benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 30587, 8, 81, 9756, 29589, 6, 21072, 6, 8, 10, 17465, 102, 4, 20, 2125, 16, 11, 83, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5663, 741, 1685, 4, 20, 33215, 16739, 9, 381, 6, 163, 119, 406, 6, 83, 6, 381, 6, 163, 119, 406, 35315, 5705, 1328, 5, 2214, 6, 2351, 10, 1372, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 55846, 51047, 51883, 51047, 52414, 62976, 71137, 50887, 51905, 54818, 70209, 50884, 51733, 53230, 71137, 50884, 51905, 53418, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 50444, 66757, 50818, 51558, 52396, 61462, 51159, 51384, 51159, 50799, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 73009, 61462, 50840, 51384, 53548, 74356, 51056, 51926, 67272, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 68475, 51732, 50444, 61462, 50867, 51384, 54185, 50695, 50334, 51159, 52405, 51159, 50799, 55846, 51047, 51883, 51047, 52414, 62976, 71137, 50887, 51905, 54818, 70209, 50884, 51733, 53230, 71137, 50884, 51905, 53418, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 50444, 66757, 50818, 51558, 52396, 61462, 51159, 51384, 51159, 50799, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 73009, 61462, 50840, 51384, 53548, 74356, 51056, 51926, 67272, 50695, 50334, 50855, 52405, 50855, 52371, 70268, 61462, 50867, 51384, 54185, 50695, 50334, 51159, 52405, 51159, 50799, 55846, 51047, 51883, 51047, 52414, 62976, 71137, 50887, 51905, 54818, 70209, 50884, 51733, 53230, 71137, 50884, 51905, 53418, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 50444, 66757, 50818, 51558, 52396, 61462, 51159, 51384, 51159, 50799, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 73009, 61462, 50840, 51384, 53548, 74356, 51056, 51926, 67272, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 50441, 51266, 54653, 61462, 50867, 51384, 50867, 51600, 54803, 51629, 53140, 50695, 50334, 51159, 51284, 50874, 52405, 51159, 50453, 51558, 54424, 51905, 56569, 51384, 50862, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 51733, 51717, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 51036, 50682, 50332, 51445, 50682, 50337, 76350, 51848, 62264, 53223, 71137, 50887, 51905, 50383, 58499, 51135, 58372, 52144, 53744, 51848, 54285, 51872, 52928, 70209, 50884, 51733, 50383, 52852, 74025, 77511, 51989, 52818, 71137, 50884, 51905, 54405, 50898, 58372, 50835, 54360, 51446, 51493, 51446, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 51479, 53885, 66757, 50818, 51558, 59996, 74025, 53338, 57517, 52465, 57590, 53528, 51848, 53595, 61462, 51159, 51384, 51159, 51525, 74025, 53338, 54842, 51750, 51989, 52349, 56331, 57517, 52748, 58372, 50829, 53447, 51541, 51273, 51541, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51605, 50682, 50332, 51492, 50682, 50337, 51492, 50416, 50832, 56933, 51848, 57236, 61462, 50840, 51384, 56330, 75691, 51135, 58372, 50863, 52111, 67257, 54285, 52992, 74356, 51056, 51926, 51056, 51525, 74025, 53338, 51130, 51989, 52818, 51181, 50895, 51273, 54285, 50898, 58372, 54248, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 51479, 53885, 61462, 50867, 51384, 50375, 55913, 51463, 54724, 52465, 57590, 57723, 50832, 52802, 50695, 50334, 51159, 52405, 51159, 51525, 51463, 57875, 51750, 53650, 75747, 51273, 51033, 56331, 54842, 52748, 58372, 50829, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 51307, 50416, 50832, 56933, 51848, 57236, 71137, 50887, 51905, 53716, 75691, 51135, 58372, 50863, 52111, 67257, 54285, 52992, 70209, 50884, 51733, 50383, 52852, 74025, 77511, 51989, 52818, 71137, 50884, 51905, 54405, 50898, 58372, 50835, 54360, 51446, 51493, 51446, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 51479, 53885, 66757, 50818, 51558, 59996, 51463, 57517, 52465, 57590, 57723, 50832, 52802, 61462, 51159, 51384, 51159, 51525, 80175, 51750, 53650, 56331, 57517, 52748, 58372, 50829, 53447, 51541, 51273, 51541, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51945, 50416, 50832, 56933, 51848, 57236, 61462, 50840, 51384, 56330, 75691, 51135, 58372, 50863, 52111, 67257, 54285, 52992, 74356, 51056, 51926, 51056, 51525, 74025, 53338, 51130, 51989, 52818, 51181, 50895, 51273, 54285, 50898, 58372, 54248, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 51479, 62961, 55448, 54811, 61462, 50867, 51384, 50375, 55913, 51463, 54724, 52465, 57590, 57723, 55448, 54054, 52802, 50695, 50334, 51159, 52405, 51159, 51525, 51463, 57875, 51750, 53650, 75747, 51273, 51033, 55448, 53841, 80175, 52748, 58372, 50829, 54468, 50918, 51216, 50918, 55846, 51047, 60177, 50938, 51883, 51047, 51733, 51717, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 64163, 51848, 62264, 53223, 51848, 51135, 58372, 52144, 50820, 51282, 51054, 50422, 60177, 51060, 50423, 51848, 54285, 51872, 52928, 51525, 74025, 77511, 51989, 50835, 51495, 51336, 50432, 55448, 50807, 51479, 58372, 73883, 51466, 54360, 51446, 51493, 51446, 56825, 51047, 52830, 51183, 51838, 53454, 51479, 53885, 51525, 74025, 53338, 57517, 52465, 57590, 50825, 51595, 51343, 50447, 51848, 53595, 51525, 74025, 53338, 54842, 51750, 51989, 50818, 51083, 51496, 50456, 56331, 57517, 52748, 58372, 56172, 55938, 50924, 53447, 51541, 51273, 51541, 55846, 51151, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51605, 50416, 50832, 56933, 51848, 57236, 55938, 51227, 50832, 75691, 51135, 58372, 50863, 51083, 51054, 52111, 67257, 54285, 52992, 51525, 74025, 53338, 51130, 51989, 70791, 51343, 50432, 51181, 50895, 51273, 50895, 55938, 51073, 51479, 58372, 50835, 51083, 51380, 50435, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 52371, 51183, 51479, 62961, 62383, 51346, 50444, 51525, 51463, 54724, 52465, 57590, 50825, 51083, 68168, 50832, 52802, 51525, 51463, 57875, 51750, 50895, 51268, 75487, 75747, 51273, 51033, 62383, 51158, 56331, 54842, 52748, 58372, 50829, 51083, 52188, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 71718, 57216, 50948, 50417, 51848, 62264, 53223, 62383, 51413, 51848, 51135, 58372, 52144, 50820, 51282, 51054, 50423, 51848, 54285, 51872, 52928, 51525, 74025, 77511, 51989, 50835, 51495, 51336, 50432, 51479, 58372, 73883, 51466, 54360, 51446, 51493, 51446, 56825, 51047, 52830, 51183, 51838, 53454, 51479, 53885, 51525, 51463, 57517, 52465, 57590, 50825, 51595, 51343, 50450, 51525, 80175, 51750, 51989, 50818, 51083, 51496, 50456, 56331, 57517, 52748, 58372, 50829, 53447, 51541, 51273, 51541, 55846, 51151, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51605, 50416, 50832, 56933, 51848, 51258, 55997, 75691, 51135, 58372, 50863, 51083, 51054, 52111, 67257, 54285, 52992, 51525, 74025, 53338, 51130, 51989, 70791, 51343, 50432, 51181, 50895, 51273, 54285, 50898, 58372, 50835, 51083, 51380, 50435, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 52371, 51183, 51479, 53885, 55448, 50952, 51525, 51463, 54724, 52465, 57590, 50825, 51083, 68168, 50832, 52802, 55448, 50830, 51525, 51463, 57875, 51750, 50895, 51268, 75487, 75747, 51273, 51033, 60177, 51221, 56331, 54842, 52748, 58372, 50829, 51083, 52188, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 51733, 51717, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 64163, 51848, 62264, 53223, 60177, 51124, 51848, 51135, 58372, 52144, 50820, 51282, 51054, 50423, 51848, 54285, 51872, 52928, 51525 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 3366, 219, 8, 980, 219, 16464, 6, 4246, 38668, 9590, 6, 21072, 6, 2382, 3459, 8669, 6, 38668, 3038, 6, 8, 38668, 22052, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 9, 12747, 741, 1685, 11, 5, 762, 9, 230, 10431, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50799, 52473, 51945, 56278, 57226, 52473, 54171, 50920, 57236, 51268, 51134, 58787, 55375, 51268, 52441, 50920, 52976, 51385, 51351, 50852, 53107, 54956, 51385, 52256, 50920, 54354, 58081, 55813, 50920, 52896, 51268, 51790, 56526, 54905, 51268, 52980, 50920, 54189, 51385, 51397, 69477, 55721, 51385, 52407, 50920, 52772, 50852, 53107, 50835, 54287, 54719, 52473, 51058, 50852, 53515, 56013, 52473, 52731, 50920, 50829, 50799, 52473, 51359, 56278, 55138, 52473, 51671, 50920, 54303, 51268, 51363, 63192, 55375, 51268, 53096, 50920, 52670, 51385, 51267, 50852, 52291, 53943, 51385, 52056, 50920, 53962, 51268, 51115, 56278, 54950, 51268, 52519, 50920, 52904, 51530, 50866, 64695, 54704, 51530, 51470, 63192, 53858, 51385, 51047, 80194, 55686, 51385, 51703, 50920, 52772, 51268, 74585, 53107, 54859, 51268, 52192, 50920, 58210, 51268, 62895, 52291, 54600, 51268, 52048, 50920, 50834, 50799, 52473, 51945, 64272, 57226, 52473, 53142, 50920, 57236, 51268, 51134, 58787, 55375, 51268, 52441, 50920, 52976, 51385, 51115, 50852, 52291, 54956, 51385, 52519, 57718, 51361, 53045, 55813, 50920, 52896, 51268, 51742, 64695, 54905, 51268, 54829, 58081, 54189, 51385, 51742, 65984, 55721, 51385, 54829, 50920, 52772, 50852, 52291, 50835, 54287, 54719, 52473, 50892, 63192, 56013, 52473, 51432, 50920, 50829, 50799, 52473, 51151, 66568, 55138, 52473, 51922, 50920, 54303, 51268, 51480, 58787, 55375, 51268, 54836, 50920, 52670, 51385, 59098, 52291, 53943, 51385, 51466, 50920, 53962, 51268, 51310, 58787, 54950, 51268, 53280, 50920, 52904, 51530, 50838, 66568, 54704, 51530, 51737, 80194, 53858, 51385, 51680, 66759, 51233, 63192, 55686, 51385, 58468, 50920, 52772, 51268, 74585, 53995, 54859, 51268, 52192, 70033, 51242, 50920, 58210, 51268, 50981, 50852, 53107, 54600, 51268, 52011, 50920, 50834, 50799, 52473, 52069, 70033, 51309, 66568, 57226, 52473, 53588, 50920, 57236, 51268, 51381, 80194, 55375, 51268, 56374, 66759, 51481, 50920, 52976, 51385, 51542, 50852, 52291, 54956, 51385, 54228, 50920, 54354, 58081, 55813, 50920, 52896, 51268, 52015, 66568, 54905, 51268, 56329, 50920, 54189, 51385, 51148, 79701, 51363, 80194, 55721, 51385, 52147, 50920, 52772, 50852, 52523, 55423, 70033, 51242, 50920, 54719, 52473, 51254, 58081, 56013, 52473, 54887, 50920, 50829, 50799, 52473, 51293, 70033, 51233, 66568, 55138, 52473, 52727, 50920, 54303, 51268, 51312, 80194, 55375, 51268, 52996, 66759, 51277, 50920, 52670, 51385, 51312, 50852, 52523, 53943, 51385, 52996, 50920, 53962, 51268, 51318, 69477, 54950, 51268, 53577, 50920, 52904, 51530, 50866, 56278, 54704, 51530, 51470, 50920, 53858, 51385, 51148, 63192, 63157, 66759, 51177, 50447, 51385, 52147, 50920, 52772, 51268, 74585, 53995, 54859, 51268, 52192, 70033, 51212, 50920, 58210, 51268, 51480, 50852, 52523, 54600, 51268, 54836, 50920, 50834, 50799, 52473, 51714, 70033, 51400, 66568, 57226, 52473, 54171, 50920, 57236, 51268, 51419, 56278, 55375, 51268, 54211, 58081, 73309, 66759, 51423, 50426, 51385, 51134, 50852, 53495, 54956, 51385, 52441, 50920, 54354, 56278, 55813, 50920, 52896, 51268, 51742, 66568, 54905, 51268, 54829, 50920, 54189, 51385, 51742, 79701, 51337, 80194, 55721, 51385, 54829, 50920, 52772, 50852, 53045, 55423, 70033, 51255, 50920, 54719, 52473, 50892, 80194, 56013, 52473, 51432, 50920, 50829, 50799, 52473, 55428, 66759, 51642, 62023, 55138, 52473, 58728, 50920, 54303, 51268, 51411, 63192, 55375, 51268, 53957, 50920, 52670, 51385, 50995, 50852, 52291, 53943, 51385, 52025, 50920, 53962, 51268, 51318, 56278, 54950, 51268, 53577, 50920, 57892, 66759, 51363, 50438, 51530, 50905, 56278, 54704, 51530, 51387, 50920, 53858, 51385, 51080, 58787, 55686, 51385, 53055, 50754, 50324, 51233, 50920, 52772, 51268, 51637, 50920, 54859, 51268, 57032, 50920, 51258, 50455, 50754, 50322, 50974, 56672, 53045, 54600, 50920, 50834, 50799, 62023, 58120, 51595, 51677, 50754, 50324, 51679, 53321, 51258, 50418, 51595, 53866, 50420, 51268, 51477, 58787, 55375, 51268, 55002, 69477, 52976, 51385, 51419, 50852, 53107, 54956, 51385, 54211, 57718, 50431, 50754, 50322, 51376, 51361, 52823, 55813, 50920, 52896, 51268, 51803, 66568, 56819, 50754, 50322, 52263, 50441, 51268, 55586, 50920, 54189, 51385, 51145, 63192, 55721, 51385, 52212, 50920, 52772, 50852, 52523, 50835, 54287, 54719, 79775, 69477, 56013, 51595, 51737, 50920, 50829, 50799, 51595, 51717, 66568, 55138, 51595, 53201, 50920, 54303, 51268, 51108, 58081, 55375, 51268, 53838, 50920, 52670, 51385, 51312, 50852, 52523, 53943, 51385, 52996, 50920, 53962, 51268, 51318, 58787, 54950, 51268, 53577, 50920, 52904, 51530, 50987, 66759, 51363, 64695, 54704, 51530, 51824, 63192, 53858, 51385, 51448, 80194, 60966, 50754, 50324, 51194, 50447, 51385, 54532, 50920, 52772, 51268, 51058, 50852, 53495, 54859, 51268, 52731, 50920, 51258, 50454, 50754, 50322, 62034, 51268, 51312, 50852, 52291, 54600, 51268, 52996, 50920, 50834, 50799, 52473, 51945, 50754, 50324, 51542, 56526, 57226, 52473, 53142, 50920, 57236, 51268, 51391, 63192, 55375, 51268, 53674, 50920, 52976, 51385, 51318, 50852, 52499, 54956, 51385, 53577, 57718, 50431, 50754, 50322, 57018, 56278, 55813, 50920, 52896, 51268, 52015, 62023, 56819, 50754, 50322, 52136, 50441, 51268, 56329, 50920, 54189, 51385, 51148, 69477, 55721, 51385, 52147, 50920, 52772, 50852, 52539, 50835, 54287, 54719, 52473, 51006, 58081, 56013, 52473, 78179, 50829, 50799, 52473, 51353, 66568, 55138, 52473, 51748, 80194, 54303, 51268, 79427, 56570, 55375, 51268, 53957, 50920, 52670, 51385, 51411, 50852, 52539, 53943, 51385, 53957, 50920, 53962, 51268, 51318, 66568, 54950, 51268, 53577, 50920, 52904, 51530, 50978, 64695, 54704, 51530, 52192, 63192, 53858, 51385, 51310, 66759, 51178, 63192, 55686, 51385, 53280, 50920, 52772, 51268, 74585, 53515, 54859, 51268, 52192, 70033, 51100, 50920, 58210, 51268, 56362, 52539, 54600, 51268, 51432, 50920, 50834, 50799, 52473, 52069, 70033, 51178, 66568, 57226, 52473, 53588, 50920, 57236, 51268, 51381, 56278, 55375, 51268, 56374, 66759, 79518, 55756, 52976, 51385, 51542, 50852, 52523, 54956, 51385, 54228, 50920, 54354, 58787, 55813, 50920, 52896, 51268, 52015, 64272, 54905, 51268, 56329, 50920, 54189, 51385, 51148, 79701, 51178, 58081, 55721, 51385, 52147, 50920, 52772, 50852, 53107, 55423, 70033, 51101, 50920, 54719, 52473, 51254, 58787, 56013, 52473, 54887, 50920, 50829, 50799, 52473, 51293, 64272, 55376, 66759, 70544, 52473, 52727, 50920, 54303, 51268, 51312, 58787, 55375, 51268, 52996, 50920, 52670, 51385, 51312, 50852, 51987, 53943, 51385, 52996, 50920, 53962, 51268, 51318, 56278, 54950, 51268, 53577, 50920, 52904, 51530, 50866, 64272, 54704, 51530, 51470, 58081, 53858, 51385, 51148, 53510, 50888, 63157, 66759, 51178, 50447, 51385, 52147, 50920, 52772, 51268, 74585, 55712, 54859, 51268, 52192, 70033, 51177, 50920, 58210, 51268, 51480, 50852, 51987, 54600, 51268, 54836, 50920, 50834, 50799, 52473, 51714, 70033, 51203, 56526, 57226, 52473, 54171, 50920, 57236, 51268, 51419, 58787, 55375, 51268, 54211, 66759, 51043, 58787, 52976, 51385, 51134, 50852, 51987, 54956, 51385, 52441, 50920, 54354, 56278, 55813, 50920, 52896, 51268, 51742, 66568, 54905, 51268, 54829, 50920, 54189, 51385, 51742, 79701, 51412, 69477, 55721, 51385, 54829, 50920, 52772, 50852 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 232, 930, 4785, 6, 22750, 1626, 11098, 8, 1007, 4, 16241, 212, 3038, 6, 21979, 8669, 6, 21072, 6, 8, 9590, 3863, 283, 561, 7, 1045, 10, 20902, 2365, 11379, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 4246, 10, 33215, 13931, 9, 272, 406, 6, 230, 401, 6, 272, 6, 230, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50457, 51774, 50840, 51614, 50846, 51515, 50884, 51440, 50840, 52233, 55856, 56708, 50880, 53151, 50385, 53290, 51111, 50913, 50921, 50920, 62519, 51236, 53914, 50863, 51601, 50913, 53107, 51004, 50416, 51614, 50840, 51774, 50846, 51515, 50887, 51440, 50846, 55308, 50887, 56065, 64941, 51515, 50887, 51774, 50840, 51440, 50840, 51614, 50855, 52665, 50887, 63647, 53963, 55519, 52087, 55983, 50920, 68002, 51059, 52834, 62736, 52001, 51573, 51236, 58099, 51774, 50840, 51614, 50840, 51515, 50887, 51440, 68147, 58446, 52870, 57849, 50880, 52338, 50840, 53649, 53127, 52417, 51614, 50880, 51515, 50883, 51774, 50884, 51440, 57148, 51987, 54121, 54496, 52834, 78562, 58446, 57014, 51614, 50887, 51515, 50884, 51774, 50887, 51440, 50887, 56708, 50840, 53151, 57919, 53914, 58900, 51383, 53301, 51987, 60372, 51515, 50884, 51440, 50884, 51774, 50884, 51614, 50884, 55308, 50840, 56065, 53353, 51987, 56038, 51515, 50887, 51774, 50840, 51614, 50855, 51440, 50840, 52665, 50840, 63647, 50383, 53830, 75820, 58446, 58514, 62161, 51170, 54591, 58677, 51515, 50887, 51440, 50887, 51774, 50887, 51614, 50887, 52338, 50887, 57849, 57148, 51987, 50863, 53341, 52539, 54763, 50803, 66629, 50887, 51660, 50855, 51434, 50887, 51773, 50962, 56049, 50821, 53883, 57148, 57803, 56379, 50385, 53830, 50936, 53321, 54121, 50962, 50421, 51660, 50841, 51434, 50846, 51773, 50884, 51774, 50884, 54277, 50887, 58047, 57148, 53107, 58830, 51660, 50855, 51434, 50887, 51773, 50887, 51774, 50883, 52665, 50840, 63647, 59453, 52087, 52539, 58245, 50843, 51454, 52834, 80144, 58446, 68196, 51066, 51236, 58459, 51660, 50840, 51774, 50884, 51434, 50884, 51773, 53963, 56093, 58221, 52338, 50887, 57849, 62268, 50913, 52786, 57405, 51774, 50887, 51660, 50855, 51773, 50887, 51434, 57772, 61141, 53607, 62047, 50913, 52699, 50385, 53290, 50879, 50443, 50920, 53041, 51434, 50887, 51774, 50880, 51660, 50855, 51773, 50887, 67792, 50880, 54012, 50385, 52272, 55059, 50920, 52300, 54763, 52116, 51774, 50880, 51434, 50887, 51773, 50887, 51660, 50855, 56049, 50840, 53883, 56428, 52539, 60535, 51660, 50867, 51434, 50840, 51773, 50887, 51774, 50840, 52665, 50840, 63647, 56428, 52699, 58514, 50926, 50599, 59169, 50920, 60321, 55263, 63958, 65608, 51774, 50880, 51660, 50840, 51434, 50887, 51773, 50880, 52338, 50887, 57849, 55790, 56494, 76566, 52502, 50846, 51601, 50920, 70325, 51081, 54756, 68472, 53607, 63094, 62721, 51774, 50813, 51515, 50841, 51440, 50841, 53151, 50841, 51996, 50846, 74417, 50976, 50920, 53353, 53983, 51021, 51587, 56093, 57646, 50920, 62239, 51146, 50811, 51774, 54766, 53762, 53846, 73107, 56494, 52968, 51515, 50841, 51440, 50841, 52196, 50820, 56065, 54660, 62721, 51836, 50813, 52338, 50841, 50715, 50292, 51021, 50913, 53995, 53871, 55959, 55736, 51614, 50841, 51515, 50855, 51440, 61682, 52502, 56691, 54162, 59184, 51146, 50811, 51515, 50855, 51614, 50855, 51440, 50855, 52665, 50841, 52601, 57113, 54545, 59901, 79297, 67687, 51054, 51170, 53353, 52523, 53759, 59805, 58655, 51774, 50855, 51515, 50840, 51440, 50855, 53151, 50855, 51996, 61682, 56455, 53353, 52523, 53871, 63228, 51339, 73168, 54906, 50823, 51240, 53607, 62955, 51774, 50840, 51515, 50846, 51440, 50841, 56065, 50846, 52196, 73107, 53127, 63317, 50913, 52539, 53846, 56122, 57859, 51614, 50840, 51515, 50855, 51440, 50813, 52338, 50846, 51836, 52786, 58906, 58514, 56460, 54880, 64963, 50913, 58295, 56419, 50715, 50292, 51599, 50803, 67547, 50855, 51515, 50855, 51440, 50841, 52665, 50855, 52601, 53127, 58906, 57113, 61429, 65608, 51614, 50813, 51515, 50867, 51440, 50841, 50715, 50280, 61152, 53353, 51987, 53473, 77264, 53223, 64076, 51996, 50841, 53151, 56455, 53353, 52539, 54739, 63501, 62721, 51515, 50840, 51774, 50841, 51440, 50841, 51996, 50855, 53151, 50855, 74417, 67549, 55399, 52199, 57772, 52220, 64262, 50920, 59971, 51146, 50811, 51774, 50840, 51515, 50840, 51440, 50855, 52196, 50841, 56065, 52539, 58906, 58251, 53301, 53833, 66380, 62721, 52338, 50846, 51836, 50841, 50715, 50292, 51021, 50913, 51987, 54739, 61758, 79737, 51614, 50841, 51515, 50841, 51440, 55150, 54739, 54449, 52790, 50859, 50440, 51146, 50811, 51515, 50867, 51614, 50855, 51440, 50867, 52665, 50841, 52601, 56410, 54545, 61682, 52616, 79297, 67687, 77048, 53995, 53846, 55263, 55551, 51774, 50855, 51515, 50855, 51440, 50855, 51996, 50855, 53151, 67153, 53078, 52523, 53852, 59520, 53083, 51430, 50976, 61322, 50949, 50715, 50292, 50923, 51240, 53607, 58295, 54739, 58615, 51434, 50840, 51607, 55150, 61682, 60053, 52043, 50855, 54012, 50855, 77348, 58965, 50920, 53766, 56122, 53607, 59025, 51607, 50840, 51773, 50840, 52043, 50855, 51946, 50840, 53883, 55150, 59520, 58514, 53607, 54880, 50841, 51601, 51487, 50803, 71962, 57343, 54591, 54739, 60442, 51773, 50846, 51607, 50841, 52043, 50841, 52032, 50841, 58047, 58250, 57113, 52637, 60480, 71550, 51434, 50887, 51607, 50867, 52043, 50855, 51836, 51095, 57849, 50855, 50715, 50287, 73254, 59520, 56152, 53301, 53833, 59509, 50913, 52523, 54739, 55549, 57469, 51430, 50802, 51607, 50841, 51434, 50820, 52043, 50841, 57849, 50841, 50715, 50292, 50976, 51240, 53607, 54608, 54162, 51021, 51587, 52667, 50920, 54986, 51434, 50855, 51607, 50841, 52043, 50841, 77348, 50846, 54012, 52539, 52790, 75533, 56494, 52702, 54077, 50920, 57014, 51946, 50855, 53883, 50813, 71962, 56562, 55959, 57793, 67387, 51062, 50824, 51773, 50841, 51607, 50855, 52043, 54766, 56691, 54162, 50823, 51587, 58953, 51607, 50855, 52043, 50855, 51773, 50855, 52032, 50855, 58047, 57113, 54545, 64915, 50920, 59520, 54763, 53353, 57723, 61322, 65030, 64599, 51434, 50855, 51607, 50840, 52043, 50841, 57849, 50855, 51836, 52790, 52523, 58906, 56455, 54162, 63318, 50920, 59658, 53607, 53632, 56250, 51434, 50840, 51607, 50846, 52043, 50841, 54012, 50867, 77348, 58906, 53127, 50846, 75464, 53914, 53846, 57627, 52087, 55138, 51607, 50855, 51773, 50840, 52043, 50813, 51946, 50840, 53883, 59302, 56460, 52523, 53871, 56804, 53576, 51487, 50803, 71962, 56284, 53078, 53238, 59174, 51773, 50841, 51607, 50855, 52043, 50841, 52032, 50841, 58047, 58906, 57113, 54545, 57286, 71993, 51773, 50813, 51607, 50867, 52043, 50855, 50715, 50287, 58446, 52502, 53944, 77264, 56455, 61426, 51836, 50841, 57849, 52790, 52539, 54739, 56152, 59382, 51814, 51352, 51774, 50841, 51515, 50846, 51440, 50841, 51996, 50855, 53151, 50855, 74417, 56284, 54987, 52199, 53579, 50823, 51587, 58855, 50920, 63337, 51774, 50840, 51515, 50840, 51440, 50855, 52196, 50855, 56065, 52532, 52539, 53473, 50369, 52073, 58251, 69824, 51836, 50855, 50715, 50292, 80258, 54739, 61758, 57793, 53162, 52338, 55761, 51440, 50855, 51614, 50841, 51515, 53852, 54449, 52790, 58295, 53409, 51614, 50855, 51515, 50867, 51440, 50867, 52665, 50841, 52601, 53127, 61682, 56017, 56353, 67687, 70094, 53846, 55263, 53353, 62662, 51515, 50855, 51774, 50855, 51440, 50855, 51996, 50855, 53151, 52786, 61682, 56455, 53078, 54880, 62519, 50920, 54739, 50823, 51240, 53607, 50859, 51601, 51774, 50840, 51515, 50855, 51440, 50855, 52196, 50841, 56065, 61682, 53127, 63094, 50913, 52523, 53766, 56122, 57646, 51614, 50840, 51515, 50840, 51440, 50855, 52338, 50840, 51836, 54766, 52523, 54739, 61682, 58514, 58099, 50715, 50292, 52466, 64899 ]
[ 0, 250, 182, 1769, 8, 765, 37903, 9, 3152, 930, 11, 163, 428, 3694, 6, 4246, 10, 11739, 9, 1893, 43639, 6, 30587, 8, 21979, 29589, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 648, 2933, 5466, 19, 9066, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50804, 58320, 54899, 51732, 54542, 51732, 51521, 51732, 52028, 51732, 53550, 50811, 55669, 52952, 50804, 50811, 53526, 50811, 55350, 50811, 50799, 57355, 51732, 56841, 51732, 50804, 50811, 51885, 51184, 51246, 51732, 53550, 50811, 55669, 50811, 58497, 51184, 53550, 50811, 53526, 50811, 55350, 56628, 57454, 50802, 55860, 50802, 55669, 50811, 52305, 51059, 51846, 51009, 50427, 54978, 50802, 57454, 71692, 51611, 79290, 57355, 51732, 54899, 51732, 53550, 50811, 58497, 51732, 52028, 51732, 55669, 52952, 50804, 50811, 53526, 50811, 55350, 50811, 55669, 52952, 50804, 50811, 55669, 52952, 50804, 50811, 53526, 50811, 55350, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19448, 5175, 25771, 2214, 14, 1575, 10, 38668, 2236, 981, 5, 33301, 6, 7513, 30, 38668, 22052, 6, 21979, 8669, 6, 1021, 5901, 1243, 6, 8, 21072, 4, 20, 2125, 16, 11, 272, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 10, 2635, 1614, 1073, 1020, 20889, 4, 20, 33215, 16739, 9, 1918, 406, 6, 272, 119, 1176, 406, 6, 211, 6, 8, 272, 73, 387, 3639, 7, 5, 5679, 26709, 8, 23975, 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 ]	[ 57528, 50799, 68444, 51196, 58707, 51009, 53985, 51009, 53132, 51009, 52945, 51009, 52689, 51009, 51927, 51635, 55138, 64576, 50372, 53823, 53419, 53420, 62701, 50904, 65984, 55795, 67625, 67195, 54018, 52966, 64576, 51697, 50852, 53495, 51306, 50429, 62701, 53701, 50578, 52909, 53814, 63770, 53330, 53515, 53593, 64576, 50907, 61803, 53115, 73806, 50896, 58707, 50824, 53985, 50824, 53132, 50824, 53391, 64828, 52499, 77060, 64576, 54220, 54435, 54406, 62701, 68441, 53045, 55354, 67625, 60658, 53430, 69579, 50896, 58707, 51072, 53985, 50824, 52945, 50824, 64576, 63376, 50370, 52388, 52499, 51258, 50453, 62701, 57194, 54719, 63770, 50925, 58081, 54625, 52855, 50922, 50928, 50799, 68445, 51469, 58707, 51184, 64183, 53985, 51184, 52358, 51987, 51306, 50417, 64576, 50372, 53823, 53518, 53738, 62701, 55181, 53515, 55133, 67625, 60527, 53622, 52670, 64576, 51697, 50852, 53495, 64044, 62701, 50372, 53823, 53622, 53962, 63770, 50862, 69477, 57398, 53452, 52168, 57037, 52168, 53557, 52168, 54045, 52168, 55205, 52168, 50435, 64576, 51254, 61803, 52958, 50920, 77060, 64576, 50886, 55824, 51139, 54435, 54485, 62701, 56071, 54926, 67625, 50912, 50769, 50296, 52922, 53166, 63770, 50810, 50769, 50294, 53333, 53495, 71670, 72011, 50862, 59261, 54821, 54059, 67625, 50854, 59261, 53067, 54625, 63770, 57427, 50908, 50799, 68444, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 51758, 51090, 72011, 50918, 59151, 51314, 53752, 68670, 63128, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 52966, 51032, 56106, 52493, 53495, 51306, 50429, 50947, 50372, 53823, 52909, 53814, 51064, 51559, 53515, 53593, 51758, 50961, 51032, 55719, 52348, 52909, 53115, 69579, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 52887, 50930, 59151, 74744, 52100, 53067, 77060, 50929, 51179, 54435, 67520, 51169, 54394, 50929, 63711, 55354, 50970, 51380, 69603, 51382, 53934, 53495, 51258, 63016, 54719, 58081, 54625, 69603, 50799, 67751, 51300, 57922, 51300, 57922, 51285, 54911, 51300, 52632, 51362, 56726, 51878, 53752, 51987, 51306, 50417, 71023, 51460, 51456, 54561, 53738, 51549, 52853, 53515, 55133, 51316, 56386, 53622, 52670, 77528, 69921, 53708, 53495, 64044, 51032, 53277, 50578, 53622, 53962, 51316, 51297, 69477, 56720, 51032, 54950, 58707, 51196, 53391, 51009, 52689, 51009, 53686, 51009, 51064, 51218, 72011, 51285, 50700, 50345, 52168, 61803, 52958, 50920, 77060, 52587, 51541, 54933, 54435, 54485, 50920, 54926, 70649, 51382, 53347, 53495, 51129, 63016, 65496, 51032, 61021, 51064, 53556, 50947, 55004, 54625, 51064, 70160, 50908, 50799, 69579, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 52887, 51226, 51032, 50887, 59151, 51314, 53752, 60292, 55138, 50929, 65279, 53419, 61543, 51169, 53420, 50929, 53600, 52499, 55795, 50970, 51412, 51170, 54018, 50891, 51302, 52493, 53495, 51306, 50429, 51456, 52909, 50908, 51361, 53515, 57201, 50960, 70709, 52887, 50883, 50986, 58491, 52348, 52909, 53115, 68445, 51196, 53985, 51009, 53391, 51009, 53686, 51009, 53149, 50930, 50700, 50345, 74744, 52100, 53067, 77060, 50986, 52771, 54435, 54406, 67765, 50920, 55354, 51070, 53430, 50970, 52063, 50804, 53934, 53495, 51258, 63016, 54719, 58081, 54625, 69603, 50799, 73806, 51285, 67751, 51300, 57922, 51300, 54911, 51300, 52632, 51226, 77528, 51552, 56726, 51878, 53752, 51987, 51306, 50417, 51456, 54561, 53738, 51549, 51156, 53515, 55133, 51316, 60689, 53622, 50837, 51302, 53708, 53495, 64044, 51032, 51014, 51456, 53622, 53962, 71023, 51739, 53107, 57398, 51316, 70301, 51032, 53439, 57922, 51196, 53132, 51009, 52689, 51009, 53873, 51009, 54307, 51314, 61803, 68210, 51064, 71442, 50920, 77060, 54456, 50983, 54933, 54435, 54485, 50920, 54926, 51070, 53166, 63770, 78905, 53347, 53495, 51129, 50451, 51032, 66730, 51064, 54781, 51169, 60387, 54059, 51064, 58184, 54625, 51064, 52572, 52909, 59119, 51032, 51145, 50799, 71079, 51585, 53132, 51352, 54911, 51352, 54669, 51352, 52811, 51090, 67625, 51527, 50700, 50343, 52140, 53752, 60292, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 50891, 51302, 52493, 53495, 51306, 50429, 51456, 52909, 50908, 51361, 53515, 53593, 52811, 55130, 52348, 52909, 53115, 52811, 54451, 52100, 53067, 51129, 51572, 54435, 54406, 51032, 52699, 55354, 68445, 50936, 54911, 50860, 53391, 50860, 53686, 50860, 51316, 50808, 50700, 50345, 51174, 69603, 51382, 53934, 53495, 51258, 50453, 58707, 50806, 53391, 50802, 52689, 50802, 53873, 50802, 51549, 50950, 54307, 50972, 51070, 54719, 58081, 54625, 58707, 50811, 67751, 50811, 67751, 50880, 54911, 50811, 51438, 51090, 56726, 52168, 69603, 50799, 68444, 51196, 58707, 51009, 67751, 51009, 54911, 51009, 53054, 51362, 53752, 51987, 51306, 50417, 71023, 51460, 51456, 54561, 63300, 53515, 55133, 51170, 53622, 52670, 63770, 68797, 53708, 53495, 64044, 51563, 50387, 53823, 53622, 53962, 52866, 51406, 53107, 54002, 51549, 51204, 75620, 50821, 61803, 52958, 58707, 51196, 57922, 51009, 54911, 51009, 54669, 51009, 75620, 52097, 50700, 50343, 51314, 50920, 77060, 52587, 51541, 54933, 54435, 54485, 50920, 54926, 67062, 51454, 70649, 51382, 53347, 53495, 71670, 51563, 57500, 54059, 52866, 50828, 77528, 58446, 54625, 51438, 51552, 70649, 50799, 55327, 51285, 53985, 51300, 53391, 51300, 53686, 51300, 52660, 50896, 50700, 50345, 51878, 53752, 60292, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 50891, 51302, 52493, 53495, 51306, 50429, 51563, 53597, 50578, 52909, 53814, 52866, 51421, 53515, 53593, 67751, 51407, 57922, 51407, 57922, 51685, 54911, 51407, 52632, 50961, 51438, 50896, 56726, 52168, 50798, 54538, 51539, 52909, 53115, 52632, 54451, 52100, 53067, 51129, 51572, 54435, 54406, 50920, 55354, 51070, 63078, 51563, 51693, 50449, 51438, 52805, 51549, 51423, 50769, 50299, 50928, 57576, 52586, 53495, 51258, 50453, 60929, 54261, 54719, 57576, 51139, 52291, 54625, 69603, 50799, 68444, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 51758, 51090, 54776, 51148, 53494, 51148, 53557, 51148, 72011, 50918, 59151, 51314, 53752, 69722, 61329, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 52966, 51032, 52279, 52493, 53495, 51306, 50429, 50947, 52346, 50578, 52909, 53814, 51064, 53065, 53515, 53593, 51758, 50961, 51032, 53690, 52348, 52909, 53115, 69579, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 52887, 50930, 54776, 51148, 53494, 51148, 53557, 51148, 59151, 74744, 52100, 53067, 77060, 50929, 51421, 54435, 67520, 51169, 53325, 50920, 58953, 50929, 67676, 50970, 51351, 69603, 51382, 53934, 53495, 51258, 63016, 54719, 58081, 54625, 69603, 50799, 67751, 51300, 57922, 51300, 57922, 51285, 54911, 51300, 52632, 51362, 56067, 51535, 56335, 51535, 54315, 51535, 56726, 51878, 53752, 51987, 51306, 50417, 71023, 51460, 51456, 54561, 53738, 51549, 51156, 53515, 59013, 51438, 53109, 51549, 50837, 51316, 56386, 53622, 52670, 77528, 69921, 53708, 53495, 64044, 51032, 53277, 50578, 53622, 50928, 51361, 53107, 57398, 51316, 75116, 51032, 54248, 58707, 51196, 53391, 51009, 52689, 51009, 53686, 51009, 53452, 51148, 53557, 51148, 57037, 51148, 51064, 51446, 72011, 51285, 50700, 50345, 52168, 61803, 52958, 50920, 77060, 52587, 51541, 54933, 54435, 54485, 50920, 54926, 70649, 51382, 53347, 53495, 51129, 63016, 54059, 50947, 55217, 54625, 51064, 58724 ]
[ 0, 713, 8787, 25771, 5175, 15229, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 30853, 23, 10, 16906, 352, 226, 22740, 20889, 4, 660, 21979, 8669, 8, 3551, 139, 185, 5, 483, 6, 7513, 30, 10, 6755, 12547, 6, 38668, 11212, 6, 8, 38668, 2236, 6, 32971, 561, 10, 5797, 990, 1506, 9, 32625, 8, 5679, 26709, 34879, 4, 20, 2125, 16, 17407, 30, 10, 16331, 13931, 9, 230, 8, 211, 119, 406, 428, 245, 73, 347, 40286, 6, 2351, 41, 5466, 14, 19101, 26545, 8, 3722, 22845, 41708, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 63133, 51243, 51136, 51381, 50929, 52071, 50947, 51714, 51032, 51151, 54713, 52024, 50416, 51743, 51417, 51656, 51417, 52626, 51417, 53011, 51417, 55724, 51417, 50426, 50986, 52140, 50432, 51136, 51637, 50438, 52402, 51016, 51743, 51016, 52430, 51016, 53941, 51016, 53011, 58833, 52133, 50943, 52402, 50943, 52036, 50943, 53448, 50943, 53941, 79075, 51136, 51753, 50456, 67765, 50459, 50947, 50859, 63133, 51243, 50970, 51381, 50929, 52071, 51064, 51714, 51316, 51151, 53100, 51446, 51743, 51446, 52137, 51446, 53155, 51446, 54296, 51446, 50426, 51317, 52140, 50432, 50970, 51637, 52402, 51060, 52332, 51060, 52430, 51060, 53941, 51060, 53011, 51060, 50439, 51743, 51077, 51615, 51077, 52735, 51077, 54296, 51077, 58209, 51077, 50453, 50970, 51753, 50456, 67765, 50459, 51064, 50859, 63133, 51449, 51136, 52140, 50929, 51945, 50947, 51359, 51032, 51151, 51743, 51077, 51656, 51077, 52626, 51077, 53011, 51077, 55724, 69508, 50986, 67608, 52402, 50889, 51743, 50889, 52430, 50889, 53941, 50889, 53011, 55082, 51743, 50807, 51656, 50807, 52626, 50807, 53011, 50807, 55724, 58031, 51136, 70347, 71257, 50461, 51615, 51274, 51863, 51274, 53976, 51274, 58209, 51274, 54648, 51274, 66474, 51592, 51064, 52335, 51316, 51714, 51438, 52335, 51563, 51714, 50432, 51743, 51173, 51615, 51173, 52626, 51173, 53011, 51173, 58209, 76622, 51615, 51003, 51863, 51003, 53976, 51003, 58209, 51003, 54648, 51003, 50449, 51863, 50889, 52414, 50889, 53718, 50889, 54648, 50889, 54358, 63433, 50970, 62034, 51064, 51008, 62292, 57239, 51316, 50855, 63133, 51449, 51136, 52140, 50929, 51945, 50947, 51359, 51032, 51151, 51711, 51356, 52340, 51356, 53718, 51356, 54648, 51356, 55769, 51356, 62292, 52410, 56496, 54675, 56496, 52030, 50986, 51314, 54650, 66519, 54650, 61147, 51743, 50889, 51656, 50889, 52626, 50889, 53011, 50889, 55724, 55480, 54019, 67976, 51711, 50807, 52340, 50807, 53718, 50807, 54648, 50807, 55769, 52728, 54019, 55680, 51136, 70347, 71257, 56496, 66426, 51615, 50983, 51863, 50983, 53976, 50983, 58209, 50983, 54648, 50983, 54650, 50811, 66474, 51592, 51064, 52335, 51316, 51714, 51438, 52335, 51563, 51714, 50416, 54019, 50817, 54650, 51009, 50431, 52255, 50806, 51711, 50806, 54339, 50806, 55724, 50806, 54648, 52322, 51863, 50889, 52414, 50889, 53718, 50889, 54648, 50889, 54358, 55082, 51743, 50807, 52414, 50807, 54307, 50807, 54358, 50807, 56991, 58031, 50970, 62034, 51064, 71434, 51316, 59700, 51743, 51991, 51838, 51991, 55815, 51991, 55769, 51991, 55851, 51991, 58700, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 50425, 62670, 54851, 50986, 52140, 50430, 64616, 54729, 50970, 51637, 50436, 62303, 51552, 50453, 50970, 50863, 51743, 51255, 51656, 51255, 52626, 51255, 53011, 51255, 53827, 51255, 56848, 57241, 50970, 50959, 50457, 64435, 56924, 50947, 50859, 66265, 59616, 64435, 65175, 51615, 52500, 51863, 52500, 53976, 52500, 58209, 52500, 54648, 52500, 56848, 50809, 58700, 51449, 50970, 52140, 50929, 51945, 51064, 51359, 51316, 79197, 64435, 51407, 50432, 51317, 51314, 50453, 50970, 70347, 52689, 50823, 71257, 50457, 58784, 51045, 50461, 55840, 52149, 50799, 52689, 50802, 58784, 51012, 51504, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 57665, 51132, 60508, 52133, 51036, 51881, 51036, 52036, 51036, 53448, 51036, 53941, 51036, 51402, 52871, 53686, 51021, 56148, 56832, 66245, 52710, 53686, 50893, 56148, 50893, 50986, 52140, 50804, 51739, 64261, 52749, 53873, 50936, 54997, 50865, 50970, 51637, 57665, 70150, 51556, 52841, 53873, 50806, 54997, 53417, 80127, 70981, 54992, 62789, 54707, 53538, 67501, 61841, 54992, 69323, 54707, 63944, 51739, 53532, 50970, 52223, 52955, 53686, 51388, 56148, 51060, 50970, 55999, 52937, 50947, 52189, 50812, 50799, 53873, 50890, 54997, 50809, 51504, 51243, 50970, 51381, 50929, 52071, 51064, 51714, 51316, 51151, 53100, 51696, 51743, 51696, 52137, 51696, 53155, 51696, 54296, 51696, 57665, 51132, 66305, 54992, 50930, 50416, 54707, 58767, 53873, 53241, 54997, 51605, 50791, 64540, 66245, 51620, 51317, 52140, 50804, 51739, 64261, 51628, 50970, 51637, 57665, 50433, 51132, 62922, 79161, 80127, 71694, 67501, 74780, 51739, 53532, 50970, 51753, 50791, 52955, 52689, 50860, 58784, 51138, 50929, 56835, 52937, 51064, 52189, 57614, 51132, 51014, 50799, 52689, 50802, 58784, 50923, 51504, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 52133, 51359, 51881, 51359, 52036, 51359, 53448, 51359, 53941, 51359, 57665, 51402, 52871, 53686, 51805, 59236, 56148, 51033, 51510, 52710, 53686, 51012, 56148, 50911, 50986, 52140, 50804, 51739, 64261, 52749, 53873, 51030, 54997, 50924, 50970, 51637, 57665, 70150, 51556, 52841, 53873, 50923, 54997, 54065, 80127, 70981, 54992, 62789, 54707, 53538, 67501, 61841, 54992, 56160, 54707, 54581, 51739, 53532, 50970, 52223, 64848, 53686, 58954, 56148, 51388, 50970, 55999, 52937, 50947, 52189, 60091, 53873, 50821, 50799, 54997, 50859, 51725, 51243, 50970, 51381, 50929, 52071, 51064, 51714, 51316, 51151, 53100, 51264, 51743, 51264, 52137, 51264, 53155, 51264, 54296, 51264, 57665, 51132, 74947, 54992, 51010, 50416, 54707, 61060, 53873, 52536, 54997, 51605, 50791, 64540, 66245, 51620, 51317, 52140, 50804, 51739, 64261, 51628, 50970, 51637, 57665, 70150, 51556, 79161, 80127, 71694, 67501, 74780, 51739, 53532, 50970, 51753, 50791, 52955, 52689, 50860, 58784, 51021, 50929, 56835, 52937, 51064, 52189, 50800, 50799, 52689, 50802, 58784, 50923, 51504, 51449, 50970, 51518, 50947, 51359, 51032, 51151, 52133, 51696, 51881, 51696, 52036, 51696, 53941, 51696, 53448, 51696, 57665, 70150, 51402, 52871, 53686, 51030, 56148, 55271, 66245, 52710, 53686, 50802, 56148, 55020, 51739, 64261, 52749, 53873, 50936, 54997, 50924, 50986, 51314, 57665, 51132, 62922, 52841, 53873, 50802, 54997, 53960, 80127, 70981, 54992, 56059, 54707, 56832, 67501, 61841, 54992, 56827, 54707, 54780, 51739, 53532, 50970, 51916, 52955, 53686, 51505, 56148, 51286, 50970, 52217, 63295, 50812, 50799, 53873, 50890, 54997, 50809, 50970, 51592, 51064, 52335, 51316, 51714, 51438, 52335, 51563, 51714, 53181, 50895, 53100, 50895, 53100, 51036, 51743, 51036, 52137, 51036, 54296, 50895, 53155, 51036, 54296, 51036, 57665, 51132, 66305, 54992, 50950, 50416, 54707, 58481, 53873, 50821, 54997, 55701, 50419, 53686, 50890, 56148, 68709, 59236, 53873, 51352, 54997, 53174, 51510, 61408, 51739, 64261, 51628, 57665, 50433, 51132, 62922, 79161, 80127, 71694, 67501, 74780, 51739, 53532, 50970, 67141, 52955, 52689, 50860, 58784, 51138, 51064, 61509, 52937, 51316, 52873, 57614, 52133, 51359, 51881, 51359, 52036, 51359, 53448, 51359, 53941, 51359, 50799, 52689, 50802, 58784, 50923, 51504, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 57665, 70150, 51402, 52871, 53686, 50936, 56148, 55271, 66245, 52710, 53686, 50802, 50986, 52140, 50804, 51739, 56998, 56148, 51012, 51532, 52749, 53873, 51030, 54997, 50948, 50970, 51637, 57665, 51132, 62922, 52841, 53873, 50976, 54997, 62003, 80127, 52597, 54992, 51021, 54707, 56832, 67501, 52848, 54992, 51388, 54707, 69405, 51739, 53532, 50970, 52223, 52955, 53686, 75700, 55999, 57303, 56148, 70891, 50947, 52189, 60091, 53100, 51077, 51743, 51077, 52137, 51077, 53155, 51077, 54296, 51077, 50799, 53873, 50821, 54997, 50858, 51504, 51314, 50970, 51709, 50929, 51419 ]
[ 0, 250, 15352, 30054, 8, 19448, 19834, 2125, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 6755, 12547, 6, 3459, 9590, 6, 13305, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 8757, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 274, 73, 534, 6, 8, 230, 119, 1176, 406, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 56103, 50791, 54968, 51471, 53028, 55229, 51471, 51658, 53989, 79837, 73574, 51159, 51086, 51267, 50899, 51073, 51146, 69556, 58809, 50828, 51214, 51055, 51086, 51267, 50916, 65503, 51290, 51430, 51157, 51755, 54192, 50841, 51086, 51191, 50916, 51191, 50861, 51091, 51086, 51241, 50916, 51391, 50861, 51391, 52206, 51496, 53117, 51141, 51086, 51605, 50916, 52392, 50861, 53241, 50432, 71226, 50839, 52206, 51055, 51086, 51115, 78338, 50861, 51218, 51814, 51189, 51086, 51790, 50916, 51790, 50861, 51452, 50450, 60319, 50828, 51086, 51116, 50916, 51255, 66180, 52206, 51048, 51487, 51159, 51755, 54192, 71807, 51417, 50916, 51397, 50877, 51397, 51247, 51196, 50916, 51077, 67663, 50876, 51336, 51430, 51336, 50900, 51991, 50916, 52392, 50877, 52392, 51658, 54844, 50828, 51247, 51235, 50900, 51238, 50916, 51221, 50877, 51255, 51146, 51267, 50900, 51448, 50916, 51397, 79379, 50450, 60319, 50841, 51247, 51116, 50877, 51238, 79844, 50916, 51267, 51430, 51056, 51755, 54192, 69348, 51241, 50877, 51362, 50973, 51204, 51086, 51419, 70836, 50877, 51351, 51247, 51141, 53117, 51141, 51086, 51991, 50916, 52536, 50877, 52536, 50432, 61904, 50839, 51247, 51235, 51814, 51267, 50871, 51218, 50877, 51343, 50876, 51295, 74720, 50871, 51803, 50877, 51803, 50444, 51146, 52545, 50285, 56160, 58809, 69348, 51124, 79724, 50876, 51238, 51247, 51159, 51430, 51267, 51755, 54192, 50841, 53117, 51141, 51214, 51661, 51086, 51448, 50899, 51448, 50989, 51448, 50899, 51336, 50989, 51183, 50973, 51077, 50899, 52536, 50989, 51991, 50973, 52536, 51658, 54844, 72974, 51238, 50989, 51221, 50973, 50991, 51214, 51055, 51146, 51157, 51086, 51413, 50899, 51562, 50989, 51535, 56357, 58833, 58809, 79837, 79746, 51290, 50989, 51109, 50973, 51073, 51430, 51073, 55678, 51090, 51755, 54192, 50846, 51086, 51294, 50916, 51204, 50861, 51294, 51086, 51241, 50916, 51351, 50861, 51419, 52206, 51189, 53117, 51295, 51086, 52500, 50916, 52392, 50861, 52392, 53302, 51761, 50432, 71226, 50839, 52206, 51204, 51086, 51091, 50916, 51343, 74367, 51814, 51218, 51086, 51452, 50916, 51591, 50861, 51675, 52564, 51496, 50438, 51170, 51129, 50440, 51170, 77060, 51170, 51129, 50443, 51170, 57536, 51170, 51129, 50446, 51170, 63640, 51170, 65589, 51170, 54044, 60319, 56455, 51004, 51086, 51238, 50916, 50991, 70135, 52206, 51566, 51487, 51157, 53191, 50896, 50452, 51170, 63659, 51170, 67521, 51170, 54719, 51170, 72204, 51170, 59506, 51170, 61969, 51170, 50982, 51755, 53989, 56455, 50928, 51430, 51343, 51247, 51661, 50900, 51749, 50916, 51448, 50877, 51397, 50916, 51103, 50877, 51183, 50876, 51077, 50900, 53241, 50916, 52536, 50877, 52536, 55678, 51356, 50416, 51170, 62716, 51170, 73954, 51170, 54183, 51170, 65587, 51170, 56016, 51170, 63026, 51170, 52976, 51170, 50908, 50428, 51170, 58832, 51170, 66284, 51170, 53670, 51170, 59383, 51170, 55799, 51170, 58286, 51170, 50891, 51658, 54192, 55202, 50891, 50900, 51221, 68575, 50877, 51238, 51247, 51055, 51146, 51267, 50900, 51417, 50916, 51749, 50877, 51749, 56357, 50896, 50440, 51170, 56432, 51170, 65672, 51170, 53594, 51170, 59265, 51170, 54914, 51170, 57989, 51170, 52805, 58809, 56233, 50863, 51247, 51235, 50877, 51116, 50876, 51238, 50916, 51157, 51430, 51073, 55678, 51090, 50452, 51170, 56782, 51170, 60570, 51170, 53555, 51170, 57950, 51170, 54600, 51170, 57995, 51170, 50837, 51755, 54192, 56233, 62252, 51134, 50877, 51091, 50973, 51351, 51086, 51542, 50871, 51191, 50877, 51191, 51247, 50983, 53117, 50983, 51086, 53241, 50916, 52536, 50877, 51991, 53302, 51343, 50416, 51170, 56127, 51170, 61732, 51170, 52944, 51170, 55983, 51170, 53109, 51170, 58990, 51170, 52712, 51170, 68564, 51170, 55001, 51170, 60741, 51170, 52818, 71226, 56455, 50829, 51247, 51124, 51814, 63882, 51141, 50877, 51295, 50876, 74886, 51675, 50871, 52015, 50877, 51803, 52564, 51343, 50434, 51170, 54288, 51170, 57405, 51170, 52766, 51170, 63442, 51170, 55262, 51170, 59808, 51170, 52986, 51170, 50834, 51146, 52545, 50285, 50893, 50446, 51170, 54847, 51170, 58078, 51170, 52725, 58809, 55202, 62847, 51116, 50877, 51255, 77115, 51247, 51055, 51430, 51290, 55678, 51016, 50452, 51170, 53922, 51170, 57583, 51170, 52579, 51170, 50820, 51755, 54192, 55202, 50839, 53117, 79449, 52195, 50989, 51661, 50973, 51472, 51086, 51562, 50899, 51562, 50989, 51535, 51214, 51336, 50899, 51336, 50989, 51336, 50973, 51077, 53302, 52097, 50420, 51220, 51749, 51658, 54192, 50841, 50997, 51446, 50899, 51291, 50899, 51285, 50989, 51446, 50989, 52097, 50906, 51291, 50997, 51397, 50899, 51562, 50989, 51562, 51799, 51103, 50989, 51314, 50906, 51244, 50902, 51244, 56357, 51054, 50445, 50861, 50928, 50877, 63491, 50906, 51126, 50448, 50876, 69875, 50902, 50971, 51899, 50828, 55678, 50806, 50451, 50968, 78127, 50931, 60554, 50951, 66663, 50999, 62356, 51081, 55370, 51456, 50949, 56357, 50923, 50457, 51062, 62309, 51146, 57400, 51430, 57867, 51787, 50839, 51755, 51139, 53078, 63279, 52169, 50310, 52363, 50315, 52363, 50287, 51204, 50899, 51685, 50989, 51896, 50973, 52282, 50899, 51445, 50899, 51353, 50989, 51449, 50973, 51445, 56433, 51090, 52399, 79119, 50899, 53130, 50310, 68839, 52169, 50310, 51452, 55618, 51129, 51694, 51406, 52535, 50863, 50899, 60127, 52415, 50315, 68839, 51749, 55678, 60247, 68637, 56544, 52755, 50928, 51214, 51189, 50899, 51218, 50989, 51141, 50973, 50983, 56433, 52311, 53198, 51129, 79321, 53078, 53114, 68637, 52694, 63640, 51236, 52532, 50891, 51899, 51187, 56128, 52790, 50891, 51799, 63891, 51167, 50989, 51354, 50973, 51215, 50989, 51221, 50973, 51124, 50899, 51267, 50989, 51157, 50973, 51109, 50453, 51214, 52643, 58075, 54741, 52532, 50928, 51799, 52567, 50913, 51004, 52759, 50800, 79970, 53078, 50825, 52206, 51189, 50899, 51115, 50871, 51218, 50906, 51218, 50899, 51336, 50871, 51356, 50906, 51527, 50899, 51359, 53812, 50923, 52399, 52694, 75816, 52071, 53812, 54901, 73245, 51694, 51406, 52535, 50891, 50906, 51422, 53812, 55214, 68637, 55303, 52755, 51004, 50899, 63882, 51159, 50906, 51157, 51085, 51496, 53812, 51012, 53198, 50928, 79321, 52502, 50870, 53191, 56209, 66231, 52694, 51004, 50899, 64611, 66044, 77704, 51541, 50871, 51362, 50906, 51091, 52564, 51013, 50447, 51236, 52703, 50982, 51899, 51187, 56128, 52532, 50891, 52206, 75025, 64611, 64066, 64225, 51799, 51754, 68637, 54741, 52373, 50928, 51247, 69266, 51051, 72301, 76075, 55678, 52392, 53341, 51004, 52206, 50800, 79970, 52245, 50863, 50900, 51267, 50916, 71004, 51159, 51247, 70002, 51364, 78338, 50877, 51310, 50916, 52500, 50900, 51359, 52399, 52300, 51258, 55618, 51258, 51694, 51406, 52543, 76962, 73665, 61976, 53961, 68637, 56803, 52755, 75821, 51073, 50916, 70148, 51048, 51247, 69020, 51343, 50916, 51591, 53198, 51258, 51658, 51392, 52245, 53162, 66231, 73853, 50900, 60898, 67089, 68699, 51351, 50447, 51236, 52532, 51129, 51899, 51239, 54763, 52703, 50835, 51799, 77738, 61650, 53131, 50313, 53131, 50313, 51215, 54706, 50828, 51841, 54353, 71226, 54119, 54741, 52790, 51258, 51247, 60692, 51142, 50916, 51142, 61048, 53341, 50908, 51755, 51392, 53078, 63279, 74998, 53131, 50313, 52415, 50282, 51343, 50861, 51189, 50916, 51605, 50877, 53435, 50899, 51445, 52399, 52300, 50982, 50899, 64716, 68506, 65792, 51003, 55618, 50928, 51694, 51187 ]
[ 0, 250, 765, 15855, 8, 5175, 2125, 14, 7630, 6568, 10, 2933, 8, 5679, 26709, 6711, 6, 10686, 13, 822, 50, 177, 2369, 36546, 4, 85, 1575, 10, 20535, 8, 5627, 9428, 12547, 17402, 9, 326, 5638, 18026, 6, 17465, 102, 6, 1076, 560, 31365, 25999, 6, 32909, 6, 8, 17691, 28430, 4, 20, 2214, 16, 11, 381, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23667, 27841, 139, 20889, 9, 29021, 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 ]	[ 50799, 50642, 50816, 72335, 52765, 50816, 51628, 50816, 51724, 50816, 71324, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 56703, 72335, 52765, 50816, 51628, 50816, 51724, 50816, 71324, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 63355, 50807, 52384, 50807, 79116, 53942, 66692, 51620, 77400, 52384, 50807, 51866, 53030, 52765, 50816, 51628, 50816, 51724, 74261, 51702, 50807, 52148, 50807, 54552, 66692, 51757, 51744, 50807, 79116, 53084, 53030, 50800, 63355, 50807, 52384, 50807, 79116, 53942, 66692, 51835, 50816, 51620, 51744, 50807, 79116, 53084, 53030, 51628, 50816, 51724, 74261, 51702, 50807, 52148, 50807, 54552, 53030, 51757, 52039, 50807, 52384, 50807, 55216, 53030, 50800, 63355, 50807, 52384, 50807, 79116, 53942, 66692, 51835, 50816, 51620, 77400, 52384, 50807, 51866, 53030, 51628, 50816, 51724, 74261, 51702, 50807, 52148, 50807, 54552, 66692, 51757, 51744, 50807, 51702, 50807, 52148, 53030, 50800, 63355, 50918, 52384, 50918, 52148, 50918, 55679, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 52298, 50807, 51702, 50807, 79116, 54552, 66692, 51757, 52039, 50807, 79116, 53084, 53030, 50800, 63355, 50807, 52384, 50807, 79116, 55184, 66692, 51835, 50816, 51620, 77400, 52384, 50807, 51866, 53030, 51628, 50816, 51724, 74261, 79116, 53084, 50807, 61438, 66692, 51757, 51744, 50807, 79116, 52178, 53030, 50800, 64996, 50807, 52058, 50807, 52148, 50807, 55679, 66692, 51835, 50816, 51620, 51744, 50807, 52148, 50807, 54006, 53030, 51628, 50816, 51724, 51485, 50983, 51702, 50983, 52488, 50983, 53994, 66692, 71324, 52809, 50816, 51754, 51431, 50795, 52698, 50795, 52148, 52108, 52567, 50816, 50800, 50799, 52298, 50807, 79116, 54552, 66692, 51620, 52039, 50807, 52058, 53030, 51628, 50816, 51724, 51898, 50807, 52058, 50807, 54885, 53030, 51820, 50816, 51757, 52298, 50807, 51702, 50807, 79116, 54552, 53030, 51754, 50816, 50800, 63355, 50918, 52384, 50918, 51866, 50918, 53942, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 51431, 50918, 52384, 50918, 51866, 50918, 53942, 66692, 71324, 50800, 50799, 51898, 50983, 51702, 50983, 53994, 66692, 72335, 52765, 50816, 51628, 52298, 50795, 51866, 52108, 51724, 51898, 50807, 51702, 50807, 53942, 66692, 51757, 52039, 50807, 52384, 53030, 50800, 50799, 51898, 50807, 51702, 50807, 53994, 66692, 51835, 50816, 51620, 52298, 50807, 51866, 53030, 51628, 50816, 51724, 51431, 50918, 52148, 50918, 53942, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 75315, 50983, 52384, 50983, 54552, 66692, 72335, 51628, 51898, 50795, 51702, 52108, 51724, 52039, 50807, 52384, 50807, 53942, 66692, 51820, 50816, 51757, 52334, 50807, 52058, 53030, 51754, 50816, 50800, 50799, 53808, 50918, 51947, 50918, 54552, 66692, 51835, 50816, 72335, 51628, 50816, 51724, 52039, 50918, 52384, 50918, 55216, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 51898, 50983, 51702, 50983, 53994, 66692, 72335, 52765, 50816, 51628, 52298, 50795, 51866, 52108, 51724, 51898, 50807, 51702, 50807, 53942, 66692, 51757, 52039, 50807, 52384, 53030, 50800, 50799, 51898, 50807, 51702, 50807, 55184, 53030, 51835, 50816, 51620, 52298, 50807, 79116, 61438, 53030, 51628, 50816, 51724, 51431, 50983, 52148, 50983, 55679, 53030, 51757, 54552, 53030, 52809, 50816, 51754, 51898, 50795, 51702, 52108, 52567, 50816, 50800, 75315, 50807, 52384, 50807, 53942, 66692, 51620, 77400, 52384, 53030, 51628, 50816, 51724, 52298, 50807, 52058, 50807, 54552, 53030, 51820, 50816, 51757, 74261, 51702, 50807, 55216, 53030, 51754, 50816, 50800, 63355, 50918, 52384, 50918, 53942, 66692, 51835, 50816, 72335, 51628, 50816, 51724, 51431, 50918, 52384, 50918, 53942, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 52384, 50807, 51652, 53030, 51620, 52384, 50807, 51643, 53030, 51628, 50816, 51724, 52058, 50807, 52135, 53030, 51820, 50816, 51757, 51702, 50807, 51633, 53030, 51754, 50816, 50800, 50799, 52384, 50918, 51643, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 52384, 50918, 51643, 66692, 71324, 50800, 50799, 52384, 50807, 79116, 53942, 50918, 51784, 53030, 51620, 52384, 50807, 79116, 51784, 53030, 52765, 50816, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54552, 50918, 51900, 53030, 51757, 79116, 53084, 50807, 52285, 53030, 50800, 50799, 52384, 50807, 79116, 53942, 50918, 51784, 53030, 51835, 50816, 51620, 79116, 53084, 50807, 52285, 53030, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54552, 50807, 51900, 53030, 51757, 52384, 50807, 55216, 50807, 52278, 53030, 50800, 50799, 52384, 50807, 79116, 53942, 50918, 51784, 53030, 51835, 50816, 51620, 52384, 50807, 79116, 51784, 53030, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54552, 50918, 51900, 53030, 51757, 51702, 50807, 52148, 50807, 52285, 53030, 50800, 50799, 52384, 50918, 52148, 50918, 55679, 50918, 51784, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 51702, 50807, 79116, 54552, 50918, 52824, 53030, 51757, 79116, 53084, 50807, 52278, 53030, 50800, 50799, 52384, 50807, 79116, 55184, 50918, 51784, 53030, 51835, 50816, 51620, 52384, 50807, 79116, 51784, 53030, 51628, 50816, 51724, 79116, 53084, 50807, 61438, 50918, 51900, 53030, 51757, 79116, 52178, 50807, 52285, 53030, 50800, 50799, 52058, 50807, 52148, 50807, 55679, 50918, 51802, 53030, 51835, 50816, 51620, 52148, 50807, 54006, 50807, 52285, 53030, 51628, 50816, 51724, 51702, 50983, 52488, 50983, 53994, 50918, 51900, 72750, 71324, 52809, 50816, 51754, 52698, 50795, 52148, 50795, 51784, 52108, 52567, 50816, 50800, 50799, 51702, 50807, 53084, 50807, 54552, 50918, 52824, 53030, 51620, 51702, 50807, 53084, 50807, 52278, 53030, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54885, 50807, 52355, 53030, 51820, 50816, 51757, 51702, 50807, 79116, 54552, 50807, 52824, 53030, 51754, 50816, 50800, 50799, 52384, 50918, 51866, 50918, 53942, 50918, 51784, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 52384, 50918, 51866, 50918, 53942, 50918, 51784, 66692, 71324, 50800, 50799, 51702, 50983, 53994, 50918, 52355, 72750, 72335, 52765, 50816, 51628, 51866, 50795, 52824, 52108, 51724, 51702, 50807, 53942, 50918, 52355, 53030, 51757, 52384, 50807, 52278, 53030, 50800, 50799, 51702, 50807, 53994, 50918, 52355, 53030, 51835, 50816, 51620, 79116, 52824, 53030, 51628, 50816, 51724, 52148, 50918, 53942, 50918, 51784, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 52384, 50983, 54552, 50918, 52278, 72750, 72335, 51628, 51702, 50795, 52355, 52108, 51724, 52384, 50807, 53942, 50918, 52278, 53030, 51820, 50816, 51757, 52058, 50807, 52714, 53030, 51754, 50816, 50800, 50799, 51947, 50918, 54552, 50918, 54246, 66692, 51835, 50816, 72335, 51628, 50816, 51724, 52384, 50918, 55216, 50918, 52278, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 51702, 50983, 53994, 50918, 52355, 72750, 72335, 52765, 50816, 51628, 51866, 50795, 52824, 52108, 51724, 51702, 50807, 53942, 50918, 52355, 53030, 51757, 52384, 50807, 52278, 53030, 50800, 50799, 51702, 50807, 55184, 50807, 52355, 53030, 51835, 50816, 51620, 79116, 61438, 50807, 52824, 53030, 51628, 50816, 51724, 52148, 50983, 55679 ]
[ 0, 250, 2635, 6, 5679, 26709, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 20, 13305, 8, 6755, 12547, 310, 5, 1049, 34879, 6, 7513, 30, 38668, 18569, 8, 10, 20535, 483, 4, 23973, 11, 274, 538, 8, 155, 73, 306, 86, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 274, 6, 1918, 6, 274, 6, 1918, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50620, 53038, 50806, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 53038, 50806, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51435, 50806, 55796, 50893, 52133, 57816, 51876, 50806, 51578, 50806, 57756, 50893, 54720, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50806, 66789, 50893, 52133, 57816, 51876, 50806, 51948, 50806, 59601, 50893, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50896, 66789, 51016, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 52746, 50806, 51516, 51585, 56336, 51941, 57166, 50923, 59297, 51677, 50420, 51706, 50806, 53181, 57078, 51561, 50806, 52402, 57067, 51144, 50806, 51743, 58395, 75916, 51615, 57816, 51561, 50806, 52402, 50923, 51034, 54733, 50806, 51516, 50896, 56336, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 51639, 50896, 56679, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51153, 50896, 53465, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 53038, 50806, 51435, 51585, 55796, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 53038, 50806, 51275, 51196, 53679, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51435, 50806, 55796, 50893, 52133, 57816, 51876, 50806, 51578, 50806, 57756, 50893, 54720, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50806, 66789, 50893, 52133, 57816, 51876, 50806, 51948, 50806, 59601, 50893, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50896, 66789, 51016, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 52746, 50806, 51516, 51585, 56336, 51941, 57166, 50923, 59297, 51677, 50420, 51706, 50806, 53181, 57078, 51561, 50806, 52402, 57067, 51144, 50806, 51743, 58395, 75916, 51615, 57816, 51561, 50806, 52402, 50923, 51034, 54733, 50806, 51516, 50896, 56336, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 51639, 50896, 56679, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51153, 50896, 53465, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 53038, 50806, 51435, 51585, 55796, 51941, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 53038, 50806, 51275, 51585, 53679, 51941, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 51869, 50806, 51275, 51196, 51516, 51196, 51948, 51196, 53679, 51356, 56336, 51356, 59601, 51356, 53817, 50923, 59042, 51677, 50420, 71671, 51881, 57078, 75916, 51615, 57067, 51119, 50806, 51656, 58395, 51308, 50806, 51275, 50806, 51516, 50806, 51948, 50806, 53679, 50893, 56336, 50893, 59601, 50893, 51863, 57816, 75916, 51837, 50806, 66789, 50893, 51615, 50923, 51034, 52176, 50806, 51275, 51196, 51435, 51196, 51578, 51196, 53679, 51356, 55796, 51356, 57756, 51356, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51435, 50896, 55796, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 54733, 50806, 51948, 50896, 51153, 51585, 51639, 51585, 53465, 51941, 56679, 51941, 59601, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 52381, 50896, 64012, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51516, 50896, 56336, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 53038, 50806, 51308, 51585, 51275, 51585, 51435, 51585, 53361, 51941, 53679, 51941, 55796, 51941, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51706, 50806, 53181, 57067, 51280, 50806, 52133, 58395, 71671, 51881, 57816, 51706, 50806, 53181, 50923, 51034, 51869, 50806, 51275, 51196, 51516, 51196, 51948, 51196, 53679, 51356, 56336, 51356, 59601, 51356, 53817, 50923, 59042, 51677, 50420, 71671, 51881, 57078, 75916, 51615, 57067, 51119, 50806, 51656, 58395, 51308, 50806, 51275, 50806, 51516, 50806, 51948, 50806, 53679, 50893, 56336, 50893, 59601, 50893, 51863, 57816, 75916, 51837, 50806, 66789, 50893, 51615, 50923, 51034, 52176, 50806, 51275, 51196, 51435, 51196, 51578, 51196, 53679, 51356, 55796, 51356, 57756, 51356, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51435, 50896, 55796, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 54733, 50806, 51948, 50896, 51153, 51585, 51639, 51585, 53465, 51941, 56679, 51941, 59601, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 52381, 50896, 64012, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51516, 50896, 56336, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 56686, 50806, 52381, 50896, 51308, 51196, 51777, 51196, 53361, 51356, 55340, 51356, 64012, 51016, 73405, 50923, 57832, 51677, 50420, 53646, 50806, 60515, 57078, 53483, 50806, 52070, 50896, 59255, 51016, 57633, 57067, 51706, 50806, 53181, 58395, 51847, 50806, 51435, 50896, 55796, 51016, 53100, 57816, 51706, 50806, 53181, 50923, 51034, 52785, 50806, 51119, 51585, 51153, 51585, 51435, 51585, 52684, 51941, 53465, 51941, 55796 ]
[ 0, 250, 19448, 5175, 19834, 4246, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 6755, 12547, 6, 8, 30587, 29589, 4, 20, 2214, 16, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 1510, 741, 1685, 4, 20, 15352, 30054, 15229, 7630, 6568, 10, 5679, 26709, 8, 1619, 12, 3341, 5466, 6, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 53028, 75011, 50841, 51570, 56866, 52371, 50908, 50440, 52371, 57502, 52371, 61118, 52371, 63938, 52371, 53027, 52371, 50825, 73683, 51448, 50770, 50326, 51562, 50445, 52371, 59279, 52371, 54368, 52371, 61082, 52371, 56038, 52371, 53068, 52371, 59325, 60131, 50839, 61534, 58517, 52371, 50828, 64091, 64125, 52371, 50846, 55228, 54363, 52371, 50818, 55039, 57297, 52371, 50884, 57215, 50828, 56837, 57583, 52371, 50884, 53472, 50829, 53748, 52579, 52371, 50895, 55052, 50834, 52650, 59036, 52371, 50883, 52890, 50834, 54029, 59552, 52371, 50961, 54361, 50829, 52697, 54991, 52371, 50949, 53260, 59933, 52371, 51031, 54895, 50834, 53039, 57335, 52371, 50817, 53436, 50829, 52288, 51585, 52371, 50817, 51600, 51592, 51384, 51353, 55831, 52282, 57041, 51585, 53956, 68801, 51294, 51206, 59260, 50809, 55554, 50835, 54723, 53223, 66453, 50880, 51622, 50893, 51478, 55341, 68446, 50840, 52294, 50917, 51770, 56504, 50749, 50346, 50890, 53964, 50879, 52400, 55122, 66453, 78425, 50983, 51478, 50983, 50446, 70164, 51242, 50447, 60131, 51328, 50448, 55228, 50892, 50449, 57215, 53562, 51228, 51016, 51266, 50943, 61155, 51345, 57041, 51112, 53956, 51157, 52615, 51104, 75957, 53110, 50841, 53472, 50987, 54798, 51941, 52371, 50817, 51600, 51353, 51384, 51353, 55831, 51714, 57041, 51945, 53956, 52069, 51728, 51225, 56717, 53110, 52981, 66453, 50880, 63013, 51478, 52247, 68446, 50890, 52294, 50865, 51770, 54725, 50749, 50346, 50890, 52294, 50828, 53964, 50917, 51770, 50828, 52400, 56282, 66453, 50890, 51622, 51141, 51478, 72758, 51289, 50835, 73683, 51448, 50770, 50326, 51562, 50447, 51289, 54411, 51069, 51016, 51728, 51104, 69628, 52995, 50828, 52563, 51469, 52405, 51177, 51558, 51939, 51182, 51151, 50749, 50346, 50880, 55831, 52069, 54240, 51307, 55837, 51264, 53964, 50806, 52400, 52090, 54984, 58888, 53110, 53576, 51733, 50955, 68446, 50836, 52294, 50925, 51770, 57499, 51733, 51121, 68446, 50887, 52294, 50893, 51770, 55214, 51384, 50942, 66453, 50859, 51622, 50938, 51478, 57581, 51384, 50914, 66453, 50821, 51622, 51056, 51478, 70147, 51558, 51162, 69492, 50890, 51854, 50893, 51746, 55764, 51384, 50849, 66453, 50887, 51622, 50910, 51478, 50910, 53400, 51183, 52405, 50865, 51284, 51677, 50749, 50346, 50880, 55831, 51115, 54240, 51189, 55837, 51218, 52294, 50828, 53964, 50879, 51770, 50828, 52400, 50879, 51206, 53223, 51733, 50878, 68446, 50809, 52294, 50937, 51770, 57817, 51733, 50849, 68446, 50880, 79228, 51770, 51736, 51384, 50833, 66453, 50890, 51622, 74498, 53402, 51011, 51447, 51384, 50943, 66453, 50880, 61155, 53478, 53956, 53413, 51622, 50889, 51478, 57038, 65004, 64852, 50440, 50856, 57502, 50856, 68937, 50856, 53384, 50856, 59892, 70291, 56576, 55721, 50856, 63612, 50856, 57855, 50856, 52846, 51733, 51449, 68446, 50839, 52294, 51359, 51770, 51359, 50856, 69232, 50856, 69909, 50856, 58207, 50856, 62476, 50856, 63543, 50856, 54038, 50856, 62662, 64852, 54820, 56013, 64852, 50460, 50856, 59119, 70291, 50796, 50447, 52172, 52116, 53625, 50975, 50459, 55626, 50811, 71862, 51790, 51944, 51116, 51440, 51221, 53625, 50802, 50749, 50346, 51174, 50960, 52519, 50420, 51614, 50874, 52833, 50824, 66453, 50978, 50947, 65933, 51944, 51124, 51440, 51178, 50749, 50346, 51254, 51788, 53486, 50432, 51614, 50864, 66453, 50977, 50947, 71552, 51944, 51060, 51440, 50873, 50749, 50346, 50838, 50960, 62523, 51614, 50837, 52833, 50817, 66453, 50878, 50947, 52460, 50447, 52833, 52768, 56922, 51110, 51660, 51100, 51440, 51233, 53625, 50993, 50749, 50346, 51254, 51317, 52063, 50456, 52435, 50864, 71023, 51123, 50947, 61736, 53979, 50817, 50799, 58748, 51790, 51944, 51178, 51440, 51337, 52833, 50824, 50749, 50346, 51174, 51311, 52519, 50420, 51614, 50912, 66453, 50937, 51078, 65933, 51944, 51121, 51440, 51121, 50749, 50346, 50905, 51067, 52916, 50432, 51614, 50874, 66453, 50938, 51078, 58087, 51944, 51100, 51440, 50849, 50749, 50346, 50974, 51311, 62523, 51614, 50844, 66453, 51210, 51078, 52482, 50450, 56090, 51194, 51944, 50795, 51440, 50924, 55499, 50993, 50749, 50346, 51174, 51131, 62524, 51614, 50886, 66453, 50955, 51078, 62065, 61778, 50817, 50799, 57848, 51419, 51434, 51238, 51808, 51173, 61778, 50811, 50749, 50351, 51166, 51207, 52519, 50417, 55499, 52244, 51614, 50827, 53610, 51300, 66453, 50977, 51311, 65933, 51434, 51100, 51808, 50938, 50749, 50351, 50849, 50960, 52441, 50432, 51614, 50834, 66453, 51006, 51311, 52482, 50438, 50656, 50284, 51448, 51660, 50808, 51434, 51095, 51808, 50976, 50749, 50351, 50805, 51574, 52519, 50444, 51660, 50912, 53610, 50803, 66453, 51058, 50960, 51470, 50448, 55626, 52768, 51660, 50812, 51434, 50805, 51440, 50849, 51808, 50805, 50749, 50349, 50866, 50929, 52407, 50451, 53610, 52884, 51660, 50837, 55499, 50803, 66453, 51254, 50960, 52482, 50799, 56090, 51742, 51660, 51203, 51440, 51534, 68446, 51166, 51131, 52519, 50415, 53625, 57214, 52435, 50874, 71023, 50978, 51317, 65933, 51660, 51043, 51440, 51423, 68446, 51079, 50998, 53486, 50432, 52435, 50844, 71023, 50845, 51317, 51703, 50438, 51660, 50879, 51440, 50987, 68446, 51470, 51131, 52407, 50444, 52435, 50825, 71023, 61554, 51660, 50834, 52172, 52768, 56922, 50980, 51660, 50980, 51440, 51345, 51213, 51016, 53625, 50975, 68446, 51470, 58230, 51219, 51013, 51288, 51241, 78391, 52435, 50844, 71023, 56707, 57661, 55626, 50817, 71862, 51790, 51944, 51116, 51440, 51221, 50927, 51241, 51491, 51677, 51107, 51293, 55626, 50811, 50749, 50346, 72494, 74120, 50884, 50960, 52460, 50417, 55626, 61993, 53625, 53213, 51614, 50874, 66453, 50978, 50947, 70145, 52833, 51300, 50426, 51944, 51124, 51440, 51178, 50749, 50346, 51254, 58246, 50908, 51788, 52441, 50432, 51614, 50864, 50927, 50841, 66453, 61221, 52223, 50884, 50947, 56006, 51944, 51060, 51440, 50873, 67361, 50749, 50346, 53656, 51864, 50890, 50960, 57043, 51614, 50837, 66453, 50878, 51983, 50947, 51365, 50446, 52833, 52568, 56922, 51110, 51660, 51100, 51440, 51233, 51228, 50889, 51301, 50914, 53625, 50975, 50749, 50346, 51254, 58246, 50840, 51317, 51365, 50456, 52435, 50864, 71023, 59251, 51128, 50947, 56047, 53979, 50811, 50799, 58748, 51790, 51944, 51178, 51440, 51337, 51205, 51091, 51491, 51359, 51107, 52121, 52833, 51029, 50749, 50346, 72494, 52207, 50855, 51311, 52482, 50420, 51614, 50912, 66453, 50937, 52622, 51078, 56323, 51944, 51121, 51440, 51121, 50749, 50346, 50905, 62418, 50834, 51067, 52519, 50432, 51614, 50874, 51205, 50836, 66453, 60075, 51750, 50890, 51078, 56006, 51944, 51100, 51440, 50849, 51205, 51048, 50749, 50346, 57685, 52207, 50890, 51311, 57043, 51614, 50844, 66453, 51210, 51842, 51078, 71940, 56090, 51194, 51944, 50795, 51440, 50924, 51069, 51159, 55499, 50811, 50749, 50346, 51174, 62418, 50890, 51131, 50984, 50454, 55499, 52163, 51614, 50886, 66453, 50955, 53842, 51078, 61736, 61778, 50817, 50799, 57848, 51419, 51434, 51238, 51808, 51173, 51443, 51103, 74973, 61778, 50817, 50749, 50351, 51166, 62113, 50836, 51207, 52048, 50417, 61778, 61792, 55499, 53213, 51614, 50827, 53610, 51300, 66453, 50977, 51983, 51311, 55070, 51434, 51100, 51808, 50938, 50749, 50351, 50849, 58246, 50825, 50960, 52482, 50432, 51614, 50834, 66453, 62285, 51833, 50890, 51311, 69406, 50656, 50284, 51448, 51660, 50808, 51434, 51095, 51808, 50976 ]
[ 0, 250, 2635, 12, 20764, 3495, 1011, 625, 19, 10, 2842, 9, 3152, 6, 42, 657, 2214, 16, 278, 11, 5, 762, 9, 83, 538, 8, 1575, 10, 204, 73, 306, 86, 6543, 4, 20, 13305, 8, 6755, 12547, 185, 5, 483, 6, 7513, 30, 21979, 9590, 6, 3459, 8669, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 1144, 26016, 5466, 4, 20, 33215, 16739, 25935, 1626, 227, 211, 8, 83, 1328, 5, 2125, 6, 1271, 7, 63, 32693, 16426, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50416, 51026, 51101, 50899, 51111, 50877, 50811, 50902, 51072, 54928, 50417, 50973, 50917, 50422, 50877, 71355, 50861, 52675, 50972, 50434, 51120, 51397, 51027, 51417, 50916, 62125, 51446, 50435, 50989, 51477, 50440, 56644, 50452, 54928, 51809, 51026, 51215, 50899, 51505, 50877, 50811, 50902, 51072, 54928, 50418, 50973, 51138, 50422, 50877, 63022, 50861, 51239, 50972, 50434, 51120, 51318, 51027, 51218, 50916, 53819, 50313, 50983, 50435, 50989, 51115, 50440, 56644, 50452, 52066, 51809, 51085, 51932, 51026, 50993, 50899, 75892, 51072, 54928, 50418, 50916, 50978, 63715, 63022, 50900, 51179, 50972, 50434, 51214, 52512, 51120, 51356, 51027, 67587, 51029, 50436, 51086, 51112, 50440, 56644, 50446, 51027, 50911, 50452, 51026, 51060, 54928, 50459, 51279, 52282, 50460, 51120, 51675, 59130, 51896, 50415, 51027, 51896, 50416, 50899, 77229, 51174, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 51026, 52059, 50899, 51797, 50877, 77360, 51162, 54928, 50417, 50973, 50978, 50422, 50877, 51058, 50428, 50861, 52348, 50972, 50433, 51027, 54557, 50916, 59992, 51120, 54532, 50877, 51397, 50435, 50989, 51318, 50440, 56644, 50452, 54928, 51601, 51026, 51043, 50899, 51110, 50877, 59926, 51056, 50416, 54928, 50417, 50973, 74506, 50877, 50901, 50428, 50861, 53340, 50972, 50433, 51120, 51397, 51027, 51295, 50916, 61768, 51446, 50435, 50989, 51283, 50440, 56644, 50452, 54928, 51601, 50899, 61508, 51253, 50416, 51085, 51177, 51026, 53021, 51051, 50417, 50916, 51142, 63715, 51432, 50428, 50900, 51464, 51481, 50434, 51214, 51295, 51120, 51965, 51027, 74336, 51189, 50435, 51086, 51267, 50440, 56644, 50446, 51027, 80051, 51026, 64732, 54928, 51601, 51176, 50828, 51040, 51422, 50416, 51966, 52140, 51360, 53866, 50997, 51627, 54928, 50428, 56644, 50435, 51176, 52192, 50440, 51378, 51852, 56644, 50452, 54928, 51809, 50989, 56599, 51324, 52062, 51378, 52335, 51086, 51714, 50973, 52062, 50791, 51174, 50428, 56644, 50440, 51279, 51496, 51027, 51295, 50916, 72317, 51212, 51028, 51212, 56644, 50452, 77925, 50877, 51212, 51028, 53021, 75574, 50916, 50908, 51809, 51026, 51542, 69308, 68062, 50973, 62806, 51174, 63715, 52794, 50428, 50899, 62614, 52014, 50315, 53538, 50972, 50434, 50916, 58855, 51120, 51047, 51027, 51562, 50899, 62159, 51157, 50877, 51227, 50440, 56644, 64118, 62849, 50899, 53096, 50452, 50916, 67536, 51331, 75635, 50989, 57459, 50877, 50895, 51809, 51027, 51745, 50916, 77439, 51158, 51028, 52201, 51174, 50422, 64385, 50428, 50916, 61768, 52035, 50317, 52715, 50972, 50440, 51027, 51419, 50899, 69538, 51095, 50973, 51110, 56644, 64118, 52134, 50452, 50899, 50812, 66088, 50973, 51158, 52066, 50458, 50916, 57498, 51120, 51742, 51027, 51675, 50899, 51036, 50989, 51264, 50877, 51696, 51809, 50791, 51174, 50428, 56644, 50440, 56644, 50452, 51120, 51079, 54928, 50458, 51360, 50892, 51809, 51324, 73641, 73446, 51423, 50973, 60596, 51174, 50428, 50899, 62838, 58654, 53960, 50972, 50440, 51027, 51241, 50916, 51173, 50877, 51158, 51028, 51100, 56644, 50452, 50916, 51121, 50877, 72454, 51173, 54928, 50458, 51027, 50863, 51809, 51026, 51218, 50899, 71644, 51286, 50973, 62201, 51174, 63715, 79499, 69505, 50861, 64535, 51194, 56644, 50434, 50916, 59921, 51120, 51749, 51027, 51448, 50899, 51095, 50989, 51413, 50877, 51291, 50902, 51413, 50440, 56644, 50449, 50899, 55177, 50452, 54928, 51809, 51279, 51364, 51027, 51204, 74656, 50877, 51286, 51028, 59218, 51174, 50422, 50916, 51129, 50428, 50916, 56036, 72454, 55043, 50972, 50434, 51027, 50928, 50440, 51279, 51362, 51027, 51233, 60509, 50861, 51215, 50973, 51095, 56644, 64118, 51258, 50452, 74654, 50861, 52434, 50315, 52201, 75574, 50916, 56842, 51120, 51714, 51027, 52071, 50899, 51605, 50989, 51945, 50877, 51894, 50902, 52392, 51809, 54928, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 51120, 51212, 50899, 51212, 50916, 56135, 53194, 50315, 51012, 51389, 51009, 54928, 50425, 51120, 51199, 50899, 74471, 75842, 51157, 50973, 51112, 50428, 56644, 50440, 51120, 51878, 51027, 51218, 50899, 68036, 61817, 63402, 51364, 51389, 51413, 56644, 50452, 50899, 74924, 50976, 50877, 50976, 52066, 51809, 51120, 51242, 50916, 51111, 50861, 51158, 50973, 51158, 51389, 51116, 54928, 50425, 51026, 51267, 50899, 57631, 66154, 51013, 52078, 51241, 50428, 56644, 50437, 51214, 50808, 50440, 51120, 51446, 50899, 74972, 51290, 50877, 51566, 51389, 51446, 56644, 50452, 51027, 53693, 50306, 50827, 50989, 54848, 50877, 51412, 54928, 50458, 50899, 58449, 51027, 50837, 51809, 51120, 51562, 50916, 54828, 60452, 50911, 51389, 77580, 51174, 50425, 50916, 65022, 51290, 50973, 51290, 50428, 56644, 50440, 51120, 51310, 50899, 68036, 57543, 64424, 51364, 51389, 51413, 56644, 50452, 50899, 70716, 51505, 50877, 51158, 52066, 50458, 50899, 61969, 51120, 50891, 51809, 51120, 51008, 70489, 76326, 50973, 50948, 51389, 51423, 50791, 51174, 50425, 51026, 53295, 50899, 54834, 50861, 54834, 50973, 54834, 52078, 51353, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 50791, 51174, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 50791, 51174, 50428, 56644, 50439, 51357, 63510, 51488, 65354, 51600, 59519, 50440, 51966, 51295, 51378, 51364, 50989, 50897, 50973, 52370, 50317, 53275, 50322, 51030, 53262, 51009, 56644, 50443, 53076, 79295, 51924, 51221, 50449, 51590, 50844, 50452, 51547, 50854, 50973, 50976, 51028, 53936, 50322, 51012, 52066, 50455, 51590, 57459, 51674, 51121, 50989, 51306, 51809, 51547, 51110, 51165, 61307, 51378, 52297, 50310, 69862, 50976, 51028, 51101, 51114, 50865, 53262, 77229, 51174, 50422, 50989, 67726, 51674, 50914, 50428, 50989, 62406, 67797, 52201, 50972, 50431, 51378, 53106, 50434, 50989, 51258, 50439, 51107, 65825, 51357, 59519, 50440, 51086, 51894, 50899, 50952, 50989, 51158, 50973, 50893, 51668, 51009, 56644, 50446, 51390, 69584, 65589, 51924, 50893, 50452, 50899, 79619, 50976, 50973, 51331, 51051, 50455, 51390, 63105, 51924, 50808, 51266, 60150, 50899, 50904, 51809, 51924, 50893, 51600, 60667, 50306, 51033, 50989, 50975, 50973, 50976, 55781, 51300, 54928, 50422, 51390, 62649, 52134, 50428, 51107, 65278, 50899, 78747, 64726, 50974, 51248, 50396, 50434, 50899, 56305, 51668, 65833, 51266, 58306, 50440, 51113, 53678, 51027, 51661, 50916, 63217, 57129, 50860, 53240, 51300, 56644, 50446, 51209, 51127, 50916, 51000, 50452, 50916, 65181, 50976, 50902, 54589, 51051, 50457, 51284, 51737, 51930, 66460, 50916, 50836, 51984, 51045, 51601, 51488, 53055, 50416, 51279, 51029, 51027, 51029, 50916, 50882, 68165, 51028, 50976, 51216, 57838, 51174, 50422, 63077, 50425, 51209, 50943, 50428, 50916, 75556, 50976, 51028, 54589, 50972, 50434, 50916, 57927, 51107, 58306, 51600, 58306, 50440, 51120, 51894, 51027, 51264, 50899, 62119, 51505, 50877, 60446, 76574, 51795, 56644, 50446, 51322, 65758, 50974, 50452, 51366, 58548, 51004, 50989, 65274, 70105, 51138, 54928, 50458, 51322, 61566, 51328, 51809, 51366, 51141, 51883, 62119, 51286, 50877, 50976, 50902, 66363, 51174, 50419, 53148, 59236, 51699, 58026, 50899, 50805, 50424, 51883, 56998, 51887, 51010, 50428, 53148, 62119, 51483, 68165, 50902, 55188, 50972, 50430, 52830, 59009, 52371, 56861, 51322, 50942, 50899, 50817, 51389, 62657, 52830, 61109, 51984, 57149, 53148, 53055, 51357, 52011, 50440, 51378, 50983, 50989 ]
[ 0, 250, 765, 37903, 9, 41, 20425, 5175, 1349, 4246, 10, 11739, 9, 21072, 6, 2020, 3548, 6, 31391, 1672, 9590, 6, 38668, 9590, 6, 8, 5730, 2342, 4467, 6, 2351, 10, 15352, 30054, 8, 3366, 219, 5466, 19, 10, 11602, 9, 11299, 27456, 6, 278, 11, 10, 1769, 20889, 8, 163, 3694, 762, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51181, 50869, 50563, 55047, 51044, 71179, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 55280, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 55280, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 55280, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 52572, 71746, 50818, 54519, 50359, 50963, 52432, 52505, 66797, 54518, 50359, 50958, 53423, 54140, 54835, 59075, 52437, 51181, 50869, 50563, 55047, 52572, 59075, 54013, 50804, 73802, 52209, 52505, 66797, 54518, 50361, 50958, 53593, 51525, 50376, 56900, 54835, 65160, 52565, 51181, 50869, 50563, 55047, 52572, 65160, 50818, 53012, 75792, 52210, 52505, 66797, 54518, 79348, 53641, 54140, 54835, 56402, 52396, 51181, 50869, 50563, 55047, 52572, 56402, 50818, 53061, 64972, 52349, 52505, 66797, 54518, 68255, 53902, 54580, 50379, 61440, 54835, 54412, 50818, 53447, 50869, 50563, 55047, 52572, 54412, 50818, 54519, 62652, 52432, 52505, 66797, 54518, 63195, 53423, 54140, 54835, 53796, 52437, 51181, 50869, 50563, 55047, 52572, 53796, 54013, 50804, 58557, 52209, 52505, 66797, 54518, 58820, 53593, 51525, 50376, 56900, 54835, 52748, 52565, 51181, 50869, 50563, 55047, 52572, 52748, 50818, 53012, 59773, 52210, 52505, 66797, 54518, 60642, 53641, 54140, 54835, 52465, 52396, 51181, 50869, 50563, 55047, 52572, 52465, 50818, 53061, 58810, 52349, 52505, 66797, 54518, 56634, 53902, 54580, 50379, 61440, 54835, 52348, 50818, 53447, 50869, 50563, 55047, 52572, 52348, 50818, 54519, 57526, 52432, 52505, 66797, 54518, 55623, 53423, 54140, 54835, 52223, 52437, 51181, 50869, 50563, 55047, 52572, 51916, 54013, 50804, 55630, 52209, 52505, 66797, 54518, 54778, 53593, 51525, 50376, 56900, 54835, 51833, 52565, 51181, 50869, 50563, 55047, 52572, 51833, 50818, 53012, 54640, 52210, 52505, 66797, 54518, 54147, 53641, 54140, 54835, 51750, 52396, 51181, 50869, 50563, 55047, 52572, 51539, 50818, 53061, 53944, 52349, 52505, 66797, 54518, 55033, 53902, 54580, 50379, 61440, 54835, 51464, 50818, 53447, 50869, 50563, 55047, 52572, 51464, 50818, 54519, 53833, 52432, 52505, 66797, 54518, 53270, 53423, 54140, 54835, 51437, 52437, 51181, 50869, 50563, 55047, 52572, 51467, 54013, 50804, 53434, 52209, 52505, 66797, 54518, 54726, 53593, 51525, 50376, 56900, 54835, 51406, 52565, 51181, 50869, 50563, 55047, 52572, 51406, 50818, 53012, 54119, 52210, 52505, 66797, 54518, 53708, 53641, 54140, 54835, 51187, 52396, 51181, 50869, 50563, 55047, 52572, 51239, 50818, 53061, 53473, 52349, 52505, 66797, 54518, 60079, 54124, 53902, 54580, 50379, 61440, 54835, 55280, 50799, 52162, 51128, 51181, 50869, 50563, 55047, 51044, 53837, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 52572, 71746, 53837, 54639, 51997, 52467, 50359 ]
[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 5540, 13305, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 20, 13305, 1974, 10, 13931, 9, 381, 6, 230, 10431, 119, 6, 3676, 401, 6, 8, 274, 10431, 40286, 6, 2351, 10, 19448, 8, 8728, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50415, 61111, 50416, 50877, 52147, 50989, 53577, 50899, 52147, 51040, 53055, 50444, 51787, 50915, 50457, 50899, 56308, 50877, 52147, 50458, 51086, 62609, 50999, 51490, 50989, 52440, 50796, 50445, 50899, 55002, 50989, 55812, 50877, 55812, 50999, 52996, 50446, 51040, 58898, 60212, 50999, 57252, 51814, 50897, 50428, 50989, 53892, 51086, 59821, 50877, 54521, 50899, 52063, 50436, 51487, 51100, 50447, 50989, 56374, 50448, 50956, 54590, 50334, 51116, 50900, 52397, 56020, 51146, 61880, 51430, 51079, 50430, 51146, 51277, 50436, 51086, 65825, 50899, 56458, 51430, 60633, 50916, 54557, 50861, 56563, 50456, 51220, 50874, 51146, 78697, 50951, 54846, 50968, 51199, 56020, 50989, 51490, 51001, 51199, 50423, 51114, 51480, 50956, 52212, 50424, 50900, 61124, 50433, 50876, 56157, 51114, 51051, 50445, 51001, 51022, 51809, 50899, 66813, 68914, 62227, 51086, 53529, 50318, 51312, 50428, 50916, 51961, 51040, 52441, 50877, 52256, 51028, 52256, 50968, 51542, 50461, 50973, 74197, 63271, 61368, 50904, 54206, 64044, 51028, 52598, 50968, 51592, 50430, 50916, 52519, 50877, 53577, 51040, 55812, 59412, 51114, 52524, 50899, 54532, 51040, 57032, 50877, 57032, 50427, 50989, 55002, 50437, 51114, 72688, 51114, 51379, 50455, 50989, 52011, 50456, 51114, 52434, 50303, 55016, 50313, 77014, 51806, 52591, 51114, 71714, 51114, 51277, 50439, 51040, 65825, 50989, 56563, 50899, 54557, 72097, 50877, 56563, 51809, 51146, 51160, 50427, 51220, 51110, 51086, 55765, 50989, 52011, 50428, 50899, 52056, 50877, 52618, 50436, 50999, 51091, 50449, 51114, 76960, 77743, 51601, 50968, 52059, 50416, 50916, 53055, 50861, 53801, 50899, 55812, 51086, 62609, 50434, 50968, 60438, 50968, 50984, 50445, 50968, 51884, 50997, 71133, 50899, 57032, 50861, 59170, 50916, 55812, 60212, 50951, 64942, 51114, 71874, 50968, 61660, 74952, 50433, 50968, 51449, 50435, 50861, 75222, 51086, 60243, 50899, 54590, 50308, 54211, 50460, 50997, 52256, 51040, 51961, 50916, 51679, 50861, 51679, 61627, 50973, 51642, 50440, 51086, 55002, 50861, 54532, 50968, 51177, 50916, 51679, 50899, 51961, 50441, 50951, 71474, 50951, 68169, 50951, 51192, 56020, 76232, 50861, 53126, 50313, 72052, 54590, 50304, 52618, 50423, 51001, 50955, 50951, 50917, 50433, 50951, 51033, 50441, 50951, 52989, 51086, 53577, 50968, 63698, 61418, 79339, 51637, 50861, 55812, 50451, 50899, 54211, 52591, 51146, 67631, 50931, 51689, 50329, 50808, 51040, 54590, 50308, 51806, 50877, 52441, 50444, 51220, 51346, 50456, 50999, 50955, 50460, 76598, 53069, 50989, 52212, 51114, 51484, 50877, 52440, 51040, 53055, 50432, 51028, 77052, 51114, 50978, 78631, 51172, 50877, 51806, 50916, 51480, 50876, 51124, 50968, 51110, 50455, 51114, 51173, 51809, 51114, 61653, 50427, 50989, 52147, 50973, 52407, 51086, 57912, 50956, 52147, 51001, 51961, 50441, 50999, 51576, 52591, 50902, 51832, 50421, 50861, 63667, 50989, 63667, 50899, 61017, 50422, 51220, 50933, 50973, 56123, 50432, 51220, 50977, 50439, 51220, 51051, 67655, 53674, 50973, 54211, 73137, 50968, 57091, 50916, 52618, 50456, 51220, 50987, 51809, 51220, 51008, 77095, 60243, 50956, 54228, 50965, 60243, 50428, 51220, 51252, 50455, 51146, 51312, 52478, 51399, 64523, 50965, 62609, 50916, 54126, 50305, 56308, 50429, 51220, 67810, 50871, 52996, 50439, 50999, 55103, 51147, 73697, 51040, 52598, 50989, 51878, 50999, 51757, 50877, 51878, 50459, 51028, 52098, 50322, 50917, 52591, 51147, 51183, 50430, 51040, 53577, 51028, 51961, 50931, 51961, 50431, 50871, 53280, 50965, 52519, 50452, 51028, 51142, 50454, 50999, 62355, 51147, 50873, 52177, 51040, 51965, 63558, 51028, 75165, 51965, 50877, 51965, 50437, 69649, 50452, 51220, 51534, 50453, 51086, 63546, 50307, 58556, 50310, 52618, 51601, 50999, 51484, 50428, 76893, 50431, 51114, 51254, 50436, 50951, 60633, 50861, 56374, 50916, 53674, 51086, 60243, 50447, 50951, 51134, 50455, 50968, 64801, 50973, 50955, 57923, 51806, 50956, 53674, 50861, 52441, 50900, 54590, 50316, 50943, 50425, 50951, 53505, 50951, 51328, 50440, 51114, 71106, 50951, 51172, 51086, 58898, 50861, 55812, 50899, 54211, 50448, 50916, 53577, 50455, 50973, 50825, 50968, 50886, 51601, 51220, 72417, 50999, 51879, 50305, 52136, 79143, 52407, 50916, 53577, 50433, 50951, 52831, 51114, 50977, 79472, 50981, 50457, 51040, 52440, 50989, 52212, 51114, 50981, 50458, 50906, 52407, 61627, 51028, 72422, 50989, 55812, 51040, 60243, 50906, 56374, 51114, 58862, 50999, 69008, 51220, 51221, 50460, 51399, 51221, 55753, 51086, 63309, 51405, 51619, 50322, 51312, 50422, 50956, 51432, 64551, 52783, 51430, 51177, 50441, 51405, 71274, 52263, 51114, 51376, 50460, 51146, 58449, 51399, 50955, 51601, 51220, 51242, 50422, 68717, 50427, 50951, 61231, 50916, 51703, 51086, 56563, 73866, 52212, 50435, 51114, 51524, 50440, 50951, 52256, 79472, 52063, 50451, 50973, 68987, 66005, 54206, 67278, 54211, 50415, 50916, 52407, 51001, 51258, 50902, 51212, 50422, 50973, 51309, 50428, 50902, 57018, 50968, 51254, 50437, 50916, 61307, 60496, 52440, 51040, 52440, 51028, 51484, 50457, 51028, 51365, 50460, 51220, 51116, 55753, 50999, 50849, 50428, 50951, 51199, 50431, 50999, 51851, 50440, 51114, 52134, 50447, 50968, 53313, 50453, 50989, 54228, 51114, 53280, 51040, 60243, 50454, 50877, 59170, 75695, 50968, 58090, 50877, 55197, 50916, 61450, 50876, 63532, 50900, 61450, 50438, 50951, 51481, 50444, 51114, 51314, 50451, 50989, 52397, 50452, 51001, 51961, 51086, 59170, 50956, 55765, 50973, 52397, 75695, 50973, 51824, 50429, 51086, 57968, 50430, 50968, 64716, 59170, 50916, 77014, 56615, 50431, 50951, 60844, 71819, 50448, 50951, 53702, 50877, 53674, 50861, 53126, 50316, 63271, 70833, 56374, 50460, 50900, 64399, 52591, 50951, 50937, 50428, 50951, 61573, 50951, 53535, 50315, 51123, 57267, 55812, 66005, 51086, 63872, 50916, 53577, 50899, 54228, 50460, 51146, 51255, 56020, 51399, 51109, 50423, 51040, 54344, 50916, 52048, 50877, 52011, 50430, 51220, 51178, 50436, 77757, 50440, 50951, 72688, 50999, 51091, 50989, 51965, 50877, 51965, 50447, 50899, 53280, 59412, 50902, 53529, 50320, 53803, 50989, 53126, 50313, 55036, 50322, 60950, 50899, 55036, 50325, 51043, 50435, 50951, 51095, 50443, 51114, 70143, 51399, 51121, 51114, 51178, 51028, 51277, 50902, 51203, 50899, 59821, 50877, 75670, 51753, 59412, 51220, 50812, 50902, 53548, 51114, 50833, 50973, 50908, 50965, 60895, 51220, 51110, 50951, 51110, 50902, 51177, 50442, 50861, 51679, 50989, 51961, 50973, 51961, 50899, 52519, 50454, 51220, 50936, 51601, 51220, 51158, 50423, 50951, 51346, 50968, 51100, 50861, 51380, 50973, 51806, 50916, 64809, 51220, 50924, 50443, 51220, 75635, 51220, 71834, 50956, 53577, 50900, 57032, 50965, 56374, 61627, 51399, 52256, 50451, 50861, 57232, 50452, 50906, 57232, 50899, 57232, 52591, 51146, 58382, 51430, 53193, 51146, 60465, 51399, 68982, 51146, 58271, 51399, 53137, 51146, 56573, 51399, 50874, 66302, 50851, 50419, 50999, 67829, 50989, 56458, 53337, 63872, 50427, 50877, 59170, 50432, 51114, 52482, 50433, 50902, 51645, 50443, 51114, 75635, 50989, 53055, 51114, 51645, 50456, 51040, 53055, 50906, 53055, 50796, 50433, 50931, 51376, 50437, 51114, 54682, 51220, 51381, 50445, 50877, 61124, 50916, 55002, 50900, 63872, 52591, 51062, 51255, 50430, 50989, 52147, 50956, 52147, 51220, 51159, 50431, 51086, 52440, 50440, 50999, 51124, 50448, 50951 ]
[ 0, 4688, 20425, 5175, 2214, 11, 163, 428, 3694, 6, 4246, 10, 11739, 9, 15352, 30054, 8, 2933, 4785, 4, 590, 10, 20889, 9, 22619, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 2877, 1328, 4, 20, 33215, 16739, 9, 274, 6, 230, 10431, 6, 8, 12608, 3639, 7, 63, 13363, 28191, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50906, 51631, 50931, 51918, 50906, 51798, 50931, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 50931, 51918, 50906, 51798, 50876, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 57126, 51631, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55694, 51631, 50931, 51918, 50906, 51798, 50931, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 50931, 51918, 50906, 51798, 50876, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 57126, 51631, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 51923, 51197, 50795, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 52809, 51050, 51754, 51197, 52567, 63049, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 51923, 51197, 50795, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 52809, 51050, 51754, 51176, 52567, 50997, 50800, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51197, 59123, 54093, 63049, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51176, 59123, 54093, 50997, 50800, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51197, 59123, 54093, 63049, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51176, 59123, 54093, 50997, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 32625, 3495, 2125, 14, 7630, 6568, 6453, 9, 657, 8, 11926, 149, 63, 15352, 30054, 13305, 819, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 8787, 15229, 11498, 10, 7212, 20889, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 33215, 16739, 9, 12608, 406, 73, 534, 6, 2060, 6, 12608, 73, 534, 6, 8, 274, 119, 406, 6, 2351, 10, 19448, 13569, 9862, 14, 115, 2773, 14364, 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 ]	[ 54458, 54578, 53233, 51360, 76297, 50416, 51040, 63667, 50430, 51176, 56123, 50442, 51040, 56869, 50452, 51176, 56123, 51601, 50956, 51671, 50416, 51378, 55275, 50417, 50900, 68886, 50427, 51176, 56123, 55203, 56123, 50450, 51176, 57032, 50461, 50965, 53849, 57346, 60243, 50415, 51050, 59519, 50427, 51176, 59170, 50438, 51040, 59170, 50451, 51176, 63667, 53997, 52988, 50956, 57941, 50425, 51176, 54071, 50435, 50989, 51080, 50437, 50956, 72057, 50446, 51176, 61887, 50457, 71698, 51360, 52212, 51040, 52440, 53069, 51176, 56615, 50430, 50965, 51310, 50431, 51085, 53055, 64551, 60243, 50441, 51176, 51824, 50451, 51028, 51878, 50453, 51234, 52147, 50871, 59170, 51601, 51040, 54521, 50426, 51001, 51965, 72513, 63872, 50428, 50997, 52440, 50438, 51040, 55584, 50451, 50965, 54249, 50452, 51176, 76297, 75074, 53838, 51809, 50956, 56123, 50428, 50900, 65988, 50440, 50956, 57941, 50451, 50900, 69895, 50452, 51503, 68085, 56178, 57070, 50424, 50877, 51419, 53523, 58576, 50435, 50956, 54887, 50445, 50906, 53588, 50446, 51966, 58651, 50457, 50956, 58483, 55753, 50900, 55789, 64551, 55778, 50446, 50956, 54573, 50447, 51378, 58306, 50449, 50900, 63806, 50459, 51176, 52618, 57731, 50900, 55574, 50434, 50871, 52063, 50435, 51176, 60243, 50441, 50989, 51775, 50448, 50965, 51592, 50449, 51050, 53678, 50450, 51040, 65748, 50460, 51176, 63532, 56020, 51040, 60326, 50434, 51176, 61450, 64118, 55490, 50447, 51234, 66595, 51176, 65254, 50458, 51050, 61211, 55753, 51176, 56123, 50433, 51050, 60243, 50447, 50989, 51748, 50448, 50997, 51961, 50449, 52046, 55275, 50460, 51378, 53838, 55746, 50997, 51737, 50437, 51378, 58961, 50449, 50871, 75589, 51378, 54836, 51503, 52988, 51601, 50956, 52256, 50416, 51378, 51387, 50427, 51040, 52026, 50298, 52731, 50438, 51378, 54521, 50900, 51172, 50453, 50956, 58651, 50454, 52759, 65278, 51378, 53838, 55753, 51176, 65748, 50433, 51378, 60150, 50434, 51360, 65278, 50446, 51176, 59170, 50459, 52759, 56599, 50460, 51040, 56374, 51050, 59170, 57731, 51176, 52048, 50433, 51040, 51210, 50441, 50871, 53726, 50450, 50965, 52378, 50459, 51028, 52256, 60212, 50931, 52062, 50425, 50871, 60243, 51360, 55275, 51040, 68886, 50437, 50965, 55574, 50439, 51176, 53306, 50449, 51040, 59821, 50871, 58961, 50459, 50965, 52397, 50460, 51176, 55197, 56020, 51001, 53588, 51378, 52727, 50423, 50956, 63667, 50900, 54836, 50434, 50965, 55036, 50300, 53838, 50445, 50956, 61211, 68121, 52618, 50456, 50965, 51387, 50457, 51176, 56123, 53069, 51147, 53454, 69980, 52441, 50421, 51050, 56599, 51040, 57968, 50433, 51028, 58556, 50300, 55574, 71289, 55778, 50445, 50965, 55574, 50455, 51028, 55765, 51176, 56615, 52177, 51085, 51939, 50965, 56374, 50427, 51176, 54126, 50319, 64896, 51114, 51148, 50439, 50965, 55197, 50900, 54848, 50449, 51001, 55197, 50450, 51176, 61211, 50459, 51040, 53126, 50321, 51145, 51360, 52136, 50965, 52011, 56020, 51028, 53892, 50423, 51176, 56615, 50432, 51147, 51310, 50900, 52378, 50965, 52188, 50433, 51085, 53674, 50441, 51176, 52518, 51001, 52063, 50452, 51399, 51218, 51028, 51333, 50453, 50997, 51484, 51234, 52025, 57497, 52397, 50415, 50931, 51210, 50427, 51405, 51749, 51028, 53164, 50290, 54557, 50997, 51466, 50440, 51360, 55002, 50951, 52048, 50454, 51503, 53866, 51147, 53478, 50876, 51333, 52478, 51001, 52397, 50419, 51085, 51466, 50430, 51197, 53126, 50316, 55584, 50440, 51176, 53588, 50441, 51001, 53838, 50451, 50900, 53957, 50452, 50876, 58090, 50461, 51001, 76033, 54848, 57731, 50999, 51790, 50900, 52378, 50424, 50876, 51737, 50433, 50956, 54011, 50319, 54836, 50446, 51081, 51677, 51966, 51381, 50876, 53838, 50458, 51085, 53126, 50319, 52025, 55753, 51197, 51738, 50876, 55789, 50431, 51001, 59977, 50298, 52519, 50443, 51001, 52335, 55513, 53164, 50316, 68886, 50455, 50965, 53697, 50956, 61887, 53069, 50876, 55789, 50900, 61211, 50429, 50965, 53892, 50430, 51378, 60243, 50433, 50931, 51309, 50440, 51114, 51199, 50446, 51050, 56374, 50448, 51147, 51939, 50450, 51028, 65748, 50459, 50965, 54344, 50460, 51176, 61450, 57731, 51028, 63684, 50297, 54298, 50434, 50965, 58483, 51176, 52167, 50446, 50902, 56599, 51234, 58651, 50447, 51050, 72057, 50965, 50360, 50400, 50458, 50871, 55197, 50459, 50997, 55778, 56020, 50965, 54521, 51050, 65748, 50434, 50871, 77429, 50302, 51738, 50446, 51114, 52222, 50447, 51197, 61017, 51378, 52397, 50457, 50989, 55574, 50459, 50997, 50984, 55753, 51378, 54071, 50422, 50906, 52782, 50432, 50989, 52731, 50433, 50997, 51128, 50445, 50931, 51381, 50446, 50989, 54521, 51197, 74478, 51503, 64971, 50458, 51001, 51679, 50459, 50989, 53024, 50460, 51176, 53313, 56020, 51028, 52845, 50310, 51737, 50423, 51197, 52134, 50433, 50876, 51277, 50434, 50989, 51252, 51176, 54861, 50446, 51001, 55844, 51360, 71620, 50447, 50989, 52397, 50458, 51176, 55765, 50965, 52618, 56020, 50989, 59170, 78523, 57941, 50435, 50965, 61124, 51176, 63872, 50454, 51028, 63160, 50455, 51040, 63872, 50871, 63510, 50796, 50454, 50871, 56374, 55753, 50931, 57820, 50434, 50871, 57826, 72785, 55778, 50457, 50871, 51387, 52591, 50871, 51697, 50430, 51399, 51542, 50431, 50871, 54887, 50440, 51062, 51191, 50441, 50871, 52731, 50451, 51081, 51241, 50452, 73053, 51809, 51339, 52382, 74850, 54848, 51027, 54298, 50900, 59821, 78313, 63684, 50309, 51123, 51027, 52731, 50440, 51027, 51210, 50871, 51524, 50441, 50900, 51252, 73867, 51862, 51027, 59977, 50304, 52782, 57346, 53726, 50997, 51337, 50871, 53726, 50425, 51399, 51241, 61104, 65330, 50871, 53024, 50427, 50997, 54887, 50436, 51062, 51191, 50437, 50871, 54126, 50305, 54861, 62335, 51697, 50447, 51081, 51351, 50448, 50871, 52518, 51040, 54298, 50449, 50997, 52192, 50460, 50931, 53753, 50877, 52034, 50461, 50956, 55584, 50900, 54848, 55746, 50877, 59977, 50307, 50361, 50814, 50304, 57070, 50436, 50956, 53693, 50313, 52731, 50437, 50900, 54071, 50446, 50956, 55778, 50447, 50877, 55505, 50304, 52782, 50457, 50906, 52518, 50458, 51040, 54298, 50871, 54298, 52591, 51399, 51391, 50421, 51040, 50361, 50814, 50314, 52167, 63714, 51550, 50430, 51062, 51241, 50431, 50906, 51524, 51040, 52858, 50309, 52731, 50440, 51081, 51218, 50441, 50906, 75868, 51524, 51040, 52731, 50451, 51028, 54836, 50452, 51147, 51742, 50906, 55197, 50956, 58090, 52177, 51028, 78290, 54691, 50418, 50956, 53313, 50428, 51028, 53010, 50951, 51422, 50429, 50956, 58961, 50906, 54691, 50439, 51028, 55505, 50307, 53010, 50440, 50906, 52731, 50450, 51028, 54298, 50916, 54861, 50451, 50906, 54386, 50461, 51028, 52731, 55524, 52514, 50415, 50906, 52101, 51147, 51376, 50419, 50951, 51524, 50422, 50931, 61911, 50951, 51177, 50428, 51028, 55574, 50429, 50916, 61450, 50861, 60326, 50432, 51081, 51477, 50443, 51028, 51697, 65827, 55811, 50445, 50861, 73792, 51147, 51254, 50457, 51147, 57232, 50876, 60326, 50965, 58090, 50459, 50871, 60150, 60212, 50876, 54088, 50965, 56373, 50425, 50871, 52794, 50436, 50965, 59977, 50316, 52946, 50437, 50871, 56373, 78202, 52179, 50965, 51832, 50448, 50871, 51470, 50460, 50906, 52015, 50461, 51040, 58483, 50965, 55778, 69341, 51040, 52946, 50965, 51832, 50438, 50965, 54298, 50439, 51040, 51737, 50440, 76232, 50443, 50906, 51123, 50446, 57472, 50449, 50906, 50978, 50452, 50965, 54298, 51040, 55789, 50453, 51028 ]
[ 0, 250, 748, 1879, 15525, 15855, 19834, 4246, 856, 17993, 6, 1893, 43639, 6, 17465, 102, 6, 2342, 4467, 6, 8, 21072, 6, 42, 15352, 30054, 15229, 11, 230, 538, 7630, 6568, 10, 25306, 5466, 4, 590, 10, 23667, 20889, 9, 17445, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 23458, 28337, 9066, 8, 2933, 223, 34693, 19, 3423, 9, 11098, 6, 2351, 10, 13363, 28191, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50450, 55233, 50795, 53587, 51923, 55553, 50795, 57101, 50795, 50799, 59888, 50807, 55233, 52910, 55233, 50807, 53587, 52424, 55233, 50807, 53587, 52728, 55233, 50807, 53587, 50807, 50799, 57101, 50807, 53081, 52910, 55233, 50918, 53587, 56811, 55553, 50807, 57101, 50807, 50799, 59888, 50807, 55233, 52910, 59888, 50807, 53587, 52424, 55233, 50983, 54291, 68862, 57101, 50795, 53208, 50795, 50799, 53587, 51161, 54269, 77481, 53587, 50807, 54269, 50807, 50799, 53587, 50807, 54269, 52910, 55233, 50807, 53587, 52424, 55233, 50807, 53587, 52728, 53587, 50807, 54269, 50807, 50799, 53587, 50807, 54269, 52910, 57101, 50918, 53208, 56811, 55233, 50807, 54291, 50807, 50799, 55553, 50807, 53546, 52910, 55233, 50807, 54291, 52424, 57101, 50983, 53208, 68862, 53587, 50795, 54269, 50795, 50799, 57101, 51161, 53208, 77481, 55233, 50795, 53587, 51923, 55553, 50795, 57101, 50795, 50799, 59888, 50807, 55233, 52910, 55233, 50807, 53587, 52424, 55233, 50807, 53587, 52728, 55233, 50807, 53587, 50807, 50799, 57101, 50807, 53081, 52910, 55233, 50918, 53587, 56811, 55553, 50807, 57101, 50807, 50799, 59888, 50807, 55233, 52910, 59888, 50807, 53587, 52424, 55233, 50983, 54291, 68862, 57101, 50795, 53208, 50795, 50799, 53587, 51161, 54269, 77481, 55233, 50795, 53587, 51923, 55233, 50795, 53587, 50795, 50799, 55233, 50807, 53587, 52910, 53081, 50807, 58989, 52424, 53081, 50807, 58989, 52728, 53081, 50807, 58989, 50807, 50799, 53081, 50807, 58989, 52910, 53587, 50918, 54269, 56811, 57101, 50807, 53208, 50807, 50799, 55233, 50807, 54291, 52910, 59888, 50807, 53587, 52424, 53587, 50983, 54269, 68862, 57101, 50795, 53208, 50795, 50799, 55233, 51492, 54291, 51492, 50799, 50639, 51899, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 56703, 72335, 51724, 50816, 71324, 51754, 50816, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 56703, 72335, 51724, 50816, 71324, 51754, 50816, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 53862, 50807, 51899, 50800, 53862, 53312, 50816, 50800, 56703, 50800, 54163, 53561, 50816, 72335, 50800, 53862, 62715, 50816, 51724, 50816, 71324, 50800, 54899, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 54157, 50983, 51899, 51754, 50816, 50800, 54515, 50795, 56703, 50800, 56101, 59047, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 56101, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 56101, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 53862, 50807, 51899, 50800, 56101, 53312, 50816, 50800, 56703, 50800, 56101, 53561, 50816, 72335, 50800, 54515, 62715, 50816, 51724, 50816, 71324, 50800, 54157, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 55823, 50807, 51694, 50800, 54157, 52424, 50816, 50800, 54515, 50983, 51899, 51754, 50816, 50800, 56101, 50795, 56703, 50800, 54515, 59047, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 53862, 50807, 51899, 50800, 53862, 53312, 50816, 50800, 56703, 50800, 54163, 53561, 50816, 72335, 50800, 53862, 53182, 50816, 51724, 50816, 50800, 53862, 50983, 51899, 52809, 50816, 51754, 50816, 50800, 54899, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 54157, 50983, 51899, 51754, 50816, 50800, 54515, 50795, 56703, 50800, 56101, 59047, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 54706, 51754, 50816, 50800, 53862, 50795, 53206, 50800, 56703, 50800, 53862, 50807, 51694, 50800, 55111, 52424, 50816, 50800, 55111, 50807, 51899, 50800, 55111, 53312, 50816, 50800, 56703, 50800, 55111, 53561, 50816, 72335, 50800, 56101, 53182, 50816, 51724, 50816, 50800, 54515, 50983, 51899, 52809, 50816, 51754, 50816, 50800, 54157, 50795, 53206, 50800, 56703, 50800, 54157, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 56101, 50983, 51899, 51754, 50816, 50800, 54515, 50795, 56703, 50800, 54157, 51492, 61889, 72335, 51628, 50816, 51724, 50816, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 56703, 72335, 51724, 50816, 71324, 51754, 50816, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 51686, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 51565, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51686, 52424, 50816, 50800, 53862, 50807, 51686, 50807, 60458, 50918, 51899, 50800, 53862, 50807, 51686, 53312, 50816, 50800, 56703, 50800, 54163, 50807, 51827, 50807, 55129, 54994, 50816, 72335, 50800, 53862, 50918, 51686, 62715, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 53862, 50795, 51686, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 51565, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51606, 52424, 50816, 50800, 54157, 50983, 51686, 50983, 60458, 50918, 51899, 51754, 50816, 50800, 54515, 50795, 51827, 50795, 56703, 50800, 56101, 51161, 51673, 51161, 55129, 54994, 50816, 72335, 51628, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 56101, 50807, 51673, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 56101, 50807, 51673, 50807, 53942, 50918, 51694, 50800, 53862, 50807, 51686, 52424, 50816, 50800, 53862, 50807, 51686, 50807, 55129, 50918, 51899, 50800, 56101, 50807, 51673, 53312, 50816, 50800, 56703, 50800, 56101, 50807, 51673, 50807, 53942, 54994, 50816, 72335, 50800, 54515, 50918, 51827, 62715, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 54157, 50807, 51686, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 55823, 50807, 51565, 50807, 53942, 50918, 51694, 50800, 54157, 50807, 51686, 52424, 50816, 50800, 54515, 50983, 51827, 50983, 60458, 50918, 51899, 51754, 50816, 50800, 56101, 50795, 51673, 50795, 56703, 50800, 54515, 51161, 51827, 51161, 53942, 53561, 50816, 72335, 50800, 60458, 53182, 50816, 51724, 50816, 50800, 61053, 50807, 51899, 50800, 53862, 50795, 51686, 50795, 63513, 50807, 54706, 51754, 50816, 50800, 54899, 50795, 51565, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51686, 52424, 50816, 50800, 53862, 50807, 51686, 50807, 60458, 50918, 51899, 50800, 53862, 50807, 51686, 53312, 50816, 50800, 56703, 50800, 54163, 50807, 51827, 50807, 55129, 54994, 50816, 72335, 50800, 53862, 50918, 51686, 62715, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 54899, 50807, 51565, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51606, 52424, 50816, 50800, 54157, 50983, 51686, 50983, 60458, 50918, 51899, 51754, 50816, 50800, 54515, 50795, 51827, 50795, 56703, 50800, 56101, 51161, 51673, 51161, 55129, 54994, 50816, 72335, 51628, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 53862, 50795, 51686, 50795 ]
[ 0, 250, 15855, 2125, 19, 3495, 16882, 6, 42, 2214, 7630, 6568, 10, 25306, 8, 19448, 5466, 4, 2595, 10312, 30, 13305, 8, 6168, 3540, 6, 24, 30853, 11, 10, 16634, 155, 73, 306, 86, 6543, 23, 41, 178, 5285, 20889, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 1575, 10, 33215, 16739, 9, 211, 119, 6, 230, 6, 163, 428, 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 ]	[ 51034, 50624, 51034, 58882, 50417, 50906, 50978, 57340, 60988, 50876, 58192, 71039, 78740, 60539, 50877, 66859, 50876, 50978, 57267, 78873, 50906, 64208, 67692, 78202, 50867, 51034, 58882, 50417, 50906, 50978, 57340, 60988, 50876, 58192, 71039, 78740, 60539, 50877, 67869, 50876, 50978, 57267, 66867, 77052, 50906, 64208, 50877, 50987, 78202, 50867, 51034, 65218, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 50877, 67869, 50876, 50978, 57267, 66867, 77052, 50906, 64208, 50877, 50987, 78202, 50867, 51034, 65218, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 50877, 67869, 50876, 60676, 52494, 59055, 66867, 51003, 50441, 50906, 64208, 50877, 59957, 50876, 50867, 51034, 52203, 51295, 72684, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 52203, 57069, 67869, 50876, 60676, 52307, 58399, 60898, 51003, 50441, 50906, 64208, 52307, 59389, 59957, 59855, 51034, 53042, 51183, 50861, 52434, 50307, 51183, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 50877, 67869, 50876, 60676, 52494, 58399, 66867, 63939, 50906, 64208, 52494, 59389, 59957, 59855, 51034, 53602, 51183, 50861, 51514, 50302, 51183, 50417, 50906, 50978, 57340, 58861, 50876, 58192, 50906, 64318, 50902, 60539, 50877, 60234, 50876, 60676, 52795, 57348, 63327, 63939, 50906, 64208, 52795, 57069, 59956, 59855, 51034, 52494, 51127, 50989, 61566, 51183, 50417, 50877, 50978, 55902, 58861, 50906, 50987, 56207, 64318, 50876, 50987, 58319, 60234, 50906, 60676, 52494, 51145, 50989, 69792, 77052, 50877, 50978, 58365, 59956, 66768, 51034, 50989, 66867, 51183, 50417, 64645, 55902, 58506, 71039, 56207, 50987, 50429, 70688, 58319, 67869, 50906, 58450, 52494, 58421, 66867, 51003, 50441, 50876, 63280, 50906, 59957, 59139, 51034, 52307, 60015, 57911, 51103, 73401, 58793, 50906, 71818, 50902, 57629, 52307, 59391, 69353, 50968, 57066, 50906, 61428, 50902, 56983, 52882, 57254, 65185, 51013, 50441, 50876, 60835, 52882, 61419, 71097, 68455, 51034, 52614, 63831, 50806, 51050, 51196, 73401, 61955, 50906, 54901, 65624, 56546, 57200, 50968, 57748, 50906, 55246, 50902, 59826, 52307, 68699, 67899, 69152, 50876, 61897, 52307, 65792, 55967, 50906, 50858, 51034, 52494, 51115, 50871, 72066, 75843, 50877, 50948, 56440, 65393, 50861, 50865, 53645, 54253, 50877, 56504, 52882, 64294, 58926, 50906, 58020, 52795, 65480, 51458, 50296, 50943, 50441, 50861, 55040, 50899, 65586, 69540, 51034, 54019, 51662, 51040, 51644, 50289, 51148, 50417, 50916, 51006, 54569, 61544, 50871, 51058, 56248, 65005, 50861, 51058, 58296, 60282, 50871, 56480, 51040, 51644, 50296, 74244, 50916, 51006, 55989, 61554, 58529, 51034, 54019, 72110, 69792, 51145, 50417, 50916, 51058, 54569, 62149, 50871, 50978, 56248, 65005, 50861, 50978, 58296, 60282, 50871, 51058, 59419, 69151, 50861, 51058, 57428, 60785, 60124, 68866, 66719, 53164, 50287, 52431, 50418, 50906, 51365, 66345, 70236, 51315, 74471, 51466, 50430, 76584, 71626, 69406, 53602, 51712, 50297, 52454, 50306, 51466, 50442, 50906, 51365, 50444, 53602, 50974, 68473, 51365, 51034, 53602, 51145, 51120, 66719, 53164, 50287, 52431, 50418, 50906, 51365, 66345, 70236, 51315, 52845, 50308, 51466, 50430, 76584, 71626, 69406, 53602, 51644, 50297, 77014, 51466, 50442, 50906, 51365, 50444, 53602, 50905, 68473, 51365, 51034, 53602, 51310, 51315, 63821, 52845, 50287, 52140, 50418, 50906, 51210, 66345, 51210, 60643, 66719, 51333, 50430, 50906, 72883, 53602, 70139, 50997, 69658, 52795, 71115, 74471, 51333, 50442, 50906, 51210, 50444, 52494, 50892, 68473, 51210, 51034, 52882, 61679, 50844, 51799, 51097, 50417, 50877, 54351, 52494, 73387, 55266, 50877, 53450, 52494, 51148, 69308, 51378, 51097, 50429, 50877, 53513, 51027, 55167, 50877, 53614, 66908, 51279, 75576, 50877, 53783, 51027, 55876, 61133, 51034, 50624, 52494, 68186, 50844, 51799, 51097, 50417, 50877, 54351, 51027, 55266, 61133, 53337, 50844, 51050, 51097, 50429, 50877, 53513, 51027, 55167, 50877, 53614, 61133, 51279, 75576, 50902, 53743, 50899, 55118, 59139, 51034, 50624, 51026, 66412, 51517, 50292, 51939, 50418, 51001, 64987, 50956, 55656, 51027, 66920, 50932, 50430, 51001, 62727, 50956, 56180, 50997, 61087, 77563, 53042, 50987, 50442, 51001, 50933, 50445, 53042, 50987, 50446, 50956, 50933, 51034, 53042, 51127, 51027, 63348, 51517, 50294, 51939, 50418, 51001, 69647, 50989, 50959, 56759, 64292, 50981, 50430, 51001, 61172, 50989, 58866, 53042, 52434, 50304, 59460, 50914, 50442, 51001, 54630, 53042, 50977, 50446, 77206, 51034, 53042, 51103, 50997, 52297, 50317, 52297, 50295, 51933, 50418, 51001, 50952, 64309, 50952, 53523, 59391, 50807, 50430, 51001, 62408, 50861, 58866, 50623, 53042, 51741, 50305, 63211, 51003, 50442, 51001, 65845, 68929, 51034, 50624, 50900, 51514, 50298, 51183, 50902, 51422, 50417, 67692, 54569, 63867, 50906, 55440, 50997, 62554, 50861, 58191, 51027, 58926, 50877, 56057, 52494, 52098, 50299, 54789, 50906, 54630, 51027, 59513, 52494, 68527, 56143, 51034, 53042, 51127, 50997, 52530, 50317, 52297, 50295, 51941, 50418, 51001, 50952, 64309, 50952, 53523, 59391, 50807, 50430, 51001, 62408, 50861, 58866, 53042, 51665, 50305, 63211, 51003, 50442, 51001, 63959, 53042, 50866, 67655, 51008, 51034, 50624, 52494, 51127, 50900, 51514, 50298, 51183, 50902, 51422, 50417, 57634, 54569, 63867, 69429, 56759, 62554, 50861, 58191, 51027, 57807, 50877, 56983, 52494, 69836, 54789, 50906, 54630, 51027, 67636, 62926, 75424, 52297, 50317, 52297, 50295, 51933, 50418, 51001, 50952, 64309, 50952, 53523, 59391, 50807, 50430, 51001, 62408, 50861, 58866, 53042, 51109, 51040, 72341, 51013, 50442, 51001, 50952, 67655, 50940, 51034, 50624, 53839, 50806, 51197, 62596, 53177, 50288, 51585, 80121, 69551, 53839, 50893, 50422, 50989, 61001, 52307, 51936, 50297, 62596, 51090, 50430, 50931, 62019, 52307, 67449, 50871, 64543, 53042, 52297, 50298, 62596, 51090, 50442, 51001, 51033, 50446, 50956, 51033, 51034, 54568, 51442, 50290, 51958, 50310, 51090, 50418, 51028, 69551, 54568, 50879, 50422, 51040, 61001, 52795, 70928, 65287, 51090, 50430, 50876, 62019, 50623, 50434, 50956, 56360, 53602, 51514, 50293, 74127, 50807, 50442, 50906, 58937, 53602, 72688, 51040, 50942, 51034, 50624, 54019, 51677, 80255, 51120, 51662, 50877, 51662, 50417, 50900, 54351, 50916, 54252, 50900, 53450, 50989, 56739, 50900, 53513, 50861, 54378, 50900, 53614, 50916, 57366, 50900, 53783, 50989, 55118, 66883, 51034, 53602, 51677, 57660, 51279, 51662, 51315, 51662, 50906, 51662, 50417, 51040, 54351, 50989, 54252, 51040, 53450, 50861, 56739, 51040, 53513, 50877, 54378, 51040, 53614, 50989, 57366, 51040, 53783, 50861, 55118, 51040, 50844, 51034, 50989, 59537, 51183, 50417, 67692, 55902, 58861, 50906, 55440, 50877, 64318, 50876, 56799, 50861, 60234, 50906, 59577, 50989, 63663, 51003, 50441, 67692, 58365, 59956, 50906, 50857, 51034, 52494, 51127, 50989, 58871, 51127, 50417, 57634, 55902, 60522, 69429, 56207, 64627, 70178, 58319, 61647, 50906, 55467, 50989, 71942, 50943, 50441, 57634, 58365, 62617, 50906, 50813, 51034, 52795, 51218, 50877, 57743, 51077, 73401, 60872, 50906, 53471, 50902, 55640, 50876, 54253, 50968, 58466, 52795, 58801, 63363, 50902, 53402, 52882, 58696, 61805, 67480, 50876, 61897, 52882, 56730 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 14, 115, 1807, 25, 10, 822, 19834, 6, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 2342, 4467, 6, 9590, 3863, 6, 8, 21072, 6, 2351, 41, 5466, 9, 15073, 6, 9066, 9733, 6, 8, 814, 4, 20, 15229, 16, 11, 163, 3694, 6, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 21437, 10, 33215, 16739, 9, 163, 119, 6, 274, 10431, 119, 1176, 406, 6, 381, 73, 597, 10431, 6, 163, 119, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 52065, 51795, 52065, 51795, 62276, 51795, 62276, 51795, 50799, 53278, 50813, 53278, 50813, 50740, 50284, 50830, 50740, 50284, 55587, 53654, 50813, 53654, 52524, 52507, 50810, 52507, 50810, 75386, 50830, 75386, 54372, 52684, 50855, 52684, 54431, 54008, 50862, 54008, 50862, 50740, 50284, 50897, 50740, 50284, 58937, 52507, 50857, 52507, 54086, 54008, 50977, 54008, 50977, 75386, 50849, 75386, 50849, 50799, 53361, 50833, 53361, 50833, 50740, 50284, 50937, 50740, 50284, 59771, 53654, 50862, 53654, 53901, 53361, 50977, 53361, 50977, 75386, 50849, 75386, 53470, 52684, 50810, 52684, 50810, 50740, 50284, 50878, 50740, 50284, 58991, 52693, 50857, 52693, 54086, 75386, 50948, 75386, 50948, 52684, 50937, 52684, 50937, 50799, 53278, 50833, 53278, 50833, 50740, 50284, 50830, 50740, 50284, 55587, 53654, 50855, 53654, 54156, 75386, 50858, 75386, 50858, 52507, 50810, 52507, 52658, 52684, 50855, 52684, 54431, 54008, 50810, 54008, 50810, 50740, 50284, 50948, 50740, 50284, 59591, 52507, 50862, 52507, 53938, 54008, 50810, 54008, 50810, 75386, 50830, 75386, 54896, 55314, 50925, 55314, 50925, 50799, 53679, 50844, 53679, 50844, 50740, 50287, 50865, 50740, 50287, 56202, 54008, 50987, 54008, 58192, 52507, 50854, 52507, 50854, 62251, 50865, 62251, 54725, 54008, 50813, 54008, 52781, 50740, 50287, 50991, 50740, 50287, 50991, 53679, 51397, 53679, 51397, 50450, 62251, 51100, 62251, 51100, 50799, 53278, 50833, 53278, 50833, 50740, 50284, 50977, 50740, 50284, 68531, 53654, 50862, 53654, 53901, 52507, 50855, 52507, 50855, 75386, 50830, 75386, 54372, 52684, 50857, 52684, 53891, 54008, 50857, 54008, 50857, 50740, 50284, 50830, 50740, 50284, 54630, 52507, 50841, 52507, 53083, 54008, 50977, 54008, 50977, 75386, 50967, 75386, 50967, 50799, 53361, 50862, 53361, 50862, 50740, 50284, 50865, 50740, 50284, 56202, 53654, 50813, 53654, 52524, 53361, 50917, 53361, 50917, 75386, 51175, 75386, 76183, 52684, 50862, 52684, 50862, 50740, 50284, 50925, 50740, 50284, 62063, 52693, 50857, 52693, 54086, 75386, 50795, 75386, 50795, 52684, 50845, 52684, 50845, 50799, 53278, 50810, 53278, 50810, 50740, 50284, 50830, 50740, 50284, 55587, 53654, 50844, 53654, 53450, 52507, 50822, 52507, 50822, 75386, 50897, 75386, 57066, 52684, 50844, 52684, 53614, 54008, 50844, 54008, 50844, 50740, 50284, 50942, 50740, 50284, 63634, 52507, 50822, 52507, 53140, 54008, 50844, 54008, 50844, 75386, 50849, 75386, 53702, 55314, 50937, 55314, 50937, 50799, 53679, 50810, 53679, 50810, 50740, 50287, 50795, 50740, 50287, 52115, 54008, 50810, 54008, 52654, 52507, 50854, 52507, 50854, 62251, 50925, 62251, 58191, 54008, 50820, 54008, 52600, 50740, 50287, 51235, 50740, 50287, 51235, 53679, 50983, 53679, 50983, 52583, 51295, 52583, 79766, 62251, 50865, 62251, 50865, 50799, 52065, 51014, 52065, 51014, 50740, 50279, 51388, 50740, 50279, 51388, 56117, 51210, 56117, 51210, 50420, 51794, 50962, 51794, 50962, 54541, 50941, 54541, 54654, 51426, 50894, 51426, 50894, 50740, 50286, 51021, 50740, 50286, 51021, 52695, 50907, 52695, 54661, 51301, 50962, 51301, 50962, 53064, 50971, 53064, 55108, 51491, 50962, 51491, 50962, 50740, 50279, 50923, 50740, 50279, 50923, 53780, 50971, 53780, 56069, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 55256, 51491, 50923, 51491, 50923, 50740, 50286, 51021, 50740, 50286, 51021, 53780, 51079, 53780, 51079, 63441, 50894, 51088, 50894, 50740, 50275, 51021, 50740, 50275, 51021, 51946, 50851, 51946, 54711, 51426, 50962, 51426, 50962, 52695, 51000, 52695, 56323, 51088, 50923, 51088, 50923, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 51079, 51946, 58151, 51491, 50894, 51491, 50894, 50740, 50279, 50923, 50740, 50279, 50923, 53780, 50907, 53780, 54682, 51426, 50962, 51426, 50962, 52695, 51126, 52695, 58271, 51491, 51388, 51491, 51388, 50740, 50286, 50923, 50740, 50286, 50923, 53780, 51884, 53780, 51884, 50799, 52065, 50894, 52065, 50894, 50740, 50279, 51021, 50740, 50279, 51021, 56117, 50912, 56117, 55869, 51794, 50962, 51794, 50962, 54541, 50971, 54541, 54689, 51426, 50962, 51426, 50962, 50740, 50286, 51014, 50740, 50286, 51014, 52695, 50971, 52695, 55487, 51301, 50894, 51301, 50894, 53064, 50912, 53064, 54793, 51491, 50894, 51491, 50894, 50740, 50279, 51014, 50740, 50279, 51014, 53780, 50907, 53780, 54682, 51426, 50962, 51426, 50962, 52695, 51000, 52695, 55634, 51491, 51388, 51491, 51388, 50740, 50286, 50923, 50740, 50286, 50923, 53780, 51753, 53780, 51753, 63441, 50894, 51088, 50894, 50740, 50275, 51021, 50740, 50275, 51021, 51946, 50874, 51946, 54448, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 54689, 51088, 51388, 51088, 51388, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 51481, 51946, 51481, 50438, 51491, 51552, 51491, 51552, 50740, 50279, 51388, 50740, 50279, 51388, 53780, 53280, 53780, 53280, 50450, 50740, 50286, 51021, 50740, 50286, 51021, 50799, 52065, 50894, 52065, 50894, 50740, 50279, 51021, 50740, 50279, 51021, 56117, 50907, 56117, 54964, 51794, 50962, 51794, 50962, 54541, 50971, 54541, 54689, 51426, 50962, 51426, 50962, 50740, 50286, 51014, 50740, 50286, 51014, 52695, 50941, 52695, 55286, 51301, 50962, 51301, 50962, 53064, 50971, 53064, 55108, 51491, 50962, 51491, 50962, 50740, 50279, 51014, 50740, 50279, 51014, 53780, 50971, 53780, 56069, 51426, 50962, 51426, 50962, 52695, 51297, 52695, 60258, 51491, 51388, 51491, 51388, 50740, 50286, 51021, 50740, 50286, 51021, 53780, 51481, 53780, 51481, 63441, 50894, 51088, 50894, 50740, 50275, 51014, 50740, 50275, 51014, 51946, 50912, 51946, 55869, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 54689, 51088, 51354, 51088, 51354, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 51642, 51946, 51642, 50438, 51491, 50894, 51491, 50894, 50740, 50279, 50923, 50740, 50279, 50923, 53780, 51123, 53780, 60466, 51426, 50962, 51426, 50962, 52695, 51126, 52695, 58271, 51491, 51354, 51491, 51354, 50740, 50286, 50923, 50740, 50286, 50923, 53780, 51797, 53780, 51797, 50799, 52065, 50894, 52065, 50894, 50740, 50279, 51014, 50740, 50279, 51014, 56117, 50912, 56117, 55869, 51794, 50962, 51794, 50962, 54541, 50971, 54541, 54689, 51426, 50894, 51426, 50894, 50740, 50286, 51021, 50740, 50286, 51021, 52695, 50912, 52695, 55100, 51301, 50962, 51301, 50962, 53064, 50941, 53064, 54927, 51491, 50894, 51491, 50894, 50740, 50279, 51014, 50740, 50279, 51014, 53780, 50907, 53780, 54682, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 55256, 51491, 51388, 51491, 51388, 50740, 50286, 51021, 50740, 50286, 51021, 53780, 51481, 53780, 51481, 63441, 50894, 51088, 50894, 50740, 50275, 51021, 50740, 50275, 51021, 51946, 50851, 51946, 54711, 51426, 50962, 51426, 50962, 52695, 50941, 52695, 54654, 51088, 50923, 51088, 50923, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 50972, 51946, 54938, 53148, 51573, 53148, 51573, 51491, 51573, 51491, 51573, 50740, 50279, 51354, 50740, 50279, 51354, 73293, 52441, 53780, 51679, 53780, 75589, 50740, 50286, 51014, 50740, 50286, 51014, 70321, 50962, 51301, 50962, 50740, 50284, 50894, 50740, 50284, 50894, 53064, 50941, 53064, 50941, 54120, 54878, 51491, 50894, 51491, 50894, 53780, 50907, 53780, 50907, 54027, 53906, 51088, 50894, 51088, 50894, 75386, 51014, 75386, 51014, 51946, 50851, 51946, 50851, 52182, 52749, 51113, 50962, 51113 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 3366, 219, 8, 980, 219, 5466, 6, 4246, 10, 6755, 12547, 6, 21072, 6, 3459, 13305, 6, 38668, 11212, 6, 8, 38668, 9590, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 163, 3694, 6, 19, 10, 33215, 16739, 9, 163, 119, 406, 6, 83, 401, 6, 8, 3676, 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 ]	[ 57530, 50796, 50796, 50461, 54263, 50937, 54932, 50977, 52591, 54263, 50942, 54932, 55440, 54615, 50977, 52290, 53961, 55979, 50866, 54102, 58346, 54263, 51194, 54932, 51043, 50447, 54615, 51221, 52290, 79100, 53036, 50974, 52974, 50838, 50799, 54263, 50942, 54932, 58793, 54263, 50942, 54932, 55440, 54263, 50942, 54932, 56799, 55979, 50987, 54102, 60676, 54263, 51194, 54932, 51043, 50447, 54615, 50943, 52290, 51003, 57731, 54615, 50855, 54932, 53901, 53918, 50855, 54102, 57903, 53918, 50855, 54102, 54215, 54615, 50925, 54932, 58927, 53036, 51025, 52792, 51411, 57731, 54615, 50836, 54932, 54156, 54263, 50836, 55810, 58511, 53918, 50862, 54102, 52810, 53918, 50862, 54102, 54350, 54615, 50833, 54932, 62079, 53036, 51056, 52792, 51267, 50799, 65033, 50774, 50304, 55234, 51187, 60008, 50863, 79151, 51714, 50417, 50774, 50304, 68349, 51545, 61132, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 70293, 50971, 50774, 50299, 62285, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50864, 51771, 50857, 52427, 51559, 59131, 51195, 75794, 50863, 51450, 51539, 59144, 51525, 56454, 53594, 52003, 50904, 52775, 50862, 51816, 50813, 51265, 56935, 51467, 54673, 52003, 50928, 52775, 71483, 51265, 50379, 52852, 51004, 51899, 51187, 57690, 51265, 79804, 56077, 52003, 50905, 52775, 50866, 51816, 50892, 51545, 50878, 51970, 50799, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52126, 50829, 51771, 50835, 52427, 70293, 50971, 50774, 50299, 62977, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50857, 51771, 50867, 52427, 51559, 59131, 51195, 75794, 50863, 51450, 51539, 59144, 51525, 56454, 53594, 52003, 50886, 52775, 50862, 51816, 74226, 56935, 51467, 54673, 52003, 50825, 52775, 50835, 51816, 63041, 51265, 50379, 52852, 51004, 51899, 51187, 57690, 51265, 79804, 56077, 52003, 51254, 52775, 50866, 51816, 50977, 51545, 50878, 51970, 50799, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 51350, 50971, 50774, 50299, 62285, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 51970, 50436, 51195, 75794, 50863, 51450, 51539, 59144, 51525, 56454, 53594, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50864, 51265, 56935, 51467, 61333, 51265, 50379, 52852, 54044, 50774, 50311, 54327, 51187, 55097, 50774, 50309, 80230, 51265, 79804, 56077, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50904, 51545, 50878, 51970, 50799, 65033, 50774, 50304, 55234, 51187, 50825, 79151, 51714, 50417, 50774, 50299, 50974, 50418, 51545, 68162, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 51350, 57515, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 80185, 52365, 66640, 51195, 75794, 50371, 52439, 50863, 51450, 51539, 50373, 52439, 60604, 51525, 50370, 53746, 58810, 53594, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 53036, 50977, 51265, 56935, 51467, 61333, 51265, 50379, 52852, 50365, 53746, 53421, 53036, 50938, 51471, 50453, 50798, 59617, 51265, 79804, 50364, 53746, 54059, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 52817, 50917, 51545, 50878, 51927, 53746, 59025, 51525, 50370, 53746, 50891, 69036, 50917, 52817, 50897, 65033, 50774, 50304, 55234, 51187, 60008, 50863, 79151, 51714, 50417, 50774, 50304, 68349, 51545, 61132, 50791, 57311, 52645, 50937, 52126, 50886, 51771, 50857, 52427, 50862, 52817, 50813, 51350, 50971, 50774, 50299, 62285, 54563, 54951, 52817, 57629, 51350, 54690, 51187, 54956, 52817, 58528, 51195, 53705, 52645, 50836, 52126, 50864, 51771, 50857, 52427, 50813, 52817, 53197, 52223, 59131, 52645, 50836, 51195, 75794, 52896, 52660, 50854, 52817, 53630, 52348, 54905, 53036, 63753, 52660, 53597, 50559, 57526, 53594, 52003, 50904, 52775, 50862, 51816, 50813, 53036, 74226, 56935, 51464, 54673, 52003, 50928, 52775, 71483, 52660, 50833, 51265, 50379, 52852, 53421, 53036, 56394, 51187, 55097, 53036, 65556, 51265, 79804, 54616, 52660, 50937, 52003, 50905, 52775, 50866, 51816, 50892, 53036, 50867, 51545, 50878, 71793, 53036, 50857, 60139, 50917, 52817, 50878, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52587, 50937, 52126, 50829, 51771, 50835, 52427, 50862, 52817, 50857, 51350, 50971, 50774, 50299, 62977, 54563, 54951, 52817, 57499, 51350, 54690, 51187, 54956, 52817, 58528, 51195, 53705, 52587, 50836, 52126, 50857, 51771, 50867, 52427, 50813, 52817, 59810, 52223, 59131, 52587, 50836, 51195, 75794, 52896, 54471, 50854, 52817, 59810, 52348, 59144, 54471, 53597, 50559, 57526, 53594, 52003, 50886, 52775, 50862, 51816, 74226, 56935, 51464, 54673, 52003, 50825, 52775, 50835, 51816, 50886, 53036, 63041, 54471, 50833, 51265, 50379, 52852, 53421, 53036, 56394, 51187, 55097, 53036, 63226, 51265, 79804, 54616, 52587, 50937, 52003, 51254, 52775, 50866, 51816, 50977, 52817, 50955, 51545, 50878, 51970, 64197, 51121, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 51350, 50971, 50774, 50299, 62285, 54563, 54951, 52817, 62782, 52887, 55035, 51350, 54690, 51187, 54956, 52817, 58528, 51195, 53705, 55252, 50977, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 52817, 52923, 52223, 59131, 51195, 75794, 52896, 52887, 51121, 52817, 60623, 52348, 59144, 51525, 57526, 53594, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50864, 53036, 50955, 51265, 56935, 51464, 61333, 51265, 50379, 52852, 53421, 53036, 50955, 55610, 57690, 51265, 79804, 54616, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50904, 53036, 50857, 51545, 50878, 71793, 53036, 50834, 64197, 50897, 52817, 50855, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 52817, 50857, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52887, 50937, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 52817, 50813, 51350, 50971, 50774, 50299, 62285, 54563, 54951, 52817, 52524, 54471, 50897, 52817, 50857, 51350, 54690, 51187, 54956, 52817, 60155, 51195, 53705, 54471, 50937, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 52817, 53983, 52223, 54483, 52817, 58853, 51195, 75794, 52896, 52587, 50897, 52817, 50914, 55418, 59144, 51525, 50371, 52439, 55147, 53594, 52587, 50835, 52647, 50886, 51771, 50857, 52427, 50862, 52092, 50886, 51265, 56935, 51916, 50371, 52439, 59265, 52365, 51258, 50448, 52587, 50917, 51265, 50379, 52852, 72667, 50870, 51899, 51187, 72512, 59617, 52587, 50864, 51265, 54199, 52660, 50937, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 51545, 50878, 51525, 59500, 51437, 59789, 51525, 56533, 50825, 61163, 50938, 53278, 52147, 52507, 52147, 54008, 52147, 50774, 50304, 55234, 51187, 61819, 58593, 53719, 50846, 50774, 50304, 64523, 50791, 54303, 52645, 50917, 52126, 50867, 79779, 52427, 50855, 53719, 50839, 50774, 50299, 62285, 54563, 54604, 53719, 52992, 53719, 53754, 51187, 54956, 53719, 59508, 52834, 54075, 52126, 50886, 79779, 52427 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 11739, 9, 13305, 6, 38668, 11212, 6, 6755, 12547, 6, 21979, 8669, 6, 8, 12280, 3275, 1725, 3109, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 11956, 178, 5285, 20889, 4, 20, 15229, 7630, 6568, 6453, 9, 11098, 6, 26545, 6, 8, 657, 6, 442, 24, 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 ]	[ 57211, 51528, 50984, 51050, 52222, 50900, 52335, 50871, 52151, 50877, 52222, 51201, 51445, 51284, 51445, 50415, 51201, 51445, 51284, 51445, 50426, 51093, 56919, 51093, 51628, 50798, 51252, 51113, 50991, 50433, 51113, 62478, 51088, 73048, 75351, 51955, 50833, 51154, 51191, 50451, 51154, 51191, 51528, 50984, 51050, 52062, 50900, 52222, 50916, 52151, 50877, 52222, 51266, 51445, 51284, 51445, 50415, 51266, 51445, 51284, 51445, 50426, 51093, 66086, 75186, 51974, 51252, 51113, 50991, 50433, 51113, 62478, 51088, 73048, 75351, 51955, 50854, 51154, 50943, 50451, 51154, 50943, 51528, 51123, 51050, 51939, 50900, 52062, 50956, 52071, 50877, 52062, 51395, 51445, 51284, 51445, 50415, 51395, 51445, 51284, 51445, 50426, 51093, 60262, 70999, 51974, 51252, 51093, 51116, 50433, 51093, 70595, 51107, 63178, 68214, 51955, 50854, 51093, 66794, 51093, 54424, 51165, 53380, 50457, 51165, 53380, 51528, 51123, 51234, 52222, 50899, 52062, 50871, 52222, 50906, 52222, 51107, 51445, 51201, 51445, 50415, 51107, 51445, 51201, 51445, 51974, 51252, 51955, 50854, 51528, 50984, 51234, 51244, 50899, 52168, 50871, 51803, 50906, 51742, 51107, 51542, 51201, 51445, 50415, 51107, 51542, 51201, 51445, 50426, 51107, 51226, 50427, 51107, 51226, 51974, 51252, 51107, 51623, 50433, 51107, 77787, 51394, 51244, 50439, 51394, 79098, 51266, 63178, 51266, 50812, 51955, 50833, 51201, 51016, 50451, 51201, 51016, 51528, 50984, 51050, 52015, 50900, 52222, 50871, 51939, 50877, 51662, 51201, 51445, 51284, 51445, 50415, 51201, 51445, 51284, 51445, 50426, 51093, 63024, 51093, 50854, 51974, 51252, 51093, 50991, 50433, 51093, 62478, 51165, 64681, 72881, 51955, 50854, 51113, 60720, 51113, 51923, 51088, 68826, 51088, 50874, 51528, 51123, 51085, 51749, 50997, 79304, 51244, 50916, 51244, 50861, 51244, 51299, 51351, 51266, 51353, 51182, 51353, 50415, 51299, 51351, 51266, 51353, 51182, 51353, 51974, 51252, 51088, 51221, 50433, 51088, 78373, 51113, 63178, 51113, 50812, 51955, 50854, 51088, 64847, 51088, 52643, 51154, 51717, 50457, 51154, 51717, 51528, 55991, 51604, 50297, 51535, 50900, 51172, 50871, 51534, 50877, 51534, 51140, 51381, 51093, 52337, 51201, 52337, 51284, 52337, 50415, 51093, 52337, 51201, 52337, 51284, 52337, 56952, 54689, 50920, 70160, 50813, 51974, 58923, 67652, 51412, 50871, 51412, 50877, 51412, 51140, 64164, 50920, 53819, 50297, 54478, 50920, 67652, 50874, 51955, 57654, 53819, 50304, 50827, 58529, 50877, 56711, 50920, 51126, 51150, 50844, 51528, 58923, 53819, 50304, 51391, 50871, 51391, 50877, 51391, 51140, 51134, 56952, 54689, 50920, 70160, 50813, 51974, 63873, 67652, 51534, 50871, 51412, 50877, 51412, 51140, 66744, 50920, 60159, 50920, 51000, 51955, 55718, 53819, 50304, 57712, 58887, 50974, 51150, 54194, 50920, 53529, 50292, 50851, 51150, 50810, 51528, 58923, 53819, 50297, 51749, 50900, 59704, 51412, 50877, 51534, 51140, 50915, 56952, 52386, 50304, 50851, 53956, 52710, 50920, 70160, 50813, 60906, 58529, 60124, 53956, 55658, 51236, 50874, 51974, 63873, 67652, 51412, 50871, 51363, 79725, 51140, 51115, 53956, 53912, 50920, 53819, 50297, 51878, 50444, 51270, 54714, 74623, 50827, 54142, 50808, 51955, 50378, 52638, 54714, 53819, 50304, 61858, 59389, 50905, 51216, 50810, 53091, 51204, 50456, 51383, 54714, 74623, 50874, 51150, 50844, 51528, 66048, 53819, 50297, 51749, 50900, 51381, 50916, 51419, 50877, 51542, 51140, 51003, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 55658, 51236, 50874, 51974, 63873, 67652, 51534, 50916, 51412, 50877, 51412, 51140, 51115, 53956, 53912, 50920, 53819, 50297, 51878, 50444, 51270, 54714, 67652, 50874, 54142, 50805, 51955, 50378, 52638, 54714, 53819, 50304, 50822, 50916, 59389, 50892, 51216, 50810, 53091, 51141, 50456, 51383, 54714, 53529, 50304, 50827, 51150, 50844, 51528, 66048, 53819, 50297, 51477, 50900, 71326, 61817, 50995, 51140, 51351, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 55658, 51236, 50874, 51974, 63873, 67652, 51412, 50956, 51363, 79725, 51140, 51003, 53956, 53912, 50920, 53819, 50297, 63236, 51270, 54714, 67652, 50874, 51216, 50844, 54142, 50808, 51955, 50378, 52638, 54714, 53819, 50304, 50874, 76599, 62804, 53091, 55069, 51383, 54714, 51126, 51216, 50845, 51528, 58923, 53819, 50290, 51542, 50899, 51534, 50871, 51534, 50906, 51534, 51261, 51134, 54963, 51894, 56952, 54689, 50920, 70160, 55863, 51236, 50874, 51974, 63873, 52666, 50302, 51534, 50899, 51412, 50871, 50995, 51261, 51397, 50438, 50920, 53819, 50290, 51381, 50444, 51270, 54714, 52666, 50302, 50827, 51955, 50379, 52638, 54714, 53819, 50302, 50874, 50899, 60540, 54771, 51383, 54714, 53529, 50302, 50874, 51528, 58923, 53819, 50302, 51363, 50899, 60138, 50915, 51261, 51351, 56952, 50971, 53136, 53184, 50997, 55191, 50920, 70160, 50813, 53136, 53847, 51236, 50874, 51974, 63873, 52666, 50302, 51363, 50899, 58134, 50915, 51261, 51397, 53136, 53912, 50920, 60159, 51270, 54714, 52666, 50302, 50827, 54173, 50808, 51955, 50378, 52638, 54714, 53819, 50302, 73353, 60094, 50822, 53775, 66313, 51383, 54714, 51126, 51261, 50810, 51528, 66048, 53819, 50297, 51627, 50900, 51419, 50871, 61817, 50995, 51140, 51134, 53956, 55099, 50920, 50971, 54240, 53890, 50920, 70160, 50813, 54963, 55658, 51236, 50874, 51974, 63873, 67652, 51412, 50871, 60268, 50981, 51140, 51397, 54963, 51413, 50438, 50920, 60159, 51270, 54714, 67652, 50827, 51955, 50378, 52638, 54714, 53819, 50304, 64000, 58887, 56711, 51383, 54714, 51126, 51140, 50844, 54963, 50812, 51528, 66048, 53819, 50299, 51627, 50899, 51391, 50861, 51391, 60124, 50906, 51391, 51098, 51351, 54240, 51116, 56952, 54689, 50920, 70160, 50813, 54240, 53847, 51236, 50874, 51974, 63873, 74695, 51419, 50861, 51419, 50906, 51419, 51098, 51790, 54240, 78583, 50920, 60159, 51270, 54714, 51000, 53956, 50849, 51955, 50378, 52638, 54714, 53819, 50306, 50874, 50861, 64290, 50905, 54142, 53702, 51383, 54714, 53529, 50306, 50874, 53956, 51991, 51528, 58923, 53819, 50292, 51592, 50900, 51542, 50916, 51542, 50861, 51381, 51150, 51134, 56952, 54689, 50920, 70160, 55863, 51236, 50874, 51974, 63873, 67652, 72272, 59055, 51097, 53691, 66744, 50920, 60159, 51270, 54714, 51000, 51955, 50379, 52638, 54714, 53819, 50304, 50822, 50916, 58399, 50892, 51150, 57414, 51383, 54714, 53529, 50304, 50874, 51528, 58923, 53819, 50297, 51243, 50900, 51419, 50871, 51391, 50877, 51391, 51793, 51134, 56952, 50971, 53956, 52450, 50920, 70160, 50813, 53956, 53847, 51236, 50874, 51974, 63873, 67652, 60367, 58421, 50981, 51793, 51183, 53956, 53912, 50920, 60159, 51270, 54714, 51000, 54142, 50849, 51955, 50378, 52638, 54714, 53819, 50304, 61858, 59389, 50892, 53091, 51204, 50456, 51383, 54714, 53529, 50304, 50827, 51150, 50844, 51528, 66048, 53819, 50297, 77132, 51542, 50916, 51391, 50877, 51419, 51793, 51134, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 53847, 51236, 50874, 51974, 63873, 67652, 76371, 61817, 50995, 51793, 51047, 53956, 53912, 50920, 60159, 51270, 54714, 51000, 54142, 50849, 51955, 50378, 52638, 54714, 53819, 50304, 63784, 59389, 51412, 53091, 55069, 51383, 54714, 53529, 50304, 50822, 51150, 50810, 51528, 66048, 53819, 50297, 51592, 50900, 51542, 50956, 51419, 50877, 51419, 51793, 51452, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 53847, 51236 ]
[ 0, 250, 15352, 30054, 11057, 1011, 625, 4246, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 278, 11, 10, 23667, 27841, 139, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2214, 6, 11, 5, 762, 9, 211, 3694, 6, 7630, 6568, 10, 19448, 8, 1372, 6711, 19, 10, 11602, 9, 1619, 4780, 4, 20, 33215, 16739, 9, 1918, 406, 6, 274, 401, 6, 163, 401, 6, 163, 428, 12361, 6, 8, 83, 401, 3639, 7, 63, 13363, 28191, 20299, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 51039, 57018, 51224, 50838, 51450, 51006, 51899, 50825, 53458, 71941, 51006, 51206, 51824, 50415, 50997, 50918, 51544, 57700, 51006, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50899, 60424, 58204, 52446, 51150, 66099, 71823, 51006, 50439, 51085, 51077, 50445, 50899, 68368, 59460, 50889, 52320, 50865, 51224, 71823, 51006, 53462, 52782, 51065, 76172, 77916, 54389, 71941, 71823, 51006, 76945, 51343, 74367, 50876, 51343, 51279, 51077, 61889, 51006, 51544, 57700, 51006, 51974, 51737, 51553, 63936, 50900, 59006, 52446, 51389, 66099, 51006, 51224, 71823, 51006, 50439, 51120, 63883, 51065, 57299, 51289, 57202, 57700, 51006, 53462, 52782, 53458, 71941, 71823, 51006, 50415, 51214, 51077, 50421, 51026, 50938, 51544, 57700, 51006, 50427, 50997, 72068, 50899, 50952, 51974, 52782, 50816, 51006, 51065, 64945, 50871, 59646, 51461, 66099, 71823, 51006, 50439, 50916, 51442, 50292, 50889, 50445, 50861, 50879, 52320, 50865, 51224, 71823, 51006, 50451, 50997, 56036, 60446, 63254, 54454, 53462, 52782, 51065, 76172, 50899, 51896, 50861, 51896, 50876, 51896, 51027, 51623, 53202, 67400, 71823, 61784, 50816, 51006, 51544, 57700, 57018, 51273, 67880, 51737, 51553, 50838, 51450, 51006, 51224, 71823, 51006, 69332, 51710, 50294, 51077, 50900, 63883, 51065, 52985, 51289, 57202, 57700, 51006, 53462, 51737, 53458, 71941, 71823, 51006, 50415, 51214, 60751, 51026, 50879, 51544, 57700, 51006, 50427, 51279, 50807, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50997, 56535, 50899, 65582, 50871, 54773, 51461, 79544, 71823, 51006, 50439, 50916, 70928, 51336, 50447, 50861, 51013, 52320, 50865, 51224, 71823, 51006, 50455, 50997, 70660, 70866, 73988, 51013, 53462, 52782, 51065, 51006, 62987, 67400, 71823, 51006, 76047, 66677, 69797, 75291, 54994, 50816, 51006, 51544, 53592, 63794, 50871, 54729, 51273, 59084, 51737, 51553, 63936, 61293, 50436, 50871, 50859, 51450, 51006, 51224, 71823, 51006, 50439, 50916, 74817, 70339, 56027, 51065, 51006, 50445, 50871, 55149, 51140, 51157, 51289, 57202, 57700, 51006, 73867, 50879, 53462, 52782, 50457, 50877, 70886, 62926, 54389, 71941, 71823, 51006, 50415, 51040, 50983, 50989, 50983, 51028, 50983, 51279, 51077, 51026, 51077, 51544, 57700, 51006, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50900, 65901, 70002, 57222, 51098, 66099, 71823, 51006, 50439, 51026, 70425, 51279, 50865, 52320, 60858, 58253, 70792, 51026, 74824, 57341, 51923, 50798, 51737, 51065, 67590, 50900, 62352, 51048, 50916, 50983, 56098, 67400, 71823, 51006, 74354, 51013, 61889, 70631, 51279, 50865, 51544, 57700, 51006, 50427, 51026, 51828, 50305, 60826, 54729, 51560, 59084, 52782, 51553, 51006, 50433, 51026, 51710, 50305, 51364, 50956, 51364, 51450, 51006, 51224, 71823, 51006, 50439, 51026, 60021, 51065, 51006, 50445, 51279, 55178, 51098, 51157, 51289, 53284, 53592, 70792, 51026, 50889, 53462, 52782, 54204, 67400, 51006, 51206, 51824, 50415, 50997, 50983, 50421, 50877, 56730, 55673, 50795, 51544, 57700, 57018, 51098, 59084, 52782, 50816, 51006, 51065, 51006, 50433, 50997, 51623, 51450, 71823, 51006, 74933, 67734, 57341, 63831, 50918, 50445, 50931, 55149, 51150, 70504, 50865, 51224, 71823, 51006, 50451, 50951, 51013, 53462, 52782, 51065, 51006, 60200, 58747, 71823, 51006, 50415, 50989, 70215, 50918, 51050, 51077, 51027, 51077, 50899, 51077, 50876, 54994, 50816, 51006, 51544, 53592, 53052, 51389, 59084, 52782, 51553, 51006, 51450, 51006, 51224, 71823, 51006, 50439, 50989, 73470, 74886, 60865, 51065, 57299, 51216, 51157, 51289, 57202, 57700, 51006, 53462, 52782, 50457, 51026, 50795, 53458, 71941, 71823, 51006, 74354, 57952, 64325, 51141, 50871, 51141, 50421, 50877, 57253, 50879, 51544, 57700, 51006, 50427, 50906, 60446, 50879, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50997, 51623, 50916, 51623, 50877, 77787, 51461, 66099, 58253, 70381, 50876, 59900, 62902, 50902, 52297, 50321, 51013, 52320, 50865, 51224, 71823, 51006, 50455, 50968, 52297, 50323, 51013, 53462, 52782, 51065, 51006, 53202, 67400, 71823, 51006, 50415, 50989, 50818, 51050, 50918, 51027, 65842, 76971, 50861, 69020, 60055, 50816, 51006, 51544, 57700, 57018, 51098, 59084, 52782, 51553, 51006, 50433, 50871, 50805, 51450, 51006, 51224, 71823, 51006, 50439, 51120, 51077, 50900, 63883, 51065, 57299, 51216, 51157, 51289, 57202, 57700, 51006, 53462, 52782, 54204, 67400, 51006, 51335, 51824, 74354, 51141, 76233, 50968, 51141, 50997, 51077, 50899, 51077, 51544, 53592, 53052, 51140, 59084, 52782, 50816, 51006, 51065, 51006, 50433, 50871, 56876, 58050, 50805, 51450, 58253, 67446, 50997, 51623, 50899, 51623, 50450, 51261, 51204, 50791, 50865, 51224, 71823, 51006, 50451, 74367, 76233, 50968, 51141, 53462, 52782, 51065, 51006, 51528, 71823, 61784, 51140, 51134, 50816, 51006, 50421, 55179, 50877, 55673, 50805, 51544, 57700, 51006, 73343, 50889, 51974, 52782, 51553, 51006, 50433, 51315, 61086, 51493, 67400, 71823, 51006, 51335, 51824, 50439, 50899, 51141, 50965, 51141, 51028, 50983, 50968, 60865, 50816, 51006, 52320, 50865, 51553, 59781, 51493, 59084, 74728, 50866, 50457, 51040, 74830, 57367, 50805, 56703, 52192, 50843, 61784, 50816, 51006, 50421, 51197, 67297, 51560, 59084, 51006, 51206, 51254, 50856, 51006, 50427, 50956, 51141, 50861, 51343, 50973, 51343, 50931, 57345, 51224, 61449, 51224, 58867, 51261, 67400, 74728, 50866, 50445, 50956, 64294, 56190, 57367, 50805, 51899, 52192, 50843, 59781, 50816, 76172, 51120, 51623, 54079, 67400, 51006, 51335, 51006, 76945, 51141, 50989, 51343, 50973, 51274, 51114, 60055, 51326, 52192, 51694, 52782, 50791, 50865, 51326, 57018, 51216, 59084, 52782, 51553, 51006, 50433, 50900, 52014, 50310, 58654, 58050, 50805, 51450, 51006, 51224, 71823, 58867, 51065, 67446, 51120, 64712, 51273, 51109, 50816, 74728, 57700, 51006, 50451, 63365, 50989, 60939, 51608, 50322, 50889, 53462, 52782, 53458, 71941, 51006, 51206, 51254, 76751, 72341, 76110, 52297, 50299, 51077, 51544, 57700, 51006, 73343, 57631, 58835, 50889, 51974, 52782, 50816, 51006, 51065, 56480, 51150, 56902, 71823, 51006, 50439, 50899, 71063, 67782, 50805, 51085, 51077, 50445, 50877, 52610, 51461, 70956, 50865, 51224, 71823, 51006, 50451, 50899, 68368, 57631, 53312, 50798, 52782, 51065, 51006, 54389, 71941, 71823, 51006, 76945, 64464, 69020, 50983, 51279, 51077, 61889, 51006, 51544, 57700, 51006, 51974, 52782, 51553, 51006, 50433, 50900, 51141, 50871, 68499, 53240, 56902, 51006, 51224, 71823, 51006, 50439, 51120, 72758, 51065, 57299, 51389, 51253, 51289, 57202, 57700, 51006, 53462, 52782, 50457, 61795, 53458, 71941, 71823, 51006, 65882, 59460, 64292, 52530, 50318, 50807, 50421, 61795, 51544, 57700, 51006, 73343, 58421, 72341, 52530, 50318, 51016, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 51085, 74492, 52446, 53691, 56902, 58253, 70381, 50916, 57631, 62542, 64953, 50445, 51085, 74492, 52596, 51150, 70956, 50865, 51224, 71823, 51006, 50451, 50916, 57631, 56793, 63402, 50889, 53462, 52782, 51065, 76172, 51027, 51141, 54389, 54070, 71823, 51006, 74354, 51189, 50876, 78776, 67729, 51140, 51134, 50816, 51006, 51544, 53592, 63794, 50900, 51141, 51974, 52782, 51553, 51006, 50433, 51120, 68036, 60939, 61739, 53912, 51273, 79544, 51006, 51224, 71823, 58867, 50816, 52192, 51065, 51006, 50445, 50900, 62159, 60452, 63681, 50893 ]
[ 0, 250, 251, 6, 2635, 12, 20764, 15855, 2125, 11, 155, 73, 306, 86, 6, 278, 11, 5, 762, 9, 83, 3694, 4, 20, 21979, 8669, 1974, 10, 19448, 8, 5679, 26709, 33301, 6, 7630, 14805, 41, 11653, 8, 25306, 5466, 4, 20, 15229, 1575, 10, 33215, 16739, 9, 230, 6, 274, 6, 211, 119, 401, 6, 381, 6, 8, 381, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50624, 51444, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 51131, 60010, 50947, 53467, 50624, 50947, 58067, 50947, 52329, 59205, 50427, 50624, 50428, 50947, 54056, 50947, 58607, 50624, 50947, 52359, 51131, 57775, 50947, 53307, 50947, 58291, 50947, 52444, 61337, 50440, 50929, 54790, 50929, 58344, 50624, 50443, 50929, 52510, 51131, 59830, 50929, 53401, 50929, 59248, 71705, 64857, 51161, 50416, 50970, 54745, 50970, 59182, 50970, 52628, 51131, 60010, 50970, 53467, 50970, 58067, 50970, 52329, 59241, 50428, 50970, 54056, 50970, 58607, 50970, 52359, 51131, 57775, 50970, 53307, 50970, 58291, 50970, 52444, 50998, 61187, 50624, 50440, 50929, 54790, 50929, 59586, 50929, 52510, 51131, 59830, 50929, 53401, 50929, 59248, 71705, 64857, 51161, 50416, 50947, 54745, 50947, 59748, 50624, 50419, 50947, 52628, 51131, 60010, 50947, 53467, 50947, 58067, 50947, 52329, 59205, 50428, 50947, 54056, 50947, 58607, 50947, 52359, 51131, 57775, 50947, 53307, 50947, 58291, 50947, 52444, 59205, 50440, 50947, 54790, 50947, 59586, 50947, 52510, 51131, 59830, 50947, 53401, 50947, 59248, 67640, 64857, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 51131, 60010, 50624, 50947, 53467, 50947, 58067, 50947, 52329, 59205, 50428, 50947, 54056, 50947, 58607, 50947, 52359, 51131, 57775, 50947, 53307, 50947, 58291, 50947, 52444, 61675, 50440, 50624, 51064, 54790, 51064, 59586, 51064, 52510, 50624, 56422, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 51034, 51504, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 56422, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 56422, 50434, 51032, 53307, 51032, 58291, 51032, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 51064, 52510, 56422, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 51034, 51504, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 56422, 50422, 50947, 53467, 50947, 58067, 50947, 52329, 59205, 50428, 50947, 54056, 50947, 58607, 50947, 52359, 56422, 50434, 50947, 53307, 50947, 59079, 50624, 50437, 50947, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 51064, 52510, 56422, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 51034, 51504, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 56422, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 50624, 56422, 50434, 51032, 53307, 51032, 58291, 51032, 52444, 57304, 50440, 51032, 54790, 51032, 59586, 51032, 52510, 56422, 50446, 51032, 53401, 51032, 59248, 70903, 51034, 51504, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 56422, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 56422, 50434, 51032, 53307, 51032, 59079, 50624, 50437, 51032, 52444, 57304, 50440, 51032, 54790, 51032, 59586, 50624, 51032, 52510, 56422, 50446, 51032, 53401, 51032, 59248, 70903, 51034, 51246, 51161, 50416, 50624, 51438, 54745, 51438, 59182, 51438, 52628, 59205, 50422, 51438, 53467, 51438, 58067, 51438, 52329, 62978, 50428, 51438, 54056, 51438, 58607, 51438, 52359, 50970, 57775, 51438, 53307, 51438, 58291, 51438, 52444, 60502, 50440, 51292, 54790, 51292, 59586, 51292, 52510, 59205, 50446, 51292, 53401, 51292, 59248, 51292, 50809, 51034, 51246, 51161, 50416, 51067, 54745, 51067, 59182, 51067, 52628, 59205, 50421, 50624, 50422, 51067, 53467, 51067, 58067, 50624, 51067, 52329, 63139, 50428, 51067, 54056, 51067, 58607, 51067, 52359, 59205, 50433, 50624, 50434, 51067, 53307, 51067, 58291, 50624, 51067, 52444, 51207, 65213, 51292, 54790, 51292, 59586, 51292, 52510, 51064, 59513, 50624, 50446, 51292, 53401, 51292, 59248, 51292, 50809, 80264, 51161, 50416, 51067, 54745, 51067, 59182, 51067, 52628, 50998, 60010, 51067, 53467, 50624, 51292, 58067, 51067, 52329, 57304, 50428, 51316, 54056, 51316, 58607, 51316, 52209, 50998, 57775, 51316, 53307, 51316, 58291, 51316, 52444, 57304, 50440, 51316, 54790, 51316, 59586, 51316, 52510, 50998, 59830, 51316, 53401, 50624, 51316, 59248, 51316, 50809, 80264, 51161, 50416, 51316, 54745, 51316, 59182, 51316, 52628, 50929, 60010, 51316, 53467, 51316, 58067, 51316, 52329, 57304, 50428, 51316, 54056, 51316, 58607, 51316, 52209, 50929, 57775, 51316, 53307, 51316, 58291, 50624, 51316, 52444, 57304, 50440, 51316, 54790, 51316, 59586, 51316, 52510, 50624, 50929, 59830, 51316, 53401, 50624, 51316, 59248, 51316, 50809, 64857, 51161, 50416, 51549, 54745, 51549, 59182, 51549, 52628, 51078, 60010, 51549, 53467, 51549, 58067, 50624, 51549, 52329, 57304, 50428, 51549, 54056, 51549, 58607, 51549, 52359, 50624, 51078, 57775, 50624, 51549, 53307, 51549, 58291, 50624, 51549, 52444, 57304, 50440, 51067, 54790, 51067, 58344, 50624, 50443, 51067, 52510, 51078, 59830, 51067, 53401, 51067, 59248, 50624, 73369, 51034, 52028, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 59241, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 50960, 57775, 51032, 53307, 51032, 58291, 51032, 52444, 63139, 50440, 51067, 54790, 51067, 59586, 51067, 52510, 59241, 50446, 51067, 53401, 51067, 59248, 73369, 76004, 51161, 50416, 51032, 54745, 51032, 59748, 50624, 50419, 51032, 52628, 57304, 50422, 51032, 53467, 51067, 58067, 51032, 52329, 61675, 50428, 51064, 54056, 51064, 58607, 51064, 52209, 59241, 50433, 50624, 50434, 51064, 53307, 51064, 58291, 51064, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 50624, 51064, 52510, 59241, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 76004, 75189, 50624, 50416, 51064, 54745, 51064, 59182, 51064, 52628, 50624, 59241, 50422, 51064, 53467, 51064, 58067, 51064, 52329, 61675, 50428, 50624, 51064, 54056, 51064, 58607, 51064, 52209, 50960, 57775, 51064, 53307, 50624, 51064, 58291, 51064, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 51064, 52510, 59241, 50446, 50624, 51064, 53401, 51064, 59248, 51064, 50809, 76004, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 59241, 50422, 50947, 53467, 50947, 58067, 50947, 52329, 61337, 50428, 50947, 54056, 50947, 58607, 50947, 52209, 50960, 57775, 50947, 53307, 50624, 50947, 58291, 50624, 50947, 52444, 61337, 50440, 50929, 54790, 50929, 59586, 50929, 52510, 59241, 50446, 50929, 53401, 50929, 59248, 50624, 71705, 51034, 53271, 51161, 50416, 50970, 54745, 50970, 59182, 50970, 52628, 51846, 60010, 50970, 53467, 50970, 58067, 50970, 52329, 59241, 50428, 50970, 54056, 50970, 57766, 50624, 50431, 50970, 52359, 51846, 57775, 50970, 53307, 50970, 58291, 50970, 52444, 59241, 50440, 50929, 54790, 50929, 59586, 50929, 52510, 51846, 59830, 50929, 53401, 50624, 50929, 59248, 71705, 51034, 50624, 52012, 51161, 50416, 50970, 54745, 50970, 59182, 50970, 52628, 51131, 60010, 50970, 53467, 50929, 58067, 50970, 52329, 61728, 50428, 50998, 54056, 50998, 58607, 50998, 52359, 51131, 57775, 50998, 53307, 50998, 58291, 50998, 52444, 61728, 50440, 50998, 54790, 50998, 59586, 50998, 52510, 51131, 59830, 50998, 53401, 50998, 59248, 68241, 80264, 51161, 50416, 50998, 54745, 50998, 59182, 50998, 52628, 51131, 60010, 50624, 50998, 53467, 50998, 58067, 50624, 50998, 52329, 61728, 50428, 50998, 54056, 50998, 58607, 50998, 52359, 51131, 57775, 50998, 53307, 50998, 58291, 50998, 52444 ]
[ 0, 250, 5679, 26709, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 26602, 12547, 6, 38668, 22052, 6, 38668, 483, 6, 38668, 20535, 6, 8, 13305, 1045, 10, 2635, 6, 2369, 18795, 12, 3341, 5466, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 1812, 741, 1685, 6, 4246, 10, 33215, 16739, 9, 274, 6, 1918, 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 ]	[ 57448, 51716, 50914, 52009, 50914, 52547, 55973, 51716, 50914, 52009, 50914, 52547, 55965, 51384, 50795, 51716, 50914, 52009, 50914, 52547, 56157, 51811, 51798, 51304, 50795, 51716, 50914, 52009, 50914, 52547, 56934, 51384, 50795, 50799, 51394, 50918, 52072, 50914, 53034, 50914, 52547, 55973, 52072, 50914, 53034, 50914, 52547, 55965, 51201, 50918, 52072, 50914, 53034, 55441, 52072, 50914, 53034, 50914, 50799, 51716, 50914, 52009, 50914, 52547, 55973, 51716, 50914, 52009, 50914, 52547, 55965, 51384, 50795, 51716, 50914, 52009, 50914, 52547, 56157, 51811, 51798, 51304, 50795, 51716, 50914, 52009, 50914, 52547, 56934, 51384, 50795, 50799, 51394, 50918, 52072, 50914, 53034, 50914, 52547, 55973, 52072, 51486, 53034, 51486, 52547, 51486, 50438, 51690, 50918, 50799, 53949, 51103, 54638, 51103, 59327, 51103, 51201, 50918, 54064, 51103, 52016, 51103, 51716, 64050, 52479, 50845, 52452, 50845, 53949, 51103, 54638, 51103, 51638, 64096, 50795, 54064, 51103, 52016, 64486, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52696, 50845, 53079, 50845, 51154, 72233, 65283, 50914, 55285, 56934, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 50799, 53015, 51047, 51426, 50918, 50714, 50297, 50914, 65283, 50914, 56698, 55973, 50714, 50297, 50914, 65283, 50914, 56698, 55965, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 55441, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 50914, 50799, 59327, 51103, 63597, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 65283, 50914, 56586, 50914, 55285, 55965, 52479, 50845, 52452, 50845, 51638, 64096, 50795, 56586, 50914, 55285, 56157, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52452, 50845, 53079, 50845, 51251, 72233, 65283, 50914, 55285, 56934, 52452, 50845, 54205, 50845, 51251, 50795, 65518, 50799, 52696, 51422, 53512, 51422, 55014, 51486, 51154, 51161, 51093, 51161, 51821, 51486, 65283, 50914, 58314, 50914, 55285, 55973, 65283, 50914, 58314, 50914, 55285, 55965, 77030, 50914, 58314, 50914, 55390, 55441, 77030, 50914, 58314, 50914, 55390, 50914, 50799, 59327, 51103, 63597, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 65283, 50914, 56586, 50914, 55285, 55965, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 65283, 50914, 56586, 50914, 55285, 56157, 53079, 50845, 53512, 50845, 51113, 50795, 51093, 51798, 54205, 50845, 55939, 50845, 65518, 65431, 65283, 50914, 56586, 50914, 55285, 56934, 54205, 50845, 57390, 50845, 65518, 67733, 50799, 58428, 51047, 58714, 51103, 51201, 50918, 51701, 51103, 56586, 50914, 53655, 55973, 77030, 50914, 55390, 55965, 55939, 50845, 58428, 50845, 65431, 65979, 56586, 51103, 55026, 51103, 53655, 64486, 53512, 50845, 57390, 50845, 60595, 51395, 51798, 54205, 50845, 55939, 50845, 65518, 51107, 51923, 53079, 50845, 53512, 50845, 51113, 50795, 60595, 50799, 52174, 51047, 54205, 51047, 53370, 51103, 77853, 51165, 50918, 51678, 51103, 58314, 50914, 55026, 50914, 71018, 50914, 56139, 55973, 58314, 50914, 55026, 50914, 71018, 50914, 56139, 55965, 53512, 50845, 57390, 50845, 60595, 67733, 58314, 51103, 55026, 51103, 71018, 51103, 56139, 64486, 54205, 50845, 55939, 50845, 65518, 51107, 51798, 53079, 50845, 53512, 50845, 51113, 50795, 51093, 51923, 52174, 50845, 54205, 50845, 51088, 50795, 65518, 50799, 52479, 51047, 52696, 51047, 53733, 51103, 51638, 50918, 51154, 50918, 51821, 51103, 65283, 50914, 58314, 50914, 55285, 55973, 65283, 50914, 58314, 50914, 55285, 55965, 65283, 51103, 58314, 51103, 55285, 66563, 53511, 50849, 51716, 53702, 53370, 50849, 51678, 50849, 50799, 54511, 51103, 53733, 51103, 52016, 51103, 51821, 51103, 58084, 50914, 53248, 55973, 65283, 50914, 55285, 55965, 52452, 50845, 51251, 51918, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52696, 50845, 53079, 50845, 51154, 61503, 51923, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 50799, 53015, 51047, 51426, 50918, 50714, 50297, 50914, 65283, 50914, 56698, 55973, 50714, 50297, 50914, 65283, 50914, 56698, 55965, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 55441, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 50914, 50799, 53511, 51103, 55014, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 50714, 50297, 50914, 56698, 55965, 52452, 50845, 51251, 50795, 56586, 51189, 53655, 69279, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52696, 50845, 53079, 50845, 51154, 61503, 51923, 52174, 50845, 54205, 50845, 51088, 50795, 65518, 72844, 50849, 55383, 50849, 50799, 54097, 51047, 53512, 51047, 59642, 51103, 51375, 50918, 76180, 52398, 51103, 50714, 50297, 50914, 58314, 50914, 56698, 55973, 50714, 50297, 50914, 58314, 50914, 56698, 55965, 54205, 50845, 55939, 50845, 65518, 65431, 69145, 51103, 56586, 51103, 61308, 64486, 54097, 50845, 53512, 50845, 73199, 51093, 51798, 54205, 50845, 55939, 50845, 65518, 51107, 51923, 54205, 50845, 58428, 50845, 65518, 65979, 50799, 52174, 51047, 54205, 51047, 55931, 51103, 77853, 51165, 50918, 51678, 51103, 50714, 50295, 50914, 56586, 50914, 71018, 55973, 50714, 50295, 50914, 56586, 50914, 71018, 55965, 52174, 50845, 54205, 50845, 51088, 50795, 65518, 58314, 50914, 56139, 56157, 53079, 50845, 51113, 51798, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 56586, 50914, 53655, 56934, 55939, 50845, 65431, 50799, 53015, 51047, 53511, 51103, 51426, 50918, 52233, 51103, 58084, 50914, 53248, 55973, 72844, 50914, 55383, 55965, 55939, 50845, 65431, 65283, 50914, 58314, 50914, 55285, 56157, 57390, 50845, 51395, 51798, 53079, 50845, 53512, 50845, 51113, 50795, 60595, 50714, 50297, 50914, 58314, 50914, 56698, 56934, 55939, 50845, 65431, 50799, 54205, 52644, 60047, 51103, 51165, 52045, 52072, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 65283, 50914, 56586, 50914, 55285, 55965, 59327, 51103, 63597, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55441, 65283, 50914, 56586, 50914, 55285, 50914, 50799, 60047, 51103, 63597, 51103, 52072, 51103, 52547, 51103, 50714, 50297, 50914, 58314, 50914, 56698, 55973, 50714, 50297, 50914, 58314, 50914, 56698, 55965, 52696, 50845, 54205, 50845, 55014, 77364, 50795, 65518, 51821, 50849, 50714, 50297, 51103, 58314, 51103, 56698, 64486, 53079, 50845, 53512, 50845, 58714, 50849, 51113, 50795, 60595, 51701, 53794, 54205, 50845, 55939, 50845, 60047, 50849, 65518, 65431, 52072, 53702, 53512, 50845, 57390, 50845, 60047, 50849, 65518, 67733, 52072, 50849, 50799, 53079, 51047, 58428, 51047, 58714, 51103, 51113, 50918, 51201, 50918, 51701, 51103, 50714, 50294, 50914, 66417, 55973, 77030, 50914, 55390, 55965, 58714, 51189, 51701, 51189, 56586, 50914, 53655, 55441, 77030, 50914, 55390, 56934, 63597, 50849, 52547, 50849, 50799, 55931, 51103, 63597, 51103, 51678, 51103, 52547, 51103, 50714, 50295, 50914, 71018, 55973, 65283, 50914, 55285, 55965, 53015, 50845, 52174, 50845, 51426, 67583, 50795, 58314, 51103, 56139, 64486, 53015, 50845, 53079, 50845, 51426, 61503, 51798, 52174, 50845, 54205, 50845, 51088, 50795, 51165, 51923, 53512, 50845, 58758, 50845, 67733, 70446, 50799, 53079, 51047, 58428, 51047, 58714, 51103, 51113, 50918, 51201, 50918, 51701, 51103, 50714, 50294, 50914, 66417, 55973, 77030, 50914, 55390, 55965, 58714, 51189, 51701, 51189 ]
[ 0, 250, 765, 6, 20425, 5175, 3836, 37903, 11, 272, 10431, 3694, 6, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 2060, 119, 6, 3676, 1176, 406, 6, 2060, 119, 6, 8, 230, 10431, 406, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 9, 8325, 13410, 228, 2289, 6, 7630, 14805, 10, 15352, 30054, 8, 1372, 1035, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51360, 62030, 57981, 55648, 59688, 51631, 51360, 62030, 57981, 55648, 59688, 51646, 51315, 68339, 57981, 55648, 59688, 53658, 51315, 68339, 57981, 55648, 61907, 51923, 51279, 77531, 57981, 55648, 59688, 50795, 55547, 77531, 57981, 55648, 59688, 51631, 51279, 77531, 57981, 55648, 61907, 51736, 51279, 77531, 57981, 55648, 59688, 51646, 51279, 77531, 57981, 55648, 57883, 53658, 51279, 77531, 57981, 55648, 59688, 55000, 51279, 77531, 57981, 55648, 61907, 50795, 57497, 62030, 57981, 55648, 59688, 51631, 51360, 62030, 57981, 55648, 59688, 51646, 51378, 64404, 57981, 55648, 59688, 53658, 51378, 64404, 57981, 55648, 61907, 51923, 51324, 77821, 57981, 55648, 59688, 50795, 58066, 77821, 57981, 55648, 59688, 51631, 51324, 77821, 57981, 55648, 61907, 51736, 51324, 77821, 57981, 55648, 59688, 51646, 51324, 77821, 57981, 55648, 57883, 53658, 51324, 77821, 57981, 55648, 59688, 55000, 51324, 77821, 57981, 55648, 61907, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 42, 765, 2214, 1575, 10, 13305, 8, 2352, 6757, 6, 7630, 14805, 10, 19448, 8, 3722, 5466, 1969, 13, 10, 822, 50, 4149, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 272, 6, 211, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 58496, 51077, 56487, 51077, 54977, 51077, 54602, 51077, 54391, 51077, 56968, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 79721, 50876, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 54602, 70156, 57631, 50889, 50799, 54602, 51264, 57255, 51264, 54304, 51264, 50861, 51264, 50973, 51264, 50902, 51264, 50799, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 57237, 70156, 68368, 50889, 50799, 57237, 51264, 54602, 51264, 54391, 51264, 50916, 51264, 50861, 51264, 50876, 51264, 50799, 57237, 51077, 55010, 51077, 54391, 51077, 50916, 51538, 50877, 51077, 50876, 51264, 50438, 66205, 50889, 54602, 51608, 50303, 57631, 55082, 56301, 50889, 57862, 50889, 55128, 51608, 50297, 51608, 50301, 59428, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 61086, 56487, 51077, 55546, 51077, 54602, 51077, 51026, 51077, 50899, 51077, 79721, 50799, 57862, 51077, 54977, 51077, 55128, 51077, 51027, 51077, 50900, 75427, 61086, 56487, 50889, 54977, 50889, 57237, 76195, 70156, 68368, 55082, 56301, 50889, 66205, 50889, 55546, 51608, 50297, 51608, 50303, 62525, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 51264, 50438, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 50799, 50670, 50291, 51264, 56487, 51264, 55546, 51264, 54602, 51264, 51324, 51264, 51026, 51264, 50899, 51264, 50861, 51264, 50799, 58496, 51264, 56487, 51264, 54977, 51264, 54602, 51264, 51085, 51264, 51026, 51264, 50900, 51264, 50861, 51264, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 61086, 57255, 51077, 56146, 51077, 59296, 51077, 50973, 51077, 50931, 51077, 51220, 51077, 50799, 54391, 51077, 55849, 51077, 59058, 51077, 50876, 51077, 50951, 51077, 51062, 61086, 54602, 51077, 57255, 51077, 54304, 51077, 55849, 51077, 50861, 51264, 50973, 51077, 50902, 51077, 50951, 51077, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 51264, 50438, 57237, 51077, 54602, 51077, 57255, 51077, 50916, 51077, 79721, 50973, 51264, 50799, 56301, 50889, 54977, 50889, 55128, 51608, 50297, 70156, 59428, 54243, 56487, 50889, 55546, 50889, 54602, 76195, 62525, 57631, 53912, 66138, 51264, 54977, 52024, 57237, 51264, 51315, 51264, 50900, 52024, 50916, 51264, 61627, 54602, 51264, 54391, 51264, 56968, 51264, 50861, 51264, 50876, 51264, 50968, 51264, 61627, 57255, 51077, 56968, 51077, 55849, 51077, 50973, 51077, 50968, 51077, 50951, 51077, 50799, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 53912, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 55082, 54304, 50889, 55849, 50889, 59296, 61471, 51077, 50951, 51623, 51220, 51538, 50799, 58496, 51077, 56487, 51077, 54977, 51077, 54602, 51077, 54391, 51077, 56968, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 79721, 50876, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 54602, 70156, 57631, 50889, 50799, 54602, 51264, 57255, 51264, 54304, 51264, 50861, 51264, 50973, 51264, 50902, 51264, 50799, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 57237, 70156, 68368, 50889, 50799, 57237, 51264, 54602, 51264, 54391, 51264, 50916, 51264, 50861, 51264, 50876, 51264, 50799, 57237, 51077, 55010, 51077, 54391, 51077, 50916, 51538, 50877, 51077, 50876, 51264, 50438, 66205, 50889, 54602, 51608, 50303, 57631, 55082, 56301, 50889, 57862, 50889, 55128, 51608, 50297, 51608, 50301, 59428, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 61086, 56487, 51077, 55546, 51077, 54602, 51077, 51026, 51077, 50899, 51077, 79721, 50799, 57862, 51077, 54977, 51077, 55128, 51077, 51027, 51077, 50900, 75427, 61086, 56487, 50889, 54977, 50889, 57237, 76195, 70156, 68368, 55082, 56301, 50889, 66205, 50889, 55546, 51608, 50297, 51608, 50303, 62525, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 51264, 50438, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 50799, 50670, 50291, 51264, 56487, 51264, 55546, 51264, 54602, 51264, 51324, 51264, 51026, 51264, 50899, 51264, 50861, 51264, 50799, 58496, 51264, 56487, 51264, 54977, 51264, 54602, 51264, 51085, 51264, 51026, 51264, 50900, 51264, 50861, 51264, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 61086, 57255, 51077, 56146, 51077, 59296, 51077, 50973, 51077, 50931, 51077, 51220, 51077, 50799, 54391, 51077, 55849, 51077, 59058, 51077, 50876, 51077, 50951, 51077, 51062, 61086, 54602, 51077, 57255, 51077, 54304, 51077, 55849, 51077, 50861, 51264, 50973, 51077, 50902, 51077, 50951, 51077, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 51264, 50438, 57237, 51077, 54602, 51077, 57255, 51077, 50916, 51077, 79721, 50973, 51264, 50799, 56301, 50889, 54977, 50889, 55128, 51608, 50297, 70156, 59428, 54243, 56487, 50889, 55546, 50889, 54602, 76195, 62525, 57631, 53912, 66138, 51264, 54977, 52024, 57237, 51264, 51315, 51264, 50900, 52024, 50916, 51264, 61627, 54602, 51264, 54391, 51264, 56968, 51264, 50861, 51264, 50876, 51264, 50968, 51264, 61627, 57255, 51077, 56968, 51077, 55849, 51077, 50973, 51077, 50968, 51077, 50951, 51077, 50799, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 53912, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 55082, 54304, 50889, 55849, 50889, 59296, 61471, 51077, 50951, 51623, 51220, 51538, 50799, 54602, 51264, 54391, 51264, 56968, 51264, 50900, 51264, 56440, 51991, 54439, 51538, 59409, 61086, 50968, 52815, 50951 ]
[ 0, 250, 19448, 8, 15352, 30054, 5175, 25771, 2214, 14, 7630, 6568, 10, 5679, 26709, 8, 8728, 5466, 6, 4246, 10, 13305, 816, 5, 483, 33301, 7513, 30, 21072, 8, 10, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 20889, 9, 3337, 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 ]	[ 57128, 51181, 77625, 54169, 52793, 51539, 55221, 51181, 50836, 53369, 51445, 67525, 52748, 53070, 52806, 51709, 50852, 55816, 52793, 54104, 51774, 53762, 53098, 51774, 50890, 51515, 50809, 51440, 56530, 52539, 64429, 51044, 54694, 51434, 50855, 51774, 50854, 51660, 59556, 52755, 53107, 52748, 52953, 52806, 52015, 51170, 52694, 58334, 51539, 54034, 51774, 51128, 51614, 50971, 51515, 50366, 51657, 52793, 52748, 57481, 50920, 51539, 54735, 51774, 50897, 51515, 50910, 51440, 68276, 52748, 53162, 50920, 51539, 54284, 51774, 51381, 51660, 51961, 51434, 51961, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51844, 57402, 52694, 53495, 52748, 53017, 51338, 55771, 52755, 68510, 52793, 51539, 54600, 51181, 60689, 52291, 52748, 51258, 54920, 50840, 54437, 51148, 51774, 63510, 51660, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51416, 63787, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51236, 52755, 53495, 52748, 52953, 51170, 52694, 58334, 51539, 54034, 51416, 55263, 52793, 52748, 57481, 51181, 50809, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314, 50920, 51539, 54735, 51181, 56969, 52748, 53162, 50920, 51539, 54284, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51170, 52755, 58334, 51539, 54600, 51170, 54390, 52539, 52748, 51258, 57128, 51120, 51059, 51181, 50858, 53722, 51353, 51170, 58278, 54169, 52793, 51539, 55221, 51181, 50836, 53369, 51445, 67525, 52748, 53070, 52806, 51709, 50852, 55816, 52793, 54104, 51774, 53762, 53098, 51774, 50890, 51515, 50809, 51440, 56530, 52539, 64429, 51044, 54694, 51434, 50855, 51774, 50854, 51660, 59556, 52755, 53107, 52748, 52953, 51120, 50802, 52806, 52015, 51170, 52694, 58334, 51539, 54034, 51774, 51128, 51614, 50971, 51515, 50366, 51657, 52793, 52748, 57481, 50920, 51539, 56068, 51027, 61870, 51774, 50897, 51515, 50910, 51440, 68276, 52748, 53162, 50920, 51539, 59843, 51027, 51066, 50447, 51774, 51381, 51660, 51961, 51434, 51961, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51844, 57402, 52694, 53495, 52748, 53017, 51027, 50911, 51338, 55771, 52755, 68510, 52793, 51539, 54600, 51181, 60689, 52291, 52748, 51258, 57551, 51460, 51416, 50840, 54437, 51148, 51774, 63510, 51660, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51416, 63787, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 51050, 51045, 50920, 53098, 51315, 55674, 52539, 64429, 51044, 54694, 51236, 52755, 53495, 52748, 52953, 51120, 52827, 51170, 52694, 58334, 51539, 54034, 51416, 55263, 52793, 52748, 57481, 51181, 50809, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314, 50920, 51539, 54735, 51181, 56969, 52748, 53162, 50920, 51539, 54284, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51170, 52755, 58334, 51539, 54600, 51170, 54390, 52539, 52748, 51258, 52894, 50858, 51515, 53486, 51440, 52140, 51607, 51939, 53369, 51313, 51170, 53704, 52793, 51539, 55221, 51132, 59719, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 51027, 55674, 52539, 64429, 51044, 54694, 51236, 52755, 53107, 52748, 52953, 51170, 52694, 58334, 51539, 58803, 50900, 75828, 51170, 52793, 52748, 57481, 50920, 51539, 56068, 50899, 51761, 50441, 51774, 51446, 50920, 52748, 53162, 50920, 51539, 54284, 51515, 51241, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51338, 50851, 51440, 51534, 51236, 52694, 53495, 52748, 53017, 50900, 50802, 51132, 50810, 51607, 66637, 52755, 68510, 52793, 51539, 54600, 51132, 60689, 52291, 52748, 51258, 56310, 51460, 51132, 51116, 53369, 50995, 51774, 57941, 51515, 53838, 51440, 50932, 51607, 51108, 51170, 53704, 52793, 51539, 55221, 67525, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 65152, 51086, 51653, 50426, 51137, 51116, 52769, 50995, 51614, 57941, 51434, 53838, 51808, 50932, 51669, 51108, 50913, 52539, 64429, 51044, 54694, 51236, 52755, 53495, 52748, 52953, 51026, 75624, 52694, 58334, 51539, 54034, 51170, 52793, 52748, 57481, 51027, 51551, 51181, 50840, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314, 50920, 51539, 54735, 51181, 57649, 52748, 53162, 50920, 51539, 54284, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51170, 52755, 58334, 51539, 54600, 51349, 55263, 54390, 52539, 52748, 51258, 53447, 50862, 51614, 50886, 51515, 50886, 51440, 65302, 53704, 52793, 51539, 55614, 50899, 51059, 50417, 51181, 50812, 51614, 50862, 51515, 50862, 51440, 67195, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51844, 61150, 52755, 53107, 52748, 52953, 50899, 50923, 51181, 64400, 52694, 58334, 51539, 54034, 51132, 61757, 52793, 52748, 51258, 55203, 51552, 51132, 54857, 51539, 54735, 77476, 53369, 51448, 50920, 52748, 53162, 51774, 51310, 50920, 51539, 54284, 51515, 54211, 51440, 51542, 51607, 51381, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51027, 51138, 51170, 52755, 68510, 52793, 51539, 54600, 67525, 52748, 51258, 56310, 51573, 51132, 50840, 53369, 51148, 51774, 63510, 51515, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51132, 63787, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51026, 56010, 52755, 53495, 52748, 52953, 51050, 50879, 51170, 52694, 58334, 51539, 54034, 51416, 54539, 55263, 52793, 54114, 51315, 50893, 51416, 50862, 51774, 50886, 51660, 50886, 51434, 55365, 51539, 55201, 51416, 50812, 51774, 50862, 51660, 50862, 51434, 55692, 52748, 53162, 51085, 51496, 50920, 51539, 54914, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51137, 61150, 52694, 53495, 52748, 53017, 51416, 64400, 52755, 58334, 51539, 54600, 52474, 61757, 54390, 52539, 52748, 51258, 54868, 51761, 51181, 67195, 53704, 52793, 51539, 55221, 51181, 50812, 53722, 51448, 67525, 52748, 53070, 51614, 51218, 50852, 55816, 52793, 54104, 51515, 51542, 51440, 51241, 51669, 51381, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51844, 61150, 52755, 53107, 52748, 52953, 51027, 51388, 51181, 64400, 52694, 58334, 51539, 54034, 51132, 61757, 52793, 52748, 57481, 51026, 51761, 51416, 54857, 51539, 54735, 78049, 54437, 51448, 50920, 52748, 53162, 51660, 51218, 50920, 51539, 54284, 51440, 51542, 51607, 51241, 52043, 51381, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51050, 51012, 51170, 52755, 68510, 52793, 51539, 54600, 67525, 52748, 51258, 57551, 51345, 51349, 50840, 56090, 51148, 51774, 63510, 51660, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51349, 63787, 52291, 52748, 53405, 51236, 52793, 51539, 53744, 51120, 51460, 50920, 52748, 50928, 51302, 55304, 52245, 52539, 50829, 54321, 54121, 52755, 53495, 53962, 51085, 50911, 51170, 52694, 58334, 51539, 53908, 51349, 59719, 54212, 52079, 54114, 51120, 51685, 51181, 50809, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314 ]
[ 0, 713, 5175, 2214, 16, 10, 15352, 30054, 8, 2635, 12, 20764, 3251, 149, 2933, 8, 980, 219, 2369, 3866, 22179, 4, 16241, 212, 9590, 8, 483, 6, 2382, 3459, 8669, 6, 13602, 6757, 6, 8, 21072, 283, 561, 7, 1045, 41, 20425, 5466, 4, 8504, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 20902, 12701, 4450, 20889, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 3676, 406, 428, 245, 73, 495, 6, 274, 406, 6, 8, 3676, 1176, 406, 16, 5705, 25614, 4560, 6, 2754, 25, 10, 542, 4945, 15019, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 50796, 52591, 53378, 57826, 50426, 52408, 54691, 50435, 53378, 63070, 50444, 53378, 53306, 50450, 52408, 54386, 50459, 53378, 64399, 52591, 53378, 53313, 50426, 52408, 53313, 50435, 53378, 58090, 50444, 53378, 51737, 50450, 52408, 51737, 50459, 53378, 54521, 52591, 53378, 61390, 52408, 51387, 50435, 53378, 53096, 50444, 53378, 59914, 52408, 51166, 50459, 53378, 52034, 52591, 53378, 58069, 52408, 69783, 53378, 51645, 50444, 53378, 52985, 52408, 56517, 53378, 51534, 51755, 52244, 53378, 50905, 54110, 51973, 52408, 60745, 52674, 53378, 51363, 51658, 52284, 53378, 50845, 54110, 52116, 52408, 55944, 52937, 53378, 51255, 51755, 52244, 53378, 50901, 54110, 51973, 52408, 55937, 52674, 53378, 51124, 51658, 52284, 53378, 50849, 54110, 52116, 52408, 52862, 52937, 53378, 50991, 51755, 52244, 53378, 50795, 54110, 51973, 52408, 55855, 52674, 53378, 51235, 51658, 52284, 53378, 50893, 54110, 52116, 52408, 54273, 52937, 53378, 51427, 51755, 52244, 53378, 50911, 54110, 51973, 52408, 57169, 52674, 53378, 51460, 51658, 52284, 53378, 51012, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 54110, 50803, 51755, 79597, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 54110, 50803, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 52591, 53378, 52038, 52408, 54241, 53378, 62186, 53378, 50802, 54110, 52116, 52408, 52325, 50801, 52937, 53378, 50993, 54110, 50803, 52308, 50301, 50912, 56227, 56029, 50803, 54110, 79597, 54024, 56227, 50912, 56227, 50851, 54110, 52244, 56227, 50912, 56227, 50827, 64768, 50912, 64768, 50827, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50851, 56227, 52580, 56227, 50851, 56227, 50827, 64768, 50851, 64768, 50827, 52408, 52590, 50803, 54110, 53300, 56227, 50851, 56227, 50827, 64768, 50851, 64768, 52739, 56227, 50851, 56227, 50827, 54110, 50803, 52947, 52674, 56227, 50851, 56227, 50827, 63624, 50851, 63624, 50827, 53378, 50993, 54110, 52057, 56227, 50851, 56227, 54352, 50803, 54110, 53609, 56227, 50851, 56227, 50874, 63624, 50851, 63624, 50874, 54110, 52284, 56227, 50827, 56227, 50874, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50827, 56227, 50874, 63624, 50827, 63624, 54385, 56227, 50827, 56227, 50874, 74144, 50827, 74144, 50874, 52408, 52590, 50803, 54110, 53532, 56227, 50827, 56227, 54900, 56227, 50827, 56227, 50874, 74144, 50827, 74144, 50874, 54110, 50803, 52947, 52937, 56227, 50827, 56227, 50874, 53378, 50993, 54110, 50803, 52308, 50301, 50827, 56227, 54874, 50803, 54110, 54024, 56227, 50874, 56227, 50822, 54110, 52244, 56227, 50874, 56227, 50822, 64768, 50874, 64768, 50822, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50874, 56227, 52921, 56227, 50874, 56227, 50822, 64768, 50874, 64768, 50822, 52408, 52590, 50803, 54110, 53300, 56227, 50874, 56227, 50822, 64768, 50874, 64768, 53193, 56227, 50874, 56227, 50822, 54110, 50803, 52947, 52674, 56227, 50874, 56227, 50822, 63624, 50874, 63624, 50822, 53378, 50993, 54110, 52057, 56227, 50822, 56227, 54436, 50803, 54110, 53609, 56227, 50822, 56227, 50844, 63624, 50822, 63624, 50844, 54110, 52284, 56227, 50822, 56227, 50844, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50822, 56227, 50844, 63624, 50822, 63624, 54004, 56227, 50822, 56227, 50844, 74144, 50822, 74144, 50844, 52408, 52590, 50803, 54110, 53532, 56227, 50822, 56227, 54194, 56227, 50822, 56227, 50844, 74144, 50822, 74144, 50844, 54110, 50803, 52947, 52937, 56227, 50844, 56227, 50844, 53378, 50993, 54110, 50803, 52308, 50301, 50844, 56227, 53095, 50803, 54110, 54024, 56227, 50844, 56227, 50810, 54110, 52244, 56227, 50844, 56227, 50810, 64768, 50844, 64768, 50810, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50844, 56227, 52654, 56227, 50844, 56227, 50810, 64768, 50844, 64768, 50810, 52408, 52590, 50803, 54110, 53300, 56227, 50844, 56227, 50810, 64768, 50844, 64768, 52658, 56227, 50844, 56227, 50810, 54110, 50803, 52947, 52674, 56227, 50810, 56227, 50810, 63624, 50810, 63624, 50810, 53378, 50993, 54110, 52057, 56227, 50810, 56227, 54312, 50803, 54110, 53609, 56227, 50810, 56227, 50854, 63624, 50810, 63624, 50854, 54110, 52284, 56227, 50810, 56227, 50854, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50810, 56227, 50854, 63624, 50810, 63624, 54276, 56227, 50810, 56227, 50854, 74144, 50810, 74144, 50854, 52408, 52590, 50803, 54110, 53532, 56227, 50810, 56227, 54424, 56227, 50854, 56227, 50854, 74144, 50854, 74144, 50854, 54110, 50803, 52947, 52937, 56227, 50854, 56227, 50833, 53378, 50993, 54110, 50803, 52308, 50301, 50854, 56227, 53530, 50803, 54110, 54024, 56227, 50854, 56227, 50833, 54110, 52244, 56227, 50854, 56227, 50833, 64768, 50854, 64768, 50833, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50854, 56227, 53049, 56227, 50854, 56227, 50833, 64768, 50854, 64768, 50833, 52408, 52590, 50803, 54110, 53300, 56227, 50833, 56227, 50833, 64768, 50833, 64768, 53627, 56227, 50833, 56227, 50833, 54110, 50803, 52947, 52674, 56227, 50833, 56227, 50812, 63624, 50833, 63624, 50812, 53378, 50993, 54110, 52057, 56227, 50833, 56227, 53097, 50803, 54110, 53609, 56227, 50833, 56227, 50812, 63624, 50833, 63624, 50812, 54110, 52284, 56227, 50833, 56227, 50812, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50833, 56227, 50812, 63624, 50833, 63624, 52848 ]
[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 4246, 10, 9590, 3863, 816, 10, 182, 1769, 33301, 11, 272, 3694, 6, 7630, 14805, 10, 5679, 26709, 8, 3722, 5466, 10686, 13, 822, 6, 19, 10, 33215, 16739, 9, 211, 119, 6, 272, 119, 6, 274, 6, 8, 272, 11, 41, 18186, 112, 73, 176, 86, 6543, 6, 70, 35501, 88, 10, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50646, 66265, 51411, 52915, 68542, 62303, 72652, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 55705, 54100, 56848, 53913, 60198, 51448, 53445, 54089, 50799, 54668, 51448, 50438, 60198, 51448, 50799, 50646, 66265, 51411, 52915, 68542, 62303, 72652, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 60198, 54100, 55705, 53913, 56848, 51448, 53445, 52570, 50799, 57331, 51448, 50438, 56848, 51293, 61627, 66265, 50892, 52915, 65980, 60198, 54058, 66265, 54771, 56848, 50892, 50799, 60198, 51411, 52915, 52570, 50426, 66265, 72652, 62303, 73580, 56848, 51411, 50799, 62303, 74989, 56848, 72652, 62303, 73580, 56848, 51411, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 56848, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 55705, 54100, 56848, 53913, 60198, 51448, 53445, 54089, 50799, 54668, 51448, 50438, 60198, 51448, 50799, 66265, 50892, 52915, 70599, 60198, 53770, 66265, 54100, 56848, 53913, 60198, 51411, 52915, 52570, 50450, 66265, 51411, 50799, 62303, 74989, 56848, 72652, 62303, 73580, 56848, 51411, 50799, 62303, 74989, 56848, 72652, 62303, 55200, 66265, 54058, 60198, 54771, 66265, 50892, 50799, 56848, 51411, 53445, 51469, 50426, 57331, 72652, 56848, 51448, 50799, 56848, 51411, 52915, 51469, 50426, 60198, 72652, 66265, 55200, 60198, 54058, 66265, 54771, 56848, 50892, 50799, 55705, 51411, 53453, 51469, 50426, 62303, 72652, 55705, 51448, 50799, 56848, 51448, 52915, 52570, 50438, 62303, 51391, 50456, 60198, 50892, 50799, 60198, 55041, 66265, 53770, 60198, 54100, 56848, 53913, 60198, 55200, 56848, 54058, 60198, 54771, 55705, 50892, 50799, 56848, 51448, 53445, 52570, 50438, 57331, 51448, 50799, 56848, 51293, 50799, 61743, 51411, 52915, 68542, 71963, 72652, 62670, 51677, 52915, 52570, 66243, 71963, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 71963, 50892, 50799, 61743, 55041, 71963, 53770, 61743, 54100, 57331, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 61743, 50892, 50799, 62670, 55041, 61743, 53770, 62670, 57250, 71963, 53513, 61743, 55167, 71963, 53614, 57331, 51391, 50456, 62303, 50892, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 62303, 53913, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 55705, 54100, 56848, 53913, 60198, 51448, 53445, 54089, 50799, 54668, 51448, 50438, 60198, 51448, 50799, 61743, 51411, 52915, 68542, 71963, 72652, 62670, 51677, 52915, 52570, 66243, 71963, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 71963, 50892, 50799, 61743, 55041, 71963, 53770, 61743, 54100, 57331, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 61743, 50892, 50799, 62670, 55041, 61743, 53770, 62670, 57250, 71963, 53513, 61743, 55167, 71963, 53614, 57331, 51391, 50456, 62303, 50892, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 62303, 53913, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 60198, 54100, 55705, 53913, 56848, 51448, 53445, 52570, 50799, 57331, 51448, 50438, 56848, 51293, 61627, 61743, 51411, 52915, 68660, 71963, 51411, 50799, 62670, 51411, 52915, 52570, 50426, 71963, 72652, 62670, 73580, 57331, 51411, 50799, 62670, 74989, 71963, 72652, 62670, 73580, 57331, 51411, 50799, 62670, 74989, 50721, 50330, 72652, 62670, 51448, 50799, 61743, 74989, 71963, 72652, 62670, 51677, 52915, 52570, 66243, 71963, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 71963, 50892, 50799, 61743, 55041, 71963, 53770, 61743, 54100, 57331, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 61743, 50892, 50799, 62670, 55041, 61743, 53770, 62670, 57250, 71963, 53513, 61743, 55167, 71963, 53614, 57331, 51391, 50456, 62303, 50892, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 62303, 53913, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848 ]
[ 0, 250, 19448, 8, 11653, 15855, 2125, 6, 4246, 41, 21979, 8669, 25, 5, 6922, 10320, 4, 20, 2214, 16, 278, 11, 274, 538, 19, 10, 155, 73, 398, 86, 6543, 6, 8, 26658, 23, 41, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 274, 8, 230, 406, 4, 590, 63, 32625, 34879, 8, 17627, 17274, 5466, 6, 42, 15229, 74, 28, 157, 12, 9228, 4560, 25, 10, 19834, 13, 10, 1144, 26016, 822, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50626, 60848, 51563, 52774, 55784, 51438, 52247, 60848, 51563, 52309, 55784, 51438, 52322, 55046, 51549, 52692, 60494, 60106, 52323, 56488, 50947, 52774, 54765, 51064, 52247, 60494, 51032, 52309, 54765, 51064, 52322, 56488, 50947, 52692, 64252, 55046, 52323, 60266, 50970, 52774, 64252, 50929, 52247, 60266, 50970, 52309, 60494, 50970, 52322, 54765, 50970, 52692, 56488, 57566, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 66530, 50970, 55224, 50960, 52322, 66530, 50929, 55451, 54765, 52323, 66530, 50947, 55419, 50960, 52247, 66530, 51064, 55224, 50960, 52322, 66530, 51076, 55451, 54765, 52323, 52012, 54107, 66530, 51032, 55224, 51136, 52322, 66530, 51067, 55451, 60494, 52323, 66530, 51032, 55419, 51136, 52247, 66530, 50947, 55224, 51136, 52322, 66530, 50970, 55451, 60494, 52323, 53271, 54107, 66530, 50970, 55224, 50960, 52322, 66530, 50929, 55451, 54765, 52323, 66530, 50947, 55419, 50960, 52247, 66530, 51064, 55224, 50960, 52322, 66530, 51076, 55451, 54765, 52323, 52012, 54107, 66530, 51032, 55224, 51136, 52322, 66530, 51067, 55451, 60494, 52323, 66530, 51032, 55419, 51136, 52247, 66530, 50947, 55224, 51136, 52322, 66530, 50970, 55451, 60494, 52323, 58999, 54107, 51846, 50806, 50970, 55224, 50960, 52322, 51846, 50806, 50929, 55451, 54765, 52323, 51846, 50806, 51169, 55419, 50960, 52247, 51846, 50806, 51064, 55224, 50960, 52322, 51846, 50806, 51032, 55451, 54765, 52323, 54432, 54107, 62979, 51067, 55224, 50970, 52322, 62979, 51549, 55451, 57566, 52323, 62979, 51067, 55419, 50970, 52247, 62979, 51076, 55224, 50970, 52322, 62979, 50929, 55451, 57566, 52323, 51725, 53765, 64252, 50929, 55224, 50998, 52322, 64252, 50947, 55451, 56406, 52323, 64252, 51064, 55419, 51136, 52247, 64252, 50947, 55224, 51136, 52322, 64252, 50929, 55451, 60494, 52323, 51131, 55419, 50970, 53765, 51725, 55224, 61446, 50970, 53585, 51444, 55451, 60266, 57566, 52323, 52562, 55419, 61446, 50970, 53765, 51444, 55224, 61446, 50970, 53585, 51725, 55451, 60266, 57566, 52323, 58999, 54107, 51846, 50806, 50970, 55224, 50960, 52322, 51846, 50806, 50929, 55451, 54765, 52323, 51846, 50806, 51169, 55419, 50960, 52247, 51846, 50806, 51064, 55224, 50960, 52322, 51846, 50806, 51032, 55451, 54765, 52323, 54432, 54107, 62979, 51067, 55224, 50970, 52322, 62979, 51549, 55451, 57566, 52323, 62979, 51067, 55419, 50970, 52247, 62979, 51076, 55224, 50970, 52322, 62979, 50929, 55451, 57566, 52323, 51725, 53765, 64252, 50929, 55224, 50998, 52322, 64252, 50947, 55451, 56406, 52323, 64252, 51064, 55419, 51136, 52247, 64252, 50947, 55224, 51136, 52322, 64252, 50929, 55451, 60494, 52323, 51131, 55419, 50970, 53765, 51725, 55224, 61446, 50970, 53585, 51444, 55451, 60266, 57566, 52323, 52562, 55419, 61446, 50970, 53765, 51444, 55224, 61446, 50970, 53585, 51725, 55451, 60266, 57566, 52323, 53271, 53765, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 51207, 55451, 56767, 52323, 51131, 55419, 51169, 53765, 51246, 55224, 51064, 53585, 51311, 55451, 60183, 52323, 52012, 53765, 51504, 50921, 62867, 50430, 51136, 62887, 51032, 56360, 50960, 55451, 62569, 52323, 50986, 55419, 51032, 53765, 51131, 55224, 50947, 53585, 51504, 55451, 57566, 52323, 53271, 53765, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 51207, 55451, 56767, 52323, 51131, 55419, 51169, 53765, 51246, 55224, 51064, 53585, 51311, 55451, 60183, 52323, 52012, 53765, 51504, 50921, 62867, 50430, 51136, 62887, 51032, 56360, 50960, 55451, 62569, 52323, 50986, 55419, 51032, 53765, 51131, 55224, 50947, 53585, 51504, 55451, 57566, 52323, 58999, 53765, 51846, 50921, 51846, 50896, 50430, 50960, 62887, 50970, 56360, 51207, 55451, 56767, 52323, 51846, 55419, 51169, 53765, 51246, 55224, 51064, 53585, 50986, 55451, 60106, 52323, 54432, 53765, 51311, 50921, 65400, 50430, 50970, 62887, 51067, 56360, 51136, 55451, 51549, 50896, 52323, 50960, 55419, 51067, 53765, 51311, 55224, 51076, 53585, 51207, 55451, 55046, 52323, 51725, 53765, 51246, 50921, 63965, 50430, 50998, 62887, 50929, 56360, 50986, 55451, 57360, 52323, 50960, 55419, 51064, 53765, 50986, 55224, 50947, 53585, 51246, 55451, 56767, 52323, 51131, 55419, 50970, 53765, 51725, 55224, 61446, 50970, 53585, 51444, 55451, 61446, 59100, 52323, 52562, 55419, 61446, 50970, 53765, 51444, 55224, 61446, 50970, 53585, 51725, 55451, 60266, 57566, 52323, 51207, 56191, 51504, 53113, 51207, 52247, 51131, 52309, 51246, 52322, 50986, 52692, 54765, 52323, 51136, 52774, 50970, 52247, 50929, 52309, 74724, 51064, 52692, 55046, 52323, 50947, 52774, 50970, 52247, 50929, 52309, 51136, 52322, 50986, 52692, 60266, 52323, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 64252, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 64252, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 64252, 53271, 70599, 50970, 52247, 50960, 52309, 50970, 52322, 64252, 53271, 55451, 57566, 52323, 51846, 50806, 58999, 70599, 50970, 52247, 50960, 52309, 50970, 52322, 51846, 50806, 58999, 55451, 57566, 52323, 59077, 54432, 70599, 51064, 52247, 51136, 52309, 51064, 52322, 59077, 54432, 55451, 60848, 52323, 68433, 52028, 70599, 51292, 52247, 51064, 52309, 51292, 52322, 68433, 52028, 55451, 68909, 52323, 62867, 56479, 75914, 51438, 53765, 51549, 52309, 51067, 52322, 51032, 52692, 60848, 52323, 50947, 52774, 50929, 52247, 50970, 52309, 51136, 52322, 50960, 52692, 56488, 52323, 51246, 53765, 50970, 50921, 59100, 50430, 51067, 62887, 53019, 56360, 59100, 53019, 50896, 52323, 51131, 53765, 51078, 50921, 60511, 50430, 51032, 62887, 51788, 56360, 60511, 51788, 50896, 52323, 51207, 53765, 50929, 50921, 56767, 50430, 51067, 62887, 53019, 56360, 56767, 53019, 50896, 52323, 51504, 53765, 51169, 50921, 78991, 50430, 51067, 62887, 53019, 56360, 78991, 53019, 50896, 52323, 52562, 53765, 51563, 50921, 75914, 50430, 51549, 62887, 51563, 56360, 75914, 53019, 50896, 52323, 51067, 50921, 62867, 50418, 51169, 62991, 51067, 55889, 56767, 52866, 50896, 52323, 51207, 53765, 51549, 50921, 56767 ]
[ 0, 713, 8787, 3152, 15229, 28740, 19, 1007, 6, 3185, 30, 5, 2247, 4069, 9, 30587, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 6780, 10, 7212, 20889, 6, 24, 18, 10, 13363, 28191, 3251, 3820, 19, 9066, 34879, 8, 10, 11602, 9, 15073, 4, 20, 2125, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 381, 6, 274, 10431, 119, 406, 428, 245, 73, 717, 6, 274, 6, 83, 6, 8, 211, 406, 1271, 7, 63, 9669, 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 ]	[ 54458, 55555, 51288, 52864, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 51344, 52864, 58152, 51344, 58936, 58152, 51344, 61083, 58152, 51344, 53548, 54730, 51344, 52605, 58152, 51344, 58322, 58152, 51344, 61300, 58152, 51344, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 69329, 59793, 51507, 52862, 50805, 51769, 52864, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 51344, 52864, 58152, 51344, 58936, 58152, 51344, 61083, 58152, 51344, 53548, 54730, 51344, 52605, 58152, 51344, 58322, 58152, 51344, 61300, 58152, 51344, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 55555, 59793, 51155, 52024, 51046, 52024, 51507, 52024, 50801, 51264, 51335, 52024, 50420, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 51344, 52864, 58152, 51344, 58936, 58152, 51344, 61083, 58152, 51344, 53548, 54730, 51344, 52605, 58152, 51344, 58322, 58152, 51344, 61300, 58152, 51344, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 69329, 59793, 51507, 52862, 50805, 51769, 52864, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 59339, 51456, 52864, 58152, 51344, 50381, 53823, 58936, 58152, 51344, 50381, 53823, 61083, 58152, 51344, 50381, 53823, 53548, 54730, 59339, 51224, 52605, 58152, 51344, 74072, 58322, 58152, 51344, 74072, 61300, 58152, 51344, 74072, 53813, 57768, 51849, 59571, 52815, 51548, 50840, 51849, 75072, 59137, 51548, 50840, 51849, 75072, 61190, 51548, 50840, 51849, 75072, 53688, 57768, 51849, 52918, 56776, 50910, 55350, 56776, 57939, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 54218, 56776, 50910, 50460, 51548, 50840, 51849, 50840, 50799, 55555, 51288, 51077, 51507, 52862, 55744, 69392, 55290, 50791, 62714, 59337, 51507, 58936, 59337, 51507, 53345, 55744, 50910, 50424, 59337, 51507, 53548, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 62815, 51211, 50910, 51598, 50910, 55290, 50791, 58877, 51344, 50910, 51632, 50910, 55290, 50791, 56983, 57768, 51075, 51264, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 54730, 52237, 52862, 55744, 69392, 55290, 50791, 62714, 58152, 52237, 58936, 58152, 52237, 53345, 55744, 50910, 50424, 58152, 52237, 53548, 51843, 50910, 52576, 50910, 55290, 50804, 55744, 62815, 51288, 50910, 51875, 50910, 55290, 50791, 58877, 51211, 50910, 51598, 50910, 55290, 50791, 56983, 54479, 57768, 52669, 52862, 55744, 50910, 50441, 54479, 50442, 55290, 50791, 60204, 51548, 50840, 56044, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 59339, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 57939, 56044, 50458, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 55555, 51219, 51141, 51507, 52862, 55744, 69392, 55290, 50791, 62714, 59337, 51507, 58936, 59337, 51507, 53345, 55744, 50910, 50424, 59337, 51507, 53548, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 62815, 51211, 50910, 51598, 50910, 55290, 50791, 58466, 56383, 50434, 51344, 50910, 51632, 50910, 55290, 50791, 65470, 51219, 53614, 57768, 51075, 53090, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 54730, 52237, 52862, 55744, 69392, 55290, 50791, 62714, 58152, 52237, 58936, 58152, 52237, 53345, 55744, 50910, 50424, 58152, 52237, 53548, 51843, 50910, 52576, 50910, 55290, 50804, 55744, 62815, 51288, 50910, 51875, 50910, 55290, 50791, 58877, 51211, 50910, 51598, 50910, 55290, 50791, 56983, 57768, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 55555, 51288, 51077, 51507, 52862, 55744, 69392, 55290, 50791, 62714, 59337, 51507, 58936, 59337, 51507, 53345, 55744, 50910, 50424, 59337, 51507, 53548, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 62815, 51211, 50910, 51598, 50910, 55290, 50791, 58877, 51344, 50910, 51632, 50910, 55290, 50791, 56983, 57768, 51075, 51264, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 54730, 52237, 52862, 55744, 69392, 55290, 50791, 62714, 58152, 52237, 58936, 58152, 52237, 53345, 55744, 50910, 50424, 58152, 52237, 53548, 51843, 50910, 52576, 50910, 55290, 50804, 55744, 62815, 51288, 50910, 51875, 50910, 55290, 50791, 58877, 51211, 50910, 51598, 50910, 55290, 50791, 56983, 54479, 57768, 52669, 52862, 55744, 50910, 50441, 54479, 50442, 55290, 50791, 60204, 51548, 50840, 56044, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 59339, 51875, 50910, 55290, 50804, 55744 ]
[ 0, 250, 765, 37903, 9, 15855, 1855, 15010, 930, 19, 10, 25306, 619, 6, 4246, 10, 18558, 6970, 22, 46909, 113, 18046, 11, 41, 9066, 8, 19448, 4737, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 20889, 9, 5962, 163, 5683, 6, 2351, 10, 5679, 26709, 8, 15352, 30054, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52679, 51090, 52679, 51090, 50427, 54099, 50896, 54099, 50896, 50440, 55699, 51090, 55699, 51090, 50452, 54445, 51090, 54445, 51090, 52177, 54099, 51237, 54099, 51237, 50429, 52679, 51237, 52679, 51237, 50441, 52123, 50824, 52123, 57325, 52679, 51237, 52679, 51237, 52177, 54099, 50824, 54099, 65514, 52679, 51054, 52679, 60969, 52679, 53174, 52679, 53174, 50796, 50443, 52679, 50896, 52679, 50896, 50455, 54099, 51237, 54099, 51237, 53069, 55699, 51054, 55699, 59984, 54445, 51090, 54445, 63437, 54099, 51237, 54099, 68287, 52679, 50824, 52679, 50824, 52591, 52123, 50824, 52123, 53566, 52679, 51237, 52679, 74601, 54099, 51054, 54099, 51054, 50457, 52679, 51573, 52679, 51573, 60212, 52679, 52369, 52679, 52369, 56020, 52679, 51237, 52679, 51237, 50434, 52123, 51054, 52123, 51054, 50447, 52679, 51237, 52679, 51237, 50459, 54099, 51054, 54099, 51054, 60212, 52679, 51237, 52679, 51237, 50436, 54099, 51237, 54099, 51237, 50448, 55699, 51054, 55699, 51054, 50461, 54445, 51237, 54445, 51237, 55746, 55699, 50896, 55699, 50896, 50439, 55699, 51745, 55699, 51745, 50455, 57330, 52282, 57330, 52282, 50796, 50434, 57330, 51054, 57330, 51054, 50447, 55699, 51237, 55699, 51237, 50459, 54445, 51072, 54445, 51072, 56020, 54099, 50824, 54099, 60739, 52679, 51745, 52679, 51745, 50449, 52123, 50824, 52123, 50824, 50460, 52041, 50824, 52041, 50824, 55746, 52123, 51237, 52123, 51237, 50440, 52123, 51029, 52123, 51029, 50457, 52679, 52500, 52679, 52500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 8, 33558, 5175, 8, 3495, 2214, 4246, 21979, 8669, 6, 21072, 6, 2382, 3459, 8669, 6, 38668, 483, 6, 8, 3459, 9590, 4, 20, 33301, 16, 17627, 17274, 8, 11653, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 4, 20, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50988, 60871, 69139, 50935, 55382, 50988, 60871, 69139, 50935, 54975, 50988, 51115, 64851, 50944, 51115, 76064, 50456, 50988, 60871, 50915, 65107, 68457, 52591, 50988, 60871, 50915, 65107, 50909, 57173, 75950, 56347, 53264, 50988, 51047, 50848, 51047, 75092, 50935, 51047, 57746, 60871, 69139, 50935, 55382, 50988, 60871, 69139, 50935, 54975, 50988, 51115, 64851, 50944, 51115, 76064, 50456, 50988, 60871, 50915, 65107, 68457, 51755, 51049, 52871, 50988, 60871, 50915, 65107, 68457, 52506, 69860, 54984, 51628, 75950, 69064, 51976, 52877, 50988, 51047, 50848, 51047, 75092, 50935, 51047, 50804, 52284, 51763, 50845, 50927, 55944, 51757, 51815, 50845, 51019, 54371, 54403, 51401, 50845, 50953, 55944, 50800, 70782, 50915, 50953, 50915, 60211, 52054, 64540, 52921, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 57452, 70782, 50845, 73703, 64112, 51763, 50845, 71653, 56889, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 52636, 51724, 51401, 50845, 73703, 59159, 51763, 50845, 71653, 52506, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 57452, 70782, 50915, 50953, 50915, 55032, 50417, 50852, 50822, 68072, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 53273, 54846, 50852, 50822, 70782, 50845, 73703, 70513, 52542, 51835, 51763, 50845, 71653, 69671, 53869, 52654, 75950, 69064, 51815, 50845, 51019, 54371, 56055, 57162, 51475, 52699, 51628, 51401, 50845, 73703, 61237, 54592, 50572, 50822, 54659, 53611, 52729, 51401, 50845, 50953, 55944, 51907, 67614, 68648, 52542, 51820, 51763, 50845, 71653, 57713, 56055, 50812, 54659, 53869, 52843, 75950, 69064, 51815, 50845, 51019, 54371, 66992, 60710, 52699, 51754, 51401, 50845, 50953, 55944, 53887, 56327, 50882, 54659, 53611, 50810, 70782, 50915, 50953, 50915, 60211, 52054, 64540, 52921, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 53354, 50914, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51815, 50845, 51019, 50845, 57452, 50799, 53929, 50914, 55452, 50915, 52047, 50915, 50964, 50915, 55032, 68072, 55668, 50849, 58233, 51305, 50292, 64694, 61364, 56566, 55077, 56990, 50845, 52047, 50845, 50964, 50845, 70064, 55668, 50849, 58233, 50845, 52047, 50845, 50964, 50845, 52636, 51724, 55668, 50914, 55462, 50915, 51401, 50845, 73703, 59159, 51763, 50845, 71653, 52506, 53140, 55668, 50845, 55668, 51424, 50292, 64694, 61364, 56566, 55077, 56990, 50845, 51815, 50845, 51019, 50845, 63904, 53929, 51124, 55462, 50915, 51763, 50845, 71653, 57452, 70782, 50915, 50953, 50915, 64112, 58233, 51714, 53354, 51307, 56889, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 57452, 70782, 50845, 73703, 70513, 52542, 51835, 51763, 50845, 71653, 69671, 53869, 52654, 75950, 69064, 51815, 50845, 51019, 54371, 56055, 57162, 51475, 52699, 51628, 51401, 50845, 73703, 61237, 54592, 50572, 50822, 54659, 53611, 52729, 51401, 50845, 50953, 55944, 51907, 67614, 68648, 52542, 51820, 51763, 50845, 71653, 57713, 56055, 50812, 54659, 53869, 52843, 75950, 69064, 51815, 50845, 51019, 54371, 66992, 60710, 52699, 51754, 51401, 50845, 50953, 55944, 53887, 56327, 50882, 54659, 53611, 50810, 70782, 50915, 50953, 50915, 60211, 52054, 64540, 52921, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 53354, 50914, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51815, 50845, 51019, 50845, 57452, 50799, 53929, 51189, 57210, 51115, 52047, 50915, 50964, 50915, 55032, 68072, 51332, 64694, 61364, 56566, 55077, 56990, 50845, 52047, 50845, 50964, 50845, 70064, 55668, 50849, 58233, 50845, 52047, 50845, 50964, 50845, 52636, 51724, 55668, 50914, 55462, 50915, 51401, 50845, 73703, 59159, 51763, 50845, 71653, 52506, 53140, 55668, 50845, 55668, 51424, 50292, 64694, 61364, 56566, 55077, 56990, 50845, 51815, 50845, 51019, 50845, 63904, 53929, 50914, 55462, 50915, 51763, 50845, 71653, 66871, 50810, 70782, 50915, 50953, 50915, 55032, 51402, 53728, 58233, 51714, 53354, 51307, 56889, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 59159, 50852, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 53273, 54846, 50852, 50822, 70782, 50845, 50953, 54371, 50882, 54519, 52871, 51763, 50845, 50927, 54371, 51022, 53327, 54504, 75950, 69064, 51815, 50845, 51019, 54371, 51022, 54321, 54661, 51401, 50845, 50953, 54371, 50882, 52594, 52841, 51401, 50845, 50953, 54371, 51022, 53012, 54478, 55668, 50849, 51763, 50845, 50927, 54371, 52513, 50804, 52848, 55668, 65376, 55257, 54667, 69064, 51815, 50845, 51019, 54371, 79233, 54403, 55668, 50849, 51401, 50845, 50953, 55944, 50800, 50799, 57210, 50914, 51688, 50915, 52124, 50915, 51069, 50845, 60211, 52054, 52871, 51069, 50845, 56889, 58233, 60884, 50915, 52124, 50845, 51069, 50845, 70064, 55462, 51191, 52124, 50845, 51069, 50845, 66921, 51332, 50915, 52047, 50915, 50964, 50845, 59159, 50964, 52839, 53153, 55462, 74329, 50810, 51763, 58791, 53119, 51049, 52809, 51217, 50810, 51815, 50810, 51019, 52863, 55668, 65376, 50845, 51401, 50845, 73703, 57452, 50799, 55462, 51424, 50289, 50915, 52124, 50915, 51069, 50845, 64112, 55462, 50914, 51069, 50845, 56889, 67034, 52124, 50845, 51069, 50845, 70064, 55462, 51413, 52124, 50845, 51069, 50845, 52636, 51724, 51332, 50915, 52047, 50915, 50964, 50845, 59159, 50964, 50845, 52506, 53153, 51171, 50810, 51763, 58791, 53119, 51049, 52809, 51217, 50810, 51815, 50810, 51019, 52863, 55462, 65376, 50845, 51401, 50845, 73703, 57452, 50799, 57210, 50914, 51688, 50915, 52124, 50915, 51069, 50845, 52506, 55446, 51069, 50845, 56889, 58233, 60884, 50915, 52124, 50845, 51069, 50845, 70064, 58233, 50849, 52124, 50845, 51069, 50845, 66921, 55462, 50914, 51332, 50915, 52047, 50915, 50964, 50845, 51976, 51820, 50964, 52839, 53153, 55462, 74329, 50810, 51763, 58791, 53119, 51049, 52809, 51217, 50810, 51815, 50810, 51019, 52863, 55668, 65376, 50845, 51401, 50845, 73703, 57452, 50799, 55462, 50914, 51688, 50915, 52124, 50915, 51069, 54371, 51835, 51069, 55944, 51620, 55668, 60884, 50915, 52124, 50845, 51069, 50845, 51553, 52749, 55462, 51191, 52124, 50845, 51069, 54371, 55381, 51332, 50915, 52047, 50915, 50964, 78220, 51820, 50964, 52839, 66991, 51757, 51171, 50810, 51763, 58791, 53119, 59574, 51217, 50810, 51815, 50810, 51019, 52863, 50988, 50845, 51401, 50845, 50953, 54371, 50800, 50799, 57210, 51424, 50289, 50915, 52124, 50915, 51069, 50845, 60211, 52054, 52871, 57210, 50849, 51069, 50845, 56889, 58233, 60884, 50915, 52124, 50845, 51069, 50845, 70064, 58233, 50849, 52124, 50845, 51069, 50845, 66921, 55462, 51424, 50292, 50915, 52047, 50915, 50964 ]
[ 0, 713, 765, 3495, 2214, 6, 30291, 19, 5175, 4785, 6, 1931, 21683, 10, 2365, 8, 15352, 30054, 16464, 4, 20, 20535, 2810, 1239, 5, 483, 6, 2800, 30, 5, 228, 438, 4781, 2088, 6757, 6, 21072, 6, 8, 17605, 9590, 4, 590, 10, 20889, 9, 16662, 163, 5683, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 20902, 2877, 1328, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 211, 538, 8, 1575, 10, 33215, 16739, 9, 3676, 6, 2060, 73, 347, 6, 230, 10431, 12361, 6, 211, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50417, 53633, 52115, 54931, 52329, 54931, 50897, 50428, 54664, 50942, 50431, 54289, 53614, 54664, 50795, 60915, 53658, 59254, 50917, 57971, 57431, 54931, 50830, 69577, 50897, 52478, 54931, 52628, 55160, 50806, 50430, 54931, 52359, 53508, 54789, 54931, 54465, 55356, 51192, 50454, 54931, 52485, 54289, 50809, 50799, 53633, 51428, 54328, 69551, 54931, 52329, 54931, 63342, 50858, 50428, 54664, 50942, 50431, 54289, 50844, 51974, 55734, 54664, 50795, 60915, 52732, 53235, 61443, 59254, 50917, 57971, 55758, 50843, 54663, 54931, 50830, 69577, 50897, 52615, 51104, 50892, 55986, 61958, 59889, 54931, 52628, 55160, 54919, 50843, 68207, 54931, 53695, 53508, 51428, 54362, 50843, 53235, 52865, 50836, 53012, 58344, 54931, 52510, 55356, 50795, 52612, 53886, 50843, 54078, 68750, 54931, 52485, 54289, 53351, 56189, 56751, 62223, 52060, 56054, 51553, 61982, 51456, 50955, 50799, 53633, 51428, 54328, 55446, 54931, 52847, 65054, 52002, 50800, 51913, 54567, 50987, 50424, 52489, 50892, 52747, 53049, 51913, 50907, 54931, 63342, 54581, 50991, 51068, 78554, 56919, 52002, 50925, 50428, 54664, 66121, 51683, 50812, 52306, 69812, 54289, 53513, 51648, 50810, 52991, 52227, 50892, 52055, 51024, 78885, 51683, 50812, 52306, 52877, 51776, 50810, 56582, 50950, 54664, 50795, 60915, 52732, 53235, 66066, 52578, 51238, 60440, 51238, 50856, 70222, 50378, 52073, 53800, 56325, 59254, 50917, 57971, 50917, 51382, 51048, 51068, 55992, 54353, 51648, 51573, 52991, 50824, 54931, 50830, 69577, 61965, 56362, 50892, 52243, 62045, 50873, 55986, 53235, 50894, 50418, 52364, 50809, 54931, 52628, 55160, 56021, 50849, 52060, 61682, 54796, 65054, 53408, 50818, 52901, 50836, 54775, 55155, 52060, 58830, 53408, 50849, 54775, 50901, 52901, 64570, 52060, 54345, 63600, 78554, 54796, 50893, 50430, 52364, 50836, 54931, 58607, 52060, 59190, 54100, 54775, 50828, 53408, 50809, 52901, 50862, 53508, 51428, 58558, 60234, 52901, 51110, 50436, 53408, 51060, 54775, 51100, 50437, 56462, 64235, 51553, 52411, 62864, 61618, 54931, 63954, 52364, 54465, 55356, 51192, 51553, 59260, 63249, 64653, 55309, 71643, 53408, 50809, 52901, 50836, 54775, 56112, 54775, 51194, 50448, 53408, 50967, 52901, 51124, 62178, 66739, 53474, 51112, 51456, 61348, 54931, 59310, 53676, 50839, 52789, 53875, 54289, 54320, 50987, 52055, 53823, 50379, 52073, 55603, 68571, 52350, 50828, 53853, 57461, 52364, 50828, 52673, 50828, 52842, 50818, 52277, 53902, 53165, 54438, 50962, 50460, 55348, 59496, 54652, 50818, 53822, 50828, 50799, 56110, 50828, 55907, 50836, 53633, 52732, 53235, 74652, 56434, 65334, 60151, 50982, 58425, 58100, 52306, 54567, 55041, 51683, 50880, 54931, 56420, 55250, 65418, 51683, 50921, 52306, 52422, 54931, 55588, 51159, 51068, 78554, 52154, 50893, 50428, 54664, 66121, 51648, 50844, 52991, 58812, 52310, 50833, 53170, 50925, 54289, 56241, 50987, 51974, 55121, 60234, 51913, 50925, 52002, 51724, 54664, 50795, 60915, 52732, 53235, 51014, 50441, 51888, 50894, 73026, 51648, 53277, 50586, 55322, 50856, 70222, 64653, 54796, 56325, 51683, 51090, 51648, 51090, 52578, 51541, 59254, 50917, 57971, 50917, 51769, 50873, 51382, 50914, 51068, 55992, 70329, 54931, 50830, 69577, 61965, 54771, 52615, 52073, 52227, 50892, 51528, 57228, 50882, 50418, 54931, 59182, 50856, 55041, 52364, 50818, 52350, 50839, 54383, 50836, 52901, 50862, 55160, 50865, 52060, 50379, 52073, 55250, 54149, 54383, 50942, 52901, 50897, 52364, 62739, 50865, 52060, 58029, 50917, 51587, 51907, 54982, 50893, 50430, 54931, 53695, 56434, 50825, 53165, 50839, 53508, 53592, 50892, 67121, 60234, 52364, 50917, 54383, 50977, 52350, 50977, 52901, 50865, 51553, 50833, 51450, 54972, 61618, 53165, 68954, 64781, 56434, 50863, 54931, 52510, 52364, 50862, 52277, 50836, 52868, 50862, 55356, 58717, 50378, 52073, 52154, 55328, 60785, 56434, 50839, 53165, 60954, 51553, 54185, 52364, 50854, 53408, 50854, 52350, 54806, 63600, 52732, 53745, 50578, 59012, 53165, 61171, 56434, 50834, 54931, 52485, 52364, 50836, 52277, 50809, 52868, 50836, 54289, 56503, 50892, 52615, 51861, 52716, 50892, 51456, 56249, 56434, 50818, 53165, 50828, 50799, 51683, 50809, 52306, 50880, 53633, 51428, 52001, 50882, 50416, 51648, 59636, 52991, 72141, 52002, 55595, 51212, 50420, 51913, 50833, 54931, 55250, 61320, 57466, 51683, 50844, 52306, 61823, 51963, 50833, 51776, 52422, 54931, 54806, 63600, 50795, 51587, 52847, 50893, 50427, 51913, 63601, 52002, 50800, 54664, 68313, 52103, 50897, 51713, 50859, 54289, 53911, 50856, 50892, 65010, 71648, 51776, 50836, 51963, 67066, 51648, 50952, 50437, 52719, 59646, 54664, 50849, 60915, 50849, 64214, 50882, 50440, 52103, 50878, 51713, 50952, 50443, 51963, 51033, 51776, 55920, 50856, 70222, 64653, 54796, 56325, 51776, 50808, 52306, 50854, 52425, 50894, 59254, 50917, 57971, 50917, 51769, 53639, 51068, 52732, 53474, 58031, 51683, 50923, 52578, 50993, 53170, 50993, 51769, 68429, 69577, 50830, 54931, 55941, 50901, 52055, 51104, 78009, 50836, 50799, 53408, 50897, 54775, 50917, 52901, 59312, 53235, 51014, 50419, 54931, 52628, 53408, 54493, 59689, 53745, 50581, 50938, 51587, 64355, 55160, 61456, 52842, 51060, 52868, 51110, 53676, 50991, 50424, 52060, 58382, 51068, 50849, 51587, 54472, 54982, 50893, 50430, 54931, 52359, 52842, 50834, 53508, 50865, 51553, 54726, 50892, 51553, 53584, 54788, 56966, 51553, 53891, 52673, 50977, 53853, 50917, 56462, 59312, 53235, 51014, 50442, 54931, 52510, 52673, 50825, 55356, 56021, 70222, 64653, 54796, 53745, 50578, 79349, 54926, 51456, 63956, 52364, 50834, 53165, 51124, 52868, 51255, 52789, 50991, 53408, 51112, 51382, 51191, 51068, 52732, 66354, 54931, 62267, 51224, 56974, 54289, 51740, 50892, 52243, 52073, 52227, 60977, 51224, 50955, 50799, 51913, 50821, 52002, 50809, 53633, 52732, 53235, 61410, 51713, 50800, 52103, 72141, 50856, 55041, 53152, 50830, 52578, 50822, 54931, 56420, 52141, 66553, 51913, 50833, 52002, 66031, 52306, 51014, 51683, 52422, 54931, 53661, 63600, 50849, 51587, 55250, 50893, 50428, 52489, 51051, 50429, 52747, 50833, 54664, 68313, 51913, 58191, 52002, 50800, 54289, 59260, 50987, 52055, 51104, 71648, 51683, 54665, 52306, 52444, 54409, 51014, 52578, 50894, 52306, 50894, 60915, 50849, 54664, 52732, 53235, 73310, 54348, 50833, 51713, 50821, 53170, 70035, 52991, 51820, 51888, 50821, 52366, 54567, 70222, 64653, 54796, 56325, 52306, 51454, 51888, 51454, 52578, 51454, 59254, 50917, 57971, 50865, 51335, 50943, 51382, 50914, 51068, 52732, 54353, 54931, 50830, 69577, 61965, 50987, 51587, 52259, 56189, 50892, 50799, 52277, 56613, 53235, 51014, 50415, 54383, 50812, 50416, 52350, 79604, 52901, 50844, 54931, 72294, 50856, 55041, 52277, 50857, 54383, 50812, 55160, 50865, 51587, 54119, 53745, 50581, 65944, 52350, 55266, 51553, 64999, 52901, 53450, 52277, 50844, 54383, 53497, 51191, 51068, 50795, 51587, 52942, 50893, 51456, 56739, 52350, 60155, 52901, 50844, 54931, 64123, 50856, 54100, 52277, 50857, 54383, 50836, 53508, 51428, 58558, 50892, 51456, 60085, 52350, 63120, 52901, 53614, 52277, 50857, 54383, 67221, 56129, 53235, 51021, 50440, 52350, 58545, 52901, 50844, 54931, 67221, 54305, 52277, 50857, 54383, 50812, 55356, 78478, 50987, 51068, 64653, 55250, 63774, 52350, 56518, 52901, 54023, 50576, 54208, 52277, 50844, 54383, 57446, 53888, 72968, 54845, 50858, 50452, 52350 ]
[ 0, 250, 765, 6, 20425, 3152, 8, 5175, 24904, 2125, 11, 274, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 32909, 8, 2724, 368, 31365, 25999, 6, 2800, 30, 3459, 9590, 8, 21072, 6, 20307, 149, 10, 163, 428, 6, 12608, 119, 1176, 406, 6, 2060, 6, 163, 428, 6, 272, 406, 33215, 13931, 23, 10, 20902, 12701, 4450, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50945, 51029, 52060, 54024, 51456, 52244, 53808, 61479, 52801, 51326, 51973, 52334, 51599, 53300, 50804, 52119, 52211, 65285, 52590, 52674, 51456, 52057, 51641, 50802, 64320, 52060, 53609, 51456, 52284, 51485, 67229, 52911, 51224, 52116, 52061, 69583, 53694, 53532, 51485, 52409, 52163, 52061, 52590, 52937, 51289, 50803, 63355, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 50799, 53979, 50803, 51228, 51029, 52060, 54024, 52656, 61411, 52244, 55763, 50802, 52436, 58731, 52801, 52380, 62310, 51973, 52334, 50802, 53979, 55311, 53300, 50804, 52119, 52211, 76867, 52590, 52674, 53493, 50993, 51456, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 50802, 52436, 59714, 52911, 52656, 58731, 52116, 51431, 50802, 51979, 71966, 53694, 53532, 53319, 52409, 52163, 52211, 50803, 53319, 52651, 52937, 52039, 50803, 53319, 56327, 50803, 50799, 52334, 51184, 52380, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 55708, 51029, 52060, 54024, 51456, 52244, 54595, 61479, 52801, 51326, 51973, 55763, 51520, 53300, 55763, 51779, 52119, 52211, 50803, 51228, 52590, 52674, 52334, 61411, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 67229, 52911, 51224, 52116, 52298, 50802, 51105, 53694, 53532, 50816, 52163, 51723, 52651, 52937, 52211, 56327, 50803, 69494, 51184, 53493, 50803, 51096, 51029, 52060, 54024, 53625, 61411, 52244, 51224, 52801, 53979, 62310, 51973, 52436, 51520, 53300, 52436, 51779, 52119, 60557, 51236, 52674, 51978, 57052, 52057, 76091, 52060, 53609, 52656, 61411, 52284, 52436, 59714, 52911, 51224, 52116, 51978, 65285, 53694, 53532, 50816, 52163, 52891, 50802, 53867, 52937, 65991, 50803, 69494, 50803, 51979, 51184, 51105, 51029, 52060, 54024, 52298, 61411, 52244, 51431, 58731, 52801, 51641, 62310, 51973, 51509, 51599, 53300, 50804, 52119, 51641, 50802, 51105, 52590, 52674, 51456, 52057, 51579, 50802, 71885, 52060, 53609, 51456, 52284, 52264, 67229, 52911, 51224, 52116, 80080, 50953, 53694, 53532, 51509, 52409, 52163, 51641, 52590, 52937, 51289, 50803, 63355, 51184, 52656, 50802, 51325, 51029, 52060, 54024, 51456, 52244, 53493, 58731, 52801, 53786, 61492, 51973, 50798, 53300, 52380, 51812, 52119, 51325, 69987, 52674, 57806, 57052, 52057, 53610, 50993, 51325, 50824, 52060, 53609, 51456, 52284, 51553, 52911, 53786, 58731, 52116, 52833, 69583, 53694, 53532, 53979, 52409, 52163, 52380, 50881, 50598, 52937, 52656, 50881, 50602, 50803, 50799, 53979, 51184, 51228, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 52211, 51520, 53300, 52211, 51779, 52119, 51723, 50803, 51228, 52590, 52674, 52211, 61411, 52057, 51431, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 67229, 52911, 51224, 52116, 52061, 50803, 51325, 53694, 53532, 51431, 52409, 52163, 51723, 52651, 52937, 52211, 56327, 50803, 69494, 51184, 53610, 50824, 51105, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 53493, 51599, 53300, 50804, 52119, 53625, 50802, 60921, 51236, 52674, 51240, 52057, 53786, 50993, 71885, 52060, 53609, 51456, 52284, 51553, 52911, 53786, 58731, 52116, 52436, 50803, 50953, 53694, 53532, 53319, 52409, 52163, 52380, 50881, 50598, 52937, 53979, 50881, 50602, 50803, 50799, 53625, 51795, 50964, 51029, 52060, 54024, 51456, 52244, 51723, 61479, 52801, 51326, 51973, 52061, 52299, 53300, 50804, 52119, 50964, 52590, 52674, 51456, 52057, 51431, 50802, 70259, 52060, 53609, 51456, 52284, 51723, 67229, 52911, 51224, 52116, 52039, 62397, 53694, 53532, 50816, 52163, 52211, 50802, 52833, 52590, 52937, 51289, 50803, 50799, 51898, 50802, 52380, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 52334, 61479, 52801, 51326, 51973, 54595, 51599, 53300, 50798, 52119, 51898, 51407, 51133, 52677, 50803, 52594, 52057, 50945, 75038, 52313, 50816, 52175, 50798, 50824, 52354, 51029, 52060, 54024, 51456, 52244, 53808, 61479, 52801, 51326, 51973, 52334, 51599, 53300, 50804, 52119, 52211, 65285, 52590, 52674, 51456, 52057, 51641, 50802, 64320, 52060, 53609, 51456, 52284, 51485, 67229, 52911, 51224, 52116, 52061, 69583, 53694, 53532, 51485, 52409, 52163, 52061, 52590, 52937, 51289, 50803, 63355, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 50799, 53979, 50803, 51228, 51029, 52060, 54024, 52656, 61411, 52244, 55763, 50802, 52436, 58731, 52801, 52380, 62310, 51973, 52334, 50802, 53979, 55311, 53300, 50804, 52119, 52211, 76867, 52590, 52674, 53493, 50993, 51456, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 50802, 52436, 59714, 52911, 52656, 58731, 52116, 51431, 50802, 51979, 71966, 53694, 53532, 53319, 52409, 52163, 52211, 50803, 53319, 52651, 52937, 52039, 50803, 53319, 56327, 50803, 50799, 52334, 51184, 52380, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 55708, 51029, 52060, 54024, 51456, 52244, 54595, 61479, 52801, 51326, 51973, 55763, 51520, 53300, 55763, 51779, 52119, 52211, 50803, 51228, 52590, 52674, 52334, 61411, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 67229, 52911, 51224, 52116, 52298, 50802, 51105, 53694, 53532, 50816, 52163, 51723, 52651, 52937, 52211, 56327, 50803, 69494, 51184, 53493, 50803, 51096, 51029, 52060, 54024, 53625, 61411, 52244, 51224, 52801, 53979, 62310, 51973, 52436, 51520, 53300, 52436, 51779, 52119, 60557, 51236, 52674, 51978, 57052, 52057, 76091, 52060, 53609, 52656, 61411, 52284, 52436, 59714, 52911, 51224, 52116, 51978, 65285, 53694, 53532, 50816, 52163, 52891, 50802, 53867, 52937, 65991, 50803, 69494, 50803, 51979, 51184, 51105, 51029, 52060, 54024, 52298, 61411, 52244, 51431, 58731, 52801, 51641, 62310, 51973, 51509, 51599, 53300, 50804, 52119, 51641, 50802, 51105, 52590, 52674, 51456, 52057, 51579, 50802, 71885, 52060, 53609, 51456, 52284, 52264, 67229, 52911, 51224, 52116, 80080, 50953, 53694, 53532, 51509, 52409, 52163, 51641, 52590, 52937, 51289, 50803, 63355, 51184, 52656, 50802, 51325, 51029, 52060, 54024, 51456, 52244, 53493, 58731, 52801, 53786, 61492, 51973, 50798, 53300, 52380, 51812, 52119, 51325, 69987, 52674, 57806, 57052, 52057, 53610, 50993, 51325, 50824, 52060, 53609, 51456, 52284, 51553, 52911, 53786, 58731, 52116, 52833, 69583, 53694, 53532, 53979, 52409, 52163, 52380, 50881, 50598, 52937, 52656, 50881, 50602, 50803, 50799, 53979, 51184, 51228, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 52211, 51520, 53300, 52211, 51779, 52119, 51723, 50803, 51228, 52590, 52674, 52211, 61411 ]
[ 0, 250, 251, 5175, 8, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 20183, 8, 980, 4, 20, 20535, 2810, 8, 38668, 483, 310, 5, 1049, 12049, 150, 5, 3459, 13305, 6, 2236, 1021, 2678, 29, 6, 8, 38668, 3038, 694, 5, 3618, 32343, 4, 85, 16, 278, 11, 230, 538, 8, 34, 10, 7212, 20889, 9, 5962, 741, 1685, 4, 20, 1049, 33215, 16739, 16, 272, 6, 274, 6, 3676, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50752, 50297, 51469, 50752, 50301, 51469, 50752, 50304, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50799, 50752, 50313, 51469, 50799, 50752, 50311, 51469, 50799, 50752, 50309, 51469, 50799, 50752, 50308, 51469, 50799, 53362, 51066, 53359, 51066, 52114, 51066, 50748, 50297, 51469, 50748, 50301, 51469, 50748, 50304, 51469, 50426, 52114, 56158, 52114, 50980, 64499, 51293, 50450, 52114, 50980, 50799, 52114, 56003, 52114, 56158, 52114, 50980, 67623, 51293, 50450, 52114, 50980, 50799, 52114, 51167, 50752, 50316, 51469, 50422, 52114, 51167, 50430, 52114, 68765, 52114, 51167, 50737, 50313, 51293, 50446, 52114, 51167, 50454, 52114, 51167, 50799, 52114, 56003, 52114, 56158, 52114, 50980, 50737, 50309, 53082, 50450, 52114, 50980, 50799, 53362, 51469, 53359, 51469, 52114, 51469, 50799, 50752, 50313, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 50752, 50311, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 50752, 50309, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 50752, 50308, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 53359, 50921, 51816, 50921, 71909, 51469, 66392, 51469, 57017, 51469, 50418, 53168, 50921, 51771, 62991, 53362, 50921, 51890, 55889, 53359, 51285, 52003, 68660, 53897, 50806, 52114, 52931, 55333, 50806, 52003, 50806, 50799, 53362, 50821, 53359, 50821, 71909, 51469, 66392, 51469, 57017, 51469, 50748, 50304, 50980, 50417, 56805, 50821, 52951, 52422, 53795, 51585, 53362, 51585, 50748, 50301, 56158, 50748, 50297, 56812, 50748, 50292, 53898, 50748, 50297, 53898, 50796, 50799, 78534, 51469, 60607, 51469, 54963, 51469, 50799, 78534, 51469, 60607, 51469, 54963, 51469, 50799, 78534, 51469, 60607, 51469, 54963, 51469, 50799, 53795, 50806, 53362, 50806, 55865, 51469, 55912, 51469, 52664, 69097, 53795, 50806, 53362, 50806, 50799, 53795, 50806, 53362, 50806, 57017, 51469, 55865, 51469, 55912, 51469, 52664, 69097, 53795, 50806, 53362, 50806, 50799, 53795, 50806, 53362, 50806, 57017, 51469, 55865, 51469, 55912, 51469, 52664, 69097, 53795, 50806, 53362, 50806, 50799, 53795, 50806, 53362, 50806, 57017, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 52103, 69097, 53795, 50806, 53362, 50806, 50799, 61643, 52570, 50426, 60607, 52570, 50799, 50748, 50304, 51469, 50799, 50748, 50313, 51469, 50799, 50748, 50314, 51469, 50799, 50748, 50313, 51469, 56477, 51469, 50799, 53362, 50980, 50752, 50313, 51469, 50748, 50309, 52570, 65725, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50311, 51469, 56477, 51469, 54744, 52570, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50309, 51469, 55831, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50306, 51469, 65725, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50309, 51469, 60607, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 55865, 52570, 55912, 52570, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 50752, 50311, 51469, 50737, 50309, 50892, 50748, 50304, 51469, 56477, 51469, 53169, 52570, 50420, 50737, 50308, 53770, 73539, 72652, 70614, 73580, 50737, 50304, 51677, 50799, 50752, 50313, 51469, 50748, 50313, 51469, 60607, 51469, 50438, 50737, 50301, 58709, 50737, 50302, 54004, 50737, 50297, 54771, 50737, 50299, 50892, 50799, 50752, 50311, 51469, 50737, 50301, 51448, 50748, 50314, 51469, 65853, 51469, 50438, 50737, 50302, 51448, 50799, 50752, 50309, 51469, 50737, 50309, 51293, 50748, 50313, 51469, 60607, 51469, 50799, 51890, 50980, 78534, 50980, 61643, 52570, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 56003, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 56003, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 56003, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 53169, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 55161, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 54744, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 61643, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 64499, 51293, 53169, 51469, 50799, 67623, 51293, 55161, 51469, 50799, 50737, 50313, 51293, 54744, 51469, 50799, 50737, 50309, 51293, 61643, 51469, 50799, 52114, 50980, 50752, 50304, 51469, 64499, 51293, 53169, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50302, 51469, 67623, 51293, 55161, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50301, 51469, 50737, 50313, 51293, 54744, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50297, 51469, 50737, 50309, 51293, 61643, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 53169, 50980, 50425, 52114, 51160, 55161, 51160, 50434, 52114, 51160, 54744, 51160, 50443, 52114, 51160, 61643, 51160, 50452, 52114, 50980, 62546, 50980, 50799, 52114, 50980, 51959, 51469, 53091, 51469, 74009, 50980, 50425, 52114, 51160, 61643, 51160, 50434, 52114, 51160, 56195, 51160, 50443, 52114, 51160, 55161, 51160, 50452, 52114, 50980, 52517, 50980, 50799, 52114, 50980, 52158, 51469, 54142, 51469, 53169, 50980, 50425, 52114, 51160, 55161, 51160, 50434, 52114, 51160, 54744, 51160, 50443, 52114, 51160, 61643, 51160, 50452, 52114, 50980, 62546, 50980, 50799, 52114, 50980, 51816, 51469, 53956, 51469, 74009, 50980, 50425, 52114, 51160, 61643, 51160, 50434, 52114, 51160, 56195, 51160, 50443, 52114, 51160, 55161, 51160, 50452, 52114, 50980, 52517, 50980, 50799, 52114, 50980, 51890, 51469, 54963, 51469, 53169, 50980, 50425, 52114, 51160, 55161, 51160, 50434, 52114, 51160, 54744, 51160, 50443, 52114, 51160, 61643, 51160, 50452, 52114, 50980, 62546, 50980, 50799, 52114, 50980, 50752, 50304, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 74009, 50980, 50425, 52114, 51160, 61643, 51160, 50434, 52114, 51160, 56195, 51160, 50443, 52114, 51160, 55161, 51160, 50452, 52114, 50980, 52517, 50980, 50799, 52114, 50980, 50752, 50313, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50314, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50313, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 50752, 50309, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50799, 53362, 50980, 56477, 50980, 53169, 64664, 52517, 56092, 52456, 63267, 52517, 53336, 53169, 59013, 54744, 55133, 56195, 62518, 53362, 51160, 56477, 51160, 55161, 51160, 50434, 53362, 51160, 56477, 51160, 54744, 51160, 50443, 53362, 51160, 56477, 51160, 61643, 51160, 50452, 53362, 50980, 56477, 50980, 62546, 50980, 50799, 53362, 50980 ]
[ 0, 250, 19448, 5175, 2214, 19, 10, 15352, 30054, 483, 702, 30, 10, 2382, 3459, 8669, 8, 5730, 2342, 4467, 6, 7513, 30, 38668, 22052, 8, 3038, 6, 8, 2800, 30, 10, 5204, 12638, 1451, 4, 20, 2125, 16, 11, 211, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 12447, 1001, 20889, 1328, 6, 19, 5, 33215, 16739, 272, 119, 1176, 406, 6, 211, 6, 83, 6, 8, 211, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 52563, 50836, 52016, 52096, 51678, 52096, 52252, 52096, 51185, 51318, 51020, 51742, 56337, 51115, 79169, 50866, 61289, 51987, 51129, 50415, 51208, 51452, 50935, 55085, 74959, 50935, 51267, 77643, 80194, 62589, 50848, 51480, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 51208, 51295, 57890, 51218, 50935, 61529, 51174, 80194, 65975, 62587, 58455, 57481, 79169, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 58507, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 51020, 50915, 54531, 51003, 50848, 57885, 51109, 58706, 51406, 52823, 51129, 50451, 50935, 77948, 77841, 80194, 59506, 50920, 51258, 52563, 64779, 51318, 56337, 51310, 79169, 50866, 52166, 51987, 51129, 62951, 55085, 74959, 50935, 51267, 77643, 80194, 62589, 50848, 51480, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 57890, 51295, 50935, 61529, 51174, 80194, 65975, 51208, 51218, 62587, 58455, 57481, 79169, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 58507, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 54531, 60871, 57885, 51109, 58706, 51406, 52823, 51129, 50451, 51020, 51109, 50935, 77948, 50927, 56895, 53495, 59506, 50920, 51258, 52563, 64779, 51318, 56337, 51310, 79169, 50866, 52166, 51987, 51129, 62951, 55085, 74959, 50935, 51267, 77643, 80194, 62589, 50848, 51480, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 51208, 51218, 57890, 51295, 50935, 61529, 51174, 80194, 65975, 62587, 58455, 57481, 79169, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 58507, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 51020, 51003, 54531, 51003, 50848, 57885, 51109, 58706, 51406, 52823, 51129, 50451, 50935, 77948, 77841, 80194, 59506, 51282, 51803, 50920, 51258, 50460, 51083, 51742, 52288, 50836, 52016, 52096, 52582, 52096, 51701, 52096, 51268, 51742, 55838, 51310, 50848, 57062, 50866, 52166, 51987, 51129, 50415, 51268, 51218, 51023, 51452, 50850, 55085, 50927, 62663, 51109, 50944, 51253, 80194, 62589, 50848, 51775, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 56761, 50927, 51377, 54629, 51397, 50850, 71794, 51174, 80194, 65975, 51023, 51562, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 62100, 55040, 50927, 55792, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 51205, 56611, 50915, 50944, 51109, 58706, 51406, 52823, 51129, 50451, 69816, 50456, 51069, 56895, 53495, 59506, 51083, 51803, 50920, 51258, 50460, 51268, 51742, 52288, 66146, 51115, 51023, 51742, 55995, 51310, 50848, 57062, 50866, 52166, 51987, 51129, 50415, 51092, 51452, 50909, 55085, 65495, 50909, 51267, 50944, 51312, 80194, 62589, 50848, 51480, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 56761, 50927, 51377, 51023, 51218, 54629, 51218, 50909, 71794, 51174, 80194, 65975, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 76858, 55040, 50927, 57750, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 51205, 50849, 51268, 50943, 55838, 51056, 70985, 50944, 51109, 58706, 51406, 52823, 51129, 73466, 77948, 74381, 80194, 59506, 50920, 51258, 52288, 66146, 51115, 55995, 51318, 50848, 57062, 50866, 52166, 51987, 51129, 60043, 55085, 65495, 50909, 51267, 50944, 51312, 80194, 62589, 50848, 51480, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 56761, 50927, 51377, 54629, 51295, 50909, 71794, 51174, 80194, 65975, 51023, 51218, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 76858, 55040, 50927, 57750, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 51205, 50849, 51268, 50943, 55838, 51267, 70985, 50944, 51109, 58706, 51406, 52823, 51129, 73466, 77948, 51069, 56895, 53495, 59506, 50920, 51258, 52288, 66146, 51115, 55995, 51310, 50848, 57062, 50866, 52166, 51987, 51129, 60043, 55085, 65495, 50909, 51267, 50944, 51312, 80194, 62589, 50848, 51480, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 79956, 51208, 51218, 50432, 50927, 51377, 57890, 51295, 50909, 71794, 51174, 80194, 65975, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 76858, 55040, 50927, 57750, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 60943, 54629, 51003, 70985, 50944, 51109, 58706, 51406, 52823, 51129, 50451, 51208, 62431, 51109, 50454, 51023, 51645, 50456, 77841, 80194, 59506, 50920, 51258, 50460, 51401, 51803, 50461, 51083, 51742, 52563, 50836, 52016, 52096, 51678, 52096, 52252, 52096, 54531, 52151, 79169, 50866, 52166, 51987, 51129, 50415, 51020, 51419, 51020, 51742, 63833, 50417, 51208, 51452, 50420, 74959, 50935, 51312, 67591, 80194, 62589, 50848, 51775, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 50935, 60025, 51254, 80194, 65975, 62587, 58455, 57481, 50848, 56238, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 57769, 51254, 80194, 71102, 64730, 61296, 56663, 51019, 56611, 50981, 77643, 58706, 51406, 52823, 51129, 50451, 50935, 51312, 50456, 50927, 56895, 53495, 59506, 50920, 51258, 52563, 59495, 56238, 50987, 52166, 51987, 51129, 62951, 61062, 74959, 50935, 51312, 50847, 51380, 80194, 62589, 79267, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 50935, 57769, 51174, 80194, 65975, 64730, 58455, 57481, 50848, 56713, 50987, 52166, 51987, 51129, 70031, 61255, 50953, 57618, 61529, 71551, 51750, 69415, 52823, 71102, 62587, 61296, 56663, 51019, 56611, 50995, 67591, 58706, 51406, 61852, 53127, 51129, 50451, 50935, 51253, 50456, 77841, 51289, 55033, 53495, 59506, 50920, 51258, 52563, 50840, 55464, 51293, 52016, 51293, 52252, 51293, 54619, 51364, 50848, 55196, 50977, 59468, 51987, 51129, 50415, 62728, 50420, 59287, 50935, 51056, 76322, 69134, 60916, 50848, 74989, 65495, 54768, 51187, 52667, 50953, 51162, 55857, 50896, 50935, 51056, 76322, 51960, 50433, 50848, 51411, 69615, 52986, 50953, 58778, 57769, 51006, 51960, 50445, 50848, 64533, 62008, 54580, 56747, 55196, 50977, 54768, 51187, 52270, 55223, 50935, 59960, 50927, 57618, 56785, 51006, 51960, 50457, 58856, 52563, 50840, 55464, 51293, 52016, 51293, 51716, 51310, 54619, 51235, 50848, 55196, 50977, 51897, 57666, 58056, 50420, 59287, 50909, 51056, 76322, 69134, 60916, 50848, 74989, 65495, 54768, 51187, 52667, 50953, 51162, 52252, 51742, 50935, 51056, 76322, 51960, 50433, 50848, 72652, 55857, 50980, 51897, 52986, 50953, 58778, 57769, 51006, 51960, 50445, 50848, 64533, 62008, 53200, 50980, 50848, 55196, 50977, 54768, 51187, 52270, 55223, 50935, 59960, 50927, 57618, 56785, 74728, 62107, 58856, 52534, 50840, 52233, 51293, 52091, 51293, 51716, 51293, 53719, 51274, 50868, 55196, 50977, 51897, 57666, 58056, 50420, 60654, 50909, 51056, 76322, 69134, 60916, 50868, 74989, 51443, 50938, 54768, 51187, 52667, 50964, 51162, 52817, 51364, 50909, 51056, 76322, 51960, 50433, 50868, 51411, 69615, 52986, 50964, 59092, 57769, 51006, 51960, 79581, 64533, 61002, 53719, 51345, 50868, 55196, 50977, 54768, 51187, 52270, 55223, 58056, 50456, 51443, 57750, 56785, 51006, 51960, 50457, 64663, 52563, 50840, 55464, 51293, 52016, 51293, 52252, 51293, 53200, 51160, 50848, 55196, 50977, 51897, 57666, 62728, 50420, 59287, 50935, 51056, 76322, 69134, 60916, 50848, 74989, 65495, 51083, 50889, 54768, 51187, 52667, 50953, 51162, 50935, 51056, 76322, 51960, 50433, 50848, 72652, 51595, 50889, 51897, 52986, 50953, 58778, 57769, 51006, 51960, 50445, 50848, 64533 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 13134, 16882, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 2020, 3548, 6, 17691, 28430, 6, 32909, 6, 8, 31391, 1672, 9590, 6, 70, 8216, 7, 63, 12298, 1619, 16464, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2125, 11498, 10, 7212, 20889, 6, 24826, 198, 10, 33215, 16739, 9, 230, 6, 272, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50444, 51516, 58038, 51516, 60077, 51516, 50987, 69296, 50987, 51639, 50987, 51516, 50987, 51280, 51391, 51416, 77952, 51153, 52071, 51639, 52071, 51516, 52071, 50432, 51153, 53913, 51639, 51312, 51516, 51312, 51416, 52728, 51153, 51312, 62673, 52071, 51512, 52071, 51153, 52071, 51435, 52071, 51132, 67729, 51435, 58192, 51435, 60539, 52070, 58346, 51516, 50987, 51416, 51204, 50444, 51153, 51391, 51639, 51391, 65237, 51391, 51099, 53082, 51429, 53082, 51275, 53082, 51137, 51191, 50432, 51429, 53913, 51275, 51312, 51435, 51312, 51137, 52728, 51429, 51312, 65237, 51391, 51099, 51391, 51137, 57345, 51429, 53913, 51099, 50987, 51429, 50987, 51275, 50987, 51275, 51312, 51435, 51312, 51684, 51204, 50444, 51429, 50987, 51275, 50987, 51435, 58038, 51429, 50987, 51275, 50987, 51435, 50987, 51429, 51312, 50456, 51429, 50987, 51275, 50987, 51435, 50987, 66301, 50987, 51429, 50987, 51275, 50987, 51435, 50987, 51869, 51391, 51099, 51391, 52993, 67729, 51099, 52071, 51429, 52071, 51275, 52071, 51435, 52071, 50432, 51429, 58346, 51275, 51312, 51435, 51312, 51684, 65114, 51429, 51312, 68795, 66301, 52071, 51429, 52071, 51275, 52071, 51435, 52071, 51137, 77952, 51099, 50987, 51429, 50987, 51275, 50987, 51435, 58192, 51099, 50987, 51429, 50987, 51275, 50987, 51435, 60539, 51099, 50987, 51429, 50987, 51275, 50987, 52070, 58346, 51099, 50987, 51429, 50987, 51275, 50987, 51516, 50987, 51137, 53218, 51099, 51391, 51429, 51391, 51275, 51391, 60603, 51312, 51561, 51448, 51099, 51448, 51153, 51448, 51416, 75749, 51099, 51312, 51153, 51312, 51639, 79881, 51708, 51312, 51119, 51312, 51494, 51448, 51153, 51448, 51275, 51448, 51181, 70269, 51494, 51312, 51153, 51312, 51275, 51312, 63515, 53366, 51255, 55338, 51269, 52146, 50912, 52162, 50984, 51137, 69561, 57162, 50984, 50415, 53560, 53220, 51198, 50844, 52040, 50942, 51099, 50897, 51429, 50937, 52066, 50427, 52162, 51126, 52146, 51319, 55338, 50982, 53560, 50835, 55703, 56006, 53366, 51255, 55338, 51297, 52162, 51126, 52554, 50907, 51137, 69561, 55918, 50984, 50439, 52879, 60801, 51198, 50844, 52040, 50942, 51144, 50897, 51099, 50937, 52066, 50451, 52162, 51126, 52554, 51000, 55338, 51297, 52879, 50904, 55779, 50984, 67719, 50938, 51964, 51255, 62967, 51297, 52344, 51126, 52391, 50907, 51416, 69561, 57162, 50984, 50415, 52850, 58387, 51744, 56412, 51579, 50938, 51280, 50844, 51706, 50942, 51232, 50897, 51099, 50937, 52066, 50427, 52344, 51126, 52391, 51000, 62967, 51297, 52850, 54854, 51744, 50938, 55703, 56006, 51431, 51204, 53366, 51351, 62967, 51269, 51416, 53305, 55918, 50984, 50439, 52391, 50984, 52344, 51022, 50440, 52850, 55256, 51280, 50810, 51706, 50925, 51232, 50910, 51099, 50897, 50903, 57546, 50451, 52391, 51000, 52344, 51000, 62967, 51129, 52850, 50864, 55779, 50984, 62871, 51255, 59235, 51269, 51891, 50912, 52344, 50984, 51132, 69561, 57162, 50984, 50415, 52879, 54711, 52211, 56412, 51898, 50938, 51280, 50844, 51708, 50942, 51144, 50897, 51119, 50937, 52066, 50427, 52344, 51126, 51891, 51319, 59235, 50982, 52879, 52818, 51431, 50938, 55703, 56006, 51641, 50938, 51964, 51351, 59235, 51297, 52344, 51319, 51891, 51000, 51132, 53305, 55918, 50984, 50439, 52879, 54915, 51485, 50938, 51280, 50810, 51708, 50925, 73647, 51119, 50897, 52879, 50904, 52344, 51126, 51891, 51126, 59235, 51297, 52066, 50458, 51891, 52465, 50984, 63355, 53090, 51964, 51255, 62967, 51297, 52181, 51126, 52850, 50907, 51416, 69561, 57162, 50984, 50415, 53560, 57051, 51232, 50844, 51280, 50942, 51099, 50897, 51153, 50937, 52066, 50427, 52181, 51126, 52850, 51000, 62967, 51297, 53560, 50904, 55703, 56006, 53366, 51351, 62967, 51269, 51416, 53305, 55918, 50984, 50439, 52850, 50984, 52181, 51022, 50440, 53560, 55256, 51232, 50810, 51280, 50925, 51099, 50910, 79305, 50903, 57546, 50451, 52850, 51000, 52181, 51000, 62967, 51129, 53560, 50864, 55779, 50984, 58637, 51255, 62967, 51269, 52391, 50912, 52344, 50984, 51416, 63524, 57162, 50984, 50415, 52850, 53220, 51280, 50844, 51706, 50942, 51232, 50897, 51099, 50937, 52066, 50427, 52344, 51126, 52391, 51319, 62967, 50982, 52850, 50835, 55703, 56006, 53366, 51351, 62967, 51297, 52344, 51319, 52391, 51000, 52993, 68393, 55918, 50984, 50439, 52850, 54915, 51280, 50810, 51706, 50925, 51232, 50910, 51099, 50897, 52850, 50904, 52344, 51126, 52391, 51126, 62967, 51297, 52066, 50458, 51891, 52465, 50984, 62871, 51255, 59235, 51269, 51891, 50912, 52344, 50984, 51132, 63524, 57162, 50984, 50415, 52879, 54711, 51898, 56412, 51431, 50938, 51280, 50844, 51708, 50942, 51144, 50897, 51119, 50937, 52066, 50427, 52344, 51126, 51891, 51319, 59235, 50982, 52879, 52818, 51485, 51077, 55703, 56006, 51964, 51351, 59235, 51297, 52344, 51319, 51891, 51000, 51416, 68393, 55918, 50984, 50439, 52879, 54915, 51280, 50810, 51708, 50925, 73647, 51119, 50897, 52879, 50904, 52344, 51126, 51891, 51126, 59235, 50366, 51698, 57546, 50458, 51891, 52465, 50984, 62871, 51255, 51132, 69561, 57162, 50984, 50415, 59235, 52731, 51891, 51376, 52344, 51824, 50416, 52879, 77686, 52211, 56412, 51898, 50938, 51280, 50844, 51708, 50942, 51144, 50897, 51119, 50937, 52066, 50427, 59235, 51297, 52344, 50971, 51891, 51000, 52879, 54860, 51431, 78446, 52879, 70196, 59037, 51891, 64212, 51641, 50938, 51964, 51351, 59235, 54861, 52344, 52518, 51132, 53305, 55918, 50984, 50439, 51891, 51376, 52879, 57299, 51485, 50938, 51280, 50810, 51708, 50925, 73647, 51119, 50897, 59235, 51693, 52344, 50907, 51891, 51022, 52066, 50451, 52879, 62309, 52879, 57328, 62065, 51891, 51306, 63355, 53090, 51964, 51255, 51416, 69561, 57162, 50984, 50415, 62967, 52731, 52850, 51376, 52181, 51824, 50416, 53560, 70236, 51232, 50844, 51280, 50942, 51099, 50897, 51153, 50937, 52066, 50427, 62967, 51297, 52181, 50971, 52850, 51000, 53560, 61075, 53560, 70196, 59037, 52850, 64212, 53366, 51351, 62967, 54861, 52181, 52518, 51416, 53305, 55918, 50984, 50439, 52850, 51376, 53560, 51006, 53526, 61013, 51232, 50810, 51280, 50925, 51099, 50910, 79305, 62967, 51693, 52181, 50907, 52850, 67963, 54553, 50984, 52066, 50451, 53560, 62309, 53560, 57328, 62065, 52850, 51306, 58637, 51255, 62967, 51824, 51416, 63524, 57162, 50984, 50415, 52850, 51166, 52181, 52192, 53560, 51470, 50422, 51950, 51534, 50426, 51232, 50844, 51280, 50942, 51099, 50897, 51153, 50937, 52850, 51210, 52181, 51210, 52066, 50427, 53560, 64755, 53101, 62743, 51802, 51254, 53560, 72168, 59037, 52181, 51319, 52850, 61389, 52285, 51481, 53366, 51351, 62967, 51524, 52181, 51524, 52850, 51365, 52993, 68393, 55918, 50984, 50439, 53560, 62182, 51784, 60649, 52355, 52482, 51232, 50810, 51280, 50925, 51099, 50910, 79305, 52181, 50912, 52850, 51210, 52066, 50451, 53560, 64479, 52278, 51008, 52850, 51550, 52181, 57284, 62065, 53560, 51297, 50799, 52298, 50938, 53366, 51255, 55338, 52179, 52554, 51376, 52162, 51365, 51137, 69561, 57162, 50984, 50415, 52879, 77946, 51485, 56412, 52298, 50938, 51198, 50844, 52040, 50942, 51144, 50897, 51099, 50937, 52066, 50427, 52162, 51123, 52554, 51000, 52879, 50827, 55338, 58467, 52039, 51077, 55703, 56006, 52176, 51351, 52162, 52192, 55338, 52167, 52554, 51524, 51137, 53305, 55918, 50984, 50440, 52879, 59038, 51198, 50810, 52040, 50925, 73647, 51099, 50897, 52162, 72666, 57546, 50451 ]
[ 0, 713, 8787, 3495, 8, 3152, 24904, 2125, 6, 278, 11, 274, 10431, 3694, 6, 16, 10, 13363, 28191, 11739, 9, 33301, 8, 15073, 4, 11281, 33938, 8669, 6, 3459, 8669, 6, 8, 3152, 6757, 185, 5, 483, 6, 150, 6168, 3540, 8, 17605, 9590, 1606, 5581, 7, 5, 15229, 4, 590, 10, 20889, 9, 12730, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 41, 12447, 1001, 2877, 1328, 6, 4246, 10, 16331, 33215, 16739, 9, 2060, 119, 406, 6, 230, 10431, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50752, 50303, 51492, 50752, 50315, 51492, 50746, 50291, 52737, 50660, 50356, 50800, 79146, 52115, 50660, 50355, 50800, 50682, 50293, 50795, 50682, 50300, 60751, 50682, 50300, 51631, 79145, 61156, 50682, 50310, 74212, 50682, 50300, 65727, 50682, 50290, 51736, 50660, 50356, 50800, 50682, 50290, 50795, 50682, 50293, 57775, 50682, 50278, 68405, 50682, 50310, 51646, 50682, 50300, 54789, 50682, 50307, 51918, 50660, 50348, 50800, 50660, 50355, 50800, 50682, 76854, 79146, 53658, 67092, 50800, 79146, 64751, 77815, 55000, 50682, 50308, 72623, 50682, 50308, 51923, 62636, 54093, 50682, 50290, 50795, 50682, 50312, 50795, 50460, 79145, 50795, 79145, 50795, 50682, 76854, 50799, 62811, 56025, 50682, 50307, 55728, 50660, 50350, 50800, 79146, 50795, 50418, 50682, 50300, 52115, 62636, 53471, 50682, 50307, 59474, 50682, 50307, 52329, 50682, 50307, 50809, 50682, 50336, 50795, 50682, 50315, 64977, 50682, 50298, 50795, 50682, 50305, 54056, 79916, 50800, 50682, 50290, 74212, 50682, 50303, 52359, 50660, 50348, 57659, 50682, 50279, 57775, 50682, 50302, 53505, 50682, 50278, 50795, 50436, 50682, 50310, 68405, 50682, 50279, 51646, 62636, 65213, 50682, 50308, 50795, 50442, 50682, 50281, 51918, 62636, 50800, 50660, 50351, 50800, 50682, 50312, 50795, 50448, 50682, 50315, 50795, 50682, 50315, 51798, 51206, 50374, 55550, 76167, 58614, 50682, 50298, 55000, 57009, 50800, 58301, 58740, 50682, 50305, 54093, 50682, 50272, 50795, 50460, 50682, 50276, 69189, 50682, 50300, 50795, 57739, 50660, 50350, 50800, 50660, 50353, 56025, 50619, 50416, 50619, 58023, 55728, 50620, 50418, 50620, 50419, 50620, 50420, 50620, 50660, 50355, 60721, 50621, 50422, 50621, 50682, 50284, 53471, 50621, 50682, 50302, 50795, 50682, 50302, 50795, 50682, 50308, 79818, 50621, 50682, 50334, 67895, 50622, 50426, 50622, 79916, 50795, 50660, 50351, 61156, 50622, 50428, 50622, 50682, 50276, 54253, 50622, 50430, 50623, 50431, 50623, 50432, 50623, 50433, 50623, 50682, 50303, 57775, 50624, 50682, 50291, 53505, 50624, 50436, 50624, 50437, 50624, 50438, 50623, 50439, 50624, 50682, 50303, 51036, 50440, 50624, 50441, 50624, 50442, 50625, 50443, 50625, 50444, 50625, 50445, 50625, 50446, 50626, 50447, 50626, 50448, 50626, 50449, 50627, 50450, 50627, 50451, 50627, 50452, 50627, 50453, 50628, 50454, 50628, 50455, 50628, 50456, 50628, 50913, 77050, 57503, 50811, 50682, 50291, 70940, 50629, 50458, 50629, 50459, 50629, 50460, 50630, 50461, 50630, 57739, 67408, 50807, 55683, 50807, 55393, 51054, 50415, 50630, 50420, 51925, 52329, 67408, 50807, 55683, 50807, 57953, 51552, 50438, 55683, 50795, 61906, 50807, 51545, 50983, 51659, 60865, 54570, 50795, 55022, 50795, 51925, 52555, 61906, 50795, 54570, 50795, 59254, 53312, 61906, 50795, 54570, 50795, 51545, 50983, 51659, 50983, 50799, 54744, 50795, 52517, 50795, 53633, 58808, 52517, 50795, 55683, 50807, 54931, 50795, 51925, 52329, 52456, 50795, 51545, 51358, 51659, 51358, 50432, 55683, 50983, 52456, 50983, 54330, 51527, 50444, 51769, 52884, 51545, 51358, 51659, 51358, 50913, 77050, 57503, 50811, 50682, 50291, 50905, 50799, 74009, 50807, 54744, 50807, 53797, 61304, 51925, 52329, 74009, 50807, 54744, 50807, 54289, 51552, 50438, 74009, 50795, 54744, 50795, 51545, 50983, 51659, 60865, 74009, 50795, 54744, 50795, 53797, 50795, 51925, 52555, 74009, 50795, 54744, 50795, 54289, 51923, 74009, 50795, 54744, 50795, 51545, 50918, 51659, 50918, 53797, 50795, 50799, 67408, 50795, 55683, 50795, 55393, 52115, 67408, 50807, 55683, 50807, 57953, 50807, 51925, 52329, 52005, 52726, 67408, 50983, 55683, 50983, 51545, 50918, 51659, 50918, 57953, 50918, 52005, 52940, 51769, 52884, 51545, 51358, 51659, 51358, 50913, 77050, 57503, 50811, 50682, 50291, 50905, 50799, 67408, 50807, 55683, 50807, 53216, 50807, 55393, 61304, 51925, 52329, 67408, 50807, 55683, 50807, 53216, 50807, 57953, 51552, 50438, 61906, 50807, 54570, 50807, 52456, 50807, 51545, 50983, 51659, 60865, 55022, 50795, 51925, 52555, 61906, 50795, 54570, 50795, 52456, 50795, 59254, 53312, 61906, 50795, 54570, 50795, 52456, 50795, 51545, 50983, 51659, 50983, 50799, 54744, 50795, 52517, 50795, 52708, 50795, 53633, 58808, 54744, 50795, 52517, 50795, 52708, 50795, 54931, 50795, 51925, 52329, 55683, 50795, 52456, 50795, 52753, 50795, 51545, 50983, 51659, 50983, 52005, 52726, 55683, 50983, 52456, 50983, 52753, 50983, 54330, 51527, 52005, 52940, 51545, 50923, 51659, 50923, 51769, 52768, 51545, 51923, 51545, 52311, 51659, 52311, 51780, 52311, 50913, 77050, 57503, 50811, 50682, 50291, 50905, 50799, 74009, 50807, 54744, 50807, 53797, 61304, 51925, 52329, 74009, 50807, 54744, 50807, 54289, 51552, 50438, 74009, 50795, 54744, 50795, 51545, 50983, 51659, 50983, 51780, 60865, 74009, 50795, 54744, 50795, 53797, 50795, 51925, 52555, 74009, 50795, 54744, 50795, 54289, 68174, 55683, 50795, 51545, 50918, 51659, 50918, 51780, 50918, 52591, 52525, 50795, 53797, 50802, 51925, 52329, 54289, 61511, 52525, 50983, 51545, 50918, 51659, 50918, 51780, 56027, 54289, 61828, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50824, 52753, 50824, 51545, 50923, 51659, 71535, 52768, 51726, 50905, 54330, 51923, 52753, 50807, 52525, 50807, 51726, 50845, 60915, 51054, 50799, 51545, 51054, 51659, 51054, 51925, 52628, 52753, 50918, 52525, 50918, 51321, 52968, 51726, 50845, 60915, 51358, 50432, 51545, 51527, 51659, 51527, 51781, 75362, 51769, 52940, 51321, 52884, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50795, 52753, 50795, 51545, 50923, 51659, 50923, 51781, 71535, 52768, 52708, 51029, 52077, 51029, 51990, 50905, 55160, 51923, 51990, 50845, 69577, 50983, 50799, 51545, 50923, 51659, 50923, 51925, 52628, 52708, 51009, 52077, 51009, 51990, 50866, 51321, 52968, 51990, 50845, 69577, 57345, 51729, 51527, 51659, 75362, 51769, 52940, 51321, 52884, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50795, 52753, 50795, 51545, 50923, 51659, 50923, 51781, 71535, 52768, 52753, 51029, 52525, 51029, 51726, 50905, 54330, 51923, 51726, 50923, 60915, 51054, 50799, 51545, 50923, 51659, 50923, 51925, 52628, 52753, 51407, 52525, 51407, 51726, 50849, 60915, 60089, 52968, 51726, 50849, 60915, 51358, 50432, 51545, 51527, 51659, 51527, 51781, 75362, 51769, 52940, 51321, 52884, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50795, 52753, 50795, 51545, 50923, 51659, 50923, 51781, 71535, 52768 ]
[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 533, 7, 28, 341, 25, 10, 19834, 4, 20, 15229, 16, 11, 230, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 6711, 7630, 6568, 10, 1472, 9, 15073, 6, 9733, 6, 8, 15352, 30054, 30368, 6, 442, 24, 10686, 13, 822, 50, 177, 9629, 4, 20, 33215, 16739, 1171, 211, 119, 406, 6, 272, 119, 6, 163, 43531, 6, 272, 119, 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 ]	[ 54458, 50417, 52342, 50976, 50424, 52662, 60066, 52205, 57925, 52662, 61147, 53382, 53609, 53640, 52284, 53382, 50976, 50451, 58683, 58403, 57082, 56575, 53571, 50976, 58683, 51407, 52177, 53249, 52244, 53029, 59174, 53249, 50976, 50430, 52550, 56861, 53296, 57880, 52550, 50976, 53382, 53681, 52292, 52911, 52740, 57365, 54066, 50803, 52292, 51066, 50454, 53382, 56575, 53640, 56771, 73588, 51809, 52205, 52244, 52342, 52801, 52416, 56998, 52044, 58874, 51975, 57476, 52443, 57880, 52242, 62281, 52049, 60254, 52292, 59981, 52573, 52116, 52550, 58268, 53296, 56250, 53382, 50976, 53249, 50824, 52292, 50824, 51809, 53640, 52244, 52662, 52801, 52205, 50976, 53296, 51059, 52740, 51059, 52049, 51059, 50430, 52342, 79290, 66387, 53296, 50824, 52740, 50824, 52049, 50824, 50440, 52416, 60254, 52044, 52911, 51975, 52116, 53382, 50976, 53249, 50824, 52292, 50824, 50457, 53640, 56771, 73588, 51809, 52205, 50976, 53296, 51059, 52740, 51059, 52049, 51059, 50423, 52342, 50976, 50430, 66387, 52049, 50824, 53296, 51059, 52740, 51059, 50433, 52416, 58198, 52044, 62281, 51975, 55380, 53382, 50976, 53249, 50824, 52292, 54145, 53640, 58268, 52662, 57303, 66292, 53296, 50824, 52740, 50824, 52049, 73300, 66387, 51809, 52416, 60442, 52044, 52801, 51975, 51066, 55411, 51795, 52550, 51795, 50426, 54081, 53300, 53382, 70245, 52205, 58198, 52662, 62281, 52342, 60254, 52205, 59116, 52416, 52116, 52342, 53532, 52044, 52163, 52205, 73481, 52797, 50803, 51601, 51975, 60442, 52797, 58026, 51975, 51352, 50425, 52049, 53300, 52242, 52119, 52292, 58198, 52049, 57149, 52740, 60295, 52292, 59116, 52573, 57891, 52049, 62103, 53895, 52163, 52550, 52937, 53895, 50803, 51601, 52550, 51352, 50418, 53029, 59236, 53249, 57615, 53571, 60066, 53029, 57925, 55342, 52674, 53571, 52057, 55061, 60295, 53029, 57276, 60730, 57891, 55411, 51407, 50456, 52205, 50976, 51601, 52205, 50976, 52550, 51059, 50422, 52205, 50976, 50428, 52662, 50811, 52550, 50824, 50431, 52205, 59009, 52662, 54496, 52205, 57784, 53731, 61746, 52205, 60681, 54066, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50449, 54081, 50976, 50455, 52662, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50799, 52205, 51059, 50421, 53895, 51059, 52292, 51059, 52049, 51059, 50428, 52342, 75993, 52416, 50976, 52049, 50824, 52550, 51059, 50442, 52205, 50976, 50448, 52205, 50976, 52550, 51059, 52049, 51059, 50455, 52205, 50976, 50799, 52662, 50811, 52550, 50824, 52049, 50824, 50416, 52205, 60208, 52662, 59852, 52205, 54381, 53731, 58099, 52205, 58860, 54066, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50434, 54081, 77051, 52662, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50448, 52205, 51059, 50455, 53895, 51059, 52292, 51059, 52049, 51059, 50461, 52342, 50976, 52591, 52416, 50976, 52550, 51059, 52049, 51059, 50427, 52205, 72371, 52550, 50976, 52205, 50976, 52049, 51066, 50440, 52205, 72992, 53640, 50976, 52550, 50824, 52049, 66395, 54073, 50976, 50461, 53640, 50803, 53882, 50824, 52443, 50824, 51809, 54073, 52244, 52205, 52801, 52342, 51973, 53882, 50976, 54073, 50976, 52443, 51066, 50433, 54073, 50976, 50440, 53382, 50976, 52573, 50824, 52443, 63058, 53640, 72590, 53382, 50803, 53334, 50824, 52443, 50824, 50457, 53640, 58055, 54073, 50803, 51809, 52205, 60442, 53334, 50976, 53640, 50976, 52443, 62819, 53640, 50976, 50433, 57557, 50976, 52740, 51059, 51975, 51059, 50439, 53382, 74961, 57557, 50803, 52292, 50824, 51975, 77827, 53382, 53532, 53640, 52163, 54073, 58055, 53382, 50976, 52292, 50824, 51975, 50824, 52478, 54066, 58026, 60914, 57615, 54066, 50976, 53322, 51059, 51975, 68025, 53382, 50976, 50439, 54081, 50803, 52049, 51407, 50442, 53382, 57276, 54066, 57891, 52205, 62103, 54073, 52163, 53640, 52937, 53382, 50803, 50799, 52044, 62180, 52895, 59236, 52342, 59174, 52205, 60066, 51975, 57925, 52797, 59184, 52049, 52057, 53324, 53609, 53322, 57276, 52049, 59550, 52573, 57365, 53334, 58403, 53895, 56575, 52550, 50803, 50799, 53029, 54024, 54769, 52244, 56280, 59174, 53029, 64262, 55061, 57925, 56495, 56861, 60730, 57880, 55411, 60815, 57354, 50976, 50451, 57354, 55552, 65548, 59730, 57354, 58150, 65548, 59616, 59112, 50811, 50799, 65548, 55804, 59112, 51059, 50424, 52205, 60648, 52205, 50976, 53029, 73018, 52205, 50976, 50445, 52205, 50976, 52049, 51059, 50452, 52205, 50976, 50459, 53640, 50811, 52049, 50824, 53029, 51407, 50461, 54073, 50811, 51601, 53640, 55804, 54073, 53213, 53640, 57646, 54073, 58242, 53640, 50811, 52292, 58595, 54073, 54935, 53640, 58221, 54073, 50811, 53334, 50976, 50433, 52205, 54496, 54073, 51795, 50438, 58683, 50976, 53029, 50824, 52292, 77189, 60914, 59550, 54066, 57365, 52292, 51059, 53382, 51059, 53029, 51407, 52177, 53334, 50976, 54081, 51059, 50424, 52573, 50976, 50430, 53029, 50824, 53334, 51059, 52205, 51029, 53382, 51029, 50445, 56280, 50824, 53334, 50824, 50452, 54066, 58403, 60914, 56575, 58683, 50811, 56280, 50824, 53334, 73300, 60914, 50811, 51601, 58683, 55804, 60914, 60861, 58683, 57646, 60914, 58242, 58683, 50811, 56280, 50824, 53334, 54107, 60914, 61347, 58683, 58221, 60914, 59009, 54066, 54496, 53382, 57784, 53382, 50803, 53029, 57699, 54081, 52284, 52662, 59550, 52205, 57365, 77155, 52205, 50824, 66262, 50824, 50455, 52292, 56575, 53334, 56771, 52573, 50803, 52177, 52550, 50803, 52205, 50824, 66262, 54226, 53296, 59174, 54769, 56998, 53029, 58874, 66262, 50976, 54073, 50824, 53571, 51059, 50437, 58683, 60815, 58683, 50803, 53571, 50824, 52292, 50824, 54073, 63058, 60914, 57365, 60914, 58268, 54066, 57303, 54066, 50803, 53571, 50824, 52292, 50824, 52342, 73300, 53382, 50803, 51809, 54081, 60442, 53382, 52801, 53382, 50976, 52342, 50824, 53029, 51059, 52292, 51059, 50430, 54081, 50976, 50436, 54073, 50803, 53029, 50824, 52292, 50824, 54081, 50824, 50440, 52205, 60254, 52205, 52911, 52342, 52116, 66387, 54769, 50824, 53382, 57325, 52895, 57303, 52044, 58055, 69289, 51601, 69289, 53571, 50824, 52550, 50824, 52292, 50824, 50419, 52044, 58026, 52895, 51973, 52342, 53300, 66387, 53029, 50824, 52550, 50824, 53334, 53566, 52895, 58198, 52044, 57149, 51975, 60295, 74923, 53029, 50824, 52573, 66456, 52044, 57891, 51975, 53532, 52797, 52163, 51975, 50975, 52550, 51059, 51809, 52205, 72693, 52205, 50976, 53029, 51407, 50429, 52205, 50976, 50436, 52205, 50976, 52049, 51059, 50443, 52205, 76253, 53640, 50811, 52049, 50824, 53029, 51407, 50452, 54073, 59154, 53640, 52884, 54073, 58150, 53640, 56628, 54073, 50811, 51601, 53640, 50811, 52292, 50976, 50417, 54073, 60861, 53640, 57646, 54073, 50811, 53334, 50976, 50424, 52205, 52968, 54073, 51795, 50428, 58683, 50976, 53029, 50824, 52292, 60739, 60914, 57149, 54066, 60295, 52292, 51059, 53382, 51059, 53029, 51407, 50456, 53334, 50976, 54081, 51059, 50799, 52573, 50976, 50421, 53382, 50824, 53029, 51059, 53334, 51059, 52205, 51059, 50435, 56280, 50824, 53334, 75085, 54066, 59116, 60914, 57891, 58683, 50811, 56280, 50824, 53334, 67067, 60914, 55552, 58683, 52884, 60914, 58150, 58683, 59616, 60914, 50811, 50799, 58683, 50811, 56280, 50824, 53334, 58297, 60914, 60861, 58683, 59852, 60914, 54381, 54066, 52968, 53382, 61347, 53382, 50803, 53029, 50824, 50431, 54081, 52674, 52662, 52057, 52205, 60295, 77155, 52205, 50824, 66262, 77189, 52292, 59550 ]
[ 0, 250, 182, 1769, 12, 20764, 8, 8787, 15855, 2125, 6, 42, 15229, 16, 17407, 30, 63, 5386, 8, 9066, 2574, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 9590, 3863, 6, 8, 1515, 21305, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 14, 25935, 1626, 227, 3423, 9, 26545, 8, 15073, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 211, 6, 83, 6, 2060, 119, 406, 428, 245, 73, 43608, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50640, 50439, 50631, 51474, 50427, 53101, 59786, 51950, 63747, 52515, 50802, 65431, 51600, 60720, 52515, 50802, 50463, 52515, 50802, 65431, 72888, 50475, 54063, 50802, 65431, 72888, 50481, 52515, 50802, 63578, 52933, 50802, 65431, 51600, 60751, 52515, 61536, 54063, 50802, 65431, 51600, 60121, 52515, 63747, 51950, 51352, 51113, 51161, 51488, 51161, 51266, 51161, 50475, 53101, 50824, 68831, 51600, 50807, 51474, 50427, 53993, 59786, 55360, 63747, 54063, 62748, 50795, 51107, 60720, 54063, 62748, 50795, 65431, 50463, 54063, 50802, 50469, 52515, 50802, 50475, 51950, 50824, 71006, 65431, 63578, 51950, 50802, 71006, 51107, 60751, 53101, 61536, 52285, 59786, 51900, 63747, 52549, 50824, 51113, 63551, 51900, 50824, 51113, 50795, 74681, 50463, 52173, 50824, 51113, 50795, 67914, 50475, 52285, 50824, 67769, 72165, 51474, 50427, 53101, 71569, 60121, 51950, 50802, 51266, 61187, 52515, 50802, 65431, 51600, 60720, 52515, 50802, 50463, 52515, 50802, 65431, 72888, 50475, 54063, 50802, 65431, 72888, 50481, 52515, 50802, 63578, 52933, 50802, 65431, 51600, 60751, 52515, 61536, 54063, 50802, 65431, 51600, 60121, 52515, 63747, 55360, 51352, 51113, 50918, 51266, 51161, 51182, 51161, 50463, 70809, 50475, 53993, 50824, 71006, 68831, 51600, 50807, 51474, 50427, 53993, 59786, 55360, 63747, 54063, 50803, 75840, 74681, 66287, 50445, 52515, 57365, 51950, 57303, 53101, 50803, 50463, 52285, 50803, 50469, 51900, 50803, 50475, 52549, 50803, 51883, 50807, 51301, 50807, 75840, 50481, 51900, 50803, 63578, 52285, 59236, 53101, 56998, 51950, 57476, 52549, 57149, 51900, 51009, 51251, 65728, 50918, 50451, 51251, 50795, 50463, 53101, 50824, 51251, 61503, 50807, 50475, 51900, 51009, 51251, 50807, 77315, 51474, 50427, 65431, 51600, 60121, 66466, 51182, 61187, 65431, 72888, 51284, 60720, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50463, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50475, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 63578, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 51600, 50807, 51284, 61156, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 51284, 61187, 52433, 51422, 52367, 51422, 53060, 51422, 64435, 51422, 55308, 51422, 53064, 51422, 53215, 51161, 51883, 51161, 51266, 51161, 51182, 51161, 51905, 51161, 50475, 51886, 50915, 53598, 50915, 55455, 50915, 60198, 50915, 52665, 50915, 53780, 50915, 54333, 50807, 52065, 50807, 68831, 51600, 50807, 51384, 50807, 51474, 50427, 51558, 50795, 51384, 60121, 74531, 51905, 61187, 70446, 51558, 60720, 52776, 50795, 51699, 67583, 50795, 50463, 70446, 51558, 50795, 50469, 72888, 74531, 50475, 66466, 70446, 63578, 52776, 50795, 51699, 67583, 61156, 66466, 51182, 60121, 65431, 51600, 61187, 53215, 50795, 51883, 72233, 65431, 51266, 60720, 53215, 50795, 51883, 72233, 64534, 51266, 61393, 68831, 72888, 50463, 53215, 50795, 51883, 72233, 71006, 50469, 65431, 72888, 50475, 53215, 50807, 51883, 50807, 67769, 72165, 66287, 51474, 50427, 65431, 51600, 60121, 66466, 51182, 61187, 72888, 51284, 60720, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50463, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50475, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 63578, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 51284, 61156, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 51284, 61187, 52433, 51422, 52367, 51422, 53060, 51422, 64435, 51422, 55308, 51422, 53064, 51422, 53215, 50918, 51883, 79383, 50918, 51266, 51161, 51905, 51161, 51926, 51161, 50463, 52602, 50807, 51638, 50807, 70809, 50475, 51886, 50915, 53598, 50915, 55455, 50915, 60198, 50915, 52665, 50915, 53780, 50915, 54333, 50795, 52065, 50795, 71006, 68831, 51384, 50807, 52405, 50807, 51474, 50427, 72888, 51384, 60121, 74531, 51905, 61187, 70446, 51558, 60720, 52776, 50795, 51699, 67583, 50795, 50463, 71006, 70446, 50469, 65431, 72888, 50475, 64534, 66466, 63578, 53215, 50795, 51883, 61503, 61156, 51301, 50795, 51284, 60121, 51088, 50795, 51488, 61187, 55528, 50795, 52371, 64096, 65728, 50918, 76990, 50451, 55528, 50795, 52371, 64096, 50795, 50463, 55528, 50795, 52371, 64096, 61503, 50807, 51600, 50807, 50475, 55528, 50807, 52371, 50807, 51251, 50807, 51491, 50918, 76990, 51474, 50427, 52355, 59786, 52824, 63747, 52549, 50802, 53215, 52045, 51883, 52045, 50445, 51900, 59712, 52285, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50457, 53101, 50802, 50463, 51950, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50469, 52515, 50802, 50475, 51950, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50481, 53101, 50802, 63578, 52285, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50421, 51900, 61536, 52549, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50433, 52285, 63747, 51900, 50802, 52371, 50918, 51251, 52045, 50445, 52285, 59712, 53101, 50802, 77315, 67769, 50457, 51950, 50802, 50463, 52515, 50802, 77315, 67769, 50469, 54063, 50802, 50475, 52515, 50824, 77315, 67769, 63578, 77315, 51113, 61857, 52285, 50802, 77315, 67769, 50433, 53101, 63747, 52933, 50802, 52830, 52045, 51301, 52045, 50445, 52515, 59712, 54063, 50802, 66316, 74681, 68831, 66287, 50457, 55360, 50802, 50463, 53993, 50802, 66316, 74681, 68831, 66287, 50469, 57489, 50802, 50475, 53993, 50802, 66316, 74681, 68831, 66287, 50481, 55360, 50802, 63578, 54063, 50802, 66316, 74681, 68831, 66287, 50421, 52515, 61536, 52933, 50802, 66316, 74681, 68831, 66287, 50433, 54063, 63747, 52515, 50802, 53215, 50918, 51883, 79383, 50918, 51488, 50918, 51266, 50918, 50445, 55360, 59712, 57489, 58691, 55360, 50802, 50463, 52515, 50802, 50469, 52285, 50802, 50475, 52549, 50802, 50481, 52285, 50802, 63578, 51900, 66350, 52549, 61536, 51900, 50802, 55780, 50795, 52830, 64096, 67755, 50795, 51375, 60121, 52824, 63747, 52355, 50802, 53215, 50918, 51883, 50918, 51794, 50918, 51301, 79383, 50918, 50445, 52549, 59712, 52285, 58691, 52549, 50802, 50463, 52355, 50802, 50469, 54246, 50802, 50475, 57382, 50802, 50481, 54246, 50802, 63578, 54108, 66350, 57382, 61536, 54108, 50802, 55780, 50795, 52830, 64096, 67755, 50795, 51375, 60121, 58699, 63747, 58916, 50802, 53215, 50918, 51883, 50918, 51794, 50918, 51301, 79383, 50918, 50445, 57382, 59712, 54108, 57303, 54246, 50803, 50463, 54219, 50803, 50469, 52926, 50803, 50475, 52355, 50802, 50481, 52549, 50802, 63578, 51900, 59236, 52285, 56998, 53101, 57476, 52933, 57149, 52515, 52442, 50451, 75840, 67769, 72165, 50463, 77315, 74681, 68831, 50475, 51301, 50807, 72165, 66287, 63578, 51251, 50807, 68831, 51600, 61857, 52515, 50824, 51794, 50807, 66287 ]
[ 0, 713, 5175, 19834, 2125, 6, 278, 11, 83, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 1931, 21683, 10, 25306, 8, 32076, 5466, 4, 660, 21979, 8669, 3315, 5, 33301, 6, 2800, 30, 21072, 6, 20535, 6, 2342, 4467, 6, 8, 21979, 9590, 4, 20, 7212, 20889, 8, 19448, 6711, 146, 24, 1969, 13, 10, 619, 12, 8396, 822, 1310, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 272, 401, 6, 230, 406, 6, 1918, 6, 274, 10431, 119, 6, 8, 3676, 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 ]	[ 77669, 61384, 51454, 50426, 54182, 51454, 51057, 52758, 52369, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 51021, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 50866, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 54278, 52758, 57067, 52733, 51452, 51322, 51452, 51209, 51452, 51590, 51452, 52419, 51047, 55493, 50923, 53152, 51047, 51913, 61774, 51452, 50816, 51452, 51769, 51452, 72698, 54890, 60445, 60616, 51021, 51057, 61384, 51454, 50432, 61384, 53435, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 51021, 52851, 50866, 51963, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 50866, 52851, 50866, 51963, 50866, 51913, 55675, 56466, 50866, 51769, 53961, 52733, 51452, 51917, 51452, 51209, 51452, 51590, 51452, 52419, 51452, 52851, 51047, 51963, 51047, 51913, 61774, 51452, 50816, 51452, 51769, 51452, 51057, 54890, 77224, 55493, 51227, 51057, 52969, 51941, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 50866, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 50866, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 54278, 52969, 57647, 52733, 51452, 51322, 51452, 51209, 51452, 51590, 51452, 52419, 51452, 53195, 50948, 53152, 51452, 51913, 51452, 50801, 51452, 50816, 51452, 51769, 51452, 72698, 55493, 58292, 54890, 50948, 51057, 61384, 51941, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 50866, 52851, 50866, 51963, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 50845, 52851, 50866, 51963, 50866, 51913, 55675, 54420, 56466, 50866, 51769, 53961, 51830, 51714, 51917, 51714, 51256, 51714, 51229, 51714, 51560, 51714, 51906, 51036, 51683, 51036, 50816, 75383, 61731, 51047, 50433, 51963, 51036, 52103, 51036, 50816, 75383, 56565, 50816, 75383, 53908, 50816, 75383, 50820, 57008, 75383, 50820, 51057, 50816, 51717, 51769, 51717, 51038, 50432, 54598, 50923, 51057, 52387, 51021, 57761, 51452, 51076, 51452, 51786, 51452, 51788, 51452, 52213, 51552, 51057, 52213, 58808, 54598, 57078, 52387, 57067, 51207, 51047, 51311, 51047, 50970, 51047, 50947, 51047, 52213, 51573, 51038, 50422, 52213, 51552, 51057, 52861, 64342, 52387, 51354, 50428, 51725, 51422, 51131, 51422, 50998, 51422, 50929, 51422, 52213, 51054, 51038, 50424, 52213, 50923, 50430, 51756, 67865, 52280, 50923, 61245, 51504, 51714, 51131, 51714, 51136, 51714, 50929, 51714, 52213, 76812, 52213, 51054, 72698, 54598, 57078, 53037, 57067, 53092, 51115, 51131, 51115, 51136, 51115, 51169, 51115, 52213, 51054, 51038, 50429, 52213, 57067, 53092, 51115, 51131, 51115, 51136, 51115, 50929, 51115, 51057, 54598, 51354, 50422, 53037, 57067, 53092, 51452, 51131, 51452, 50960, 51452, 51078, 51452, 50947, 51452, 50434, 52213, 51054, 51038, 51057, 51574, 51151, 50960, 51151, 51078, 51151, 50947, 51151, 51493, 51714, 54961, 51151, 52719, 51151, 53152, 51151, 51913, 51151, 54809, 51714, 54027, 51714, 52155, 51714, 52721, 52208, 50816, 53889, 75383, 63749, 50816, 75383, 55138, 50816, 75383, 59346, 50816, 75383, 52761, 50816, 53889, 75383, 56818, 50816, 75383, 53744, 50816, 75383, 57074, 50816, 75383, 50820, 51694, 53889, 75383, 59551, 50816, 75383, 53943, 50816, 75383, 56657, 50816, 75383, 52417, 50816, 53889, 75383, 56565, 50816, 75383, 53908, 50816, 75383, 50820, 51057, 51335, 51115, 51038, 51057, 52733, 51932, 51366, 51932, 51493, 56466, 50866, 51553, 55085, 72409, 56466, 64758, 54278, 51664, 51932, 51229, 51932, 65573, 57765, 51025, 51289, 51025, 51057, 51322, 51352, 51390, 51352, 51574, 50866, 61414, 63124, 51076, 50866, 51493, 51109, 56844, 50866, 54961, 50866, 52851, 50866, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 54961, 50866, 52851, 50866, 53152, 70986, 57733, 54278, 51574, 50866, 61414, 63124, 51076, 50866, 56844, 50866, 54961, 50866, 52851, 50866, 59091, 70986, 50866, 51270, 57733, 53961, 51493, 50866, 55912, 50866, 56844, 50866, 52719, 53840, 70986, 57733, 50866, 51057, 51574, 50866, 61414, 63124, 51076, 50866, 52659, 51109, 56844, 51047, 54961, 51047, 52851, 51047, 59091, 53840, 70986, 57733, 55085, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 57733, 53961, 51574, 50866, 61414, 63124, 51076, 50866, 51273, 50866, 59091, 53840, 70986, 50866, 51270, 57733, 50866, 51057, 51493, 51109, 64010, 51422, 55282, 51422, 56844, 51422, 52719, 71382, 70986, 57733, 55085, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 70986, 70986, 57733, 53961, 51322, 50802, 51390, 50802, 51574, 50866, 61414, 63124, 51076, 50866, 51493, 50866, 59091, 53840, 70986, 57733, 50866, 51057, 51912, 50802, 51590, 50802, 51574, 50866, 61414, 63124, 51076, 50866, 52659, 51109, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 70986, 57733, 74027, 51830, 50802, 51209, 52038, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 50866, 50430, 52468, 50802, 51322, 52030, 51273, 53840, 70986, 57733, 50866, 51057, 52733, 51009, 51366, 51009, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 52419, 51109, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51065, 57733, 54278, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 53961, 52419, 53840, 70986, 57733, 50866, 51057, 52733, 51009, 51366, 51009, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51493, 51109, 59091, 53840, 70986, 57733, 55085, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 57733, 53961, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51493, 50866, 59091, 53840, 70986, 50866, 51270, 57733, 50866, 75041, 51109, 55282, 51115, 56844, 51115, 52719, 51115, 53152, 59401, 70986, 57733, 55085, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 70986, 70986, 57733, 53961, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51216, 50866, 59091, 53840, 70986, 57733, 50866, 51057, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51493, 51109, 55282, 51109, 56844, 51109, 52719, 51109, 52851, 51109, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51830, 50975, 51209, 50975, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 70986, 57733, 54278, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 52659, 51025, 55282, 50813, 56844, 50813, 52719, 50813, 59091, 70986, 50866, 51270, 57733, 50866, 50428, 51912, 51066, 51590, 51066, 50430, 55282, 50813, 56844, 50813, 52719, 52810, 55282, 50813, 56844, 50813, 52719, 52784, 70986, 57733, 50866, 51057, 51209, 51352, 52004, 51352, 51574, 50866, 61414, 63124, 51076, 50866, 51493, 51109, 55282, 51151, 56844, 51151, 52719, 51151, 53152, 51151, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51065, 57733, 54278, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 53961, 51493, 53840, 70986, 57733, 50866, 51057, 51574, 50866, 61414, 63124, 51076, 50866, 52659, 51109, 59091, 53840, 70986, 57733, 55085 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3495, 6, 7630, 6568, 10, 1472, 9, 26545, 8, 11098, 4, 20, 12547, 9, 21072, 6, 13305, 6, 32017, 6, 31391, 1672, 9590, 6, 8, 4401, 757, 3178, 6670, 10, 2216, 34753, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 6780, 10, 7212, 20889, 9, 8403, 13410, 228, 2289, 6, 5, 2125, 30853, 19, 10, 204, 73, 306, 86, 6543, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 381, 6, 274, 10431, 119, 6, 8, 211, 35315, 6, 6946, 10, 1472, 9, 30234, 8, 31657, 7, 5, 1374, 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 ]	[ 57530, 79970, 62827, 55139, 53246, 50891, 55676, 71881, 53730, 51129, 50424, 54003, 59605, 52966, 62936, 51467, 62827, 55263, 53332, 50891, 55994, 51004, 51361, 53730, 51129, 63842, 57871, 50825, 79321, 61988, 55222, 53730, 50870, 55820, 50361, 51087, 78223, 53730, 75578, 54003, 58806, 53003, 62936, 51467, 50364, 51459, 55987, 53246, 50891, 56403, 50982, 51453, 73598, 55948, 51129, 64402, 58806, 51306, 79970, 62827, 55987, 53246, 50891, 55676, 51693, 51039, 53977, 51129, 50424, 54003, 71189, 52917, 62936, 51467, 61988, 55263, 53332, 50908, 55994, 51258, 51361, 53740, 51129, 63842, 57871, 50825, 79321, 62827, 55615, 53977, 50891, 55820, 58340, 78223, 53977, 75578, 54003, 62758, 52763, 62936, 51467, 61988, 56128, 54561, 50891, 56403, 51129, 51453, 56689, 57675, 51129, 64402, 59605, 51306, 79970, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 54003, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 50891, 55994, 50366, 52438, 50908, 51361, 53332, 51129, 63842, 69104, 66624, 50891, 79321, 62827, 55222, 53977, 50891, 55820, 58340, 78223, 78521, 54949, 75578, 54003, 73598, 53003, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 51004, 51453, 55522, 50364, 52438, 53977, 51129, 64402, 59605, 50362, 52438, 50908, 79970, 61988, 55263, 53246, 50908, 55676, 79511, 78521, 53740, 51129, 50424, 54003, 58806, 52917, 62936, 51467, 64218, 55263, 53332, 50870, 55994, 50363, 52438, 50870, 51361, 53977, 51129, 63842, 50362, 51117, 50375, 52438, 50891, 79321, 64218, 55222, 78400, 55820, 66621, 75164, 50369, 52438, 53977, 75578, 54003, 58806, 52743, 62936, 51467, 64218, 55263, 53740, 50891, 56403, 51004, 51453, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50901, 53955, 50901, 73910, 50663, 50277, 50921, 52453, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 53703, 51437, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 62618, 53367, 50851, 53955, 50851, 51181, 50921, 50663, 50277, 51594, 50366, 52438, 50908, 51361, 53332, 51129, 50436, 53367, 50886, 53955, 50886, 51181, 50821, 50663, 50277, 51041, 69104, 66624, 53115, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 54441, 51130, 62827, 55222, 53977, 50870, 55820, 58340, 53325, 57246, 50851, 53331, 50851, 51957, 50936, 50663, 50276, 50890, 51895, 52438, 54949, 75578, 54003, 73598, 53003, 53955, 53651, 52197, 53651, 51640, 52208, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 54616, 65444, 51589, 55522, 50364, 52438, 53977, 51129, 50457, 50850, 51173, 50459, 57510, 50822, 64402, 59605, 50362, 52438, 50908, 50799, 80217, 54436, 51130, 61988, 55263, 53246, 64565, 50944, 51173, 50417, 64009, 50822, 55676, 54303, 51017, 52392, 80217, 51589, 78521, 53740, 64024, 50850, 50948, 65444, 65553, 54003, 58806, 52917, 57510, 54436, 52572, 51467, 64218, 55263, 53332, 58832, 50944, 50948, 57510, 50822, 55994, 50363, 52438, 53575, 51506, 51362, 50850, 50830, 64009, 51589, 53977, 66007, 80217, 50822, 63842, 50362, 51117, 50375, 52438, 53115, 50850, 50893, 65444, 54436, 51130, 64218, 55222, 53730, 57502, 57510, 50822, 55820, 66621, 53114, 50944, 50879, 80217, 51589, 50369, 52438, 53977, 63640, 51506, 51351, 64009, 69300, 54003, 58806, 52743, 80217, 54436, 52572, 51467, 64218, 55263, 53740, 58207, 50944, 50879, 57510, 50822, 56403, 54616, 50850, 51175, 80217, 51589, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50873, 53955, 50873, 51181, 51388, 50663, 50277, 55024, 51130, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50867, 53955, 50867, 51181, 50921, 50663, 50277, 54452, 51437, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 62618, 53367, 50886, 53955, 50886, 51181, 50921, 50663, 50277, 51864, 50366, 52438, 50908, 51361, 53332, 51129, 50436, 53367, 50886, 53955, 50886, 51181, 50887, 50663, 50277, 51139, 69104, 66624, 53115, 53367, 50844, 53955, 50844, 51181, 51014, 50663, 50277, 54441, 51130, 62827, 55222, 53977, 50891, 55820, 58340, 53325, 57246, 50874, 53331, 50874, 51957, 50860, 50663, 50276, 50858, 51895, 52438, 54949, 75578, 54003, 73598, 53003, 53955, 53651, 52197, 53651, 51640, 53898, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 54616, 50850, 51175, 65444, 51589, 55522, 50364, 52438, 53977, 69054, 57510, 50822, 64402, 59605, 50362, 52438, 50908, 71755, 51158, 80217, 54436, 51130, 61988, 55263, 53246, 65926, 64009, 50822, 55676, 54303, 51506, 51013, 80217, 51589, 78521, 53740, 51129, 50421, 51017, 51048, 50423, 50850, 51173, 65444, 65553, 54003, 58806, 52917, 57510, 54436, 52572, 51467, 64218, 55263, 53332, 57265, 63138, 57510, 50822, 55994, 50363, 52438, 53575, 51506, 51362, 51017, 51016, 64009, 51589, 53977, 66007, 80217, 50822, 63842, 50362, 51117, 50375, 52438, 53115, 50850, 51173, 65444, 54436, 51130, 64218, 55222, 53730, 57502, 57510, 50822, 55820, 66621, 53114, 50944, 51235, 80217, 51589, 50369, 52438, 53977, 63640, 51506, 51391, 51017, 51175, 64009, 69300, 54003, 58806, 52743, 80217, 54436, 52572, 51467, 64218, 55263, 53740, 58207, 57510, 65732, 50850, 76714, 54616, 80217, 51589, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50901, 53955, 50901, 73910, 50663, 50277, 50921, 52453, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 53703, 51437, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 62618, 53367, 50851, 53955, 50851, 51181, 50921, 50663, 50277, 51594, 50366, 52438, 50908, 51361, 53332, 51129, 50436, 53367, 50886, 53955, 50886, 51181, 50821, 50663, 50277, 51041, 69104, 66624, 53115, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 54441, 51130, 62827, 55222, 53977, 50870, 55820, 58340, 53325, 57246, 50851, 53331, 50851, 51957, 50936, 50663, 50276, 50890, 51895, 52438, 54949, 75578, 54003, 73598, 53003, 53955, 53651, 52197, 53651, 51640, 52208, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 54616, 65444, 51589, 55522, 50364, 52438, 53977, 51129, 50457, 50850, 51173, 50459, 57510, 50822, 64402, 59605, 50362, 52438, 50908, 50799, 80217, 54436, 51130, 61988, 55263, 53246, 64565, 50944, 51173, 50417, 64009, 50822, 55676, 54303, 51017, 52392, 80217, 51589, 78521, 53740, 64024, 50850, 50948, 65444, 65553, 54003, 58806, 52917, 57510, 54436, 52572, 51467, 64218, 55263, 53332, 58832, 50944, 50948, 57510, 50822, 55994, 50363, 52438, 53575, 51506, 51362, 50850, 50830, 64009, 51589, 53977, 66007, 80217, 50822, 63842, 50362, 51117, 50375, 52438, 53115, 50850, 50893, 65444, 54436, 51130, 64218, 55222, 53730, 57502, 57510, 50822, 55820, 66621, 53114, 50944, 50879, 80217, 51589, 50369, 52438, 53977, 63640, 51506, 51351, 64009, 69300, 54003, 58806, 52743, 80217, 54436, 52572, 51467, 64218, 55263, 53740, 58207, 50944, 50879, 57510, 50822, 56403, 54616, 50850, 51175, 80217, 51589, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50873, 53955, 50873, 51181, 51388, 50663, 50277, 55024, 51130, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50867, 53955 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 4246, 10, 13305, 8, 21072, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 11571, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 5679, 26709, 8, 980, 219, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50799, 53926, 50810, 68641, 51151, 55677, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53829, 53926, 50810, 51929, 50845, 64612, 53926, 50810, 52603, 54371, 57560, 52265, 53926, 50810, 51929, 52839, 53418, 53926, 50810, 51929, 50845, 53752, 53675, 53926, 50810, 52603, 52839, 53711, 53926, 50810, 51929, 54371, 53685, 53926, 50810, 51929, 50845, 52261, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53336, 52053, 50810, 51929, 52839, 55229, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 52553, 53675, 52053, 50810, 52603, 52839, 53711, 52053, 50810, 51929, 54371, 53563, 52053, 50810, 51929, 52839, 50883, 65310, 50810, 56922, 51151, 54632, 51151, 51929, 50845, 51169, 51151, 51316, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 57042, 51161, 55751, 51161, 52553, 53829, 52022, 50810, 51929, 52839, 53150, 52022, 50810, 52603, 54371, 52975, 52022, 50810, 51929, 52839, 54968, 52022, 50810, 51929, 50845, 52553, 54586, 52022, 50810, 52603, 50845, 68698, 52022, 50810, 51929, 54371, 53173, 52022, 50810, 51929, 52839, 50883, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52553, 53576, 52053, 50810, 51929, 52839, 53087, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 53752, 54586, 52053, 50810, 52603, 50845, 68698, 52053, 50845, 51929, 54371, 53685, 52053, 50810, 51929, 52839, 50884, 50799, 53926, 50810, 68641, 51151, 55677, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53829, 53926, 50810, 51929, 50845, 64612, 53926, 50810, 52603, 50845, 53431, 57560, 52265, 53926, 50810, 51929, 52839, 53418, 53926, 50810, 51929, 50845, 53752, 53675, 53926, 50810, 52603, 52839, 53711, 53926, 50810, 51929, 54371, 53685, 53926, 50810, 51929, 50845, 52261, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53336, 52053, 50810, 51929, 52839, 55229, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 52553, 53675, 52053, 50810, 52603, 52839, 53711, 52053, 50810, 51929, 54371, 53563, 52053, 50810, 51929, 52839, 50883, 65310, 50810, 56922, 51151, 54632, 51151, 51929, 50845, 51169, 51151, 51316, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 57042, 51161, 55751, 51161, 52553, 53829, 52022, 50810, 51929, 52839, 53150, 52022, 50810, 52603, 54371, 52975, 52022, 50810, 51929, 52839, 54968, 52022, 50810, 51929, 50845, 52553, 54586, 52022, 50810, 52603, 50845, 68698, 52022, 50810, 51929, 54371, 53173, 52022, 50810, 51929, 52839, 50883, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 55521, 51161, 54142, 51161, 55783, 51161, 52553, 53576, 52053, 50810, 51929, 52839, 53087, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 53752, 54586, 52053, 50810, 52603, 50845, 68698, 52053, 50845, 51929, 54371, 53685, 52053, 50810, 51929, 50845, 53091, 51370, 50884, 62114, 50810, 53369, 51151, 51774, 51151, 51515, 51151, 51929, 51151, 50970, 51151, 51169, 51151, 51032, 51151, 51425, 51151, 51223, 51151, 53775, 52299, 51179, 53829, 51720, 51373, 52870, 51720, 50810, 53807, 51812, 53230, 51720, 50810, 56817, 52448, 53418, 51720, 53197, 51239, 53675, 51720, 50810, 54876, 52448, 53711, 51720, 53119, 53685, 51720, 50810, 55199, 51029, 52261, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51434, 51151, 50998, 51151, 50929, 51151, 51032, 51151, 51915, 51151, 51368, 51151, 51223, 51151, 52902, 53336, 51133, 51373, 55229, 51133, 50810, 54876, 51812, 52975, 51133, 50810, 56817, 52448, 53294, 51133, 53197, 51041, 53675, 51133, 50810, 54876, 52448, 53711, 51133, 53119, 53563, 51133, 50810, 53775, 51795, 50791, 50883, 54516, 50810, 57117, 51151, 52557, 51151, 52435, 51151, 51515, 51151, 50970, 51151, 51064, 51151, 51032, 51151, 51425, 51151, 51729, 51151, 52553, 53829, 51186, 51373, 53150, 51186, 53119, 52975, 51186, 51373, 54968, 51186, 53197, 51041, 54586, 51186, 51373, 53533, 51186, 53119, 53173, 51186, 50810, 53091, 51331, 50883, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51929, 51047, 50998, 51151, 51169, 51047, 51032, 51151, 51223, 51151, 56817, 51009, 52553, 53576, 51133, 51373, 53087, 51133, 53119, 52975, 51133, 51373, 53294, 51133, 50810, 51434, 51047, 50929, 51047, 53807, 51029, 53752, 54586, 51133, 51373, 53533, 51133, 53119, 53685, 51133, 50810, 53775, 51331, 50884, 62114, 50810, 53369, 51151, 51774, 51151, 51515, 51151, 51929, 51151, 50970, 51151, 51169, 51151, 51032, 51151, 51425, 51151, 51223, 51151, 52902, 53829, 51720, 51373, 52870, 51720, 50810, 53807, 51812, 53230, 51720, 50810, 56817, 52448, 53418, 51720, 53197, 51239, 53675, 51720, 50810, 54876, 52448, 53711, 51720, 53119, 53685, 51720, 50810, 55199, 51029, 52261, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51434, 51151, 50998, 51151, 50929, 51151, 51032, 51151, 51915, 51151, 51368, 51151, 51223, 51151, 52902, 53336, 51133, 51373, 55229, 51133, 50810, 54876, 51812, 52975, 51133, 50810, 56817, 52448, 53294, 51133, 53197, 51041, 53675, 51133, 50810, 54876, 52448, 53711, 51133, 53119, 53563, 51133, 50810, 53775, 55115, 56046, 51133, 50810, 54516, 50810, 57117, 51151, 52557, 51151, 52435, 51151, 51515, 51151, 50970, 51151, 51064, 51151, 51032, 51151, 51425, 51151, 51729, 51151, 52553, 53829, 51186, 51373, 53150, 51186, 50810, 53091, 51812, 52975, 51186, 50810, 53775, 52448, 54968, 51186, 53197, 51041, 54586, 51186, 50810, 53807, 50824, 68698, 51186, 53119, 53173, 51186, 50810, 56817, 52448, 50883, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51929, 51047, 50998, 51151, 51169, 51047, 51032, 51151, 51223, 51151, 52553, 53576, 51133, 50810, 56817, 52448, 53087, 51133, 53119, 52975, 51133, 50810, 53807, 52448, 53294, 51133, 50810, 51434, 51047, 50929, 51047, 53752, 54586, 51133, 50810, 53807, 50824, 68698, 51133, 53119, 53685, 51133, 50810, 53775, 55848, 50883, 54516, 50810, 57117, 51151, 53369, 51151, 51317, 51151, 52447, 51151, 51425, 51151, 51320, 57560, 52302, 51186, 50810, 50970, 51714, 53807, 50824, 64612, 51186, 50810, 51064, 51422, 50804, 53230, 51186, 50810, 51032, 51452, 56817, 52448, 53418, 51186, 50810, 51515, 51047, 53752, 53675, 51186, 50810, 54876, 52448, 53711, 51186, 53119, 53685, 51186, 50810, 55199, 51029, 52261, 54272, 50810, 54437, 51151, 52769, 51151, 51774, 51151, 51660, 51047, 51915, 50845, 51368, 50845, 52902, 53336, 51133, 50810, 51915, 50845, 51368, 52839, 55229, 51133, 50810, 51915, 50845, 51368, 50845, 58358, 51812, 52975, 51133, 50810, 51915, 50845, 51368, 50845, 55199, 57838, 53294, 51133, 50810, 51434, 51047 ]
[ 0, 250, 15352, 30054, 14123, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 326, 5638, 18026, 6, 32909, 6, 31391, 1672, 9590, 6, 8, 21979, 8669, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 5, 2125, 29769, 198, 5, 33215, 16739, 83, 406, 6, 211, 119, 6, 211, 73, 250, 6, 272, 119, 6, 8, 381, 406, 6, 2351, 10, 1372, 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 ]	[ 56103, 50799, 51236, 59757, 51236, 52909, 53070, 50913, 50829, 67173, 57206, 54080, 51471, 67209, 57206, 53450, 51236, 55657, 50828, 57206, 50882, 53666, 53622, 50837, 57206, 52686, 50913, 50829, 67173, 57206, 55098, 56270, 51236, 60464, 51236, 52909, 53027, 50913, 50829, 67173, 57206, 54672, 51471, 67209, 57206, 53140, 51236, 55657, 50828, 57206, 55982, 62506, 57206, 54353, 50913, 50829, 67173, 57206, 57651, 51471, 50799, 51236, 59757, 51236, 52909, 53070, 50913, 50829, 67173, 57206, 54080, 51471, 67209, 57206, 53450, 51236, 55657, 50828, 57206, 50821, 53666, 53622, 50837, 57206, 52686, 50913, 50829, 67173, 57206, 54125, 56270, 51137, 51014, 51207, 50879, 71927, 51938, 51117, 60464, 51236, 52909, 53027, 51137, 50962, 51131, 50942, 77457, 52006, 50875, 50829, 67173, 57206, 54672, 74385, 51246, 50865, 51064, 50936, 52453, 50829, 67209, 57206, 53140, 51236, 55657, 50828, 57206, 59574, 51181, 51012, 50970, 51100, 51438, 51060, 62506, 57206, 52935, 52006, 50875, 50829, 67173, 57206, 57651, 51136, 51661, 51549, 52195, 51471, 54309, 51354, 52453, 56166, 58081, 50837, 52138, 50937, 68980, 51298, 67761, 51137, 51460, 65711, 54561, 50837, 50909, 59415, 61529, 50838, 50424, 50909, 55191, 51327, 50995, 52932, 62771, 53479, 53347, 50837, 51439, 51346, 50429, 58081, 50837, 51298, 52749, 51338, 51030, 53552, 52909, 68972, 58719, 65537, 59628, 50909, 50829, 51556, 50837, 51298, 53574, 51132, 51354, 51825, 51330, 52287, 51330, 51504, 50879, 50970, 50911, 52453, 60518, 51221, 50441, 58081, 53027, 51207, 50942, 71257, 67534, 51416, 51460, 51131, 50865, 50947, 50936, 65711, 54561, 68972, 62510, 62431, 51178, 51298, 51221, 51649, 51221, 50448, 50909, 50972, 51955, 53479, 53347, 55351, 51136, 51100, 51549, 51060, 58081, 53007, 51132, 51021, 53552, 52909, 68972, 58213, 65537, 50841, 51298, 50828, 51649, 60734, 50909, 54794, 50960, 51661, 51067, 52195, 51842, 55556, 51354, 52453, 56166, 58081, 50837, 52403, 50937, 68980, 51007, 67761, 51132, 51460, 65711, 54561, 63607, 77354, 67682, 50838, 50424, 50850, 55191, 52287, 51097, 51414, 51097, 50903, 53479, 53347, 50837, 52403, 51346, 50429, 58081, 50837, 51007, 52749, 51727, 51030, 53552, 52909, 50837, 51037, 66327, 59203, 59628, 50850, 50829, 51556, 50837, 51007, 50836, 55545, 51354, 51981, 51330, 51980, 51330, 52562, 50879, 51136, 50911, 52453, 65641, 51221, 50441, 58081, 53027, 51504, 50942, 71431, 67534, 51526, 51460, 51207, 50865, 50929, 50936, 65711, 54561, 50837, 51037, 65821, 58507, 51178, 50939, 51221, 51298, 51221, 50448, 50847, 50972, 51955, 53479, 53347, 55351, 50960, 51100, 51067, 51060, 58081, 53007, 51533, 51021, 53552, 52909, 50837, 51037, 50835, 50979, 59947, 50841, 59902, 51298, 60734, 50847, 54794, 50986, 51661, 51032, 52195, 51842, 54309, 51354, 52453, 56166, 58081, 50837, 52138, 50937, 68980, 51298, 67761, 51137, 51460, 65711, 54561, 50837, 50909, 58392, 65821, 50838, 50424, 50847, 55191, 51981, 50995, 51327, 62771, 53479, 53347, 50837, 52138, 73058, 58081, 50837, 51298, 52749, 51338, 51030, 53552, 52909, 65622, 50835, 50979, 65537, 66244, 50800, 52138, 57659, 50847, 50829, 51556, 50837, 51298, 53574, 51181, 51354, 52948, 51330, 51457, 51330, 51444, 50879, 67392, 52453, 55262, 58081, 50837, 54039, 59352, 52028, 50942, 51078, 50897, 51471, 51840, 68788, 51349, 51460, 51131, 50865, 50947, 50936, 65711, 54561, 50837, 51007, 63815, 79787, 50838, 50448, 50944, 50972, 51955, 53479, 53347, 50837, 54039, 77658, 50986, 51100, 51032, 51060, 58081, 50837, 51840, 52955, 51181, 51021, 53552, 52909, 50837, 50946, 66175, 59203, 57561, 50800, 51840, 50800, 54039, 59747, 50944, 54794, 51246, 51175, 51064, 51379, 51842, 50939, 50836, 63479, 67398, 51354, 52453, 56166, 66559, 78142, 58081, 50837, 54039, 54878, 73248, 51032, 50833, 51471, 52138, 67761, 51181, 51460, 66559, 51067, 59488, 51916, 54561, 50837, 54039, 77354, 67682, 50838, 50424, 50847, 55191, 51414, 51330, 51457, 51330, 51246, 50844, 51064, 60629, 53479, 53347, 50837, 52403, 53847, 62212, 68322, 58081, 50837, 54039, 52749, 54311, 51030, 51131, 50810, 50947, 53530, 51239, 52909, 50837, 51037, 66327, 50834, 51007, 66601, 57659, 50847, 54288, 66559, 51067, 51420, 50837, 54039, 50836, 75849, 51354, 51207, 50879, 71927, 52453, 50829, 51439, 54789, 58081, 53027, 51131, 50942, 77457, 67534, 51181, 51460, 51246, 50865, 51064, 50936, 65711, 54561, 50837, 51037, 67682, 51766, 50323, 50795, 50448, 50847, 50972, 51955, 53479, 53347, 55351, 50970, 51100, 51438, 51060, 58081, 53007, 51137, 51021, 53552, 52909, 50837, 51037, 66327, 62956, 57561, 66244, 59747, 50847, 54794, 51136, 51175, 51549, 51379, 51842, 54309, 51354, 52453, 56166, 75341, 51032, 50812, 58081, 50837, 52138, 59771, 51246, 50844, 63705, 51471, 51298, 67761, 51137, 51460, 75341, 51032, 59488, 51916, 54561, 50837, 50909, 59415, 61529, 50838, 50424, 50909, 55191, 51327, 50995, 52932, 50995, 78986, 58993, 50903, 53479, 53347, 50837, 51439, 51346, 50429, 58081, 50837, 51298, 52749, 51338, 51030, 51207, 50810, 50929, 53530, 51239, 52909, 68972, 58719, 65537, 59628, 50909, 54288, 51131, 50854, 50947, 51420, 50837, 77226, 51272, 50273, 51354, 51825, 51330, 52287, 51330, 51504, 50879, 50970, 50911, 52453, 60518, 51221, 50441, 58081, 53027, 51207, 50942, 71257, 67534, 51416, 51460, 51131, 50865, 50947, 50936, 65711, 54561, 68972, 62510, 62431, 51178, 51298, 51221, 51649, 51221, 50448, 50909, 50972, 51955, 53479, 53347, 55351, 51136, 51100, 51549, 51060, 58081, 53007, 51132, 51021, 53552, 52909, 68972, 58213, 65537, 50841, 51298, 50828, 51649, 60734, 50909, 54794, 50960, 50948, 51067, 51030, 51842, 55556, 51354, 52453, 56166, 50986, 50839, 51032, 51187, 52291, 50837, 51007, 50841, 51257, 50841, 52403, 60941, 51246, 50839, 51064, 50828, 51257, 50841, 52403, 63094, 51007, 53223, 51131, 50844, 63079, 51471, 51007, 54069, 51132, 51460, 51246, 50854, 51064, 59488, 51916, 54561, 63607, 77354, 67682, 50838, 50424, 50850, 55191, 52287, 51097, 51414, 51097, 51207, 50892, 65738, 50903, 53479, 53347, 50837, 52403, 51346, 50429, 58081, 50837, 51007, 52749, 51727, 51030, 51504, 50810, 50970, 53530, 51239, 52909, 50837, 51037, 66327, 59203, 59628, 50850, 54288, 51207, 50854, 50929, 51420, 50837, 51007, 50836, 55545, 51354, 51981, 51330, 51980, 51330, 52562, 50879, 51136, 50911, 52453, 65641, 51221, 50441, 58081, 53027, 51504, 50942, 71431, 67534, 51526, 51460, 51207, 50865, 50929, 50936, 65711, 54561, 50837, 51037, 65821, 58507, 51178, 50939, 51221, 51298, 51221, 50448, 50847, 50972, 51955, 53479, 53347, 55351, 50960, 51100, 51067, 51060, 58081, 53007, 51533, 51021, 53552, 52909, 50837, 51037, 50835, 50979, 59947, 50841, 59902, 51298, 60734, 50847, 54794, 50986, 51175, 51032, 51379, 51842, 54309, 51354, 52453, 56166, 51131, 50854, 76522, 58081, 50837, 52138, 59771, 51207, 50844, 62388, 51471, 51298, 67761, 51349, 51460, 51131, 50854, 50947, 59488, 51916, 54561, 50837, 50909, 58392, 65821, 50838, 50424, 50847, 55191, 51981, 50995, 51327, 50995, 52028, 50844, 51078, 60629, 53479, 53347, 50837, 52138, 73058, 51207, 50854, 50929, 50812, 58081, 50837, 51298, 52749, 51338, 51030, 52562, 50810, 51136, 53530, 51239, 52909, 65622, 50835, 50979, 65537, 66244, 50800, 52138, 57659, 50847, 54288, 52028, 50854, 51078, 51420, 50837 ]
[ 0, 250, 2933, 8, 15352, 30054, 3152, 2214, 19, 5175, 4785, 6, 4246, 30587, 29589, 6, 21072, 6, 20535, 2810, 6, 8, 2382, 3459, 8669, 4, 20, 2125, 16, 278, 11, 163, 428, 3694, 19, 10, 7212, 20889, 9, 5962, 741, 1685, 8, 41, 18186, 112, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 6, 274, 6, 12608, 119, 406, 6, 8, 274, 3639, 7, 5, 2214, 18, 9066, 8, 20425, 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 ]	[ 52552, 50631, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50279, 52325, 76049, 50802, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50279, 52325, 76049, 50802, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50279, 52325, 76049, 50802, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50278, 63004, 51090, 50799, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 56717, 57479, 52628, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52329, 50678, 50276, 50802, 52305, 50911, 51521, 50911, 51511, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51611, 50911, 51222, 50911, 51348, 55195, 52716, 52444, 50678, 50278, 50824, 51778, 51090, 51473, 51090, 51329, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51778, 50911, 51473, 50911, 51329, 55195, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 77800, 57752, 56717, 57479, 52628, 50678, 50276, 50824, 52305, 51090, 51521, 51090, 51511, 57825, 77800, 51302, 52716, 56717, 57479, 52359, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52444, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 67812, 52259, 52467, 52493, 56717, 57479, 52485, 74502, 50799, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 56717, 57479, 52628, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52329, 50678, 50276, 50802, 52305, 50911, 51521, 50911, 51511, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51611, 50911, 51222, 50911, 51348, 55195, 52716, 52444, 50678, 50278, 50824, 51778, 51090, 51473, 51090, 51329, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51778, 50911, 51473, 50911, 51329, 55195, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 77800, 57752, 56717, 57479, 52628, 50678, 50276, 50824, 52305, 51090, 51521, 51090, 51511, 57825, 77800, 51302, 52716, 56717, 57479, 52359, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52444, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 67812, 52259, 52467, 52493, 56717, 57479, 52485, 74502, 50799, 76049, 51599, 52716, 56717, 57479, 52628, 76049, 50802, 70194, 55865, 55195, 52716, 52329, 50678, 50276, 50802, 51511, 50806, 56636, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 74745, 54295, 55195, 52716, 52444, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 52716, 56717, 57479, 52510, 51329, 50896, 56844, 61588, 52555, 50678, 50279, 51599, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 77800, 50799, 51348, 50896, 54295, 61588, 56717, 57479, 52628, 50678, 50276, 52299, 52716, 52329, 74745, 54295, 54780, 52716, 56717, 57479, 52359, 76049, 50802, 51511, 50806, 56636, 55195, 52716, 52444, 50678, 50277, 50824, 51348, 50896, 54295, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 74745, 54295, 56795, 52259, 52467, 52493, 56717, 57479, 52485, 51511, 51685, 56636, 53601, 74502, 50799, 76049, 50802, 51511, 52570, 50798, 52716, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51075, 57825, 52467, 52716, 56717, 57479, 52485, 76049, 51599, 77800, 50799, 53682, 51585, 50852, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50278, 63004, 67812, 52259, 52467, 52493, 56717, 57479, 50809, 53061, 52485, 50804, 77800, 50799, 76049, 51599, 52716, 56717, 57479, 52628, 76049, 50802, 70194, 55865, 55195, 52716, 52329, 50678, 50276, 50802, 51511, 50806, 56636, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 74745, 54295, 55195, 52716, 52444, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 52716, 56717, 57479, 52510, 51329, 50896, 56844, 61588, 52555, 50678, 50279, 51599, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 77800, 50799, 51348, 50896, 54295, 61588, 56717, 57479, 52628, 50678, 50276, 52299, 52716, 52329, 74745, 54295, 54780, 52716, 56717, 57479, 52359, 76049, 50802, 51511, 50806, 56636, 55195, 52716, 52444, 50678, 50277, 50824, 51348, 50896, 54295, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 74745, 54295, 56795, 52259, 52467, 52493, 56717, 57479, 52485, 51511, 51685, 56636, 53601, 74502, 50799, 76049, 50802, 51511, 52570, 50798, 52716, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51075, 57825, 52467, 52716, 56717, 57479, 52485, 76049, 51599, 77800, 50799, 53682, 51585, 50852, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50278, 63004, 67812, 52259, 52467, 52493, 56717, 57479, 50809, 53061, 52485, 50804, 77800, 50799, 76049, 51599, 52716, 56717, 57479, 52628, 76049, 50802, 70194, 55865, 55195, 52716, 52329, 50678, 50276, 50802, 51511, 50806, 56636, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 74745, 54295, 55195, 52716, 52444, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 52716, 56717, 57479, 52510, 51329, 50896, 56844, 61588, 52555, 50678, 50279, 51599, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 77800, 50799, 51348, 50896, 54295, 61588, 56717, 57479, 52628, 50678, 50276, 52299, 52716, 52329, 74745, 54295, 54780, 52716, 56717, 57479, 52359, 76049, 50802, 51511, 50806, 56636, 55195, 52716, 52444, 50678, 50277, 50824, 51348, 50896, 54295, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 74745, 54295, 56795, 52259, 52467, 52493, 56717, 57479, 52485, 51511, 51685, 56636, 53601, 74502, 50799, 76049, 50802, 51511, 52570, 50798, 52716, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51075, 57825, 52467, 52716, 56717, 57479, 52485, 76049, 51599, 77800, 50799, 53682, 51585, 50852, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 15352, 30054, 23225, 4, 20, 12280, 3275, 1725, 3109, 1239, 1312, 1289, 6, 816, 11, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 83, 6, 211, 6, 8, 272, 4, 590, 10, 13428, 9, 28816, 2397, 6, 24, 18, 10, 13363, 28191, 3251, 149, 31003, 6711, 29, 8, 32343, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50418, 52205, 71030, 54066, 50993, 50436, 54066, 50993, 50445, 54066, 50823, 52573, 51072, 50449, 53382, 58615, 54081, 50823, 52049, 50993, 50458, 52662, 50823, 50799, 52049, 50993, 54081, 68173, 52797, 50860, 52044, 50976, 50427, 52049, 50802, 52205, 52030, 51975, 50860, 52416, 50976, 50436, 52242, 50802, 52662, 56119, 52044, 50860, 53731, 50976, 50445, 52573, 50823, 54066, 63816, 54081, 50823, 52049, 66395, 52662, 56250, 52205, 50823, 53029, 50824, 50799, 53731, 68159, 59112, 50993, 52205, 50993, 50428, 52797, 50860, 52044, 54684, 52049, 73947, 74089, 51975, 50860, 52416, 61870, 52242, 50860, 52662, 67289, 52044, 50860, 53731, 54554, 52573, 50823, 54066, 60111, 54081, 50823, 52049, 79263, 52662, 50823, 51601, 52205, 50823, 53029, 50824, 50419, 53731, 60134, 59112, 50993, 52205, 70245, 53029, 50993, 52049, 50824, 50437, 52044, 59650, 52797, 50823, 53029, 50993, 50446, 52049, 53798, 53029, 50993, 53382, 50993, 57082, 72430, 53029, 50993, 52049, 50824, 51809, 52044, 55573, 52797, 50823, 53029, 50993, 50424, 52049, 58814, 53029, 50993, 52662, 50993, 53382, 50993, 50437, 53029, 50993, 52049, 75085, 52044, 56695, 52797, 50823, 53029, 50993, 50451, 52049, 64776, 52662, 50823, 55061, 72430, 52044, 50823, 51809, 54081, 50823, 59112, 57214, 52662, 67233, 52205, 58814, 53731, 61964, 52205, 50993, 50442, 53029, 50993, 52205, 70048, 52573, 66054, 53895, 50823, 52205, 61828, 53029, 67903, 51975, 50993, 52416, 50993, 52205, 50993, 55753, 53029, 50993, 52205, 50993, 50425, 52573, 58814, 53895, 50823, 52205, 50993, 50434, 53029, 53925, 52242, 50993, 51975, 50993, 52205, 70048, 53029, 50993, 52205, 50993, 50451, 52573, 54178, 53895, 50823, 52205, 50993, 50460, 53029, 50823, 51809, 54066, 50823, 55061, 50993, 50421, 53382, 63606, 54081, 50823, 59112, 51009, 50430, 52662, 55996, 52205, 53925, 53731, 69455, 52205, 51009, 50452, 53029, 50993, 52049, 61828, 52573, 62181, 53895, 50823, 52049, 50993, 52177, 53029, 67721, 52049, 50975, 51975, 50975, 52416, 74512, 53029, 50993, 52049, 69464, 52573, 65196, 53895, 50823, 52049, 50993, 50443, 53029, 70290, 52049, 50975, 52242, 50975, 51975, 59315, 53029, 50993, 52049, 50993, 50461, 52573, 50823, 52177, 53895, 50823, 52049, 50993, 50422, 53029, 53537, 52044, 50823, 55061, 50993, 50430, 51975, 59184, 52797, 50823, 59112, 51407, 50439, 52242, 69455, 52049, 70290, 53322, 71524, 52049, 51066, 50799, 53029, 50823, 54081, 59889, 53895, 50823, 52205, 60134, 52573, 50823, 52044, 64262, 52049, 50823, 52797, 54179, 52049, 50993, 54081, 50993, 50440, 56280, 50823, 52662, 67505, 53249, 50823, 53731, 63816, 52573, 50823, 52044, 58615, 53322, 50823, 52242, 56250, 53322, 50993, 52662, 50993, 53069, 53029, 50823, 54081, 60134, 53895, 50823, 52205, 64262, 52573, 50823, 52044, 54179, 52049, 50823, 52797, 65733, 52049, 50823, 54081, 51029, 50445, 55061, 51009, 50454, 52662, 52884, 54081, 58150, 52662, 59616, 54081, 50811, 50799, 52662, 68173, 53029, 50823, 54081, 65759, 53895, 50823, 52205, 54179, 52573, 50823, 52044, 61109, 52049, 50823, 52797, 59475, 52049, 50975, 54081, 58981, 56280, 50823, 52662, 60111, 53249, 50823, 53731, 57239, 52573, 50823, 52044, 50823, 51601, 53322, 50823, 52242, 68159, 53322, 50975, 52662, 50975, 50428, 55342, 50823, 52205, 54179, 53029, 50823, 52416, 61109, 53882, 50823, 53634, 59475, 52740, 50823, 52049, 56695, 52740, 50823, 52205, 51029, 50454, 55061, 51407, 51601, 53731, 55804, 52205, 60861, 53731, 57646, 52205, 58242, 53731, 72371, 52342, 50811, 52573, 50993, 52242, 50993, 50436, 52205, 52952, 52662, 59650, 52205, 50823, 52573, 50993, 52242, 70048, 52342, 66054, 52416, 50823, 52573, 50993, 52443, 50993, 50455, 52044, 73481, 52416, 50811, 53882, 50993, 52443, 50993, 50799, 52342, 62601, 52205, 55573, 52342, 50823, 53882, 50993, 52242, 50993, 50425, 52416, 58814, 52044, 50823, 53882, 50993, 52242, 50993, 50434, 52416, 55276, 52342, 50811, 52573, 50993, 52242, 50993, 50440, 52205, 60681, 52662, 59981, 52205, 50823, 52550, 50993, 52242, 50993, 50451, 52342, 64776, 52416, 50823, 53296, 50993, 52049, 50993, 50460, 52044, 50823, 51809, 52044, 50993, 53249, 51029, 50425, 52342, 50811, 52242, 51029, 50427, 52416, 54935, 52342, 52726, 52416, 57485, 52342, 58212, 52416, 50976, 50443, 52342, 50811, 52573, 50993, 52242, 50993, 50445, 52205, 55059, 52662, 71524, 52205, 50823, 52573, 50993, 52242, 61828, 52342, 67903, 52416, 50823, 52573, 50993, 52443, 50993, 52177, 52044, 67721, 52416, 50811, 53882, 50993, 52443, 68173, 52342, 58099, 52205, 58656, 52342, 50823, 53882, 50993, 52242, 50993, 50434, 52416, 65196, 52044, 50823, 53882, 50993, 52242, 50993, 50443, 52416, 59981, 52342, 50811, 52573, 50993, 52242, 58348, 52205, 62161, 52662, 54178, 52205, 50823, 52550, 50993, 52242, 50993, 50460, 52342, 50823, 52177, 52416, 50823, 53296, 50993, 52049, 50993, 50421, 52044, 53537, 52044, 50811, 53249, 51300, 50428, 52416, 58459, 52342, 52726, 52416, 57485, 52342, 57784, 52416, 59071, 52342, 55092, 52416, 51072, 50443, 52242, 51072, 50452, 52342, 50860, 52662, 50993, 50455, 52044, 61046, 52242, 66426, 52416, 50860, 52662, 50993, 51809, 53634, 71249, 52242, 63541, 52342, 50860, 52662, 50993, 50425, 52044, 71355, 52242, 65492, 52205, 50860, 53640, 50993, 50434, 52044, 66519, 52443, 67476, 52342, 50860, 52662, 50993, 50442, 52044, 67289, 52443, 73422, 52205, 50860, 53640, 50993, 50451, 52044, 70937, 52443, 65836, 52205, 50860, 52662, 50993, 50460, 52416, 50860, 51601, 52242, 50860, 50418, 52342, 50860, 54066, 50993, 50421, 52044, 71577, 52242, 66057, 52416, 50860, 57557, 50993, 50430, 53634, 65174, 52242, 51407, 50436, 53634, 50993, 52416, 51029, 57557, 62001, 52044, 51029, 52342, 51029, 50453, 54066, 50993, 50799, 52342, 50860, 52662, 72642, 52044, 56111, 52242, 62643, 52416, 50860, 52662, 59101, 53634, 60280, 52242, 54684, 52342, 50860, 52662, 69464, 52044, 55276, 52242, 61870, 52205, 50860, 53640, 62186, 52044, 61443, 52443, 67976, 52342, 50860, 52662, 50993, 50452, 52044, 69502, 52443, 61046, 52205, 50860, 53640, 50993, 50461, 52044, 50860, 51809, 52443, 71249, 52205, 50860, 52662, 50993, 50422, 52044, 65644, 52242, 71355, 52342, 50860, 54066, 50993, 50431, 52044, 62751, 52242, 66519, 52416, 50860, 57557, 50993, 50440, 53634, 70636, 52242, 51407, 50446, 53634, 50993, 52416, 50993, 57557, 50993, 50455, 54066, 51029, 51809, 53731, 51066, 52044, 66489, 52662, 50823, 56280, 50993, 50430, 53731, 55996, 52044, 50823, 56280, 50993, 50439, 52242, 69455, 53322, 50823, 56280, 50993, 50448, 52573, 71524, 53029, 50823, 52797, 61828, 53895, 62181, 52573, 50823, 52797, 50993, 52177, 52049, 67721, 52797, 50823, 52662, 59101, 52044, 58656, 52205, 50823, 55342, 69464, 52416, 65196, 53634, 50823, 55342, 50993, 50443, 52049, 70290, 52740, 50823, 55342, 50993, 50452, 53882, 54178, 56280, 50823, 52242, 50993, 50461, 53249, 50823, 52177, 52573, 50823, 52242, 50993, 50422, 53322, 53537, 52242, 50823, 52205, 50993, 50430, 53634, 59184, 53731, 50823, 55061, 50993, 50439, 52044, 69455, 52242, 50823, 55061, 50993, 50448, 53322, 71524, 52573, 50823, 55061, 50993, 50457, 53895, 62181, 55342, 50823, 52049, 50993, 52177, 53029, 56733, 53882, 50823, 52049, 59101, 52740, 58656, 52049, 50823, 53731, 69464, 53634, 65196, 52416, 50823, 59040, 62186 ]
[ 0, 250, 765, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 15352, 30054, 11739, 9, 13305, 6, 21979, 9590, 6, 2382, 3459, 8669, 6, 486, 118, 9877, 483, 6, 8, 32909, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 1372, 5466, 4, 20, 2125, 3905, 10, 33215, 16739, 9, 230, 406, 6, 274, 6, 230, 6, 274, 6, 8, 163, 428, 6, 2351, 10, 5679, 26709, 8, 33558, 16464, 1328, 63, 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 ]	[ 54458, 60820, 76557, 51124, 50899, 71313, 51346, 50906, 51377, 51234, 53435, 50798, 51012, 51206, 53576, 50899, 69348, 79266, 53473, 53244, 51081, 53936, 50306, 71313, 51346, 50906, 51162, 50997, 51358, 50816, 51030, 58296, 74494, 50883, 50906, 53473, 53307, 51081, 54968, 60833, 50871, 51060, 50906, 51111, 51081, 57825, 50893, 55989, 74494, 78440, 72974, 52732, 50940, 56415, 76463, 60746, 57973, 50899, 71255, 79266, 72020, 56613, 50882, 62529, 53194, 50302, 51116, 50871, 51124, 50906, 51124, 50902, 51345, 51234, 54055, 50798, 51014, 51206, 54402, 50899, 60953, 63804, 54845, 54631, 51146, 71863, 51215, 50871, 51255, 50906, 51124, 50902, 68215, 57359, 50906, 66877, 64587, 52847, 53660, 51146, 54968, 50871, 61752, 67922, 74822, 51735, 50997, 57394, 50921, 55989, 69348, 77117, 63307, 58376, 54755, 50906, 71673, 60746, 57830, 50899, 69348, 74360, 65039, 55309, 50809, 55435, 51124, 50902, 51116, 50931, 51238, 51339, 74806, 51377, 51234, 74541, 51021, 51206, 50855, 54569, 66824, 74360, 54119, 54818, 71702, 51339, 58503, 51242, 66002, 50997, 51241, 50816, 57611, 50899, 69348, 77117, 54119, 55632, 51339, 54968, 51339, 50950, 50902, 56902, 51021, 55989, 71142, 77117, 50846, 51146, 51695, 52555, 51081, 51031, 50997, 63947, 50808, 51234, 67450, 63109, 50899, 71255, 77117, 51731, 50330, 53275, 50314, 51608, 50297, 52392, 50876, 51605, 50843, 50859, 56229, 52035, 50307, 51291, 51247, 51933, 50798, 51030, 51206, 52981, 50871, 65490, 50895, 50876, 50828, 51339, 52942, 54007, 51339, 69356, 51339, 52630, 50877, 57321, 54725, 50871, 72199, 67661, 50884, 51339, 50817, 50861, 64321, 52444, 50956, 60015, 51226, 50871, 51362, 51339, 57520, 56209, 50871, 68344, 78954, 57158, 54721, 51050, 77065, 58603, 50956, 68344, 78954, 50818, 51247, 63342, 50812, 55694, 51060, 50899, 71883, 51290, 50906, 51159, 50997, 51446, 51234, 51933, 52243, 51163, 58168, 55105, 50871, 72974, 60102, 55250, 53425, 50906, 63461, 75494, 51227, 50906, 51377, 50816, 68067, 52925, 50899, 62296, 74220, 53846, 61023, 50906, 55395, 50871, 51345, 50997, 70022, 64292, 58419, 52221, 68067, 52878, 50899, 71357, 77117, 53846, 54411, 51050, 51162, 50871, 51073, 60355, 51247, 53030, 55328, 53268, 50899, 71142, 78440, 55250, 50890, 55331, 51215, 50997, 51346, 50906, 51377, 50902, 51162, 50871, 52056, 51234, 51692, 50798, 60538, 53223, 50899, 71142, 77117, 57158, 52329, 50902, 74492, 75494, 51221, 50906, 51112, 50902, 51112, 50816, 68067, 52844, 50871, 74360, 66877, 54845, 59046, 50902, 53219, 50906, 50991, 50902, 73642, 53531, 50309, 51189, 50997, 51189, 52615, 51024, 52986, 50899, 65124, 74360, 54845, 54755, 63199, 51247, 60597, 59451, 55328, 53017, 50899, 71142, 78440, 54845, 50887, 54578, 50822, 50931, 51175, 50997, 72999, 51159, 50902, 51048, 50931, 51048, 51234, 51413, 78816, 53227, 50899, 69348, 74360, 54845, 52329, 50931, 51173, 50902, 51157, 50931, 51048, 50997, 51103, 50906, 51422, 50816, 55400, 52925, 50871, 77117, 66877, 55250, 53307, 50931, 53574, 51001, 70452, 60693, 51101, 51234, 71941, 55941, 52616, 50899, 63307, 69366, 63762, 66919, 51238, 50931, 54982, 55510, 51001, 58822, 55768, 52881, 50899, 62847, 78440, 50828, 50997, 50925, 66557, 50902, 55185, 50930, 54960, 51345, 51247, 59460, 51285, 50876, 51336, 51050, 55956, 55941, 53227, 50900, 62221, 62125, 55557, 50890, 53645, 51221, 77195, 51085, 55107, 55328, 52925, 50956, 74359, 62465, 60191, 75205, 51351, 50843, 53294, 51247, 58681, 59428, 51204, 50877, 51285, 50876, 58673, 68067, 55489, 50900, 72792, 74494, 65147, 50895, 51214, 51101, 50843, 54755, 51279, 62377, 60826, 51255, 50816, 59146, 50836, 54710, 54403, 50900, 72792, 65124, 65490, 71255, 51962, 50319, 51828, 50285, 50849, 54578, 52415, 50314, 50967, 51234, 61471, 65757, 51472, 50902, 74903, 59146, 52981, 50899, 69348, 78440, 63307, 66696, 52329, 50906, 51588, 50294, 64989, 56153, 52417, 50899, 66824, 77117, 62176, 56613, 54957, 69391, 51197, 51056, 51001, 73453, 51226, 51001, 50918, 52723, 51024, 54247, 50956, 61508, 69074, 61368, 62720, 55268, 50906, 73787, 67450, 55768, 54583, 50956, 70215, 69771, 50818, 51001, 61871, 50809, 54662, 51091, 50997, 50983, 50931, 74726, 51291, 50902, 51285, 50931, 51661, 52613, 51259, 52981, 50899, 66824, 78440, 53846, 54392, 51120, 51380, 50816, 56715, 53695, 50906, 66877, 63307, 56690, 55395, 50956, 51215, 50906, 51203, 51001, 51238, 50951, 51255, 51197, 51346, 50951, 51048, 70663, 54840, 50956, 74360, 61686, 54845, 54755, 50956, 64471, 68694, 50980, 51197, 65439, 71491, 55768, 53268, 50956, 70215, 69771, 50846, 50973, 50361, 51168, 50890, 54662, 51162, 50871, 51291, 50902, 51413, 50906, 68900, 50918, 52615, 51024, 53223, 50899, 65124, 78440, 50841, 50997, 51016, 50843, 54392, 51234, 51112, 50816, 56715, 52209, 50899, 64587, 52717, 50314, 57158, 55395, 51247, 51116, 51050, 51446, 50876, 51413, 50871, 51446, 50877, 51661, 50876, 51077, 52723, 51024, 53041, 50900, 72792, 74494, 68344, 54357, 54411, 50956, 51412, 51247, 64019, 55768, 52579, 50900, 72792, 69348, 68344, 54357, 50809, 71910, 65757, 51623, 50871, 51896, 50899, 51591, 50906, 51591, 50906, 51161, 52723, 51024, 52761, 50899, 71142, 77117, 54119, 54392, 51247, 64019, 66435, 52667, 50899, 66824, 78440, 55250, 54957, 51234, 52221, 50893, 51206, 52616, 50899, 62847, 64923, 53800, 61326, 51247, 51800, 50297, 61581, 51285, 50816, 57251, 50899, 63336, 74220, 53816, 50880, 53206, 50840, 55694, 51111, 50997, 51215, 50899, 50967, 50906, 50991, 51234, 56001, 50925, 51206, 53227, 50899, 65124, 77117, 54845, 54392, 50906, 64823, 51060, 78441, 50871, 51238, 50906, 51221, 51247, 70229, 51740, 53063, 50899, 66824, 74360, 53434, 61023, 50906, 53219, 50871, 51159, 53492, 58419, 58419, 52530, 50302, 62525, 50995, 78816, 53044, 50899, 69348, 77117, 53846, 56604, 51050, 51162, 50871, 51162, 63571, 51247, 64019, 55768, 52738, 50899, 63307, 64923, 54996, 50880, 55435, 51121, 50871, 51043, 50906, 51194, 50902, 51110, 50902, 51095, 53492, 50914, 52615, 51024, 53227, 50899, 69348, 78440, 54119, 55447, 50902, 51173, 50997, 75494, 51124, 50902, 51116, 50906, 51162, 51247, 64019, 54320, 54216, 50899, 66824, 77117, 53816, 61968, 50902, 53219, 50906, 51377, 50997, 64424, 61471, 50807, 51234, 51291, 50871, 51183, 70663, 53044, 50899, 65124, 74220, 53434, 56604, 50973, 69686, 51048, 51050, 60597, 51413, 50816, 54320, 52881, 50899, 62847, 77117, 53846, 50890, 56229, 51175, 50997, 51124, 50902, 51116, 79500, 51234, 51661, 52615, 51024, 53203, 50899, 62379, 64122, 54996, 54818, 50931, 51173, 50997, 76343, 51345, 70338, 50931, 51157, 50816, 56153, 53063, 50899, 62847, 79266, 56129, 58970, 50931, 53574, 51001, 76198, 52415, 50323, 74492, 51291, 50906, 51314, 51234, 51077, 52723, 51024, 52616, 50899, 63336, 74360, 68895, 52434, 50321, 76923, 59689, 53711, 51001, 52545, 50319, 57957, 56153, 53268, 50899, 60953, 69686, 50863, 50876, 50870, 64144, 50902, 59964, 50890, 54960, 51073, 51247, 60015, 51362, 50876, 51417, 51050, 51291, 70663, 53227, 50900, 62379, 61768, 56690, 54818, 53492, 50827, 50876, 51124, 50871, 51112, 52206, 64648, 56153, 52844, 50956, 74359, 62465, 60191, 62125, 69163, 56341, 51247, 60763, 60821, 51351, 50877, 51661, 51050, 74462, 51413, 75977, 52615, 51024, 52878, 50900, 72794, 71142, 63864, 53759, 54755 ]
[ 0, 250, 15855, 8, 19834, 12, 13028, 765, 2214, 14, 7630, 6568, 10, 25306, 8, 9066, 5466, 4, 20, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 32909, 6, 1515, 21305, 6, 8, 21040, 2426, 283, 561, 7, 1045, 10, 5386, 8, 814, 12, 21330, 2369, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 8, 10, 132, 73, 176, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 3676, 406, 428, 245, 73, 495, 6, 274, 119, 6, 381, 73, 387, 6, 1918, 6, 8, 163, 428, 73, 597, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52665, 51313, 51996, 51313, 52196, 51313, 59439, 79197, 55308, 51243, 50461, 60691, 51353, 50799, 52338, 51243, 52695, 51243, 51946, 51243, 50415, 56049, 51748, 50421, 51649, 51851, 50422, 54039, 51851, 50424, 51649, 51851, 51257, 51319, 50425, 51649, 51319, 54039, 51319, 50428, 51649, 51319, 51257, 70813, 51649, 51297, 54039, 51297, 50431, 51257, 51297, 51649, 51297, 50433, 51649, 51128, 54039, 64568, 51257, 51128, 51649, 73370, 51649, 51128, 54039, 59656, 51257, 51126, 51649, 51126, 50440, 51649, 51000, 54039, 74965, 51257, 51000, 51649, 56069, 51649, 50971, 54039, 64529, 51257, 50971, 51649, 68656, 54039, 50971, 51649, 55256, 51257, 50941, 51649, 78127, 51649, 50941, 54039, 72587, 51257, 50941, 51649, 55293, 51649, 50941, 54039, 66585, 51257, 50941, 51649, 74509, 64885, 51353, 54039, 50941, 51649, 50941, 50799, 54277, 51243, 54541, 51243, 51996, 51243, 51257, 50941, 51649, 50941, 50415, 56708, 51922, 50416, 51649, 50941, 54039, 71045, 51257, 50971, 51649, 72428, 54039, 55650, 51649, 72640, 51257, 67643, 51649, 63521, 54039, 64179, 51649, 64761, 51257, 51000, 51649, 51000, 50427, 54039, 51126, 50428, 51649, 68364, 51257, 51128, 51649, 69957, 54039, 51297, 51649, 51297, 50434, 51649, 51297, 51257, 51297, 50436, 54039, 51319, 50437, 51649, 64212, 51257, 51319, 51649, 51319, 50440, 51649, 51851, 50442, 51257, 51851, 51649, 51851, 50461, 76860, 51353, 50799, 55308, 51243, 54541, 51243, 53064, 51243, 50415, 67792, 52727, 50426, 52155, 50924, 50427, 54019, 50924, 52355, 50917, 50430, 53602, 50942, 52315, 50942, 50431, 52186, 72215, 52795, 50866, 51752, 57815, 51784, 50866, 50439, 54568, 51189, 52549, 51141, 52671, 51189, 50456, 52882, 51101, 51789, 51101, 50457, 52285, 51177, 50461, 59439, 51353, 50799, 52665, 51293, 51996, 51445, 52196, 51293, 54699, 50938, 50415, 55308, 52727, 66206, 51293, 52355, 51264, 52155, 51293, 50418, 54560, 51254, 50422, 54978, 75027, 54377, 51933, 50461, 58366, 51359, 50799, 52695, 51151, 51946, 51151, 52032, 79197, 54277, 51748, 50422, 51649, 51851, 54039, 51851, 50424, 51257, 51319, 51649, 59197, 51649, 51319, 54039, 51319, 50428, 51649, 51319, 51257, 51319, 50430, 51649, 51297, 54039, 58255, 51257, 51297, 51649, 51297, 50434, 51649, 51297, 54039, 75753, 51257, 51128, 51649, 60438, 54039, 51128, 50439, 51649, 78692, 51257, 74593, 51649, 51126, 50443, 51649, 51126, 54039, 51126, 50445, 51257, 51000, 51649, 66701, 51649, 50971, 54039, 65397, 51257, 50971, 51649, 79390, 54039, 50971, 51649, 60754, 51257, 50971, 51649, 67010, 51649, 50971, 54039, 77379, 51257, 50971, 51649, 61545, 54039, 68358, 55793, 51359, 51649, 65540, 51257, 50971, 51649, 50971, 50799, 51996, 51151, 52541, 51151, 51836, 79197, 52338, 51922, 51649, 50971, 54039, 66981, 51257, 50971, 51649, 72428, 51649, 50971, 54039, 72640, 51257, 50971, 51649, 58116, 54039, 64179, 51649, 54689, 51257, 50971, 51649, 70001, 51649, 50971, 54039, 67393, 51257, 50971, 51649, 64463, 51649, 50971, 54039, 71588, 51257, 50971, 51649, 67009, 51649, 50971, 54039, 55108, 51257, 50971, 51649, 76428, 51649, 51000, 54039, 74965, 51257, 51000, 51649, 79392, 54039, 60825, 51649, 51126, 50445, 54039, 51126, 50446, 51257, 51126, 51649, 51126, 50448, 51649, 51128, 54039, 60801, 51257, 51128, 51649, 51128, 50452, 51649, 51128, 54039, 51128, 50454, 51257, 51297, 51649, 60550, 51649, 51297, 54039, 51297, 50458, 51257, 51319, 51649, 51319, 50460, 54039, 51319, 51649, 51319, 50799, 53064, 51293, 52196, 51293, 53916, 51293, 60515, 51307, 50415, 54541, 51748, 51257, 51319, 51649, 51319, 50417, 51649, 51851, 54039, 51851, 50419, 51257, 51851, 51649, 51851, 50421, 51649, 51851, 50455, 54182, 50862, 50799, 55430, 52250, 55430, 51717, 54182, 51124, 50423, 56026, 50901, 50430, 54890, 53264, 54182, 51134, 50440, 57302, 51562, 58185, 51562, 55846, 51562, 50457, 54182, 50937, 51601, 58373, 51377, 50425, 61384, 50892, 50431, 56026, 79271, 58373, 71380, 57734, 51397, 62059, 51397, 59522, 51397, 50455, 54890, 50833, 50799, 54890, 51110, 50422, 61384, 51121, 50430, 56026, 51177, 50437, 54890, 76098, 58185, 51562, 56825, 51562, 56482, 51562, 50453, 60616, 75404, 61384, 64801, 56026, 50981, 52591, 61384, 51178, 50428, 60616, 51101, 50437, 60616, 71442, 57302, 51397, 58185, 51562, 55846, 51562, 50456, 54182, 50925, 50799, 55308, 51243, 51996, 51313, 52196, 51313, 52601, 51313, 54182, 51178, 50423, 56026, 51043, 50431, 54890, 51121, 50439, 54182, 51134, 50456, 54182, 50866, 50799, 56177, 51671, 53064, 51243, 52541, 51243, 53339, 51243, 50415, 58373, 77399, 61384, 50987, 50431, 56026, 68535, 58373, 50943, 50799, 56049, 51445, 52665, 51293, 51946, 51293, 52032, 51293, 54890, 51043, 50422, 61384, 51412, 50430, 56026, 51337, 50439, 54890, 51391, 50453, 61384, 70634, 56026, 50937, 50461, 50628, 50799, 54541, 51243, 53064, 51313, 52196, 51313, 53916, 51313, 53215, 52024, 53215, 52024, 50415, 54890, 51121, 50422, 54182, 51043, 50430, 54489, 64967, 54182, 52919, 57530, 51011, 51730, 53435, 51925, 51407, 50768, 50277, 66403, 51883, 50873, 51883, 53890, 51638, 50833, 51638, 50833, 69450, 54342, 51883, 50833, 51883, 50833, 69450, 80223, 52155, 53040, 51638, 50833, 51638, 50833, 52315, 51212, 50443, 52155, 51481, 50444, 51883, 50833, 51883, 62955, 52315, 53161, 50450, 51638, 50873, 51638, 50873, 69450, 55345, 51883, 50855, 51883, 50855, 52155, 54521, 50460, 59017, 51945, 53534, 55956, 52392, 50768, 50277, 52115, 51883, 63471, 51883, 53049, 51638, 50833, 51638, 50833, 69450, 53052, 51883, 50833, 51883, 50833, 69450, 55306, 51638, 50833, 51638, 54207, 51299, 50833, 51299, 53639, 51883, 50855, 51883, 50855, 69450, 50873, 50452, 51638, 59012, 51638, 63152, 51883, 54583, 51883, 50855, 54890, 69866, 51638, 50855, 51638, 57326, 50979, 52069, 58048, 51538, 50461, 50847, 51692, 68051, 50887, 51088, 50811, 51093, 61056, 51692, 54890, 50893, 50953, 55998, 52392, 51270, 50374, 54502, 51534, 50768, 50277, 62192, 52143, 51671, 50423, 54890, 58292, 51270, 50886, 69450, 70217, 54890, 51173, 66962, 50901, 69450, 76782, 51270, 55799, 51299, 50855, 51088, 50855, 51093, 59079, 51270, 53115, 51299, 51010, 51088, 50811, 51093, 50890, 51133, 51003, 51270, 79743, 53032, 75665, 51270, 55814, 51299, 51010, 51088, 50811, 51093, 50890, 51133, 51003, 69450, 70334, 51383, 55346, 51383, 78473, 53032, 57747, 51017, 51115, 50799, 51794, 50840, 51154, 50887, 74739, 52602, 51449, 78550, 51186, 55998, 52536, 52365, 51423, 51270, 50837, 50768, 50277, 50879, 50415, 53032, 66139, 50939, 51134, 50423, 54489, 51060, 51270, 58964, 51270, 53935, 69450, 74168, 51270, 61699, 58373, 58443, 51186, 50901, 51270, 50822, 69450, 73626, 50909, 55098, 51794, 50855, 66528, 51165, 55395, 51794, 50930, 51154, 77923, 50887, 61966, 50945, 51003, 51270, 51365, 50439, 54890, 51060, 50442, 50939, 54207, 51270, 51051, 50446, 50939, 53639, 51794, 50962, 51154, 50962, 51165, 51010, 65500, 50945, 51003, 51383, 50928, 69450, 70172, 50992, 53920, 54890, 79350, 51126, 50458, 56894, 50799, 52143, 51293, 51299, 50880, 65182, 51093, 50887, 50979, 51790, 50953, 55998, 52392, 52365, 52059, 51270, 50904, 50768, 50277, 50879, 50415, 54890, 51060, 50416, 50847, 51790, 50909, 51790, 50422, 51270, 56295, 66023, 51631, 51270, 51058, 69450, 50905, 50430, 56026, 62109, 50953, 50901 ]
[ 0, 250, 15352, 30054, 3495, 8, 5175, 1619, 2214, 4246, 13305, 6, 6755, 12547, 6, 1076, 560, 31365, 25999, 6, 31391, 1672, 9590, 6, 8, 26432, 636, 3938, 22052, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 27841, 3006, 11332, 20889, 9, 5773, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 6453, 9, 26545, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50650, 61627, 52678, 52254, 56103, 53542, 58378, 50866, 64149, 50836, 53502, 51605, 51947, 51420, 63711, 54317, 50989, 51685, 52698, 50936, 63306, 54053, 50916, 51358, 52384, 53097, 52854, 63711, 54728, 50973, 50980, 53084, 51167, 64149, 50836, 51180, 63711, 57291, 50877, 51226, 52148, 67424, 63306, 54647, 50989, 50865, 52698, 51100, 52636, 63711, 50904, 57126, 54089, 51279, 54089, 51040, 54089, 50916, 54089, 50973, 54089, 51844, 51552, 52033, 51492, 52384, 51591, 50801, 50878, 64149, 50836, 51039, 63711, 54317, 63306, 64855, 52678, 62019, 51374, 51059, 52678, 50938, 53510, 51084, 63123, 51971, 54930, 64149, 63954, 52678, 50921, 51180, 63711, 66185, 52678, 58460, 51844, 50930, 63306, 58215, 51971, 52931, 51374, 52590, 51373, 63711, 66460, 52678, 51469, 56682, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 50880, 53782, 52854, 63711, 54728, 51040, 50800, 63282, 50973, 59065, 50830, 64149, 50836, 51180, 63711, 57291, 51040, 76200, 52236, 50310, 52236, 50315, 54411, 51374, 50898, 54800, 54647, 51040, 75007, 59065, 50830, 59836, 51844, 50911, 52636, 63711, 50904, 56178, 50921, 50989, 50921, 50973, 50921, 51176, 53898, 54457, 51552, 52402, 73086, 50878, 64149, 50836, 51039, 63711, 57559, 52943, 58798, 51040, 51605, 63306, 57850, 50956, 51605, 52943, 58466, 50989, 51585, 50973, 51585, 51533, 51059, 53510, 51084, 64248, 52678, 58866, 64149, 66425, 52943, 60224, 52943, 52938, 63711, 66185, 52678, 54230, 54457, 50930, 63306, 64526, 52943, 51264, 50456, 51533, 52590, 51373, 63711, 50904, 65718, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 50904, 53523, 51192, 63306, 54053, 51176, 53305, 52854, 63711, 54728, 50900, 51192, 50956, 51192, 50989, 51192, 50973, 51192, 64149, 50836, 51180, 63711, 54915, 50956, 50809, 51533, 50898, 54800, 54647, 50916, 50818, 54457, 50911, 52636, 63711, 50904, 57126, 51919, 50289, 75962, 59368, 58692, 50806, 51844, 51552, 52033, 53520, 50801, 50878, 64149, 50836, 51039, 63711, 62488, 52678, 55440, 50916, 51049, 54800, 64855, 52943, 65337, 52943, 56799, 51040, 52236, 50310, 50880, 51374, 51059, 53510, 51084, 64248, 52678, 59646, 64149, 66425, 52943, 51215, 51180, 63711, 66185, 52943, 51294, 59758, 52236, 50315, 50880, 51844, 50930, 63306, 54647, 51374, 52590, 51373, 63711, 50904, 56682, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 62488, 52678, 57818, 63306, 64855, 52943, 60133, 52943, 53193, 51279, 71599, 52854, 63711, 64248, 52678, 58346, 51040, 50921, 50989, 50921, 50973, 50921, 50916, 50936, 64149, 66425, 52943, 52711, 52943, 50925, 53510, 51084, 63155, 52678, 68465, 51374, 50817, 52402, 50795, 63306, 54647, 50916, 50809, 51844, 50911, 52033, 51650, 51373, 63711, 72806, 52235, 51591, 54578, 50921, 50965, 50921, 50973, 50921, 50902, 51919, 50297, 51469, 51132, 75759, 50878, 64149, 64580, 51743, 51492, 64401, 51605, 53510, 51084, 50904, 53337, 51161, 63306, 54053, 50871, 51685, 50965, 51685, 73646, 53510, 51084, 54728, 64149, 62859, 52235, 50925, 51180, 63711, 63319, 52943, 56060, 51957, 50930, 63306, 67323, 52235, 63335, 52235, 58774, 51181, 52590, 51373, 63711, 59934, 52943, 50921, 54206, 51167, 50973, 51167, 50871, 51160, 50965, 51160, 51957, 52369, 50801, 50866, 64149, 64580, 52235, 51452, 51039, 63711, 54317, 63306, 50880, 53782, 52854, 63711, 54728, 50871, 50980, 50965, 50980, 50973, 72544, 50980, 64149, 50836, 51180, 63711, 54915, 51844, 50898, 54800, 54647, 51957, 50911, 52636, 63711, 50904, 56310, 50921, 51040, 50921, 50916, 50921, 50989, 50921, 51120, 51196, 51181, 51552, 52332, 73086, 50878, 64149, 50836, 51039, 63711, 54317, 51040, 50809, 63306, 64855, 53399, 50950, 50431, 53399, 53974, 51027, 52236, 50305, 52236, 50310, 50880, 51181, 51059, 53510, 51084, 57869, 52235, 54930, 64149, 66425, 53399, 72915, 53399, 50882, 51180, 63711, 57291, 52235, 55178, 51844, 51290, 63306, 58215, 53399, 65563, 52636, 63711, 60863, 53399, 51945, 56310, 50821, 51040, 73235, 50821, 50989, 50921, 51120, 51585, 51181, 51573, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 54053, 51027, 50983, 51040, 50983, 50989, 50983, 51181, 54774, 52854, 63711, 54728, 64149, 50836, 51180, 63711, 54915, 69248, 63306, 58215, 51040, 73235, 50821, 50989, 50821, 50877, 58133, 77682, 52636, 63711, 50904, 54578, 51055, 50973, 51196, 50968, 51196, 54311, 51552, 51743, 73086, 50878, 64149, 54402, 51086, 51091, 53510, 51084, 50904, 53337, 51055, 63306, 64855, 53399, 67757, 53399, 52686, 50871, 50865, 54311, 51603, 53510, 51084, 64248, 52235, 58927, 53399, 50821, 64149, 63954, 53399, 60835, 54311, 50898, 63711, 63319, 52235, 56060, 77682, 53399, 51192, 63306, 54647, 51374, 52590, 51373, 63711, 66460, 53399, 52017, 57844, 50921, 50871, 62509, 51919, 50320, 50936, 54311, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 54053, 50871, 71987, 50980, 50973, 79078, 66191, 52854, 63711, 54728, 64149, 50836, 51180, 63711, 54915, 51533, 50898, 54800, 54647, 50916, 51285, 75899, 50973, 51285, 50902, 51285, 54311, 50911, 52636, 63711, 50904, 53997, 51685, 51338, 51552, 52033, 59578, 50878, 64149, 54402, 51086, 51291, 53510, 51084, 54317, 50916, 50983, 63306, 64855, 53399, 50950, 50430, 53399, 53974, 50861, 50980, 50973, 72544, 50980, 51338, 51059, 53510, 51084, 64248, 52235, 56057, 53399, 50882, 64149, 62859, 53399, 50952, 51180, 63711, 66185, 52235, 63589, 79756, 63306, 54647, 74904, 53399, 51192, 52636, 63711, 50904, 56178, 62509, 63621, 51919, 50315, 50936, 51857, 75759, 50866, 64149, 64580, 52402, 64163, 53399, 51274, 51039, 63711, 54317, 63306, 54053, 50956, 50821, 74302, 51857, 59110, 52854, 63711, 54728, 64149, 63954, 53399, 50859, 51180, 63711, 63319, 52235, 59881, 63306, 67323, 53399, 65243, 53399, 52643, 51857, 50911, 52636, 63711, 66460, 52235, 50937, 54852, 79730, 51919, 50310, 51919, 50317, 51919, 50294, 51469, 51374, 51552, 51881, 59578, 50878, 64149, 64580, 52678, 51077, 51039, 63711, 54317, 63306, 54053, 67243, 51374, 51059, 53510, 51084, 54728, 50989, 50821, 74231, 64149, 50836, 51180, 63711, 57291, 50899, 52555, 51857, 50930, 63306, 58215, 52678, 58298, 50989, 71452, 79021, 50880, 51957, 52590, 51373, 63711, 66460, 51971, 50901, 54206, 51167, 50989, 51167, 50965, 51167, 50906, 51167, 51374, 51573, 55148, 56937, 50866, 64149, 64580, 52678, 51945, 51039, 63711, 57559, 53389, 59204, 63306, 54053, 51374, 50930, 53181, 51650, 52854, 63711, 54728, 50997, 75340, 50980, 65814, 54457, 51009, 53541, 50991, 64149, 50836, 51180, 63711, 57291, 52033, 58647, 63306, 54647, 51743, 51650, 51373, 63711, 50904, 57346, 50910, 50916, 50940, 50989, 50952, 50973, 50921, 51279, 54484, 51844, 51552, 52033, 53520, 52332, 51492, 52414, 73086, 50878, 64149, 50836, 51039, 63711, 57559, 51971, 53244, 63306, 64855, 52678, 60133, 52678, 53627, 68134, 63282, 61783, 51374, 51059, 53510, 51084, 64248, 51971, 56057, 52678, 50808, 64149, 63954, 52678, 50925, 51180, 63711, 63319, 51971, 55620, 50916, 70716, 52236, 50315, 50821, 51844, 50930, 63306, 67323, 52678, 54454, 50456, 51374, 52590, 51373, 63711, 50904, 57346, 51274, 50965, 51285, 51844, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 50880, 53782, 52854, 63711, 54728, 51147, 50880, 64149, 56442, 50999, 51820, 51147, 51508, 63711, 57291, 50968, 53484, 50973 ]
[ 0, 250, 15855, 30062, 620, 7085, 2125, 14, 115, 1807, 25, 10, 5386, 8, 9066, 19834, 13, 10, 822, 4, 20, 6755, 12547, 6, 20535, 2810, 6, 8, 2352, 6757, 1045, 10, 2821, 118, 3876, 2369, 6, 150, 5, 326, 5638, 18026, 8, 30062, 620, 7085, 12280, 642, 1606, 5581, 8, 18632, 4, 20, 2635, 1614, 1073, 1020, 20889, 8, 5, 25935, 1258, 227, 163, 538, 8, 12608, 3694, 40286, 5042, 7, 5, 25306, 8, 28339, 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 ]	[ 57528, 56173, 53801, 67792, 56308, 50437, 55870, 56374, 73293, 59170, 50451, 53266, 52011, 56049, 52397, 56355, 51947, 52727, 53266, 55275, 52338, 52988, 50462, 53175, 60237, 56117, 61653, 50463, 56173, 64971, 56355, 55780, 54373, 50438, 56173, 53801, 67792, 56308, 50461, 55870, 56374, 73293, 59170, 50799, 53266, 52011, 56049, 52397, 50426, 51947, 65527, 65166, 51330, 52338, 62321, 50438, 74488, 51466, 50451, 58048, 52011, 50799, 55244, 53280, 52776, 53280, 58997, 52782, 50415, 56620, 51447, 50420, 58749, 52782, 50426, 55076, 52782, 50432, 55906, 52782, 50437, 63533, 53486, 50438, 62276, 52140, 55780, 52140, 58997, 52782, 50444, 58749, 52782, 50450, 53175, 52147, 55076, 52782, 56117, 51703, 50456, 55906, 52782, 50799, 58997, 52782, 50420, 58749, 52782, 50426, 56173, 52378, 54576, 51637, 52830, 51484, 50699, 50272, 53201, 55780, 52829, 52830, 52829, 55076, 52782, 67792, 51576, 50427, 65620, 51318, 50432, 55906, 52782, 50438, 55870, 52378, 53148, 51484, 58997, 52782, 73293, 51576, 50444, 58749, 52782, 50450, 53266, 52378, 51699, 51484, 55076, 52782, 56049, 51576, 50456, 55906, 52782, 50799, 52384, 52188, 51301, 51484, 51299, 52062, 51789, 51576, 65166, 52378, 65166, 55856, 58997, 52782, 53064, 51484, 50415, 67544, 55856, 50420, 58749, 52782, 50426, 52698, 52188, 51491, 51484, 52083, 51576, 74488, 52378, 55076, 52782, 53780, 51484, 50432, 55906, 52782, 50438, 51866, 52188, 51088, 51484, 51565, 51576, 58048, 52378, 58997, 52782, 51946, 51484, 50444, 58749, 52782, 50450, 52194, 55844, 51093, 51243, 51673, 54249, 56620, 51748, 55076, 52782, 51836, 53233, 50456, 55906, 52782, 50799, 58997, 52731, 53647, 61784, 58749, 52731, 55554, 57104, 65620, 51244, 54576, 51244, 55076, 52731, 50798, 51775, 53039, 57018, 55906, 52731, 53260, 56480, 58997, 52731, 53647, 58867, 58749, 52731, 55554, 57299, 55076, 52731, 53039, 59781, 55906, 52731, 53260, 51006, 50799, 53084, 51662, 52830, 51377, 51301, 51377, 51357, 51518, 73294, 56599, 63533, 52519, 58997, 52731, 53647, 51006, 53339, 51692, 50420, 58749, 52731, 55554, 57104, 53148, 51377, 51491, 51377, 55076, 52731, 53039, 57018, 55906, 52731, 53260, 56480, 50708, 50284, 51025, 56173, 51025, 51699, 51162, 51088, 51162, 58997, 52731, 53647, 58867, 58749, 52731, 55554, 57299, 71197, 51047, 55870, 51047, 51299, 51413, 51093, 51413, 55076, 52731, 53039, 59781, 55906, 52731, 53260, 51006, 51528, 51480, 50426, 59160, 51025, 53266, 51025, 52065, 51446, 51357, 51446, 50438, 54864, 51422, 51947, 51422, 51093, 51291, 51304, 51291, 62005, 51486, 52338, 51486, 73877, 51036, 51558, 61899, 50623, 58837, 51790, 53175, 51790, 51304, 51364, 53506, 67777, 51112, 50711, 50291, 51591, 56117, 80179, 50622, 50798, 68390, 50621, 53572, 50943, 53084, 50914, 54294, 70234, 51112, 58375, 55870, 51692, 52701, 51692, 52698, 51692, 54006, 53601, 55495, 53601, 52698, 53601, 63934, 51227, 55472, 53601, 53148, 53601, 51794, 53601, 51491, 53601, 51488, 53601, 51394, 53601, 53089, 53601, 51488, 52149, 51600, 52149, 51905, 52149, 50770, 50285, 53601, 79817, 53601, 50770, 50297, 53601, 59440, 51486, 53444, 51486, 52089, 51486, 52170, 52149, 52075, 52149, 53755, 52149, 50798, 51227, 50670, 50274, 53601, 50670, 50286, 53601, 50799, 63934, 50948, 59440, 52972, 50948, 50418, 53444, 52871, 63934, 57603, 50948, 50422, 52089, 52710, 59440, 60313, 53444, 59662, 52089, 52841, 59440, 63773, 53444, 61094, 52089, 52848, 59440, 59464, 53444, 62371, 52089, 50812, 50799, 59440, 52972, 51480, 50418, 53444, 59432, 52089, 52710, 59440, 60313, 53444, 59662, 52089, 52841, 59440, 63773, 53444, 61094, 52089, 52848, 59440, 59464, 53444, 62371, 52089, 50812, 63515, 59440, 53497, 50371, 52054, 57392, 51206, 66834, 76965, 51206, 58593, 51206, 66834, 66478, 53444, 61531, 54839, 50371, 52054, 62503, 51206, 53405, 51206, 66834, 60156, 51206, 58115, 52089, 61531, 54839, 50371, 52054, 53991, 51206, 66834, 59825, 51206, 60931, 51206, 66834, 52917, 51906, 50810, 52425, 50844, 52578, 50844, 59440, 61531, 54839, 50371, 52054, 59619, 51206, 66834, 65368, 51206, 56609, 51206, 66834, 61938, 51906, 50854, 52425, 50844, 52578, 50822, 53444, 61531, 54839, 50371, 52054, 61193, 51206, 53196, 51206, 66834, 60050, 51206, 58662, 51906, 50854, 52425, 50844, 52578, 50810, 52089, 61531, 54839, 50371, 52054, 54483, 51206, 66834, 59131, 51206, 57667, 51206, 66834, 53018, 51906, 50810, 52425, 50844, 52578, 50844, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 57477, 51206, 66834, 69864, 51206, 56755, 51206, 66834, 60795, 51906, 50854, 52425, 50844, 52578, 50822, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 63938, 51206, 53325, 51206, 66834, 60479, 51206, 58394, 51906, 50854, 52425, 50844, 52578, 50810, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 54673, 51206, 66834, 61333, 51206, 57989, 51206, 66834, 52805, 51906, 50810, 52425, 50844, 52578, 50844, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 57905, 51206, 56561, 65674, 51206, 54944, 51206, 56561, 61807, 51906, 50854, 52425, 50844, 52578, 50822, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 50917, 55495, 50917, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 53479, 50371, 52054, 60715, 51206, 53563, 51206, 56561, 63554, 51206, 61765, 51906, 50854, 52425, 50844, 52578, 50810, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 50812, 55495, 50812, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 53479, 50371, 52054, 56046, 51206, 56561, 65493, 51206, 50883, 50799, 56173, 51162, 53175, 51162, 52384, 51162, 54576, 51346, 51301, 50978, 51301, 50917, 51357, 50866, 51357, 50865, 51301, 51337, 51301, 51110, 52830, 51162, 52065, 51775, 52065, 51400, 52065, 51162, 51301, 68215, 50384, 55550, 50384, 53692, 55180, 51357, 50857, 51357, 50840, 51301, 50933, 51301, 59756, 53467, 63641, 51301, 50836, 51357, 50813, 51357, 52467, 53548, 56173, 50917, 54576, 51346, 55780, 66110, 50978, 51301, 50917, 51357, 50866, 51357, 50865, 52065, 51484, 52065, 51025, 51301, 51775, 51301, 51400, 50816, 67757, 52830, 59662, 55780, 52841, 56173, 50917, 54576, 51346, 52830, 50812, 52065, 50827, 52065, 50854, 73014, 51301, 50833, 51357, 50827, 51357, 50854, 52065, 51277, 52065, 51177, 51301, 51328, 51301, 73135, 50821, 50442, 55780, 50812, 51357, 50822, 51357, 50833, 52065, 50974, 52065, 50901, 51301, 50974, 51301, 56369, 60886, 52830, 50812, 52065, 50874, 52065, 50854, 51301, 50874, 51301, 50854, 51357, 50822, 51357, 55579, 51757, 56173, 50917, 54576, 51112, 55780, 50812, 52065, 50874, 52065, 50854, 51301, 50874, 51301, 50854, 51357, 50822, 51357, 50812, 52065, 51328, 52065, 51177, 51301, 51277, 51301, 70232, 62603, 52830, 50812, 51357, 50822, 51357, 50833 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 1619, 2214, 19, 3495, 16882, 6, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 13305, 6, 6755, 12547, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 38451, 3938, 20889, 9, 8060, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 230, 8, 272, 73, 250, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 6, 2351, 41, 5466, 9, 11098, 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 ]	[ 57530, 50796, 53028, 55229, 56270, 56890, 51471, 57530, 51181, 50995, 51282, 51283, 51083, 51283, 51268, 51679, 50798, 52493, 60008, 52291, 50818, 60601, 51151, 51171, 51364, 50946, 51294, 50848, 51204, 50944, 51091, 51007, 51091, 56952, 54579, 65422, 51694, 51239, 53127, 52209, 51181, 51448, 51282, 52263, 51083, 51878, 51268, 51878, 52902, 55911, 51171, 51336, 50946, 51358, 50848, 51358, 50944, 51358, 51007, 51896, 58455, 50829, 51570, 53127, 68619, 52079, 55888, 50920, 50825, 51955, 52538, 51179, 53078, 53127, 53685, 51181, 50857, 51282, 50904, 51083, 50941, 51268, 51833, 52532, 53963, 50818, 51171, 50818, 51621, 52703, 53889, 53995, 50835, 53447, 51391, 51282, 51679, 51083, 51679, 51268, 51961, 50913, 54739, 51044, 55911, 76862, 51151, 51171, 51091, 50946, 51294, 50885, 51204, 50944, 50889, 68456, 51039, 53963, 54579, 50920, 50825, 51694, 52079, 51179, 52209, 51181, 51803, 51282, 52168, 51083, 52168, 51268, 52168, 50913, 54739, 51179, 55911, 51171, 51896, 50946, 51358, 50885, 51623, 50944, 50918, 50909, 51358, 58455, 50829, 51570, 73518, 52210, 50913, 51464, 75224, 52523, 53641, 50920, 50825, 51955, 52538, 69681, 54147, 52300, 52079, 53685, 51289, 52300, 53963, 53902, 50920, 50825, 57530, 51137, 50981, 51595, 51679, 51083, 51679, 51020, 51961, 50798, 52493, 52499, 50884, 61042, 53753, 51171, 51091, 50988, 51204, 51042, 51091, 50848, 51091, 50847, 51294, 50935, 51204, 56952, 55795, 65422, 51694, 51239, 52079, 52209, 51137, 51397, 51595, 51447, 51083, 51080, 51020, 51314, 52358, 52079, 50846, 51171, 51472, 50988, 51623, 51042, 51623, 50848, 50918, 50847, 50918, 50935, 51623, 58455, 52742, 50852, 52523, 53239, 50920, 55888, 50920, 50829, 51955, 53683, 51044, 53078, 52079, 53685, 51181, 55805, 50875, 52079, 50846, 51171, 57661, 61305, 53889, 53495, 50835, 53053, 51391, 51595, 51381, 51083, 51961, 51020, 51381, 50913, 54739, 51179, 52079, 50884, 51171, 51294, 50988, 51204, 51042, 51294, 50848, 51294, 79167, 50935, 51091, 51039, 53963, 53423, 50920, 50825, 51694, 53963, 51239, 53230, 51137, 51145, 51020, 51447, 51595, 51447, 51083, 51080, 50913, 76380, 53963, 77636, 51358, 51042, 50918, 50848, 51077, 50847, 50918, 50935, 50918, 58455, 50829, 51570, 53078, 52079, 52210, 50913, 55033, 65279, 52291, 55354, 65422, 51955, 63822, 69681, 52300, 52079, 52349, 51289, 52300, 52493, 53995, 50884, 51171, 56249, 65422, 53053, 51134, 51595, 51961, 51083, 51679, 51020, 51679, 67370, 52523, 50884, 66840, 53487, 50988, 51091, 51042, 51294, 50848, 51294, 79167, 50935, 51204, 51007, 51091, 56952, 55795, 50920, 50829, 51694, 51239, 53963, 52927, 51137, 51145, 51595, 52168, 51020, 51680, 51083, 51680, 52358, 53963, 50846, 50988, 51358, 51042, 51358, 50848, 51896, 50847, 51896, 50935, 51358, 51007, 51358, 58455, 50825, 51570, 52079, 63247, 52079, 55354, 50920, 52743, 50627, 50903, 52538, 51179, 73518, 52349, 51181, 50844, 63449, 55911, 51621, 52703, 53889, 53995, 50835, 53053, 51134, 51595, 51381, 51083, 51679, 51020, 51381, 50913, 76380, 53127, 50884, 50988, 51091, 51042, 51294, 50848, 51091, 50847, 51294, 50935, 51091, 51007, 51091, 51039, 53963, 54579, 65422, 51694, 52079, 51179, 52209, 51137, 51047, 51020, 51314, 51083, 51314, 51595, 51314, 50913, 53871, 51044, 53127, 50884, 50988, 50918, 51042, 51291, 50848, 51336, 50847, 50918, 50935, 51336, 51007, 51336, 58455, 50829, 51570, 53078, 52079, 52210, 50913, 51464, 63209, 52523, 53641, 65422, 51955, 53683, 65163, 55569, 52373, 53963, 53173, 51289, 52300, 53127, 50818, 51791, 53848, 50920, 50825, 54281, 51310, 51595, 51679, 51089, 51679, 51020, 66673, 52493, 52523, 50818, 62325, 51151, 50731, 50339, 51293, 50868, 51294, 50935, 51294, 51042, 51091, 79167, 50988, 51294, 56952, 55795, 65422, 51694, 51044, 53127, 53230, 51374, 51397, 51595, 51447, 51089, 51314, 51020, 51314, 52902, 53963, 77636, 51294, 51042, 51141, 50868, 51141, 50847, 51364, 50935, 51364, 58455, 52621, 50852, 52523, 53239, 50920, 53641, 50920, 52743, 50627, 50903, 52538, 51179, 52245, 53963, 77636, 51048, 51042, 51048, 50935, 51073, 79493, 50847, 51345, 51149, 51073, 50456, 51374, 50955, 56527, 52079, 56419, 56527, 53396, 53107, 50835, 53447, 51419, 51282, 51637, 51083, 51965, 51268, 51637, 50913, 54739, 51044, 53963, 50846, 61042, 51293, 76862, 51151, 50946, 51204, 50848, 51091, 50944, 51091, 71302, 51007, 51364, 51039, 52079, 55795, 50920, 50825, 51694, 53963, 51239, 52209, 51181, 51803, 51282, 52783, 51083, 51080, 51268, 51080, 50913, 54739, 51044, 53963, 63538, 50918, 50946, 50918, 50848, 71365, 51336, 51007, 50918, 58455, 50825, 51570, 53078, 53127, 53806, 50913, 55033, 65279, 52499, 53641, 50920, 50825, 51955, 63822, 69681, 52694, 53127, 53685, 51289, 52694, 53347, 53995, 50818, 51688, 57264, 65422, 66821, 51381, 51083, 51679, 51268, 51679, 51023, 50932, 67370, 61819, 52499, 50818, 51171, 51091, 50946, 50983, 50944, 51294, 77832, 51007, 51204, 50848, 51294, 50420, 51067, 50924, 50920, 53423, 50920, 52712, 51292, 50938, 55901, 53127, 52209, 51786, 50924, 51282, 51314, 51083, 51447, 51268, 51680, 51023, 51314, 52358, 52079, 50884, 50946, 51336, 50848, 50918, 50944, 71365, 51077, 51007, 51336, 51171, 50918, 58455, 52742, 51292, 51157, 69889, 63247, 52079, 53641, 50920, 52802, 50627, 51292, 51215, 50903, 63822, 52245, 53127, 53685, 56527, 53127, 50884, 51621, 52703, 53889, 53107, 50829, 50799, 51078, 61538, 51961, 51268, 51961, 51282, 51381, 51023, 51381, 50913, 53871, 51044, 55911, 50946, 51294, 50944, 51091, 51171, 51091, 50848, 51294, 50850, 51294, 51007, 51091, 51039, 53963, 55795, 50920, 52641, 50947, 51204, 50816, 53127, 51179, 53230, 51083, 51314, 51282, 51080, 51268, 51080, 51023, 51080, 50913, 53871, 51044, 53127, 65810, 51896, 50944, 51358, 50850, 51358, 51007, 51896, 51171, 51896, 50946, 51358, 58455, 50835, 51570, 53078, 53963, 53806, 50913, 51464, 75224, 52291, 53641, 50920, 50829, 51955, 53683, 69681, 54147, 52373, 52079, 52349, 51289, 52300, 53963, 56419, 50920, 50829, 66821, 51381, 51083, 51961, 51268, 51961, 67370, 52523, 50884, 51171, 51091, 50946, 51364, 50848, 51364, 50944, 51364, 77832, 51007, 66128, 51067, 79074, 55795, 50920, 52641, 51292, 52108, 51239, 52079, 52927, 51786, 50879, 51282, 51961, 51083, 51961, 51268, 51679, 52902, 53963, 50884, 51171, 51336, 50946, 51336, 50848, 50918, 50944, 51336, 50850, 51336, 51007, 50918, 58455, 52742, 51292, 51073, 50852, 52499, 52210, 50920, 53641, 50920, 52743, 50627, 51292, 51073, 51083, 52188, 51268, 52188, 51023, 51576, 50903, 53404, 51044, 53078, 55911, 51453, 52703, 53963, 53902, 56527, 53396, 53995, 50829, 60938, 51336, 51401, 51381, 51595, 51961, 51089, 51679, 51020, 51961, 50913, 54739, 51239, 53963, 50818, 51042, 51091, 79167, 50935, 51294, 51149, 51091, 51217, 51294, 50868, 51294, 51039, 53963, 54579, 65422, 51694, 52079, 51179, 52209, 51401, 51447, 51595, 51080, 51089, 51080, 51020, 51080, 50913, 54739, 51179, 52079, 50884, 51042, 51336, 50868, 51336, 50847, 50918, 50935, 50918, 51149, 51336, 58455, 50825, 51570, 52245, 53963, 53806, 50913, 54539, 65279, 52291, 55888, 65422, 51955, 53404, 51044, 59765, 52373, 53127, 53173, 51289, 52373, 53934, 53495, 56419, 65422, 50799, 51595, 51637, 51089, 51283, 51020, 51283, 67370, 52523, 50846, 51217, 51364, 50935, 51364, 51149 ]
[ 0, 4688, 20425, 5175, 3836, 1349, 4246, 10, 38668, 483, 6, 31391, 1672, 9590, 6, 1855, 4822, 254, 483, 6, 228, 438, 4781, 2088, 6757, 6, 8, 21072, 6, 42, 15352, 30054, 15229, 16, 278, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 21234, 163, 5683, 6, 2351, 10, 11299, 8, 3366, 219, 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, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50796, 50436, 50770, 50287, 51585, 50438, 50769, 50332, 51685, 50450, 51850, 50812, 52235, 57313, 51850, 50812, 52235, 50812, 50799, 51850, 50812, 53016, 50812, 52412, 50800, 50665, 50311, 50950, 50776, 50288, 51352, 50776, 50309, 79213, 50853, 50617, 53403, 52117, 52296, 51850, 50812, 53016, 52710, 52452, 72986, 52412, 54773, 67823, 53247, 52117, 51757, 52452, 51754, 52696, 50859, 50799, 52412, 50800, 50665, 50309, 51835, 52117, 51620, 52452, 57907, 52412, 60835, 52117, 51757, 51850, 50812, 52235, 50812, 52452, 51754, 51850, 50836, 52235, 50812, 52174, 50952, 50799, 51850, 50812, 53016, 50812, 52276, 50800, 50665, 50311, 58609, 52696, 58218, 51850, 50812, 53016, 52710, 52452, 62803, 52276, 54630, 52696, 54721, 52452, 51754, 52117, 57614, 53727, 51100, 50799, 52412, 50859, 66509, 55446, 52696, 57257, 53085, 64131, 52452, 72068, 52235, 59662, 51992, 56788, 52412, 54773, 51850, 51110, 66346, 55920, 52696, 58710, 51850, 50840, 52235, 50812, 52452, 51754, 51850, 50836, 52235, 50812, 52174, 50830, 50799, 51850, 50812, 53016, 50812, 52412, 50800, 50665, 50311, 50962, 50776, 50288, 51352, 50776, 50309, 79213, 50853, 50617, 53403, 52117, 52296, 51850, 50812, 53016, 52710, 52452, 72986, 52412, 54773, 67823, 55920, 52117, 51757, 52452, 51754, 52696, 50859, 50799, 52412, 50800, 50665, 50309, 52628, 52117, 51620, 52452, 57907, 52412, 60835, 52117, 51757, 53016, 50897, 52452, 51754, 51992, 50812, 52174, 50952, 50799, 53085, 50917, 52276, 50800, 50665, 50311, 57242, 52696, 58218, 53016, 53466, 52452, 54725, 53085, 51100, 50435, 52276, 67007, 53016, 53969, 52696, 54721, 53085, 50849, 52452, 51754, 52117, 52567, 53016, 50849, 50799, 52412, 50859, 66509, 53113, 53085, 51100, 52696, 51620, 52452, 63395, 53016, 71148, 52412, 54773, 53085, 50849, 66346, 57736, 52696, 50952, 50447, 53016, 65114, 52452, 51754, 52174, 50830, 53053, 50800, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 52218, 67417, 50384, 53967, 50835, 54379, 50932, 53853, 52727, 52789, 52727, 51921, 50829, 54379, 56123, 53853, 53700, 52789, 53700, 50420, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51872, 50835, 72946, 54311, 51215, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 50924, 58144, 51539, 52270, 50384, 53967, 50820, 77610, 50852, 51877, 54606, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 54054, 52742, 50734, 50275, 50864, 50734, 50287, 63464, 67417, 71460, 50835, 55288, 51775, 50441, 51137, 50887, 50734, 50275, 50825, 50734, 50287, 52497, 50837, 55288, 61211, 50444, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51877, 54028, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 59105, 53003, 54311, 50859, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 52218, 52050, 51539, 51872, 50384, 53967, 53922, 50734, 50275, 50864, 50734, 50287, 59105, 52920, 54311, 50859, 52696, 55879, 51872, 54794, 50734, 50275, 50864, 50734, 50287, 59105, 50834, 53053, 50887, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 52218, 67417, 50384, 53967, 50835, 53853, 50841, 52789, 50846, 54775, 50967, 51921, 50829, 53853, 50908, 52789, 50863, 54775, 51797, 50420, 51137, 50887, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51872, 50835, 72946, 54311, 51158, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 55236, 52050, 51539, 52270, 50384, 53967, 50820, 53853, 50839, 52789, 50862, 54775, 50855, 51999, 50825, 53853, 50908, 53853, 50886, 52789, 51126, 52789, 50855, 54775, 51126, 54775, 54215, 50852, 51877, 50834, 53853, 51851, 52789, 51000, 54775, 66129, 51137, 50887, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 62341, 50825, 53853, 50855, 52789, 50855, 54775, 53894, 50734, 50275, 50864, 50734, 50287, 63464, 67417, 71460, 50835, 53853, 51126, 52789, 51126, 54775, 74593, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 59105, 50837, 53853, 50836, 52789, 50836, 54775, 54840, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51877, 50820, 53853, 50971, 52789, 50971, 54775, 66701, 51137, 50840, 50734, 50275, 50864, 50734, 50287, 59105, 50870, 53853, 50820, 52789, 50813, 54775, 53886, 54311, 50800, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 52218, 52050, 51539, 51872, 50384, 53967, 50820, 53853, 50928, 53853, 50836, 52789, 51128, 52789, 50836, 54775, 50971, 54775, 58629, 50734, 50275, 50864, 50734, 50287, 59105, 50834, 53853, 50971, 53853, 50941, 52789, 51000, 52789, 50971, 54775, 50904, 54775, 54232, 54311, 50859, 52174, 58474, 51872, 50829, 53853, 54060, 52789, 55003, 54775, 52514, 50459, 50734, 50275, 50864, 50734, 50287, 59105, 50834, 54983, 50809, 50734, 50278, 50864, 50734, 50290, 51126, 52276, 52218, 67417, 50384, 53967, 50835, 53853, 50821, 52789, 50800, 54379, 50859, 51921, 50829, 53853, 50874, 52789, 50851, 54379, 53004, 51526, 50800, 50734, 50278, 50864, 50734, 50290, 51126, 52696, 55220, 51872, 50835, 53853, 50800, 52789, 50859, 54379, 50800, 52111, 50863, 53853, 50851, 52789, 50827, 54379, 53220, 51727, 51060, 50734, 50278, 50864, 50734, 50290, 51126, 52452, 55955, 52050, 51539, 52270, 50384, 53967, 50820, 53853, 50865, 52789, 50924, 54379, 50948, 51999, 50825, 53853, 51174, 52789, 51006, 54379, 62050, 50852, 51877, 54606, 51526, 50809, 50734, 50278, 50864, 50734, 50290, 51126, 52276, 57005, 52742, 50734, 50278, 50864, 50734, 50290, 63464, 67417, 71460, 50835, 53853, 50863, 52789, 50837, 54379, 54905, 51526, 50887, 50734, 50278, 50864, 50734, 50290, 59105, 50837, 53853, 51693, 52789, 51306, 54379, 51258, 53853, 50904, 52789, 51000, 54379, 55368, 50734, 50278, 50864, 50734, 50290, 51126, 52696, 55879, 51877, 50820, 53853, 52514, 52789, 55003, 54379, 52514, 50447, 51526, 50809, 50734, 50278, 50864, 50734, 50290, 59105, 50870, 53853, 50982, 54379, 52805, 51727, 50859, 50734, 50278, 50864, 50734, 50290, 51126, 52452, 52218, 52050, 51539, 51872, 50384, 53967, 50820, 53853, 52231, 54379, 51693, 53853, 50886, 52789, 50813, 54379, 57186, 50734, 50278, 50864, 50734, 50290, 59105, 50834, 53853, 52134, 52789, 51297, 54379, 69249, 51727, 50859, 52117, 52227, 51872, 50829, 53853, 50857, 52789, 50813, 54379, 57023, 50734, 50278, 50864, 50734, 50290, 59105, 50834, 53853, 51297, 52789, 51297, 54379, 51126, 54920, 50800, 50734, 50280, 50864, 50734, 50292, 51126, 52412, 53841, 67417, 50384, 53967, 50835, 53676, 50880, 54379, 50887, 59785, 50809, 51921, 50829, 53676, 50886, 54379, 50864, 59785, 55772, 51416, 50800, 50734, 50280, 50864, 50734, 50292, 51126, 52696, 52227, 51872, 50835, 53676, 50800, 54379, 50808, 59785, 50858, 52111, 50863, 53676, 50851, 54379, 50912, 59785, 53881, 51338, 50879, 50734, 50280, 50864, 50734, 50292, 51126, 52452, 55236, 52050, 51539, 52270, 50384, 53967, 50820, 54379, 51079, 53676, 51277, 59785, 51277, 51999, 50825, 54379, 53306, 53676, 60150, 59785, 58961, 50432, 50852, 51877, 54606, 51416, 50809, 50734, 50280, 50864, 50734, 50292, 51126, 52412, 54054, 52742, 50734, 50280, 50864, 50734, 50292, 63464, 67417, 71460, 50835, 53676, 50928, 54379, 50870, 59785, 61577, 51416, 50859, 50734, 50280, 50825, 50734, 50292, 52497, 50837, 53676, 52231, 54379, 52445, 59785, 52231, 53676, 50941, 54379, 50864, 59785, 55434, 50734, 50280, 50864, 50734, 50292, 51126, 52696, 58474, 51877, 50820, 53676, 54060, 54379 ]
[ 0, 250, 20902, 3152, 8, 3495, 24904, 2214, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 7219, 29589, 6, 258, 2382, 8, 30587, 6, 483, 5, 169, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 4, 20, 6755, 12547, 3639, 41, 1823, 10490, 9, 38857, 7, 5, 2369, 4, 8504, 11, 5, 762, 9, 211, 3694, 19, 10, 1769, 20889, 9, 23902, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50415, 50636, 75695, 51322, 51006, 51209, 50977, 51408, 50924, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 51237, 56965, 50839, 51083, 51175, 51020, 51603, 51193, 51454, 75060, 58400, 56512, 52000, 51277, 51401, 53505, 51830, 51370, 51129, 50436, 51322, 50921, 51322, 50977, 51083, 56360, 51209, 50859, 51209, 64753, 62281, 51408, 50817, 51408, 50817, 51193, 70487, 53215, 57000, 55294, 50895, 51322, 51254, 51322, 50917, 51209, 50987, 51209, 50865, 51408, 50917, 51408, 50795, 56965, 50835, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51322, 50893, 55294, 51745, 51408, 51183, 51322, 51447, 51209, 51145, 56965, 50839, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 58892, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51258, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 56493, 55294, 50895, 51322, 50937, 51209, 50948, 51408, 50948, 56965, 50835, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 50428, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 56720, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51258, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 64707, 53215, 57000, 55294, 50883, 51322, 50812, 69787, 51408, 50800, 56965, 50829, 51083, 68054, 71637, 52513, 50801, 56502, 64125, 51256, 50860, 51256, 50860, 51229, 50860, 54941, 50802, 51451, 50923, 62747, 50841, 51061, 51021, 51023, 51021, 51118, 50893, 52455, 58892, 51229, 50828, 51322, 50811, 56352, 51014, 67059, 77356, 63218, 62194, 56249, 51451, 50828, 51256, 53708, 50837, 51601, 51256, 51045, 50416, 51451, 51021, 51256, 50860, 51229, 50860, 54941, 50976, 62747, 70171, 51021, 51061, 50860, 51023, 50860, 52093, 53215, 58158, 51322, 61135, 51451, 50841, 51256, 50895, 51229, 50890, 51118, 50833, 51061, 72799, 55884, 50852, 58245, 51209, 51184, 50428, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 51237, 56965, 50839, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 50367, 51367, 50363, 51202, 56512, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50890, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50835, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51322, 50893, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 57461, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51129, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 56493, 55294, 50884, 51322, 50937, 51209, 50948, 51408, 50948, 56965, 50825, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 50428, 51830, 50795, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 56720, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51258, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50887, 51322, 50917, 51209, 50865, 51408, 50865, 56965, 50825, 72320, 51020, 50865, 51193, 53658, 51830, 58493, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51830, 50795, 51322, 50893, 55294, 51066, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 57461, 51408, 50917, 51322, 64260, 50865, 51020, 50865, 51193, 64959, 51830, 50878, 51322, 50917, 51209, 57383, 50835, 51809, 51830, 50895, 51322, 50949, 51209, 50817, 51408, 50817, 54941, 51012, 51256, 50893, 62747, 50839, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 56493, 51830, 50865, 51322, 50937, 51209, 50948, 51408, 50948, 56352, 50923, 51209, 51352, 67059, 50820, 72755, 51020, 50948, 51193, 50948, 61640, 56502, 68564, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 58278, 50361, 51202, 56512, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50930, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50834, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51322, 50893, 55294, 51059, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 57461, 51322, 50936, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51258, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 64707, 53215, 56493, 55294, 50883, 51322, 50937, 51209, 50948, 51408, 50948, 51209, 52195, 56965, 50829, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 50428, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 51059, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 56720, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50883, 51209, 51010, 51322, 50812, 69787, 51408, 50800, 56965, 50829, 51083, 68054, 71637, 52513, 50801, 52465, 51306, 50449, 51408, 51014, 50452, 51390, 50940, 54941, 50860, 51256, 50860, 51229, 50860, 51451, 50923, 62747, 50841, 51061, 51021, 51023, 51021, 51118, 50893, 52455, 58892, 51229, 50828, 56352, 51014, 67059, 77356, 63218, 62194, 56249, 51451, 50828, 51256, 53708, 56772, 51893, 50802, 51809, 51451, 51021, 51256, 50860, 51229, 50860, 54941, 50976, 62747, 70171, 51021, 51061, 50860, 51023, 50860, 52093, 53215, 56493, 51451, 50841, 51256, 50895, 51229, 50890, 51390, 50923, 51118, 50833, 51061, 72799, 55884, 50852, 70573, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 51408, 51745, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 53237, 67152, 51258, 50434, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50883, 51408, 50949, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50829, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51229, 50860, 51408, 51021, 51322, 50893, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 59169, 51408, 50911, 50458, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51258, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 61038, 51083, 50949, 51020, 50817, 51193, 51759, 50825, 53215, 56493, 55294, 50890, 51322, 50937, 51209, 50948, 51408, 50948, 51209, 51352, 56965, 50835, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 53215, 59045, 53215, 68564, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 50825, 53215, 58608, 71830, 51020, 50865, 51193, 62803, 51830, 50795, 53215, 59990, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 51695, 50825, 53215, 60862, 53215, 55685, 55294, 50890, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50835, 72320, 51020, 50865 ]
[ 0, 713, 14899, 3495, 2214, 6, 30291, 19, 5175, 4785, 6, 22750, 1626, 11098, 8, 10, 2365, 6, 1619, 16464, 4, 20, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 1305, 5, 33301, 556, 6, 25, 5, 6755, 12547, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 20535, 2810, 6, 21979, 8669, 6, 8, 21072, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2125, 1575, 10, 16331, 33215, 16739, 9, 211, 119, 406, 6, 272, 406, 6, 8, 230, 6, 1271, 7, 63, 33200, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50450, 51683, 51235, 51913, 77587, 53875, 52425, 51100, 54820, 51004, 58470, 61969, 64852, 50799, 51906, 50930, 51648, 52218, 50898, 53498, 56198, 53246, 50828, 50953, 51215, 52495, 51145, 52239, 51677, 52681, 51452, 58816, 50872, 68970, 50825, 51165, 51933, 51402, 52922, 50820, 58816, 50872, 68970, 52944, 51648, 50887, 51713, 50836, 65683, 53246, 54104, 51906, 50840, 51648, 51420, 56128, 53246, 50837, 58816, 50872, 68970, 53272, 56331, 59719, 53246, 50828, 50964, 51215, 58816, 59228, 50939, 54974, 51648, 50840, 51713, 55316, 53589, 53246, 50820, 58816, 59228, 50939, 50825, 51361, 56494, 53246, 54288, 51906, 50887, 51648, 50880, 70707, 53246, 63570, 50825, 59228, 50939, 53945, 51479, 56459, 53246, 50828, 50953, 51215, 53022, 51412, 51572, 53589, 53246, 50820, 69091, 50868, 61483, 75164, 54274, 50829, 51618, 56128, 53246, 50837, 51037, 62294, 61483, 52743, 51963, 51100, 51683, 68138, 51928, 60512, 53246, 50828, 50964, 51215, 52681, 51480, 52822, 51412, 53022, 51203, 69091, 63246, 60697, 51088, 50901, 51647, 53589, 53246, 50820, 69091, 50868, 61483, 53217, 52489, 51178, 52425, 51043, 51441, 51117, 53246, 50829, 69091, 63246, 50992, 50825, 51375, 63007, 70707, 53246, 50837, 51037, 62294, 50864, 50992, 50825, 50799, 51913, 50836, 51648, 53345, 50898, 56459, 53246, 50828, 50945, 51215, 52822, 53486, 52495, 51675, 52248, 51790, 52706, 51803, 62374, 59228, 50850, 50825, 51113, 51933, 51402, 52922, 50820, 62374, 50872, 62703, 52944, 51683, 50836, 51713, 50855, 65683, 53246, 54104, 51913, 50857, 51648, 50836, 75507, 53246, 65622, 50825, 59228, 50850, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 62374, 59228, 50850, 54974, 51683, 50809, 51713, 52675, 53589, 53246, 50820, 62374, 50872, 62703, 50825, 51361, 56494, 53246, 54288, 51913, 50840, 51648, 50890, 70707, 53246, 65622, 67861, 62703, 52742, 51479, 56459, 53246, 50828, 50945, 51215, 51572, 53589, 53246, 50820, 62374, 50872, 62703, 75164, 54274, 50829, 51618, 56128, 53246, 65622, 67861, 62703, 52743, 51683, 51175, 51913, 59250, 51928, 60512, 53246, 50828, 50964, 51215, 52706, 51172, 52495, 51412, 52248, 51363, 52822, 52460, 74311, 58816, 50872, 50825, 51647, 53589, 53246, 73615, 61215, 67861, 53217, 52425, 51194, 51441, 51117, 53246, 66352, 61215, 67861, 54026, 70707, 53246, 50837, 50946, 61215, 67861, 50825, 50799, 51906, 50840, 51648, 53530, 50898, 56459, 53246, 50828, 50953, 51215, 52706, 51749, 52495, 51448, 52681, 51535, 52239, 51749, 50848, 67861, 68970, 50825, 51165, 51077, 51402, 52922, 61585, 67861, 68970, 52944, 51648, 50809, 51713, 50855, 65683, 53246, 54104, 51906, 50836, 51648, 50840, 75507, 53246, 63570, 50825, 59228, 50939, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 58816, 50872, 68970, 54974, 51648, 50855, 51713, 52304, 53589, 53246, 50820, 58816, 50872, 68970, 50864, 51361, 56494, 53246, 54288, 51713, 51603, 52002, 51112, 70707, 53246, 63570, 50825, 59228, 50939, 52742, 51479, 56459, 53246, 50828, 50953, 51215, 52822, 51535, 53022, 51397, 52239, 51627, 52269, 51448, 51093, 50914, 51572, 53589, 53246, 50820, 69091, 50868, 61483, 53114, 51776, 50857, 51888, 50859, 59340, 50829, 51618, 56128, 53246, 50837, 51037, 62294, 50864, 50847, 52743, 51683, 50809, 51888, 52773, 51928, 60512, 53246, 50828, 50964, 51215, 69091, 50868, 61483, 50825, 70809, 51647, 53589, 53246, 50820, 69091, 50868, 61483, 53217, 51906, 50809, 51648, 50857, 51441, 51117, 53246, 50829, 51037, 62294, 50864, 50992, 54026, 51913, 51933, 51683, 51161, 70707, 53246, 50837, 51037, 62294, 65920, 50825, 65703, 56459, 53246, 50828, 50945, 51215, 52822, 51680, 52706, 52015, 52495, 51452, 52248, 51803, 62374, 50872, 62703, 50825, 51113, 51518, 51402, 52922, 50820, 62374, 59228, 72361, 51039, 56455, 53246, 50829, 51510, 56128, 53246, 65622, 67861, 62703, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 62374, 50872, 62703, 50864, 51532, 53589, 53246, 64202, 50825, 59228, 50850, 50825, 51361, 56494, 53246, 54288, 70707, 53246, 65622, 67861, 62703, 53945, 51479, 56459, 53246, 50828, 50945, 51215, 53012, 59719, 53246, 64202, 67861, 62703, 53114, 51070, 54368, 51224, 55549, 53246, 65622, 67861, 62703, 52743, 51683, 51175, 51913, 58307, 57167, 55549, 53246, 50828, 50964, 51215, 52822, 51709, 52706, 51253, 52495, 51480, 52248, 51400, 50946, 61215, 67861, 54781, 51326, 55549, 53246, 73615, 61215, 67861, 53217, 52425, 67513, 62131, 53246, 66352, 50864, 58816, 59228, 54820, 51004, 58470, 60238, 53246, 50837, 50946, 50825, 58816, 50872, 56834, 64852, 50799, 51906, 50930, 51648, 53345, 50898, 56315, 55892, 56198, 53246, 50828, 50953, 51215, 52495, 51145, 52239, 51677, 52681, 51422, 50848, 67861, 68970, 50825, 51165, 51933, 51402, 52922, 61585, 67861, 68970, 54202, 51648, 50887, 51713, 51421, 56455, 53246, 54104, 51906, 50840, 51648, 50887, 75507, 53246, 50837, 58816, 59228, 50939, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 58816, 59228, 50939, 56789, 51648, 50809, 51713, 52675, 53589, 53246, 61585, 67861, 68970, 50825, 51361, 56494, 53246, 54288, 51906, 50887, 51648, 50887, 70707, 53246, 63570, 50825, 59228, 50939, 52742, 51479, 56459, 53246, 50828, 50953, 51215, 53022, 51363, 51572, 53589, 53246, 50820, 51037, 62294, 50864, 50847, 75164, 54274, 50829, 51618, 56128, 53246, 50837, 51037, 62294, 61483, 52743, 51963, 51121, 51683, 68138, 51928, 60512, 53246, 50828, 50964, 51215, 52822, 51363, 53022, 51221, 52681, 51534, 69091, 63246, 60697, 51088, 51121, 51647, 53589, 53246, 50820, 51037, 62294, 50864, 50847, 54232, 52489, 51110, 52425, 51194, 51441, 51117, 53246, 50829, 51037, 62294, 50864, 50992, 50825, 51375, 63007, 70707, 53246, 50837, 69091, 50868, 65920, 50825, 50799, 51913, 50840, 51648, 53345, 50898, 56459, 53246, 50828, 50945, 51215, 52822, 54573, 52706, 52015, 52495, 51742, 52248, 51677, 62374, 50872, 62703, 50825, 51113, 51518, 51402, 52922, 64202, 67861, 62703, 52944, 51683, 50840, 51713, 50836, 65683, 53246, 54104, 51913, 50855, 51648, 50840, 75507, 53246, 50837, 62374, 50872, 62703, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 62374, 59228, 50850, 56789, 51683, 50809, 51713, 52675, 53589, 53246, 64202, 67861, 62703, 50825, 51361, 56494, 53246, 54288, 51913, 50836, 51648, 50858, 70707, 53246, 65622, 50825, 59228, 50850, 52742, 51479, 56459, 53246, 50828, 50945, 51215, 51572, 53589, 53246, 64202, 50825, 59228, 50850, 75164, 54274, 50829, 51618, 56128, 53246, 65622, 67861, 62703, 52743, 51683, 51167, 51913, 58307, 51928, 60512, 53246, 50828, 50964, 51215, 52822, 51852, 52706, 52034, 52495, 51203, 52248, 51363, 74311, 58816, 50872, 50825, 51647, 53589, 53246, 73615, 50825, 58816, 50872, 53217, 52425, 50901, 51441, 51117, 53246, 66352, 61215, 67861, 54026, 70707, 53246, 50837, 74311, 50848, 67861, 50825, 50799, 51906, 50818, 51648, 53345, 50898, 56459, 53246, 50828, 50953, 51215, 52706, 51448, 52495, 51448, 52239, 51535, 52681, 51448, 50848, 67861, 68970, 50825, 51165, 50918, 51402, 52922, 61585, 50825, 59228, 50939, 52944, 51648, 50840, 51713, 50855, 65683, 55144, 64274, 54104, 51906, 50862, 51648, 50840, 75507, 64274, 63570, 67861, 68970, 52641, 56331, 59719, 50932, 51070, 50828, 50964, 51215, 50848, 67861, 68970, 54974, 51648, 50836, 51713, 52207, 52922, 61585, 50825, 59228, 50939, 50825, 51361 ]
[ 0, 250, 182, 1769, 12, 20764, 5175, 2214, 11, 381, 3694, 6, 4246, 10, 13305, 14, 1974, 20425, 34879, 6, 2351, 41, 9066, 8, 25306, 5466, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 29769, 198, 5, 40286, 163, 8, 230, 6, 61, 7230, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 51799, 51080, 51120, 51145, 51147, 58172, 50931, 53004, 50968, 53591, 50931, 52580, 51147, 58519, 50931, 52739, 50968, 53720, 50931, 52788, 52046, 51314, 51197, 51145, 51147, 58666, 50931, 53086, 50968, 54043, 50931, 52989, 51147, 59835, 50931, 53176, 50968, 54529, 59715, 60963, 51080, 51315, 51145, 51147, 58172, 50931, 53004, 50968, 53591, 50931, 52580, 51147, 58519, 50931, 52739, 50968, 53720, 50931, 52788, 51247, 51314, 51050, 51145, 51147, 58666, 50931, 53086, 50968, 54043, 50931, 52989, 51147, 59835, 50931, 53176, 50968, 54529, 59715, 58066, 51644, 50303, 65377, 61306, 60726, 51279, 52688, 51324, 55544, 51085, 51517, 50303, 75675, 78502, 56391, 51324, 52985, 51279, 51712, 50303, 68186, 68470, 62214, 51085, 50838, 58066, 55126, 51279, 51260, 50303, 75675, 78502, 54335, 51324, 55544, 51085, 54498, 50871, 65186, 61341, 59242, 51324, 52985, 51279, 61528, 64636, 65186, 58843, 51085, 50838, 58066, 51644, 50303, 65377, 61306, 60115, 51279, 52688, 51324, 55544, 51085, 77149, 75675, 78502, 78239, 51120, 61284, 51085, 72379, 51324, 52985, 51279, 51712, 50303, 68186, 68470, 62214, 51085, 50838, 58066, 55126, 51279, 51260, 50303, 75675, 78502, 54335, 51324, 55544, 51085, 54498, 51027, 73790, 64636, 59242, 51324, 52985, 51279, 61528, 64636, 65186, 58843, 51085, 50838, 58066, 66228, 62722, 51517, 50324, 60115, 51279, 52688, 51324, 55544, 51085, 65523, 71509, 52104, 50324, 78239, 51120, 61284, 51085, 72379, 51324, 52985, 51279, 64535, 74827, 52026, 50324, 62214, 51085, 50838, 58066, 55126, 51279, 61418, 71509, 52104, 50324, 54335, 51324, 55544, 51085, 54498, 50931, 79665, 52026, 50328, 59242, 51324, 52985, 51279, 58722, 67120, 79665, 58843, 51085, 50838, 58066, 66228, 62722, 51517, 50324, 60115, 51279, 52688, 51324, 55544, 51085, 70713, 71509, 52104, 50324, 56391, 51324, 52985, 51279, 64535, 74827, 52026, 50324, 62214, 51085, 50838, 58066, 55126, 51279, 61418, 71509, 52104, 50324, 54335, 51324, 55544, 51085, 54498, 50877, 67889, 67120, 59242, 51324, 52985, 51279, 58722, 67120, 79665, 58843, 51085, 50838, 71691, 51841, 65632, 51283, 50973, 79311, 51315, 52688, 51841, 55544, 51315, 61418, 51965, 50968, 51318, 50438, 51841, 56391, 51315, 52985, 51841, 58887, 66918, 54509, 51315, 61418, 71509, 50905, 54734, 58363, 51283, 50931, 51310, 60284, 52688, 51247, 55544, 51050, 57643, 52454, 50325, 56656, 51247, 56391, 51050, 58903, 72895, 54323, 51247, 63785, 66257, 54509, 51050, 57643, 52104, 50325, 50905, 60963, 66386, 51283, 51147, 79311, 51315, 52688, 51841, 55544, 51315, 61418, 51965, 50968, 51318, 50438, 51841, 56391, 51315, 52985, 51841, 64535, 59835, 51114, 53176, 51315, 60472, 50838, 60963, 51644, 50324, 78377, 51315, 52688, 51841, 55544, 51315, 58903, 51680, 50438, 51841, 56391, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 65632, 51283, 50973, 79311, 51315, 52688, 51841, 55544, 51315, 61418, 51965, 50968, 51318, 50438, 51841, 56391, 51315, 52985, 51841, 58887, 66918, 54509, 51315, 61418, 71509, 50905, 54734, 58363, 51283, 50931, 51310, 60284, 52688, 51247, 55544, 51050, 57643, 52454, 50325, 56656, 51247, 56391, 51050, 58903, 72895, 54323, 51247, 63785, 66257, 54509, 51050, 57643, 52104, 50325, 50905, 60963, 66386, 51283, 51147, 79311, 51315, 52688, 51841, 55544, 51315, 65505, 52783, 51220, 51803, 50438, 51841, 56391, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 51644, 50324, 78377, 51315, 52688, 51841, 55544, 51315, 74984, 64025, 51841, 56391, 51315, 52985, 51841, 64535, 52026, 50327, 58843, 51315, 50838, 54734, 58363, 51172, 51062, 51363, 60284, 56909, 50973, 51852, 51220, 51412, 50426, 51247, 55544, 51050, 56943, 51852, 50999, 51412, 50438, 51247, 68861, 50871, 51671, 50931, 51313, 50444, 51050, 52985, 51247, 56711, 51050, 50838, 54734, 55126, 51050, 52688, 51247, 55544, 51050, 52718, 51247, 56391, 51050, 56943, 51965, 50999, 72269, 51247, 56711, 51050, 50838, 60963, 65632, 51172, 51147, 51363, 50420, 51315, 56909, 50877, 51852, 50999, 51412, 50426, 51841, 55544, 51315, 61418, 51852, 51220, 51412, 50438, 51841, 68861, 50973, 55844, 51220, 54143, 50444, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 55126, 51315, 52688, 51841, 55544, 51315, 52718, 51841, 56391, 51315, 52985, 51841, 64535, 52026, 50327, 58843, 51315, 50838, 54734, 58363, 51309, 51062, 51233, 60284, 67132, 50973, 51797, 51220, 51337, 50426, 51247, 50974, 50430, 50877, 51753, 50999, 75359, 51050, 52718, 51247, 59704, 51481, 50931, 51233, 50444, 51050, 69262, 50916, 51753, 50968, 75926, 51247, 50974, 50454, 50899, 51753, 50902, 51337, 50456, 51050, 50838, 54734, 59023, 51309, 50999, 51233, 60284, 50838, 64309, 51797, 50951, 51337, 50426, 51247, 50974, 74413, 51753, 50931, 75359, 51050, 52718, 51247, 63785, 51328, 50999, 79098, 51050, 69262, 50968, 66809, 51247, 50974, 50454, 50931, 66983, 51050, 50838, 60963, 65632, 51309, 51147, 51233, 50420, 51315, 67132, 50877, 51797, 50999, 51337, 50426, 51841, 50974, 50430, 50973, 51797, 51220, 75359, 51315, 52718, 51841, 64535, 53849, 51220, 53413, 50444, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 55126, 51315, 52688, 51841, 55544, 51315, 52718, 51841, 56391, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 51517, 50291, 51517, 50296, 50995, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 60963, 51517, 50291, 51517, 50296, 50981, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 60963, 51517, 50291, 51517, 50296, 50981, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 60963, 51517, 50291, 51517, 50296, 50981, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 66784, 51853, 50324, 54509, 50871, 75598, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 66784, 51853, 50324, 54509, 50871, 75598, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 66784, 51853, 50324, 54509, 50871, 75598, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 69136, 51853, 50324, 54509, 50871, 75598, 50905, 58066, 55126, 51279, 52688, 51324, 55544 ]
[ 0, 4688, 20425, 5175, 3836, 2214, 4246, 10, 6755, 12547, 6, 3152, 6757, 6, 17465, 102, 6, 38668, 9590, 6, 8, 21072, 4, 8504, 11, 272, 3694, 19, 10, 1769, 20889, 6, 5, 33301, 16, 3185, 30, 10, 16331, 33215, 16739, 9, 272, 119, 6, 163, 428, 6, 230, 119, 6, 163, 428, 6, 8, 230, 119, 406, 4, 20, 1349, 7630, 6568, 10, 3366, 219, 5466, 150, 6780, 10, 670, 41063, 15796, 2621, 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 ]	[ 56236, 50796, 65095, 68581, 53793, 50801, 68581, 50809, 51755, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 78594, 51068, 55589, 55168, 66866, 50801, 51730, 54092, 54092, 53984, 51045, 51289, 71188, 74219, 50851, 51361, 55168, 51556, 50851, 51658, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 51572, 54478, 51068, 55589, 55168, 75857, 50801, 52218, 54092, 54092, 53984, 51045, 51289, 71188, 73165, 50851, 51453, 52227, 58701, 62230, 53793, 66151, 62230, 50809, 51755, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 78594, 51068, 55589, 55168, 66866, 50801, 52218, 54092, 54092, 53984, 65383, 71188, 54056, 51068, 51045, 52066, 51361, 51049, 54112, 51068, 51010, 52066, 51658, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 51572, 54478, 51068, 55589, 55168, 75857, 50801, 52218, 54092, 54092, 53984, 65383, 71188, 73165, 57546, 50456, 55520, 50809, 51093, 50809, 51683, 52467, 51420, 68692, 56854, 62230, 53793, 55749, 50809, 69401, 51648, 51421, 50851, 66151, 62230, 50809, 50799, 61716, 50830, 55520, 51358, 51395, 72069, 51358, 51093, 51358, 52401, 51173, 52099, 50830, 51935, 56766, 71188, 52628, 58072, 50830, 51182, 50830, 52042, 50808, 51776, 55220, 52921, 56846, 50830, 51201, 50830, 52401, 51173, 51713, 50830, 70864, 56055, 71188, 52359, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 50830, 68773, 55749, 50830, 51107, 50830, 52401, 50940, 51648, 50830, 51935, 56766, 71188, 54790, 52042, 54400, 58072, 50830, 51182, 50830, 51776, 50830, 52068, 50447, 52042, 52843, 55520, 50830, 71722, 52401, 51173, 51683, 50830, 70864, 56055, 71188, 52485, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 53661, 64133, 50799, 55184, 51047, 57294, 51047, 55938, 51047, 57778, 51047, 57778, 51358, 51299, 51047, 51426, 51047, 74973, 51165, 51047, 52401, 51158, 52970, 50918, 51906, 50918, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 52401, 51158, 70864, 56055, 71188, 52359, 52042, 50952, 68773, 52401, 50924, 70864, 67614, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 52401, 51060, 70864, 56055, 71188, 52485, 55520, 50809, 51093, 50809, 52042, 50859, 51683, 52467, 55603, 58701, 62230, 53793, 55749, 50809, 69401, 51648, 52467, 54772, 62230, 50809, 50799, 61716, 50830, 58002, 51358, 51395, 72069, 51358, 51093, 51358, 52401, 51173, 52099, 50830, 51935, 56766, 71188, 52628, 58072, 50830, 51182, 50830, 52042, 50808, 51776, 50830, 60913, 56846, 50830, 51201, 50830, 52401, 51173, 51713, 50830, 70864, 56055, 71188, 52359, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 50830, 68773, 61716, 50830, 51395, 50830, 52401, 50940, 52099, 50830, 51935, 56766, 71188, 54790, 52042, 54400, 58072, 50830, 51182, 50830, 51776, 50830, 52068, 50447, 52042, 52843, 55749, 50830, 51107, 50830, 52401, 51173, 51648, 50830, 70864, 56055, 71188, 52485, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 53661, 55603, 50822, 52198, 50800, 50799, 55936, 50807, 55938, 50807, 55520, 51091, 51093, 51091, 51154, 50918, 77853, 52401, 51158, 51683, 51091, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 52401, 51158, 70864, 56055, 71188, 52359, 52042, 50952, 68773, 63330, 50967, 51357, 50967, 52401, 50924, 52310, 50967, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 52401, 51060, 70864, 56055, 71188, 52485, 55520, 50809, 51093, 50809, 52042, 50859, 51683, 51421, 54678, 55749, 50809, 69401, 51648, 52467, 50800, 50799, 61716, 50967, 55938, 50807, 55520, 50807, 51395, 50967, 77853, 76180, 52401, 51173, 52099, 50967, 51935, 56766, 71188, 52628, 52042, 52672, 52921, 55749, 50830, 51107, 50830, 52401, 51173, 51648, 50830, 70864, 56055, 71188, 52359, 56846, 50807, 65085, 52042, 79256, 50807, 68773, 52401, 50940, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 52843, 52401, 51173, 70864, 56055, 71188, 52485, 55520, 50809, 51093, 50809, 52042, 50800, 51683, 52467, 55603, 54846, 55749, 50809, 69401, 51648, 50809, 50799, 61716, 50967, 55938, 50807, 57778, 50807, 51395, 50967, 77853, 51165, 50918, 52401, 51158, 52099, 50967, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 55749, 50830, 51107, 50830, 52401, 51158, 51648, 50830, 70864, 56055, 71188, 52359, 56846, 50807, 65085, 52042, 50952, 51713, 54490, 52691, 52401, 50924, 70864, 67614, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 52401, 51060, 70864, 56055, 71188, 50809, 53061, 53820, 55520, 50809, 51093, 50809, 52042, 50859, 51683, 51421, 54678, 55749, 50809, 69401, 51648, 50809, 50799, 61716, 50967, 55938, 50807, 55520, 50807, 51395, 50967, 51088, 51358, 51093, 51358, 52401, 51173, 52099, 50967, 51935, 56766, 71188, 52628, 52042, 52672, 52921, 55749, 50830, 51107, 50830, 52401, 51173, 51648, 50830, 70864, 56055, 71188, 52359, 56846, 50967, 51201, 50967, 52042, 79256, 50967, 68773, 52401, 50940, 51935, 56766, 71188, 54790, 52042, 54400, 61716, 50830, 51395, 50830, 52099, 50830, 52068, 50447, 52042, 52843, 58072, 50967, 51182, 50967, 52401, 51173, 51776, 50967, 70864, 56055, 71188, 52485, 52042, 51907, 64133, 50799, 63330, 50807, 55749, 50807, 51357, 51091, 51107, 51091, 52401, 51158, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 58072, 50809, 51182, 50809, 52401, 51158, 51776, 52773, 54092, 56055, 71188, 54056, 75229, 50809, 51629, 50809, 52747, 52359, 58072, 50830, 51182, 50830, 52042, 50952, 51776, 50830, 68773, 63330, 50807, 55749, 50807, 51357, 51091, 51107, 51091, 52401, 50924, 70864, 67614, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 58072, 50809, 51182, 50809, 52401, 51060, 51776, 52773, 54092, 56055, 71188, 54139, 75229, 50809, 51629, 50809, 52747, 52485, 58072, 50830, 51182, 50830, 52042, 50859, 51776, 53661, 55603, 58701, 62230, 50809, 52198, 54772, 62230, 50809, 50799, 61716, 50830, 53088, 50823, 77853, 76180, 52143, 51243, 51426, 51445, 51088, 51445, 51093, 51445, 52401, 51158, 51935, 56766, 71188, 52628, 55749, 50830, 51914, 50823, 52042, 50859, 60913, 61716, 50830, 53088, 50823, 52401, 51158, 70864, 56055, 71188, 52359, 55749, 50830, 51914, 50823, 52042, 50952, 68773, 61716, 50967, 53088, 50975, 52401, 50924, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 55749, 50830, 51914, 50823, 51088, 50830, 52401, 51060, 70864, 56055, 71188, 52485, 61716, 51112, 53088, 51066, 51088, 51161, 51093, 51161, 52042, 54047, 55603, 50822, 52198, 50800, 50799, 52143, 52337, 51426, 52121, 51182, 52204, 51093, 51801, 52401, 51158, 51935, 56766, 71188, 52628, 55749, 50830, 51914, 50823, 52042, 50859, 60913, 61716, 50830, 53088, 50823, 52401, 51158, 70864, 56055, 71188, 52359, 55749, 50830, 51914, 50823, 52042, 50952, 68773, 61716, 50967, 53088, 50975, 52401, 50924, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 55749, 50967, 51914, 50975, 52401, 51060, 70864, 56055, 71188, 52485, 52042, 50859, 52068, 52198, 50800, 50799, 61716, 50830, 53088, 50823, 77853, 76180, 52401, 51173, 51935, 56766, 71188, 52628, 55749, 50830, 51914, 50823, 52042, 52672, 52921, 61716, 50830, 53088, 50823, 52401, 51173, 70864, 56055, 71188, 52359, 55749, 50830, 51914, 50823, 52042, 51049, 52729, 61716, 50967, 53088, 50975, 52401, 50940, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 52843, 56846 ]
[ 0, 250, 32076, 3495, 1619, 2214, 4246, 10170, 1499, 6, 449, 7087, 6, 13305, 6, 930, 2233, 6, 8, 23338, 33518, 1264, 6, 278, 11, 10, 20902, 155, 73, 306, 86, 6543, 19, 10, 27841, 139, 20889, 4, 20, 2125, 6, 11, 5, 762, 9, 83, 538, 6, 16, 17407, 30, 10, 15352, 30054, 8, 33558, 6711, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50639, 51018, 51018, 51018, 50446, 52533, 51585, 50449, 51198, 50914, 51034, 51984, 51692, 51099, 52282, 51119, 51029, 53360, 52054, 55124, 51830, 50822, 51917, 50808, 51198, 51043, 50903, 53156, 76969, 51119, 54123, 51830, 50810, 51917, 50800, 79414, 70300, 50903, 53156, 69774, 51708, 50910, 51099, 50942, 51034, 51216, 51518, 51119, 58011, 68014, 51917, 52450, 51830, 50822, 51847, 51252, 51099, 51269, 51119, 50365, 51698, 53156, 54584, 51830, 50810, 51917, 50800, 51099, 51121, 51119, 50974, 51847, 55023, 53156, 57764, 52533, 51358, 50448, 51198, 51423, 51034, 51493, 51518, 51099, 68113, 70250, 51119, 51573, 50425, 51917, 52450, 51830, 50822, 51198, 51242, 50903, 53156, 76969, 51119, 54793, 51830, 50810, 51917, 50800, 51099, 51101, 80064, 51198, 60894, 53156, 69774, 51708, 50959, 51034, 51216, 78811, 53220, 51830, 50822, 51917, 50808, 51847, 50971, 51099, 51123, 51119, 57261, 53156, 73425, 51847, 50950, 51099, 51158, 51119, 73320, 51830, 50810, 51917, 55023, 53156, 57764, 52533, 52311, 50448, 51198, 50866, 50449, 51099, 50936, 51034, 51984, 51692, 51119, 55166, 68014, 51322, 52450, 51830, 50822, 51099, 51387, 51119, 50987, 50903, 53156, 54584, 51830, 50810, 51322, 50800, 51198, 50942, 79091, 51119, 70785, 53156, 58573, 52176, 56123, 51034, 51216, 50914, 51099, 51138, 51489, 51138, 52537, 52590, 50851, 50419, 52176, 78573, 51099, 50811, 51489, 52952, 51512, 50962, 51435, 50930, 50440, 51119, 51167, 52070, 51235, 50449, 51512, 50846, 51435, 50841, 51099, 50836, 51034, 51389, 51692, 51322, 52231, 51489, 53095, 70250, 51494, 61521, 51275, 51552, 50426, 51322, 52231, 52812, 50822, 51322, 67893, 53156, 54584, 51322, 52231, 52812, 50810, 51322, 50800, 51119, 78468, 53156, 69774, 51275, 50823, 51034, 51216, 51692, 51322, 52231, 51198, 50823, 52176, 50366, 51015, 50851, 50419, 52176, 63026, 51198, 53363, 50426, 52812, 50810, 51322, 50800, 51322, 51055, 50903, 53156, 54661, 50804, 51550, 50437, 51144, 53663, 52812, 50942, 51322, 50952, 51256, 51055, 76784, 51269, 53673, 54141, 77137, 51232, 51692, 59053, 52176, 51585, 79515, 51518, 51408, 51285, 50801, 50851, 50416, 51308, 51226, 50425, 51322, 52450, 56600, 50883, 52393, 50883, 52286, 61319, 53156, 72739, 53342, 51048, 51666, 51048, 50437, 51119, 61287, 52498, 50948, 51691, 50948, 52286, 50810, 51322, 77180, 51196, 50903, 53156, 69774, 51988, 52512, 53105, 52512, 51198, 50982, 51232, 50928, 51034, 51216, 51692, 52176, 54169, 53220, 51322, 50800, 51322, 51055, 51708, 55428, 51198, 56300, 50903, 53156, 72739, 52286, 61868, 51144, 53663, 51873, 50893, 52368, 50893, 52286, 50942, 51322, 50952, 51256, 51055, 50903, 53156, 69774, 51119, 50823, 52176, 54430, 79515, 51518, 51408, 51285, 51232, 51675, 50801, 59010, 51308, 51141, 50424, 53342, 51091, 51666, 51091, 50425, 51322, 52450, 52286, 61319, 53156, 74234, 52498, 50806, 51691, 52322, 52286, 50810, 51322, 77180, 51585, 51119, 70571, 53156, 69774, 51988, 52097, 53105, 52097, 51034, 51216, 51692, 51144, 51591, 51119, 52195, 50801, 55054, 51119, 56374, 50426, 51322, 55023, 53156, 72739, 52286, 52729, 51873, 51566, 52368, 51566, 52286, 50942, 51322, 50952, 51256, 51055, 50903, 53156, 74578, 51119, 51379, 50443, 51232, 51000, 51034, 52078, 51692, 51994, 52195, 51871, 52195, 51209, 51285, 50801, 50851, 50416, 51869, 51021, 51198, 50910, 51099, 63606, 51256, 52450, 52000, 61319, 53156, 54584, 51994, 51048, 51871, 51048, 52000, 50810, 51256, 50800, 51209, 51055, 51198, 51797, 51099, 51167, 50903, 53156, 57764, 51869, 51518, 50449, 51198, 51238, 51034, 51389, 51692, 51994, 51235, 51871, 51235, 51229, 51055, 51099, 56795, 68014, 52498, 51346, 51691, 51346, 51144, 55640, 51256, 50800, 51209, 51055, 50903, 53156, 72739, 52000, 55730, 51198, 51314, 50436, 51994, 51346, 51871, 51346, 50438, 52000, 50942, 51256, 50952, 51256, 51055, 51099, 55964, 53156, 77047, 51708, 51965, 50449, 52619, 51605, 51873, 51605, 51034, 51216, 51518, 51908, 51605, 51366, 51469, 51232, 56073, 52537, 51896, 50801, 68014, 51917, 52450, 51830, 50822, 51847, 52015, 50903, 53156, 54584, 51830, 50810, 51917, 50800, 51708, 53241, 50903, 53156, 50907, 51034, 51493, 51692, 52537, 52827, 50801, 53220, 51917, 50800, 51917, 51055, 50903, 53156, 72739, 51830, 50810, 51847, 51413, 50437, 51232, 76190, 51830, 50942, 51917, 50952, 51366, 51055, 50903, 53156, 69774, 51964, 50890, 51034, 51216, 51518, 51408, 51285, 53646, 53672, 50851, 50416, 52746, 58486, 52533, 51336, 50425, 51917, 52450, 51830, 61319, 53156, 72739, 51994, 50889, 51871, 50889, 51308, 51724, 51830, 50810, 51917, 77180, 51196, 51099, 50893, 51308, 72633, 53156, 74578, 51873, 51345, 52368, 51345, 51198, 51045, 51034, 51493, 51692, 52537, 52311, 50801, 70250, 51988, 51364, 53105, 51364, 50426, 51917, 50800, 51917, 51055, 51099, 50959, 51119, 50865, 50903, 53156, 72739, 51830, 52729, 51873, 51379, 52368, 51379, 51830, 50942, 51917, 50952, 51366, 51055, 51847, 50803, 51099, 50910, 51119, 50967, 50903, 53156, 77047, 52533, 51896, 50449, 51198, 51480, 51034, 51216, 51518, 51408, 51285, 51512, 67487, 70250, 51308, 68542, 53438, 50859, 52939, 50859, 51830, 50822, 51917, 50808, 51198, 52059, 50903, 53156, 50907, 50428, 51994, 51095, 51871, 70149, 51873, 51055, 52368, 51055, 51830, 50810, 51917, 77180, 51469, 51099, 53010, 68946, 51308, 71424, 53156, 54682, 51119, 58510, 51847, 52048, 51034, 51493, 51692, 51988, 52512, 53105, 52512, 51708, 51932, 51099, 51244, 51119, 51661, 50801, 53220, 51830, 50810, 51917, 50800, 51847, 51166, 50903, 53156, 73425, 51873, 51379, 52368, 51379, 50438, 51830, 50942, 51917, 50952, 51847, 50860, 51119, 75994, 53156, 79177, 51280, 63532, 50449, 52498, 51010, 51691, 51010, 51034, 51216, 51518, 51209, 51055, 52537, 53601, 50801, 70250, 53438, 50887, 52939, 61060, 51994, 51091, 51871, 51091, 50425, 51917, 52450, 51830, 50822, 51209, 51055, 50903, 53156, 72739, 51847, 51269, 51099, 65536, 51099, 50800, 51847, 51252, 50437, 51994, 51056, 51871, 67272, 51830, 50810, 51917, 77180, 51055, 51099, 50865, 51847, 51470, 50903, 53156, 54682, 51847, 51524, 79091, 51034, 51493, 51692, 51994, 51255, 51871, 51255, 51209, 51055, 51708, 51029, 51847, 50955, 51099, 53287, 68014, 51280, 50874, 51144, 53950, 52498, 50896, 51691, 50896, 51917, 69635, 51055, 50903, 53156, 72739, 51830, 75322, 51119, 51894, 50437, 51280, 51337, 51232, 69203, 52619, 51337, 51908, 51337, 51830, 50942, 51917, 50952, 51366, 51055, 50903, 53156, 69774, 53342, 52382, 51873, 52382, 51666, 52382, 79515, 51518, 51322, 54089, 52176, 55198, 51708, 51183, 51198, 51356, 50801, 53220, 52286, 50822, 51322, 50808, 51144, 51226, 50903, 53156, 54584, 52286, 50810, 51322, 50800, 51119, 51427, 50903, 53156, 74578, 51232, 52222, 51034, 51216, 51692, 51275, 75264, 53220, 52286, 50810, 51322, 55023, 53156, 54661, 50804, 51550, 50433, 54520, 72215, 67656, 52204, 50437, 52619, 69658, 52286, 50942, 51322, 50952, 51275, 51021, 76784, 51269, 53673, 50442, 51198, 53325, 50804, 72496, 51232, 51309, 50448, 51876, 52151, 50449, 51099, 51008, 51964, 53898, 68423, 51518, 52619, 52382, 51994, 52919, 51531, 52919, 51334, 51055, 51153, 65426, 53220, 51451, 50822, 51209, 50808, 51334, 51055, 51232, 52782, 51099, 50978, 50903, 53156, 54584, 51451, 50810, 69787, 51334, 51055, 51232, 51797 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3152, 6, 22750, 1626, 1313, 1007, 4, 85, 30853, 23, 10, 2635, 20889, 11, 10, 204, 73, 306, 86, 6543, 6, 24028, 11, 5, 762, 9, 83, 3694, 4, 20, 10320, 1258, 1575, 21072, 6, 3459, 9590, 6, 23338, 33518, 1264, 6, 8, 10, 38668, 483, 6, 19, 10, 6755, 12547, 1271, 5581, 7, 5, 9804, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 8, 1918, 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 ]	[ 61791, 50415, 50637, 56703, 54579, 50816, 50846, 51694, 54986, 50816, 53442, 50816, 50820, 52129, 55551, 50798, 53533, 51224, 54944, 51224, 52193, 51289, 54943, 51289, 50883, 52354, 51138, 51092, 53662, 54724, 58888, 54121, 57056, 51536, 61060, 51092, 51139, 56198, 58516, 51536, 54031, 51061, 50846, 68244, 51092, 65805, 50898, 58092, 51536, 58980, 51061, 63039, 50961, 69704, 51092, 50930, 73011, 59094, 51536, 53516, 65059, 51092, 55719, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 66827, 67871, 51023, 50883, 51092, 73417, 50898, 55303, 57004, 51536, 59873, 51061, 63039, 71701, 51406, 52600, 69124, 51185, 50860, 63145, 51437, 55303, 57014, 51630, 51030, 68251, 51061, 50846, 68244, 51092, 65805, 51156, 55303, 57013, 51536, 60555, 51061, 63039, 71701, 51187, 52725, 50964, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 78138, 51061, 63039, 50883, 51092, 53500, 50898, 55144, 54359, 51061, 63039, 50883, 51092, 75748, 52354, 50936, 51092, 51670, 54724, 51239, 55303, 57056, 51536, 66802, 51092, 50962, 52352, 51117, 58516, 51536, 54031, 51061, 63039, 50883, 69704, 51092, 51130, 58092, 51536, 55893, 67871, 51023, 62737, 50820, 51092, 69699, 51117, 59094, 51536, 53516, 65059, 51092, 51670, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 78138, 51061, 50818, 51023, 72087, 73417, 50898, 55303, 57004, 51536, 59873, 62790, 51023, 62737, 51464, 52600, 50945, 51603, 51185, 50911, 63145, 51437, 55303, 57014, 51630, 50893, 68251, 51061, 50884, 51023, 72087, 62737, 51156, 55303, 57013, 51536, 60555, 51061, 63039, 71701, 51187, 52725, 51019, 51460, 77247, 51833, 55144, 70885, 56671, 52579, 51089, 68204, 62737, 52538, 50898, 55144, 54359, 51089, 50839, 51020, 65805, 75748, 52288, 51021, 51185, 56583, 54724, 51239, 55303, 57056, 51630, 56092, 51185, 50962, 52352, 51117, 58516, 51630, 53336, 51061, 63039, 50884, 51185, 67127, 51010, 51468, 50421, 51630, 58980, 62818, 51023, 67127, 75809, 50930, 73011, 59094, 51630, 54392, 51069, 51012, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 61207, 51061, 73818, 50883, 51185, 71701, 51156, 55303, 57004, 51536, 61023, 62818, 51023, 50884, 51185, 51044, 52600, 65895, 51023, 51520, 54724, 51437, 55303, 57014, 51355, 50930, 68251, 51061, 63039, 50883, 51185, 51044, 55303, 53528, 67871, 51023, 50884, 51185, 51187, 52725, 51069, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 74442, 51061, 63039, 50895, 51185, 67127, 56339, 55144, 57620, 51630, 59426, 69318, 51023, 75809, 50841, 51185, 50930, 51762, 50460, 51630, 50890, 52288, 51014, 51185, 51670, 54724, 51239, 55303, 57056, 51630, 66802, 51185, 51156, 56198, 58516, 51630, 57242, 51061, 73818, 50883, 51185, 67127, 51156, 58092, 51630, 58980, 68462, 51023, 75809, 73549, 51156, 54121, 59094, 51630, 55447, 77764, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 67038, 51061, 73818, 50895, 51185, 62737, 51156, 55303, 57004, 51536, 61023, 62790, 51023, 50895, 51185, 51239, 64549, 58286, 52365, 52742, 50927, 51932, 51023, 51670, 54724, 51437, 55303, 60321, 59575, 51355, 50930, 51572, 72667, 53239, 51061, 73818, 50883, 51185, 51044, 55303, 50373, 52439, 55551, 67871, 51023, 50895, 51185, 51406, 64549, 53533, 51019, 51354, 77247, 51833, 55144, 60321, 76419, 56671, 52579, 51089, 50884, 51020, 50883, 51092, 53404, 50898, 55144, 54359, 51089, 50818, 51020, 50883, 51092, 51467, 50820, 52354, 51138, 51092, 53662, 54724, 58888, 54121, 57056, 51536, 61060, 51092, 51139, 56198, 58516, 51536, 54031, 51061, 50818, 68244, 51092, 65805, 50898, 58092, 51536, 58980, 62790, 51023, 50895, 69704, 51092, 50930, 73011, 59094, 51536, 53516, 65059, 51092, 55719, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 66827, 51061, 50818, 51023, 50883, 51092, 73417, 50898, 55303, 57004, 51536, 59873, 51061, 63039, 50883, 51092, 51187, 52600, 69124, 51185, 50860, 63145, 51437, 55303, 57014, 51630, 51030, 68251, 51061, 73818, 50883, 51092, 73417, 51156, 55303, 57013, 51536, 60555, 67871, 51023, 50884, 51092, 51467, 52725, 50964, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 78138, 51061, 73818, 50883, 51092, 53404, 50898, 55144, 54359, 61338, 51023, 65805, 51467, 50820, 52354, 50936, 51092, 51670, 54724, 51239, 55303, 57056, 51536, 66802, 51092, 50962, 52352, 51117, 58516, 51536, 54031, 51061, 50818, 68244, 51092, 62737, 51130, 58092, 51536, 55893, 62790, 51023, 62737, 73417, 69699, 51117, 59094, 51536, 53516, 65059, 51092, 51670, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 78138, 51061, 50884, 51023, 72087, 62737, 50898, 55303, 57004, 51536, 59873, 62790, 51023, 50884, 51092, 51187, 52600, 50945, 51603, 51185, 50911, 63145, 51437, 55303, 57014, 51630, 50893, 68251, 51061, 50846, 68244, 51092, 65805, 51156, 55303, 57013, 51536, 60555, 62790, 51023, 71701, 51187, 52725, 51019, 51460, 77247, 51833, 55144, 70885, 56671, 52579, 51089, 50818, 51020, 71701, 52538, 50898, 55144, 54359, 51089, 50841, 51020, 71701, 75748, 52288, 51021, 51185, 56583, 54724, 51239, 55303, 57056, 51630, 56092, 51185, 50962, 52352, 51117, 58516, 51630, 53336, 51061, 63039, 75809, 67127, 51010, 51468, 50421, 51630, 58980, 62818, 51023, 67127, 72971, 50930, 73011, 59094, 51630, 54392, 51069, 51012, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 61207, 51061, 73818, 67127, 62737, 51156, 55303, 57004, 51536, 61023, 62790, 51023, 50884, 51185, 51239, 52600, 65895, 51023, 51520, 54724, 51437, 55303, 57014, 51355, 50930, 68251, 51061, 73818, 50883, 51185, 51179, 55303, 53528, 67871, 51023, 50895, 51185, 51239, 52725, 51069, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 74442, 51061, 50818, 51023, 50883, 51185, 50884, 51185, 56339, 55144, 57620, 51630, 59426, 67871, 51023, 50883, 51185, 75809, 50930, 51762, 50460, 51630, 50890, 52288, 51014, 51185, 51670, 54724, 51239, 55303, 57056, 51630, 66802, 51185, 51156, 56198, 58516, 51630, 57242, 51061, 50818, 68244, 51185, 50884, 51185, 51156, 58092, 51630, 58980, 67871, 51023, 50895, 51185, 75809, 51156, 54121, 59094, 51630, 55447, 77764, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 67038, 51061, 50818, 51023, 50949, 51185, 65805, 51156, 55303, 57004, 51536, 61023, 61338, 51023, 67127, 51239, 52600, 50927, 51932, 51023, 51670, 54724, 51437, 55303, 57014, 51355, 50930, 68251, 51061, 50818, 51023, 50949, 51185, 51179, 55303, 53528, 62818, 51023, 67127, 51187, 52725, 51019, 51354, 77247, 51833, 55144, 70885, 56671, 52579, 51020, 73417, 50818, 51403, 53404, 50898, 55144, 54359, 51020, 50834, 51092, 50828, 51403, 76105, 52354, 51138, 52117, 50894, 73993, 53079, 50823, 63145, 58888, 54121, 69075, 56198, 52761, 67871, 51023, 71701, 51187, 53109, 52117, 51010, 73993, 53079, 50803, 62818, 51023, 71701, 51406, 54121, 52639, 65059, 77247, 51833, 68012, 56198, 52417, 66827, 52452, 51021, 52696, 50802, 54205, 50802, 51061, 63039, 50883, 51092, 51239, 55303, 53439, 62818, 51023, 71701, 51467, 52600, 69124, 52117, 51014, 52696, 51033, 53079, 51033, 63145, 51437, 55303, 50846, 68251, 62790, 51023, 50883, 51092, 51187, 55303, 53528, 67871, 51023, 71701, 51406, 52725, 50964, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 78138, 51061, 50818, 68244, 51092, 52538, 50898, 55144, 54359 ]
[ 0, 713, 17627, 17274, 5175, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1575, 10, 20902, 11739, 9, 20535, 6, 22052, 6, 4401, 757, 3178, 6, 8, 17796, 15561, 6, 2351, 10, 33558, 8, 2365, 5466, 4, 20, 12447, 1001, 20889, 4719, 5, 1007, 239, 1328, 6, 150, 5, 15352, 30054, 3222, 5785, 227, 5, 9571, 3639, 10, 10490, 9, 11098, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 272, 6, 8, 230, 1639, 10, 2705, 4811, 13, 42, 2214, 12, 16096, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 72965, 62239, 51068, 52565, 51068, 52210, 51068, 52396, 51068, 50846, 72965, 53855, 51068, 53219, 51068, 53239, 51068, 52396, 51068, 50846, 72965, 54877, 50380, 52439, 54966, 59761, 51170, 52905, 51240, 50380, 52439, 56289, 58855, 52365, 53116, 51068, 55399, 56455, 58829, 51240, 56455, 78846, 52878, 51068, 57868, 51170, 53083, 51240, 78846, 56289, 50818, 50799, 52365, 54877, 55304, 55399, 52905, 52365, 54877, 54782, 57517, 52565, 51068, 61526, 55399, 55202, 52878, 51240, 57517, 61526, 54877, 53083, 51068, 53317, 64200, 54877, 50828, 50799, 58183, 50970, 50892, 58993, 52166, 56340, 51700, 52761, 67911, 72639, 50947, 54007, 50986, 50808, 50970, 60352, 58821, 51068, 52437, 65930, 61416, 58993, 50832, 54169, 51135, 53063, 67911, 72639, 50947, 56966, 77205, 60888, 50947, 54362, 72429, 63960, 66906, 52166, 56340, 51700, 52986, 77205, 72639, 50947, 56675, 51700, 54847, 77205, 73635, 50947, 54596, 58183, 61416, 66906, 78820, 51239, 51909, 52579, 77205, 73635, 50947, 56860, 61270, 50970, 74630, 50799, 58183, 50970, 50892, 58993, 50832, 53669, 51135, 56340, 53576, 67911, 72639, 50947, 54007, 50986, 50808, 50970, 60352, 51620, 65930, 61416, 58993, 51068, 53704, 76902, 53063, 67911, 72639, 50947, 56966, 77205, 60888, 50947, 54362, 72429, 63960, 66906, 52166, 51877, 56564, 53239, 77205, 72639, 50947, 56675, 51700, 54028, 50986, 50808, 70434, 50947, 51757, 77205, 50970, 50859, 50947, 53841, 76902, 56564, 55079, 77205, 60888, 50947, 52935, 77205, 73635, 50947, 56860, 61270, 50970, 60352, 57614, 51093, 51013, 51284, 51109, 52233, 52122, 51821, 52122, 51701, 52122, 52354, 51111, 58183, 50970, 50892, 58993, 52166, 58168, 53227, 67911, 72639, 50947, 54250, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53467, 50986, 50808, 50970, 60352, 58821, 65431, 51284, 53770, 50964, 51111, 65930, 61416, 50947, 56369, 54005, 51179, 59278, 67769, 51284, 57648, 67911, 72639, 50947, 55121, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53307, 77205, 60888, 75727, 53357, 50805, 72429, 63960, 66906, 52166, 59808, 51093, 50879, 51284, 53999, 77205, 72639, 50947, 54250, 52132, 50825, 52345, 50809, 52360, 50809, 53328, 53401, 50945, 50840, 77205, 73635, 50947, 53287, 58501, 65431, 51284, 54323, 74100, 58183, 61416, 50947, 53946, 54005, 51044, 58677, 67769, 51284, 58843, 64279, 77205, 73635, 50947, 53287, 53708, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53793, 61270, 50970, 74630, 71059, 51355, 73695, 50855, 52354, 51111, 58183, 50970, 50892, 58993, 52166, 63222, 51107, 50914, 51284, 51097, 60434, 50821, 72639, 50947, 54250, 52132, 50835, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53467, 50986, 50808, 50970, 60352, 51620, 50964, 51111, 65930, 61416, 50947, 56369, 54005, 51179, 59278, 51113, 50805, 51284, 54342, 67911, 72639, 50947, 55121, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53307, 77205, 60888, 50947, 64141, 51093, 51446, 51284, 51535, 53357, 50805, 72429, 63960, 66906, 52166, 52986, 53775, 50849, 77205, 72639, 50947, 54250, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53401, 50945, 50840, 77205, 73635, 50947, 53287, 53035, 74100, 54030, 50849, 58183, 61416, 50947, 53946, 54005, 51044, 53017, 64279, 55199, 50849, 77205, 73635, 50947, 53287, 53708, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53793, 61270, 50970, 74630, 71059, 51355, 73695, 59700, 51201, 51141, 51284, 51318, 52354, 51095, 57655, 50849, 58183, 50970, 50892, 58993, 52166, 53403, 67911, 72639, 50947, 54250, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53467, 50986, 50808, 50970, 60352, 51620, 50964, 51095, 65930, 61416, 50947, 56369, 54005, 51179, 59278, 51284, 50805, 51304, 54342, 67911, 72639, 50947, 55121, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53307, 77205, 60888, 50947, 64141, 51182, 51364, 51394, 51115, 53357, 50805, 72429, 63960, 66906, 52166, 52986, 77205, 72639, 50947, 54250, 52132, 50825, 52345, 50809, 52360, 50809, 53328, 53401, 70746, 50986, 50808, 70434, 50947, 52218, 53035, 74959, 77205, 50970, 50859, 50947, 54047, 54005, 51044, 55097, 77205, 60888, 60405, 50455, 51201, 50849, 51284, 53581, 69275, 77205, 73635, 50947, 53287, 53708, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53793, 61270, 50970, 74630, 71059, 51355, 73695, 59700, 51201, 51307, 51394, 51445, 77881, 51821, 51353, 52072, 51353, 54516, 51111, 64629, 50970, 50892, 51064, 50901, 52166, 53403, 75444, 51713, 50858, 60217, 72639, 51064, 54250, 52132, 50835, 71059, 51543, 50855, 51630, 50855, 52661, 50809, 52779, 50809, 53328, 53467, 50960, 50808, 68421, 51064, 51620, 51906, 50808, 52366, 50858, 50945, 51111, 71369, 61416, 51064, 56369, 54005, 51179, 52953, 51683, 50808, 52306, 50858, 60217, 72639, 51064, 54250, 52132, 50835, 52661, 50809, 52779, 50809, 53328, 53307, 74582, 60888, 51064, 54362, 51648, 50809, 52991, 50880, 51186, 50805, 71821, 63960, 51064, 50873, 52166, 55604, 51648, 50833, 52991, 51820, 74582, 72639, 51064, 54250, 52132, 50835, 52661, 50809, 52779, 50809, 53328, 53401, 51648, 50800, 52991, 50821, 51186, 50840, 74582, 73635, 51064, 53287, 53035, 69642, 64629, 61416, 51064, 53946, 54005, 51044, 55097, 51683, 50812, 52306, 54418, 51906, 50833, 52366, 50800, 51186, 50938, 74582, 73635, 51064, 53287, 53708, 52132, 50825, 71059, 51543, 50855, 51630, 50855, 52661, 50809, 52779, 50809, 53328, 53793, 73127, 68421, 70095, 51543, 50855, 51630, 59700, 51266, 50917, 51182, 51058, 52233, 52122, 52091, 52122, 51678, 52122, 50799, 51888, 50859, 52306, 50882, 51133, 51111, 58183, 68242, 65738, 52166, 63222, 51266, 50937, 51182, 51006, 60434, 50821, 50998, 50882, 50929, 54250, 52132, 50825, 77071, 51250, 73695, 50855, 76282, 52360, 50809, 53385, 53467, 50986, 50808, 65025, 50929, 58821, 51266, 50937, 51182, 57104, 50953, 51095, 65930, 63386, 50929, 56369, 54005, 51179, 59278, 51266, 51159, 51182, 51380, 50432, 67911, 50998, 50882, 50929, 55121, 52132, 50835, 76282, 52360, 50809, 53385, 53307, 77205, 62049, 50929, 54362, 51133, 50805, 72429, 60419, 62018, 52166, 59808, 51266, 50849, 51182, 56391, 77205, 50998, 50882, 50929, 54250, 52132, 50825, 76282, 52360, 50809, 53385, 53401, 51133, 50840, 77205, 78680, 50929, 53287, 58501, 51107, 50805, 51201, 54323, 74959, 58183, 63386, 50929, 53946, 54005, 51044, 58677, 71545, 51266, 56711, 65344, 77205, 78680, 50929, 53287, 53708, 52132, 50825, 77071, 51250, 73695, 50855, 76282, 52360, 50809, 53385, 53793, 61270, 65025, 59675, 77071, 51250, 73695, 59700, 51266, 50805, 51182, 50974, 54272, 51111, 58183, 68242, 65738, 52166, 63222, 51266, 50917, 51182, 51006, 60434, 50821, 50998, 50882, 50929, 54250, 52132, 50835, 77071, 51250, 73695, 50855, 76282, 52360, 50809, 53385, 53467, 50986, 50808, 65025, 50929, 58821, 51266, 50917, 51182, 61911, 50953, 51095, 65930, 63386, 50929, 56369, 54005, 51179, 59278, 51266, 51157, 51182, 51380, 50432, 67911, 50998, 50882, 50929, 55121, 52132, 50835, 76282, 52360, 50809, 53385, 53307, 77205, 62049, 50929, 54362, 51133, 50805, 72429, 60419, 62018, 52166, 59808, 51266, 50938, 51182, 64208, 77205, 50998, 50882, 50929, 54250, 52132, 50835, 76282, 52360 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 10, 32909, 8, 1076, 560, 31365, 25999, 816, 5, 483, 34879, 6, 7513, 30, 10, 18558, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 163, 428, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50796, 50799, 54809, 56763, 53124, 64919, 52155, 74123, 51229, 53002, 51334, 53601, 51893, 57676, 55907, 52121, 53165, 52121, 52842, 52121, 52350, 52121, 52901, 52121, 54775, 52121, 52320, 54450, 53124, 50893, 50799, 52315, 51238, 50423, 52155, 51235, 51544, 53644, 53124, 51364, 52320, 50961, 50799, 54809, 56179, 53124, 51016, 51544, 54562, 51209, 51655, 52031, 52017, 51408, 51696, 52182, 51343, 62513, 51293, 55348, 52121, 53853, 52121, 54614, 51293, 52277, 51293, 56462, 51293, 52320, 54450, 53124, 50879, 50799, 53320, 60823, 52182, 53734, 54562, 51256, 54454, 51408, 54454, 51390, 54527, 53124, 51343, 52364, 53753, 52842, 53753, 52789, 53753, 60151, 53753, 52320, 50961, 50799, 54809, 56179, 53124, 51013, 51544, 54562, 52155, 74123, 51334, 53002, 51893, 53073, 51256, 51079, 51229, 53601, 52842, 52121, 54775, 52121, 55907, 52121, 52350, 52121, 52901, 52121, 53165, 52121, 52320, 54210, 53124, 50879, 50799, 52315, 61649, 52155, 53734, 54562, 53124, 51364, 52320, 50961, 50799, 54809, 56763, 53124, 54851, 53124, 53417, 54562, 54809, 54993, 52031, 53435, 51408, 51991, 51209, 51605, 52182, 51016, 62513, 52071, 56462, 52071, 55348, 52071, 54614, 52071, 53853, 52121, 52277, 52071, 50440, 50630, 50450, 52182, 53417, 54450, 52182, 50879, 50799, 52182, 56763, 52182, 55341, 52182, 53417, 54562, 51390, 51696, 51408, 51264, 51256, 51469, 53124, 51364, 52842, 51293, 60151, 51293, 52364, 51293, 52789, 51293, 55348, 51293, 50440, 50629, 52320, 50961, 50799, 52315, 56763, 53124, 64919, 50945, 56300, 53124, 51356, 59405, 50841, 51515, 52570, 51774, 53073, 55907, 52121, 53165, 52121, 52842, 52121, 50440, 50630, 51180, 53421, 53687, 56736, 54111, 56300, 53316, 50846, 51453, 50834, 50799, 54470, 50898, 54005, 55265, 54470, 52302, 54470, 50898, 53790, 55133, 54470, 52630, 54470, 56339, 56710, 54470, 52265, 56687, 51072, 51479, 50828, 51570, 52210, 54470, 51156, 52805, 54470, 52791, 64707, 51453, 53754, 50928, 56032, 50870, 53206, 56172, 50816, 50820, 50799, 58912, 50898, 54285, 55265, 54470, 53213, 50964, 54405, 51041, 61266, 51228, 58235, 50927, 53744, 51105, 50839, 54470, 58242, 51019, 59761, 50945, 52992, 51213, 51437, 53683, 56973, 50953, 65760, 51325, 50820, 50953, 53943, 51213, 56839, 50945, 56657, 51019, 52925, 51105, 50820, 71019, 52677, 52748, 57398, 50927, 50839, 51228, 56565, 50964, 53889, 54950, 51205, 53754, 62196, 51096, 56305, 51069, 53754, 52600, 51796, 50839, 50945, 51013, 51451, 51013, 51256, 51016, 56549, 51732, 59405, 50839, 51774, 51605, 51515, 52536, 51440, 52392, 50885, 58602, 52350, 52121, 52901, 52071, 54775, 52121, 50439, 51229, 51566, 50850, 51072, 50440, 50630, 51180, 53421, 59372, 51229, 51013, 51256, 50914, 50832, 51179, 53404, 59482, 64061, 50896, 50451, 51451, 51157, 70385, 51453, 59933, 53124, 50795, 52354, 50859, 51451, 50873, 74602, 52155, 50893, 51479, 66825, 55868, 59413, 51229, 50865, 50850, 56111, 67518, 51229, 50879, 51256, 50849, 51752, 50879, 51897, 63752, 56674, 50806, 50421, 51451, 79502, 57327, 69126, 51451, 50892, 51256, 50805, 51596, 58530, 51179, 53683, 63358, 55868, 61536, 51229, 62663, 54684, 50927, 50983, 51229, 51496, 51256, 51274, 53320, 51364, 59640, 50817, 51614, 54454, 51440, 52382, 51515, 54454, 50850, 51029, 50872, 51029, 52789, 53753, 50433, 51322, 50983, 50848, 51029, 51570, 67902, 53421, 58883, 51322, 50889, 51256, 50807, 52182, 50879, 53316, 52100, 65810, 64061, 50896, 50451, 51229, 55541, 57024, 53124, 56867, 53796, 50839, 56032, 50870, 53206, 56603, 50816, 50839, 50799, 51322, 50901, 51256, 50849, 52182, 53734, 54285, 61597, 55868, 59413, 51229, 62033, 56111, 65340, 51229, 50873, 51256, 50873, 54809, 50879, 51897, 63752, 56674, 50806, 50421, 51322, 50937, 50848, 57327, 65648, 51322, 50849, 74602, 57624, 53417, 52240, 53683, 61597, 55868, 61536, 51229, 50865, 50850, 54684, 70429, 51229, 50805, 51256, 50805, 53124, 51343, 51897, 62237, 56674, 69988, 51322, 69912, 50936, 53357, 51013, 51451, 50807, 51256, 51016, 65986, 50817, 51774, 50918, 51440, 51077, 51515, 50918, 50885, 58602, 52901, 52121, 50439, 51229, 51055, 50850, 51072, 51180, 52772, 59372, 51229, 51013, 51256, 59451, 51625, 51179, 62372, 64061, 50896, 50451, 51451, 51157, 70385, 51453, 55053, 50801, 50834, 52354, 50800, 51451, 50901, 74602, 51479, 62061, 55868, 59413, 51229, 65292, 56111, 67518, 51229, 50879, 51256, 72072, 50829, 52327, 51014, 51607, 56754, 56674, 50806, 50421, 51451, 79502, 50936, 50422, 51669, 56667, 69126, 51451, 50845, 51256, 50849, 53316, 52240, 72084, 55868, 61536, 51229, 50938, 51607, 61267, 54684, 50945, 51343, 51229, 51496, 51256, 51343, 58805, 50817, 51440, 51527, 52327, 51870, 50850, 51029, 50872, 51029, 50433, 51451, 51364, 50885, 51029, 51570, 67902, 53421, 51451, 50914, 51256, 50807, 58070, 53683, 63358, 64061, 50896, 50451, 51229, 71778, 57024, 50816, 53796, 50834, 56032, 50870, 53206, 56172, 50816, 50820, 53870, 50830, 51451, 50901, 51256, 50849, 51479, 50818, 51515, 50890, 51607, 51552, 50885, 55868, 59413, 51229, 50937, 51434, 60787, 56111, 51229, 50849, 51256, 50873, 51897, 63752, 56674, 50806, 50421, 51451, 50937, 51515, 51158, 50885, 57327, 59372, 51451, 50849, 51256, 54397, 51179, 53683, 63358, 55868, 61536, 51229, 50865, 51614, 60787, 54684, 64584, 51229, 50795, 51256, 50805, 59640, 50883, 51944, 69504, 56674, 69988, 51451, 50938, 51434, 78769, 50936, 53357, 51013, 51451, 51013, 51256, 51016, 51479, 50884, 51515, 51795, 50885, 58602, 53985, 51264, 52945, 51264, 52689, 51264, 50439, 51229, 51055, 50850, 51072, 50440, 50630, 51180, 52772, 64628, 51229, 51013, 51256, 59451, 51625, 51179, 62372, 64061, 50896, 50451, 51451, 51157, 70385, 50456, 57624, 50893, 51970, 62190, 50834, 52354, 50859, 51451, 50901, 74602, 52155, 50879, 51479, 62061, 55868, 59413, 51229, 65292, 56111, 59372, 51229, 50879, 51256, 50849, 51752, 50879, 51897, 59588, 56674, 50806, 50421, 51451, 50917, 50885, 57327, 69126, 51451, 50892, 51256, 50805, 51596, 50893, 53316, 52240, 72084, 55868, 61536, 51229, 62663, 54684, 51096, 50983, 51408, 51274, 51256, 51274, 53320, 51013, 58805, 50817, 51515, 54527, 51614, 54454, 50939, 51029, 50872, 51029, 53853, 53753, 52789, 53753, 54775, 53753, 50433, 51322, 50983, 50848, 51029, 51570, 50818, 53985, 51264, 52888, 51264, 53391, 51264, 50444, 52182, 53734, 53421, 73834, 51322, 50914, 51256, 50807, 52182, 58530, 51179, 53404, 61597, 64061, 50896, 50451, 51408, 72150, 57024, 53124, 57321, 53796, 50834, 56032, 55397, 51096, 55508, 56603, 50816, 50839, 53596, 50893, 51322, 50901, 51256, 50849, 52182, 50893, 51479, 66141, 55868, 59413, 51408, 50917, 50939, 56111, 77675, 51408, 50849, 51256, 50873, 53320, 50879, 51897, 66848, 56674, 50806, 50421, 51322, 50937, 50848, 57327, 51322, 50849, 74602, 52182, 50879, 53316, 52240, 65810, 55868, 61536, 51408, 50865, 50939, 54684, 78144, 51408, 50795, 51256, 50805, 53124, 50893, 59640, 67515, 56674, 69988, 51322, 69912, 50936, 56107, 50807, 51451, 50807, 51366, 51016, 53320, 50893, 65986, 63358, 59568, 50824, 53274, 53090, 53132, 53090, 52689, 53090, 52901, 55277, 53676, 55277, 52277, 52121, 50439, 51334, 51566, 50909, 51072, 50440, 50630, 50444, 52182, 51364, 59056, 51334, 51013, 51366, 50914, 50832, 53683, 50898, 64278, 66282, 50896, 50451, 51451, 51157 ]
[ 0, 250, 765, 15855, 8, 19834, 12, 5827, 15229, 11, 230, 538, 6, 4246, 10, 11739, 9, 3741, 27374, 594, 6, 13305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3023, 4360, 25999, 6, 8, 930, 2233, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 15352, 30054, 648, 2933, 8, 5679, 26709, 5466, 6, 10686, 13, 822, 2314, 4, 20, 2125, 16, 17407, 30, 5, 33215, 16739, 9, 211, 119, 406, 8, 272, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 64523, 50664, 50281, 60039, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 51050, 50833, 50664, 50281, 75396, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51247, 50890, 50664, 50281, 64599, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 51050, 50833, 50664, 50281, 50827, 54955, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 51050, 50833, 50664, 50281, 60952, 51247, 50858, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51214, 50858, 50664, 50281, 75396, 51085, 51879, 50297, 50855, 50660, 50277, 50811, 50664, 50281, 61800, 51026, 50855, 50664, 50281, 64599, 62784, 50661, 50279, 50803, 50664, 50281, 63652, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 50827, 53997, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 50997, 50855, 50664, 50281, 60039, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51234, 50858, 50664, 50281, 60952, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 50997, 50833, 50664, 50281, 75396, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51234, 50890, 50660, 50277, 50811, 50664, 50281, 64599, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 50997, 50833, 50660, 50277, 50803, 50664, 50281, 50827, 54662, 50858, 62784, 50661, 50279, 50803, 50664, 50281, 73616, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51214, 51879, 50302, 50855, 50660, 50277, 50811, 50664, 50281, 63444, 62784, 50664, 50281, 60952, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 51050, 50855, 50664, 50281, 64599, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 63652, 51247, 50858, 50664, 50281, 50827, 54795, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 51050, 50855, 50664, 50281, 60039, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 51050, 50833, 50664, 50281, 75396, 51247, 51879, 50299, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51214, 50890, 50664, 50281, 64599, 51085, 50858, 51050, 50833, 50660, 50277, 50803, 50664, 50281, 63652, 51026, 50833, 50664, 50281, 50827, 53975, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51234, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 50997, 50833, 50664, 50281, 60952, 62784, 50661, 50279, 50803, 50664, 50281, 52788, 51234, 50858, 50664, 50281, 75396, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 50997, 50855, 50664, 50281, 64599, 62784, 50661, 50279, 50803, 50664, 50281, 63652, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 50827, 53997, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 50997, 50855, 50660, 50277, 50811, 50661, 50279, 50840, 50664, 50281, 65127, 50661, 50279, 67937, 51234, 77242, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51085, 50858, 50661, 50279, 50803, 50664, 50281, 60952, 51214, 50858, 50997, 50833, 51414, 53090, 51457, 53090, 51231, 53002, 50660, 50277, 50803, 50664, 50281, 52788, 62784, 50664, 50281, 75396, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 64599, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 51050, 50833, 50664, 50281, 50827, 54955, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51247, 50890, 50664, 50281, 60039, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 51050, 50833, 50664, 50281, 60952, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 51050, 50855, 50664, 50281, 64599, 51247, 50858, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 63652, 51214, 50858, 50664, 50281, 50827, 53997, 50858, 51050, 50833, 51327, 53090, 51818, 53090, 50660, 50277, 50803, 50664, 50281, 73616, 51026, 50855, 50664, 50281, 60039, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 50997, 50833, 50664, 50281, 75396, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51234, 50890, 50664, 50281, 64599, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 50997, 50833, 50664, 50281, 50827, 53975, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51234, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 50997, 50833, 50660, 50277, 50803, 50664, 50281, 60952, 51234, 50858, 62784, 50661, 50279, 50803, 50664, 50281, 52788, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51214, 51879, 50302, 50855, 51457, 53363, 51414, 53090, 51231, 53002, 50660, 50277, 50811, 50664, 50281, 61800, 50900, 50855, 50664, 50281, 64599, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 63652, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 50827, 54795, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 51050, 50855, 50664, 50281, 60039, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51247, 50858, 50664, 50281, 60952, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 51050, 50833, 50664, 50281, 75396, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 64599, 51214, 50858, 51825, 51141, 50660, 50277, 50803, 50664, 50281, 63652, 51050, 50833, 50664, 50281, 50827, 54734, 50858, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51214, 50890, 50664, 50281, 60039, 51085, 51879, 50297, 50855, 51818, 53363, 51327, 53090, 50660, 50277, 50811, 50664, 50281, 63444, 51026, 50833, 50664, 50281, 60952, 62784, 50661, 50279, 50803, 50664, 50281, 52788, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 50997, 50855, 50664, 50281, 64599, 62784, 50661, 50279, 50803, 50664, 50281, 63652, 51234, 50858, 50664, 50281, 50827, 53997, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 50997, 50855, 50664, 50281, 60039, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51085, 50858, 51825, 51141, 50660, 50277, 50803, 50664, 50281, 52788, 50997, 50833, 50660, 50277, 50803, 50661, 50279, 50808, 50664, 50281, 75325, 50661, 50279, 73946, 51234, 77242, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51085, 50890, 50660, 50277, 50811, 50661, 50279, 50811, 50664, 50281, 64599, 51214, 50858, 50997, 50833, 51231, 52392, 51457, 53363, 51414, 53090, 50660, 50277, 50803, 50664, 50281, 63652, 62784, 50664, 50281, 50827, 54955, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 51050, 50833, 50664, 50281, 60952, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51247, 50858, 50664, 50281, 75396, 51214 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 19, 10, 2365, 8, 1619, 619, 6, 4246, 10, 20535, 2810, 6, 2382, 3459, 8669, 6, 21072, 6, 21979, 8669, 6, 8, 6755, 12547, 4, 20, 2214, 16, 11, 163, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 10, 182, 1769, 20889, 9, 28833, 163, 5683, 4, 20, 1049, 33215, 16739, 6, 163, 8, 274, 10431, 6, 35315, 5705, 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 ]	[ 65919, 53069, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 58099, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 58221, 52310, 50803, 52310, 50803, 53170, 50803, 53170, 57880, 52425, 50976, 52425, 50976, 54556, 50976, 54556, 50976, 50443, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 57795, 52489, 50860, 52489, 50860, 52747, 50860, 52747, 69502, 51913, 50860, 51913, 50860, 52002, 50860, 52002, 50860, 65919, 51205, 50824, 51357, 52096, 51395, 51492, 51600, 52122, 51284, 55856, 51076, 51109, 51549, 51073, 51786, 51162, 51788, 51775, 52310, 50802, 52310, 50802, 53170, 50802, 53170, 68117, 59608, 55880, 54681, 54399, 51111, 51715, 51369, 60387, 60342, 52310, 50860, 53170, 65644, 53210, 50976, 53210, 58595, 51546, 71639, 50859, 52165, 50821, 52110, 50810, 59319, 50976, 50672, 50334, 50976, 78634, 50892, 51076, 51142, 51549, 51051, 51786, 50933, 51788, 50933, 53717, 56192, 56010, 56010, 59603, 50381, 63599, 59418, 54154, 62792, 54399, 50803, 51076, 51056, 51549, 51566, 51786, 51159, 51788, 51775, 53717, 61705, 56247, 59603, 59186, 57503, 50857, 53915, 50823, 53915, 50823, 55883, 50823, 55883, 53925, 51105, 54774, 57384, 53716, 54756, 57052, 55864, 54989, 54399, 50795, 51076, 50907, 51549, 50827, 51786, 50827, 51788, 50874, 51340, 51586, 59608, 55880, 62120, 53424, 51014, 53424, 51014, 57146, 50860, 57146, 67976, 55883, 50952, 55883, 50952, 54343, 50860, 54343, 54554, 78794, 52110, 65123, 50882, 51546, 50803, 52165, 50803, 59319, 50976, 50672, 50334, 51388, 78634, 51212, 51076, 51025, 51549, 51073, 51786, 51162, 51788, 51412, 53717, 53243, 51858, 54756, 56662, 77293, 50381, 63599, 57812, 55577, 54399, 54262, 50565, 66926, 61391, 77293, 50381, 63599, 57812, 50855, 54798, 50824, 51076, 51025, 51549, 51157, 51786, 51346, 51788, 51025, 52963, 59453, 55864, 54507, 54399, 51060, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 51156, 54772, 57047, 53803, 51208, 50821, 51546, 50803, 52165, 50894, 52110, 50810, 59319, 51388, 50672, 50334, 51505, 78634, 51242, 51076, 50933, 51549, 50959, 51786, 50822, 51788, 51008, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 50926, 50565, 55702, 56010, 56010, 59603, 59186, 57812, 54937, 62792, 54399, 50823, 51076, 51377, 51549, 51227, 51786, 51112, 51788, 51363, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 50926, 50565, 62073, 61639, 59603, 50957, 50597, 57503, 54077, 71885, 52425, 50976, 52425, 50976, 54556, 50976, 54556, 65424, 57384, 56330, 54756, 57052, 57500, 54651, 54399, 51173, 51076, 51051, 51549, 50874, 51786, 50827, 51788, 50822, 52310, 50803, 52310, 50803, 53170, 50803, 53170, 51052, 61150, 54756, 57388, 54105, 78794, 52110, 66114, 50858, 51546, 50803, 52165, 50882, 59319, 50976, 50672, 50334, 51388, 78634, 50905, 51076, 51377, 51549, 51653, 51786, 51238, 51788, 51025, 52489, 50860, 52489, 50860, 52747, 50860, 52747, 50860, 53717, 53345, 52625, 63973, 56662, 77293, 50383, 63599, 60387, 54418, 54399, 50823, 51913, 50860, 51913, 50860, 52002, 50860, 52002, 50860, 53717, 59453, 66204, 59603, 50385, 63599, 57388, 50867, 54798, 50817, 51357, 50829, 51395, 50818, 51600, 50839, 51284, 51004, 51076, 50820, 51549, 50884, 51786, 50828, 51788, 50835, 52310, 50976, 52310, 50976, 53170, 50976, 53170, 50976, 53005, 59608, 55880, 68061, 51019, 50817, 51301, 52096, 51375, 51492, 51357, 52122, 51266, 55856, 50998, 51203, 51169, 51345, 51076, 51124, 51292, 51534, 50416, 51019, 68107, 51908, 51111, 51715, 51369, 60387, 65643, 52310, 50802, 53170, 52038, 51281, 50811, 51089, 50859, 51208, 50821, 51403, 50810, 53242, 50976, 54399, 50976, 60036, 50892, 50998, 51142, 51169, 51051, 51076, 50933, 51292, 50933, 53717, 56192, 56010, 56010, 59603, 50381, 63599, 59418, 50858, 53424, 51066, 53424, 63284, 62664, 51908, 77994, 51056, 51169, 51566, 51076, 51159, 51292, 51775, 53717, 61705, 56247, 59603, 59186, 57503, 50857, 57146, 50823, 57146, 53925, 51325, 54774, 57384, 53716, 54756, 57052, 55864, 67106, 55883, 51014, 55883, 51014, 54343, 50823, 54343, 55380, 51908, 50795, 50998, 50907, 51169, 50827, 71721, 72761, 51340, 51586, 59608, 55880, 59433, 57146, 50917, 57146, 50917, 58013, 50860, 58013, 54554, 51415, 50824, 51403, 50813, 51089, 50882, 77956, 50803, 53242, 50976, 54399, 51388, 60036, 51212, 50998, 51025, 51169, 51073, 51076, 51162, 51292, 51412, 53717, 53243, 51858, 54756, 56662, 77293, 50381, 63599, 57812, 55577, 51908, 54262, 50565, 66926, 61391, 77293, 50381, 63599, 57812, 50855, 53400, 50824, 50998, 51025, 51169, 51157, 51076, 51346, 51292, 51025, 52963, 59453, 55864, 54507, 51908, 51060, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 51156, 54772, 57047, 53803, 51089, 50821, 77956, 50894, 51403, 50810, 53242, 51388, 54399, 51505, 60036, 51242, 71590, 51169, 50959, 71720, 51292, 51008, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 50926, 50565, 55702, 56010, 56010, 59603, 59186, 57812, 66428, 52310, 50803, 52310, 50803, 53170, 50803, 53170, 52119, 62664, 51908, 50823, 50998, 51377, 51169, 51227, 51076, 51112, 51292, 51363, 53717, 62073, 61639, 59603, 50957, 50597, 57503, 54077, 51325, 50824, 52425, 50975, 54556, 70260, 57384, 56330, 54756, 57052, 57500, 54651, 51908, 51173, 50998, 51051, 73713, 71721, 51292, 50822, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 51156, 61150, 54756, 57388, 54105, 51415, 51072, 51403, 50855, 51089, 50858, 77956, 50882, 53242, 50976, 54399, 51388, 60036, 50905, 50998, 51377, 51169, 51653, 51076, 51238, 51292, 51025, 53717, 53345, 52625, 63973, 56662, 77293, 50383, 63599, 60387, 68523, 52489, 50860, 52747, 55273, 51908, 50823, 51913, 50860, 52002, 50860, 53717, 59453, 66204, 59603, 50385, 63599, 57388, 60870, 51011, 50817, 51113, 50829, 51488, 50818, 51266, 50839, 51284, 51004, 53870, 50817, 51105, 50817, 51105, 50817, 51205, 50824, 51426, 50829, 51491, 50818, 51113, 50839, 51426, 50829, 51491, 50818, 51113, 50839, 51395, 51004, 51357, 52096, 51395, 51492, 51600, 52122, 51284, 55856, 51136, 50820, 51078, 50884, 50947, 50828, 51549, 50835, 51076, 51109, 51549, 51073, 51786, 51162, 51788, 51775, 52310, 50802, 53170, 68117, 59608, 55880, 54681, 54399, 51111, 51715, 51369, 60387, 65643, 52310, 50860, 53170, 54675, 51546, 71639, 50859, 52165, 50821, 52110, 50810, 59319, 50976, 50672, 50334, 50976, 78634, 50892, 51076, 51142, 51549, 51051, 51786, 50933, 51788, 50933, 53717, 56192, 56010, 56010, 59603, 50381, 63599, 59418, 50858, 53210, 50976, 53210, 50976, 50431, 53915, 50860, 53915, 50860, 55883, 50860, 55883, 54684, 62792, 54399, 50803, 51076, 51056, 51549, 51566, 51786, 51159, 51788, 51775, 53717, 61705, 56247, 59603, 59186, 57503, 53891, 51105, 54774, 57384, 53716, 54756, 57052, 55864, 67106, 53424, 50923, 53424, 50923, 57146, 50976, 57146, 60815, 54399, 50795, 51076, 50907, 51549, 50827, 51786, 50827, 51788, 50874, 51340, 51586, 59608, 55880, 59433, 55883, 50938, 55883, 50938, 54343, 50860, 54343, 54554, 78794, 52110, 65123, 50882, 51546, 50803, 52165, 50803, 59319, 50976, 50672, 50334, 51388, 78634, 51212, 51076, 51025, 51549, 51073, 51786, 51162, 51788, 51412, 53717, 53243, 51858, 54756, 56662, 77293, 50381, 63599, 57812, 55577, 54399, 54262, 50565, 66926, 61391, 77293, 50381, 63599, 57812, 50855, 54798, 50824, 51076, 51025, 51549, 51157, 51786, 51346, 51788, 51025 ]
[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 2842, 9, 1619, 4780, 6, 4246, 13305, 6, 6755, 12547, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 32076, 8, 20425, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 19, 5, 33215, 16739, 211, 6, 83, 6, 381, 6, 83, 19983, 1328, 5, 2214, 6, 1271, 7, 63, 10132, 8, 33200, 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 ]	[ 57448, 50799, 51762, 51039, 50820, 51544, 72793, 52600, 50899, 50980, 71815, 51114, 51238, 50927, 51653, 50804, 50817, 51384, 79958, 50951, 51159, 51553, 50883, 51733, 51162, 50448, 50916, 51346, 50968, 51345, 51019, 51483, 50456, 50989, 52081, 50322, 51177, 51213, 51388, 51224, 50883, 52405, 51060, 50457, 50999, 51177, 56807, 51101, 50953, 51343, 51897, 57900, 51127, 51926, 51307, 51940, 50930, 54022, 51010, 50415, 51026, 53577, 50899, 52071, 50902, 51191, 51402, 50891, 51940, 50840, 54022, 54031, 50861, 52059, 51762, 51940, 50836, 54022, 50887, 51510, 50891, 51940, 50862, 54022, 68712, 50951, 51591, 51302, 74447, 51940, 50862, 54022, 60329, 51086, 51423, 50429, 51220, 76343, 51481, 51983, 57119, 51160, 51940, 50809, 52150, 50991, 58319, 51242, 71325, 50927, 55089, 51041, 53115, 51026, 51397, 51146, 64571, 51109, 50953, 51541, 71280, 53772, 50805, 54022, 51138, 68251, 76684, 51762, 51940, 50800, 54022, 53401, 51220, 51204, 51983, 51940, 50937, 54022, 58631, 51086, 51242, 54074, 53922, 50902, 51397, 50951, 51177, 50927, 51130, 50891, 54022, 51483, 60080, 57175, 50861, 50905, 73148, 50953, 51582, 50891, 54206, 52026, 50301, 52151, 51114, 51003, 71280, 52405, 51141, 52150, 51573, 65697, 51364, 50415, 50927, 51761, 51402, 63300, 50820, 51510, 52966, 50989, 50995, 54074, 50820, 51532, 53670, 50877, 62597, 50938, 51762, 51384, 50921, 57119, 50822, 53772, 50854, 52400, 59046, 72370, 51069, 52773, 51041, 50891, 51733, 50808, 51940, 50890, 56218, 52841, 50877, 51204, 50902, 65159, 51115, 51114, 51100, 50927, 51054, 71280, 52405, 50923, 52150, 50940, 50439, 65697, 51138, 51572, 62971, 56218, 62063, 50968, 50952, 51762, 51733, 50830, 51940, 53401, 50902, 50936, 51983, 51384, 51215, 53772, 50901, 52400, 61208, 50989, 51328, 51069, 53474, 51041, 60752, 56218, 51480, 50453, 50877, 51623, 50902, 69730, 51933, 50927, 51594, 50891, 51940, 51215, 50454, 51733, 51175, 51453, 54359, 51019, 50859, 51983, 56310, 51448, 51028, 51538, 71280, 51905, 51364, 57119, 50983, 51770, 51364, 50415, 51011, 51274, 51402, 53738, 50916, 51642, 51762, 51510, 52966, 51040, 51423, 54074, 50820, 51532, 62000, 51905, 50830, 51361, 50820, 51770, 50813, 57119, 59628, 50916, 60234, 59755, 51019, 53672, 51041, 50891, 51384, 50812, 53772, 51008, 52400, 53813, 51027, 51878, 50877, 51749, 71280, 51733, 51060, 52400, 50841, 56218, 51100, 51940, 50940, 50439, 50951, 51204, 51011, 51541, 51572, 62971, 53772, 54746, 50916, 51233, 51762, 51384, 50830, 52400, 53401, 50968, 51204, 51983, 51905, 50806, 51770, 50830, 57119, 51021, 51382, 51041, 55223, 51040, 60489, 51028, 51346, 51983, 51926, 51160, 54022, 51483, 60080, 51427, 50454, 51019, 53685, 50916, 51074, 73148, 51011, 50840, 51983, 50461, 52405, 51336, 52150, 51870, 65697, 51356, 54852, 51417, 51027, 51637, 50899, 51619, 50322, 50981, 74235, 51897, 58010, 52639, 50989, 51199, 50999, 51203, 54074, 53943, 51114, 51309, 50927, 64271, 52975, 70798, 51271, 50859, 51230, 52418, 55135, 50902, 50864, 51817, 50940, 51224, 53294, 75640, 51114, 51043, 50899, 60946, 51110, 51027, 51310, 54074, 50820, 51384, 51460, 50439, 51271, 51167, 50441, 51224, 53675, 50989, 51100, 51289, 55551, 50877, 51191, 50951, 51060, 50968, 60946, 50839, 68584, 55525, 60008, 50891, 51733, 51286, 50451, 50899, 51790, 50453, 50927, 68750, 50968, 50829, 51114, 51160, 50902, 50839, 52405, 51460, 50456, 51019, 53703, 52586, 60008, 62662, 50989, 78970, 51213, 50940, 51755, 51041, 57900, 50943, 51926, 51307, 50415, 51026, 52151, 50902, 53380, 50973, 50983, 50951, 51413, 50953, 51343, 54022, 51010, 51940, 50949, 51402, 70637, 51940, 50895, 54022, 50890, 51039, 50820, 51940, 69388, 54022, 71581, 50891, 51940, 50809, 54022, 53150, 51086, 51592, 54074, 50820, 51940, 50840, 54022, 74219, 50891, 52150, 50967, 57119, 51175, 58319, 51753, 71325, 50973, 51642, 50927, 54405, 51041, 53115, 50899, 51177, 68580, 71280, 53772, 50805, 54022, 51138, 68251, 68622, 51762, 51940, 50880, 54022, 55761, 50973, 50937, 51983, 51940, 50917, 54022, 50948, 50448, 50951, 50977, 56279, 51742, 54074, 53922, 50973, 51328, 51114, 50829, 50953, 51421, 62476, 50951, 51346, 54022, 51483, 60080, 51160, 51453, 57620, 50861, 59097, 51011, 51582, 56772, 52405, 50983, 56310, 52151, 50877, 73412, 50995, 71280, 65697, 51364, 52150, 51541, 50415, 50927, 51552, 51402, 63300, 50820, 51510, 52966, 50989, 52256, 54074, 50820, 51532, 53670, 50877, 51343, 51762, 51384, 50940, 53772, 50812, 52400, 59046, 50902, 51203, 51069, 53243, 51041, 50891, 51733, 50808, 56218, 50812, 51940, 53813, 50899, 51177, 50927, 51379, 71280, 52405, 50923, 52150, 50921, 65697, 51138, 50439, 51114, 51121, 51572, 62971, 51733, 54630, 50968, 51095, 50989, 51423, 51762, 56218, 50955, 51940, 58181, 50902, 51060, 77466, 51983, 51384, 50967, 53772, 50987, 52400, 50936, 56279, 50845, 54074, 53922, 79725, 50968, 51692, 51213, 50950, 51983, 53772, 51500, 54022, 50993, 60219, 62962, 51733, 70854, 50989, 50959, 73148, 50953, 51508, 50891, 56310, 51283, 50877, 51183, 50999, 51448, 51040, 51381, 51028, 51141, 51011, 51291, 71280, 51905, 51364, 57119, 51294, 52150, 51541, 51402, 63300, 50820, 51510, 50891, 80164, 55477, 50916, 51333, 51532, 62000, 51733, 59099, 51040, 50995, 51762, 51770, 50858, 51940, 69740, 51028, 51391, 51019, 54005, 51041, 50891, 52405, 51014, 52150, 50887, 52400, 52877, 51027, 51318, 50877, 52069, 50951, 51148, 51011, 51541, 71280, 51926, 50879, 51940, 50849, 54022, 50893, 68251, 50916, 51097, 51762, 52405, 50940, 52150, 50987, 52400, 50880, 51618, 50891, 51733, 50893, 51770, 51204, 51940, 50795, 50448, 50968, 51411, 51382, 51041, 55223, 51040, 50955, 50453, 51028, 51255, 51983, 51905, 51160, 52232, 51235, 50454, 73491, 51453, 54359, 51011, 50897, 51983, 50461, 51384, 51115, 56310, 51535, 50899, 51295, 50902, 51191, 51114, 51446, 71280, 52400, 51419, 51478, 51115, 50415, 50927, 51552, 51402, 63300, 50820, 51510, 52966, 50989, 76998, 52586, 58245, 50999, 50981, 50429, 71363, 50431, 52405, 50940, 52150, 51623, 50432, 51553, 65109, 50877, 51742, 51019, 56966, 51224, 50883, 51733, 50878, 50436, 51213, 52877, 51027, 51191, 50916, 51351, 51028, 50918, 50968, 51077, 55525, 60008, 50891, 52487, 51675, 51905, 57270, 51011, 51356, 65697, 51527, 56310, 53413, 50899, 53454, 50927, 51184, 55525, 60008, 50369, 51367, 51183, 69724, 51381, 50429, 50877, 51680, 57267, 53674, 50902, 51965, 50439, 50951, 51115, 57126, 51452, 51814, 50952, 50416, 50999, 58793, 51146, 75177, 51430, 52710, 51787, 75104, 51430, 52559, 51146, 59046, 51220, 52599, 50999, 56442, 51114, 60835, 50968, 54672, 50902, 51757, 50973, 58639, 50877, 52935, 50989, 53898, 50459, 50916, 50836, 54852, 51145, 51120, 51518, 50899, 51696, 57025, 51447, 50439, 50902, 51115, 60027, 50932, 58540, 50854, 51027, 51351, 51315, 51189, 51040, 50942, 50417, 50916, 50983, 57340, 51112, 50423, 50973, 57818, 51028, 51056, 51040, 63455, 50973, 51351, 63174, 51253, 50435, 50916, 59577, 51315, 51189, 51027, 51191, 50442, 50916, 50807, 50445, 80239, 50448, 50973, 57465, 51028, 51710, 50305, 50943, 50454, 50973, 50917, 50457, 50877, 57264, 50989, 50836, 57844, 51517, 50296, 51446, 50861, 51189, 51266, 51080, 50415, 50916, 51446, 51817, 51336, 64401, 51095, 50427, 51026, 51353, 50968, 68486, 50973, 67502, 51086 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 11, 230, 3694, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 22052, 6, 3459, 8669, 6, 9590, 6, 8, 1515, 21305, 4, 20, 15229, 7630, 6568, 10, 19448, 8, 5679, 26709, 5466, 19, 17878, 9, 15073, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 24536, 10, 33215, 16739, 9, 272, 6, 230, 119, 6, 272, 119, 406, 6, 211, 119, 406, 428, 245, 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 ]	[ 57448, 50876, 51671, 50931, 52071, 51147, 53142, 50964, 51391, 59610, 56599, 65574, 63309, 54884, 61017, 51607, 73840, 50365, 51937, 69572, 53004, 51270, 50365, 51937, 69572, 69803, 52580, 55321, 70298, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 50945, 68607, 70070, 59393, 52788, 50945, 51172, 53370, 51312, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 50964, 65849, 50365, 51937, 72126, 59393, 62970, 53733, 70652, 51383, 72126, 59393, 61243, 56833, 63309, 55435, 52222, 51096, 51003, 53949, 50905, 53733, 63309, 56648, 56599, 54511, 55490, 52327, 51896, 50801, 50365, 51937, 69572, 53004, 76242, 53511, 50972, 51270, 50365, 51937, 69572, 69803, 53591, 51028, 53950, 75032, 53370, 51642, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 76533, 59372, 55321, 50838, 51270, 70070, 59393, 52788, 51399, 51291, 50945, 51221, 53949, 54532, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 51096, 50812, 52327, 51238, 50801, 50365, 51937, 72126, 59393, 53176, 62536, 51383, 72126, 59393, 61243, 54924, 55586, 58943, 54573, 50702, 50298, 54573, 53975, 52071, 50964, 51204, 53949, 50977, 56648, 53486, 52257, 51894, 50801, 50365, 51937, 69572, 53004, 61496, 53511, 51058, 51270, 50365, 51937, 69572, 69803, 53591, 50968, 52450, 69084, 53370, 51277, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 63302, 76533, 63657, 55321, 50974, 51270, 70070, 59393, 52788, 50951, 51391, 51062, 51204, 50953, 51203, 53949, 51411, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 67599, 54924, 58307, 50365, 51937, 72126, 59393, 53176, 51383, 72126, 59393, 61243, 56490, 51000, 54578, 52025, 50945, 50889, 53370, 51447, 59610, 73728, 54884, 71620, 65574, 73728, 52043, 51896, 51836, 77598, 50365, 51937, 69572, 53004, 51270, 50365, 51937, 69572, 69803, 52580, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 77936, 61196, 51325, 64537, 70070, 59393, 53720, 51001, 53614, 71436, 69017, 53733, 52503, 52541, 64269, 50365, 52638, 69572, 55608, 50876, 54682, 69195, 64542, 50945, 52476, 50592, 69572, 54043, 61825, 51019, 59038, 67364, 50927, 50984, 51105, 50854, 51607, 52218, 50365, 51937, 72126, 59393, 55371, 50861, 51832, 51228, 54900, 50989, 51022, 51669, 52476, 50592, 72126, 59393, 54529, 70795, 54594, 51679, 50964, 51134, 52327, 51623, 51946, 51714, 50801, 50365, 51937, 69572, 53004, 51270, 50365, 51937, 69572, 69803, 52580, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 50871, 55100, 66457, 50861, 51269, 50945, 64537, 70070, 59393, 52788, 51019, 52218, 50365, 52638, 69572, 53086, 61197, 51451, 50952, 51383, 69572, 52989, 67518, 50945, 56029, 50365, 51937, 72126, 59393, 62970, 51451, 58045, 51105, 50827, 51019, 56838, 51228, 50838, 50927, 50907, 51451, 64491, 72126, 59393, 50827, 54197, 51878, 50964, 51204, 51515, 51204, 51256, 69026, 50365, 51937, 69572, 53004, 50900, 51391, 51270, 50365, 51937, 69572, 69803, 64560, 51366, 55797, 70836, 62144, 59621, 50365, 51610, 77341, 66622, 64274, 64274, 62763, 51209, 54056, 50876, 50974, 50431, 51256, 53911, 50965, 51852, 50964, 50844, 51929, 58678, 70070, 59393, 64520, 51674, 56509, 51315, 53577, 50945, 50915, 51607, 74749, 50365, 52638, 69572, 53086, 50916, 51961, 51383, 69572, 54043, 50965, 50972, 50449, 51209, 52843, 50876, 66223, 50365, 51937, 72126, 59393, 55371, 50965, 51387, 50454, 51408, 54166, 50964, 65442, 72126, 59393, 65241, 51674, 50855, 55435, 55490, 50953, 51097, 51773, 51294, 51590, 54874, 50365, 51937, 69572, 64936, 51334, 50942, 61683, 53866, 51408, 51490, 51270, 50365, 51937, 69572, 69803, 53591, 50871, 53866, 56207, 52980, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 51028, 53387, 63657, 52361, 70159, 70070, 59393, 53720, 50931, 52788, 51028, 53280, 50964, 51391, 52043, 50822, 52327, 70353, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 50801, 50365, 51937, 72126, 59393, 50827, 50452, 51408, 52485, 50964, 50854, 51334, 50378, 52272, 72126, 59393, 54529, 51934, 50887, 54955, 51627, 51096, 51241, 51607, 73841, 50365, 51937, 69572, 64936, 51334, 70628, 50997, 51542, 54569, 60138, 51108, 51270, 50365, 51937, 69572, 69803, 64560, 51408, 78768, 50861, 51534, 60564, 54754, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 50902, 58779, 51408, 58672, 51096, 50810, 52043, 64537, 70070, 59393, 64520, 51590, 50854, 51408, 57481, 51378, 51637, 51040, 53674, 50916, 53674, 50861, 52136, 51028, 51218, 63048, 51607, 51446, 51334, 51481, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 63107, 51408, 58238, 50964, 58679, 50365, 51937, 72126, 59393, 55371, 51547, 52485, 51209, 79913, 72126, 59393, 61243, 51408, 50892, 54197, 52519, 50964, 51391, 52327, 53305, 50365, 51937, 69572, 73616, 51674, 51115, 56440, 51203, 50965, 51116, 77195, 51270, 50365, 51937, 69572, 69803, 52580, 51836, 51267, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 77559, 50906, 53911, 63635, 51607, 64537, 70070, 59393, 62551, 52541, 51452, 63451, 53674, 50900, 52256, 50871, 52256, 50965, 52256, 50945, 51852, 54050, 62695, 50365, 52638, 69572, 53086, 51590, 58514, 69572, 63107, 51334, 57006, 50801, 50365, 51937, 72126, 59393, 50827, 50452, 51334, 55433, 50945, 50378, 52638, 72126, 59393, 63652, 51408, 50840, 53997, 51397, 50964, 50915, 51607, 51013, 51408, 56525, 50365, 51937, 69572, 53004, 50900, 51218, 51674, 68639, 50365, 51937, 69572, 69803, 63074, 52541, 50807, 51674, 50855, 53645, 51679, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 51209, 54860, 50965, 51645, 67599, 51515, 68195, 70070, 59393, 63221, 51209, 56509, 51360, 52598, 51228, 50807, 51607, 50983, 53064, 70812, 50365, 52638, 69572, 53086, 51040, 51542, 51383, 69572, 54043, 50871, 51074, 50449, 51256, 52800, 50801, 50365, 51937, 72126, 59393, 55371, 50965, 50907, 51366, 62802, 51996, 64713, 67558, 51228, 50859, 51256, 50845, 51383, 72126, 59393, 50827, 54868, 53866, 50927, 50915, 51607, 51013, 51946, 51486, 51674, 69237, 50365, 51937, 69572, 53004, 51027, 51592, 51209, 51412, 51270, 50365, 51937, 69572, 69803, 53591, 50899, 51333, 54439, 66223, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 60714, 52043, 64537, 70070, 59393, 53720, 50861, 52136, 59419, 54211, 50876, 52256, 58237, 52043, 69561, 50365, 52638, 69572, 75396, 51209, 60825, 69021, 51408, 79695, 69572, 52989, 50964, 59621, 50365, 51937, 72126, 59393, 62970, 52032, 51933, 51408, 53920, 51674, 50378, 52638, 72126, 59393, 54529, 51026, 52519, 55435, 54211, 50899, 51961, 50871, 51961, 50861, 58898, 50906, 51637, 50902, 51115, 50931, 51218, 50964, 51679, 51434, 51204, 51674, 56525, 50365, 51937, 69572, 53004, 51209, 51312, 51270, 50365, 51937, 69572, 69803, 52580, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 50964, 50822, 51607, 50859, 51256, 57287, 70070, 59393, 52788, 51378, 52136, 51040, 52136, 50916, 53577, 50945, 51172, 51607, 51351, 51836, 51562, 50801, 50365, 52638, 69572, 66143, 51256, 61255, 51366, 51775, 51383, 69572, 52989, 50861, 52511, 50314, 52104, 50317, 52511, 50320, 51074, 50964, 54874, 50365, 51937, 72126, 59393, 68926, 51209, 54622, 51383, 72126, 59393, 64224, 51256, 50933, 54197, 57232, 51176, 61017, 50900, 61017, 50964, 51310, 51515, 78811, 50365, 51937, 69572, 50827, 50416, 51209, 58879, 62094, 60256, 50951, 50374, 51937, 50365 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 765, 15229, 11, 230, 538, 7630, 6568, 10, 1472, 9, 9733, 8, 814, 4, 20, 12280, 3275, 1725, 3109, 6, 6168, 3540, 6, 8, 24896, 45552, 833, 7, 1045, 10, 13363, 28191, 33301, 6, 278, 136, 10, 11379, 9, 15073, 8, 9066, 2821, 16235, 4, 590, 10, 7212, 20889, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 30853, 19, 10, 9550, 11564, 6, 10346, 30, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 230, 6, 272, 6, 8, 274, 10431, 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 ]	[ 80054, 52249, 51066, 54019, 51066, 52292, 63398, 52142, 51066, 52795, 60920, 51951, 50817, 52740, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 52795, 51059, 52573, 62819, 54113, 51066, 52740, 63284, 52203, 55276, 52142, 50817, 52307, 51066, 52292, 51066, 50440, 54113, 54129, 52142, 50976, 51034, 51951, 51066, 52307, 51029, 53296, 62819, 52142, 51066, 52550, 64631, 54113, 51066, 52882, 51066, 55411, 51066, 51034, 52142, 50860, 52307, 51029, 53571, 58823, 51951, 54675, 52142, 54684, 54113, 55276, 52142, 50860, 52795, 51066, 59988, 63523, 51951, 50860, 51034, 52249, 51066, 54019, 51066, 53571, 63398, 52142, 51066, 52795, 73018, 51951, 50817, 55342, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 55061, 68107, 53602, 54675, 54113, 51066, 54019, 50860, 55342, 63284, 54650, 55276, 52142, 51066, 56496, 51066, 53571, 51066, 51034, 51951, 51066, 61513, 50860, 57354, 68107, 56496, 54675, 52142, 51066, 56496, 51066, 55411, 60920, 54113, 51066, 60856, 51066, 51034, 52142, 50817, 56496, 51407, 53571, 51066, 50416, 54113, 55265, 52142, 51407, 50426, 53249, 64631, 53571, 51066, 51034, 52249, 51066, 54019, 51066, 52292, 63398, 52142, 51066, 52795, 60920, 51951, 50817, 52740, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 52795, 51059, 52573, 62819, 54113, 51066, 52740, 63284, 52203, 55276, 52142, 50817, 52307, 51066, 52292, 51066, 50440, 54113, 54129, 52142, 50976, 51034, 51951, 51066, 52307, 51029, 53296, 62819, 52142, 51066, 52550, 64631, 54113, 51066, 52882, 51066, 55411, 51066, 51034, 52142, 50860, 52307, 51029, 53571, 58823, 51951, 54675, 52142, 54684, 54113, 55276, 52142, 50860, 52795, 51066, 59988, 63523, 51951, 50860, 51034, 52249, 51066, 54019, 51066, 53571, 63398, 52142, 51066, 52795, 73018, 51951, 50817, 55342, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 55061, 68107, 53602, 54675, 54113, 51066, 54019, 50860, 55342, 63284, 54650, 55276, 52142, 51066, 56496, 51066, 53571, 51066, 51034, 51951, 51066, 61513, 50860, 57354, 68107, 56496, 54675, 52142, 51066, 56496, 51066, 55411, 60920, 54113, 51066, 60856, 51066, 51034, 52142, 51059, 56496, 51407, 59988, 51407, 50432, 51951, 55276, 52142, 56059, 54113, 50860, 51034, 52780, 51066, 52614, 51066, 52292, 63398, 54113, 50817, 52203, 51066, 50428, 52780, 54396, 54113, 61147, 52142, 51066, 52307, 51066, 52292, 51066, 51034, 54113, 51066, 52203, 51066, 52292, 63398, 51951, 51066, 52795, 64631, 54113, 51066, 52203, 51066, 52740, 51066, 51034, 52142, 51066, 52307, 51066, 52292, 62819, 51951, 50817, 52795, 51066, 52740, 51066, 50428, 52142, 54396, 51951, 61147, 52249, 51066, 54577, 50860, 52573, 63523, 52494, 50860, 51034, 51951, 51066, 52882, 51066, 52550, 51407, 50426, 52130, 51066, 54650, 64631, 51951, 51066, 60856, 51066, 51034, 52249, 51066, 61513, 51066, 52550, 62819, 51951, 50860, 56496, 51066, 53895, 61511, 52249, 55276, 52130, 50860, 54650, 63523, 51967, 50860, 51034, 52130, 50860, 54650, 50860, 52550, 58823, 52249, 50860, 54019, 54675, 52130, 50860, 54650, 54684, 51967, 50860, 56496, 55276, 52130, 50860, 54650, 50860, 53296, 63523, 52064, 50860, 60856, 50860, 51034, 52249, 51029, 56496, 50860, 53249, 56111, 52494, 50860, 53296, 54675, 52795, 50860, 53249, 54684, 53602, 50860, 53029, 55276, 52249, 50817, 52795, 50860, 53249, 74164, 51951, 54129, 52249, 52940, 52130, 50811, 54019, 50860, 53571, 61443, 52249, 50811, 51034, 51951, 51059, 54650, 50860, 55342, 56111, 54019, 50860, 53571, 54675, 54650, 50860, 55342, 54684, 52142, 50860, 56496, 50860, 55061, 55276, 51951, 50860, 54650, 50860, 55342, 56059, 54113, 50860, 60856, 50860, 55411, 50860, 51034, 52142, 50817, 56496, 51066, 53571, 50860, 50416, 54113, 55265, 51951, 63853, 57354, 54675, 51951, 50817, 56496, 51066, 55411, 51029, 50428, 52142, 54396, 51951, 60920, 60856, 51066, 51034, 52249, 50860, 56496, 51029, 53571, 51407, 50420, 52130, 54675, 52249, 54684, 51951, 55276, 52142, 50860, 52795, 63523, 54113, 50860, 51034, 52780, 51066, 52614, 51066, 52292, 63398, 54113, 50817, 52203, 51066, 50428, 52780, 54396, 54113, 61147, 52142, 51066, 52307, 51066, 52292, 51066, 51034, 54113, 51066, 52203, 51066, 52292, 63398, 51951, 51066, 52795, 64631, 54113, 51066, 52203, 51066, 52740, 51066, 51034, 52142, 51066, 52307, 51066, 52292, 62819, 51951, 50817, 52795, 51066, 52740, 51066, 50428, 52142, 54396, 51951, 61147, 52249, 51066, 54577, 50860, 52573, 63523, 52494, 50860, 51034, 51951, 51066, 52882, 51066, 52550, 51407, 50426, 52130, 51066, 54650, 64631, 51951, 51066, 60856, 51066, 51034, 52249, 51066, 61513, 51066, 52550, 62819, 51951, 50860, 56496, 51066, 53895, 61511, 52249, 55276, 52130, 50860, 54650, 63523, 51967, 50860, 51034, 52130, 50860, 54650, 50860, 52550, 58823, 52249, 50860, 54019, 54675, 52130, 50860, 54650, 54684, 51967, 50860, 56496, 55276, 52130, 50860, 54650, 50860, 53296, 63523, 52064, 50860, 60856, 50860, 51034, 52249, 51029, 56496, 50860, 53249, 56111, 52494, 50860, 53296, 54675, 52795, 50860, 53249, 54684, 53602, 50860, 53029, 55276, 52249, 50817, 52795, 50860, 53249, 74164, 51951, 54129, 52130, 56059, 54019, 50860, 53571, 61443, 52249, 50811, 51034, 51951, 51059, 54650, 50860, 55342, 56111, 54019, 50860, 53571, 54675, 54650, 50860, 55342, 54684, 52142, 50860, 56496, 50860, 55061, 55276, 51951, 50860, 54650, 50860, 55342, 56059, 54113, 50860, 60856, 50860, 55411, 50860, 51034, 52142, 50817, 56496, 51066, 53571, 50860, 50416, 54113, 55265, 51951, 63853, 57354, 54675, 51951, 51029, 56496, 51066, 55411, 60920, 60856, 51066, 51034, 52249, 50860, 54019, 51066, 53571, 68107, 51951, 54675, 52130, 50860, 53602, 51066, 53029, 63284, 52249, 55276, 52249, 50860, 52795, 51066, 53249, 63523, 52130, 55059, 52249, 50811, 51034, 51951, 50860, 52494, 50860, 53296, 56111, 52142, 50860, 52795, 50860, 52550, 54675, 52249, 50860, 53602, 50860, 52573, 63284, 52142, 50860, 52795, 55276, 51951, 50860, 52795, 51029, 52740, 63523, 52142, 55059, 54113, 50811, 51034, 52142, 50860, 52292, 56111, 51951, 50817, 52494, 50860, 53296, 63541, 52142, 53578, 54113, 60517, 51951, 52038, 50626, 52307, 51066, 52550, 63284, 52142, 55276, 50625, 51951, 50811, 52882, 51066, 55411, 51066, 50441, 52142, 52940, 51951, 55059, 52249, 50811, 51034, 50624, 52249, 51407, 52307, 51407, 53571, 51407, 77718, 50438, 50623, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12298, 15855, 2125, 19, 11057, 16882, 6, 42, 765, 2214, 1931, 21683, 1619, 9450, 149, 63, 1372, 34879, 4, 2595, 10312, 30, 41, 12547, 9, 13305, 6, 17691, 28430, 6, 2020, 3548, 6, 326, 5638, 18026, 6, 8, 31391, 1672, 9590, 6, 24, 11498, 10, 20902, 27841, 3006, 11332, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 24, 1575, 10, 33215, 13931, 9, 2060, 119, 6, 272, 119, 6, 230, 119, 406, 6, 274, 119, 406, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50645, 50903, 76660, 51003, 60859, 50932, 50422, 51947, 51091, 51968, 51091, 52377, 51226, 51768, 76660, 50932, 51968, 50849, 51866, 50849, 52194, 51798, 50903, 51003, 51968, 51060, 51866, 51060, 54006, 51173, 55609, 51091, 61237, 51022, 51248, 52054, 50810, 51503, 51255, 78317, 50984, 52131, 50822, 55627, 64936, 51891, 50854, 51866, 51264, 52194, 51264, 53397, 51696, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 50904, 52131, 51126, 78317, 50870, 51891, 58608, 52066, 63370, 69561, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 52131, 67941, 51891, 52800, 52068, 68526, 50956, 57035, 50910, 75729, 51891, 50813, 55627, 50904, 52131, 50904, 78317, 73706, 52066, 52814, 56834, 78317, 51252, 55609, 51091, 79029, 51503, 51351, 55627, 51252, 52131, 50971, 51891, 65643, 52173, 51852, 50423, 51947, 51091, 51968, 51091, 52377, 51362, 51544, 64312, 50942, 50956, 57035, 63748, 50925, 55627, 50864, 51891, 50828, 54063, 50987, 50427, 78317, 50870, 52131, 56512, 52066, 52857, 51074, 63370, 67839, 57546, 51197, 51003, 54063, 50974, 50439, 78317, 50971, 55627, 50941, 52131, 50867, 51891, 50862, 51968, 50901, 51866, 50901, 52194, 72143, 52814, 50864, 52624, 50972, 51955, 62445, 50900, 52434, 50307, 50955, 50871, 71901, 50937, 52131, 51126, 78317, 50941, 55627, 50941, 50451, 51891, 50862, 52933, 51797, 51968, 51101, 51866, 51101, 54006, 51121, 50458, 52066, 52814, 57490, 51802, 50827, 55609, 51204, 79029, 51503, 51255, 78317, 50984, 52131, 50822, 55627, 64936, 51891, 50854, 51866, 51353, 52194, 51353, 53397, 51307, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 50904, 52131, 51126, 78317, 50870, 51891, 58608, 52066, 55545, 68393, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 52131, 67941, 51891, 52800, 52068, 68526, 50956, 57035, 50910, 75729, 51891, 50813, 55627, 50904, 52131, 50904, 78317, 73706, 52066, 52814, 56834, 78317, 51252, 55609, 51191, 79029, 51503, 51351, 55627, 51252, 52131, 50971, 51891, 56133, 51947, 51294, 51968, 51294, 52377, 51226, 51544, 64312, 50942, 50956, 57035, 63748, 50925, 55627, 50864, 51891, 50828, 57501, 51535, 50427, 78317, 50870, 52131, 56512, 52066, 55545, 68393, 57546, 51197, 51003, 50439, 78317, 50971, 55627, 50941, 52131, 50867, 51891, 50862, 51968, 50987, 51866, 50987, 52194, 50937, 50446, 52814, 50864, 70775, 51051, 50449, 57501, 51142, 51955, 62445, 50900, 52434, 50307, 50955, 50871, 71901, 50937, 52131, 51126, 78317, 50941, 55627, 50941, 50451, 51891, 50862, 51968, 50938, 51866, 50938, 54006, 50924, 50452, 55915, 51174, 50458, 52066, 52814, 50867, 55609, 51204, 79029, 51503, 51255, 78317, 50984, 52131, 50822, 55627, 64936, 51891, 50854, 50416, 51866, 51413, 52194, 51413, 53397, 51291, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 50904, 52131, 51126, 78317, 50870, 51891, 58608, 52066, 55545, 68393, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 52131, 67941, 51891, 50813, 51968, 51115, 51866, 51115, 52194, 69830, 52068, 68526, 50956, 57035, 50910, 75729, 51891, 50813, 55627, 50904, 52131, 50904, 78317, 73706, 52066, 52814, 56834, 78317, 51252, 55609, 51191, 79029, 51503, 51351, 55627, 51252, 52131, 50971, 51891, 79171, 51947, 51218, 51968, 51218, 52377, 50983, 50421, 52173, 51852, 51544, 64312, 50942, 50956, 57035, 63748, 50925, 55627, 50864, 51891, 50828, 54063, 50987, 50427, 78317, 50870, 52131, 56512, 52066, 52857, 51074, 55545, 68393, 57546, 51197, 51003, 54063, 50974, 50439, 78317, 50971, 55627, 50941, 52131, 50867, 51891, 67635, 51968, 50983, 51866, 50983, 52194, 51343, 50446, 52814, 50864, 52624, 50972, 51955, 62445, 50900, 52434, 50307, 50955, 50871, 71901, 50937, 52131, 51126, 78317, 50941, 55627, 50941, 50451, 51891, 50862, 52933, 51797, 50458, 52066, 52814, 57490, 51802, 64224, 52701, 52045, 51702, 52045, 52178, 54484, 54983, 51191, 79029, 51234, 51255, 73541, 51365, 52814, 51058, 53937, 50933, 50415, 53416, 63980, 52186, 51058, 51544, 50810, 51176, 50942, 73766, 51040, 50897, 50871, 50937, 52549, 51481, 50427, 53937, 50851, 52814, 50864, 53416, 50833, 73541, 70301, 52066, 51802, 51254, 55511, 53305, 57546, 51247, 51351, 53937, 51376, 73541, 51524, 52814, 51051, 55360, 51534, 50440, 53416, 71095, 52624, 72887, 52068, 51176, 50925, 50997, 80021, 50910, 70252, 53937, 50912, 51802, 51534, 50451, 52814, 50874, 73541, 51319, 53416, 63181, 52066, 52549, 51008, 54293, 51141, 79029, 52046, 51255, 69422, 51365, 51707, 51058, 53937, 50933, 52549, 62833, 53416, 50878, 50421, 52549, 50892, 51544, 50810, 51026, 50942, 73766, 51040, 50897, 50871, 50937, 51784, 51470, 50427, 53937, 50851, 51707, 50864, 53416, 50833, 69422, 57378, 52549, 68232, 52066, 55511, 68393, 57546, 51234, 51351, 53937, 51376, 69422, 51524, 51707, 51051, 51784, 54298, 50439, 52701, 50893, 51866, 50893, 52194, 50911, 50440, 53416, 71703, 52186, 51172, 53526, 51022, 51955, 53119, 59280, 51026, 50925, 50997, 80021, 50910, 70252, 53937, 75030, 51707, 50874, 69422, 51319, 53416, 50854, 52701, 51233, 51866, 51233, 52178, 51194, 50458, 52066, 55609, 51141, 79029, 51503, 51255, 78317, 51000, 52131, 50874, 55627, 50904, 51891, 64982, 51947, 51591, 51968, 51591, 52377, 51358, 50422, 55915, 51534, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 51000, 52131, 50837, 51891, 50836, 78317, 71879, 53993, 62743, 52066, 55360, 51254, 63370, 68393, 57546, 51197, 51351, 78317, 51319, 55627, 51000, 52131, 50941, 52857, 51481, 50439, 51891, 58171, 52933, 60649, 52068, 68526, 50956, 57035, 50910, 75729, 52131, 50864, 55627, 50941, 51802, 52482, 50451, 78317, 50928, 51891, 50855, 51947, 50892, 51968, 50892, 52377, 73119, 52066, 52173, 51008, 55609, 51191, 79029, 51503, 51255, 78317, 50984, 53154, 50822, 55627, 64936, 51891, 50854, 51968, 50983, 52698, 50983, 52194, 51274, 51544, 64312, 50942, 71430, 50989, 50897, 50906, 70846, 55627, 50904, 53154, 51126, 78317, 50870, 51891, 58608, 52066, 56618, 53305, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 53154, 67941, 51891, 62384, 52698, 50967, 52194, 50967, 53397, 51167, 51955, 62445, 68526, 50956, 63772, 50910, 66734, 51891, 50813, 55627, 50904, 53154, 50904, 78317, 79626, 52698, 50795, 52194, 50795, 53397, 75642, 52066, 52391, 50825, 63065, 51141, 79029, 51360, 51255, 72573, 51365, 52391, 51058, 54136, 50933, 50415, 52879, 50878, 50416, 51702, 50983, 52377, 50983, 53397, 51274, 51544, 76869, 50942, 51040, 60094, 50897, 50965, 70846, 54136, 50851, 52391, 50864, 52879, 50833, 72573, 70301, 52066, 50435, 51702, 51623, 52377, 51991, 54006, 52392, 51272, 50300, 68393, 57546, 51503, 51351, 54136, 51376, 72573, 51524, 52391, 51051, 50440, 52879, 54823, 52068, 50997, 50925, 51040, 57035, 50910, 75729, 54136, 75030, 52391, 50874, 72573, 51319, 52879, 63181, 52066, 63065, 51191, 79029, 51360, 51255, 72573, 51000, 54136, 50941, 52391, 50874, 52384, 51204, 50415, 52850, 50941, 52824, 51337, 50423, 52926, 51006, 51544, 76869, 50942, 51040, 50844, 70489, 50965, 70846, 54136, 50941, 52391, 50904, 72573, 51000, 52850, 59062, 52066, 52824, 51277, 56618, 69561, 57546, 51503, 51351, 72573, 50984, 50439, 52391, 50827, 54136, 50907, 52926, 51753, 52384, 50795, 52377, 50795, 52194, 50806, 50440, 52850, 50886, 53526, 65932, 54246, 50972, 51955, 53119, 59280, 50997 ]
[ 0, 713, 8787, 3152, 8, 5175, 24904, 2125, 6, 278, 11, 230, 538, 6, 30853, 23, 10, 2635, 20889, 9, 7004, 13410, 228, 2289, 4, 6208, 38645, 8, 3459, 29589, 6, 3741, 27374, 594, 6, 6755, 12547, 6, 8, 13305, 35810, 561, 7, 1045, 10, 5797, 990, 1506, 9, 2933, 8, 15352, 30054, 23225, 6, 19, 12577, 17878, 9, 11098, 6, 657, 6, 8, 26545, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 6942, 9, 5, 272, 6, 272, 119, 1176, 406, 6, 272, 406, 6, 8, 12608, 73, 534, 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 ]	[ 57448, 50456, 51725, 52136, 51207, 52136, 50986, 52136, 50929, 52136, 51032, 52136, 54272, 74899, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 57524, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 55659, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 59837, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 56989, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 59435, 51451, 52382, 51209, 52382, 51590, 52382, 51725, 52136, 51207, 52136, 50986, 52136, 50929, 52136, 51076, 52136, 54272, 74899, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 57524, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 55659, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 59837, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 56989, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 59435, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 51074, 50799, 53046, 51605, 51725, 53588, 51133, 51795, 50426, 52000, 50795, 51366, 50795, 51408, 50795, 51246, 51074, 73903, 51064, 57524, 52000, 50795, 51366, 50795, 51408, 50795, 51246, 51074, 73903, 51064, 55659, 52000, 50795, 51366, 50795, 51674, 50795, 51246, 51074, 73903, 51169, 59837, 52000, 50807, 51366, 50807, 51209, 50807, 51246, 51333, 50998, 51333, 50929, 69173, 53046, 51161, 53008, 51161, 51451, 51161, 51772, 51161, 51674, 51161, 50986, 52136, 51136, 52136, 51169, 52136, 51725, 52528, 51133, 51352, 55746, 72641, 51136, 51074, 51169, 57524, 72641, 51136, 51074, 51169, 55659, 72641, 51136, 51074, 51169, 59837, 53046, 50795, 51725, 51074, 51133, 52175, 53046, 50795, 51725, 56515, 51133, 52325, 53046, 51036, 51830, 50807, 51322, 50807, 51207, 51333, 50960, 51333, 50964, 51184, 52591, 51830, 50795, 51366, 50795, 51207, 51074, 73903, 50929, 55752, 51830, 51358, 51366, 51358, 51209, 51358, 51229, 51358, 51207, 51074, 73903, 50929, 57524, 51207, 51333, 50998, 51333, 50929, 51333, 50947, 67302, 51207, 51074, 73903, 78445, 50947, 56989, 51207, 51074, 73903, 78445, 50947, 59435, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51074, 51207, 51074, 72641, 78445, 51133, 50824, 63133, 51074, 51207, 51074, 72641, 50929, 63961, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51185, 50824, 51725, 51074, 51207, 51074, 72641, 78445, 51133, 54107, 51725, 51074, 51207, 51074, 72641, 50929, 57524, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51530, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 53681, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 54098, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 50807, 51118, 50824, 51020, 50824, 51023, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 50824, 52591, 52286, 50795, 53008, 50795, 51322, 50795, 71057, 52159, 50802, 71268, 51092, 50802, 51185, 50802, 51504, 51074, 51846, 51074, 71657, 78445, 53926, 54107, 52286, 51358, 53008, 51358, 51322, 51358, 51209, 51358, 52159, 51407, 51061, 51407, 51092, 51407, 51185, 51407, 51504, 51333, 51846, 51333, 50960, 51333, 50929, 67995, 53926, 58769, 51504, 51074, 51846, 51074, 71657, 50929, 59837, 51504, 51074, 51846, 51074, 71657, 50970, 56989, 51504, 51074, 51846, 51074, 50960, 59435, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 50824, 52591, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51185, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 53566, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51530, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 53681, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 54098, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 50807, 51118, 50824, 51020, 50824, 51023, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 50824, 52591, 52286, 50795, 53008, 50795, 51322, 50795, 71057, 52159, 50802, 71268, 51092, 50802, 51185, 50802, 51504, 51074, 51846, 51074, 71657, 78445, 53926, 51407, 50426, 52286, 50807, 53008, 50807, 51322, 50807, 51209, 50807, 52159, 51009, 51061, 51009, 51092, 51009, 51185, 51009, 51504, 51333, 51846, 51333, 50960, 51333, 50929, 65461, 52286, 50795, 53008, 50795, 51322, 50795, 71057, 51504, 51074, 51846, 51074, 71657, 50929, 59837, 52286, 50795, 53008, 50795, 51322, 50795, 74602, 51504, 51074, 51846, 51074, 71657, 50970, 56989, 51917, 50795, 74602, 51590, 50795, 52031, 50795, 79208, 50970, 51074, 51076, 51074, 51549, 51074, 51133, 52325, 51451, 51036, 51366, 51036, 51408, 51036, 51390, 51036, 50986, 52136, 50998, 52136, 51064, 52136, 51067, 52136, 51133, 52442, 55746, 50986, 51333, 50998, 51333, 51064, 51333, 51067, 65461, 72641, 73903, 51064, 51074, 51067, 59837, 72641, 73903, 51064, 51074, 51067, 56989, 72641, 73903, 51064, 51074, 51067, 59435, 51772, 51036, 51209, 51036, 51408, 51036, 51390, 51036, 51136, 52136, 50929, 52136, 51064, 52136, 51067, 52136, 55746, 51136, 51333, 50929, 51333, 51064, 51333, 51067, 65461, 51136, 51074, 78445, 51064, 51074, 51067, 59837, 51136, 51074, 78445, 51064, 51074, 51067, 56989, 51136, 51074, 78445, 51064, 51074, 51067, 59435, 52000, 50807, 51334, 50807, 51246, 51333, 50986, 51333, 50970, 51333, 51032, 51333, 52591, 51664, 50807, 51334, 50807, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67995, 52286, 50918, 51334, 50918, 51504, 51333, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67302, 51131, 51074, 72641, 50970, 56989, 72641, 50970, 51074, 51032, 59435, 52000, 50807, 51334, 50807, 51246, 51333, 50986, 51333, 50970, 51333, 51032, 51333, 52591, 51664, 50807, 51334, 50807, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67995, 52286, 50795, 77958, 51504, 51074, 51131, 51074, 72641, 50970, 51074, 51032, 55659, 51664, 50795, 77958, 51131, 51074, 72641, 50970, 59837, 52000, 50795, 77958, 72641, 50970, 51074, 51032, 56989, 51917, 50795, 74602, 51590, 50795, 52031, 50795, 79208, 50970, 51074, 51076, 51074, 51549, 59435, 51451, 51036, 51366, 51036, 51408, 51036, 51390, 51036, 50986, 52136, 50998, 52136, 51064, 52136, 51067, 52136, 55746, 50986, 51333, 50998, 51333, 51064, 51333, 51067, 65461, 72641, 73903, 51064, 51074, 51067, 59837, 72641, 73903, 51064, 56989, 72641, 73903, 51064, 51074, 51067, 59435, 51772, 51036, 51209, 51036, 51408, 51036, 51390, 51036, 51136, 51333, 50929, 51333, 51064, 51333, 51067, 51333, 52591, 51136, 51074, 78445, 51064, 51074, 51067, 55752, 51136, 51333, 50929, 51333, 51064, 51333, 51067, 65461, 51136, 51074, 78445, 51064, 51074, 51067, 59837, 51136, 51074, 78445, 51064, 51074, 51067, 56989, 51136, 51074, 78445, 51064, 51074, 51067, 59435, 52000, 50807, 51334, 50807, 51246, 51333, 50986, 51333, 50970, 51333, 51032, 51333, 52591, 51664, 50807, 51334, 50807, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67995, 52286, 50918, 51334, 50918, 51504, 51333, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67302, 51131, 51074, 72641, 50970 ]
[ 0, 250, 2635, 12, 20764, 5175, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 15352, 30054, 38668, 483, 7513, 30, 13305, 6, 21979, 9590, 6, 2724, 368, 31365, 25999, 6, 8, 21072, 4, 20, 2125, 16, 11, 5, 762, 9, 12608, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 2270, 33215, 16739, 10726, 9, 163, 119, 1176, 406, 6, 211, 119, 401, 6, 8, 12608, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 50430, 51176, 51961, 50965, 51381, 50973, 51419, 50989, 52256, 50438, 51001, 51212, 50446, 51028, 51679, 50997, 56374, 50965, 51381, 50906, 51542, 50454, 50968, 51277, 57190, 51309, 50877, 51642, 51028, 51642, 51086, 51679, 50421, 50989, 51277, 50973, 51277, 51001, 51309, 50429, 51841, 52256, 51315, 52256, 50989, 51542, 50965, 51542, 50973, 51381, 50437, 50916, 51277, 50445, 51247, 51381, 51050, 51381, 51086, 51679, 50956, 52256, 50871, 51391, 50965, 51542, 50461, 51841, 51679, 51315, 51679, 51086, 51381, 50956, 52256, 50965, 51542, 50973, 51542, 75695, 52046, 55844, 51040, 57820, 50429, 51197, 55844, 50956, 57820, 51357, 53233, 51088, 53233, 51395, 53233, 52481, 54249, 51794, 53233, 79580, 54143, 50431, 50973, 53753, 50796, 50443, 51197, 51187, 53325, 51503, 51016, 52261, 50447, 50956, 52297, 50310, 79981, 52297, 50315, 51013, 51970, 50448, 51762, 50451, 51970, 50452, 52105, 50455, 51970, 51453, 54625, 51503, 50841, 64350, 65110, 58841, 52759, 51235, 51360, 51226, 51471, 51601, 74303, 51040, 58750, 52297, 50315, 51016, 70416, 51003, 51960, 50416, 51762, 50419, 52008, 51039, 56818, 51983, 50424, 51762, 50425, 60656, 51360, 51044, 57334, 61778, 63692, 51378, 51958, 50286, 51226, 51762, 50430, 50916, 51157, 50965, 56793, 52530, 50317, 51016, 57806, 51194, 52008, 51361, 56565, 52008, 50436, 52105, 51570, 50908, 50440, 52105, 50442, 51378, 53333, 53594, 51324, 51541, 51762, 50446, 50956, 51073, 50973, 51290, 50989, 72341, 50896, 51983, 50448, 60899, 51983, 50451, 52105, 50454, 51960, 50455, 52105, 50458, 51085, 52493, 56047, 51247, 51294, 51050, 51541, 51762, 50460, 55626, 50836, 56178, 57055, 79981, 66154, 51016, 57806, 51406, 66583, 51762, 50416, 57806, 62799, 55626, 51467, 73954, 57806, 50937, 52105, 50420, 51629, 51183, 52838, 51183, 50422, 51983, 51510, 52992, 51324, 54726, 57334, 51841, 51362, 51315, 51226, 51762, 79471, 60998, 58750, 52297, 50315, 51013, 52008, 50431, 51762, 50434, 52622, 51556, 50839, 51570, 65004, 52105, 50442, 51324, 53708, 59808, 51197, 52297, 50283, 51294, 51762, 50446, 51040, 51048, 50956, 51048, 59001, 50973, 51013, 55359, 55721, 50852, 55223, 61778, 50880, 51629, 50840, 52838, 53228, 55079, 70416, 57208, 50816, 58014, 50717, 50331, 54452, 57735, 50717, 50331, 50936, 50458, 51197, 50884, 51560, 54192, 52348, 53902, 51503, 50889, 51522, 50896, 53552, 56874, 50825, 56178, 68036, 62202, 66154, 57130, 55614, 70416, 51864, 61923, 61778, 55531, 51044, 54069, 55626, 50887, 52105, 50425, 51503, 50834, 51522, 50841, 57806, 53672, 55882, 52759, 51116, 51360, 51294, 52318, 51235, 53552, 55739, 63571, 51040, 72271, 71449, 50889, 57806, 53672, 59185, 52105, 50433, 61778, 75339, 55901, 55698, 51931, 50441, 51360, 50841, 51868, 50818, 55626, 54109, 58829, 51378, 50807, 51966, 51091, 53262, 50896, 70416, 53841, 51239, 60372, 50916, 51267, 50965, 62542, 71734, 57130, 58275, 70416, 51421, 58078, 61778, 50809, 51899, 51044, 55007, 55626, 62603, 61014, 57806, 62037, 51378, 50846, 53262, 54285, 57461, 51324, 51294, 51668, 51573, 53552, 59933, 57806, 58693, 50956, 51159, 50973, 51157, 50989, 58419, 65221, 50828, 50799, 51931, 50416, 57806, 50938, 50418, 55901, 57240, 51471, 50425, 51085, 50841, 51150, 54005, 52905, 51247, 51191, 51050, 51294, 51793, 51573, 55626, 53672, 51239, 64561, 57806, 56865, 50956, 60241, 62202, 71123, 57130, 57881, 72337, 61778, 58877, 55901, 50834, 51570, 64562, 53786, 55604, 51324, 50834, 51668, 53971, 59117, 51315, 51091, 51841, 51204, 51493, 51362, 55626, 52773, 51239, 53162, 57806, 61189, 50956, 64291, 72271, 66154, 58307, 58275, 51931, 50448, 61778, 50952, 51899, 51044, 57690, 75936, 51315, 50820, 51984, 50828, 61778, 61468, 57461, 51197, 51608, 50283, 51191, 51930, 51016, 53552, 59933, 51040, 59229, 58104, 51073, 50973, 50914, 57806, 53345, 50828, 50799, 55626, 50857, 51931, 50416, 57806, 61292, 55901, 53023, 55626, 61359, 51471, 50424, 51197, 50846, 51930, 50895, 61778, 59155, 52905, 51503, 51608, 50300, 50889, 51522, 51016, 53552, 64015, 50956, 68036, 62202, 66154, 50889, 57806, 61468, 57881, 74909, 57806, 55960, 51044, 59990, 57806, 50846, 51570, 62047, 51197, 50834, 51560, 50895, 64350, 56867, 55384, 51503, 50889, 51522, 50896, 53552, 52210, 50989, 62202, 66154, 65439, 57130, 57757, 52093, 50446, 70416, 66943, 70416, 59248, 55901, 61425, 70416, 50887, 51647, 53268, 51503, 50834, 51522, 50841, 57806, 53933, 57735, 52759, 51116, 51360, 51294, 52318, 51235, 53552, 54814, 57806, 61780, 63571, 50965, 71449, 65439, 59250, 57498, 52105, 51601, 61778, 53504, 55901, 52761, 70416, 50991, 50421, 51931, 50424, 51360, 50841, 51868, 54005, 59824, 51378, 51800, 50286, 51191, 53262, 50896, 53552, 65416, 50916, 51267, 50965, 62542, 71734, 57130, 50828, 51532, 59651, 55626, 62089, 55901, 54606, 57806, 58566, 51471, 50439, 61778, 77118, 51378, 50846, 53262, 54285, 54735, 51324, 51294, 51668, 51573, 57806, 53345, 51239, 60067, 61778, 60492, 50956, 51159, 50973, 51290, 50989, 58419, 58307, 57757, 51931, 50449, 55901, 55007, 51471, 50455, 51085, 50841, 51150, 54005, 57735, 51247, 51191, 51050, 51294, 51793, 51573, 55626, 53345, 51239, 54991, 51086, 62930, 60241, 62202, 50807, 57806, 53345, 57498, 51931, 51601, 61778, 50938, 50417, 55901, 58592, 69971, 51324, 50834, 51668, 53971, 59824, 51841, 51204, 51315, 51091, 51493, 51362, 55626, 53345, 51239, 56680, 50956, 64291, 72271, 52297, 50303, 50914, 57806, 53243, 50828, 51532, 59651, 61778, 56504, 55901, 59370, 51931, 50439, 51315, 50820, 51984, 50828, 61778, 52862, 62078, 51197, 51608, 50283, 51191, 51930, 51016, 53552, 59808, 51040, 59229, 67565, 51159, 50973, 65221, 52878, 57806, 51421, 61082, 55626, 55459, 51044, 59528, 57806, 69008, 51471, 50454, 61778, 50952, 50455, 51197, 50846, 51930, 54285, 52738, 51503, 51095, 51176, 51095, 51522, 51175, 53552, 54794, 50956, 68036, 62202, 66154, 50889, 57806, 52862, 60112, 51471, 51809, 54637, 61606, 53396, 51044, 63222, 51324, 53576, 52206, 51508, 53744, 51085, 50884, 55626, 53500, 61159, 52759, 51221, 51360, 51204, 52318, 50991, 57806, 53672, 51239, 52437, 61778, 60329, 50956, 51267, 50871, 51267, 51086, 63403, 67294, 61146, 57806, 51559, 57881, 55626, 52667, 53786, 57446, 53396, 51044, 54002, 53786, 68412, 70658, 53979, 50925, 50439, 51360, 50841, 52318, 54005, 62078, 51966, 51807, 50298, 51204, 51705, 50889, 53552, 60604, 50916, 62202, 60006, 71734, 50943, 53319, 58616, 50801, 52878, 53319, 50878, 52105, 50448, 62570, 51044, 60752, 51931, 50454, 51966, 50884, 51705, 50949, 55626, 53704, 52738, 54637, 51619, 50291, 50943, 52659, 50914, 57806, 53933, 51239, 58323, 50989, 64292, 71449, 66715, 51003, 61778, 53243, 54370, 57806, 63357, 51931, 50799, 55626, 69939, 53786, 54384, 51044, 56564, 63222, 53786, 50836, 51039, 56856, 51085, 50841, 51461, 50818, 53979, 53095, 59095, 51247, 51800, 50297, 51294, 51140, 51013, 53552, 52928, 50956, 59782, 68292, 71123, 51003, 53786, 54169, 55882, 51931, 50428, 53786, 50925, 50431, 55901, 56564, 50841, 51556, 53040, 51247, 50839, 51140, 50846, 55626, 53790, 56068, 51841, 51191, 51315, 51191, 51493, 51294, 57806, 53345, 51239, 55262, 61778, 58344, 50956, 65480, 72271, 71449, 59250, 58829, 57806, 50840, 51931, 50445, 55626, 54926, 53786, 58029, 53754, 51044, 57136, 53786, 50836, 51931 ]
[ 0, 250, 33558, 19834, 15229, 4246, 21979, 8669, 6, 33704, 5675, 22052, 6, 6755, 12547, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 6, 7630, 14805, 10, 4845, 119, 27633, 8, 2365, 619, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 4, 20, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 381, 6, 163, 119, 6, 381, 6, 8, 163, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50799, 51236, 50855, 50768, 50289, 54718, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 51236, 50867, 50768, 50301, 59826, 51236, 50844, 50768, 50289, 58545, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51236, 50859, 50768, 50301, 51754, 51236, 50867, 50768, 50301, 50844, 50799, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 51236, 50857, 50768, 50301, 59894, 51236, 50862, 50768, 50289, 59356, 50768, 50301, 54305, 51236, 50834, 50768, 50289, 53140, 52474, 51054, 51236, 50840, 50768, 50301, 53875, 51236, 50857, 50768, 50301, 50854, 62954, 51761, 51349, 50983, 51113, 51148, 51488, 51080, 51301, 52121, 51236, 50887, 50768, 50289, 55105, 51236, 50867, 50768, 50289, 54104, 50768, 50301, 54818, 51236, 50887, 50768, 50301, 54334, 60419, 66906, 54423, 51100, 51236, 50867, 50768, 50301, 50952, 50433, 51316, 54137, 64226, 50929, 50981, 51088, 51148, 51357, 51244, 51236, 50855, 50768, 50289, 68569, 51076, 50981, 52474, 51016, 50441, 50768, 50301, 52510, 51236, 50813, 50768, 50289, 54105, 51292, 50981, 51374, 50889, 51236, 50836, 50768, 50301, 55433, 51236, 50862, 50768, 50301, 50887, 62954, 51237, 51349, 50983, 51113, 51244, 51488, 51148, 51236, 50840, 50768, 50289, 54657, 51236, 50857, 50768, 50289, 55754, 50768, 50301, 53425, 51236, 50809, 50768, 50301, 53705, 66286, 66906, 54423, 51111, 51236, 50867, 50768, 50301, 67631, 51316, 58020, 69432, 50929, 51109, 52474, 51016, 51088, 51145, 51357, 51490, 51107, 51145, 51236, 50809, 50768, 50289, 62293, 51076, 74244, 50768, 50301, 53524, 51236, 50857, 50768, 50289, 52800, 51292, 50915, 51236, 50840, 50768, 50301, 60949, 51374, 67523, 51236, 50855, 50768, 50301, 50840, 62954, 51761, 51349, 51364, 51113, 51183, 51488, 51244, 51236, 50855, 50768, 50289, 54718, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 66286, 57304, 54423, 51100, 51236, 50867, 50768, 50301, 50940, 50433, 51316, 58020, 69432, 67806, 52474, 50896, 51088, 51145, 51357, 51148, 51236, 50844, 50768, 50289, 64643, 51076, 63939, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51292, 50943, 51236, 50859, 50768, 50301, 57465, 51374, 63505, 51236, 50867, 50768, 50301, 50844, 62954, 51054, 51349, 51343, 51113, 51183, 51488, 51148, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 63386, 66309, 54423, 51100, 51236, 50857, 50768, 50301, 50948, 50433, 51316, 54014, 50960, 51477, 50929, 51109, 52474, 51090, 74973, 51357, 51080, 51107, 51145, 51236, 50862, 50768, 50289, 67941, 51076, 77052, 50768, 50301, 54305, 51236, 50834, 50768, 50289, 53140, 51292, 51159, 51236, 50840, 50768, 50301, 63793, 51374, 51603, 50456, 51236, 50857, 50768, 50301, 50854, 62954, 51761, 51349, 50983, 51113, 51148, 51488, 51080, 51301, 52121, 56547, 56073, 51236, 50887, 50768, 50289, 55105, 51236, 50867, 50768, 50289, 54104, 50768, 50301, 54818, 51236, 50887, 50768, 50301, 54334, 60419, 66906, 54423, 51100, 51236, 50867, 50768, 50301, 50952, 50433, 51316, 54137, 64226, 50929, 50981, 51088, 51148, 51357, 51244, 51236, 50855, 50768, 50289, 68569, 51076, 50981, 52474, 51016, 50441, 50768, 50301, 52510, 51236, 50813, 50768, 50289, 54105, 51292, 50981, 51374, 50889, 51236, 50836, 50768, 50301, 55433, 51236, 50862, 50768, 50301, 50887, 62954, 51237, 51349, 50983, 51113, 51244, 51488, 51148, 51236, 50840, 50768, 50289, 54657, 51236, 50857, 50768, 50289, 69150, 55093, 69321, 50768, 50301, 53425, 51236, 50809, 50768, 50301, 60155, 56547, 59959, 66286, 66906, 54423, 51111, 51236, 50867, 50768, 50301, 67631, 51316, 58020, 69432, 50929, 51109, 52474, 51016, 51088, 51145, 51357, 51490, 51107, 51145, 55693, 50993, 51236, 50809, 50768, 50289, 62293, 51076, 74244, 50768, 50301, 53524, 51236, 50857, 50768, 50289, 54417, 56547, 69560, 51292, 50915, 51236, 50840, 50768, 50301, 60949, 51374, 51048, 50455, 55093, 51379, 50456, 51236, 50855, 50768, 50301, 50840, 62954, 51761, 51349, 51364, 51113, 51183, 51488, 51244, 51236, 50855, 50768, 50289, 68621, 56547, 54217, 50420, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 66286, 57304, 54423, 51100, 51236, 50867, 50768, 50301, 50940, 50433, 51316, 58020, 69432, 67806, 52474, 50896, 51088, 51145, 51357, 51148, 51236, 50844, 50768, 50289, 64643, 51076, 63939, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51292, 50943, 51236, 50859, 50768, 50301, 57465, 51374, 63505, 51236, 50867, 50768, 50301, 50844, 62954, 51054, 51349, 51343, 51113, 51183, 51488, 51148, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 63386, 66309, 54423, 51100, 51236, 50857, 50768, 50301, 50948, 50433, 51316, 54014, 50960, 51477, 50929, 51109, 52474, 51090, 74973, 51357, 51080, 51107, 51145, 51236, 50862, 50768, 50289, 67941, 51076, 77052, 50768, 50301, 54305, 51236, 50834, 50768, 50289, 53140, 51292, 51159, 51236, 50840, 50768, 50301, 63793, 51374, 51603, 50456, 51236, 50857, 50768, 50301, 50854, 62954, 51761, 51349, 50983, 51113, 51148, 51488, 51080, 51301, 52121, 56547, 52442, 51236, 50887, 50768, 50289, 55105, 51236, 50867, 50768, 50289, 54104, 50768, 50301, 54818, 51236, 50887, 50768, 50301, 54334, 60419, 66906, 54423, 51100, 51236, 50867, 50768, 50301, 50952, 50433, 51316, 54137, 64226, 50929, 50981, 51088, 51148, 51357, 51244, 51236, 50855, 50768, 50289, 68569, 51076, 50981, 52474, 51016, 50441, 50768, 50301, 52510, 51236, 50813, 50768, 50289, 54105, 51292, 50981, 51374, 50889, 51236, 50836, 50768, 50301, 55433, 51236, 50862, 50768, 50301, 50887, 62954, 51237, 51349, 50983, 51113, 51244, 51488, 51148, 51236, 50840, 50768, 50289, 54657, 51236, 50857, 50768, 50289, 69150, 55093, 69321, 50768, 50301, 53425, 51236, 50809, 50768, 50301, 60155, 56547, 51483, 50432, 66286, 66906, 54423, 51111, 51236, 50867, 50768, 50301, 67631, 51316, 58020, 69432, 50929, 51109, 52474, 51016, 51088, 51145, 51357, 51490, 51107, 51145, 55693, 50993, 51236, 50809, 50768, 50289, 62293, 51076, 74244, 50768, 50301, 53524, 51236, 50857, 50768, 50289, 54417, 56547, 77778, 51292, 50915, 51236, 50840, 50768, 50301, 60949, 51374, 51048, 50455, 55093, 73499, 51236, 50855, 50768, 50301, 50840, 62954, 51761, 51349, 51364, 51113, 51183, 51488, 51244, 51236, 50855, 50768, 50289, 68621, 56547, 52737, 50420, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 66286, 57304, 54423, 51100, 51236, 50867, 50768, 50301, 50940, 50433, 51316, 58020, 69432, 67806, 52474, 50896, 51088, 51145, 51357, 51148, 51236, 50844, 50768, 50289, 64643, 51076, 63939, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51292, 50943, 51236, 50859, 50768, 50301, 57465, 51374, 51073, 50456, 51236, 50867, 50768, 50301, 50844, 62954, 51054, 51349, 51343, 51113, 51183, 51488, 51148, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 63386, 50947, 50938, 54423, 51100, 51236, 50857, 50768, 50301, 50948, 50433, 51316, 55467, 50960, 51542 ]
[ 0, 250, 8787, 5175, 2125, 19, 10, 2842, 9, 3495, 6, 17407, 30, 63, 15352, 30054, 8, 19448, 2574, 4, 8504, 11, 230, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 26432, 636, 3938, 22052, 6, 21072, 6, 3459, 9590, 6, 8, 10, 6755, 12547, 4, 20, 33215, 16739, 9, 230, 119, 406, 6, 272, 119, 406, 6, 8, 230, 119, 3639, 7, 63, 2365, 8, 1372, 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 ]	[ 54458, 67896, 68173, 50964, 60493, 50945, 52125, 51325, 70048, 50945, 52116, 50953, 52325, 57909, 67896, 68173, 50964, 60493, 50945, 52125, 51325, 70048, 50945, 52116, 50953, 52325, 57909, 67896, 50993, 50913, 50886, 50416, 50913, 50886, 53214, 66182, 50913, 55394, 50913, 59993, 50913, 56037, 50964, 50993, 50913, 64783, 50913, 53935, 50913, 71699, 50913, 50886, 53649, 64205, 50913, 54860, 50945, 55674, 61075, 50913, 50886, 53198, 61360, 50913, 53980, 51325, 50993, 50913, 68167, 50913, 50886, 53491, 64101, 50913, 54758, 50913, 61334, 50913, 57091, 50945, 52199, 64891, 50913, 54105, 50953, 55674, 76690, 50913, 50886, 54599, 64833, 50913, 55370, 50945, 55674, 61688, 50913, 50886, 53341, 61561, 50913, 50886, 67896, 68173, 50964, 60493, 50945, 52125, 51325, 64322, 51858, 52911, 50945, 52116, 50953, 52677, 53532, 50816, 52163, 50945, 52590, 50803, 67896, 68938, 52699, 51589, 50873, 51206, 53177, 50304, 56082, 50861, 56082, 50965, 56082, 51001, 56082, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51224, 57488, 52542, 51589, 50873, 56343, 55059, 50953, 68938, 52199, 50912, 53410, 50811, 51899, 52699, 51589, 50873, 53143, 50811, 54706, 52199, 50912, 63000, 52884, 50945, 52590, 56662, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 55267, 55141, 50822, 51441, 50814, 50307, 56082, 50965, 56082, 50876, 56082, 51001, 51427, 51405, 51427, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 53143, 54381, 50964, 50993, 78012, 51001, 51427, 51405, 51427, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 50822, 51441, 50814, 50319, 52370, 50331, 50911, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 50822, 51441, 50814, 50319, 51427, 51405, 51427, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 50931, 52370, 50333, 50911, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 53410, 52884, 57909, 51170, 52542, 50822, 51441, 50814, 50318, 52370, 50330, 50911, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 50822, 51441, 50814, 50319, 51427, 51405, 51427, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 50902, 51427, 51146, 51427, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 50822, 51441, 50814, 50316, 52370, 50328, 50882, 53143, 54496, 51170, 52085, 50912, 50906, 50882, 51081, 50882, 53410, 52952, 51325, 68938, 52699, 50822, 51441, 50814, 50311, 53177, 50323, 51090, 53410, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 50822, 51441, 50814, 50309, 53177, 50321, 51090, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 53410, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 53410, 52884, 50945, 52590, 56662, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 53596, 79109, 52699, 50822, 51441, 50814, 50307, 56082, 50965, 56082, 50876, 56094, 51001, 51427, 51405, 51427, 59685, 50811, 53214, 50912, 53143, 53213, 51236, 52542, 51589, 50873, 56045, 54381, 50945, 51160, 78012, 51001, 51427, 51405, 51427, 53348, 50811, 51694, 52699, 51589, 50873, 52803, 50811, 53649, 50912, 53143, 52726, 51186, 56795, 56662, 52542, 50822, 51441, 50814, 50319, 52370, 50331, 50911, 52967, 54496, 51170, 52085, 50912, 53143, 52952, 52022, 79109, 52699, 50822, 51441, 50814, 50319, 51427, 51405, 51427, 56045, 50811, 53491, 50912, 52967, 52940, 51236, 52542, 51589, 50873, 56045, 55059, 51186, 54976, 50912, 50931, 52370, 50333, 50911, 53143, 52768, 51133, 52677, 52699, 51589, 50873, 56045, 50811, 54599, 50912 ]
[ 0, 250, 765, 8, 182, 1769, 3495, 3152, 37903, 11, 272, 538, 6, 4246, 41, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 19, 10, 11602, 9, 7125, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50642, 79391, 55046, 51076, 54187, 57235, 59177, 58197, 51019, 64146, 60419, 63755, 51076, 63862, 52630, 68242, 67291, 51076, 63862, 52726, 60419, 67291, 51076, 51654, 50388, 52094, 51010, 50433, 51019, 61546, 60419, 67291, 51076, 63862, 60159, 67669, 50929, 50893, 51076, 50893, 52531, 52094, 55059, 52491, 55510, 51019, 51352, 68533, 50929, 50893, 51076, 56867, 77365, 62103, 52491, 61510, 60419, 67291, 51076, 63862, 51010, 50799, 68242, 62018, 71594, 52531, 52094, 58320, 52891, 51500, 50420, 68242, 67291, 51076, 69387, 57480, 68242, 67291, 51076, 55732, 60404, 56973, 51979, 51379, 50432, 68242, 67291, 51076, 69387, 52676, 79388, 71369, 50929, 50893, 51076, 50893, 71937, 51979, 57508, 50798, 57235, 59071, 53319, 52737, 51769, 61897, 64629, 67291, 69239, 51067, 54058, 63880, 67291, 79751, 51067, 50972, 51065, 56354, 72809, 63755, 51076, 50805, 51067, 50974, 52531, 52094, 60370, 50953, 51745, 61894, 50849, 50929, 50893, 51076, 50805, 51067, 66884, 52302, 72809, 63755, 71594, 51067, 50838, 52055, 52094, 52968, 71369, 50929, 50893, 51076, 50893, 51067, 57353, 51045, 51065, 68238, 50953, 66613, 72809, 67291, 79751, 51067, 51166, 51065, 59266, 63880, 63755, 79751, 51067, 57685, 60499, 52940, 63880, 67291, 51076, 69387, 52768, 72809, 63755, 71594, 51067, 50905, 52531, 52268, 57701, 64629, 63755, 71594, 71937, 51065, 50811, 68892, 51010, 50929, 50930, 51076, 50879, 70858, 51438, 50893, 52491, 53454, 50798, 63791, 64431, 58197, 67989, 51979, 53090, 50420, 65738, 65742, 60502, 51292, 71920, 52630, 57662, 51076, 50805, 51032, 50805, 51292, 69387, 52726, 67989, 63755, 51076, 51079, 60502, 51292, 50901, 52531, 52094, 60364, 61675, 51076, 50805, 60502, 51292, 63862, 60159, 50929, 50893, 79751, 74731, 51292, 51428, 50388, 52094, 52768, 51133, 51029, 71927, 51076, 50911, 74731, 51292, 56867, 77365, 57506, 52643, 67291, 79751, 51032, 50805, 51292, 69387, 51010, 60938, 50849, 51076, 50805, 51032, 50805, 51292, 50901, 52531, 52094, 53213, 62018, 79751, 51032, 50805, 51292, 69387, 57480, 51415, 50824, 67291, 51076, 50805, 78029, 51292, 55732, 60404, 52265, 63755, 79751, 51032, 50805, 51292, 69387, 57776, 53880, 52826, 50438, 76700, 50947, 51012, 51076, 50805, 51032, 50893, 52491, 54484, 50798, 57235, 59071, 51011, 51059, 51769, 52711, 61498, 79751, 51032, 52985, 60419, 50947, 50893, 51076, 50849, 51032, 63862, 56354, 60419, 70696, 51076, 50981, 67672, 52531, 52094, 60370, 51011, 51745, 50799, 60419, 57304, 67672, 51065, 52302, 66286, 57304, 79751, 67672, 52055, 52094, 52968, 51011, 51029, 61337, 50947, 50893, 51076, 50849, 51032, 50893, 51769, 55976, 51045, 51065, 56896, 67519, 66309, 51076, 50981, 60265, 51065, 59266, 66286, 66309, 51032, 55732, 60499, 61746, 51769, 54651, 63386, 57304, 69239, 51032, 71920, 59135, 51011, 51362, 50450, 50998, 62874, 50849, 51076, 50911, 65063, 52531, 52268, 57701, 68533, 57304, 51076, 50849, 51032, 53872, 50811, 69146, 50893, 55046, 51076, 54187, 60499, 59177, 58197, 51019, 68107, 60419, 63755, 51076, 63862, 52630, 62664, 68242, 67291, 51076, 63862, 52726, 51019, 51066, 60419, 67291, 51076, 51654, 50388, 52094, 60364, 60419, 67291, 51076, 63862, 51010, 50443, 51019, 52284, 67669, 50929, 50893, 51076, 50893, 52531, 52094, 55059, 52491, 55510, 63167, 68533, 50929, 50893, 51076, 56867, 57235, 57365, 51769, 50882, 50452, 52491, 61510, 60419, 67291, 51076, 63862, 74380, 63167, 50799, 68242, 62018, 71594, 52531, 52094, 58320, 52891, 51500, 50420, 70702, 68242, 67291, 51076, 69387, 57480, 63167, 68242, 67291, 51076, 55732, 60404, 56973, 51979, 51379, 50432, 58461, 68242, 67291, 51076, 69387, 52676, 71369, 50929, 50893, 51076, 50893, 71937, 51979, 57508, 50798, 57235, 59071, 79388, 53319, 52737, 51769, 55920, 64629, 67291, 69239, 51067, 54058, 63880, 67291, 79751, 51067, 50972, 51065, 56354, 72809, 63755, 51076, 50805, 51067, 50974, 52531, 52094, 60370, 50953, 51066, 61894, 50849, 50929, 50893, 51076, 50805, 51067, 66884, 52302, 72809, 63755, 71594, 51067, 50838, 52055, 52094, 59852, 50953, 56519, 63615, 71369, 50929, 50893, 51076, 50893, 51067, 57353, 51045, 51065, 50950, 50428, 51769, 54154, 72809, 67291, 79751, 51067, 51166, 51065, 50962, 55208, 50802, 63880, 63755, 79751, 51067, 57685, 60499, 52940, 73634, 63880, 67291, 51076, 69387, 52768, 72809, 63755, 71594, 51067, 50905, 52531, 52268, 78780, 50953, 55273, 64629, 63755, 71594, 71937, 51065, 60370, 61254, 54272, 50824, 51032, 51010, 50929, 50930, 51076, 50879, 70858, 52491, 53454, 50798, 60499, 57506, 56025, 51979, 53090, 50420, 65738, 65742, 60502, 51292, 71920, 52630, 57662, 51076, 50805, 51032, 50805, 51292, 69387, 58221, 51133, 51056, 50432, 63755, 51076, 51079, 60502, 51292, 50901, 52531, 52094, 60364, 61675, 51076, 50805, 60502, 51292, 63862, 60159, 51133, 50823, 50929, 50893, 79751, 74731, 51292, 51428, 50388, 52094, 52768, 51133, 50823, 71927, 51076, 50911, 74731, 51292, 56867, 57235, 52163, 67291, 79751, 51032, 50805, 51292, 69387, 51010, 50457, 51133, 71366, 79303, 60938, 50849, 51076, 50805, 51032, 50805, 51292, 50901, 52531, 51106, 55326, 53213, 51133, 51286, 62018, 79751, 51032, 50805, 51292, 57652, 64088, 51010, 50425, 51415, 62819, 67291, 51076, 50805, 78029, 51292, 55732, 52791, 68672, 52265, 63755, 79751, 51032, 50805, 51292, 57652, 68608, 57776, 51769, 54181, 51076, 50805, 50986, 51103, 53319, 52299, 59177, 57235, 59071, 51011, 70736, 50998, 51551, 50441, 51131, 51407, 50443, 50929, 51551, 50445, 51011, 79384, 51769, 53140, 52172, 52149, 51065, 72638, 51011, 57313, 51011, 53235, 50388, 52094, 56628, 51769, 50854, 53534, 50910, 51065, 52302, 52055, 52094, 59852, 51011, 51045, 50424, 50986, 51417, 50426, 50998, 51472, 50816, 51045, 51335, 67541, 54262, 50586, 60262, 63616, 50929, 51285, 53319, 67318, 51076, 66312, 51065, 67725, 51011, 55381, 63616, 51769, 53632, 54886, 58948, 52940, 51065, 59135, 51011, 69458, 51769, 54596, 64604, 52531, 51122, 50942, 51065, 57701, 51065, 60370, 51011, 56860, 50998, 52168, 53534, 53236, 59177, 67541, 58320, 50929, 51407, 53319, 51480, 50416, 50986, 51407, 51076, 51407, 50420, 51011, 71299, 51769, 52921, 51011, 51138, 51065, 55736, 51011, 51747, 50388, 52094, 57784, 51769, 54181, 51011, 51138, 51065, 52267, 51011, 53235, 75616, 59135, 50998, 51538, 50448, 50929, 51407, 50449, 51076, 52282, 50450, 63616, 51067, 51977, 50816, 54262, 50588, 67541, 54262, 50586, 64847, 53319, 52188, 50456, 51011, 68608, 50962, 53534, 63791, 53632, 60499, 60861, 51011, 59723, 51065, 58099, 65592, 51769, 50858, 52389, 57591, 61273, 56257, 51065, 58212, 50986, 51486, 50437, 51725, 51352, 50998, 51941, 67465, 50860, 50929, 51941, 50798, 57235, 61746, 51032, 51896, 50444, 51133, 75637, 51769, 53140, 51133, 60499, 72091, 51133, 55037, 52531, 52094, 56628, 51769, 50854, 54272, 60499, 61993, 51133, 55446, 52055, 52094, 58099, 51133, 50823, 50986, 51591, 51694, 50388, 52094, 54262, 50586, 60262, 50998, 51977, 50428, 51725, 51407, 50929, 51742, 50429, 51032, 51623, 50431, 51133, 57748, 51065, 79737, 51133, 55276, 51769, 53632, 60499, 60869, 51133, 70500, 51065, 57795, 79303, 51769, 54596, 52531, 52268, 51010, 50455, 51133, 56210, 51065, 56628, 50986, 51803, 69146, 51977, 50798, 57235, 58320, 60264, 51725, 51407, 50416, 50929, 53486, 50418, 51032 ]
[ 0, 250, 19448, 15855, 2125, 702, 15, 41, 21979, 8669, 11, 83, 538, 6, 4246, 10, 33215, 16739, 14, 25935, 1626, 227, 381, 8, 83, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 7630, 6568, 10, 5679, 26709, 8, 11653, 5466, 6, 1969, 13, 10, 32625, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 51444, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 59176, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 51574, 50879, 51574, 73824, 51846, 54811, 50960, 67636, 50998, 54721, 51169, 69194, 51292, 54418, 51067, 57264, 51076, 50859, 50799, 52028, 51013, 52028, 51013, 50417, 51317, 54681, 51078, 55747, 50947, 53950, 51316, 58129, 51292, 53974, 51788, 56535, 52866, 54773, 51444, 51013, 51786, 61032, 51292, 54811, 51067, 56762, 51316, 54721, 51076, 59682, 50947, 54418, 51169, 57264, 51078, 50859, 65962, 50879, 51574, 78006, 51317, 54681, 51131, 50879, 51131, 65393, 50998, 53950, 51317, 50879, 51317, 65708, 50947, 53974, 50998, 50879, 50998, 63363, 51316, 54773, 50947, 50879, 50947, 73824, 51292, 54811, 51316, 56762, 50947, 54721, 51574, 51238, 51574, 51013, 50453, 51311, 55416, 50960, 66458, 51169, 50859, 65309, 51336, 50417, 51317, 56179, 50627, 50998, 65393, 50947, 53950, 50627, 51316, 65708, 51292, 53974, 50626, 52866, 56535, 51788, 54773, 50626, 51131, 51013, 50439, 51317, 51073, 50998, 51073, 50947, 51073, 57530, 51444, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 59176, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 51574, 50879, 51574, 73824, 51846, 54811, 50960, 67636, 50998, 54721, 51169, 69194, 51292, 54418, 51067, 57264, 51076, 50859, 50799, 52028, 51013, 52028, 51013, 50417, 51317, 54681, 51078, 55747, 50947, 53950, 51316, 58129, 51292, 53974, 51788, 56535, 52866, 54773, 51444, 51013, 51786, 61032, 51292, 54811, 51067, 56762, 51316, 54721, 51076, 59682, 50947, 54418, 51169, 57264, 51078, 50859, 65962, 50879, 51574, 78006, 51317, 54681, 51131, 50879, 51131, 65393, 50998, 53950, 51317, 50879, 51317, 65708, 50947, 53974, 50998, 50879, 50998, 63363, 51316, 54773, 50947, 50879, 50947, 73824, 51292, 54811, 51316, 56762, 50947, 54721, 51574, 51238, 51574, 51013, 50453, 51311, 55416, 50960, 66458, 51169, 50859, 65309, 51336, 50417, 51317, 56179, 50627, 50998, 65393, 50947, 53950, 50627, 51316, 65708, 51292, 53974, 50626, 52866, 56535, 51788, 54773, 50626, 51131, 51013, 50439, 51317, 51073, 50998, 51073, 50947, 51073, 57530, 51504, 50879, 51504, 78006, 51131, 56179, 50986, 65393, 50970, 54851, 50947, 58129, 51067, 53974, 51032, 63363, 50947, 54773, 50970, 73824, 50947, 54811, 50986, 50879, 50986, 67636, 50970, 54721, 51131, 50879, 51131, 69194, 50986, 54418, 51504, 50859, 51504, 66458, 51131, 50859, 63133, 50859, 51725, 51013, 50417, 51574, 54681, 51207, 65393, 51246, 54851, 50986, 65708, 50998, 53974, 50929, 63363, 50947, 54773, 51064, 73824, 50929, 54811, 50998, 67636, 50986, 54721, 50960, 69194, 50986, 54418, 51246, 57264, 51207, 50859, 58700, 50879, 51504, 78006, 51131, 56179, 50986, 65393, 50970, 54851, 50947, 58129, 51067, 53974, 51032, 63363, 50947, 54773, 50970, 73824, 50947, 54811, 50986, 50879, 50986, 67636, 50970, 54721, 51131, 50879, 51131, 69194, 50986, 54418, 51504, 50859, 51504, 66458, 51131, 50859, 63133, 50859, 51725, 51013, 50417, 51574, 54681, 51207, 65393, 51246, 54851, 50986, 65708, 50998, 53974, 50929, 63363, 50947, 54773, 51064, 73824, 50929, 54811, 50998, 67636, 50986, 54721, 50960, 69194, 50986, 54418, 51246, 57264, 51207, 50859, 50799, 53805, 51013, 53805, 51013, 50417, 50998, 56179, 50929, 65393, 50947, 53950, 51316, 58129, 51292, 53974, 51563, 56535, 51292, 54773, 52012, 51336, 51316, 73824, 50947, 54811, 51169, 56762, 50947, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 60533, 50859, 51444, 59176, 51504, 54681, 51131, 65393, 50960, 54851, 50970, 65708, 50947, 53974, 51067, 56535, 51292, 54773, 51444, 51336, 51438, 61032, 51067, 54811, 50947, 67636, 50970, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 50799, 53805, 51013, 53805, 51013, 50417, 50998, 56179, 50929, 65393, 50947, 53950, 51316, 58129, 51292, 53974, 51563, 56535, 51292, 54773, 52012, 51336, 51316, 73824, 50947, 54811, 51169, 56762, 50947, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 60533, 50859, 51444, 59176, 51504, 54681, 51131, 65393, 50960, 54851, 50970, 65708, 50947, 53974, 51067, 56535, 51292, 54773, 51444, 51336, 51438, 61032, 51067, 54811, 50947, 67636, 50970, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 64752, 50879, 51246, 78006, 50960, 56179, 50970, 65393, 50960, 54851, 51064, 65708, 50970, 54729, 51067, 63363, 51064, 54773, 51438, 50879, 51438, 55885, 51246, 56827, 50960, 57241, 51246, 50923, 58700, 50879, 51504, 78006, 50986, 56179, 50970, 65393, 50986, 54851, 50947, 65708, 50970, 54729, 51032, 63363, 50947, 54773, 51438, 55885, 51504, 56827, 51131, 57241, 51504, 50923, 61108, 50879, 51207, 78006, 51246, 56179, 50960, 65393, 51246, 54851, 50929, 65708, 50960, 54729, 51064, 63363, 50929, 54773, 51067, 55885, 51207, 56827, 51246, 57241, 51207, 50923, 60533, 50879, 51444, 78006, 51131, 56179, 50960, 65393, 51131, 54851, 50970, 65708, 50960, 54729, 50947, 63363, 50970, 54773, 51067, 55885, 51444, 56827, 51504, 57241, 51444, 50923, 61108, 51238, 51207, 51013, 50417, 50960, 56179, 51064, 65393, 50960, 53950, 51131, 51238, 51131, 51013, 50429, 50960, 54729, 50947, 63363, 50960, 54773, 51246, 51527, 50441, 50960, 55885 ]
[ 0, 250, 765, 5175, 25771, 2125, 19, 10, 2933, 8, 5679, 26709, 5466, 6, 4246, 10, 13305, 816, 10, 881, 33215, 13931, 9, 83, 406, 73, 347, 10431, 6, 211, 119, 6, 230, 10431, 37152, 6, 211, 119, 6, 8, 230, 401, 11, 10, 7212, 155, 73, 398, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 23975, 1825, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50631, 50415, 50628, 52076, 52076, 52323, 51434, 74023, 50628, 50420, 51440, 53172, 51773, 53308, 51607, 55306, 51669, 55322, 52603, 50849, 52323, 51944, 55689, 52603, 55035, 51669, 54777, 51607, 55306, 51773, 55322, 51440, 50805, 52323, 52769, 50892, 51773, 55385, 52806, 53890, 52557, 50892, 51669, 56217, 51774, 54137, 51614, 50892, 52257, 56157, 52027, 50905, 52323, 56194, 50905, 51607, 57933, 52027, 56307, 51614, 50892, 53335, 60307, 51774, 53264, 52557, 50905, 52807, 60510, 52806, 50974, 52323, 52257, 50873, 52557, 60115, 52807, 53890, 54258, 50849, 51614, 57648, 53876, 53470, 54910, 50805, 51434, 59791, 58795, 50795, 52323, 53335, 50901, 52806, 57519, 58795, 51631, 54910, 50901, 51774, 57421, 53876, 54233, 54258, 50879, 51944, 55480, 52807, 50805, 52323, 54258, 50879, 52769, 55385, 52257, 53890, 52807, 50849, 51434, 57421, 54258, 55122, 53876, 50849, 52557, 56157, 54910, 50879, 52323, 52603, 50805, 51774, 60115, 54910, 53466, 53876, 50849, 51614, 56217, 54258, 52446, 52807, 50795, 52027, 56306, 52257, 50795, 52323, 52807, 50805, 53369, 57519, 52327, 54851, 52257, 50795, 51515, 56217, 52807, 54233, 54258, 50795, 52806, 56157, 53876, 50893, 52323, 51669, 50849, 52557, 55385, 53876, 54851, 54258, 50805, 51774, 55112, 52807, 55122, 52257, 50805, 51614, 56306, 52327, 50893, 52323, 52027, 50849, 52257, 56763, 51774, 50873, 52807, 53890, 51614, 50892, 54258, 55214, 52027, 50849, 52257, 51646, 51515, 50845, 52807, 51918, 51434, 50845, 54258, 50849, 52323, 52806, 50901, 51607, 66403, 51434, 52483, 51515, 54777, 52027, 54233, 51614, 53999, 51774, 50805, 52323, 51614, 50873, 52327, 56179, 52557, 50901, 52257, 53466, 51774, 50849, 52807, 55214, 51614, 50849, 52327, 55122, 52027, 50805, 52257, 55885, 51515, 50845, 52807, 50795, 52323, 52769, 50849, 51773, 55385, 51515, 53770, 52027, 52605, 51614, 53264, 51774, 50901, 52603, 56157, 52557, 50845, 52323, 52806, 55126, 53369, 54335, 52769, 50901, 51669, 55112, 52806, 54137, 52557, 50845, 51607, 55480, 51774, 50845, 52323, 53722, 50845, 52327, 55099, 51774, 50873, 52603, 53172, 52557, 50974, 51669, 54777, 52806, 50905, 51607, 53470, 52769, 50892, 51773, 55945, 53369, 50905, 51440, 50901, 52323, 52769, 50845, 51773, 52864, 55677, 50901, 51607, 53172, 53369, 50857, 51607, 68499, 58933, 54465, 51773, 50849, 52323, 57117, 50849, 51773, 65516, 54437, 51631, 53722, 50845, 52327, 55112, 55677, 53470, 53369, 50849, 52327, 62682, 52769, 50901, 52323, 52327, 50858, 56090, 63118, 52257, 52734, 52327, 50808, 52769, 59573, 52257, 52450, 52327, 50800, 53369, 62554, 52257, 53917, 52327, 50859, 55677, 58926, 52257, 55381, 52327, 50858, 53722, 66798, 52257, 54651, 52327, 50858, 54437, 53658, 52257, 50894, 52323, 52327, 50858, 53722, 66147, 52257, 55446, 52327, 50800, 55677, 53471, 52257, 52422, 52327, 50859, 53369, 62554, 52257, 54440, 52327, 50858, 52769, 53505, 52257, 52877, 52327, 50858, 52806, 61772, 52257, 54952, 52327, 50800, 52557, 67636, 52257, 50859, 52323, 52327, 50882, 54437, 71423, 52257, 53113, 52327, 50821, 52557, 63867, 52257, 53950, 52327, 50894, 52806, 65708, 52257, 53974, 52327, 50821, 52769, 63363, 52257, 55381, 52327, 50859, 53369, 60132, 52257, 55920, 52327, 50800, 55677, 62617, 52257, 50859, 52323, 52327, 50821, 53722, 55099, 55677, 50849, 52603, 52247, 53369, 50901, 51669, 54729, 53722, 50901, 51607, 53470, 55677, 50805, 51773, 56209, 53369, 50879, 51440, 50805, 52323, 52327, 50805, 58748, 53561, 51434, 52483, 51440, 52605, 51808, 55122, 51607, 52815, 51669, 50873, 52323, 54437, 50901, 52603, 52864, 53722, 50873, 51669, 53890, 55677, 50805, 51607, 54259, 54437, 50873, 51773, 51646, 53722, 50845, 51440, 52815, 55677, 50845, 51434, 50795, 52323, 52603, 50805, 56090, 60413, 51515, 54851, 51434, 54729, 51440, 53470, 51773, 52815, 51607, 50849, 52323, 51669, 50805, 57117, 65516, 52043, 53890, 52327, 50805, 52557, 57421, 52257, 52446, 52807, 50805, 52769, 55480, 54258, 50879, 52323, 52361, 50849, 55243, 60413, 54258, 51631, 52807, 50849, 56922, 57421, 52257, 54993, 52327, 50795, 56090, 56157, 52043, 50879, 52323, 53722, 50845, 52327, 55099, 56922, 50901, 52043, 54851, 53722, 50873, 52257, 55214, 55243, 50901, 52327, 52446, 53369, 50901, 52043, 55322, 52769, 50873, 51669, 50873, 52323, 52806, 50854, 52361, 60770, 52557, 54611, 52806, 50833, 51669, 53471, 52557, 53906, 52806, 50812, 52361, 54253, 52557, 51628, 52806, 50859, 51808, 58952, 52557, 52841, 52806, 50854, 51440, 66798, 52557, 52597, 52806, 50812, 51434, 53658, 52557, 50859, 52323, 52806, 50808, 51515, 76882, 52557, 51835, 52806, 50859, 51434, 60522, 52557, 53950, 52806, 73115, 58983, 52557, 52749, 52806, 50859, 51808, 57807, 52557, 52841, 52806, 50859, 52361, 69692, 52557, 52597, 52806, 50808, 51669, 59956, 52557, 50812, 52323, 52806, 50833, 51434, 60770, 52557, 52871, 52806, 50808, 52327, 63867, 52557, 51620, 52806, 50858, 52043, 62554, 52557, 52749, 52806, 50808, 51669, 53505, 52557, 52841, 52806, 50800, 52361, 61772, 52557, 54811, 52806, 50812, 51808, 53658, 52557, 50858, 52323, 52806, 73115, 76882, 52557, 52871, 52806, 50812, 51808, 60522, 52557, 53049, 52806, 50859, 52361, 60412, 52557, 51628, 52806, 50812, 51669, 60698, 52557, 52841, 52806, 50808, 52043, 66798, 52557, 51820, 52806, 50800, 52327, 62617, 52557, 50808, 52323, 52806, 50808, 51808, 78006, 52557, 52871, 52806, 50812, 52807, 65393, 52557, 52710, 52806, 50833, 52257, 65708, 52557, 53627, 52806, 50808, 52327, 60698, 52557, 51724, 52806, 50812, 52043, 66798, 52557, 51820, 52806, 50854, 51669, 53658, 52557, 50854, 52323, 52361, 50893, 52806, 57519, 51669, 53466, 52043, 50879, 51440, 53182, 52327, 54993, 52257, 50879, 51434, 58141, 52807, 50805, 52323, 51669, 50873, 51515, 55385, 54258, 54851, 52807, 50795, 51660, 57173, 52257, 51646, 52327, 50849, 51614, 56157, 52043, 50849, 52323, 54910, 50849, 51434, 60413, 56416, 53466, 54797, 50873, 51440, 57421, 52807, 52446, 51773, 50981, 54910, 51218, 52323, 51434, 57933, 52257, 54851, 51440, 50889, 52043, 68499, 52806, 55480, 51669, 50805, 52323, 51614, 50836, 51669, 60055, 53722, 53466, 55677, 52605, 53369, 50845, 51669, 52446, 52769, 50845, 52603, 52815, 54632, 50849, 52327, 50795, 52323, 58748, 50873, 51434, 53561, 54632, 53466, 52769, 50805, 51808, 64919, 53369, 55306, 55677, 50901, 51669, 62682, 53722, 50901, 52323, 52603, 50849, 54437, 70506, 51607, 52483, 51669, 51736, 54437, 50805, 52603, 53470, 53722, 50805, 52327, 53969, 55677, 50849, 52257, 50879, 52323, 51440, 50849, 58933, 65516, 52257, 53890, 71175, 54437, 56217, 52603, 51646, 51669, 50795, 53369, 60510, 51607, 50795, 52323, 51669, 50836, 52557, 55099, 51774, 52483, 51614, 50873, 54258, 55214, 51660, 50845, 52807, 51646, 51944, 50873, 54258, 55480, 51434, 50845, 52323, 52806, 50805, 51607, 53561, 51434, 53466, 52807, 50890, 51944, 53308, 51660, 53470, 51614, 53969, 51774, 50849, 52323, 52257, 50795, 52557, 57519, 52807, 51631, 54258, 50849, 51614, 57547, 53876, 53470, 54910, 50849, 51434, 58141, 58795, 50873, 52323, 53335, 50901, 52806, 57933, 58795, 53890, 54910, 50901, 51774, 57421, 53876, 52446, 54258, 50795, 51944, 59242, 52807, 50849, 52323, 52769, 50974, 54258, 65516, 52806, 53770, 52557, 50892, 52257, 55112, 51774, 54233, 51614, 50873, 51607, 58141, 52027 ]
[ 0, 713, 14899, 3495, 2214, 22750, 1626, 11098, 8, 8593, 26358, 6, 1969, 13, 5, 1619, 191, 50, 2365, 1061, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 2382, 3459, 29589, 6, 3152, 6757, 6, 8, 21072, 6, 2351, 10, 31612, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 2214, 22848, 10, 11739, 9, 211, 6, 230, 401, 6, 8, 211, 401, 40286, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 57913, 50818, 78808, 51809, 51762, 50425, 51762, 50433, 51676, 51353, 51829, 51353, 52328, 51359, 50796, 50435, 52333, 51343, 51676, 51189, 51982, 51295, 50452, 51859, 53082, 51617, 53090, 51829, 51359, 50796, 50452, 51829, 57622, 51982, 65601, 52328, 51343, 57731, 51676, 51353, 51982, 51264, 52333, 51655, 59412, 51676, 51218, 52333, 50983, 50442, 51859, 51692, 51617, 51161, 51829, 51103, 52177, 51829, 50942, 51982, 50897, 50419, 52328, 51235, 50427, 51676, 51538, 52333, 51161, 51982, 51518, 50461, 51676, 51353, 51829, 51353, 52328, 51359, 51871, 50993, 51332, 52442, 51217, 51795, 50988, 51184, 50885, 51184, 50847, 52442, 75696, 52442, 61797, 60517, 51871, 50823, 51570, 52568, 51666, 50802, 56403, 57859, 51908, 60271, 51871, 50993, 51601, 51982, 51295, 52333, 51343, 51676, 51189, 50419, 51908, 60134, 51666, 51156, 58976, 51829, 51359, 51164, 51184, 50432, 51859, 53082, 51617, 53090, 51531, 51066, 50946, 52442, 50885, 51184, 50433, 50872, 51184, 50909, 52442, 66651, 52267, 51531, 65836, 50791, 50817, 59412, 50791, 56987, 51982, 51345, 51666, 50993, 50442, 52328, 51175, 51908, 52715, 58977, 50988, 52442, 50450, 51676, 51353, 50848, 52442, 50847, 52442, 50451, 51982, 51264, 52333, 51655, 51871, 51066, 50935, 52737, 51621, 50949, 51601, 51871, 60066, 50791, 62968, 51666, 56059, 51908, 52715, 58977, 51871, 51066, 50452, 52333, 50983, 50453, 51676, 51218, 50457, 51908, 66426, 51666, 52715, 50817, 55753, 51829, 51103, 51859, 51692, 51164, 51407, 50946, 51407, 50422, 51617, 51161, 51531, 50993, 50885, 51407, 50872, 51407, 50423, 50909, 51407, 55994, 56987, 51531, 52284, 51829, 50942, 50445, 51982, 62150, 52328, 51235, 51618, 57916, 50988, 51352, 50455, 51676, 51538, 52333, 51161, 51982, 51518, 50848, 51407, 50847, 51407, 50456, 50935, 51352, 50459, 51666, 50860, 51601, 51908, 52715, 52302, 51871, 50993, 50428, 51908, 54179, 51666, 51805, 62602, 51531, 62281, 53375, 51346, 51332, 51184, 51217, 51184, 50441, 51829, 51353, 52328, 51359, 52587, 51184, 51871, 50993, 50988, 51184, 50885, 51184, 50847, 51184, 50909, 52442, 74004, 54085, 51871, 50823, 53375, 50910, 52478, 50791, 57834, 51666, 50802, 51871, 66900, 51908, 50860, 52368, 56022, 52676, 51871, 51066, 50439, 53375, 51116, 50443, 52333, 51343, 51982, 51295, 52645, 51294, 50447, 51908, 50823, 52368, 50910, 50451, 51871, 50840, 51666, 51156, 53736, 51617, 53090, 51829, 51359, 51531, 51066, 51691, 51346, 51164, 51184, 50460, 51758, 52500, 50946, 52442, 50885, 51184, 50461, 50872, 51184, 50909, 52442, 50796, 51039, 63863, 51531, 50860, 51691, 50938, 63842, 50817, 51647, 60488, 51829, 50854, 51982, 51345, 50461, 53311, 51059, 50799, 51871, 50805, 51666, 50993, 50422, 52328, 51175, 52368, 50910, 51908, 52715, 62938, 50988, 52442, 50429, 50848, 52442, 50430, 52333, 51655, 51982, 51264, 51871, 51066, 54237, 51346, 50847, 52442, 50935, 52737, 50431, 51995, 52500, 55094, 60644, 69824, 54237, 50808, 51871, 52911, 55094, 50455, 50791, 50817, 51601, 50798, 52302, 51666, 50860, 51871, 50938, 50424, 52368, 50938, 51908, 52715, 62938, 54237, 51346, 51871, 51066, 50431, 52645, 51364, 50432, 51676, 51218, 52333, 50983, 55094, 50437, 51908, 50823, 52368, 50910, 50441, 51666, 50860, 51871, 56022, 64223, 51758, 51356, 51164, 51407, 50449, 51617, 51161, 51829, 51103, 51691, 51116, 51531, 50993, 50946, 63783, 52568, 50885, 51407, 50872, 51407, 73466, 51407, 55779, 50817, 50799, 51531, 50803, 51691, 63814, 55094, 50424, 51829, 50854, 51982, 55640, 52328, 51235, 53311, 55188, 56987, 50988, 66984, 53785, 52333, 51161, 51982, 51518, 51995, 51196, 50848, 51407, 50847, 51407, 50436, 50935, 51352, 50439, 51666, 50860, 51871, 50938, 50443, 51908, 50860, 52368, 56022, 53851, 51871, 50993, 54237, 51116, 50451, 50798, 52193, 51908, 50823, 52368, 50910, 50460, 51995, 50975, 51666, 50823, 51871, 56776, 74756, 51809, 51531, 50803, 51908, 52734, 52587, 51235, 52047, 50821, 51401, 50821, 51871, 50993, 53375, 72877, 68936, 51829, 51353, 52328, 51359, 55094, 50424, 52047, 50827, 51401, 50827, 52261, 50428, 51815, 50921, 54321, 51695, 61361, 52947, 50933, 53375, 50910, 51871, 51805, 57320, 51995, 51160, 51401, 52589, 51695, 51625, 61184, 51401, 54220, 65266, 51282, 54332, 51695, 51031, 50449, 69211, 52320, 62962, 52587, 51167, 52047, 50821, 51401, 52589, 51695, 56995, 52047, 50827, 51401, 50827, 51871, 50805, 51666, 51331, 50895, 50799, 51815, 50880, 51908, 50860, 52368, 57370, 51695, 77459, 51282, 51167, 53375, 51346, 51871, 55886, 60480, 51982, 51295, 51995, 51460, 50832, 53578, 52333, 51343, 56498, 55229, 51401, 50921, 50427, 51908, 50823, 52368, 50910, 51320, 60759, 51282, 51167, 51666, 50811, 51871, 54218, 55498, 51556, 59764, 51617, 53090, 51829, 51359, 51758, 51603, 51616, 75631, 50821, 51531, 51066, 51691, 51346, 56498, 69824, 51616, 50827, 51118, 54225, 53641, 52159, 50921, 57471, 51695, 66803, 52159, 50827, 51531, 50860, 51691, 56022, 52349, 52587, 51167, 51118, 52589, 51695, 53551, 60488, 51118, 50827, 52105, 51809, 51083, 63159, 51695, 50949, 61797, 80148, 51758, 51160, 51616, 75631, 52589, 51695, 58146, 51616, 50827, 51118, 54225, 73247, 50843, 58167, 52159, 54332, 50898, 71150, 51083, 55422, 57512, 51829, 50854, 50440, 51982, 51345, 50441, 52587, 51379, 51666, 75909, 60178, 51871, 50805, 51320, 67562, 51118, 62888, 51320, 55245, 52328, 51175, 51083, 51192, 51908, 50860, 52368, 56776, 51759, 51031, 56403, 75911, 51982, 51264, 52333, 51655, 51995, 51160, 51401, 50858, 51083, 50821, 51871, 51066, 54237, 51346, 56498, 50817, 70782, 50827, 51083, 54225, 68316, 51557, 50921, 50419, 50804, 51695, 56828, 51557, 50933, 51871, 50803, 54237, 51582, 59485, 52660, 51167, 51083, 53393, 51695, 53551, 58976, 51083, 51014, 51020, 51014, 51401, 56214, 53593, 51089, 54078, 51695, 50949, 60644, 69396, 51401, 51454, 50843, 54586, 51995, 51354, 51083, 51454, 51020, 51454, 55094, 50448, 51401, 79597, 50803, 51666, 50860, 51871, 56022, 62353, 51908, 50860, 52368, 61061, 51463, 52193, 51401, 50975, 51083, 51354, 51871, 51066, 54237, 69365, 50949, 50460, 51676, 51218, 52333, 50983, 52660, 51379, 50832, 51695, 56583, 50817, 52177, 51815, 50911, 51908, 50860, 52368, 50938, 51320, 68936, 51666, 50860, 51871, 61061, 51463, 60517, 50791, 54396, 51617, 51161, 51829, 51103, 51758, 51167, 51616, 75631, 50821, 51531, 50993, 51691, 51116, 56498, 58167, 51616, 50827, 51118, 54225, 57244, 50843, 71150, 52159, 54332, 50817, 51570, 61184, 51083, 50806, 50442, 51531, 50803, 51691, 54692, 59587, 50832, 56877, 52587, 51354, 51320, 55245, 51118, 63556, 66803, 51829, 50942, 51982, 69821, 52328, 51235, 51083, 63159, 51636, 60506, 50949, 50799, 51982, 51518, 50415, 52333, 51161, 51995, 51483, 51401, 51192, 51083, 51192, 51320, 51031, 50419, 77600, 72154, 51666, 50860, 51871, 61676, 53578, 51758, 51354, 51616, 51192, 52368, 50938, 51908, 50860, 52777, 60854, 51616, 50874, 51871, 50993, 54237, 51116, 50843, 75347, 52645, 51354, 51815, 51167, 51320, 54151, 50832, 53785, 51908, 65733, 51815, 50827, 52368, 56776, 51695, 51031, 53550, 62968, 52660, 51021, 51763, 51192, 51871, 50910, 51666, 52865, 59252, 51763, 50874, 51531, 50803, 51908, 52764, 55498, 50448, 51953, 54527, 51676, 53898, 52587, 51167, 70613, 50975, 51915, 51520, 55453, 66803, 51020, 65889, 50809 ]
[ 0, 250, 765, 15855, 2125, 13, 5540, 12280, 642, 6, 42, 15229, 1931, 21683, 10, 12298, 1619, 4780, 4, 8504, 11, 83, 538, 19, 10, 112, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 7212, 20889, 6, 7630, 14805, 6453, 9, 7125, 8, 11098, 4, 20, 40286, 163, 119, 6, 83, 6, 8, 211, 146, 10, 4315, 2772, 6, 1271, 7, 5, 2214, 18, 19448, 8, 5679, 26709, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50628, 51601, 55039, 51709, 52890, 51267, 50417, 53715, 50987, 52566, 50866, 50418, 53748, 51008, 53260, 50942, 55039, 51709, 52890, 51267, 50419, 52890, 50942, 53436, 65739, 53715, 50987, 52566, 50866, 50421, 53748, 51008, 53260, 71876, 53436, 65605, 52890, 57629, 57215, 51576, 54029, 51400, 50428, 53472, 50978, 52697, 60713, 55052, 51051, 54895, 50925, 57215, 51576, 54029, 51400, 50430, 54029, 50977, 55554, 50937, 50431, 53472, 50978, 52697, 53961, 55052, 51051, 54895, 79939, 55554, 78344, 54029, 50977, 50436, 53715, 51253, 52566, 67272, 53748, 51006, 53260, 50937, 50439, 52650, 51008, 53039, 50925, 52566, 51056, 50440, 52566, 50874, 53647, 50808, 53715, 51253, 50441, 53748, 51006, 53260, 50937, 50442, 52650, 51008, 53039, 50925, 50443, 53647, 52711, 52566, 67267, 53472, 51253, 52697, 51056, 50448, 55052, 50959, 54895, 50925, 50449, 52697, 70147, 52890, 50844, 53436, 50833, 53472, 51253, 50451, 52697, 50822, 54723, 50800, 55052, 50959, 54895, 50925, 50453, 52890, 50844, 53436, 66145, 52697, 50822, 54723, 59747, 53748, 51391, 53260, 51351, 50459, 52650, 51380, 53039, 51109, 50460, 54029, 51380, 55554, 51109, 53748, 51391, 53260, 51351, 50461, 53260, 51194, 50799, 55802, 51043, 52650, 51380, 53039, 51109, 50415, 54029, 51380, 55554, 51109, 50417, 53260, 51194, 55802, 79865, 53472, 51218, 52697, 51318, 50436, 55052, 51803, 54895, 52783, 50437, 53472, 51218, 52697, 51318, 50438, 52890, 51183, 53436, 51103, 50439, 52697, 51417, 55052, 51803, 54895, 52783, 50440, 54723, 51562, 50441, 52890, 51183, 53436, 51103, 50443, 52697, 51417, 54723, 51562, 50796, 50430, 55039, 51400, 52890, 51411, 50432, 53715, 50925, 52566, 50955, 50433, 53748, 50942, 53260, 50942, 52890, 51411, 50434, 55039, 51400, 50435, 52890, 50854, 53436, 50810, 52566, 50955, 50436, 53715, 50925, 53260, 50942, 50437, 53748, 58927, 52890, 50854, 53436, 56532, 57215, 51233, 54029, 51043, 50442, 53472, 50933, 52697, 50959, 50443, 55052, 50878, 54895, 63634, 57215, 51233, 54029, 51043, 50445, 54029, 50933, 52697, 50959, 55554, 69775, 53472, 50933, 54895, 67168, 55052, 50878, 50448, 54029, 50933, 55554, 58332, 53715, 51267, 52566, 51267, 50452, 53748, 50955, 53260, 50955, 50453, 52650, 50933, 53039, 50942, 52566, 51267, 50454, 52566, 50844, 73283, 53715, 51267, 50455, 53748, 50955, 53260, 59631, 52650, 50933, 53039, 50942, 50457, 53647, 62371, 52566, 56569, 53472, 51267, 52697, 51109, 50461, 55052, 51051, 54895, 50910, 50799, 52697, 51109, 50415, 52890, 50822, 53436, 50810, 53472, 51267, 50416, 52697, 50874, 54723, 50854, 54895, 50910, 50417, 55052, 51051, 50418, 52890, 50822, 53436, 75802, 54723, 54611, 52697, 65369, 53748, 51108, 50422, 53260, 50915, 50423, 52650, 51174, 50424, 53039, 50977, 53260, 50915, 50425, 54029, 50978, 55554, 50977, 53748, 60184, 53260, 50854, 53039, 50977, 50427, 55802, 50854, 52650, 51174, 50428, 54029, 50978, 55554, 50977, 50430, 53260, 50854, 55802, 65053, 53472, 51199, 52697, 51199, 50435, 55052, 51328, 54895, 51177, 50437, 52890, 50878, 53436, 50925, 52697, 59612, 54895, 51177, 53472, 51199, 50439, 52697, 50833, 54723, 50808, 55052, 51328, 50440, 53436, 78013, 52890, 66479, 52697, 50833, 54723, 53668, 57215, 51391, 54029, 51134, 50449, 53472, 50942, 52697, 58248, 54029, 51134, 50451, 55052, 51008, 54895, 50925, 57215, 51391, 50452, 53472, 50942, 52697, 50959, 50453, 54029, 50942, 55554, 68714, 55052, 51008, 54895, 58298, 55554, 78767, 54029, 50942, 51601, 53472, 51680, 52697, 52015, 50417, 55052, 51148, 54895, 51047, 50418, 53472, 51680, 52697, 52015, 50419, 52890, 51790, 50420, 55052, 51148, 54895, 51047, 53436, 51790, 50421, 52697, 51592, 50422, 52890, 51790, 54723, 51662, 50423, 53436, 51790, 50425, 52697, 51592, 54723, 51662, 51809, 52650, 51400, 53039, 51400, 50418, 54029, 50866, 55554, 50937, 50419, 52697, 50978, 54723, 50917, 53039, 51400, 50420, 52650, 51400, 50421, 53039, 50874, 57545, 50833, 54029, 50866, 55554, 50937, 50422, 54723, 78768, 52697, 50978, 50424, 53039, 50874, 57545, 53049, 55052, 51484, 50427, 54895, 51162, 50428, 52890, 50892, 53436, 72373, 54361, 50845, 56976, 50892, 54895, 51162, 50430, 55052, 51484, 50431, 54895, 50851, 64156, 50810, 52890, 50892, 53436, 56427, 56976, 68570, 54361, 67632, 54895, 50851, 64156, 62903, 53748, 51097, 53260, 56692, 52650, 50878, 50439, 53039, 50959, 53260, 50981, 50440, 54029, 50854, 55554, 50854, 53748, 75576, 53260, 51008, 53039, 50959, 55802, 50942, 50442, 52650, 50878, 50443, 54029, 50854, 55554, 54746, 53260, 51008, 55802, 67168, 55052, 51255, 54895, 51203, 50448, 52890, 50977, 53436, 58262, 54361, 51174, 56976, 51058, 55052, 51255, 54895, 51203, 50451, 54895, 50822, 64156, 50808, 53436, 50978, 50452, 52890, 77462, 54361, 51174, 56976, 51058, 50454, 64156, 67230, 54895, 64801, 53748, 51637, 53260, 51310, 50459, 52650, 51642, 53039, 51043, 50460, 54029, 51775, 53748, 51637, 53260, 51310, 50461, 55554, 51400, 50799, 53260, 51212, 55802, 51101, 52650, 51642, 53039, 51043, 50415, 55554, 51400, 50416, 54029, 51775, 50417, 55802, 51101, 50418, 53260, 51212, 50433, 53472, 51080, 52697, 51080, 50435, 55052, 51283, 54895, 51318, 50436, 52697, 51080, 50437, 52890, 51637, 53436, 51295, 53472, 60934, 55052, 51283, 54895, 51318, 52697, 52168, 50439, 54723, 51591, 50440, 52890, 51637, 53436, 51295, 50442, 52697, 52168, 54723, 51591, 55746, 52650, 51411, 53039, 51025, 50428, 54029, 50987, 55554, 69353, 53039, 51025, 50430, 52697, 51008, 54723, 50897, 52650, 51411, 50431, 55554, 56504, 53039, 50854, 57545, 50812, 54029, 50987, 50433, 52697, 51008, 54723, 68066, 53039, 50854, 57545, 60831, 55052, 51411, 54895, 51377, 50438, 52890, 50978, 50439, 53436, 51058, 50440, 54361, 50892, 56976, 50901, 55052, 51411, 54895, 51377, 50441, 54895, 50878, 64156, 50897, 53436, 51058, 50442, 52890, 50978, 50443, 54361, 50892, 56976, 55945, 54895, 50878, 64156, 68788, 53748, 51267, 53260, 51267, 50449, 52650, 50933, 53039, 58238, 54029, 50851, 55554, 50833, 53748, 51267, 53260, 51267, 50452, 52650, 50933, 53260, 50942, 53039, 50955, 55802, 50955, 50453, 55554, 66145, 54029, 75635, 53260, 50942, 55802, 50955, 50457, 55052, 51775, 54895, 51025, 50458, 52890, 50933, 53436, 50959, 50460, 54361, 50878, 56976, 50955, 55052, 51775, 54895, 51025, 50461, 54895, 50851, 64156, 50808, 53436, 50959, 50799, 52890, 50933, 50415, 54361, 50878, 56976, 50955, 50416, 64156, 54275, 54895, 50851, 50418, 53748, 50915, 53260, 57933, 52650, 50878, 53039, 50959, 50421, 54029, 50987, 53260, 50915, 50422, 55554, 50937, 53748, 50915, 50423, 53260, 50813, 55802, 50840, 53039, 50959, 50424, 52650, 50878, 50425, 54029, 50987, 55554, 57817, 55802, 64502, 53260, 58528, 53472, 50901, 52697, 54342, 55052, 50838, 54895, 69116, 52890, 51174, 53436, 50987, 52697, 70139, 52697, 50978, 54723, 50937, 53472, 61647, 55052, 50838, 54895, 50845, 50436, 52890, 51174, 53436, 50987, 50437, 54723, 58020, 52697, 50978, 50442, 57215, 51172, 54029, 76097, 53472, 50874, 52697, 68164, 55052, 50822, 54895, 50854, 54029, 51203, 50446, 57215, 51172, 50447, 53472, 50874, 54029, 50844, 52697, 50874, 55554, 66372, 54895, 65261, 55052, 53140, 54029, 50844, 55554, 67230, 53472, 66983, 52697, 51212, 50457, 55052, 50977, 54895, 77568, 52890, 50955, 53436, 50925, 52697, 51212 ]
[ 0, 250, 2635, 8, 3722, 3495, 13305, 2125, 11, 211, 538, 6, 4246, 10, 16331, 33215, 16739, 9, 211, 119, 6, 1918, 6, 8, 211, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 1191, 13410, 228, 2289, 6, 42, 8787, 15229, 7630, 6568, 10, 11739, 9, 15073, 8, 15352, 30054, 4002, 6, 2351, 10, 25306, 5466, 14, 326, 16148, 23, 5, 1144, 40563, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 51279, 51313, 51027, 51313, 54734, 52096, 51050, 52096, 53975, 51333, 53502, 55752, 50619, 50899, 52528, 50438, 50619, 51027, 51490, 57528, 50916, 70240, 52845, 50294, 50918, 54569, 70240, 51333, 53523, 70240, 51333, 56014, 70240, 65461, 50619, 51214, 50918, 51086, 51490, 50861, 51490, 50456, 50623, 50899, 67273, 50916, 51074, 54662, 57055, 77418, 51333, 60284, 60998, 52136, 50906, 52136, 56759, 57345, 50899, 52980, 50438, 50619, 51120, 63656, 51490, 50877, 51490, 57528, 51120, 57055, 52845, 50313, 74606, 51315, 60998, 65186, 51108, 53337, 59219, 71445, 50983, 56014, 61817, 56656, 50619, 51026, 50918, 51086, 51047, 65218, 71136, 50795, 57528, 51234, 57055, 56793, 53561, 51050, 60998, 51141, 50906, 51141, 56759, 57345, 50899, 51452, 50438, 50621, 51120, 63656, 51148, 78872, 51540, 50623, 50900, 51490, 50871, 51490, 51279, 52045, 54439, 51447, 60496, 51314, 60027, 75575, 77132, 51036, 50462, 50861, 51939, 50876, 51939, 51540, 50900, 51145, 50916, 51145, 51085, 51036, 53645, 51145, 57267, 69600, 50876, 51183, 50951, 51183, 50916, 51161, 50462, 72683, 50474, 50989, 64815, 50918, 50480, 50861, 50889, 51540, 51026, 74882, 51077, 57025, 51492, 50438, 50623, 50899, 73757, 75377, 50968, 50918, 50951, 56811, 50989, 73757, 75377, 50968, 50918, 50951, 50918, 50462, 50916, 64806, 51161, 50968, 51161, 50474, 50989, 50918, 54594, 60939, 56831, 53561, 50989, 60939, 56831, 52910, 50916, 55890, 60939, 53182, 50861, 60939, 75628, 51492, 60496, 56472, 57260, 58627, 50973, 64424, 56157, 50989, 52728, 50916, 55695, 68504, 57414, 50623, 50989, 57543, 60250, 50995, 50457, 50623, 50458, 50623, 50459, 50623, 50460, 50622, 50461, 50622, 61791, 50861, 60939, 60473, 50932, 50415, 50622, 50416, 50621, 50417, 50621, 50418, 50621, 50419, 50621, 50420, 50620, 50989, 57543, 66102, 51330, 50421, 50620, 50422, 50620, 50423, 50620, 50424, 50619, 50425, 50619, 50426, 50622, 50916, 52382, 50861, 57820, 50973, 57820, 66243, 50634, 50899, 60268, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 55898, 60268, 60268, 50981, 55989, 60268, 60268, 50981, 56279, 60268, 60268, 58667, 50899, 60268, 60268, 50981, 71543, 60268, 60268, 50981, 54569, 60268, 75055, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 51034, 51315, 73587, 60268, 50981, 50417, 51050, 50948, 54569, 60268, 69836, 54527, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 62163, 75440, 52536, 55898, 62163, 50981, 55989, 62163, 50981, 71543, 62163, 50981, 54569, 62163, 50981, 53337, 62163, 57547, 50899, 62163, 69836, 51343, 55898, 62163, 50981, 55989, 62163, 78494, 51343, 71543, 62163, 50981, 54569, 62163, 51741, 50296, 51343, 53337, 62163, 57547, 50899, 62163, 51741, 50290, 51343, 55898, 62163, 50981, 55989, 62163, 51741, 50290, 51343, 71543, 62163, 50981, 54569, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 71543, 60268, 50981, 54569, 60268, 75055, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 51034, 51315, 73587, 60268, 50981, 50417, 51050, 50948, 54569, 60268, 69836, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 69836, 51343, 71543, 60268, 50981, 54569, 60268, 75055, 51343, 53337, 60268, 57547, 50899, 62163, 75440, 54527, 55898, 62163, 50981, 55989, 62163, 50981, 71543, 51411, 50906, 50981, 54569, 62163, 50981, 53337, 62163, 57547, 50899, 62163, 50981, 55898, 62163, 50981, 55989, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 75055, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 56692, 51315, 69266, 60268, 77052, 51050, 54651, 50899, 60268, 69836, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 69836, 51343, 55898, 60268, 50981, 55989, 60268, 75055, 51343, 71543, 60268, 50981, 54569, 62163, 75440, 54527, 53337, 62163, 57547, 50899, 62163, 50981, 55898, 51411, 50906, 50981, 55989, 62163, 50981, 64690, 62163, 50981, 54569, 62163, 50981, 53337, 62163, 57547, 50899, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 75055, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 56692, 51315, 69266, 60268, 77052, 51050, 54651, 50899, 60268, 69836, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 57543, 53218, 50899, 70866, 52297, 50275, 50918, 51214, 50918, 71543, 70866, 51013, 54569, 74694, 51016, 53337, 74694, 52530, 50278, 54527, 51234, 54527, 58296, 60599, 53585, 50899, 60599, 55451, 50899, 53177, 50313, 53177, 50275, 51551, 51214, 51551, 71543, 53177, 50313, 51090, 54569, 73523, 51054, 53337, 73523, 53531, 50280, 51552, 51085, 51552, 58296, 74760, 51237, 55898, 51066, 50877, 50824, 53492, 51761, 51234, 51761, 55989, 74760, 51237, 64690, 53177, 50313, 53177, 50275, 51343, 51214, 51343, 54569, 60599, 53765, 55774, 52530, 50287, 75677, 74694, 62138, 50619, 53667, 51941, 51279, 51941, 50899, 51161, 50877, 51161, 51018, 50444, 50634, 51027, 52140, 50899, 52140, 51018, 55902, 80095, 55752, 50877, 64900, 57524, 50861, 52845, 50315, 67302, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 79395, 50973, 52845, 50318, 51333, 63174, 78181, 67302, 51027, 52140, 50899, 52140, 51018, 55902, 80095, 55752, 50877, 64900, 57524, 50861, 52845, 50315, 67302, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 79395, 50973, 52845, 50318, 51333, 63174, 78181, 67302, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 51018, 58060, 52136, 50968, 52136, 60496, 64900, 59837, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 51018, 58060, 52136, 50968, 52136, 60496, 64900, 59837, 50876, 52845, 50320, 52845, 50301, 51314, 50899, 51314, 51018, 58973, 52845, 50322, 67995, 51027, 73790, 61341, 52845, 50320, 67302, 51114, 52845, 50325, 52845, 50301, 51314, 50899, 51314, 79395, 51114, 52845, 50325, 67995, 51027, 73790, 61341, 52845, 50320, 67302, 51027, 52168, 50899, 52168, 51018, 55902, 80095, 55752, 50877, 78181, 51333, 63809, 70313, 62543, 80095, 59837, 50876, 52845, 50320, 52845, 50301, 52168, 50899, 52168, 79395, 50973, 52845, 50320, 51333, 63174, 78181, 51333, 63809, 70313, 57997, 51027, 52168, 50899, 52168, 51018, 55902, 80095, 55752, 50877, 64900, 57524, 50861, 52845, 50315, 51333, 63809, 70313, 57997, 50876, 52845, 50320, 52845, 50301, 52168, 50899, 52168, 79395, 50973, 52845, 50318, 51333, 63174, 78181, 51333, 63809, 70313, 57997, 50876, 52845, 50320, 52845, 50301, 51314, 50899, 51314, 51018, 58973, 52845, 50322, 67995, 51027, 73790, 67889, 52845, 50322, 67302, 50902, 52845, 50322, 52845, 50301, 51314, 50899, 51314, 51018, 58060, 52845, 50320, 67995, 51027, 73790, 72396, 52845, 50320, 51333, 58365, 80095, 52216, 50301, 73790, 51108, 51034, 50877, 64900, 51074, 56945, 73790, 63821, 52845 ]
[ 0, 250, 765, 37903, 9, 41, 20425, 5175, 3836, 1349, 4246, 10, 38668, 483, 6, 2352, 6757, 6, 3459, 9590, 6, 21072, 6, 8, 20642, 2323, 4, 20, 33301, 16, 278, 11, 5, 762, 9, 381, 538, 19, 10, 1769, 20889, 9, 10529, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 272, 6, 83, 6, 163, 119, 406, 6, 381, 6, 8, 230, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 53470, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 59187, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 55758, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57431, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 64967, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 59187, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 55758, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 57431, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 53470, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 59187, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 55758, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57431, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 64967, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 59187, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 55758, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 57431, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 52906, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 55163, 52565, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 54260, 52210, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 57383, 52396, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 54260, 52349, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57383, 50818, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 60596, 52432, 50852, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 51100, 50852, 52565, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 54260, 52210, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 57383, 52396, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 54260, 52349, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 57383, 50818, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 60596, 52432, 50852, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 55163, 52565, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 54260, 52210, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 57383, 52396, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 54260, 52349, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57383, 50818, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 60596, 52432, 50852, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 51100, 50852, 52565, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 54260, 52210, 52117, 50917, 52751, 50917, 52174, 50917, 53512 ]
[ 0, 250, 19448, 19834, 2125, 19, 25771, 4785, 6, 4246, 13305, 6, 3551, 139, 6, 3459, 8669, 6, 21979, 9590, 6, 8, 38668, 22052, 6, 7630, 14805, 10, 1619, 8, 5679, 26709, 6711, 4, 8504, 11, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 26658, 23, 41, 178, 5285, 20889, 6, 19, 5, 40286, 163, 119, 1176, 406, 8, 163, 401, 12748, 5, 46336, 4811, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 54281, 51244, 54872, 52256, 52571, 52256, 51465, 52256, 52733, 51381, 51086, 51115, 50956, 51115, 50965, 51115, 51493, 51218, 52120, 58278, 50828, 55323, 51115, 55724, 51115, 59624, 51115, 50415, 52316, 52204, 50420, 53008, 51797, 56457, 51912, 51328, 55722, 52417, 53008, 73098, 51452, 51040, 51452, 50916, 51452, 50965, 51452, 51668, 50943, 54003, 50829, 53941, 51452, 58209, 51452, 54850, 51452, 59624, 51452, 50433, 54872, 52783, 52571, 52783, 51465, 52783, 54360, 51145, 51366, 51233, 52120, 52878, 53008, 51174, 51668, 50873, 56890, 51912, 51174, 52318, 50943, 55722, 52579, 51366, 50995, 54003, 50829, 54281, 51145, 54872, 52256, 52571, 52256, 51465, 52256, 52733, 52059, 51086, 51115, 50956, 51115, 50965, 51115, 51493, 51218, 64765, 55323, 51115, 55724, 51115, 59624, 71215, 53008, 51642, 56457, 51912, 50892, 55722, 52417, 53008, 50972, 51590, 51397, 51040, 51452, 50916, 51452, 51668, 50943, 54003, 50829, 58209, 51452, 54850, 51452, 50433, 54872, 52980, 52571, 52980, 51465, 52980, 54360, 51477, 51366, 51852, 52120, 52878, 53008, 51753, 51668, 50873, 56890, 51912, 51051, 52659, 50943, 55722, 53922, 51674, 52863, 51910, 50892, 51547, 50810, 51366, 50972, 54003, 54794, 51366, 50810, 54281, 51244, 54872, 52256, 51465, 52256, 51672, 52256, 51547, 50845, 52733, 51381, 51176, 51619, 50305, 50915, 51493, 51218, 51984, 51218, 64765, 55403, 50915, 58209, 50915, 50415, 52316, 52204, 50420, 53008, 51797, 51674, 50915, 56457, 51912, 51328, 51086, 51452, 55722, 50820, 55323, 51452, 50432, 53008, 51376, 51912, 51047, 51668, 51675, 51984, 51675, 54003, 57107, 54872, 52783, 51465, 52783, 51672, 52783, 54360, 51145, 51366, 51233, 52120, 52878, 53008, 51174, 56890, 51912, 51174, 55722, 52579, 51366, 50845, 51366, 50995, 54003, 50829, 54281, 51145, 54872, 52256, 51465, 52256, 51672, 52256, 51547, 50845, 52733, 52059, 51176, 51115, 51040, 51115, 51493, 51218, 64765, 55403, 51115, 58209, 71215, 53008, 51642, 51590, 50915, 56457, 51912, 50892, 55722, 52417, 53008, 50972, 51674, 51452, 51027, 51452, 51040, 51452, 50916, 51452, 51668, 50943, 54003, 50829, 53941, 51452, 58209, 51452, 54850, 51452, 50433, 54872, 52980, 51465, 52980, 51672, 52980, 50435, 66178, 54360, 51477, 51366, 51852, 52120, 52878, 53008, 51753, 51668, 50873, 56890, 51912, 51051, 52659, 50943, 55722, 52579, 51910, 50892, 51366, 50972, 54003, 54794, 69386, 54281, 51310, 54872, 51314, 52571, 51314, 51465, 51314, 51366, 51312, 51176, 51145, 50956, 51145, 51493, 51127, 51668, 51127, 64765, 55403, 51047, 55724, 51047, 50415, 52316, 75192, 52733, 51477, 56457, 51912, 50873, 55722, 52417, 51374, 51174, 53008, 51006, 54003, 50829, 57144, 51244, 51772, 51312, 53042, 66782, 51145, 50965, 51145, 51668, 51127, 53240, 51127, 64765, 53034, 50845, 55724, 51047, 59624, 51047, 50439, 53148, 79882, 54223, 51477, 54577, 50901, 51471, 52252, 53562, 52326, 50932, 51687, 50932, 51231, 50932, 51327, 50932, 51664, 50873, 54568, 50901, 55722, 50820, 52736, 53586, 52812, 51006, 54568, 50901, 54003, 50829, 52736, 50845, 54281, 51310, 54223, 51148, 54577, 55428, 51493, 51218, 64765, 52252, 53295, 50415, 52830, 75192, 52733, 51965, 51176, 51741, 50303, 66533, 50981, 51471, 55403, 50915, 55323, 50915, 55724, 55382, 54872, 50932, 51687, 50932, 51719, 50932, 51672, 50932, 51772, 50995, 55722, 52417, 51374, 51174, 53008, 52415, 50300, 51568, 50303, 71321, 50892, 51493, 50873, 54003, 50829, 55403, 50845, 55323, 50845, 55724, 50845, 57144, 51244, 51818, 51148, 52733, 51337, 51027, 51741, 50305, 68184, 50981, 51668, 51218, 64765, 53941, 50915, 58209, 50915, 54850, 75408, 53148, 79882, 52109, 51637, 51366, 51253, 54003, 52802, 51249, 51097, 52812, 52845, 50301, 51741, 50305, 68184, 50981, 55722, 50820, 53941, 50915, 58209, 50915, 54850, 57414, 51719, 50838, 51664, 50905, 51668, 50873, 54003, 54794, 69386, 54281, 51148, 55349, 52256, 52571, 52256, 51687, 52256, 51651, 52256, 52812, 51148, 51086, 66533, 67182, 50981, 51493, 50943, 64765, 55323, 50915, 55724, 50915, 59558, 50915, 50415, 52316, 75192, 53008, 51965, 56457, 51547, 51911, 50303, 71321, 71274, 50892, 51493, 50873, 55722, 50820, 55323, 50845, 55724, 50845, 59558, 53387, 51912, 52415, 50301, 51310, 51040, 51310, 50916, 51310, 51668, 51218, 54003, 50829, 53941, 51115, 58209, 51115, 54850, 51115, 50433, 55349, 51079, 52571, 51079, 51687, 51079, 51651, 51079, 57144, 51244, 55349, 52147, 52326, 51749, 51465, 51314, 51366, 51312, 52120, 56068, 53148, 79882, 52733, 51477, 56890, 51818, 51253, 51664, 50873, 55872, 50942, 51040, 50955, 70584, 52659, 50925, 55722, 50820, 52398, 50878, 58209, 50878, 54850, 50878, 50453, 52109, 51309, 50454, 55872, 50942, 51040, 50955, 70584, 52659, 50925, 52398, 50878, 58209, 50878, 54850, 58325, 51719, 51058, 52812, 51006, 54003, 57059, 54577, 50942, 51040, 50955, 70584, 77460, 52659, 50925, 52252, 50878, 58209, 50878, 54850, 50878, 59624, 50878, 55609, 51244, 52812, 51337, 53042, 52069, 50956, 67182, 75591, 50981, 51522, 50943, 64765, 53034, 51714, 55724, 50915, 59558, 50915, 58873, 50915, 50415, 52316, 75192, 51547, 51253, 56457, 55349, 50932, 52571, 50932, 51687, 50932, 51651, 50932, 53008, 52845, 50307, 67182, 75591, 50981, 55722, 50820, 55724, 50915, 59558, 50915, 58873, 57173, 51912, 50905, 51522, 50873, 54003, 50829, 77592, 50981, 55349, 51333, 54872, 51333, 52571, 51333, 51687, 51333, 51547, 71326, 67182, 75591, 50981, 51522, 50943, 64765, 55724, 50915, 59558, 50915, 58873, 75408, 52316, 63236, 51772, 51166, 56890, 54311, 50981, 53075, 51333, 52303, 51333, 51410, 51333, 51231, 51333, 51256, 50995, 51522, 50925, 55722, 55223, 51699, 51108, 50453, 71930, 55724, 65002, 54577, 50942, 77663, 51522, 50925, 52252, 50878, 59558, 58325, 51322, 51166, 54003, 57059, 53602, 50942, 74372, 51098, 50925, 52072, 50878, 53827, 65264, 65080, 54648, 50878, 55934, 51244, 54369, 52256, 52326, 52256, 52102, 52256, 51651, 52256, 52733, 51381, 54019, 51353, 51705, 50943, 64765, 76454, 50415, 53148, 52204, 50420, 52812, 51797, 56457, 51664, 51328, 51040, 68184, 67182, 50981, 55722, 50820, 58209, 50915, 54850, 50915, 59558, 57173, 52812, 51376, 51705, 50873, 54003, 57107, 54369, 52783, 52326, 52783, 52102, 52783, 51651, 52783, 55827, 51145, 54503, 50844, 51366, 51233, 50877, 74915, 50981, 51705, 51127, 53240, 51127, 64765, 55769, 50915, 70774, 63939, 53076, 51363, 50444, 52812, 51174, 56890, 51934, 50844, 51664, 79339, 67680, 50981, 55722, 50820, 54850, 50915, 59624, 65421, 51590, 71834, 51917, 50995, 54003, 50829, 55934, 51145, 54369, 52256, 52326, 52256, 52102, 52256, 51651, 52256, 51674, 50844, 52733, 52059, 51027, 51741, 50305, 50981, 51705, 51127, 51984, 51127, 64765, 53941, 50915, 58209, 65177, 51547, 51363, 50420, 52812, 51642, 56457, 51934, 50844, 51664, 64233, 67680, 50981, 55722, 50820, 54850, 50915, 59624, 70583, 51590, 71895, 52812, 50972, 54003, 57107, 54369, 52980, 52326, 52980, 52102, 52980, 51651, 52980, 55827, 51477, 54503, 50844, 51366, 51852, 50877, 74915, 50981, 51705, 51127, 53240, 51127, 64765, 55769, 50915, 70774, 63939, 53076, 51363, 50444, 52812, 51753, 54003, 52802, 51934, 50844, 51664, 51051, 50916, 67680, 50981, 55722, 50820, 54850, 50915, 59624, 65421, 51590, 71834, 52458, 50892, 51917, 50972, 54003, 50829, 76269, 55934, 51244 ]
[ 0, 713, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3495, 6, 6670, 10, 19448, 8, 15352, 30054, 5466, 4, 590, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 230, 3694, 6, 24, 1575, 10, 11739, 9, 21072, 6, 6755, 12547, 6, 38668, 11212, 6, 31391, 1672, 9590, 6, 8, 38668, 22052, 4, 20, 33215, 16739, 9, 272, 406, 6, 230, 119, 6, 8, 12608, 73, 387, 428, 3639, 7, 63, 32625, 13569, 9862, 6, 442, 24, 10, 1969, 2564, 13, 10, 5679, 26709, 50, 1619, 12, 14694, 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 ]	[ 57333, 50816, 52231, 50416, 50816, 52231, 67745, 52231, 61889, 52611, 63741, 52611, 50425, 50816, 52445, 77627, 52445, 67654, 51693, 50431, 50816, 51693, 57671, 51306, 57008, 57481, 60707, 50440, 50816, 65112, 50816, 64734, 50816, 55686, 50816, 60145, 72358, 59986, 57098, 50816, 53017, 50816, 50820, 56032, 57335, 50816, 57517, 50803, 56703, 54880, 52279, 52227, 50803, 52679, 52204, 51783, 52204, 51986, 52204, 50420, 50903, 52952, 50903, 50811, 52129, 52884, 50801, 50864, 51528, 50811, 51768, 55477, 52013, 52417, 52013, 56305, 50804, 54736, 52625, 62181, 52679, 52204, 51528, 50800, 57330, 52204, 50415, 51783, 52204, 51986, 52204, 50420, 50903, 52952, 50903, 50811, 52129, 52485, 50798, 50864, 51528, 60208, 50903, 59346, 52013, 59094, 52013, 59551, 52013, 62467, 56657, 51769, 57485, 52013, 56305, 50804, 54736, 52625, 71573, 50823, 62177, 57460, 50804, 50820, 53526, 50820, 57471, 56038, 50804, 57583, 50798, 61901, 57752, 51670, 50800, 50703, 50285, 52204, 51567, 52204, 50415, 57330, 52204, 52679, 52204, 51783, 52204, 51986, 52204, 50420, 50903, 52952, 50903, 63989, 52129, 52485, 50798, 50864, 51528, 52628, 50816, 56818, 50816, 53744, 50816, 57074, 50816, 50820, 51694, 52600, 50804, 65192, 50820, 60409, 65192, 50820, 53012, 65192, 58780, 50804, 65192, 52616, 50804, 65192, 50820, 53526, 65192, 50820, 52612, 65192, 56038, 50804, 65192, 71572, 75534, 53217, 50798, 52625, 66426, 51132, 51036, 52584, 51036, 50799, 53733, 51801, 55321, 51801, 53511, 51801, 74119, 50800, 51093, 52204, 50420, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 51528, 51421, 50864, 51533, 51036, 52585, 51036, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 51957, 51036, 52458, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 58943, 51243, 53733, 51243, 53949, 51243, 51957, 51036, 52458, 51036, 51528, 51421, 50864, 51165, 52096, 50418, 50903, 59346, 52013, 58010, 60039, 52013, 50820, 51544, 63444, 52013, 62467, 72793, 59816, 52013, 52600, 50804, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 58943, 51801, 53370, 51801, 53949, 51801, 51533, 51036, 52585, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51533, 51036, 52585, 51036, 51528, 51421, 50864, 51039, 53272, 51287, 51225, 64453, 50864, 53550, 54736, 57444, 50860, 51180, 53996, 51287, 51225, 52163, 50816, 59177, 56771, 54924, 51243, 53370, 51243, 53949, 51243, 56885, 51243, 51338, 51036, 51416, 51036, 50799, 74119, 50800, 51488, 74818, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51338, 51036, 51416, 51036, 50799, 54924, 51243, 53370, 51243, 53949, 51243, 53511, 51243, 61558, 50864, 51093, 52140, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 53996, 51287, 51225, 50823, 51165, 51108, 56672, 66426, 53733, 51801, 54884, 51801, 55321, 51801, 51132, 51036, 52584, 51036, 50799, 74119, 50800, 51375, 52204, 50420, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51132, 51243, 52584, 51036, 51528, 51421, 50864, 51039, 50864, 51768, 51437, 63726, 52013, 52417, 52013, 51437, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 54884, 51243, 55575, 51243, 53370, 51243, 51533, 51036, 52585, 51036, 51088, 52204, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 55575, 51243, 53370, 51243, 56648, 51243, 51533, 51036, 52585, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 56059, 50816, 51437, 50864, 56594, 54028, 50816, 56038, 50816, 50820, 51899, 51437, 54232, 50852, 66426, 58943, 51801, 55575, 51801, 53370, 51801, 51957, 51036, 52458, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51957, 51036, 52458, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 54884, 51243, 55575, 51243, 53370, 51243, 51602, 51036, 54785, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 54884, 51243, 55575, 50825, 53733, 51243, 51602, 51036, 54785, 51036, 51154, 51801, 51528, 51421, 62016, 50903, 59346, 52013, 58010, 60039, 52013, 50820, 51544, 63444, 52013, 62467, 72793, 59816, 52013, 52600, 50804, 54736, 57444, 56059, 50816, 51437, 50864, 56594, 54028, 50816, 56038, 50816, 50820, 51899, 51437, 54232, 50852, 66426, 56833, 51801, 54511, 51801, 53733, 51801, 51910, 51184, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51910, 51184, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 51382, 57621, 50809, 51287, 51225, 54178, 50852, 66426, 56833, 51243, 56648, 51243, 53733, 51243, 51957, 51184, 52458, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 56833, 51243, 56648, 51243, 54884, 51243, 54924, 51243, 51338, 51352, 51416, 51036, 51301, 51243, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 56059, 50816, 51437, 50864, 56594, 54028, 50816, 56038, 50816, 50820, 51899, 51437, 50864, 51338, 51072, 56871, 51858, 66426, 55321, 52204, 53511, 52204, 55014, 52204, 59642, 52204, 59327, 54270, 51132, 51184, 52584, 51036, 50799, 74119, 50800, 51304, 52204, 50420, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51533, 51184, 52585, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 52625, 50860, 51180, 50864, 52320, 54232, 50804, 54736, 52625, 66426, 51957, 51184, 52458, 51151, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 53733, 52503, 55321, 52503, 56885, 52503, 55014, 52503, 60047, 51748, 52458, 51151, 51394, 52204, 51528, 51421, 50864, 51957, 51184, 51039, 50864, 51768, 51437, 63726, 52013, 52417, 52013, 51437, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50816, 53547, 66426, 53370, 54270, 53949, 54270, 56885, 54270, 55014, 54270, 55931, 54270, 60047, 52720, 50799, 74119, 50800, 51533, 51184, 52585, 56100, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51533, 51184, 52585, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 51068, 52716, 50860, 51335, 75331, 53370, 52503, 53949, 52503, 56885, 52503, 55931, 52503, 60047, 52503, 69632, 52503, 50799, 74119, 50800, 51374, 51184, 52474 ]
[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 19, 10, 2842, 9, 1619, 4780, 6, 4246, 21979, 8669, 6, 21072, 6, 13305, 6, 21979, 9590, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 112, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 272, 6, 163, 119, 6, 230, 119, 1176, 406, 6, 8, 211, 3639, 7, 63, 32625, 13569, 9862, 6, 442, 24, 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 ]	[ 52552, 50624, 65237, 51703, 51280, 51703, 51232, 51703, 51461, 51637, 52091, 51080, 50885, 51642, 51149, 51642, 50801, 54109, 51464, 51750, 61819, 61819, 62307, 64059, 50422, 50909, 51051, 52352, 50797, 52966, 51149, 51051, 50903, 57670, 51464, 52223, 61938, 50909, 68630, 51461, 61483, 51051, 50801, 54715, 52223, 52465, 53115, 52040, 51961, 51198, 51961, 51232, 51961, 51099, 51961, 51493, 51637, 51678, 51080, 50885, 51642, 51439, 51642, 50801, 54109, 51464, 51750, 59721, 64059, 50446, 50909, 51051, 52352, 50797, 52846, 51439, 51051, 50903, 57670, 51464, 52223, 60535, 51198, 52167, 50909, 75574, 51099, 50827, 51493, 61483, 51051, 50801, 54715, 52223, 52465, 50891, 64680, 51939, 51280, 51939, 51144, 51939, 51140, 52519, 51821, 51243, 50872, 51642, 51257, 51642, 50801, 54109, 51464, 51750, 62307, 50850, 71437, 50909, 51051, 52352, 50797, 52966, 51257, 51051, 50903, 57670, 51464, 52223, 61938, 50909, 68630, 51140, 71489, 51051, 50801, 54715, 52223, 52465, 53115, 51140, 54532, 50847, 51642, 51007, 51051, 50801, 54109, 51464, 51750, 59721, 51257, 51051, 50446, 51007, 51051, 52352, 50797, 52846, 51144, 54298, 52548, 51051, 50903, 57670, 51464, 52223, 60535, 51119, 52179, 51257, 75574, 51153, 50912, 51522, 50908, 51007, 51051, 50801, 54715, 52223, 52465, 50891, 72722, 51592, 51198, 51592, 51144, 51592, 51099, 51592, 51098, 51283, 52016, 51243, 50847, 51642, 50801, 53735, 51750, 52223, 66478, 51007, 62706, 54412, 78893, 51257, 62706, 51464, 52928, 52548, 62522, 54617, 55033, 59536, 70258, 51257, 68630, 51098, 51000, 51007, 51051, 50801, 53735, 52621, 51098, 51627, 50847, 51642, 50804, 54617, 60067, 51007, 62522, 56870, 67394, 53366, 54146, 51257, 51051, 50801, 53735, 52772, 52040, 51006, 51198, 51006, 51144, 51006, 51099, 51006, 52548, 62522, 54617, 59753, 51257, 62522, 56870, 72204, 54128, 50971, 51007, 51051, 51289, 67196, 50828, 65237, 51703, 51280, 51703, 51232, 51703, 51150, 51477, 51979, 51194, 50885, 51466, 50801, 54109, 51464, 51750, 61819, 61819, 62307, 50847, 69280, 52172, 50942, 50909, 51365, 52352, 50797, 52966, 51979, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 61938, 50909, 51365, 50434, 51098, 50835, 52491, 50942, 77544, 50801, 54715, 52223, 52465, 53115, 51869, 51703, 52040, 51703, 51232, 51703, 51493, 51637, 51979, 51194, 51217, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 52172, 50942, 50935, 51365, 52352, 50797, 52846, 51979, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 60535, 50935, 51365, 50458, 52491, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 62871, 63872, 51280, 52192, 51144, 51738, 51119, 53674, 51140, 51477, 51978, 51194, 51164, 51466, 50801, 54109, 51464, 51750, 62307, 51708, 54211, 50850, 69280, 51280, 50982, 51978, 50942, 50909, 51365, 52352, 50797, 52966, 51280, 52179, 51978, 50942, 51257, 51365, 50903, 57670, 51464, 52223, 61938, 51144, 51524, 52491, 50942, 50909, 51365, 50434, 51119, 50835, 51140, 50835, 52394, 50942, 50850, 51365, 50801, 54715, 52223, 52465, 53115, 52040, 51703, 51198, 51703, 51144, 51703, 51099, 51703, 51098, 51679, 52228, 51562, 50988, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 50935, 51365, 52352, 50797, 52846, 51007, 51365, 50903, 57670, 51464, 52223, 60535, 51273, 50933, 50935, 51365, 50458, 51098, 61483, 51365, 50801, 54715, 52223, 52465, 50891, 65237, 51961, 51280, 51961, 51232, 51961, 51461, 51283, 52394, 51194, 50885, 51466, 50801, 54109, 51464, 51750, 62307, 50847, 69280, 52228, 50942, 50909, 51365, 50801, 53735, 51750, 52465, 52966, 52491, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 61938, 51280, 52167, 50909, 51365, 50434, 51232, 50827, 51098, 50933, 51979, 50942, 77544, 50801, 54715, 55623, 52167, 50852, 52167, 50438, 51869, 51961, 52040, 51961, 51232, 51961, 51493, 51637, 53319, 51194, 51217, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 52380, 50942, 50935, 51365, 52352, 50797, 52846, 53319, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 60535, 51232, 52167, 50935, 51365, 50458, 51099, 50827, 51493, 50825, 51979, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 64680, 51703, 51280, 51703, 51144, 51703, 51140, 51637, 52172, 51194, 51164, 51466, 50801, 54109, 51464, 51750, 62307, 50850, 69280, 51979, 50942, 50909, 51365, 52352, 50797, 52966, 51979, 51194, 51257, 51365, 50903, 57670, 51464, 52223, 61938, 50909, 51365, 50434, 51140, 50825, 51978, 50942, 50850, 51365, 50801, 54715, 52223, 52465, 53115, 51869, 51703, 52040, 51703, 51198, 51703, 51098, 51283, 51979, 51351, 50988, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 50935, 51365, 52352, 50797, 52846, 51439, 51365, 50903, 57670, 51464, 52223, 60535, 50935, 51365, 50458, 51098, 50933, 51979, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 64680, 51703, 51280, 51703, 51232, 51703, 51216, 51381, 52380, 51194, 50946, 51466, 50801, 54109, 51464, 51750, 62307, 50850, 69280, 52380, 51003, 50909, 51365, 52352, 50797, 52966, 51149, 51365, 50903, 57670, 51464, 52223, 61938, 50909, 51365, 50434, 78480, 53319, 58434, 51365, 50801, 54715, 52223, 52465, 63122, 52380, 53894, 51869, 51703, 52040, 51703, 51232, 51703, 51984, 51477, 52833, 51194, 51217, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 53319, 50942, 50935, 51365, 50801, 54715, 52223, 52465, 52846, 52172, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 60535, 50935, 67952, 53796, 72204, 51098, 50835, 51979, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 62871, 63872, 51280, 52192, 51144, 51738, 51119, 53674, 51140, 51637, 52394, 51194, 51164, 51466, 50801, 54109, 51464, 51750, 62307, 51708, 54211, 50850, 69280, 51280, 50982, 52228, 51003, 50909, 51365, 52352, 50797, 52966, 51280, 52179, 51257, 51365, 50903, 57670, 51464, 52223, 61938, 51144, 51524, 50909, 51365, 50434, 51119, 50835, 51140, 50825, 52228, 58434, 51365, 50801, 54715, 52223, 52465, 63122, 52394, 53894, 52040, 51961, 51198, 51961, 51144, 51961, 51099, 51961, 51098, 51749, 52228, 51003, 50988, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 50935, 51365, 50801, 54715, 52223, 52465, 52846, 52228, 50942, 51257, 51365, 50903, 57670, 51464, 52223, 60535, 51876, 52167, 52394, 50942, 50935, 67952, 53796, 72204, 52040, 50827, 51098, 50941, 54727, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 65237, 51703, 51280, 51703, 51232, 51703, 51461, 51637, 52394, 53454, 52091, 51080, 65852, 51080, 50885, 51642, 52138, 51642, 50801, 54109, 51464, 51750, 62307, 64059, 50422, 50909, 51051, 52352, 50797, 52966, 51149, 51051, 50903, 57670, 51464, 52223, 61938, 50909, 68630, 51461, 61483, 51051, 50801, 54715, 55623, 52167, 50852, 52167, 50438, 58001, 63872, 52040, 52192, 51232, 51738, 51099, 53674, 51493, 51627, 51678, 51080, 79045, 51080, 50868, 51642, 52548, 51642, 50801, 54109, 51464, 51750, 59721, 51869, 54211, 50935, 51051, 50446, 52040, 50982, 51149, 51051, 52352, 50797, 52846, 52040, 52179, 51439, 51051, 50903, 57670, 51464, 52223, 60535, 51232, 51524, 51149, 75574, 51099, 50835, 51493, 50912, 50935, 51051, 50801, 54715, 52223, 52465, 50891, 64680, 51961, 51280, 51961, 51144, 51961, 51140, 51477, 51701, 51080, 65852, 51080, 50872, 51642, 51649, 51642, 50801, 54109, 51464, 51750, 62307, 50850, 71437, 50909, 51051, 52352, 50797, 52966, 51257, 51051 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 9066, 2821, 16235, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 18558, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 6, 70, 1375, 23, 41, 178, 5285, 2877, 11, 163, 3694, 6, 19, 10, 33215, 16739, 9, 272, 6, 274, 10431, 6, 8, 163, 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, 0, 0, 0, 0, 0 ]	[ 57128, 50968, 61907, 57341, 51036, 56141, 56100, 50973, 51631, 50951, 51646, 50968, 50795, 56807, 57883, 58035, 50918, 60541, 54994, 50861, 51631, 74174, 50437, 51001, 73757, 56039, 51114, 50918, 51086, 50918, 61570, 50918, 57551, 55648, 61907, 50795, 51357, 51036, 51266, 51036, 56141, 56100, 51086, 56190, 51631, 50916, 57022, 51736, 51315, 51646, 51120, 55648, 51918, 51086, 51798, 50916, 56190, 51923, 51120, 61907, 50795, 56807, 57883, 67795, 50918, 77853, 76180, 60541, 54994, 50876, 51631, 50968, 51736, 50951, 52262, 50973, 56359, 51001, 50818, 51324, 56039, 51114, 50795, 51357, 50918, 51395, 50918, 70074, 50918, 57289, 61907, 57341, 56100, 50973, 51631, 50951, 50795, 52457, 52765, 52376, 53505, 52376, 60847, 50968, 51918, 52376, 51798, 51652, 51923, 52376, 50795, 54960, 57022, 57883, 58035, 50918, 51667, 53561, 50861, 51631, 50968, 50807, 52376, 53218, 50916, 51798, 75022, 51652, 51923, 50968, 50795, 52376, 50795, 55331, 57883, 73470, 54994, 50877, 50795, 51667, 58938, 51114, 57022, 54253, 52457, 52424, 51114, 51798, 51120, 76679, 51652, 50800, 54955, 50918, 51667, 52115, 50899, 50795, 52135, 52296, 52135, 50991, 54439, 51736, 50973, 50795, 51667, 51646, 50877, 77821, 50918, 51667, 51918, 50899, 50795, 51652, 51798, 50989, 50795, 51652, 53312, 50877, 50795, 57289, 61907, 77531, 56100, 50973, 51631, 50951, 50795, 52457, 52765, 52376, 60847, 50968, 50795, 52376, 50807, 50454, 51652, 56388, 52376, 50830, 56807, 57883, 67795, 50918, 51667, 53561, 50876, 51631, 50968, 50795, 52376, 52728, 51085, 52809, 51026, 50800, 52376, 51754, 50900, 50800, 61097, 51652, 52567, 68134, 60003, 52376, 50800, 58479, 73470, 51161, 50899, 51161, 51667, 53561, 50902, 51631, 51114, 50807, 52457, 52728, 51120, 53312, 60003, 51652, 54093, 58276, 56807, 66107, 62352, 50918, 51667, 52115, 50973, 50795, 52135, 52296, 52135, 58938, 50902, 51736, 51220, 50795, 51667, 52262, 51667, 51646, 51114, 57883, 77821, 66584, 51652, 51918, 50877, 53658, 51652, 63419, 50902, 51923, 51114, 50795, 54960, 55648, 57022, 58035, 55834, 52376, 51736, 51652, 51646, 51086, 73757, 68900, 50918, 51114, 50918, 51667, 52728, 52376, 51923, 51652, 52567, 52522, 50800, 55524, 55890, 60939, 50807, 51315, 50918, 52376, 52910, 50916, 54828, 56190, 51736, 51086, 50795, 52457, 52262, 52376, 51724, 50916, 54828, 56190, 73470, 50918, 52522, 51918, 51086, 50795, 51652, 52513, 52522, 51798, 50916, 54828, 56190, 55000, 51652, 59592, 51086, 50795, 53997, 51036, 50916, 79190, 51036, 50973, 51036, 50432, 52457, 52262, 52376, 51724, 51667, 51918, 52376, 51798, 52376, 50795, 57126, 56190, 57367, 50795, 51324, 51036, 51086, 56100, 50973, 50795, 52522, 51605, 50426, 51001, 55648, 51646, 51114, 50795, 51395, 50918, 51600, 50918, 54594, 54666, 67795, 50918, 52143, 50918, 51266, 50918, 51182, 54994, 50916, 53471, 52376, 51620, 50861, 71068, 52113, 52765, 52113, 51736, 50916, 53505, 52200, 51646, 50973, 57367, 50795, 51324, 50918, 54333, 50918, 51395, 50918, 51600, 66584, 52135, 51918, 50989, 51798, 50973, 57367, 50795, 52200, 51923, 50989, 50795, 52135, 50795, 57844, 55648, 50795, 51841, 50918, 52113, 50807, 52830, 50918, 51357, 50918, 51266, 54994, 50861, 51631, 50973, 57367, 50795, 52200, 53182, 50861, 51646, 50902, 61907, 50795, 51799, 50918, 51633, 50918, 52371, 50918, 76990, 51600, 56027, 50877, 51798, 50902, 61907, 51923, 50877, 50795, 57289, 57022, 67795, 50918, 52143, 50918, 77853, 51093, 54994, 50876, 51631, 50968, 79564, 52113, 52765, 52113, 51736, 50876, 53505, 52200, 51646, 51001, 61907, 50795, 51324, 50918, 54333, 50918, 51357, 50918, 51395, 66584, 52135, 53218, 50973, 51798, 51001, 61907, 51923, 50973, 50795, 52135, 52567, 52135, 50800, 57844, 55648, 77531, 50918, 52372, 50807, 55780, 50918, 51266, 50918, 51182, 54994, 50861, 51631, 50973, 55648, 50795, 53179, 53182, 50861, 51646, 50902, 61907, 73470, 50918, 52113, 50918, 55528, 79383, 50918, 51107, 56027, 50877, 51798, 50902, 61907, 51923, 50877, 50795, 54960, 55648, 67795, 50918, 52143, 50918, 51299, 50918, 76180, 51266, 54994, 50861, 53471, 51652, 51620, 50876, 55648, 50795, 52113, 51736, 77916, 52113, 52262, 52200, 51646, 51001, 61907, 50795, 51324, 50918, 54333, 50918, 52065, 50918, 51395, 50918, 51600, 66584, 52135, 51918, 50973, 51798, 51001, 72623, 52200, 54896, 51114, 59831, 52135, 50830, 57844, 55648, 77531, 50807, 52113, 50807, 52830, 50807, 51357, 50918, 51266, 54994, 50861, 51631, 50973, 57367, 63534, 50807, 52200, 50807, 52481, 53182, 50861, 51646, 51120, 57543, 64953, 51633, 50807, 52371, 50807, 67769, 51107, 53312, 52135, 69189, 50861, 72854, 50818, 57289, 51036, 51085, 51036, 51667, 53504, 51652, 51835, 51652, 53182, 52135, 51646, 51667, 52831, 51652, 51820, 51667, 50807, 50461, 50989, 78540, 50818, 58066, 51036, 51001, 56100, 51652, 51631, 51667, 51736, 51652, 51918, 52135, 53312, 52376, 50795, 54594, 71235, 50795, 51841, 50918, 51652, 50807, 51357, 50818, 72285, 50918, 50767, 50287, 54994, 50916, 67755, 52437, 50861, 71235, 50795, 52376, 51036, 51357, 52209, 50916, 67755, 52565, 50861, 71235, 50795, 51799, 50918, 51357, 52210, 50916, 67755, 52396, 50861, 71235, 50795, 51357, 52349, 50916, 50795, 51093, 50818, 54594, 54666, 55648, 67795, 50918, 51357, 52432, 50916, 67583, 52437, 50876, 55648, 50795, 51093, 52209, 50951, 50795, 51266, 51646, 50973, 73412, 50807, 51324, 50918, 51182, 52728, 51001, 50807, 51600, 50807, 57289, 61907, 77531, 50918, 51301, 50818, 51088, 50818, 51357, 50818, 55780, 50918, 52830, 50918, 51266, 50918, 51374, 50918, 72285, 50918, 50767, 50287, 54994, 50973, 51631, 50951, 50795, 52457, 50800, 51301, 50818, 51088, 50818, 51357, 54013, 52376, 60847, 50968, 73470, 50918, 52376, 67755, 50818, 51088, 50818, 51357, 50818, 55528, 50918, 52371, 50918, 51181, 56027, 52376, 51798, 51301, 50818, 51088, 50818, 51357, 53545, 50968, 57924, 51652, 54896, 50951, 57459, 52376, 57814, 61097, 57289, 50800, 58276, 51085, 50795, 51667, 50807, 51301, 50818, 51088, 50818, 51357, 50818, 55244, 51036, 52143, 51036, 51338, 64163, 50861, 51835, 56143, 51026, 53471, 50968, 51620, 50900, 55648, 79564, 52376, 50807, 51301, 50818, 51088, 50818, 51357, 52565, 51085, 67755, 50818, 51088, 50818, 51093, 52210, 50900, 51798, 61097, 51085, 67755, 50818, 51088, 50818, 51093, 53545, 57031, 52376, 51754, 56143, 51652, 52567, 61097, 60003, 52376, 50800, 60497, 50800, 58276, 51120, 50795, 51667, 50807, 51491, 50818, 51113, 50818, 51107, 50818, 55528, 51036, 52371, 51036, 51181, 51036, 72285, 50918, 50767, 50287, 63229, 50877, 51835, 57213, 51027, 53471, 50951, 51620, 50899, 61907, 50807, 52457, 50807, 51491, 50818, 51113, 50818, 51107, 52209, 51027, 51646, 50989, 64953, 51491, 50818, 51113, 50818, 51107, 52396, 51799, 50807, 51491, 50818, 51113, 50818, 51107, 52349, 51667, 50795, 54955, 55673, 79564, 51667, 67583, 50818, 51357, 50818, 51107, 50818, 52776, 50918, 51699, 50918, 51137, 50918, 54569, 56190, 50795, 52135, 52296, 52135, 51631, 50861, 55673, 67583, 50818, 51357, 50818, 51107, 54013, 51667, 51628, 51026, 79564, 51667, 52262, 51652, 51724, 51378, 55673, 61907, 50795, 51652, 50807, 51491, 50818, 51113, 50818, 51107, 50818, 55472, 50918, 53148, 50918, 51640, 50918, 55989, 56036, 51798, 50989, 55673, 50795, 68831, 51600, 53312, 50899, 61907 ]
[ 0, 713, 20425, 8, 15352, 30054, 3495, 3152, 2214, 6, 278, 11, 163, 3694, 6, 1575, 10, 20902, 11739, 9, 38668, 3038, 6, 32909, 6, 3152, 6757, 6, 1076, 560, 31365, 25999, 6, 8, 31391, 1672, 9590, 4, 590, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 20, 33215, 16739, 9, 1918, 1176, 406, 6, 163, 119, 406, 6, 230, 10431, 119, 406, 6, 8, 211, 119, 1176, 406, 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 ]	[ 58402, 76501, 69142, 50971, 57523, 72584, 56452, 50857, 58598, 76690, 56170, 59012, 55017, 62603, 55209, 50836, 54609, 62267, 53455, 53173, 52949, 59567, 53503, 50884, 52301, 60427, 51914, 56046, 51953, 50949, 51859, 65493, 51676, 50949, 51617, 59363, 51982, 50921, 53426, 51021, 53329, 52024, 52328, 53501, 54488, 50855, 56682, 51460, 52055, 50875, 53045, 56075, 52093, 53321, 54303, 62534, 67335, 52165, 50809, 51323, 50828, 52400, 50887, 52232, 53229, 54069, 71786, 52165, 62194, 51693, 51323, 51306, 52232, 50840, 52400, 56428, 51539, 52523, 52639, 52287, 51642, 51818, 76998, 54497, 52539, 55569, 54883, 51023, 51178, 71167, 52165, 50808, 51323, 50870, 52400, 50904, 52232, 50907, 52232, 50808, 52400, 50800, 51323, 51110, 57718, 50431, 51844, 54342, 71167, 52165, 67135, 51693, 52232, 50941, 52400, 50904, 52232, 50808, 52400, 59661, 51005, 53836, 54986, 71167, 52165, 50855, 52400, 50836, 52232, 55027, 51987, 54114, 75109, 51208, 50937, 51403, 50865, 51844, 51255, 52232, 50912, 52400, 50912, 51746, 50917, 51770, 50924, 51245, 50849, 51323, 52482, 66752, 53045, 52748, 56432, 52232, 50912, 52400, 56205, 53384, 51023, 72855, 50840, 52165, 50928, 51323, 50835, 52400, 50908, 52232, 50809, 52400, 51000, 52232, 50912, 58081, 55354, 51746, 51376, 51770, 51006, 51245, 51074, 50913, 52499, 53003, 75109, 51208, 50805, 51403, 50805, 51818, 51481, 52287, 51079, 51245, 50849, 68663, 51770, 51370, 54617, 53301, 51987, 58207, 51323, 51129, 52400, 51693, 52232, 57258, 65496, 71223, 51023, 50959, 51385, 54618, 52165, 50912, 52400, 50851, 51323, 50955, 52232, 54146, 50852, 52823, 54943, 51245, 51074, 51746, 51079, 51770, 50972, 50913, 52523, 51004, 56682, 51388, 52723, 50875, 51987, 52465, 56933, 52400, 52101, 51323, 52167, 52232, 54618, 50920, 54213, 69963, 52165, 50828, 52400, 50846, 52232, 55718, 54579, 51023, 50851, 71167, 52165, 50808, 51323, 50827, 52232, 50808, 52400, 52085, 52523, 75730, 58139, 79107, 52165, 50829, 52232, 50839, 52400, 54617, 53301, 52499, 59741, 50852, 54956, 51023, 50845, 71167, 52165, 50808, 52400, 50863, 52232, 51123, 52232, 50808, 52400, 50800, 51323, 73558, 53670, 71167, 52165, 50886, 51844, 51100, 52400, 50867, 51323, 52101, 52232, 50912, 52232, 50808, 52400, 54784, 53067, 58406, 68329, 62744, 51385, 50840, 52165, 50886, 52232, 50928, 52400, 51004, 51323, 50836, 52232, 50809, 52400, 54738, 51987, 52958, 51020, 51376, 51208, 50917, 51403, 50865, 51957, 51354, 52287, 50972, 51818, 51172, 52232, 50912, 52400, 50912, 51245, 51254, 51746, 50938, 51770, 50924, 51323, 51387, 52055, 50875, 51987, 52748, 54905, 52400, 51319, 52232, 54419, 53384, 66945, 51385, 50840, 52165, 50840, 51323, 51000, 51323, 50867, 52232, 50941, 52232, 50809, 52400, 51319, 52400, 51421, 53045, 55354, 52165, 50837, 52400, 50825, 51245, 57070, 51746, 51254, 51770, 51174, 50913, 52499, 61340, 51020, 51376, 51208, 50830, 51403, 50952, 51374, 51048, 51746, 50952, 51770, 50940, 51245, 62316, 53479, 54497, 52823, 69232, 51457, 51172, 51981, 51423, 50453, 51323, 51851, 52232, 50941, 52400, 50941, 64695, 53555, 52400, 79348, 52539, 54943, 51746, 51051, 51770, 51008, 51245, 57070, 50913, 52291, 50863, 56682, 50980, 52055, 50875, 52786, 64565, 50791, 50883, 75062, 62534, 51385, 50839, 52165, 50846, 51323, 50828, 52232, 50841, 52400, 52079, 54579, 60943, 71786, 52165, 50836, 51323, 50862, 52232, 50840, 52400, 51582, 52535, 52291, 52966, 52287, 51006, 53212, 50875, 53045, 56502, 59741, 51818, 56552, 72314, 67335, 52165, 50808, 51323, 50891, 52232, 50891, 52400, 50837, 52232, 50812, 52400, 50800, 51323, 60684, 53196, 51385, 50844, 52165, 50855, 51844, 50795, 51323, 51126, 52232, 50941, 52400, 50836, 52232, 50810, 52400, 56104, 51041, 52823, 54986, 51023, 50857, 71786, 52165, 50886, 64895, 52232, 50840, 52400, 54738, 53107, 53115, 51020, 50805, 51208, 50865, 51403, 50917, 51844, 50967, 52232, 50984, 52400, 50912, 51746, 50924, 51770, 50938, 57285, 51323, 51074, 52723, 50875, 53045, 53796, 54704, 52400, 50971, 52232, 63130, 53384, 66945, 71786, 52165, 50829, 52400, 50834, 51323, 51128, 51323, 50867, 52232, 50941, 52232, 50840, 52400, 51851, 56526, 55354, 51746, 51174, 51770, 51254, 51245, 51079, 50913, 52291, 53003, 75109, 51208, 50917, 51403, 50865, 51818, 50972, 52287, 51079, 51746, 50938, 51770, 50924, 51245, 53888, 51392, 52755, 52539, 55423, 52400, 51004, 51323, 51851, 52232, 50941, 62023, 53556, 51023, 51123, 52165, 50837, 71166, 52400, 50825, 51323, 50984, 52232, 52227, 52793, 54943, 51746, 51376, 51770, 51174, 51245, 51074, 50913, 52523, 51004, 56682, 50923, 52723, 50875, 52539, 52348, 54639, 52400, 51306, 51323, 52462, 52232, 57831, 67945, 52067, 53299, 51385, 50846, 52165, 50818, 56281, 50880, 52232, 50818, 52400, 50884, 51898, 50880, 52148, 53914, 50846, 51667, 76255, 52067, 50857, 52148, 56076, 51023, 50862, 66748, 52165, 50812, 56281, 50809, 51323, 50855, 52232, 50836, 52400, 50808, 51898, 54766, 52223, 53045, 50928, 51667, 63750, 52067, 54156, 56281, 50890, 51898, 50811, 52148, 54332, 54497, 52539, 55623, 50837, 51667, 59974, 52165, 66271, 50873, 67335, 56281, 50809, 52232, 50837, 52400, 50825, 52232, 50812, 52400, 50808, 66710, 52067, 50809, 51898, 50812, 52148, 56691, 50891, 51667, 60426, 51844, 50917, 56281, 54334, 71166, 52165, 50854, 51323, 51000, 52232, 50971, 52232, 50800, 52400, 50907, 52400, 50833, 52067, 51010, 51898, 50811, 52148, 52259, 51041, 52539, 50846, 51667, 57535, 52148, 54496, 52165, 50813, 51385, 59869, 50941, 56281, 50895, 51323, 50904, 52232, 50840, 52400, 50862, 52067, 50962, 51898, 54853, 52523, 50908, 51667, 65582, 58437, 55622, 51020, 50805, 51208, 76674, 50795, 51957, 51354, 51818, 51753, 52287, 51079, 52232, 50907, 52400, 50907, 57285, 51323, 51074, 51746, 50879, 51770, 50879, 53147, 50811, 53084, 51052, 54534, 54016, 52786, 50891, 52135, 59071, 52298, 55092, 52232, 50912, 52400, 66048, 53594, 60943, 69473, 52165, 50862, 56281, 50962, 51323, 52514, 51323, 50862, 52232, 50971, 52400, 51128, 52400, 50855, 52232, 50833, 78287, 51898, 50811, 52148, 51156, 51987, 50846, 51667, 65866, 51245, 50972, 51746, 50972, 51770, 50972, 50913, 52499, 54044, 67140, 51208, 50865, 51403, 50830, 51374, 51290, 57745, 51460, 51245, 50977, 51746, 50924, 51770, 50924, 51866, 51812, 51392, 52373, 52793, 69232, 51617, 51933, 53329, 52570, 51981, 51309, 51457, 51642, 51579, 51066, 52039, 50823, 51652, 58615, 51323, 51126, 52400, 51000, 52232, 51123, 64272, 61021, 52334, 50886, 51702, 50818, 51831, 54583, 51403, 50825, 51770, 50835, 52384, 56691, 53934, 57430, 53808, 50841, 52058, 50841, 52376, 61996, 53689, 50834, 54595, 50828, 51947, 50839, 52457, 54991, 51245, 52192, 51746, 51174, 51770, 51174, 58313, 50841, 52339, 50834, 53093, 52543, 52499, 50928, 52832, 59652, 57350, 50839, 54641, 56834, 60671, 50839, 53266, 50835, 55066, 50837, 56724, 50863, 56682, 51460, 61715, 50820, 79811, 50834, 53456, 54880, 53301, 53045, 62249, 50961, 58982, 57392, 52949, 50937, 65015, 51464, 50828, 65700, 78666, 70824, 50829, 65576, 61252, 51770, 55756, 54303, 62534, 67335, 52165, 50833, 51323, 50828, 52232, 50812, 52400, 53229, 54069, 73071, 71167, 52165, 50812, 51323, 50810, 52232, 50808, 52400, 55027, 51539, 52523, 52639, 52165, 50825, 52400, 54518, 54497, 52539, 55569, 57334 ]
[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 34879, 6, 4246, 10, 11739, 9, 13305, 6, 2382, 8, 81, 9756, 3459, 29589, 6, 3152, 6757, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 6, 19, 5, 33215, 13931, 9, 230, 8, 163, 428, 73, 347, 16331, 5705, 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 ]	[ 58402, 55239, 57974, 55723, 51468, 52354, 51364, 54609, 51010, 52949, 50880, 52301, 50882, 51061, 50901, 51092, 51134, 51616, 51518, 50920, 54274, 53829, 51118, 51576, 50920, 53419, 52639, 54609, 51407, 52949, 52311, 52301, 52369, 51061, 51645, 50920, 54274, 53230, 64628, 51118, 51884, 51023, 51351, 51092, 51115, 50920, 53419, 52600, 50945, 51336, 50920, 54274, 53806, 51061, 67290, 52909, 53083, 51118, 51642, 51023, 51043, 50920, 54274, 53685, 51092, 51008, 51616, 70581, 52909, 50841, 54516, 51274, 53503, 52311, 51193, 50849, 51557, 51115, 51185, 51218, 50920, 54274, 53829, 54609, 51362, 51061, 50905, 51092, 50981, 50920, 53419, 52639, 50920, 54274, 56710, 51061, 55003, 50432, 51325, 50983, 55977, 51551, 51341, 51203, 51118, 51330, 51193, 51241, 50920, 53419, 52600, 50920, 54274, 53806, 53455, 51178, 51341, 50995, 51092, 67290, 52909, 53083, 60908, 53503, 51116, 51185, 51337, 51118, 51852, 50920, 54274, 53685, 51105, 50938, 53455, 50917, 51193, 77937, 52909, 50841, 52354, 51364, 54609, 51010, 52949, 50880, 52301, 50882, 51061, 50901, 51092, 51134, 51616, 51518, 50920, 54274, 53829, 51118, 51576, 50920, 53419, 52639, 54609, 51407, 52949, 52311, 52301, 52369, 51061, 51645, 50920, 54274, 53230, 64628, 51118, 51884, 51023, 51351, 51092, 51115, 50920, 53419, 52600, 50945, 51336, 50920, 54274, 53806, 51061, 67290, 52909, 53083, 51118, 51642, 51023, 51043, 50920, 54274, 53685, 51092, 51008, 51616, 70581, 52909, 50841, 54516, 51274, 53503, 52311, 51193, 50849, 51557, 51115, 51185, 51218, 50920, 54274, 53829, 54609, 51362, 51061, 50905, 51092, 50981, 50920, 53419, 52639, 50920, 54274, 56710, 51061, 55003, 50432, 51325, 50983, 55977, 51551, 51341, 51203, 51118, 51330, 51193, 51241, 50920, 53419, 52600, 50920, 54274, 53806, 53455, 51178, 51341, 50995, 51092, 67290, 52909, 60372, 50816, 52568, 60908, 53503, 51116, 51185, 51337, 51118, 51852, 50816, 52637, 54274, 53685, 51105, 50938, 53455, 50917, 51193, 50978, 73032, 52637, 52909, 50841, 52354, 51364, 54609, 51010, 52949, 50880, 52301, 50882, 51061, 50901, 51092, 51134, 51616, 51518, 53804, 57829, 50900, 64587, 50800, 51247, 51073, 51050, 55385, 51118, 51576, 56457, 54609, 51407, 52949, 52311, 52301, 52369, 51061, 51645, 53316, 50884, 50900, 51112, 73343, 51661, 50432, 64628, 51118, 51884, 51023, 51351, 51092, 51115, 53804, 56748, 51247, 51112, 53357, 51336, 53804, 56484, 51050, 55480, 51061, 50915, 52105, 50445, 50900, 65295, 51118, 51642, 51023, 51043, 53316, 57150, 51247, 57743, 67773, 51092, 51008, 51616, 50905, 53804, 66174, 64801, 72753, 54516, 51274, 53503, 52311, 51193, 50849, 51557, 51115, 51185, 51218, 53804, 74494, 51173, 50906, 51091, 50415, 50997, 50807, 51234, 57519, 54609, 51362, 51061, 50905, 51092, 50981, 51762, 50421, 50899, 51043, 59158, 57982, 50871, 55863, 51061, 55003, 50432, 51325, 50983, 55977, 51551, 51341, 51203, 51118, 51330, 51193, 51241, 53804, 58685, 50956, 51362, 50965, 51294, 51503, 51362, 51450, 51187, 50818, 51176, 67367, 53455, 51178, 51341, 50995, 51092, 50915, 51762, 50445, 50900, 58038, 60908, 53503, 51116, 51185, 51337, 51118, 51852, 53316, 50884, 51026, 51100, 50451, 50956, 51215, 50861, 55069, 51105, 50938, 53455, 50917, 52301, 50887, 52949, 50887, 51859, 50961, 54609, 50880, 51193, 50978, 53804, 59169, 51214, 50833, 66481, 50459, 52949, 50890, 51859, 50930, 52301, 63958, 54609, 50880, 62114, 51496, 52949, 52369, 51859, 53174, 52301, 52266, 54609, 51352, 51061, 51095, 51118, 51191, 51092, 51591, 51616, 51486, 53804, 50884, 51247, 51091, 51050, 66128, 51023, 51330, 51471, 59158, 50884, 50900, 64587, 51628, 51720, 51977, 51118, 65988, 51061, 53769, 51187, 56748, 51247, 51091, 51450, 51187, 50818, 51050, 55700, 51023, 51043, 51118, 51172, 52105, 50900, 60657, 64712, 51061, 51233, 51092, 51043, 53316, 50846, 51050, 57431, 52949, 50887, 52301, 50818, 54609, 50930, 51859, 50895, 51118, 51297, 51023, 50905, 53804, 50834, 51085, 63327, 62533, 52949, 50880, 51859, 50890, 52301, 50887, 54609, 50962, 62114, 51496, 54609, 52369, 52949, 51161, 52301, 51161, 51859, 51585, 51061, 50917, 51118, 51003, 51092, 51452, 51616, 51692, 53804, 50818, 51247, 51091, 51050, 66128, 51023, 51025, 51762, 59158, 50884, 50900, 64587, 51628, 51720, 51977, 51118, 50851, 51023, 50827, 51061, 51204, 53804, 58685, 51247, 64740, 51118, 54071, 53804, 50818, 51050, 55700, 51118, 52034, 51023, 51203, 53316, 68095, 60657, 64712, 51061, 50907, 51092, 51212, 53316, 50884, 51050, 57431, 52949, 50828, 52301, 50841, 54609, 50818, 51859, 50846, 51616, 50904, 51061, 52134, 51023, 50959, 53804, 50846, 51085, 63327, 62533, 51859, 50818, 52949, 50828, 54609, 50818, 52301, 50841, 62114, 51496, 54609, 52017, 52949, 51655, 52301, 51655, 51859, 51696, 51616, 51178, 51061, 51221, 51118, 51134, 51092, 51422, 53804, 50884, 51247, 51091, 51050, 66128, 51023, 50981, 56457, 51616, 52015, 53316, 50884, 50900, 64587, 51628, 51720, 51977, 51118, 51412, 51061, 51241, 53804, 56748, 51247, 51091, 51450, 51187, 50818, 51050, 55700, 51023, 51233, 51118, 50932, 53316, 73619, 60657, 64712, 51061, 51121, 51092, 51101, 53316, 50846, 51050, 57431, 51023, 50878, 53804, 50834, 51085, 63327, 50901, 52354, 51175, 54609, 50800, 52949, 50887, 52301, 50887, 51859, 50858, 51498, 50911, 51118, 77553, 50880, 51616, 69639, 53393, 51187, 74359, 62060, 50809, 57579, 51247, 51158, 51050, 50967, 51039, 52639, 50945, 51566, 54609, 51336, 52949, 50918, 52301, 51013, 51859, 51661, 51498, 52195, 51118, 51290, 51023, 51343, 51061, 51285, 51616, 51896, 53316, 50884, 50900, 68669, 70002, 50918, 51974, 51187, 80028, 51189, 53357, 53238, 51187, 50818, 51050, 55322, 50945, 51167, 53503, 51095, 52551, 50893, 51557, 51110, 51762, 50900, 67426, 52301, 50897, 51767, 51060, 51118, 50925, 53316, 71255, 51537, 50297, 59960, 66308, 55977, 51472, 53455, 51364, 53503, 51173, 53088, 51362, 52160, 51552, 51557, 50952, 51341, 51362, 51020, 50983, 52947, 51472, 53804, 50846, 50956, 51294, 51247, 51189, 50861, 51446, 50906, 51472, 52354, 51175, 53804, 50884, 51050, 55126, 53503, 51111, 52551, 50924, 51557, 51221, 56457, 50945, 51566, 52301, 50833, 51767, 51158, 51118, 50937, 53316, 50884, 71430, 51050, 54777, 55977, 51661, 53455, 51291, 53503, 51158, 53088, 51294, 52160, 51573, 51341, 51294, 51020, 51204, 52947, 51977, 53804, 72792, 51294, 51247, 51446, 50861, 51291, 50906, 51336, 53357, 53238, 51187, 50818, 51050, 63959, 50945, 51167, 53503, 51124, 52551, 50924, 51557, 51095, 52105, 50997, 78271, 52301, 51194, 51767, 50991, 51118, 51178, 53316, 50846, 51050, 50942, 50956, 62034, 66308, 55977, 50849, 53455, 50812, 53503, 50938, 53088, 50795, 52160, 50882, 51341, 50833, 51020, 53197, 51187, 50834, 56437, 51085, 50892, 52354, 51175, 54609, 50859, 52949, 50809, 52301, 50800, 51859, 50859, 51498, 50911, 51118, 50887, 51616, 50859, 61012, 51023, 53238, 51187, 74359, 63307, 60611, 50812, 51247, 71570, 50889, 51039, 52639, 50945, 51566, 54609, 51364, 52949, 51472, 52301, 51016, 51859, 51285, 51498, 52195, 51118, 51016, 51023, 51362, 51061, 51496, 51616, 51685, 53316, 50884, 50900, 74340, 51364, 50877, 50918, 51974, 51187, 80028, 51291, 53357, 53238, 51187, 50818, 51050, 76623, 50945, 51167, 53503, 51095, 52551, 50893, 51557, 50967, 51762, 50900, 77393, 52301, 50897, 51767 ]
[ 0, 250, 20902, 3495, 8, 5175, 2365, 1349, 4246, 10, 20535, 2810, 6, 6755, 12547, 6, 1076, 560, 31365, 25999, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 13950, 163, 5683, 11, 204, 73, 306, 86, 6, 42, 15352, 30054, 8, 33558, 2214, 11, 5, 762, 9, 230, 538, 16, 686, 7, 17627, 9417, 8, 9769, 4, 20, 1049, 33215, 16739, 10726, 9, 12608, 6, 163, 428, 6, 2060, 6, 12608, 6, 8, 163, 428, 6, 2351, 10, 1313, 8, 1372, 5466, 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 ]	[ 56236, 53206, 50834, 54468, 50924, 51113, 54923, 68673, 53045, 50863, 52537, 51400, 50417, 51357, 53364, 53405, 51349, 50884, 51093, 53657, 51987, 50863, 51280, 50810, 68140, 51119, 55797, 51349, 50884, 51107, 56169, 52917, 51374, 50924, 51266, 53590, 57875, 52539, 50863, 58001, 51124, 50429, 51201, 55718, 53196, 51349, 50884, 51182, 54748, 51987, 50863, 51280, 50810, 68140, 51119, 56529, 51349, 50884, 51284, 53229, 50863, 54585, 50924, 51558, 51747, 54545, 50863, 52537, 51377, 50441, 51304, 53229, 53325, 51349, 50884, 51384, 55352, 51987, 50863, 51280, 50854, 68140, 51119, 56888, 51349, 50884, 51733, 56169, 52805, 51374, 50924, 51690, 52972, 57875, 52539, 50863, 58001, 51124, 50453, 51926, 53229, 53555, 51349, 50884, 52487, 53187, 51987, 50863, 51280, 50810, 51232, 50942, 51119, 54678, 51349, 50884, 54294, 55718, 50863, 54468, 50924, 53506, 53632, 54192, 75383, 53127, 50863, 52537, 51377, 50417, 54294, 55579, 52291, 53405, 51349, 50884, 52487, 54384, 52275, 51987, 50863, 51280, 50810, 51232, 50897, 51119, 54347, 51349, 50884, 51926, 54384, 51987, 52917, 51374, 50924, 51733, 53632, 57875, 53889, 64184, 53127, 50863, 58001, 51221, 50429, 51384, 54384, 52539, 53196, 51349, 50884, 51304, 55182, 51877, 51987, 50863, 51280, 50810, 68140, 51119, 54112, 51349, 50884, 51558, 54384, 53045, 50863, 54585, 50924, 51284, 53197, 54192, 64184, 52079, 50863, 52537, 51221, 53525, 52786, 53325, 51349, 53683, 51909, 51987, 50863, 51280, 50810, 74456, 51119, 56888, 51349, 53683, 52539, 52805, 51374, 50924, 51667, 50882, 52792, 50844, 52487, 50833, 64010, 50859, 53152, 53590, 57875, 53889, 68442, 52079, 50863, 58001, 51178, 50999, 52722, 54706, 52823, 53555, 51349, 50884, 51667, 50859, 52792, 50810, 52487, 50862, 56636, 51173, 52489, 73135, 51872, 51987, 50863, 51280, 50854, 68140, 51119, 57651, 51349, 53683, 52793, 50863, 54468, 50924, 51667, 51500, 52792, 51400, 52487, 51124, 55912, 50924, 51913, 50977, 58664, 61731, 53045, 50863, 53321, 53405, 51349, 52240, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 53910, 51349, 53963, 52917, 51374, 50924, 52185, 50854, 53811, 50844, 52838, 50813, 64434, 50890, 52851, 53303, 57875, 52539, 50863, 51147, 52722, 53666, 53196, 51349, 50884, 52185, 50808, 53811, 50874, 52838, 53225, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54112, 51349, 53963, 50863, 54585, 50924, 52185, 51159, 53811, 51380, 52838, 51221, 52055, 50888, 50863, 54234, 53325, 51349, 52240, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54803, 51349, 53963, 57989, 52974, 53140, 51374, 50924, 52522, 50808, 52405, 50844, 64434, 50800, 52851, 53197, 57875, 52539, 50863, 51114, 52722, 54287, 60570, 52974, 53176, 51349, 50884, 52522, 50840, 52405, 56768, 51877, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54678, 51349, 53963, 50863, 54468, 50924, 52522, 50807, 52974, 51097, 52405, 51267, 58664, 52539, 50863, 53321, 53405, 51349, 52240, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54347, 51349, 53963, 60931, 52170, 52688, 51374, 50924, 51905, 50866, 64434, 50859, 52851, 53590, 57875, 52539, 50863, 51028, 51819, 50427, 54103, 50938, 53666, 53196, 51349, 50884, 52376, 51191, 52075, 51283, 51733, 51134, 78863, 50863, 51119, 50813, 51777, 50810, 63885, 50968, 54830, 50435, 51349, 53963, 50863, 54585, 50924, 52055, 50888, 50863, 54234, 53325, 51349, 50884, 64434, 50901, 52851, 55993, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54803, 51349, 53963, 52805, 51374, 50924, 51905, 50854, 64010, 50901, 53152, 50838, 77156, 52539, 70738, 51558, 50862, 54287, 60535, 51284, 60425, 51629, 53211, 51349, 50884, 56636, 50849, 52489, 60193, 51877, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 61242, 51600, 57185, 51266, 54655, 51349, 53963, 59789, 51107, 57867, 51488, 50834, 54468, 50924, 55912, 50910, 51913, 50955, 58664, 52539, 57392, 51357, 50834, 69651, 53321, 53405, 51349, 50884, 52376, 50808, 51584, 50810, 52075, 55352, 51987, 50863, 51119, 50810, 51777, 50810, 63885, 50877, 53265, 50968, 53265, 50423, 51349, 53963, 52917, 51374, 50924, 52376, 50859, 51584, 50955, 52075, 50833, 64434, 50859, 52851, 53590, 57875, 52539, 50863, 53666, 53196, 51349, 50884, 52376, 50938, 51584, 51058, 52075, 64834, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54112, 51349, 53963, 50863, 55511, 50924, 51722, 51534, 52974, 51312, 52055, 50888, 79929, 53490, 50322, 79980, 52522, 51048, 54234, 53325, 51526, 52240, 51987, 50863, 51777, 50810, 51308, 50810, 51489, 54803, 51526, 53963, 52805, 51640, 50924, 54103, 50897, 52089, 50838, 52170, 50987, 64010, 50808, 53152, 53948, 57875, 52539, 50863, 50989, 79454, 51819, 54287, 53555, 51526, 50884, 52075, 50915, 51902, 69048, 51877, 51987, 50863, 51308, 50810, 51777, 50810, 63885, 50973, 53490, 50320, 52254, 50457, 52376, 51073, 50459, 51526, 53963, 50863, 59373, 50924, 58664, 52539, 50863, 53321, 53405, 51910, 50884, 51612, 51419, 78863, 50863, 51429, 50813, 71499, 52070, 71414, 55044, 50902, 55044, 50421, 52457, 51056, 52089, 51381, 50423, 51910, 53963, 52917, 51640, 50924, 64010, 50809, 53152, 52784, 57875, 52539, 50863, 53666, 53196, 51910, 50884, 51600, 73705, 51987, 50863, 51429, 50813, 71499, 52070, 54350, 51910, 53963, 50863, 58711, 50924, 51558, 50978, 56844, 50879, 52310, 50901, 52055, 50888, 50863, 54234, 53325, 51910, 50884, 51357, 51051, 55912, 50849, 51913, 64602, 51987, 50863, 51429, 50813, 51275, 50813, 52070, 54417, 51910, 53963, 52805, 51640, 50924, 51667, 50808, 52792, 50925, 52487, 50833, 56636, 50873, 52489, 50974, 77156, 52539, 50863, 50999, 52722, 54287, 60570, 51667, 54418, 51910, 50884, 52792, 50925, 52487, 50862, 64010, 50892, 53152, 66671, 51877, 51987, 50863, 51429, 50813, 51275, 50813, 52070, 54655, 51910, 53963, 50863, 54281, 50924, 51667, 51290, 52792, 51267, 52487, 51124, 64434, 51177, 52851, 51277, 58664, 52539, 50863, 53321, 53405, 51374, 52240, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 53910, 51374, 53963, 60931, 52185, 50854, 53811, 58382, 51857, 50924, 52838, 50813, 50712, 50291, 50897, 56844, 50959, 77156, 52539, 50863, 51147, 52722, 53666, 61193, 52185, 50854, 53811, 59780, 51374, 50884, 52838, 53225, 51987, 50863, 51512, 50813, 51429, 50810, 51489, 54350, 51374, 53963, 50863, 54360, 50924, 52185, 50943, 53811, 51267, 52838, 51255, 52055, 50888, 50863, 54234, 53325, 51374, 52240, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 54417, 51374, 53963, 57989, 52974, 53140, 51857, 50924, 52522, 50808, 52405, 50844, 50712, 50291, 50910, 56844, 50955, 77156, 52539, 50863, 51114, 52722, 54287, 60570, 52974, 54900, 51374, 50884, 52522, 50808, 52405, 56768, 51877, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 54655, 51374, 53963, 50863, 54281, 50924, 52522, 51073, 52974, 51253, 52405, 51109, 58664, 52539, 50863, 53321, 53405, 51374, 52240, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 53910, 51374, 53963, 60931, 51986, 54325, 51857, 50924, 51902, 50892, 51558, 50866, 50712, 50291, 50812, 56844, 53835, 57875, 52539, 50863, 50965, 69973, 51819, 50427, 55822, 50938, 53666, 61193, 51986, 52519, 50432, 51374, 50884, 52457, 51294, 51612, 51295, 51384, 51134, 78863, 50863, 51512, 50820, 51429, 50813, 51489, 68340, 54830, 50902, 54830, 50435, 51374, 53963, 50863, 54360, 50924, 52055, 50888 ]
[ 0, 250, 2635, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 816, 5, 483, 33301, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 38668, 11212, 6, 8, 21979, 8669, 4, 20, 2125, 7630, 6568, 10, 5679, 26709, 8, 8728, 5466, 6, 10686, 13, 304, 11, 3541, 4, 85, 18, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 1171, 10, 33215, 16739, 9, 272, 6, 230, 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 ]	[ 57128, 50799, 56336, 60130, 66789, 60130, 50740, 50335, 60130, 50438, 50740, 50332, 60130, 61627, 67931, 69103, 61627, 50700, 50280, 61489, 55793, 69103, 57211, 67375, 52503, 56643, 52503, 52566, 50974, 51711, 54270, 52137, 54270, 50420, 53647, 50974, 65387, 56307, 55554, 50974, 50743, 50328, 55544, 53647, 50974, 50743, 50327, 56298, 53260, 51477, 50743, 50328, 56391, 65387, 51477, 50799, 57697, 52503, 53460, 52503, 53000, 51244, 50700, 50280, 56599, 54720, 64880, 50420, 53647, 50974, 70925, 72599, 55554, 50974, 50743, 50328, 55544, 53647, 50974, 50743, 50327, 56298, 53000, 51477, 50743, 50328, 56391, 70925, 51477, 50799, 56643, 52147, 52583, 52147, 53039, 51477, 50700, 50280, 54270, 53817, 54373, 50420, 53647, 50974, 66652, 51477, 50426, 55554, 50974, 50743, 50328, 55544, 53647, 50974, 50743, 50327, 56298, 57697, 52147, 53460, 52147, 53039, 51477, 50743, 50328, 56391, 66652, 51477, 50799, 56643, 52503, 52583, 52503, 52697, 70997, 64220, 51058, 50422, 53039, 51097, 50428, 66652, 51097, 50431, 55554, 54143, 50437, 50743, 50327, 54143, 50440, 53039, 54143, 50446, 66652, 54143, 79296, 56643, 56308, 53460, 57912, 52507, 53678, 56336, 53700, 50740, 50332, 68334, 53647, 51939, 54720, 52263, 50420, 50743, 50328, 51939, 57528, 50438, 51615, 55856, 50804, 59875, 60789, 50612, 51824, 66164, 51000, 53721, 58271, 51070, 60004, 50913, 50368, 52752, 51126, 53341, 51000, 50799, 51925, 73680, 75070, 50933, 56063, 51126, 55618, 57203, 51070, 57959, 50913, 50908, 53198, 59656, 52133, 57771, 51925, 60705, 64274, 60466, 73896, 53721, 58271, 51070, 60004, 50913, 50369, 52752, 51126, 53341, 51000, 50799, 51925, 60705, 72184, 51123, 56063, 51126, 55618, 57203, 50832, 60387, 60838, 50913, 50908, 53198, 51000, 53550, 55095, 50612, 50368, 51342, 60466, 73896, 53721, 55634, 51070, 60004, 50913, 67091, 51123, 53341, 51000, 50799, 51070, 60705, 65275, 51123, 50415, 51881, 51490, 56063, 51000, 55618, 57203, 50832, 59031, 57959, 73896, 53198, 59656, 51743, 51671, 50804, 52984, 50612, 50368, 51342, 51123, 50439, 54720, 51748, 66164, 51126, 53721, 58271, 51070, 60004, 50913, 67091, 51123, 53341, 51126, 55669, 59031, 60789, 50612, 51524, 56063, 55375, 50913, 57203, 51070, 59469, 57748, 73896, 53198, 59656, 51070, 75070, 51142, 51925, 51432, 50439, 51881, 51445, 53817, 52988, 66164, 50908, 53721, 58271, 51070, 60004, 50913, 67091, 51524, 53341, 51126, 50799, 51070, 75070, 51051, 51925, 51524, 56063, 51126, 55618, 57203, 50832, 55578, 57959, 73896, 53198, 59656, 54720, 51922, 51656, 64880, 51711, 66898, 51070, 75070, 50933, 51925, 51824, 50439, 51743, 58306, 66164, 51126, 53721, 53166, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50799, 51925, 73680, 60705, 50933, 56063, 51126, 55618, 57203, 50832, 57503, 60838, 73896, 53198, 59656, 53817, 51314, 51615, 55856, 52033, 55490, 51070, 50368, 52752, 51524, 50804, 58867, 50913, 50908, 53721, 58271, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50799, 53389, 51080, 51925, 73680, 60705, 50959, 56063, 51126, 55618, 57203, 50832, 57503, 57959, 50913, 50908, 53198, 59656, 53817, 52826, 51881, 54532, 52187, 61124, 51070, 60789, 50612, 51524, 50804, 51277, 66164, 50908, 53721, 58271, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50799, 51711, 55275, 52033, 55275, 51070, 50368, 52752, 75070, 50933, 56063, 55375, 50913, 56323, 50832, 57462, 57959, 73896, 53198, 59656, 52225, 52147, 51070, 60789, 50612, 51524, 50804, 64208, 73896, 53721, 51126, 50449, 51136, 53057, 50998, 57812, 60325, 50970, 75820, 67091, 51123, 53341, 51126, 50799, 53460, 57771, 53278, 52503, 52507, 54270, 50970, 51013, 51711, 54270, 52137, 54270, 51925, 60705, 64274, 61530, 51309, 56063, 51126, 55618, 57203, 51070, 70206, 55544, 50913, 50369, 52752, 51126, 53198, 66861, 51207, 51422, 50986, 51538, 50438, 52583, 52503, 71927, 52225, 52147, 50804, 55095, 50612, 50368, 51342, 70206, 62977, 78369, 50970, 58831, 51126, 53721, 55634, 68583, 51070, 60004, 50960, 51391, 50913, 67091, 51123, 53341, 51000, 50799, 56470, 52147, 51838, 52147, 51070, 60705, 65275, 70206, 64788, 51961, 50420, 51068, 50364, 51102, 63521, 51068, 66832, 57203, 51068, 54620, 59031, 51123, 50427, 67911, 50929, 56632, 50986, 52282, 50970, 52392, 73896, 53198, 59656, 53460, 57771, 52693, 52503, 51656, 52503, 51711, 52503, 52036, 52503, 52137, 54270, 50804, 65232, 69250, 50368, 51342, 61530, 51797, 66164, 51126, 53721, 53529, 50313, 52800, 51070, 51123, 50876, 55726, 50931, 52863, 50913, 67091, 51123, 50999, 50855, 53341, 53529, 50323, 50855, 55669, 59031, 60789, 50612, 51524, 50798, 51645, 50951, 57368, 51062, 54878, 50913, 72236, 54191, 50316, 55081, 51068, 53461, 57203, 51068, 58869, 59469, 57748, 73896, 53198, 51126, 50436, 75174, 50960, 54181, 52583, 52503, 79750, 52187, 52503, 51838, 52503, 51068, 64274, 75070, 51142, 51925, 51432, 50798, 51484, 50444, 50947, 69046, 50908, 53721, 58271, 50929, 61119, 60004, 50913, 67091, 51524, 50457, 51076, 51189, 53341, 51126, 50799, 56470, 52147, 51070, 75070, 51051, 51925, 51524, 50798, 61784, 51068, 63463, 64367, 51068, 54695, 57203, 50947, 51121, 51068, 53742, 55578, 57959, 51076, 50933, 51068, 54695, 66129, 51032, 71542, 59656, 53460, 54270, 52693, 52503, 51711, 57771, 52036, 52503, 51070, 75070, 50933, 51068, 50959, 51925, 51824, 50444, 50970, 51742, 73896, 53721, 53166, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50460, 50998, 51318, 50461, 65738, 50799, 65429, 51925, 73680, 50368, 51822, 56444, 55759, 52025, 50420, 51076, 51337, 73896, 55618, 57203, 50947, 59145, 57503, 60838, 50998, 51003, 66976, 73896, 53198, 59656, 53278, 52147, 52225, 52147, 51070, 50368, 52752, 51524, 50798, 62314, 72927, 50968, 63397, 50951, 53524, 50960, 51241, 51078, 51391, 50913, 72236, 62574, 50328, 56325, 51068, 68703, 58271, 51068, 57694, 51123, 51220, 54583, 51068, 68918, 67091, 53529, 50328, 50846, 53341, 51126, 50460, 50986, 61145, 50929, 50813, 59755, 50799, 52693, 52147, 51032, 50880, 51838, 52147, 52036, 52147, 51068, 75614, 73680, 60705, 61174, 53131, 50323, 50854, 50876, 53728, 50913, 79986, 50854, 50931, 54080, 50913, 57203, 50832, 57503, 57959, 50913, 50908, 53198, 51126, 50436, 60917, 50437, 50929, 52444, 52583, 52147, 51076, 50941, 52187, 52147, 51838, 52147, 51070, 60789, 50612, 51524, 50804, 51277, 62198, 50876, 70455, 54811, 50913, 50908, 66557, 50876, 51328, 53721, 58271, 56470, 52025, 51068, 59317, 60004, 50913, 67091, 69510, 50986, 54702, 51126, 50460, 50929, 61145, 51032, 50813, 50799, 53460, 62321, 52693, 52147, 51615, 52503, 51711, 52503, 52036, 52147, 50852, 56289, 57694, 50368, 52752, 61530, 62788, 50933, 52360, 51210, 50861, 51212, 50415, 75023, 50420, 51068, 73803, 55375, 50913, 51000, 52118, 57252, 50832, 57462, 57959, 51068, 68918, 51126, 52360, 50933, 53198, 59656, 53278, 55586, 52225, 52147, 51068, 50363, 51053, 51376, 50441, 52118, 53086, 51335, 68466, 51335, 71841, 51335, 50908, 52360, 51058, 50453, 51335, 50368, 51865, 54038, 51335, 66816, 50835, 52118, 58247, 51335, 50829, 50799, 53460, 54270, 53278, 52503, 52507, 54270, 50929, 51101, 53817, 52503, 52133, 54270, 52033, 52503, 51615, 54270, 54307, 52829, 51338, 51692, 51335, 60455, 57693, 53597, 50588, 54023, 50612, 63922, 51032, 54766, 53991, 51032, 51124, 50913, 50904, 51768 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 10, 33215, 16739, 9, 272, 6, 163, 119, 6, 8, 3676, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 42, 765, 2125, 7630, 6568, 10, 1472, 9, 5823, 8, 10563, 6, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 51085, 51285, 50900, 68542, 50968, 74513, 50980, 51062, 50980, 51430, 56158, 51324, 51285, 51086, 68660, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 55547, 51285, 51027, 68542, 50968, 74513, 50980, 51062, 50980, 51430, 56158, 51214, 51285, 51026, 68660, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 54734, 51285, 51050, 51285, 51713, 50821, 52306, 56191, 51713, 50821, 52306, 52422, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 56158, 51841, 51285, 51315, 68660, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51776, 50821, 52306, 55982, 51776, 50821, 52306, 50821, 54868, 51285, 50899, 51285, 51713, 51285, 52306, 51285, 50927, 51226, 56207, 68422, 72694, 50980, 50999, 56925, 51011, 52322, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51776, 50821, 52306, 50821, 50953, 53662, 59575, 50816, 59779, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51776, 50821, 52306, 50821, 50953, 52090, 55967, 50951, 51160, 51220, 51160, 51146, 51160, 51487, 51160, 51214, 51958, 50299, 50896, 51224, 52610, 78251, 51304, 50806, 58918, 51335, 59908, 51326, 52935, 50951, 50806, 51107, 50806, 51384, 50806, 51443, 52090, 61200, 53997, 51285, 50900, 51285, 51266, 53898, 51733, 53898, 50964, 65086, 52090, 51226, 51335, 51469, 51039, 52247, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 52309, 50964, 58716, 52322, 51324, 51285, 51086, 51285, 51205, 65086, 52090, 50980, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 53757, 57175, 51205, 61200, 55547, 51285, 51027, 51285, 51011, 65086, 52090, 51226, 51039, 54901, 76614, 51384, 52422, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51266, 50806, 51733, 66592, 51201, 50806, 51690, 59832, 76112, 56158, 51214, 51285, 51026, 51285, 51182, 50896, 51926, 50896, 50953, 64418, 50980, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 53374, 50816, 57175, 51266, 50806, 51733, 70129, 61200, 54734, 51285, 51050, 51285, 51093, 51685, 51304, 51685, 51713, 50821, 52306, 50821, 50945, 65086, 52090, 51226, 50417, 51713, 51685, 52306, 51685, 51039, 52247, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 57819, 52309, 50945, 76112, 52322, 51841, 51285, 51315, 51285, 51019, 65086, 52090, 58648, 68027, 51284, 73386, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 50806, 51776, 50821, 52306, 54250, 53757, 50980, 50453, 51776, 51160, 52306, 66911, 51266, 50806, 51733, 50806, 51019, 53374, 54868, 51285, 50899, 51285, 51266, 51196, 51733, 51196, 51713, 51285, 52306, 51285, 50927, 65086, 52090, 51226, 51039, 52247, 50877, 68422, 72694, 50980, 50999, 57819, 52309, 71654, 53072, 56158, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51201, 50896, 51690, 50896, 51776, 50821, 52306, 50821, 50953, 53662, 56050, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51776, 50821, 52306, 50821, 50953, 72880, 50806, 51180, 55967, 50951, 51160, 51220, 51160, 51146, 51160, 51487, 51160, 51214, 51958, 50299, 54214, 53153, 78251, 51304, 50806, 51648, 50980, 52306, 50806, 58918, 51224, 51508, 59908, 51326, 52935, 50951, 50806, 51107, 50806, 51384, 50806, 51776, 50806, 51443, 52090, 61200, 53997, 51285, 50900, 51285, 51266, 53898, 51733, 53898, 51888, 50821, 52306, 50821, 50964, 65086, 52090, 51226, 51335, 51469, 50417, 51888, 50821, 52306, 50821, 51039, 52247, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 52309, 50964, 76112, 52322, 51324, 51285, 51086, 51285, 51776, 50821, 52306, 50821, 51205, 65086, 52090, 77756, 51776, 50821, 52306, 67799, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 62769, 53072, 52931, 51205, 66754, 55547, 51285, 51027, 51285, 51888, 50821, 52306, 50821, 51011, 65086, 52090, 51226, 50417, 51888, 50821, 52306, 50821, 51039, 54901, 76614, 51384, 52422, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51266, 50806, 51733, 66592, 51201, 50806, 51690, 59832, 76112, 56158, 51214, 51285, 51026, 51285, 51182, 50896, 51926, 50896, 51776, 50821, 52306, 50821, 50953, 64418, 77756, 51776, 50821, 52306, 67799, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 53374, 50816, 57175, 51182, 50806, 51926, 50806, 51776, 70129, 61200, 54734, 51285, 51050, 51285, 51284, 51685, 52487, 51685, 50945, 65086, 52090, 51226, 51039, 54901, 51888, 62588, 51713, 57327, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 57819, 57200, 52002, 52686, 53170, 50880, 50945, 76112, 55246, 52306, 74532, 51841, 51285, 51315, 51285, 51019, 65086, 52090, 58648, 68027, 51284, 73386, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 53757, 53072, 52931, 51266, 50806, 51733, 50806, 51019, 66754, 54868, 51285, 50899, 51285, 51266, 51274, 51733, 51274, 50927, 65086, 52090, 51226, 51039, 52247, 50877, 68422, 72694, 50980, 50999, 50980, 51713, 50980, 52306, 57819, 52309, 51201, 51685, 51690, 51685, 71654, 53072, 56158, 51214, 51285, 51026, 51285, 51776, 50821, 52306, 50821, 50953, 53662, 77756, 51776, 50821, 52306, 50821, 50953, 51160, 51180, 52610, 50951, 50980, 51220, 50980, 51146, 50980, 51487, 50980, 51776, 50806, 52306, 70129, 53374, 50816, 57175, 51443, 61200, 57211, 50876, 72676, 52500, 50900, 52500, 50964, 52500, 51335, 51469, 58060, 52236, 50328, 53939, 65585, 51062, 55104, 50973, 50821, 51220, 52686, 50861, 62656, 52322, 50871, 50821, 50931, 56050, 50916, 50821, 50968, 53247, 50900, 66894, 56312, 50861, 71560, 58215, 50871, 63037, 52931, 51026, 50821, 68928, 50953, 54863, 51027, 50821, 74231, 73252, 55524, 50821, 70433, 51133, 56191, 50900, 50821, 50876, 53113, 51026, 50821, 50861, 54007, 51027, 50821, 74231, 50953, 52422, 50900, 50821, 50876, 55104, 50871, 50821, 50931, 52686, 50916, 50821, 70433, 50964, 51285, 50435, 50900, 56501, 57419, 50871, 50821, 50931, 53247, 50916, 50821, 50968, 54787, 50900, 56501, 52610, 51224, 59908, 51027, 50821, 50877, 52935, 51026, 50821, 68928, 50953, 68398, 56277, 51086, 50821, 50973, 50821, 73252, 57211, 65585, 51085, 51285, 50900, 51285, 51266, 51469, 51733, 51469, 50964, 65086, 52090, 51226, 51335, 51469, 72434, 52200, 59013, 52113, 57327, 50968, 74513, 50980, 51062, 50980, 51430, 77892, 52113, 52309, 50964, 66754, 52113, 52322, 51324, 51285, 51086, 51285, 51205, 65086, 52090, 50980, 52113, 50806, 51180, 50806, 52113, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 53757, 50980, 52113, 52931, 51205, 61200, 52113, 50806, 55547, 51285, 51027, 51285, 51266, 51585, 51733, 51585, 51011, 65086, 52090, 51226, 52113, 50896, 51039, 52247, 50968, 74513, 50980, 51062, 50980, 51430, 77892, 52113, 52309, 51011, 76112, 50980, 52113, 52322, 51214, 51285, 51026, 51285, 50953, 64418, 50980, 52113, 50896, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51107, 50806, 51384, 53374, 50816, 50980, 51633, 52931, 51266, 50806, 51733, 70129, 61200, 52113, 50806, 54734, 51285, 51050, 51285, 51093, 51469, 51304, 51469, 50945, 65086, 52090, 51226, 51643, 51285, 51039, 52247, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 57819, 52309, 50945, 76112, 52322, 51841, 51285, 51315, 51285, 51019, 65086, 52090, 50980, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 56589, 53757, 57175, 51019, 53374, 52135, 61765 ]
[ 0, 250, 765, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 11739, 9, 12280, 3275, 1725, 3109, 6, 3459, 13305, 6, 13305, 6, 8, 11006, 4122, 12, 1054, 330, 13305, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 1472, 9, 11098, 8, 26545, 149, 63, 15352, 30054, 15229, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 12608, 119, 401, 6, 8, 3676, 17992, 7, 63, 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 ]	[ 54458, 50450, 51153, 50889, 52126, 50889, 52769, 50889, 55411, 50889, 69296, 51077, 52126, 51077, 52769, 51077, 55411, 61086, 72648, 52126, 50889, 51774, 50889, 55411, 55082, 51153, 50889, 51771, 50889, 51774, 50889, 55342, 50889, 69378, 51077, 51771, 51077, 51774, 50889, 53029, 54243, 52745, 50805, 53029, 52605, 52806, 52446, 51099, 51077, 52003, 51077, 52745, 50889, 53029, 55082, 58748, 50889, 50799, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 54243, 51275, 50889, 51771, 50889, 52706, 50889, 60730, 53912, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 55082, 51435, 50889, 51816, 50889, 51774, 50889, 53571, 50889, 50799, 51489, 51077, 51771, 51077, 51774, 51077, 53029, 61086, 51275, 50889, 51890, 50889, 52745, 50889, 54769, 55082, 51153, 50889, 52126, 50889, 51774, 50889, 53249, 50889, 69296, 51077, 52126, 50889, 51774, 51077, 53249, 67297, 52775, 53912, 51429, 50889, 51771, 50889, 51614, 50889, 53029, 55082, 79092, 51816, 50889, 51614, 50889, 56280, 50889, 50799, 51429, 50889, 51771, 50889, 51614, 50805, 53029, 52864, 56194, 50805, 56280, 52483, 51153, 50889, 51771, 50889, 51774, 50889, 55342, 53912, 51275, 50889, 52427, 50889, 52239, 50889, 55061, 55082, 51489, 50889, 51816, 50889, 53022, 50889, 55411, 50889, 50799, 51429, 51077, 51816, 50889, 51614, 51077, 55061, 67297, 51771, 53912, 51119, 51141, 51771, 50889, 51614, 50889, 55061, 66336, 52775, 50889, 51774, 55069, 74383, 66301, 51538, 52003, 50805, 52745, 50805, 53029, 52864, 52003, 50805, 53722, 52483, 51771, 50805, 52769, 52605, 52427, 50805, 52745, 52446, 52092, 50805, 51614, 52815, 51771, 50805, 52769, 52596, 52427, 50805, 52745, 52961, 52092, 50805, 51614, 50805, 50799, 51516, 51077, 52092, 50889, 52239, 51077, 51660, 51077, 55342, 67297, 51959, 53912, 51435, 50889, 52427, 50889, 52239, 51077, 51614, 50889, 55061, 55082, 51489, 50889, 51959, 50889, 51774, 50889, 55411, 50889, 50799, 51435, 51077, 52427, 50805, 52239, 51077, 51614, 50805, 55061, 52864, 51959, 50805, 51774, 50805, 55411, 52483, 52092, 50889, 52745, 50889, 60730, 53912, 51489, 51077, 51959, 51077, 52239, 51077, 51774, 50889, 55411, 66336, 51614, 52961, 51774, 50805, 69378, 50889, 51771, 50889, 52745, 50805, 60730, 55385, 52806, 52483, 51489, 50889, 52427, 50889, 51660, 50889, 54769, 53912, 51153, 50889, 51816, 50889, 51660, 50805, 53249, 52815, 52769, 52596, 51275, 50889, 51816, 50889, 51614, 50889, 53571, 50889, 50799, 51429, 51141, 51771, 51141, 51614, 50805, 53029, 52864, 52806, 52483, 52745, 52605, 71107, 52775, 50805, 51774, 52446, 72648, 52745, 50889, 53029, 55082, 51153, 50889, 51771, 50889, 53022, 50889, 51774, 50889, 55411, 50889, 69296, 50889, 51771, 50889, 53022, 50889, 51774, 50889, 55411, 54243, 51429, 50889, 51771, 50889, 52495, 50889, 51614, 50889, 55061, 53912, 51153, 50889, 51771, 50889, 53022, 50889, 51774, 50889, 55342, 55082, 51275, 50889, 51816, 50889, 53022, 50805, 51774, 50805, 53571, 52961, 53022, 50805, 52745, 50805, 53029, 50805, 69296, 51077, 51771, 51077, 53022, 51077, 51774, 51077, 55411, 61086, 72648, 52114, 50889, 55243, 55082, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 50889, 50799, 51489, 50889, 51959, 50889, 52239, 50889, 51774, 50889, 55411, 54243, 51275, 50889, 51771, 50889, 52745, 50889, 60730, 53912, 51489, 50889, 51959, 50889, 52239, 50889, 51774, 50889, 55411, 55082, 51435, 50889, 52427, 50889, 52239, 50889, 51614, 50889, 55061, 50889, 50799, 51489, 51077, 51959, 51077, 52239, 51077, 51774, 51077, 55411, 52864, 55061, 52483, 55342, 52605, 53571, 52446, 51275, 50889, 52427, 50889, 52239, 50889, 52769, 52815, 53369, 52596, 51489, 50889, 51771, 50889, 51774, 50889, 55342, 50889, 50799, 51435, 50889, 51771, 50889, 52745, 50889, 55061, 54243, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 53912, 51275, 50889, 51771, 50889, 52706, 50889, 60730, 55082, 51153, 50889, 52775, 50889, 52706, 50889, 58739, 50889, 50799, 51429, 51077, 51771, 51077, 52706, 51077, 59112, 54243, 53571, 53912, 51153, 50889, 51771, 50889, 52822, 50889, 55342, 55082, 51435, 50889, 51816, 50889, 51774, 50889, 53571, 50889, 50799, 51489, 51077, 51771, 51077, 51774, 51077, 53029, 61086, 51275, 51141, 51771, 50889, 52745, 51077, 53029, 66336, 51890, 55069, 73909, 69296, 51538, 51890, 50889, 52769, 51538, 55411, 78907, 52126, 52605, 52003, 52446, 52126, 50889, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 42, 33928, 15229, 22750, 1626, 8593, 26358, 8, 10563, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 6780, 10, 23667, 204, 73, 306, 20889, 6, 5, 13305, 3315, 5, 33301, 6, 2800, 30, 5, 38668, 9590, 8, 21072, 4, 20, 33215, 16739, 9, 163, 428, 6, 12608, 73, 387, 428, 6, 274, 6, 211, 119, 406, 6, 8, 272, 119, 3639, 7, 63, 17627, 17274, 13569, 9862, 6, 442, 24, 10, 1969, 2564, 13, 2365, 50, 1619, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 52632, 51194, 50801, 55456, 50800, 51687, 51103, 51231, 51103, 51414, 51103, 78594, 54456, 62806, 50800, 66866, 52632, 51194, 57986, 76234, 70021, 67782, 50795, 51532, 54150, 54456, 69829, 77993, 53269, 52632, 51178, 63735, 51687, 54249, 50956, 51362, 50906, 51294, 79807, 51541, 51572, 54478, 54456, 62806, 50800, 51231, 51359, 75857, 52632, 51095, 57986, 50882, 51414, 51945, 51647, 54622, 54456, 62806, 50800, 51980, 51518, 50965, 50940, 50906, 50938, 50457, 50956, 50952, 76362, 64613, 51095, 63735, 78594, 54456, 52839, 63628, 50952, 67944, 50965, 50952, 66866, 52632, 51095, 57986, 73485, 51112, 50956, 51238, 50861, 51427, 51532, 54150, 54456, 62400, 77993, 53269, 52632, 50967, 51976, 55900, 50965, 69366, 63628, 50890, 51572, 54478, 54456, 60596, 50800, 56139, 51328, 50956, 50858, 60074, 50445, 50965, 50859, 75857, 52632, 51121, 57986, 50882, 51687, 51242, 51231, 51121, 51414, 51121, 51980, 64290, 50830, 50956, 65449, 50861, 50882, 51647, 54622, 54456, 55966, 61441, 52903, 50906, 53454, 50457, 50871, 52903, 60506, 50812, 70277, 51100, 63735, 51410, 53520, 51303, 52045, 51414, 52045, 78594, 56907, 52808, 50800, 51510, 54149, 52687, 51100, 57986, 71646, 54150, 56907, 70311, 51556, 53269, 52687, 51177, 63735, 51572, 54478, 56907, 69829, 50800, 75857, 52687, 51177, 57986, 50882, 51647, 54622, 56907, 72705, 50800, 76362, 70277, 51100, 63735, 78594, 56907, 57154, 50800, 51510, 54149, 52687, 51111, 57986, 71646, 54150, 56907, 54265, 60661, 51457, 50822, 51556, 50851, 51414, 78583, 52687, 51100, 63735, 51303, 51090, 51572, 54478, 56907, 52839, 50800, 51414, 68527, 52636, 53567, 52687, 51158, 57986, 50882, 51414, 51111, 51647, 52955, 56907, 53021, 50800, 51457, 50938, 76362, 64613, 51100, 63735, 51687, 52045, 51231, 52045, 51414, 53520, 78594, 54456, 52808, 50800, 51510, 54149, 52632, 51100, 57986, 76234, 50830, 50965, 50952, 67944, 51532, 54154, 54456, 70311, 51556, 54362, 52632, 51177, 51976, 59123, 51091, 50956, 51294, 50439, 77448, 51572, 54478, 54456, 69829, 50800, 75857, 52632, 51177, 57986, 50882, 51647, 54622, 54456, 72705, 59747, 50965, 51033, 50956, 50940, 60074, 76362, 64613, 51100, 63735, 78594, 54456, 57154, 63628, 50940, 50965, 65054, 60074, 66866, 52632, 51111, 57986, 73485, 51215, 50956, 51173, 72513, 51388, 51532, 54150, 54456, 54265, 57083, 51231, 51419, 51556, 50851, 51687, 78583, 52632, 51100, 63735, 52303, 53177, 50312, 76234, 67166, 50906, 50859, 51572, 76065, 50906, 54630, 54456, 52839, 50800, 51687, 52098, 50307, 50859, 70588, 51618, 70936, 50906, 51757, 52632, 51158, 57986, 50882, 51687, 51111, 50956, 71644, 50890, 51647, 54622, 54456, 53021, 50800, 51231, 65159, 54484, 50906, 54300, 50871, 55198, 60506, 50812, 70277, 51650, 53365, 51410, 53520, 51303, 52045, 51414, 52045, 78594, 56907, 54068, 50800, 51510, 54149, 52687, 51177, 57986, 71646, 54150, 56907, 55325, 77993, 54362, 52687, 51121, 63735, 51572, 54478, 56907, 55690, 50800, 75857, 52687, 51178, 57986, 50882, 51647, 54622, 56907, 62806, 50800, 76362, 70277, 51178, 63735, 78594, 56907, 54068, 50800, 66866, 52687, 51178, 57986, 71646, 54150, 56907, 56522, 57083, 51457, 54378, 50852, 50858, 51414, 78583, 52687, 51121, 63735, 51303, 51090, 51572, 54478, 56907, 56895, 50812, 51414, 55758, 52687, 51100, 57986, 50882, 51414, 51111, 51647, 54622, 56907, 52808, 50800, 51457, 50938, 76362, 64613, 51194, 63735, 52303, 53454, 51687, 53454, 51231, 53454, 78594, 54456, 62806, 50800, 66866, 52632, 51194, 57986, 76234, 50858, 60074, 70588, 51532, 54150, 54456, 69829, 77993, 53269, 52632, 51178, 51976, 63628, 51294, 50906, 51204, 79807, 51294, 51572, 54478, 54456, 62806, 50800, 75857, 52632, 51095, 57986, 50882, 51647, 54622, 54456, 62806, 63628, 51175, 50965, 51175, 50457, 50906, 51238, 76362, 64613, 51095, 63735, 78594, 54456, 52839, 62674, 50952, 67944, 50421, 50956, 50952, 66866, 52632, 51095, 57986, 76234, 51167, 50906, 51215, 72513, 51505, 51532, 54154, 54456, 62400, 77993, 53269, 52632, 50967, 63735, 51231, 51336, 50965, 73485, 75169, 50880, 51572, 54478, 54456, 60596, 50800, 51414, 51218, 50965, 50921, 75983, 50956, 50858, 75857, 52632, 51121, 57986, 50882, 51980, 63422, 50830, 50956, 50858, 64782, 51647, 54622, 54456, 55966, 59123, 62963, 50864, 51621, 62800, 50906, 53090, 50899, 52045, 50871, 54484, 70277, 51194, 63735, 51410, 53454, 51303, 53454, 51414, 53454, 78594, 56907, 62806, 50800, 66866, 52687, 51194, 57986, 71646, 54150, 56907, 69829, 77993, 53269, 52687, 51178, 63735, 51572, 54478, 56907, 62806, 50800, 75857, 52687, 51095, 57986, 50882, 51647, 54622, 56907, 62806, 50800, 76362, 70277, 51095, 63735, 78594, 56907, 52839, 50800, 66866, 52687, 51095, 57986, 71646, 54150, 56907, 62400, 77993, 53269, 52687, 50967, 63735, 51457, 51336, 51572, 54478, 56907, 60596, 50800, 51825, 51218, 50447, 52636, 53567, 52687, 51121, 57986, 50882, 52932, 50974, 51647, 54622, 56907, 55966, 50800, 51621, 50858, 64613, 51100, 63735, 51687, 51103, 51231, 51103, 51414, 51103, 78594, 54456, 52808, 50800, 51510, 54149, 52632, 51100, 57986, 76234, 72728, 68315, 50906, 50887, 51532, 54154, 54456, 70311, 51556, 54362, 52632, 51177, 63735, 51687, 54249, 50956, 51294, 50906, 51091, 79807, 51541, 51572, 54478, 54456, 69829, 50800, 51231, 51359, 75857, 52632, 51177, 57986, 50882, 51414, 51945, 51647, 54622, 54456, 72705, 50800, 51980, 51518, 70588, 50906, 59747, 50956, 50859, 76362, 64613, 51100, 63735, 78594, 54456, 57154, 62674, 50830, 67944, 50956, 50830, 66866, 52632, 51111, 57986, 73485, 58509, 50879, 72513, 50893, 51532, 54150, 54456, 54265, 77993, 53269, 52632, 51100, 51976, 62674, 69304, 71304, 50840, 51572, 76065, 76251, 50906, 58937, 54456, 50845, 52506, 50800, 56139, 51328, 50956, 50808, 75857, 52632, 51158, 57986, 50882, 51687, 51242, 51231, 51121, 51414, 51121, 51980, 73658, 50858, 62942, 50861, 50880, 51647, 75635, 50899, 52382, 50456, 54456, 53021, 57722, 52382, 50906, 53380, 76362, 70277, 51100, 63735, 51410, 51103, 51303, 51103, 51414, 51103, 78594, 56907, 52808, 50800, 51510, 54149, 52687, 51100, 57986, 71646, 54150, 56907, 70311, 51556, 53269, 52687, 51177, 63735, 51414, 54249, 51572, 54478, 56907, 69829, 50800, 51457, 51359, 75857, 52687, 51177, 57986, 50882, 51825, 51945, 51647, 54622, 56907, 72705, 50800, 52932, 51518, 76362, 70277, 51100, 51976, 72343, 53504, 51553, 53066, 56907, 69596, 51553, 52654, 52687, 51111, 51976, 67221, 52765, 51224, 52658, 56907, 60282, 51224, 52729, 52687, 76010, 56055, 55701, 50441, 51289, 53103, 56907, 50845, 52303, 51328, 50447, 51289, 52843, 52687, 51158, 57986, 51594, 50812, 51414, 51242, 51457, 51121, 51825, 51121, 52932, 54509, 56907, 56751, 54984, 50800, 70963, 76010, 55456, 50800, 51476, 51047, 51687, 51047, 51231, 51047, 78594, 58625, 52808, 60721, 51001, 50962, 66866, 52713, 51100, 57986, 68315, 51001, 71646, 54150, 58625, 51370, 57659, 51001, 50890, 51556, 53269, 52713, 51177, 51976, 55900, 51001, 50894, 51572, 54478, 58625, 69829, 50800, 51476, 50833, 51687, 50833, 51231, 64681, 51001, 51014, 75857, 52713, 51177, 57986, 50882, 51647, 50851, 51476, 50925, 51687, 50925, 51231, 58298, 58625, 53021, 59747, 51001, 51033, 76362, 70963, 51650, 53365, 51687, 51307, 51231, 51307, 51672, 51307, 51327, 51307, 50415, 68455, 78594, 58625 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 11926, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 30062, 620, 7085, 12280, 642, 4, 20, 2125, 16, 278, 11, 83, 3694, 19, 10, 7212, 20889, 9, 13259, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 8, 1171, 10, 33215, 16739, 9, 211, 6, 163, 119, 6, 381, 406, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 61332, 53913, 50832, 50892, 61332, 53913, 50832, 50892, 50799, 52697, 52503, 50902, 51449, 52487, 54270, 50420, 53436, 55490, 50999, 51709, 50432, 50999, 51709, 50444, 50999, 51709, 50456, 50999, 50838, 50799, 52697, 52727, 50902, 74818, 53436, 55490, 50999, 64809, 50999, 63236, 50999, 51709, 50456, 50999, 51174, 50799, 52697, 52727, 50902, 51671, 50420, 53436, 55490, 50999, 51709, 50432, 50999, 51806, 50444, 50999, 51806, 50456, 50999, 51254, 50799, 52697, 52727, 50902, 74818, 53436, 55490, 50999, 51709, 50432, 50999, 51709, 50444, 50999, 51709, 50456, 50999, 51174, 50799, 52697, 52503, 51787, 60756, 74818, 53436, 55490, 50999, 52026, 50335, 54335, 51814, 54342, 50999, 51709, 51814, 59791, 50999, 51709, 51787, 58843, 50999, 51853, 50337, 50981, 50799, 52697, 52727, 50902, 51671, 50420, 53436, 55490, 50999, 52454, 50342, 57648, 51814, 51741, 50325, 51709, 50444, 51787, 51477, 50999, 51709, 50456, 50999, 50838, 50799, 52697, 52727, 50902, 51449, 51487, 55126, 55554, 57232, 51814, 51644, 50327, 51709, 50426, 53117, 54342, 51220, 51709, 53117, 59791, 51487, 51911, 50327, 63190, 51220, 53130, 50339, 53487, 50799, 52697, 52727, 50902, 51671, 50420, 55554, 55490, 51220, 64809, 51220, 51806, 50444, 51220, 51709, 50456, 51220, 50972, 50799, 53260, 52503, 51487, 65064, 74818, 55554, 55490, 51220, 51709, 51814, 54335, 53117, 55544, 53117, 51911, 50327, 68288, 51487, 52019, 50327, 63190, 53117, 51911, 50327, 50838, 50799, 53260, 52727, 51028, 51449, 50968, 74818, 53436, 56599, 50999, 51709, 55226, 57648, 53684, 52019, 50325, 51709, 50444, 51814, 51310, 50999, 51806, 50456, 50999, 50838, 50799, 52697, 52727, 50902, 51449, 51787, 55126, 53436, 56599, 51487, 51644, 50325, 60184, 51814, 54342, 51814, 51741, 50325, 51709, 50444, 52912, 51741, 50325, 51806, 50456, 51814, 53487, 50999, 51006, 50799, 52697, 52727, 50902, 75192, 53436, 55490, 50999, 51709, 50432, 50999, 71113, 55543, 52845, 50318, 63236, 50999, 58959, 57155, 53164, 50317, 63190, 50999, 51174, 50799, 54029, 52727, 53568, 51922, 53117, 68219, 51449, 51146, 50905, 51107, 52440, 52065, 57771, 51491, 54270, 51107, 55597, 51600, 55597, 54294, 55597, 50420, 54895, 55490, 51430, 51644, 50341, 51644, 50322, 60184, 51787, 51712, 50342, 54100, 51114, 51709, 51787, 51911, 50342, 57937, 51488, 52440, 50444, 51114, 51709, 51146, 51911, 50339, 62214, 51787, 51310, 51114, 53130, 50342, 51310, 50799, 54029, 52503, 53568, 51490, 50973, 51314, 51357, 52440, 50420, 54895, 55490, 51114, 51709, 50426, 53117, 51568, 50330, 54342, 52912, 51911, 50334, 51741, 50322, 71113, 51788, 53164, 50313, 51330, 52065, 52025, 51113, 52147, 50444, 51146, 51318, 53117, 51318, 51114, 61637, 51788, 53164, 50313, 51108, 51883, 52025, 50456, 51114, 51079, 50799, 54029, 52727, 51563, 51748, 50861, 51449, 51220, 51712, 50335, 50905, 51088, 52147, 51699, 54373, 51357, 55597, 51107, 55856, 51182, 54270, 54294, 54270, 50420, 53039, 55490, 50902, 51709, 51814, 51644, 50329, 53770, 53117, 51644, 50330, 54342, 53117, 64924, 51709, 51146, 57937, 51491, 52212, 50444, 50902, 51806, 51220, 51741, 50335, 58843, 53117, 53487, 50902, 52169, 50330, 53487, 50799, 54029, 52727, 51563, 51490, 50861, 51314, 51301, 52212, 50420, 53039, 56599, 50902, 52056, 63975, 70448, 51563, 71562, 51108, 51251, 52147, 50444, 50902, 51806, 50450, 51786, 52845, 50310, 63190, 50902, 51174, 50799, 54029, 52503, 51292, 51490, 50916, 51314, 51220, 51644, 50335, 50905, 51301, 52212, 51088, 54270, 51088, 54270, 51357, 55597, 51266, 55597, 54294, 54270, 50420, 53039, 55490, 51814, 51568, 50329, 66228, 51709, 50426, 51146, 51644, 50339, 55544, 53117, 67888, 53130, 50330, 56656, 51067, 51490, 50899, 51314, 51251, 52147, 50444, 51487, 67888, 51709, 51220, 58843, 50973, 72895, 51318, 51430, 51318, 50799, 52890, 52503, 51316, 51490, 51040, 51314, 51794, 52727, 50420, 53039, 56599, 50877, 60184, 51787, 51644, 50325, 54342, 51487, 66920, 53130, 50327, 56656, 50947, 51490, 51027, 51314, 51883, 52440, 50444, 51430, 51310, 50877, 68294, 51318, 50456, 50877, 50972, 50799, 60165, 52503, 50662, 50354, 52988, 52697, 52727, 51925, 65354, 51067, 51922, 50902, 51449, 51114, 55408, 51146, 55408, 52487, 54270, 51251, 55597, 51107, 55856, 51284, 55597, 51113, 54270, 50420, 53436, 55490, 50999, 70550, 50999, 51709, 50444, 50999, 73786, 50999, 50838, 50799, 52697, 52727, 50902, 52335, 50420, 53436, 55490, 50999, 51806, 50432, 50999, 51965, 67964, 54323, 50902, 58667, 50968, 50892, 68093, 52727, 52697, 51671, 50960, 52858, 50322, 50901, 51107, 51703, 52371, 53201, 51883, 52720, 51491, 52720, 51107, 54270, 51600, 53201, 51284, 53201, 50420, 52235, 55490, 53436, 51709, 50947, 74337, 55035, 51067, 52511, 50325, 54777, 53436, 51333, 51292, 52783, 50999, 56389, 51488, 51490, 50444, 53436, 52845, 50322, 58705, 53436, 77882, 50943, 68093, 52727, 52697, 51671, 51357, 51703, 50420, 52235, 56599, 53436, 51709, 51146, 57421, 53436, 52454, 50325, 56389, 51113, 51703, 50444, 53436, 52454, 50322, 51218, 50456, 53436, 51174, 68093, 52727, 52697, 51671, 50960, 52511, 50323, 50901, 51088, 51703, 52371, 53201, 52065, 53201, 51088, 52720, 51107, 54270, 51182, 53201, 51558, 53201, 50420, 53399, 56599, 55554, 51709, 51076, 52511, 50325, 53890, 51067, 52104, 50327, 54259, 55554, 51108, 51563, 52783, 51220, 56389, 51491, 51490, 50444, 55554, 51709, 50951, 59827, 55554, 51853, 50327, 53380, 68093, 52727, 52697, 51449, 51301, 51490, 50420, 53399, 55490, 55554, 51709, 50432, 55554, 65461, 51251, 52147, 50444, 55554, 51806, 50456, 55554, 51254, 76139, 52727, 53260, 51449, 50998, 52511, 50323, 50901, 51266, 51447, 52830, 51748, 52065, 51748, 51088, 53201, 51266, 53201, 51182, 53201, 51558, 52720, 50420, 53399, 55490, 55554, 51108, 51076, 77882, 53890, 51292, 52216, 50327, 54259, 55554, 51806, 51563, 52783, 51220, 56509, 51107, 51490, 50444, 55554, 51709, 50951, 58705, 55554, 53131, 50327, 50943, 76139, 52727, 53260, 51671, 51488, 51703, 53215, 51748, 51794, 51671, 50420, 52235, 55490, 53436, 52056, 51316, 52216, 50332, 58299, 51292, 57524, 53436, 51806, 51788, 52136, 51399, 56389, 51113, 77494, 53436, 52454, 50325, 79961, 50947, 73786, 53436, 51079, 68093, 52727, 52697, 51449, 50960, 52511, 50322, 65584, 51490, 52371, 55392, 51883, 52829, 51491, 52829, 51107, 52720, 51600, 53201, 51284, 52720, 50420, 52235, 55490, 53436, 51806, 50947, 74337, 55035, 51067, 77882, 54259, 53436, 51333, 51786, 52980, 50999, 56389, 51488, 51490, 50444, 53436, 52845, 50330, 57414, 53436, 53130, 50325, 53651, 68093, 52727, 52697, 51671, 51357, 51447, 50420, 52235, 55490, 53436, 70550, 53436, 65184, 51067, 51333, 52371, 51330, 51113, 51703, 50444, 53436, 51709, 50450, 51316, 51333, 53599, 73786, 53436, 51174, 50799, 52721, 52727, 54029, 51671, 51076, 70358, 51458, 50327, 65584, 51490, 54333, 55392, 53148, 52720, 51251, 52720, 51357, 53201, 51107, 53201, 51600, 52720, 50420, 52678, 56599, 54895, 51330, 51786, 52511, 50320, 51458, 50329, 55035, 53568, 52511, 50322, 51458, 50330, 54777, 54895, 52056, 55543, 52858, 50322, 51734, 50330, 56389, 55543, 51748, 51488, 77494, 54895, 51709, 50902, 51734, 50327, 59827, 54895, 53130, 50330, 51218, 51114, 51218, 50799, 52721, 52727, 54029, 51671, 51357, 51490, 50420, 52678, 55490, 54895, 51709, 60718 ]
[ 0, 250, 33558, 3152, 8, 3495, 2214, 4246, 2382, 3459, 8669, 6, 3459, 9590, 6, 3152, 6757, 6, 326, 5638, 18026, 6, 8, 36075, 8669, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 17407, 30, 10, 15352, 30054, 8, 20425, 16464, 6, 19, 5, 40286, 83, 8, 211, 12748, 5, 2270, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 58282, 51362, 67653, 51351, 50426, 50847, 51226, 50432, 51171, 64740, 50946, 76623, 50847, 51358, 50450, 51171, 74323, 50885, 51364, 58282, 51226, 67653, 75749, 50847, 51294, 50432, 51171, 76098, 50946, 51241, 50444, 50847, 51896, 50450, 51171, 74323, 50885, 51141, 68408, 51226, 67653, 78797, 50847, 51362, 50432, 51751, 64740, 50946, 51241, 50444, 50847, 51623, 50450, 51751, 74323, 50885, 51141, 68408, 51362, 67653, 78797, 50847, 51362, 50432, 51751, 76716, 50946, 51241, 50444, 50847, 51358, 50450, 51751, 74323, 50885, 51364, 61281, 51226, 67653, 75749, 50847, 51362, 50432, 51217, 76098, 50946, 51241, 50444, 50847, 51896, 50450, 51217, 74323, 74233, 59008, 51362, 67653, 75749, 50847, 51362, 50432, 51164, 76716, 50946, 51351, 50444, 50847, 51356, 50450, 51164, 51157, 50456, 50885, 50807, 50799, 52333, 52250, 51676, 52570, 51982, 53073, 52836, 51492, 50988, 51933, 50420, 68567, 68567, 50935, 51354, 50935, 51483, 51171, 55068, 50426, 50988, 51417, 50431, 50935, 52359, 50935, 72988, 51090, 50909, 62988, 72758, 50935, 51110, 50935, 67702, 50988, 51157, 50988, 51264, 50456, 51617, 51469, 50850, 51090, 50850, 51237, 50946, 51894, 57746, 51941, 50420, 50847, 57753, 60247, 50847, 58269, 61952, 62136, 74601, 80032, 50847, 75044, 50988, 51048, 50455, 50850, 56210, 50850, 50923, 57746, 51941, 50420, 68823, 50847, 51167, 50935, 51354, 50935, 50975, 51171, 54834, 50426, 50988, 51446, 50431, 50935, 52359, 50935, 72988, 51090, 50909, 51054, 50946, 72758, 50935, 50967, 50935, 67702, 50988, 51159, 50988, 51359, 50456, 51617, 51696, 50850, 70441, 51054, 50946, 51991, 57746, 51941, 50420, 50847, 57753, 52030, 50847, 58269, 62712, 62136, 74601, 50847, 68941, 61860, 50988, 51157, 50455, 50850, 55764, 50850, 51012, 57746, 51941, 50420, 72627, 68567, 50935, 51379, 50935, 50975, 51171, 51591, 50426, 50988, 51077, 50431, 50935, 52359, 50935, 64626, 50896, 50909, 51237, 50946, 72758, 50935, 51095, 50935, 67876, 50988, 68132, 51077, 50456, 51617, 51655, 50946, 51157, 50850, 51054, 50850, 51661, 52591, 50847, 68438, 51073, 57189, 51675, 50432, 50847, 62712, 77303, 51291, 50946, 51896, 50433, 50847, 55451, 50847, 51237, 50445, 50944, 53794, 50953, 51157, 50456, 50850, 50923, 50457, 50885, 51036, 50459, 50868, 52392, 50460, 50847, 52500, 50461, 70385, 50868, 51566, 52534, 51103, 51676, 51184, 52328, 51696, 50847, 51055, 50988, 52536, 59812, 51541, 50868, 51745, 50847, 51573, 56107, 51411, 66368, 51460, 50885, 51500, 50847, 56812, 50964, 58761, 50816, 67861, 51566, 50885, 51285, 50868, 51661, 50988, 51661, 52288, 51056, 51617, 51184, 54488, 51359, 50816, 53023, 50816, 62338, 68907, 50927, 69242, 52925, 50816, 64073, 72701, 51551, 50944, 51196, 50946, 52282, 53758, 68629, 53041, 50944, 50967, 60309, 53083, 50927, 68629, 52738, 50816, 50841, 53206, 55971, 51914, 54430, 51676, 52208, 52333, 52017, 51063, 51264, 51075, 51307, 51211, 51264, 52563, 51157, 51982, 53601, 51854, 67841, 53270, 59566, 53403, 52488, 50975, 53768, 51483, 51471, 50973, 52254, 50426, 50953, 51157, 50816, 54726, 52417, 52194, 50975, 52509, 51483, 51468, 50877, 52254, 55208, 60075, 54147, 52616, 59287, 53084, 51483, 53298, 51379, 52261, 50861, 52254, 50450, 50953, 56099, 54726, 52579, 74959, 52148, 51527, 53254, 51527, 51956, 50899, 59189, 50461, 52421, 51696, 52288, 51157, 51617, 52017, 51075, 51307, 51155, 51359, 51046, 72163, 55033, 63223, 52670, 50927, 51157, 50816, 54726, 72793, 52742, 50927, 55548, 54147, 52616, 65495, 52105, 57703, 58162, 54563, 52579, 65495, 51471, 50461, 51063, 51359, 51075, 51353, 51211, 51359, 52563, 51048, 52333, 51696, 51676, 52017, 51854, 70153, 54539, 67444, 52762, 50953, 69242, 54563, 52417, 52488, 50923, 53768, 50911, 51842, 50973, 52254, 55208, 55548, 54539, 53044, 51205, 50938, 52194, 51021, 52509, 51030, 51762, 50877, 51819, 50449, 53084, 56160, 60654, 53298, 56867, 54726, 61508, 64109, 51228, 50938, 52148, 51573, 53254, 51573, 51468, 50899, 56121, 52288, 51048, 51617, 52017, 52421, 51696, 51075, 51359, 51155, 51359, 51046, 67841, 55033, 63223, 52670, 50927, 51159, 53175, 56905, 53708, 52667, 51947, 51735, 51471, 53758, 60075, 54539, 52986, 65495, 52384, 50824, 56890, 51213, 58822, 54563, 52579, 69275, 79651, 51063, 51307, 51075, 51264, 51211, 51359, 52563, 51048, 51676, 52017, 52333, 51696, 51854, 67841, 55033, 59566, 61072, 52641, 50953, 69242, 54563, 52417, 52488, 50976, 53768, 50976, 51956, 50973, 56557, 55208, 60075, 55033, 58780, 52194, 50911, 52509, 57442, 72336, 51205, 50938, 51762, 50449, 53084, 51012, 53298, 68188, 56120, 50450, 50964, 56099, 54563, 61250, 52148, 51505, 50456, 66494, 53254, 51158, 51956, 50899, 56121, 52288, 51157, 52421, 51696, 51617, 52208, 51075, 51307, 51155, 51307, 51046, 51307, 51211, 70153, 55033, 53227, 51866, 51483, 57451, 50927, 69242, 53708, 52667, 53084, 51286, 51471, 53758, 60075, 54539, 58616, 51866, 51388, 50444, 65495, 61054, 51345, 51762, 51086, 63806, 50450, 51019, 56099, 54563, 59617, 55613, 51362, 50900, 54830, 50455, 51866, 59727, 50927, 60075, 51750, 56834, 51829, 52379, 52534, 50938, 51676, 52017, 51953, 52017, 51063, 51941, 51143, 51518, 51386, 59962, 54539, 53227, 74100, 52384, 50911, 58139, 50964, 58162, 53708, 52925, 70587, 51468, 56107, 55548, 54147, 53044, 70587, 51866, 50803, 55091, 50950, 51762, 50916, 52722, 50450, 70587, 51866, 50950, 55091, 54698, 54726, 53268, 74100, 51866, 51066, 55091, 51603, 51046, 51417, 51075, 51446, 51211, 50943, 51020, 51055, 51083, 51496, 51956, 52288, 50865, 51982, 52017, 51617, 52208, 52421, 51696, 50798, 54539, 63222, 52698, 50894, 53254, 75025, 52254, 50420, 66482, 51529, 51111, 51268, 51388, 51842, 50425, 52698, 51030, 53254, 57327, 50927, 58162, 53708, 59483, 52384, 51054, 55613, 53177, 50304, 52254, 50432, 66482, 51075, 51413, 51046, 51417, 60273, 51089, 51016, 51083, 51496, 51468, 53758, 60075, 54539, 52986, 58773, 52058, 51483, 61054, 51167, 51529, 51221, 51268, 51388, 58140, 50820, 51086, 53265, 50450, 51213, 50865, 51083, 57438, 54563, 53268, 69275, 51118, 53834, 51539, 56172, 51914, 52570, 51676, 53501, 52333, 51761, 51063, 51191, 51075, 53002, 52563, 51048, 51595, 51274, 51401, 53073, 50798, 55164, 58888, 53203, 50798, 52762, 51271, 53834, 60741, 51063, 51091, 66962, 50983, 51829, 73830, 67777, 55164, 66999, 50829, 51450, 50835, 52129, 69418, 58560, 51063, 53380, 50450, 51443, 51264, 52333, 56769, 53175, 51500, 51595, 54454, 50798, 53396, 63930, 57900, 54359, 52058, 51285, 50799, 51931, 51368, 50917, 51368, 50938, 51039, 50891, 51482, 50808, 51482, 52450, 51471, 51482, 50938, 51482, 50865, 51361, 50870, 51368, 50924, 51368, 50948, 51570, 50820, 51482, 50809, 51482, 50809, 64181, 51482, 50795, 51482, 55260, 51931, 51368, 50948, 51368, 59465, 50964, 55998, 51916, 50908, 51482, 50795, 51482, 50795, 50460, 51083, 51894, 50461, 51020, 52069, 51020, 51945, 51083, 51894, 52288, 51036, 51676, 51183, 51617, 51307, 51982, 51353, 51185, 51894, 51023, 52069, 51023, 51945, 58140, 50820, 51265, 50936, 51265, 50936, 50415, 51185, 52069, 51039, 50891, 51482, 50809, 51482, 52329, 51471, 51482, 50936, 51482, 50936, 51361, 50891, 51265, 50936, 51265, 64104, 52421, 51148, 51762, 51482, 50858, 51482, 50858, 65947, 51482, 50936, 51482, 58111, 51866, 51235, 51471, 51265, 50923 ]
[ 0, 250, 765, 5175, 2214, 4246, 10, 13305, 6, 38668, 3038, 6, 8, 10, 17605, 9590, 6, 2351, 10, 11739, 9, 980, 219, 8, 2933, 43118, 29492, 19, 15352, 30054, 4785, 4, 8504, 11, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 18872, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 230, 6, 1918, 6, 272, 401, 6, 230, 73, 534, 6, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50871, 52115, 50877, 51631, 50876, 56645, 51736, 50877, 51646, 50900, 51918, 50861, 51798, 54062, 54666, 55648, 51923, 54062, 54828, 50795, 50799, 53792, 50807, 55179, 53394, 50991, 57340, 51631, 53792, 55695, 76291, 53482, 61690, 50877, 51646, 53792, 50807, 55179, 53394, 62478, 50877, 51798, 54629, 55695, 76291, 53482, 59592, 50877, 50795, 50799, 55995, 50807, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 54629, 56036, 51646, 53792, 50807, 55179, 53394, 62478, 50877, 51798, 54629, 54666, 76291, 53482, 59592, 53792, 56036, 50795, 50799, 54062, 60339, 50795, 53482, 50991, 55902, 51631, 55833, 55695, 55648, 50795, 53508, 50991, 58319, 51646, 54629, 60339, 50795, 53482, 50991, 58365, 51798, 54531, 55695, 55648, 50795, 53508, 59592, 77916, 50799, 53792, 50918, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 50877, 51646, 55179, 53394, 62478, 50877, 51798, 53792, 54666, 76291, 53482, 59592, 54531, 56036, 50795, 50799, 54629, 55890, 50795, 53508, 61000, 50973, 51631, 54629, 56831, 79564, 53633, 61690, 50973, 51646, 54629, 60339, 50795, 53482, 50991, 58365, 51798, 54531, 54666, 55648, 50795, 53508, 59592, 55833, 54828, 50795, 50799, 54629, 50807, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 53792, 56036, 51646, 54283, 59153, 50795, 53633, 62478, 50877, 51798, 54283, 55673, 76291, 53797, 59592, 54283, 56036, 50795, 50799, 54531, 55890, 50795, 53508, 61000, 50973, 51631, 53792, 56831, 79564, 53633, 61690, 50973, 51646, 55015, 55890, 50795, 53508, 62478, 50973, 51798, 54283, 56831, 79564, 53633, 59592, 50973, 50795, 50799, 54062, 70339, 50795, 53482, 50991, 55902, 51631, 50876, 55648, 50795, 53508, 50991, 58319, 51646, 50900, 50795, 53482, 50991, 58365, 51798, 54062, 54666, 55648, 50795, 53508, 59592, 54062, 54828, 50795, 50799, 54531, 60339, 50795, 53482, 50991, 55902, 51631, 54531, 55695, 55648, 50795, 53508, 50991, 58319, 51646, 54531, 60339, 50795, 53482, 50991, 58365, 51798, 54629, 55695, 55648, 50795, 53508, 59592, 77916, 50799, 54531, 60339, 50795, 53482, 50991, 55902, 51631, 50876, 55648, 50795, 53508, 61690, 55015, 54828, 51646, 54062, 60339, 50795, 53482, 50991, 58365, 51798, 54062, 54666, 55648, 50795, 53508, 59592, 54062, 54828, 50795, 50799, 54629, 50807, 55179, 53394, 50991, 57340, 51631, 54629, 55695, 76291, 53482, 61690, 50877, 51646, 54629, 50807, 55179, 53394, 62478, 50877, 51798, 54531, 54666, 76291, 53482, 59592, 55833, 56036, 50795, 50799, 54629, 50918, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 50877, 51646, 55179, 53394, 62478, 50877, 51798, 54629, 54666, 76291, 53482, 59592, 55833, 56036, 50795, 50799, 55995, 65757, 50795, 53900, 50991, 55961, 51631, 55833, 56793, 55673, 50795, 53394, 50991, 58783, 51646, 54283, 55890, 50795, 53508, 62478, 50906, 51798, 55015, 56831, 79564, 53633, 59592, 50906, 50795, 50799, 54531, 60339, 50795, 53482, 50991, 55902, 51631, 50876, 55648, 50795, 53508, 61690, 53792, 54828, 51646, 54062, 50807, 55179, 53394, 62478, 50877, 51798, 53792, 54666, 76291, 53482, 59592, 54629, 56036, 50795, 50799, 55995, 50807, 55179, 53394, 50991, 57340, 51631, 55833, 54666, 76291, 53482, 61690, 55833, 56036, 51646, 54629, 60339, 50795, 53482, 50991, 58365, 51798, 54531, 55695, 55648, 50795, 53633, 51923, 77916, 54330, 50795, 50799, 53792, 50918, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 50877, 51646, 50871, 63831, 75377, 50931, 50918, 53394, 50807, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 15352, 30054, 3152, 8, 3495, 2214, 4246, 21979, 8669, 6, 3459, 8, 21979, 9590, 6, 38668, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 9, 21436, 13410, 228, 2289, 6, 7630, 14805, 10, 1372, 8, 33558, 6711, 1328, 63, 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 ]	[ 58402, 51598, 51243, 52004, 51283, 67749, 51283, 51076, 79309, 51390, 52718, 51590, 51080, 57034, 51080, 50799, 50639, 51507, 51243, 53076, 51283, 67749, 51283, 50947, 79309, 51390, 52718, 51229, 51080, 69765, 51080, 50799, 50639, 51507, 50932, 51924, 51801, 50683, 50317, 51801, 50947, 51801, 50798, 52630, 51875, 66377, 54948, 60103, 52676, 51785, 53656, 52267, 51785, 53656, 52568, 51875, 66377, 54948, 60103, 50817, 50799, 50639, 51785, 56203, 52630, 51875, 66377, 54948, 60103, 52676, 51785, 53656, 52267, 51785, 53656, 52568, 51875, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 51801, 52246, 51801, 50798, 52630, 65905, 59710, 50838, 51317, 50838, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 51283, 59710, 51283, 51317, 51283, 50688, 50317, 55116, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 50798, 52630, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 51243, 52042, 63854, 52630, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 50932, 51450, 52267, 65698, 53656, 52568, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 51243, 52383, 63854, 52302, 65905, 50688, 50316, 52688, 51209, 50838, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 51283, 51450, 50817, 52129, 52568, 51229, 50932, 69765, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 51801, 52246, 51801, 50798, 52630, 65905, 59710, 50838, 51317, 50838, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 51283, 59710, 51283, 51317, 51283, 50688, 50317, 55116, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 50798, 52630, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 51243, 52042, 63854, 52630, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 50932, 51450, 52267, 65698, 53656, 52568, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 51243, 52383, 63854, 52302, 65905, 50688, 50316, 52688, 51209, 50838, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 51283, 51450, 50817, 52129, 52568, 51229, 50932, 69765, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 50932, 52246, 56203, 52630, 51875, 50932, 65905, 59710, 50838, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 50932, 59710, 50932, 50688, 50317, 54498, 51875, 50932, 52246, 56203, 52267, 50688, 50308, 53656, 52568, 51875, 50932, 52246, 50932, 50688, 50313, 59355, 54948, 60103, 52193, 50688, 50317, 50838, 50799, 50639, 51875, 50932, 51934, 50932, 52246, 50932, 50688, 50320, 56203, 52630, 51875, 50932, 65905, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51366, 51283, 50688, 50313, 64025, 51875, 50932, 52246, 50932, 55094, 52129, 52568, 51875, 50932, 51917, 50932, 52246, 50932, 50688, 50308, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 50932, 52042, 56203, 52630, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 54498, 52241, 50932, 52042, 56203, 52267, 65698, 53656, 52568, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 50932, 52383, 56203, 52302, 65905, 50688, 50316, 52688, 52607, 50932, 51209, 50838, 52383, 50932, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 64025, 52607, 50932, 52383, 50932, 55094, 52129, 52568, 52607, 50932, 51229, 50932, 69765, 50932, 52383, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 50932, 52246, 56203, 52630, 51875, 50932, 65905, 59710, 50838, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 50932, 59710, 50932, 50688, 50317, 54498, 51875, 50932, 52246, 56203, 52267, 50688, 50308, 53656, 52568, 51875, 50932, 52246, 50932, 50688, 50313, 59355, 54948, 60103, 52193, 50688, 50317, 50838, 50799, 50639, 51875, 50932, 51934, 50932, 52246, 50932, 50688, 50320, 56203, 52630, 51875, 50932, 65905, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51366, 51283, 50688, 50313, 64025, 51875, 50932, 52246, 50932, 55094, 52129, 52568, 51875, 50932, 51917, 50932, 52246, 50932, 50688, 50308, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 50932, 52042, 56203, 52630, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 54498, 52241, 50932, 52042, 56203, 52267, 65698, 53656, 52568, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 50932, 52383, 56203, 52302, 65905, 50688, 50316, 52688, 52607, 50932, 51209, 50838, 52383, 50932, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 64025, 52607, 50932, 52383, 50932, 55094, 52129, 52568, 52607, 50932, 51229, 50932, 69765, 50932, 52383, 66377, 54948, 60103, 50817, 50799, 50639, 51598, 51080, 52020, 61619, 52630, 51590, 50838, 57034, 50838, 65698, 59355, 54948, 60103, 52265, 51590, 50932, 57034, 50932, 65698, 54498, 51598, 51080, 52020, 61619, 52267, 51590, 50838, 65698, 53656, 52568, 51590, 50838, 65698, 59355, 54948, 60103, 52193, 51590, 50932, 65698, 50932, 50799, 50639, 51632, 51080, 51874, 61619, 52302, 65905, 50688, 50316, 52688, 51209, 50838, 50688, 50315, 59355, 54948, 60103, 52265, 51256, 51283, 50688, 50313, 64025, 51632, 51080, 51874, 51080, 55094, 52129, 52568, 51209, 50932, 50688, 50315, 66377, 54948, 60103, 50817, 50799, 50639, 51860, 51080, 51209, 51080, 53691, 51080, 52429, 51080, 50688, 50316, 65542, 53578, 50688, 50316, 50838, 51768, 54948, 60103, 54396, 50688, 50316, 79410, 51860, 51080, 51209, 51080, 53691, 51080, 52429, 51080, 50688, 50316, 51172, 55094, 52129, 53851, 50688, 50315, 50838, 51955, 54948, 60103, 54085, 50688, 50313, 51172, 50799, 50639, 52343, 51080, 51451, 51243, 52490, 51080, 78636, 51243, 55094, 51768, 54948, 60103, 52676, 52343, 51080, 52490, 51080, 55094, 52129, 50817, 51955, 54948, 60103, 50817, 50799, 50639, 51507, 50932, 51209, 51172, 55616, 51172, 50688, 50315, 51172, 50423, 51209, 50838, 55616, 50838, 50688, 50315, 52688, 51507, 70342, 51209, 51172, 55616, 51172, 50688, 50315, 79410, 51507, 50932, 51209, 51172, 55616, 51172, 50688, 50315, 51172, 50447, 65905, 59710, 50838, 50688, 50316, 52985, 51507, 70256, 51408, 51172, 56510, 51172, 50688, 50317, 51172, 50799, 50639, 51507, 50932, 51590, 51243, 69765, 51243, 65698, 74743, 51507, 54498, 51507, 54980, 51507, 50932, 50799, 50639, 51875, 51801, 52246, 51801, 50798, 52630, 65905, 59710, 50838, 51317, 50838, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 51283, 59710, 51283, 51317, 51283, 50688, 50317, 55116, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103 ]
[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 42, 15229, 16, 17407, 30, 63, 2635, 6, 38467, 20889, 8, 63, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 1575, 10, 6755, 12547, 6, 9590, 3863, 6, 1515, 21305, 6, 17035, 873, 2401, 6, 8, 2352, 6757, 6, 2351, 10, 4066, 6, 30062, 620, 7085, 2369, 4, 20, 6711, 16, 4814, 3722, 8, 9066, 6, 7630, 14805, 10, 1472, 9, 4149, 8, 9884, 4, 20, 33215, 16739, 9, 211, 119, 6, 272, 119, 6, 272, 37152, 6, 211, 119, 6, 8, 83, 3639, 7, 5, 25306, 619, 9, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50619, 55527, 53066, 51638, 50808, 51088, 52450, 53060, 51047, 55478, 52658, 51251, 50808, 51088, 52599, 56847, 53103, 76809, 51088, 52741, 55455, 51109, 54713, 52863, 51426, 50808, 51491, 50808, 50799, 53060, 50915, 55478, 53066, 51251, 50808, 70502, 51107, 52450, 52601, 51047, 54668, 51109, 66168, 52658, 51251, 50808, 51113, 79923, 52599, 55705, 51397, 55527, 53103, 51251, 50808, 51165, 79923, 52741, 53916, 51109, 55527, 52863, 79421, 51165, 50808, 51488, 50938, 50799, 52601, 50915, 54668, 51422, 55840, 55085, 51154, 50938, 51113, 50938, 51107, 56412, 54012, 51109, 67312, 53961, 51088, 50938, 51113, 50938, 51266, 57581, 53151, 51109, 58942, 55040, 51154, 50938, 51113, 50938, 51201, 57415, 53343, 50866, 53883, 51397, 59766, 51109, 55527, 54752, 52601, 50866, 51088, 50938, 51357, 50938, 51201, 50938, 50799, 53343, 51109, 56848, 51109, 60244, 55085, 51088, 50938, 51093, 50938, 51395, 56412, 52601, 50866, 57570, 51109, 53013, 51047, 55705, 50866, 58942, 53961, 51836, 50866, 54668, 50866, 51251, 50938, 51491, 50938, 51113, 57581, 52601, 51109, 53883, 51109, 55705, 51109, 55478, 55040, 51251, 50938, 51088, 50938, 51107, 57415, 54012, 51109, 56065, 51109, 55465, 51109, 54670, 50845, 56847, 54752, 54668, 50915, 51301, 50938, 51113, 50938, 51488, 50938, 50799, 53151, 50866, 58047, 51397, 53013, 50915, 55527, 55085, 54012, 50810, 53060, 50810, 51165, 50938, 51107, 50938, 51201, 67078, 52601, 50810, 53157, 52654, 51836, 51397, 54670, 51109, 53060, 51109, 54713, 53961, 51165, 50938, 51093, 50938, 51266, 57581, 56065, 51109, 53157, 51397, 54668, 51452, 55840, 55040, 51113, 50938, 51093, 50938, 51201, 57415, 52601, 50845, 53151, 51047, 58942, 54752, 51836, 50866, 51107, 50938, 51201, 50938, 51284, 50938, 50799, 52032, 51397, 53013, 51109, 55527, 55085, 51165, 50938, 51201, 50938, 51182, 56412, 53343, 50845, 53445, 51109, 53060, 51134, 55527, 53961, 52601, 50845, 51165, 50938, 51107, 50938, 51182, 57581, 52196, 51109, 53916, 50845, 54536, 51397, 56847, 55040, 52601, 50915, 53157, 50866, 51113, 50938, 51107, 50938, 51201, 57415, 51946, 51109, 54670, 51109, 56847, 54752, 53916, 50866, 51088, 50938, 51488, 50938, 51266, 50938, 50799, 51996, 51109, 52601, 51109, 53013, 51109, 53013, 51109, 55120, 55085, 51154, 50938, 51107, 50938, 51107, 56412, 51947, 51157, 52698, 51157, 53397, 51157, 54713, 53961, 51093, 50936, 51600, 50936, 51284, 50936, 51811, 57626, 52339, 51157, 51866, 51157, 52488, 51157, 55478, 55040, 51165, 50936, 51182, 50936, 51394, 50936, 51384, 58111, 53689, 50938, 51485, 50938, 52351, 50806, 53093, 51157, 52698, 51157, 52194, 51157, 56847, 54752, 53689, 50938, 51485, 50938, 52351, 50806, 51113, 50936, 51107, 50936, 51304, 50936, 52405, 50936, 75315, 51157, 51485, 51157, 52820, 50896, 51088, 50936, 53266, 51157, 51866, 51157, 52178, 51157, 55527, 65314, 51926, 50806, 51926, 54901, 51182, 50821, 51182, 52422, 53445, 51446, 51088, 50936, 55699, 51226, 53155, 50938, 55527, 50938, 56487, 52407, 50429, 51182, 50806, 51182, 55246, 51088, 74567, 52877, 51088, 50936, 53155, 50938, 55527, 50938, 50441, 51395, 50806, 51395, 52692, 55699, 71097, 51426, 50821, 51426, 53153, 58030, 50889, 53013, 51446, 51491, 50936, 59440, 50936, 52123, 51226, 57478, 50938, 66168, 50938, 64655, 51470, 55546, 52407, 50453, 51284, 50806, 51284, 52931, 59440, 68237, 51113, 72577, 50821, 50799, 53445, 51157, 51088, 50936, 55699, 50896, 53155, 50938, 55527, 50938, 56487, 51470, 50417, 51394, 50806, 51394, 52774, 52123, 67808, 72159, 51165, 52422, 51946, 51446, 54536, 51157, 55465, 51157, 51113, 50936, 53444, 50936, 54445, 51055, 51555, 51226, 53941, 50938, 56847, 50938, 57862, 51166, 58258, 51466, 54602, 52407, 50429, 51266, 50806, 51266, 52309, 53444, 69200, 51301, 50821, 51301, 52877, 53453, 51157, 53013, 51157, 51165, 50936, 54099, 51055, 52123, 50896, 54296, 50938, 55478, 50938, 57281, 51166, 55546, 51466, 50441, 51107, 50806, 51107, 52692, 51555, 71097, 51251, 50821, 51251, 53153, 53780, 51157, 52601, 51446, 54536, 51157, 52915, 51157, 51113, 50936, 52089, 50936, 54445, 51055, 52679, 50896, 51612, 51226, 53941, 50938, 56847, 50938, 57862, 51470, 50453, 51304, 50806, 51304, 52931, 52089, 68237, 51093, 68896, 50821, 50799, 51946, 50938, 53445, 51157, 53453, 51157, 51088, 50936, 51555, 50806, 55699, 51055, 54099, 51055, 53155, 50938, 55527, 50938, 56487, 51470, 50417, 51394, 50806, 51394, 52774, 51996, 50938, 51783, 50936, 51612, 67808, 72159, 51165, 52422, 53064, 50938, 53916, 51157, 54536, 51157, 53060, 51157, 51113, 50936, 52170, 50936, 52041, 50806, 54445, 51055, 51555, 51055, 53941, 50938, 56847, 50938, 57862, 51470, 50429, 51182, 50806, 51182, 52309, 52196, 50938, 51584, 50936, 52170, 69200, 51088, 74567, 52877, 52665, 51157, 52601, 51157, 53453, 50938, 53157, 51157, 51165, 50936, 54099, 50806, 52123, 51055, 51783, 51055, 51612, 50896, 54296, 50938, 55478, 50938, 57281, 51470, 50441, 51201, 50806, 51201, 52692, 54536, 50938, 51113, 50936, 54445, 50936, 53941, 50938, 56847, 50938, 57862, 51470, 50447, 51154, 50821, 51154, 53153, 52032, 51157, 54012, 51157, 53445, 50938, 53060, 51157, 51088, 50936, 55699, 50806, 51555, 51055, 51722, 51055, 52075, 51055, 53155, 50938, 55527, 50938, 56487, 51470, 50453, 51394, 50806, 51394, 52931, 52915, 50938, 51093, 50936, 52679, 50936, 53011, 50938, 54713, 50938, 54977, 51470, 50459, 72159, 72159, 50799, 52196, 51157, 53151, 51157, 53712, 51157, 54668, 50938, 51154, 51055, 75761, 57330, 51055, 51584, 51055, 52037, 51055, 53448, 51157, 55840, 51157, 56301, 51738, 50417, 51284, 50806, 51284, 52774, 53013, 50938, 52123, 67808, 51113, 72577, 52422, 53339, 51157, 53343, 50938, 53445, 51157, 53060, 50938, 51088, 51055, 52184, 50936, 51555, 50806, 55699, 51055, 51902, 51055, 53155, 51157, 55527, 51157, 56487, 51738, 50429, 51558, 50806, 51558, 52309, 52601, 50938, 53157, 50938, 51783, 50936, 51612, 69200, 51357, 50821, 51357, 52877, 51836, 50938, 53343, 51157, 52915, 51157, 53699, 51204, 51299, 51055, 51567, 50806, 52679, 51055, 52184, 51055, 52623, 51226, 53398, 51157, 60244, 51157, 58496, 51738, 50441, 51304, 50806, 51304, 52692, 52032, 50938, 51722, 55967, 51093, 68896, 53153, 52196, 51204, 52601, 50938, 53712, 51157, 51154, 51055, 51612, 50806, 57330, 51055, 51584, 51226, 53448, 51157, 55840, 51157, 56301, 51738, 50453, 51811, 50806, 51811, 52931, 51836, 50938, 53157, 50808, 51783, 50821, 51567, 68237, 53699, 50808, 51395, 50821, 51395, 50821, 52623, 50821, 50799, 52601, 51157, 53453, 51157, 53013, 51157, 51165, 51055, 54099, 50936, 51612, 50936, 52123, 51167, 54296, 51157, 55478, 51157, 57281, 51738, 50417, 51384, 50806, 51384, 52774, 51946, 50808, 51555, 50821, 51612, 50821, 54099, 67808, 53780, 50808, 76614, 76614, 52123, 50821, 52089, 50821, 51612, 52422, 51946, 50938, 53883, 51446, 53699, 50938, 55705, 51157, 51395, 50936, 52623, 50936, 51555, 50936, 51722, 50936, 52290, 51226, 55724, 50938, 56815, 50938, 56445, 51470, 50429, 51926, 50806, 51926, 52309, 52601, 50938, 53013, 50938, 51107, 50936, 52123, 50936, 51722, 50936, 51612, 50936, 53827, 50938, 55120, 50938, 55546, 51470, 50435, 51182, 50821, 51182, 52877, 53343, 51157, 52915, 50938, 54668, 51446, 51093, 50936, 52679, 50936, 51584, 51055, 52184, 50896, 53011, 50938 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 4246, 10, 13602, 6757, 6, 13305, 6, 38668, 11212, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 27841, 139, 20889, 4, 20, 33301, 7630, 6568, 10, 1472, 9, 36474, 13005, 8, 16, 20455, 9, 1619, 8, 822, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 51966, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 55561, 51097, 53205, 51097, 52892, 51097, 53281, 51097, 51476, 50807, 71217, 74460, 51818, 52910, 51966, 52794, 50433, 57457, 51328, 53205, 51328, 52690, 51060, 51231, 67174, 51966, 52794, 50439, 67281, 51097, 57537, 51097, 55349, 50807, 51719, 52728, 51966, 52794, 62368, 52462, 56148, 51671, 55646, 51671, 54251, 51671, 56154, 51671, 51207, 51293, 50415, 57457, 51244, 53281, 51244, 52690, 50918, 51818, 55834, 51966, 52794, 50427, 53205, 51097, 54921, 51097, 71217, 51672, 52424, 51966, 52794, 50439, 54476, 51244, 53952, 51244, 52451, 51244, 51410, 50918, 51303, 50918, 51457, 56811, 51966, 52794, 50451, 53205, 51097, 54921, 51097, 71217, 51672, 50807, 62368, 52462, 59648, 51447, 54491, 51447, 55409, 51447, 56154, 51447, 51725, 51145, 50415, 55561, 51097, 54676, 51097, 53205, 51097, 52892, 51097, 51476, 50807, 51465, 50807, 71217, 51327, 52910, 51966, 52794, 50433, 52892, 51328, 51327, 67174, 51966, 52794, 57337, 51447, 54707, 51447, 54491, 51447, 55443, 51447, 51504, 51145, 50439, 55561, 51097, 54476, 51097, 53952, 51097, 53256, 51097, 52892, 51097, 51476, 79364, 70977, 72106, 51327, 52728, 51966, 52794, 50451, 55561, 51097, 54476, 51097, 53952, 51097, 53256, 51097, 52892, 51097, 51476, 79364, 70977, 72106, 74460, 62368, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 55561, 51097, 54676, 51097, 53205, 51097, 52892, 51097, 51476, 50807, 51465, 50807, 71217, 51327, 52910, 51966, 52794, 50427, 53205, 51097, 51231, 52424, 51966, 52794, 50439, 53256, 51097, 51249, 52728, 51966, 52794, 50451, 54921, 51097, 51672, 50807, 62368, 52462, 59648, 52829, 54491, 52829, 55409, 52829, 56154, 52829, 51725, 52121, 50415, 55561, 51097, 54676, 51097, 53205, 51477, 52892, 51477, 51476, 50807, 51465, 50807, 51231, 50983, 51327, 59492, 51966, 52794, 50433, 52892, 51328, 51327, 67174, 51966, 52794, 50439, 57457, 51097, 53205, 51097, 52892, 51097, 52690, 50807, 71217, 51327, 52728, 51966, 52794, 50451, 53205, 51097, 52892, 51097, 71217, 74460, 62368, 52462, 50415, 55561, 51097, 54676, 51097, 53205, 51097, 52892, 51097, 51476, 50807, 51465, 50807, 71217, 51327, 52910, 51966, 52794, 50427, 54921, 51097, 51672, 52424, 51966, 52794, 50439, 57457, 51097, 53205, 51097, 52892, 51097, 52690, 50807, 71217, 51327, 52728, 51966, 52794, 50451, 52451, 51097, 51457, 50807, 62368, 52462, 59648, 52829, 54491, 52829, 55409, 52829, 56154, 52829, 51725, 52121, 50415, 55561, 51097, 54676, 51097, 52892, 50974, 53281, 50974, 51476, 50807, 51465, 50807, 51327, 50795, 51818, 60751, 53281, 51328, 51818, 64002, 51966, 52794, 50427, 52892, 51244, 53281, 51244, 51327, 50918, 51818, 56039, 51966, 52794, 50439, 57457, 51097, 52690, 52728, 51966, 52794, 50451, 52892, 51097, 53281, 51097, 74460, 51818, 50807, 62368, 52462, 50415, 55561, 51097, 52892, 51939, 53281, 51939, 51476, 50807, 51327, 51161, 51818, 57944, 51966, 52794, 50427, 55654, 51097, 52571, 52424, 51966, 52794, 50439, 59410, 51097, 52326, 52728, 51966, 52794, 50451, 57457, 51097, 52451, 51097, 52592, 51097, 52690, 50807, 51457, 50807, 51825, 50807, 62368, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 55561, 51244, 53281, 51477, 52796, 51477, 51476, 50918, 51818, 50983, 51981, 59492, 51966, 52794, 50433, 52796, 51328, 51981, 67174, 51966, 52794, 50439, 57457, 51244, 53281, 51097, 52796, 51097, 52690, 50918, 51818, 50807, 51981, 52728, 51966, 52794, 50451, 53281, 51097, 52796, 51097, 51818, 50807, 51981, 50807, 62368, 52462, 59648, 51447, 54491, 51447, 55409, 51447, 56154, 51447, 51725, 51145, 50415, 55561, 51244, 53281, 51477, 52796, 51477, 51476, 50918, 51818, 50983, 51981, 59492, 51966, 52794, 50433, 53281, 51328, 51818, 67174, 51966, 52794, 58851, 51447, 54707, 51447, 54491, 51447, 58328, 51447, 51725, 51145, 50439, 54676, 51097, 53205, 51097, 52892, 51097, 51465, 50807, 71217, 51327, 52728, 51966, 52794, 50451, 56676, 51097, 57537, 51097, 53256, 51097, 51687, 50807, 51719, 50807, 72106, 62368, 52462, 56148, 52829, 55646, 52829, 54251, 52829, 56154, 52829, 51207, 52121, 50415, 54476, 51097, 53952, 51097, 54921, 54143, 51410, 70977, 51672, 52382, 50426, 51966, 52794, 50427, 55654, 51097, 52571, 52424, 51966, 52794, 50439, 54476, 51097, 51410, 52728, 51966, 52794, 50451, 55654, 51097, 52571, 50807, 62368, 52462, 50415, 57457, 50974, 52690, 51631, 51966, 52794, 50427, 54921, 51097, 51672, 52424, 51966, 52794, 50439, 53799, 51097, 51414, 52728, 51966, 52794, 62368, 52462, 58784, 51671, 54707, 51671, 54491, 51671, 55443, 51671, 51504, 51293, 50415, 57533, 51445, 55561, 51445, 53256, 51477, 52892, 51477, 53075, 51036, 51476, 51036, 51249, 50983, 51327, 59492, 51966, 52794, 50433, 52892, 51328, 51327, 67174, 51966, 52794, 50439, 54921, 51097, 51672, 52728, 51966, 52794, 50451, 52892, 51097, 52892, 51097, 74460, 74460, 62368, 52462, 58784, 51671, 56131, 51671, 56765, 51671, 56348, 51671, 58999, 51293, 50415, 60587, 51097, 53603, 51939, 54872, 50807, 51980, 57944, 51966, 52794, 50427, 55561, 51097, 55463, 51244, 52892, 51244, 51476, 50807, 51651, 50918, 51327, 56039, 51966, 52794, 50439, 56676, 51097, 51687, 52728, 51966, 52794, 50451, 57537, 54143, 51719, 52382, 62368, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 52892, 51477, 53281, 51477, 51327, 50983, 51818, 59492, 51966, 52794, 50433, 53281, 51328, 51818, 67174, 51966, 52794, 50439, 53603, 51097, 51980, 52728, 51966, 52794, 50451, 53281, 51097, 51818, 50807, 62368, 52462, 58784, 51671, 56131, 51671, 54707, 51671, 54251, 51671, 51444, 51293, 50415, 54476, 51097, 52892, 51939, 53815, 51939, 51410, 50807, 51327, 51161, 52948, 57944, 51966, 52794, 50427, 57537, 51097, 51719, 52424, 51966, 52794, 50439, 53256, 51244, 51249, 56811, 51966, 52794, 50451, 52892, 51097, 53815, 51097, 74460, 52948, 50807, 62368, 52462, 56148, 52829, 55646, 52829, 54251, 52829, 56154, 52829, 51207, 52121, 50415, 54921, 51097, 52592, 51097, 51672, 50807, 51825, 52910, 51966, 52794, 50427, 53205, 51097, 52796, 51097, 71217, 51981, 52424, 51966, 52794, 50439, 53205, 51097, 51231, 52728, 51966, 52794, 62368, 52462, 50415, 54921, 51097, 52592, 51097, 52796, 51097, 51672, 50807, 51825, 50807, 51981, 52910, 51966, 52794, 50427, 53205, 51097, 51231, 52424, 51966, 52794, 50439, 53205, 51097, 51231, 52728, 51966, 52794, 50451, 53815, 51097, 52948, 50807, 62368, 52462, 56148, 51447, 55646, 51447, 54251, 51447, 56154, 51447, 51207, 51145, 50415, 57457, 51244, 54476, 51244, 53952, 51244, 52892, 51244, 52796, 51097, 52690, 50918, 51410, 50918, 51303, 50918, 51327, 50918, 51981, 52910, 51966, 52794, 50427, 53815, 51097, 52948, 52424, 51966, 52794, 59648, 51447, 54677, 51447, 56699, 51447, 56154, 51447, 51207, 51145, 50439, 57457, 51244, 59088, 51244, 54676, 51244, 54676, 51244, 53799, 51244, 52796, 51097, 52690, 50918, 52102, 50918, 51465, 50918, 51465, 50918, 51414, 50918, 51981, 52728, 51966, 52794, 50451, 53815, 51097, 52948, 50807, 62368, 52462, 56148, 51447, 55646, 51447, 54251, 51447, 56154, 51447, 51207, 51145, 50415, 57457, 51097, 54476, 51097, 53952, 51097, 54921, 51097, 52796, 51097, 52690, 79364, 70977 ]
[ 0, 250, 19448, 3495, 2214, 19, 10, 15855, 2712, 6, 4246, 10, 5540, 13305, 816, 15352, 30054, 2301, 11, 5, 762, 9, 2060, 538, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 2060, 6, 230, 10431, 6, 230, 12361, 6, 8, 2060, 119, 6, 2351, 41, 3722, 8, 8728, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50437, 51360, 55811, 50444, 51176, 77137, 51040, 51297, 50453, 50871, 51126, 50458, 50965, 51319, 52591, 50965, 51319, 50425, 50871, 61660, 51040, 51126, 50433, 51176, 75594, 51360, 55814, 51360, 51252, 50455, 51176, 51524, 50459, 51040, 51126, 51809, 50871, 58387, 50965, 68364, 50965, 70301, 50871, 55108, 51040, 51524, 50443, 51176, 51550, 50449, 51360, 51697, 50456, 51040, 51524, 50459, 50871, 51074, 51601, 50965, 51387, 50417, 51360, 54071, 50418, 51028, 53487, 50423, 51176, 51862, 50429, 51040, 51319, 50433, 77919, 50439, 50965, 52179, 50448, 50965, 50908, 50452, 50871, 51319, 50457, 51040, 51269, 50461, 51176, 51126, 53069, 51360, 51737, 50428, 50902, 51115, 50429, 50989, 52256, 50877, 51466, 50439, 51176, 54521, 50446, 51028, 51627, 51001, 51562, 50447, 50877, 52482, 50456, 51176, 51123, 52478, 50931, 51642, 50419, 50965, 55789, 50876, 54848, 50431, 51176, 51550, 50435, 51040, 56123, 69332, 68886, 50442, 50965, 61887, 50444, 51360, 53313, 50445, 51028, 52727, 50451, 51176, 52167, 50455, 51040, 51319, 50460, 50871, 51319, 51809, 50965, 52134, 50425, 50965, 51319, 50431, 50871, 51126, 50436, 51040, 51022, 50440, 51176, 51319, 50445, 51360, 52167, 50458, 50902, 51637, 50989, 60243, 50877, 52618, 52591, 51176, 52731, 50428, 51001, 51310, 51028, 51965, 50429, 50877, 51709, 50437, 51176, 51142, 50445, 50931, 51400, 50876, 52518, 50965, 52482, 50454, 51176, 51128, 50457, 50871, 52134, 50460, 51028, 52212, 51601, 51360, 54861, 50416, 51147, 52168, 50422, 51176, 51210, 61104, 66251, 63006, 50435, 50965, 51079, 50446, 50965, 54590, 50321, 51351, 50876, 53674, 50455, 51176, 53674, 50459, 51114, 51337, 51601, 50989, 51376, 50418, 51147, 68649, 50906, 75583, 50871, 59741, 50965, 70813, 51360, 53024, 50431, 51147, 51314, 50436, 51176, 54848, 50438, 50965, 57070, 50440, 51040, 51862, 57428, 51524, 50451, 50965, 51000, 51601, 50906, 51330, 50416, 50965, 58898, 50871, 58898, 50425, 51176, 56458, 59409, 51884, 50440, 51028, 52511, 50307, 59977, 50310, 51737, 50452, 51040, 56869, 50454, 50871, 52025, 50458, 50965, 60667, 50293, 59821, 50461, 51028, 52727, 52478, 51176, 52179, 50424, 51040, 51126, 78312, 56693, 50965, 51319, 50441, 50965, 64734, 50871, 60801, 51040, 52946, 50454, 51176, 51319, 50461, 51360, 54521, 79254, 51146, 52256, 50430, 50999, 53674, 50989, 54228, 50902, 54228, 50441, 51176, 51128, 50448, 51001, 51253, 50449, 51405, 51911, 50329, 68295, 52034, 50457, 51176, 51123, 52478, 51339, 51242, 50931, 51309, 50965, 52518, 50419, 51062, 53010, 50429, 51176, 51297, 50434, 51040, 51466, 50437, 50871, 54344, 50440, 50965, 54836, 50441, 51360, 54861, 50443, 51028, 52335, 50448, 51176, 51524, 50452, 51040, 51128, 50457, 50871, 51862, 50461, 50965, 51387, 56020, 50965, 51000, 73343, 64463, 51040, 51123, 50436, 51176, 51470, 50441, 51360, 51079, 50454, 51146, 51351, 50902, 75763, 52256, 50999, 51134, 51809, 51176, 51524, 50425, 51001, 51741, 50331, 51241, 51399, 51419, 56207, 50932, 50434, 51176, 51174, 50441, 51062, 51480, 51339, 51191, 50442, 50965, 51253, 75248, 50452, 51176, 77219, 51147, 52015, 50458, 51220, 51145, 50460, 51430, 51627, 50461, 51315, 51645, 50799, 52128, 51189, 50419, 77469, 50424, 60471, 50428, 50965, 51337, 50433, 50973, 58346, 51220, 54146, 50441, 51001, 51110, 50973, 52518, 50442, 51430, 51204, 50968, 70842, 51086, 64853, 51787, 51116, 51114, 59496, 70806, 54852, 76965, 52128, 51828, 50324, 59993, 51147, 51535, 50424, 51220, 51637, 50425, 51430, 76906, 51315, 51797, 52128, 51241, 50431, 77469, 50436, 50916, 68167, 70644, 50445, 50973, 50978, 50455, 50973, 68470, 69513, 51399, 51183, 51028, 52056, 53069, 51086, 51128, 50425, 51405, 50827, 51001, 67393, 50877, 53186, 50310, 53024, 50432, 51430, 51079, 50433, 50968, 54071, 50445, 50951, 54573, 51430, 55490, 51062, 56599, 50968, 58306, 51085, 55584, 50452, 51026, 78473, 50900, 65540, 50916, 51123, 51809, 50861, 50971, 54439, 64408, 50916, 54034, 50900, 51365, 50439, 51026, 57522, 51085, 60754, 51085, 51824, 50457, 51026, 51000, 53975, 69595, 50916, 58116, 50861, 59383, 50968, 54532, 50435, 50965, 54521, 50916, 60150, 51503, 63684, 50316, 53674, 50441, 51176, 58554, 50900, 51297, 50451, 50916, 79207, 50965, 51128, 52478, 51028, 55275, 50422, 50931, 52503, 50424, 51147, 53678, 50425, 51360, 54861, 50428, 51399, 53588, 50433, 51176, 51123, 50437, 51040, 51128, 50442, 50871, 52946, 50446, 50965, 52167, 50456, 50965, 78584, 50871, 51319, 52177, 51040, 64195, 51176, 51128, 50427, 51360, 51297, 50441, 50902, 51637, 50442, 50989, 55574, 50447, 50965, 51365, 50452, 50877, 61096, 51176, 52782, 50456, 50906, 61824, 51001, 51218, 50973, 51142, 50461, 50877, 51797, 52177, 64304, 50421, 72814, 51176, 51210, 50425, 50876, 58519, 50931, 50981, 50430, 50973, 73793, 51862, 50434, 67695, 50439, 51176, 54191, 50313, 68937, 50965, 58394, 51028, 52071, 50450, 51360, 55197, 50931, 51313, 50452, 51147, 51671, 50456, 51399, 52071, 50459, 51176, 51862, 51809, 51040, 51000, 55961, 76785, 50965, 51387, 50435, 50965, 50928, 50440, 50871, 51128, 50445, 51040, 74810, 51176, 54088, 50454, 51360, 54298, 52478, 50902, 51283, 50419, 50989, 54228, 50424, 50965, 51123, 50428, 50877, 59272, 51176, 54071, 63931, 61284, 51001, 51218, 79507, 50437, 50877, 51642, 50441, 50876, 54394, 59950, 50445, 51176, 53697, 50448, 50876, 76690, 50931, 51221, 50965, 53536, 50315, 69096, 50906, 61982, 50877, 51604, 50300, 50941, 51809, 50965, 62016, 50871, 50974, 50421, 50973, 51310, 50422, 51360, 51884, 50425, 51001, 51318, 50429, 51147, 51790, 50430, 51176, 54298, 50436, 51040, 68977, 66398, 50446, 50965, 56711, 50906, 58090, 50458, 50931, 51241, 51028, 51965, 51809, 67558, 50421, 51040, 51142, 50424, 51114, 51121, 50425, 50997, 59399, 51147, 50808, 51378, 68630, 50877, 50995, 50435, 51028, 51477, 50437, 50931, 51134, 51050, 51411, 50439, 50999, 51336, 69375, 50978, 50448, 51040, 51058, 50452, 50871, 51255, 50457, 50877, 50917, 52478, 50965, 73318, 51081, 70606, 51312, 50421, 51147, 51391, 50968, 51466, 50425, 50916, 51328, 50431, 51040, 50974, 50436, 51220, 50948, 50437, 51176, 54656, 51062, 51192, 50442, 51315, 51212, 50448, 51028, 51148, 50449, 51001, 51413, 50452, 50951, 51446, 50453, 52046, 51238, 50456, 51399, 51661, 55881, 58158, 50997, 51178, 61104, 50873, 79471, 50897, 50431, 51062, 51661, 50435, 64871, 50439, 51081, 51226, 50440, 51028, 50937, 50448, 51147, 51112, 50457, 50951, 50865, 52478, 50968, 51675, 51234, 52996, 50423, 51050, 51852, 50429, 51176, 51470, 50430, 51001, 51267, 50435, 50997, 74578, 51028, 51194, 51040, 51006, 57428, 70853, 50931, 51141, 50876, 51233, 50448, 50965, 51142, 50455, 50906, 51095, 51601, 50965, 78768, 52046, 51242, 50424, 61084, 50431, 51399, 51091, 50437, 51197, 57740, 50997, 51645, 51062, 70269, 51040, 51058, 50454, 51081, 51077, 50956, 61997, 50861, 50978, 51809, 51028, 51267, 50425, 51147, 51377, 50434, 50951, 50938, 50442, 50968, 51127, 50443, 51234, 54521, 50447, 51050, 51753, 50451, 51001, 51255, 50452, 51176, 65628, 50997, 54846, 51028, 51178, 50460, 51040, 50892, 51601, 65080, 50419, 76587, 50931, 51091, 50421, 50965, 67322, 50906, 53505, 50965, 54134, 50989, 68711, 51360, 60201, 51430, 51103, 50459, 51378, 51470, 52177, 50997, 70852, 51040, 71874, 51405, 51351 ]
[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 23, 10, 182, 1769, 20889, 11, 5, 762, 9, 274, 538, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 26545, 6, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 50968, 51346, 51027, 51991, 50871, 51991, 50876, 51991, 50424, 50931, 51346, 50434, 50999, 51346, 50444, 51062, 51346, 50455, 50968, 51346, 51430, 51346, 51176, 51991, 50871, 51991, 50973, 51991, 52177, 51146, 51346, 50427, 50931, 51346, 51339, 51346, 50438, 51146, 51346, 50448, 51081, 51346, 51026, 51991, 50916, 51991, 50906, 51991, 50458, 50902, 51346, 52591, 51001, 51346, 50430, 50968, 51346, 50441, 50876, 51346, 50999, 51346, 51085, 51991, 51026, 51991, 50916, 51991, 50451, 50973, 51346, 51147, 51346, 50461, 50906, 51346, 50951, 51346, 60212, 50877, 51623, 50931, 51623, 50434, 50871, 51346, 69375, 51346, 50454, 50997, 51346, 51809, 51086, 51346, 51081, 51346, 51146, 51346, 77095, 51346, 50999, 51346, 51062, 51346, 50437, 51085, 51346, 50876, 51346, 50447, 51026, 51346, 50951, 51346, 51081, 51346, 50457, 51378, 51346, 50931, 51991, 50999, 51991, 52591, 51050, 51346, 50430, 51120, 51346, 50440, 51360, 51446, 50450, 50968, 51446, 51147, 51446, 50460, 51085, 51623, 57731, 51062, 51141, 50442, 52206, 51538, 50461, 51430, 51141, 52128, 51141, 66243, 51339, 50805, 51814, 50805, 51247, 53912, 50999, 65756, 51062, 62530, 59428, 59460, 50889, 50451, 51405, 50805, 51787, 69495, 51430, 50805, 51487, 50805, 51279, 50889, 51601, 50951, 50889, 50421, 51040, 68368, 57631, 50889, 50427, 51399, 50805, 51430, 66900, 51146, 50805, 51339, 50805, 51120, 50889, 50440, 50931, 50889, 64118, 59428, 59460, 50889, 50452, 50999, 68968, 50805, 51339, 71295, 51085, 50889, 56020, 50956, 59428, 59460, 63455, 50999, 50805, 51399, 57807, 51081, 74563, 50805, 51234, 67480, 50902, 59414, 50931, 57260, 59428, 58419, 63433, 51081, 74563, 58565, 50999, 68968, 50805, 51279, 50889, 52478, 50876, 50805, 50424, 51114, 62530, 68036, 59460, 50889, 50430, 50999, 68968, 50805, 50436, 50951, 67689, 50805, 51214, 50889, 50442, 50906, 50889, 50448, 50997, 62525, 57631, 50889, 50454, 51028, 59879, 50805, 51147, 50805, 51399, 50805, 50460, 51503, 50889, 59412, 51086, 78382, 59428, 50889, 50437, 51279, 55480, 51147, 50805, 51220, 52596, 50999, 68968, 62530, 62930, 59428, 55069, 50876, 50805, 62856, 50805, 51220, 50805, 51966, 55385, 50999, 51608, 50328, 50889, 53523, 62930, 59460, 55112, 51147, 50805, 51220, 52446, 50999, 68968, 50805, 51214, 50889, 50445, 50876, 72065, 51147, 50805, 51220, 62530, 68368, 58419, 50889, 50457, 50999, 51608, 50328, 50889, 51601, 51085, 50889, 50421, 50876, 50889, 77095, 50889, 50430, 50876, 59979, 50902, 63116, 72370, 50440, 51050, 59428, 62931, 51538, 72785, 51141, 50931, 51141, 50452, 51315, 68368, 50889, 51809, 51120, 62525, 63455, 51085, 70156, 71700, 50871, 59460, 61471, 67480, 51324, 51077, 51086, 51077, 50447, 50871, 51141, 76233, 79728, 52478, 51085, 51077, 50997, 51077, 50916, 74114, 51077, 50876, 51077, 50442, 51339, 50805, 51814, 50805, 51247, 50889, 50448, 50999, 50805, 50454, 51062, 62530, 59428, 59460, 50889, 50460, 51405, 50805, 51787, 50805, 53069, 51430, 50805, 51487, 50805, 51279, 50889, 50425, 50951, 50889, 50431, 51040, 68368, 57631, 50889, 50437, 51399, 50805, 51430, 50805, 50443, 51146, 50805, 51339, 50805, 51120, 55082, 50931, 55069, 50899, 59428, 59460, 50889, 58479, 68968, 50805, 51339, 52864, 51085, 55112, 50956, 59428, 59460, 53912, 50999, 50805, 51399, 52815, 51081, 74563, 50805, 51234, 50889, 50451, 50902, 69495, 50931, 57260, 59428, 58419, 50889, 51601, 51081, 74563, 72626, 50999, 68968, 50805, 51279, 50889, 76946, 66900, 51114, 62530, 68036, 59460, 50889, 50440, 50999, 68968, 65052, 50951, 67689, 50805, 51214, 50889, 50452, 50906, 50889, 50458, 50997, 62525, 57631, 50889, 51809, 51028, 59879, 50805, 51147, 50805, 51399, 67379, 51503, 71700, 51086, 78382, 59428, 50889, 50447, 51279, 63433, 51147, 50805, 51220, 58565, 50999, 68968, 62530, 62930, 59428, 50889, 52478, 50876, 50805, 50424, 51147, 50805, 51220, 50805, 51966, 50889, 50430, 50999, 51608, 50328, 50889, 50436, 50900, 62930, 59460, 50889, 50442, 51147, 50805, 51220, 50805, 50448, 50999, 68968, 50805, 51214, 50889, 50454, 50876, 50805, 50460, 51147, 50805, 51220, 62530, 68368, 58419, 50889, 53069, 50999, 51608, 50328, 50889, 50425, 51085, 50889, 50431, 50876, 50889, 50437, 50900, 50889, 50440, 61496, 50443, 50902, 64201, 50968, 63771, 51050, 59428, 62931, 51538, 50456, 50871, 59879, 50805, 57551, 68368, 55385, 50871, 59879, 52483, 51197, 62930, 55112, 50871, 59879, 52446, 51120, 62525, 55480, 50871, 59879, 52596, 51085, 70156, 50889, 50457, 50871, 59879, 50805, 51601, 51234, 73090, 50889, 50421, 50871, 51141, 50931, 51141, 50427, 51279, 51077, 51027, 51077, 50446, 50931, 50805, 50452, 50931, 50805, 51339, 50805, 51234, 51608, 50297, 62525, 50889, 50458, 51081, 51608, 50330, 51608, 50333, 51608, 50336, 50889, 51809, 50997, 62525, 59428, 50889, 50422, 51339, 76575, 51247, 78599, 51608, 50328, 51608, 50331, 51608, 50335, 67480, 51050, 70156, 62930, 50889, 50447, 51146, 61157, 50931, 67689, 74563, 50805, 51339, 50805, 51234, 51608, 50297, 62525, 50889, 50459, 51146, 50805, 52177, 51081, 74563, 50805, 51339, 50805, 52128, 74492, 62525, 59428, 50889, 50424, 51081, 51608, 50326, 51608, 50329, 51608, 50335, 50889, 50430, 51234, 51608, 50297, 78382, 50889, 50436, 50951, 51608, 50326, 51608, 50329, 51608, 50333, 50889, 50442, 50997, 62525, 59428, 50889, 50448, 50951, 78599, 51608, 50328, 51608, 50333, 50889, 50454, 51247, 51608, 50292, 51608, 50301, 50889, 50460, 50951, 78599, 51608, 50328, 51608, 50333, 50889, 52478, 51027, 70156, 59428, 50889, 50425, 50999, 68968, 50805, 51339, 50805, 52128, 50805, 50431, 51085, 65934, 78599, 51608, 50328, 51608, 50333, 51608, 50335, 50889, 50443, 50900, 62931, 78599, 51608, 50328, 51608, 50333, 55069, 50999, 68968, 50805, 51339, 50805, 52128, 50805, 51247, 51608, 50292, 51608, 50301, 50889, 68818, 52864, 50951, 50805, 51487, 50805, 51214, 51608, 50295, 73090, 54243, 51001, 78599, 51608, 50328, 51608, 50333, 55112, 51279, 51608, 50297, 70156, 53912, 50931, 78599, 51608, 50328, 51608, 50331, 51608, 50333, 55480, 51247, 55082, 50931, 51608, 50326, 51608, 50330, 51608, 50333, 50889, 50457, 51234, 51608, 50297, 62525, 50889, 51601, 50951, 51608, 50326, 51608, 50330, 51608, 50333, 50889, 50421, 50997, 62525, 59428, 50889, 50427, 51147, 50805, 52128, 67502, 51085, 51608, 50301, 62930, 65934, 78599, 51608, 50328, 51608, 50331, 51608, 50335, 50889, 50446, 51050, 70156, 62930, 65934, 78599, 51608, 50328, 51608, 50331, 51608, 50333, 50889, 50458, 51147, 74563, 50805, 51339, 50805, 52128, 50805, 51799, 73090, 59428, 50889, 51809, 51114, 78599, 51608, 50328, 51608, 50333, 50889, 50422, 52206, 51608, 50300, 62930, 50889, 50428, 50931, 51608, 50327, 51608, 50330, 51608, 50335, 71700, 54637, 76195, 62525, 67480, 50931, 65934, 51608, 50327, 51608, 50332, 50889, 50447, 55774, 63433, 50968, 51204, 50951, 51204, 51081, 51204, 51062, 51204, 50459, 51085, 51077, 50997, 51077, 50916, 51077, 52591, 51062, 62779, 51146, 51116, 50433, 51430, 63116, 71216, 51120, 51077, 50997, 75427, 51077, 50440, 51430, 62236, 51146, 66372, 51062, 51116, 50458, 51430, 64333, 71216, 51315, 51141, 50900, 51141, 74367, 52177, 51430, 64997, 51146, 63790, 51062, 50805, 50431, 52206, 51608, 50326, 51608, 50332, 51608, 50335, 51608, 50340, 55480, 51081, 51608, 50332, 51608, 50336 ]
[ 0, 250, 20902, 3495, 2214, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 34879, 6, 4246, 10, 11739, 9, 25044, 139, 10170, 1499, 6, 3459, 9590, 6, 21040, 2426, 6, 6755, 12547, 6, 8, 10170, 1499, 6, 278, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 1769, 20889, 9, 16157, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 51768, 56262, 50903, 51031, 51955, 55891, 52758, 50806, 52979, 50849, 50799, 53429, 50911, 55883, 52864, 52969, 50893, 53424, 50805, 50425, 51019, 54107, 56647, 50893, 51089, 50993, 53539, 50805, 51434, 51300, 51808, 51009, 52043, 51795, 51479, 53551, 52265, 53429, 80128, 50823, 55883, 61061, 52600, 52969, 50893, 51208, 50860, 53424, 50805, 51895, 51502, 52267, 64048, 54825, 50936, 51089, 50803, 52635, 59343, 52087, 52725, 58300, 53195, 50806, 51023, 50860, 54642, 50938, 51440, 54430, 52361, 51870, 51479, 63974, 52087, 53173, 52758, 50948, 51385, 50803, 53210, 50917, 56790, 50883, 53534, 51072, 55625, 50893, 51403, 50952, 52979, 50938, 57602, 52532, 53576, 55493, 50893, 51023, 50817, 53326, 50805, 52112, 50425, 50927, 54107, 54182, 50893, 51083, 50823, 54535, 50849, 51669, 51184, 53335, 51795, 59284, 54701, 52265, 54890, 50806, 51268, 50897, 54469, 55163, 52600, 63293, 50948, 51023, 50836, 54174, 50917, 55389, 53594, 55952, 54890, 50893, 72154, 54469, 54792, 52087, 52725, 51213, 51072, 54182, 50923, 51185, 50882, 54535, 50849, 51479, 63974, 52087, 53173, 63293, 50948, 51023, 50823, 52979, 50938, 56790, 50883, 53534, 51066, 52758, 50893, 51268, 50882, 55883, 55955, 51695, 52532, 53576, 63293, 50893, 51083, 50884, 52979, 50805, 63032, 51069, 50824, 55625, 50893, 51089, 50811, 53424, 50805, 52043, 52500, 52361, 52379, 51479, 53551, 52265, 55625, 62194, 50803, 53424, 55064, 53908, 55493, 50880, 52635, 53574, 54182, 50893, 51385, 51033, 54642, 50849, 55389, 53594, 51069, 50817, 55493, 50806, 51089, 51142, 52635, 54792, 52087, 54028, 51434, 51300, 50450, 51228, 50975, 55625, 51021, 51208, 51033, 53424, 50938, 51479, 63974, 52087, 53173, 63293, 50806, 51023, 50823, 52979, 50849, 56790, 50883, 53400, 51066, 53195, 80041, 50859, 53539, 54754, 51695, 52532, 53576, 63293, 50893, 51385, 50908, 52979, 50873, 73515, 51440, 51469, 51669, 51184, 53335, 51795, 50426, 62644, 52758, 51030, 51083, 50993, 55883, 50938, 51479, 53551, 52265, 53429, 50821, 51268, 50849, 55883, 52672, 53908, 52969, 50858, 53424, 52841, 54825, 50911, 51023, 50812, 52635, 50849, 55389, 53594, 51011, 50817, 52969, 51021, 51083, 50812, 53424, 58162, 52087, 52725, 78233, 53429, 50860, 51185, 50823, 55883, 50938, 51479, 63974, 52087, 53173, 52758, 50936, 65541, 52979, 50917, 56790, 50883, 55194, 50860, 53429, 50911, 51268, 50952, 55883, 52862, 51695, 52532, 53576, 62890, 52969, 50893, 51083, 50828, 53424, 50805, 63032, 51019, 51059, 56647, 50893, 51089, 50802, 53539, 50805, 51808, 52512, 52043, 54055, 51434, 52097, 51479, 53551, 52265, 53429, 50936, 51020, 50823, 55883, 61061, 52600, 52969, 50893, 51208, 50860, 53424, 50805, 55389, 53594, 62664, 54825, 50806, 51089, 50811, 52635, 54792, 52087, 52725, 51069, 50993, 53195, 50936, 65541, 54642, 50938, 51440, 51696, 52361, 52097, 51479, 63974, 52087, 53173, 52758, 50893, 51385, 50802, 53210, 50849, 56790, 50883, 53400, 50975, 55625, 50893, 51023, 50823, 52979, 50938, 57602, 52532, 53576, 55493, 50893, 51089, 50884, 53326, 50917, 63032, 62644, 54182, 50893, 51083, 51066, 54535, 50849, 51669, 51009, 53335, 52379, 51479, 53551, 52265, 54890, 50806, 51268, 51142, 54469, 55163, 52600, 63293, 50893, 51023, 50823, 54174, 50849, 51895, 51502, 52267, 51069, 50817, 54890, 50893, 51083, 50803, 54469, 58162, 52087, 52725, 73182, 54182, 50923, 51092, 50811, 54535, 50805, 51440, 51300, 51607, 51300, 51479, 63974, 52087, 53173, 60418, 53032, 50802, 51023, 50882, 53424, 50805, 56790, 50883, 54798, 50860, 55493, 50802, 51268, 51033, 52635, 52862, 51695, 52532, 53576, 70593, 54182, 70744, 50961, 52860, 50849, 63032, 51443, 51029, 54890, 51030, 51020, 50860, 53210, 50805, 51434, 51300, 51808, 51009, 51669, 51029, 51479, 53551, 52265, 55493, 50923, 51208, 50803, 52635, 55163, 52600, 53195, 50911, 51185, 50803, 53539, 50938, 55389, 53594, 68634, 54825, 51021, 51020, 50817, 54343, 58162, 52087, 56038, 51069, 51072, 52758, 50803, 51023, 52175, 55883, 50805, 51440, 52512, 52361, 51300, 52043, 59110, 51156, 64329, 52087, 53173, 53195, 50894, 51385, 50803, 53539, 51582, 52502, 56046, 52758, 50821, 55883, 50808, 54798, 50976, 55625, 50893, 51403, 50803, 53424, 54754, 51695, 52532, 53576, 72823, 54825, 50802, 51023, 50887, 54343, 50849, 73515, 51023, 57252, 63166, 54182, 50949, 51268, 51126, 51023, 51126, 51185, 51123, 52635, 50808, 51669, 50975, 53335, 50976, 51440, 51505, 58234, 56262, 70593, 51023, 50835, 51385, 50886, 51089, 50908, 52979, 50813, 54642, 50808, 53424, 50910, 51440, 50802, 52361, 50802, 52043, 50860, 51479, 51031, 50449, 76439, 51023, 50930, 51185, 54721, 63166, 52979, 50828, 52635, 50808, 55883, 50808, 51440, 50976, 51669, 50976, 53335, 50975, 57602, 50846, 59412, 51491, 52071, 51113, 51991, 51107, 51264, 50426, 62644, 51479, 53551, 58976, 51873, 57018, 52979, 56895, 56305, 51666, 50878, 52939, 51177, 52368, 54137, 52635, 50901, 55389, 65672, 51873, 79522, 64386, 53424, 63305, 52087, 56038, 51666, 53140, 51213, 50975, 55883, 53097, 50898, 63974, 52087, 59163, 51873, 50933, 51453, 52502, 59363, 51666, 50977, 52939, 51177, 52368, 50892, 53534, 50976, 57602, 52532, 63244, 51873, 50933, 51039, 62239, 51088, 51264, 51357, 51353, 51301, 51717, 50426, 51019, 51072, 51479, 53551, 58976, 52330, 52946, 50432, 53424, 53270, 53908, 53424, 50820, 53424, 58855, 51666, 50822, 51871, 50865, 54399, 68535, 53424, 50828, 53424, 50836, 51895, 51502, 58772, 52330, 53743, 51019, 52409, 52087, 52725, 79288, 51479, 63974, 52087, 59163, 52330, 51051, 51453, 52502, 59363, 54399, 51100, 51908, 50942, 51871, 50879, 58124, 51072, 53424, 50846, 53424, 53790, 51695, 52532, 63244, 52330, 55085, 52635, 50839, 52635, 50862, 52112, 50422, 51488, 51445, 54642, 54069, 53210, 50846, 53210, 50833, 54642, 66659, 51113, 55428, 50426, 51011, 51072, 52979, 50841, 52979, 53097, 50898, 53551, 58976, 51873, 59780, 50852, 56305, 51908, 50987, 52368, 51100, 57813, 73320, 55389, 65672, 51873, 64208, 51011, 52791, 52087, 52725, 52022, 50993, 51479, 63974, 52087, 59163, 51873, 50878, 51453, 52502, 59363, 51908, 50977, 52368, 51100, 57813, 50901, 68742, 50975, 57602, 52532, 63244, 51873, 50878, 51039, 60170, 51107, 51293, 50425, 51491, 52222, 50426, 62644, 61461, 50873, 53904, 50833, 55645, 51100, 51479, 53551, 58976, 51873, 53387, 54174, 50846, 54535, 50828, 52979, 54726, 56305, 51666, 50978, 52939, 51212, 52368, 51101, 51570, 67310, 58772, 51873, 54434, 50927, 52791, 52087, 56038, 51666, 71841, 51415, 51066, 61461, 50937, 53904, 50812, 55645, 51100, 51479, 63974, 52087, 55079, 54174, 74022, 51873, 59631, 52979, 50836, 54174, 50836, 54535, 51187, 52502, 59363, 52939, 51101, 51666, 50878, 52368, 50977, 53534, 50993, 57602, 52532, 63244, 51873, 77639, 62239, 51113, 52062, 51107, 53678, 51600, 51894, 50426, 50927, 51072, 51479, 53551, 58976, 51873, 72883, 52979, 55603, 56305, 51666, 50878, 52939, 51100, 52368, 53264, 54535, 67893, 50898, 65672, 51873, 63280, 60264, 52979, 53825, 52087, 52725, 51213, 50975, 54174, 51077, 51479, 63974, 52087, 59163, 51873, 50810, 51453, 52502, 59363, 51666, 50878, 52939, 51101, 52368, 51101, 53534, 50993, 57602, 52532, 63244, 51873, 79827, 60170, 51357, 51151, 51266, 52250, 50425, 51088, 51714, 50426, 71435, 51479, 53551, 58976, 52330, 60675, 53210, 52672 ]
[ 0, 250, 19448, 3495, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 1515, 21305, 6, 17691, 28430, 6, 8, 6168, 3540, 6, 2351, 10, 5679, 26709, 8, 3722, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 9, 15966, 13410, 228, 2289, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 272, 6, 230, 73, 717, 6, 8, 274, 3639, 10, 2842, 9, 8780, 1825, 7, 42, 21844, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 76501, 51836, 58722, 59781, 53339, 66228, 51884, 50799, 51836, 53487, 51214, 51445, 50900, 51965, 50876, 51592, 56947, 52916, 56014, 52212, 59419, 52598, 58365, 72499, 50876, 51353, 50456, 57846, 54795, 51313, 50900, 52519, 50871, 51449, 50877, 51671, 56947, 52528, 56014, 55586, 55898, 52407, 50444, 51946, 58127, 73324, 51836, 58000, 52961, 53339, 66228, 50910, 50799, 51836, 52919, 51214, 51748, 51026, 54590, 50308, 51244, 50861, 51803, 50876, 51939, 56947, 52431, 56014, 52980, 59419, 51080, 58365, 72044, 50876, 50932, 54795, 51748, 51026, 53164, 50304, 53577, 50871, 52727, 50877, 51748, 50876, 52916, 56947, 53866, 56014, 53486, 55898, 79882, 51946, 58127, 79961, 51836, 57586, 51923, 53339, 65872, 50917, 50799, 51836, 51267, 51214, 51671, 51026, 54590, 50308, 51677, 50861, 60559, 55382, 51946, 50959, 51026, 52916, 50861, 54259, 51946, 58657, 50914, 55203, 51490, 50444, 51836, 51218, 50876, 51141, 59758, 51709, 50799, 53151, 51267, 51214, 51748, 51026, 52519, 50871, 51965, 50877, 51477, 50876, 52015, 50931, 60324, 54012, 51277, 50968, 56427, 52601, 51734, 50299, 52980, 50871, 52783, 50877, 52783, 50902, 51097, 55203, 51703, 50444, 51836, 51318, 50876, 51218, 56279, 51380, 50799, 51946, 51293, 51214, 51449, 51026, 53164, 50304, 52136, 50899, 51447, 50916, 52431, 50861, 53588, 56947, 55776, 56014, 53486, 55898, 51244, 59758, 62214, 50861, 50974, 54795, 51748, 51026, 77508, 51965, 50871, 51748, 50877, 52980, 53389, 51449, 51743, 51449, 56947, 52528, 56014, 52783, 55898, 76619, 51946, 58399, 54230, 51836, 58000, 51923, 53339, 61622, 50865, 50799, 51836, 52644, 51214, 51671, 51026, 54590, 50308, 51318, 50861, 51318, 50876, 51310, 53817, 51445, 52033, 51445, 56947, 52916, 64185, 59783, 51115, 50876, 51148, 55203, 52147, 65827, 53280, 56222, 51738, 75152, 51470, 54795, 51748, 51026, 55036, 50304, 53280, 50871, 51922, 50877, 53486, 53389, 51449, 51743, 51449, 56947, 52916, 56014, 53486, 55898, 79882, 51946, 55332, 54230, 51836, 58000, 52961, 53339, 61622, 50938, 50799, 51836, 53487, 51214, 51671, 51026, 53126, 50308, 51283, 50861, 51310, 50876, 51477, 53817, 52988, 52033, 51748, 51615, 52720, 56947, 52916, 64185, 58339, 51218, 68275, 55203, 54557, 65827, 52441, 56222, 52378, 75152, 52916, 54795, 51922, 51026, 53164, 50304, 53280, 50871, 52727, 50877, 55586, 53389, 51748, 51743, 51748, 56947, 52528, 56014, 52168, 55898, 70190, 51946, 58399, 53794, 51836, 58681, 51923, 53339, 61418, 50805, 50799, 51836, 51109, 51315, 50851, 51026, 52519, 50916, 51310, 50861, 59937, 51318, 52133, 51671, 51711, 53201, 50426, 51946, 70978, 54259, 51946, 51807, 50296, 51452, 50900, 58657, 59258, 51452, 50444, 51836, 51189, 50900, 61087, 51141, 59758, 51109, 72407, 51006, 50799, 53151, 51807, 50289, 51151, 71578, 50876, 51803, 50931, 50915, 53389, 51671, 51743, 51801, 50426, 54012, 63663, 52916, 50968, 54777, 52601, 65117, 51965, 50902, 53912, 77920, 50444, 51836, 51115, 50876, 50983, 55895, 51806, 50799, 52601, 53454, 51234, 51243, 50900, 51447, 50899, 51680, 50871, 51592, 50906, 52062, 50902, 51243, 53181, 51801, 51838, 51801, 60643, 52528, 71288, 51452, 55203, 51145, 51711, 51244, 55989, 51295, 56415, 55069, 50906, 50849, 54662, 51790, 50997, 51314, 50899, 59428, 51218, 50906, 51218, 50902, 51218, 51863, 51080, 53337, 54342, 50899, 51141, 50871, 74726, 51896, 50902, 51358, 62335, 50995, 51656, 79098, 51234, 54230, 51279, 51159, 51027, 51312, 50899, 51267, 67104, 73750, 54795, 51991, 51026, 62649, 51127, 50861, 51310, 50973, 51310, 50902, 51274, 53541, 51677, 51615, 51592, 56947, 52980, 58319, 51141, 50973, 51077, 50902, 51196, 55898, 51079, 55989, 50995, 56222, 50892, 52133, 50995, 51656, 58843, 50899, 63925, 51218, 68275, 54795, 51627, 51026, 52263, 51881, 51151, 52187, 51445, 54569, 51097, 54439, 54342, 50899, 51675, 50861, 51675, 50973, 51591, 50902, 56389, 51026, 70190, 50968, 52610, 70893, 57551, 51293, 50861, 51477, 50876, 51318, 50902, 51310, 50951, 50983, 52133, 51243, 51615, 52204, 51711, 52720, 53502, 53280, 56248, 53577, 58319, 51295, 50876, 51675, 50902, 51591, 50951, 51685, 55203, 52212, 65827, 52519, 56222, 55765, 55547, 51671, 51027, 55036, 50304, 52519, 50871, 51447, 50861, 52168, 50876, 51452, 53389, 52829, 51743, 51671, 57025, 52916, 56014, 56329, 57019, 51447, 58365, 53794, 50877, 52961, 50876, 50938, 54868, 51313, 50871, 51127, 50877, 51675, 50931, 51585, 51743, 51445, 52036, 51449, 57025, 53486, 58296, 52980, 57019, 60510, 50877, 51218, 56415, 51056, 70893, 50456, 51027, 51376, 57551, 52222, 50916, 51244, 50877, 51318, 50973, 51477, 50968, 50983, 53541, 51148, 51656, 51939, 52187, 51671, 52225, 51592, 62795, 52136, 63174, 51358, 50973, 51358, 50968, 51218, 59419, 52011, 52033, 52122, 50444, 51086, 51965, 59758, 67680, 61471, 50889, 52255, 56109, 51315, 50845, 55547, 51445, 50900, 53280, 50916, 51314, 50877, 51703, 68275, 53389, 52826, 51656, 52204, 51711, 53849, 57025, 53577, 56014, 51079, 55203, 65377, 51318, 50877, 51244, 50876, 51148, 69375, 51742, 55895, 58667, 50916, 52168, 55547, 51183, 74720, 78872, 50876, 51310, 57025, 51097, 59409, 72600, 51214, 51127, 51026, 51047, 50900, 51080, 50916, 51387, 53817, 51047, 52187, 51397, 65827, 72044, 51836, 57586, 52931, 53339, 62879, 50936, 50799, 51836, 52919, 51247, 52337, 51050, 52454, 50304, 51145, 50871, 51295, 50877, 51295, 73891, 54720, 52204, 52133, 52204, 51743, 52204, 51656, 52204, 60643, 53866, 58783, 51318, 72734, 50876, 51148, 55203, 51166, 55513, 54980, 50871, 53581, 50900, 51310, 71698, 50877, 51244, 50876, 51148, 54197, 51671, 53523, 51432, 56014, 51803, 50871, 52168, 50877, 63348, 59791, 51946, 58399, 54230, 51836, 58007, 53702, 53339, 66228, 50917, 50799, 51836, 53651, 51315, 51449, 50900, 54590, 50311, 51965, 50876, 51477, 56617, 52204, 51615, 51801, 51711, 51801, 53523, 51490, 58319, 51183, 50876, 51148, 59419, 51922, 55895, 69513, 50900, 51965, 50861, 66743, 51447, 57551, 52335, 53523, 51703, 58319, 59391, 54975, 50916, 52212, 50444, 51946, 58127, 54230, 51836, 51253, 50900, 58327, 53312, 51315, 50972, 50799, 53151, 51318, 51120, 52071, 50871, 51703, 50877, 51244, 50876, 51314, 50931, 51103, 55430, 51445, 51743, 52337, 57025, 52528, 50438, 53151, 61567, 51703, 77920, 50877, 51314, 50876, 51148, 50931, 56391, 54012, 66386, 55125, 52601, 51380, 50902, 74323, 51120, 51174, 50799, 51836, 51677, 51214, 51671, 51026, 51922, 50900, 79675, 51314, 50877, 51314, 50876, 51314, 53817, 56235, 52133, 51449, 51656, 51449, 53523, 52025, 55203, 68026, 51244, 78872, 50876, 77307, 54012, 50915, 50799, 52601, 53651, 51214, 51445, 51026, 51490, 50899, 71562, 51637, 50876, 51965, 50902, 51965, 51615, 51671, 51711, 51671, 53337, 57123, 50899, 58339, 51115, 68275, 50902, 51452, 62322, 51314, 55989, 51310, 56222, 50914, 51881, 58667, 50876, 50845, 54795, 52335, 51026, 54171, 50899, 51318, 50861, 51318, 50973, 51295, 51615, 51449, 52187, 51449, 51838, 51449, 58296, 51047, 50861, 67430, 58141, 50861, 70452, 50901, 54650, 52985, 50876, 71116, 50901, 52795, 56711, 50973, 51514, 50327, 50901, 54577, 50974, 54795, 51293, 50900, 51477, 50876, 51939, 51062, 51445, 52795, 51313, 56947, 52916, 56014, 52212, 59419, 52598, 58365, 72499, 50876, 51353, 50456, 57846, 54795, 51313, 50900, 52519, 50871, 51449 ]
[ 0, 250, 20902, 8, 14899, 3152, 8, 3495, 2214, 14, 22750, 1626, 11098, 8, 1313, 1007, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 81, 9756, 29589, 6, 3459, 13305, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 23338, 33518, 1264, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2214, 5705, 13774, 10, 33215, 16739, 9, 272, 6, 211, 6, 8, 230, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 68742, 51388, 63623, 70551, 52630, 51817, 50923, 63623, 52964, 52265, 52657, 51173, 56887, 66442, 51817, 51021, 63623, 60919, 52657, 50924, 56887, 53538, 52193, 51817, 50940, 63623, 50940, 53534, 50893, 68261, 55341, 51817, 50911, 63623, 54065, 52265, 52657, 51286, 56887, 78045, 51817, 50923, 63623, 50923, 51571, 50811, 52124, 61085, 53851, 51571, 50930, 52124, 55060, 53166, 52657, 50911, 56887, 50911, 51571, 50811, 52124, 54751, 55843, 51817, 51030, 63623, 51030, 51571, 50817, 52124, 55255, 53736, 51571, 50811, 52124, 52279, 50817, 53534, 51345, 68261, 51345, 51571, 51184, 52124, 51184, 63680, 54533, 51039, 56183, 53578, 50798, 51663, 52630, 51817, 50948, 63623, 50948, 52777, 65463, 52657, 50893, 56887, 50893, 51320, 56183, 50817, 51570, 52267, 51817, 50879, 63623, 50879, 51320, 56183, 52568, 52657, 50893, 56887, 50893, 52777, 68037, 51817, 50911, 63623, 50911, 51320, 56183, 53736, 50856, 50817, 53534, 51235, 68261, 51235, 65375, 52302, 51571, 50835, 52124, 51750, 56183, 53578, 51571, 50961, 52124, 55800, 51817, 50923, 63623, 50923, 51571, 50811, 52124, 52279, 56878, 52265, 52657, 50911, 56887, 50911, 51571, 50930, 52124, 54451, 77838, 53785, 51571, 50930, 52124, 56341, 51571, 50811, 52124, 51156, 75053, 51817, 50911, 63623, 50911, 51571, 50949, 52124, 54906, 77838, 53851, 51571, 50961, 52124, 55254, 52657, 50893, 56887, 50893, 51571, 50949, 52124, 53893, 64673, 51571, 50962, 52124, 56354, 51817, 50948, 63623, 50948, 51571, 50811, 52124, 65440, 56183, 53736, 51571, 50962, 52124, 50962, 53534, 51073, 68261, 51073, 51571, 51300, 52124, 51300, 63528, 51039, 56183, 53578, 50798, 51663, 52630, 51817, 51033, 63623, 51033, 52777, 65463, 52657, 51175, 56887, 51175, 51320, 56183, 50817, 51570, 52267, 51817, 50923, 63623, 50923, 51320, 56183, 52568, 52657, 50911, 56887, 50911, 51571, 50846, 52124, 54499, 56878, 52193, 51817, 51030, 63623, 51030, 51571, 50962, 52124, 55146, 77838, 53736, 50856, 50817, 53534, 51345, 68261, 51345, 51571, 50811, 52124, 51670, 56878, 52302, 51571, 50961, 52124, 51139, 56183, 53578, 51571, 50895, 52124, 53516, 51817, 50911, 63623, 50911, 51571, 50962, 52124, 56106, 56878, 52265, 52657, 51500, 56887, 51500, 51571, 50949, 52124, 54906, 77838, 53785, 51571, 50811, 52124, 52952, 51571, 50941, 52124, 56423, 51663, 54129, 51571, 50961, 52124, 55186, 51817, 50923, 63623, 50923, 51571, 50961, 52124, 55130, 77838, 53851, 51571, 50895, 52124, 53595, 52657, 51173, 56887, 51173, 51571, 50811, 52124, 52279, 55843, 51817, 50948, 63623, 50948, 51320, 56183, 50817, 53534, 51235, 56887, 51009, 51940, 51407, 52124, 51009, 63680, 54533, 51039, 56183, 53578, 50798, 51663, 52630, 51817, 50911, 52777, 65463, 52018, 51175, 51320, 56183, 50817, 51570, 52267, 51817, 50893, 56887, 50890, 51770, 50824, 52124, 53690, 77838, 52568, 52018, 50893, 52777, 68037, 51817, 50948, 56887, 50846, 51593, 50976, 52124, 53871, 77838, 53736, 56887, 50890, 52124, 57259, 50817, 53534, 51112, 56887, 73166, 52369, 52124, 51670, 64872, 51039, 56183, 52630, 51817, 50911, 56887, 50894, 52124, 54627, 56878, 52265, 52018, 51379, 56887, 50803, 52124, 63579, 56183, 50817, 51570, 75053, 51817, 50911, 56887, 50895, 52124, 54749, 77838, 53851, 56887, 50961, 52124, 55254, 52018, 50948, 56887, 50890, 52124, 54078, 64673, 56887, 50962, 52124, 56354, 51817, 50948, 56887, 50811, 52124, 65440, 56183, 53736, 56887, 50882, 52124, 50882, 53534, 51345, 56887, 50975, 52124, 50975, 65375, 52302, 51940, 54589, 56183, 53578, 50798, 51663, 52630, 51817, 51033, 73521, 50427, 51770, 51021, 50429, 56887, 50836, 52124, 53695, 52018, 51379, 56887, 50962, 51593, 50823, 52124, 55146, 77838, 58167, 51593, 62591, 51245, 51594, 54129, 51404, 50962, 50443, 51746, 60482, 51817, 50911, 53359, 50818, 51282, 52816, 77838, 52568, 52018, 51030, 73521, 50451, 51323, 70566, 51245, 57830, 51817, 50893, 53359, 50820, 51282, 54200, 77838, 57895, 51404, 69866, 51404, 73184, 56887, 50887, 52124, 56715, 50817, 53534, 51013, 53359, 50890, 51282, 53690, 64872, 50415, 51245, 51286, 50420, 53359, 50828, 51282, 51187, 56183, 60879, 51404, 54381, 56887, 50890, 52124, 67596, 51323, 57316, 51817, 51030, 53359, 50962, 51282, 56106, 56878, 54396, 51404, 69544, 51746, 57943, 52018, 50911, 53359, 50890, 51282, 53690, 77838, 53785, 56887, 50930, 52124, 75031, 51323, 52841, 53359, 50811, 51282, 51156, 54533, 50439, 51245, 63773, 51404, 56843, 51817, 50893, 53359, 50930, 51282, 54451, 77838, 59587, 51823, 51215, 50447, 56887, 50962, 52124, 56604, 52018, 51030, 53359, 50962, 51282, 56106, 51636, 50452, 51404, 59994, 56887, 50930, 52124, 75336, 51245, 63109, 51817, 50924, 53359, 50930, 51282, 54451, 77838, 53736, 56887, 51300, 52124, 51300, 53534, 51346, 53359, 51059, 51282, 51059, 63528, 50415, 51823, 50923, 51039, 56183, 60879, 51188, 62231, 51404, 55195, 51663, 52630, 51817, 51030, 73521, 50430, 51347, 54334, 52018, 51379, 53359, 50882, 51282, 53235, 77838, 58167, 51188, 51215, 51570, 54129, 51499, 57736, 51817, 50911, 51323, 69446, 56183, 56877, 51593, 60555, 51478, 64891, 51770, 77778, 52018, 50893, 52777, 68037, 51817, 50948, 53359, 50887, 51593, 50823, 51282, 53579, 77838, 53736, 56887, 51573, 52124, 78052, 50817, 53534, 51048, 53359, 51054, 51478, 50948, 51282, 51054, 65375, 52302, 51593, 52207, 56183, 53578, 51746, 56346, 51817, 51030, 52777, 51663, 54396, 51323, 53810, 52018, 51175, 53359, 50930, 51746, 72725, 54451, 77838, 53785, 51323, 52599, 53359, 50884, 51245, 50858, 51282, 51179, 51663, 54129, 51746, 54651, 51817, 50911, 53359, 50930, 51323, 50830, 51282, 54451, 77838, 53851, 51497, 54596, 52018, 50948, 53359, 50930, 51746, 51030, 51282, 55060, 64673, 56887, 50962, 52124, 56354, 51817, 50948, 53359, 50890, 51282, 53690, 77838, 57895, 51323, 56860, 56887, 51029, 51245, 50890, 52124, 51029, 50461, 51404, 51460, 53534, 51346, 53359, 50824, 51282, 50824, 63528, 51039, 56183, 53578, 51404, 73651, 51663, 52630, 51817, 50893, 73521, 50430, 51347, 56629, 52018, 51227, 53359, 50890, 51282, 53690, 77838, 58167, 51404, 51173, 51570, 57512, 51188, 71476, 51347, 57816, 51817, 50911, 53359, 50846, 51282, 53871, 77838, 53851, 56887, 50828, 52124, 53035, 52018, 50911, 53359, 50890, 51282, 54078, 64872, 50452, 51499, 59574, 56887, 50930, 52124, 55577, 51817, 51021, 53359, 50962, 51282, 55146, 77838, 57895, 51200, 58361, 56887, 50962, 52124, 61151, 50817, 53534, 51345, 53359, 50811, 51282, 51670, 56878, 52302, 53359, 50828, 51347, 50962, 51282, 51187, 56183, 53578, 56887, 50890, 51499, 50882, 52124, 70576, 51347, 53950, 51817, 50911, 53359, 50803, 51282, 51779, 64872, 50428, 51499, 54154, 52018, 51227, 51347, 51030, 51320, 56183, 52676, 56887, 50894, 51200, 51496, 52124, 51739, 75053, 51817, 51388, 53359, 50930, 51282, 54451, 77838, 53851, 56887, 50962, 52124, 56604, 52018, 50911, 53359, 50930, 51282, 55060, 64673, 56887, 50962, 52124, 56354, 51817, 51030, 53359, 50887, 51282, 53579, 77838, 53736, 56887, 52097, 52124, 52097, 53534, 51227, 53359, 51059, 51282, 51059, 63528, 51039, 56183, 60879, 52150, 54588, 50798, 54533, 50424, 53468, 53450, 51817, 50948, 73521, 50427, 52150, 59545, 53468, 53998, 52657, 51500, 53359, 50890, 52150, 50810, 51282, 53690, 77838, 62602, 53468, 52691, 52150, 51420, 60178, 53468, 53783, 51817 ]
[ 0, 250, 20902, 3152, 8, 3495, 24904, 2214, 11, 2060, 538, 6, 4246, 10, 11577, 20535, 2810, 6, 38668, 22052, 6, 1076, 560, 31365, 25999, 6, 9590, 3863, 6, 8, 3459, 9590, 6, 2351, 41, 14899, 8, 15352, 30054, 5466, 19, 10, 2365, 8, 1313, 16464, 6, 3185, 30, 10, 1769, 20889, 9, 19376, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 230, 10431, 119, 1176, 406, 6, 381, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 56574, 51068, 51724, 50945, 51918, 51019, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 55436, 51068, 53312, 66195, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 56574, 51068, 51724, 50945, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 55436, 51068, 50807, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 56574, 51068, 51724, 50945, 51918, 51019, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 55436, 51068, 53312, 66195, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 51724, 51205, 62478, 50816, 52513, 50816, 51757, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51205, 50991, 51068, 52390, 50807, 55708, 52221, 62550, 50807, 54961, 50983, 58943, 50983, 75537, 50983, 55465, 59492, 51068, 52390, 53872, 53182, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 52390, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51646, 51796, 52221, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51918, 50798, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51796, 63600, 53030, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51923, 50798, 50795, 52489, 50795, 55321, 50795, 58220, 50795, 55826, 50795, 55708, 52221, 62550, 50807, 54961, 50983, 58943, 50983, 75537, 50983, 55465, 59492, 51068, 52390, 53872, 53182, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 52390, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51646, 51796, 56426, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51918, 51796, 51428, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51796, 63600, 53030, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 50795, 55708, 52221, 62550, 50807, 54961, 50983, 58943, 50983, 75537, 50983, 55465, 59492, 51068, 52390, 53872, 53182, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 52390, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51646, 51796, 52221, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51918, 50798, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51796, 63600, 53030, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51923, 50798, 50795, 52489, 50795, 55321, 50795, 58220, 50795, 55826, 50795, 51528, 61559, 50807, 54961, 50795, 58943, 50795, 75537, 50795, 55465, 52115, 51796, 51730, 52108, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51631, 51796, 51730, 58717, 52390, 60020, 55154, 50807, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51736, 51796, 51730, 58717, 52390, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51646, 51796, 51730, 52108, 60020, 55154, 50807, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51918, 51796, 51730, 52108, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 53658, 50816, 51757, 51796, 51730, 52108, 52108, 77910, 55154, 50807, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51923, 51796, 51730, 52108, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 52221, 55154, 53218, 51325, 52390, 80181, 52108, 61559, 53312, 51325, 51730, 50795, 55194, 52221, 67934, 55154, 50807, 51694, 55154, 53182, 51213, 52108, 51646, 53344, 52221, 55154, 53218, 50945, 51730, 51798, 51213, 52390, 55154, 53312, 51325, 51730, 50795, 53534, 55157, 61559, 50807, 51694, 55154, 53182, 51011, 52390, 51646, 51325, 51730, 55154, 53218, 51325, 55568, 80181, 55154, 58031, 51326, 51754, 51325, 51730, 60020, 50800, 55708, 52221, 67934, 55154, 50807, 51694, 55154, 53182, 51228, 52108, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51228, 61024, 55154, 53312, 51796, 51730, 52108, 50809, 53206, 50809, 51528, 61559, 53561, 51796, 51428, 52108, 60020, 51631, 51796, 51730, 52108, 60020, 55154, 53182, 51796, 51730, 52108, 60020, 51646, 51796, 51730, 52108, 60020, 55154, 53218, 51796, 51730, 52108, 60020, 53658, 50816, 51757, 51796, 51730, 52108, 60020, 55154, 53312, 51796, 51730, 52108, 60020, 50795, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 50807, 51899, 55154, 53312, 51796, 56252, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 50807, 51899, 55154, 53312, 51796, 56252, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 50807, 51899, 55154, 53312, 51796, 56252, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 53218, 50816, 51798, 50927, 52108, 55154, 53312, 50798, 50795, 53870, 55157, 67934, 61559, 50807, 51694, 55154, 53182, 51105, 51428, 51646, 51105, 55157, 55154, 50807, 51899, 55154, 53312, 51096, 56252, 53870, 55157, 61559, 50807, 51694, 55154, 53182, 51105, 51428, 51646, 51105, 55157, 55154, 52728, 50945, 52108, 55154, 53312, 51213, 56252, 55563, 55157, 61559, 50807, 51694, 55154, 53182, 51325, 51428, 51646, 51325, 51428, 55154, 52728, 51228, 52108, 55154, 53312, 51325, 56252, 55563, 51428, 61559, 53561, 51325, 52108, 51631, 51213, 52108, 55154, 53182, 51213, 51428, 51646, 50945, 52108, 55154, 50807, 53525, 51820, 50945, 51428, 51757, 51105, 52108, 55154, 53312, 51105, 56252, 55708, 52221, 67934, 52085, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 52221, 55154, 53218, 51325, 52390, 80181, 52108, 61559, 53312, 51325, 51730, 50795, 55194, 52221, 67934, 55154, 50807, 51694, 55154, 53182, 51213, 52108, 51646, 53344, 52221, 55154, 53218, 50945, 51730, 51798, 51213, 52390, 55154, 53312, 51325, 51730, 50795, 53534, 55157, 61559, 50807, 51694, 55154, 53182, 51011, 52390, 51646, 51325, 51730, 55154, 53218, 51325, 55568, 80181, 55154, 58031, 51326, 51754, 51325, 51730, 60020, 50800 ]

[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 30587, 8, 81, 9756, 29589, 6, 21072, 6, 8, 10, 17465, 102, 4, 20, 2125, 16, 11, 83, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5663, 741, 1685, 4, 20, 33215, 16739, 9, 381, 6, 163, 119, 406, 6, 83, 6, 381, 6, 163, 119, 406, 35315, 5705, 1328, 5, 2214, 6, 2351, 10, 1372, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 55846, 51047, 51883, 51047, 52414, 62976, 71137, 50887, 51905, 54818, 70209, 50884, 51733, 53230, 71137, 50884, 51905, 53418, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 50444, 66757, 50818, 51558, 52396, 61462, 51159, 51384, 51159, 50799, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 73009, 61462, 50840, 51384, 53548, 74356, 51056, 51926, 67272, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 68475, 51732, 50444, 61462, 50867, 51384, 54185, 50695, 50334, 51159, 52405, 51159, 50799, 55846, 51047, 51883, 51047, 52414, 62976, 71137, 50887, 51905, 54818, 70209, 50884, 51733, 53230, 71137, 50884, 51905, 53418, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 50444, 66757, 50818, 51558, 52396, 61462, 51159, 51384, 51159, 50799, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 73009, 61462, 50840, 51384, 53548, 74356, 51056, 51926, 67272, 50695, 50334, 50855, 52405, 50855, 52371, 70268, 61462, 50867, 51384, 54185, 50695, 50334, 51159, 52405, 51159, 50799, 55846, 51047, 51883, 51047, 52414, 62976, 71137, 50887, 51905, 54818, 70209, 50884, 51733, 53230, 71137, 50884, 51905, 53418, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 50444, 66757, 50818, 51558, 52396, 61462, 51159, 51384, 51159, 50799, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 73009, 61462, 50840, 51384, 53548, 74356, 51056, 51926, 67272, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 50441, 51266, 54653, 61462, 50867, 51384, 50867, 51600, 54803, 51629, 53140, 50695, 50334, 51159, 51284, 50874, 52405, 51159, 50453, 51558, 54424, 51905, 56569, 51384, 50862, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 51733, 51717, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 51036, 50682, 50332, 51445, 50682, 50337, 76350, 51848, 62264, 53223, 71137, 50887, 51905, 50383, 58499, 51135, 58372, 52144, 53744, 51848, 54285, 51872, 52928, 70209, 50884, 51733, 50383, 52852, 74025, 77511, 51989, 52818, 71137, 50884, 51905, 54405, 50898, 58372, 50835, 54360, 51446, 51493, 51446, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 51479, 53885, 66757, 50818, 51558, 59996, 74025, 53338, 57517, 52465, 57590, 53528, 51848, 53595, 61462, 51159, 51384, 51159, 51525, 74025, 53338, 54842, 51750, 51989, 52349, 56331, 57517, 52748, 58372, 50829, 53447, 51541, 51273, 51541, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51605, 50682, 50332, 51492, 50682, 50337, 51492, 50416, 50832, 56933, 51848, 57236, 61462, 50840, 51384, 56330, 75691, 51135, 58372, 50863, 52111, 67257, 54285, 52992, 74356, 51056, 51926, 51056, 51525, 74025, 53338, 51130, 51989, 52818, 51181, 50895, 51273, 54285, 50898, 58372, 54248, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 51479, 53885, 61462, 50867, 51384, 50375, 55913, 51463, 54724, 52465, 57590, 57723, 50832, 52802, 50695, 50334, 51159, 52405, 51159, 51525, 51463, 57875, 51750, 53650, 75747, 51273, 51033, 56331, 54842, 52748, 58372, 50829, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 51307, 50416, 50832, 56933, 51848, 57236, 71137, 50887, 51905, 53716, 75691, 51135, 58372, 50863, 52111, 67257, 54285, 52992, 70209, 50884, 51733, 50383, 52852, 74025, 77511, 51989, 52818, 71137, 50884, 51905, 54405, 50898, 58372, 50835, 54360, 51446, 51493, 51446, 61462, 50887, 56825, 51047, 79647, 52830, 51183, 51838, 53454, 51479, 53885, 66757, 50818, 51558, 59996, 51463, 57517, 52465, 57590, 57723, 50832, 52802, 61462, 51159, 51384, 51159, 51525, 80175, 51750, 53650, 56331, 57517, 52748, 58372, 50829, 53447, 51541, 51273, 51541, 74356, 50836, 55846, 51151, 51926, 50836, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51945, 50416, 50832, 56933, 51848, 57236, 61462, 50840, 51384, 56330, 75691, 51135, 58372, 50863, 52111, 67257, 54285, 52992, 74356, 51056, 51926, 51056, 51525, 74025, 53338, 51130, 51989, 52818, 51181, 50895, 51273, 54285, 50898, 58372, 54248, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 50695, 50334, 50855, 52405, 50855, 52371, 51183, 51479, 62961, 55448, 54811, 61462, 50867, 51384, 50375, 55913, 51463, 54724, 52465, 57590, 57723, 55448, 54054, 52802, 50695, 50334, 51159, 52405, 51159, 51525, 51463, 57875, 51750, 53650, 75747, 51273, 51033, 55448, 53841, 80175, 52748, 58372, 50829, 54468, 50918, 51216, 50918, 55846, 51047, 60177, 50938, 51883, 51047, 51733, 51717, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 64163, 51848, 62264, 53223, 51848, 51135, 58372, 52144, 50820, 51282, 51054, 50422, 60177, 51060, 50423, 51848, 54285, 51872, 52928, 51525, 74025, 77511, 51989, 50835, 51495, 51336, 50432, 55448, 50807, 51479, 58372, 73883, 51466, 54360, 51446, 51493, 51446, 56825, 51047, 52830, 51183, 51838, 53454, 51479, 53885, 51525, 74025, 53338, 57517, 52465, 57590, 50825, 51595, 51343, 50447, 51848, 53595, 51525, 74025, 53338, 54842, 51750, 51989, 50818, 51083, 51496, 50456, 56331, 57517, 52748, 58372, 56172, 55938, 50924, 53447, 51541, 51273, 51541, 55846, 51151, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51605, 50416, 50832, 56933, 51848, 57236, 55938, 51227, 50832, 75691, 51135, 58372, 50863, 51083, 51054, 52111, 67257, 54285, 52992, 51525, 74025, 53338, 51130, 51989, 70791, 51343, 50432, 51181, 50895, 51273, 50895, 55938, 51073, 51479, 58372, 50835, 51083, 51380, 50435, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 52371, 51183, 51479, 62961, 62383, 51346, 50444, 51525, 51463, 54724, 52465, 57590, 50825, 51083, 68168, 50832, 52802, 51525, 51463, 57875, 51750, 50895, 51268, 75487, 75747, 51273, 51033, 62383, 51158, 56331, 54842, 52748, 58372, 50829, 51083, 52188, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 71718, 57216, 50948, 50417, 51848, 62264, 53223, 62383, 51413, 51848, 51135, 58372, 52144, 50820, 51282, 51054, 50423, 51848, 54285, 51872, 52928, 51525, 74025, 77511, 51989, 50835, 51495, 51336, 50432, 51479, 58372, 73883, 51466, 54360, 51446, 51493, 51446, 56825, 51047, 52830, 51183, 51838, 53454, 51479, 53885, 51525, 51463, 57517, 52465, 57590, 50825, 51595, 51343, 50450, 51525, 80175, 51750, 51989, 50818, 51083, 51496, 50456, 56331, 57517, 52748, 58372, 50829, 53447, 51541, 51273, 51541, 55846, 51151, 51699, 51183, 51479, 51989, 50828, 50752, 50318, 51605, 50416, 50832, 56933, 51848, 51258, 55997, 75691, 51135, 58372, 50863, 51083, 51054, 52111, 67257, 54285, 52992, 51525, 74025, 53338, 51130, 51989, 70791, 51343, 50432, 51181, 50895, 51273, 54285, 50898, 58372, 50835, 51083, 51380, 50435, 51181, 50883, 51273, 53294, 51181, 51541, 51273, 51541, 52371, 51183, 51479, 53885, 55448, 50952, 51525, 51463, 54724, 52465, 57590, 50825, 51083, 68168, 50832, 52802, 55448, 50830, 51525, 51463, 57875, 51750, 50895, 51268, 75487, 75747, 51273, 51033, 60177, 51221, 56331, 54842, 52748, 58372, 50829, 51083, 52188, 54468, 50918, 51216, 50918, 55846, 51047, 51883, 51047, 51733, 51717, 52414, 51047, 51479, 51989, 50828, 50752, 50320, 64163, 51848, 62264, 53223, 60177, 51124, 51848, 51135, 58372, 52144, 50820, 51282, 51054, 50423, 51848, 54285, 51872, 52928, 51525 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 3366, 219, 8, 980, 219, 16464, 6, 4246, 38668, 9590, 6, 21072, 6, 2382, 3459, 8669, 6, 38668, 3038, 6, 8, 38668, 22052, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 23, 10, 38451, 3938, 20889, 9, 12747, 741, 1685, 11, 5, 762, 9, 230, 10431, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50799, 52473, 51945, 56278, 57226, 52473, 54171, 50920, 57236, 51268, 51134, 58787, 55375, 51268, 52441, 50920, 52976, 51385, 51351, 50852, 53107, 54956, 51385, 52256, 50920, 54354, 58081, 55813, 50920, 52896, 51268, 51790, 56526, 54905, 51268, 52980, 50920, 54189, 51385, 51397, 69477, 55721, 51385, 52407, 50920, 52772, 50852, 53107, 50835, 54287, 54719, 52473, 51058, 50852, 53515, 56013, 52473, 52731, 50920, 50829, 50799, 52473, 51359, 56278, 55138, 52473, 51671, 50920, 54303, 51268, 51363, 63192, 55375, 51268, 53096, 50920, 52670, 51385, 51267, 50852, 52291, 53943, 51385, 52056, 50920, 53962, 51268, 51115, 56278, 54950, 51268, 52519, 50920, 52904, 51530, 50866, 64695, 54704, 51530, 51470, 63192, 53858, 51385, 51047, 80194, 55686, 51385, 51703, 50920, 52772, 51268, 74585, 53107, 54859, 51268, 52192, 50920, 58210, 51268, 62895, 52291, 54600, 51268, 52048, 50920, 50834, 50799, 52473, 51945, 64272, 57226, 52473, 53142, 50920, 57236, 51268, 51134, 58787, 55375, 51268, 52441, 50920, 52976, 51385, 51115, 50852, 52291, 54956, 51385, 52519, 57718, 51361, 53045, 55813, 50920, 52896, 51268, 51742, 64695, 54905, 51268, 54829, 58081, 54189, 51385, 51742, 65984, 55721, 51385, 54829, 50920, 52772, 50852, 52291, 50835, 54287, 54719, 52473, 50892, 63192, 56013, 52473, 51432, 50920, 50829, 50799, 52473, 51151, 66568, 55138, 52473, 51922, 50920, 54303, 51268, 51480, 58787, 55375, 51268, 54836, 50920, 52670, 51385, 59098, 52291, 53943, 51385, 51466, 50920, 53962, 51268, 51310, 58787, 54950, 51268, 53280, 50920, 52904, 51530, 50838, 66568, 54704, 51530, 51737, 80194, 53858, 51385, 51680, 66759, 51233, 63192, 55686, 51385, 58468, 50920, 52772, 51268, 74585, 53995, 54859, 51268, 52192, 70033, 51242, 50920, 58210, 51268, 50981, 50852, 53107, 54600, 51268, 52011, 50920, 50834, 50799, 52473, 52069, 70033, 51309, 66568, 57226, 52473, 53588, 50920, 57236, 51268, 51381, 80194, 55375, 51268, 56374, 66759, 51481, 50920, 52976, 51385, 51542, 50852, 52291, 54956, 51385, 54228, 50920, 54354, 58081, 55813, 50920, 52896, 51268, 52015, 66568, 54905, 51268, 56329, 50920, 54189, 51385, 51148, 79701, 51363, 80194, 55721, 51385, 52147, 50920, 52772, 50852, 52523, 55423, 70033, 51242, 50920, 54719, 52473, 51254, 58081, 56013, 52473, 54887, 50920, 50829, 50799, 52473, 51293, 70033, 51233, 66568, 55138, 52473, 52727, 50920, 54303, 51268, 51312, 80194, 55375, 51268, 52996, 66759, 51277, 50920, 52670, 51385, 51312, 50852, 52523, 53943, 51385, 52996, 50920, 53962, 51268, 51318, 69477, 54950, 51268, 53577, 50920, 52904, 51530, 50866, 56278, 54704, 51530, 51470, 50920, 53858, 51385, 51148, 63192, 63157, 66759, 51177, 50447, 51385, 52147, 50920, 52772, 51268, 74585, 53995, 54859, 51268, 52192, 70033, 51212, 50920, 58210, 51268, 51480, 50852, 52523, 54600, 51268, 54836, 50920, 50834, 50799, 52473, 51714, 70033, 51400, 66568, 57226, 52473, 54171, 50920, 57236, 51268, 51419, 56278, 55375, 51268, 54211, 58081, 73309, 66759, 51423, 50426, 51385, 51134, 50852, 53495, 54956, 51385, 52441, 50920, 54354, 56278, 55813, 50920, 52896, 51268, 51742, 66568, 54905, 51268, 54829, 50920, 54189, 51385, 51742, 79701, 51337, 80194, 55721, 51385, 54829, 50920, 52772, 50852, 53045, 55423, 70033, 51255, 50920, 54719, 52473, 50892, 80194, 56013, 52473, 51432, 50920, 50829, 50799, 52473, 55428, 66759, 51642, 62023, 55138, 52473, 58728, 50920, 54303, 51268, 51411, 63192, 55375, 51268, 53957, 50920, 52670, 51385, 50995, 50852, 52291, 53943, 51385, 52025, 50920, 53962, 51268, 51318, 56278, 54950, 51268, 53577, 50920, 57892, 66759, 51363, 50438, 51530, 50905, 56278, 54704, 51530, 51387, 50920, 53858, 51385, 51080, 58787, 55686, 51385, 53055, 50754, 50324, 51233, 50920, 52772, 51268, 51637, 50920, 54859, 51268, 57032, 50920, 51258, 50455, 50754, 50322, 50974, 56672, 53045, 54600, 50920, 50834, 50799, 62023, 58120, 51595, 51677, 50754, 50324, 51679, 53321, 51258, 50418, 51595, 53866, 50420, 51268, 51477, 58787, 55375, 51268, 55002, 69477, 52976, 51385, 51419, 50852, 53107, 54956, 51385, 54211, 57718, 50431, 50754, 50322, 51376, 51361, 52823, 55813, 50920, 52896, 51268, 51803, 66568, 56819, 50754, 50322, 52263, 50441, 51268, 55586, 50920, 54189, 51385, 51145, 63192, 55721, 51385, 52212, 50920, 52772, 50852, 52523, 50835, 54287, 54719, 79775, 69477, 56013, 51595, 51737, 50920, 50829, 50799, 51595, 51717, 66568, 55138, 51595, 53201, 50920, 54303, 51268, 51108, 58081, 55375, 51268, 53838, 50920, 52670, 51385, 51312, 50852, 52523, 53943, 51385, 52996, 50920, 53962, 51268, 51318, 58787, 54950, 51268, 53577, 50920, 52904, 51530, 50987, 66759, 51363, 64695, 54704, 51530, 51824, 63192, 53858, 51385, 51448, 80194, 60966, 50754, 50324, 51194, 50447, 51385, 54532, 50920, 52772, 51268, 51058, 50852, 53495, 54859, 51268, 52731, 50920, 51258, 50454, 50754, 50322, 62034, 51268, 51312, 50852, 52291, 54600, 51268, 52996, 50920, 50834, 50799, 52473, 51945, 50754, 50324, 51542, 56526, 57226, 52473, 53142, 50920, 57236, 51268, 51391, 63192, 55375, 51268, 53674, 50920, 52976, 51385, 51318, 50852, 52499, 54956, 51385, 53577, 57718, 50431, 50754, 50322, 57018, 56278, 55813, 50920, 52896, 51268, 52015, 62023, 56819, 50754, 50322, 52136, 50441, 51268, 56329, 50920, 54189, 51385, 51148, 69477, 55721, 51385, 52147, 50920, 52772, 50852, 52539, 50835, 54287, 54719, 52473, 51006, 58081, 56013, 52473, 78179, 50829, 50799, 52473, 51353, 66568, 55138, 52473, 51748, 80194, 54303, 51268, 79427, 56570, 55375, 51268, 53957, 50920, 52670, 51385, 51411, 50852, 52539, 53943, 51385, 53957, 50920, 53962, 51268, 51318, 66568, 54950, 51268, 53577, 50920, 52904, 51530, 50978, 64695, 54704, 51530, 52192, 63192, 53858, 51385, 51310, 66759, 51178, 63192, 55686, 51385, 53280, 50920, 52772, 51268, 74585, 53515, 54859, 51268, 52192, 70033, 51100, 50920, 58210, 51268, 56362, 52539, 54600, 51268, 51432, 50920, 50834, 50799, 52473, 52069, 70033, 51178, 66568, 57226, 52473, 53588, 50920, 57236, 51268, 51381, 56278, 55375, 51268, 56374, 66759, 79518, 55756, 52976, 51385, 51542, 50852, 52523, 54956, 51385, 54228, 50920, 54354, 58787, 55813, 50920, 52896, 51268, 52015, 64272, 54905, 51268, 56329, 50920, 54189, 51385, 51148, 79701, 51178, 58081, 55721, 51385, 52147, 50920, 52772, 50852, 53107, 55423, 70033, 51101, 50920, 54719, 52473, 51254, 58787, 56013, 52473, 54887, 50920, 50829, 50799, 52473, 51293, 64272, 55376, 66759, 70544, 52473, 52727, 50920, 54303, 51268, 51312, 58787, 55375, 51268, 52996, 50920, 52670, 51385, 51312, 50852, 51987, 53943, 51385, 52996, 50920, 53962, 51268, 51318, 56278, 54950, 51268, 53577, 50920, 52904, 51530, 50866, 64272, 54704, 51530, 51470, 58081, 53858, 51385, 51148, 53510, 50888, 63157, 66759, 51178, 50447, 51385, 52147, 50920, 52772, 51268, 74585, 55712, 54859, 51268, 52192, 70033, 51177, 50920, 58210, 51268, 51480, 50852, 51987, 54600, 51268, 54836, 50920, 50834, 50799, 52473, 51714, 70033, 51203, 56526, 57226, 52473, 54171, 50920, 57236, 51268, 51419, 58787, 55375, 51268, 54211, 66759, 51043, 58787, 52976, 51385, 51134, 50852, 51987, 54956, 51385, 52441, 50920, 54354, 56278, 55813, 50920, 52896, 51268, 51742, 66568, 54905, 51268, 54829, 50920, 54189, 51385, 51742, 79701, 51412, 69477, 55721, 51385, 54829, 50920, 52772, 50852 ]

[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 232, 930, 4785, 6, 22750, 1626, 11098, 8, 1007, 4, 16241, 212, 3038, 6, 21979, 8669, 6, 21072, 6, 8, 9590, 3863, 283, 561, 7, 1045, 10, 20902, 2365, 11379, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 4246, 10, 33215, 13931, 9, 272, 406, 6, 230, 401, 6, 272, 6, 230, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50457, 51774, 50840, 51614, 50846, 51515, 50884, 51440, 50840, 52233, 55856, 56708, 50880, 53151, 50385, 53290, 51111, 50913, 50921, 50920, 62519, 51236, 53914, 50863, 51601, 50913, 53107, 51004, 50416, 51614, 50840, 51774, 50846, 51515, 50887, 51440, 50846, 55308, 50887, 56065, 64941, 51515, 50887, 51774, 50840, 51440, 50840, 51614, 50855, 52665, 50887, 63647, 53963, 55519, 52087, 55983, 50920, 68002, 51059, 52834, 62736, 52001, 51573, 51236, 58099, 51774, 50840, 51614, 50840, 51515, 50887, 51440, 68147, 58446, 52870, 57849, 50880, 52338, 50840, 53649, 53127, 52417, 51614, 50880, 51515, 50883, 51774, 50884, 51440, 57148, 51987, 54121, 54496, 52834, 78562, 58446, 57014, 51614, 50887, 51515, 50884, 51774, 50887, 51440, 50887, 56708, 50840, 53151, 57919, 53914, 58900, 51383, 53301, 51987, 60372, 51515, 50884, 51440, 50884, 51774, 50884, 51614, 50884, 55308, 50840, 56065, 53353, 51987, 56038, 51515, 50887, 51774, 50840, 51614, 50855, 51440, 50840, 52665, 50840, 63647, 50383, 53830, 75820, 58446, 58514, 62161, 51170, 54591, 58677, 51515, 50887, 51440, 50887, 51774, 50887, 51614, 50887, 52338, 50887, 57849, 57148, 51987, 50863, 53341, 52539, 54763, 50803, 66629, 50887, 51660, 50855, 51434, 50887, 51773, 50962, 56049, 50821, 53883, 57148, 57803, 56379, 50385, 53830, 50936, 53321, 54121, 50962, 50421, 51660, 50841, 51434, 50846, 51773, 50884, 51774, 50884, 54277, 50887, 58047, 57148, 53107, 58830, 51660, 50855, 51434, 50887, 51773, 50887, 51774, 50883, 52665, 50840, 63647, 59453, 52087, 52539, 58245, 50843, 51454, 52834, 80144, 58446, 68196, 51066, 51236, 58459, 51660, 50840, 51774, 50884, 51434, 50884, 51773, 53963, 56093, 58221, 52338, 50887, 57849, 62268, 50913, 52786, 57405, 51774, 50887, 51660, 50855, 51773, 50887, 51434, 57772, 61141, 53607, 62047, 50913, 52699, 50385, 53290, 50879, 50443, 50920, 53041, 51434, 50887, 51774, 50880, 51660, 50855, 51773, 50887, 67792, 50880, 54012, 50385, 52272, 55059, 50920, 52300, 54763, 52116, 51774, 50880, 51434, 50887, 51773, 50887, 51660, 50855, 56049, 50840, 53883, 56428, 52539, 60535, 51660, 50867, 51434, 50840, 51773, 50887, 51774, 50840, 52665, 50840, 63647, 56428, 52699, 58514, 50926, 50599, 59169, 50920, 60321, 55263, 63958, 65608, 51774, 50880, 51660, 50840, 51434, 50887, 51773, 50880, 52338, 50887, 57849, 55790, 56494, 76566, 52502, 50846, 51601, 50920, 70325, 51081, 54756, 68472, 53607, 63094, 62721, 51774, 50813, 51515, 50841, 51440, 50841, 53151, 50841, 51996, 50846, 74417, 50976, 50920, 53353, 53983, 51021, 51587, 56093, 57646, 50920, 62239, 51146, 50811, 51774, 54766, 53762, 53846, 73107, 56494, 52968, 51515, 50841, 51440, 50841, 52196, 50820, 56065, 54660, 62721, 51836, 50813, 52338, 50841, 50715, 50292, 51021, 50913, 53995, 53871, 55959, 55736, 51614, 50841, 51515, 50855, 51440, 61682, 52502, 56691, 54162, 59184, 51146, 50811, 51515, 50855, 51614, 50855, 51440, 50855, 52665, 50841, 52601, 57113, 54545, 59901, 79297, 67687, 51054, 51170, 53353, 52523, 53759, 59805, 58655, 51774, 50855, 51515, 50840, 51440, 50855, 53151, 50855, 51996, 61682, 56455, 53353, 52523, 53871, 63228, 51339, 73168, 54906, 50823, 51240, 53607, 62955, 51774, 50840, 51515, 50846, 51440, 50841, 56065, 50846, 52196, 73107, 53127, 63317, 50913, 52539, 53846, 56122, 57859, 51614, 50840, 51515, 50855, 51440, 50813, 52338, 50846, 51836, 52786, 58906, 58514, 56460, 54880, 64963, 50913, 58295, 56419, 50715, 50292, 51599, 50803, 67547, 50855, 51515, 50855, 51440, 50841, 52665, 50855, 52601, 53127, 58906, 57113, 61429, 65608, 51614, 50813, 51515, 50867, 51440, 50841, 50715, 50280, 61152, 53353, 51987, 53473, 77264, 53223, 64076, 51996, 50841, 53151, 56455, 53353, 52539, 54739, 63501, 62721, 51515, 50840, 51774, 50841, 51440, 50841, 51996, 50855, 53151, 50855, 74417, 67549, 55399, 52199, 57772, 52220, 64262, 50920, 59971, 51146, 50811, 51774, 50840, 51515, 50840, 51440, 50855, 52196, 50841, 56065, 52539, 58906, 58251, 53301, 53833, 66380, 62721, 52338, 50846, 51836, 50841, 50715, 50292, 51021, 50913, 51987, 54739, 61758, 79737, 51614, 50841, 51515, 50841, 51440, 55150, 54739, 54449, 52790, 50859, 50440, 51146, 50811, 51515, 50867, 51614, 50855, 51440, 50867, 52665, 50841, 52601, 56410, 54545, 61682, 52616, 79297, 67687, 77048, 53995, 53846, 55263, 55551, 51774, 50855, 51515, 50855, 51440, 50855, 51996, 50855, 53151, 67153, 53078, 52523, 53852, 59520, 53083, 51430, 50976, 61322, 50949, 50715, 50292, 50923, 51240, 53607, 58295, 54739, 58615, 51434, 50840, 51607, 55150, 61682, 60053, 52043, 50855, 54012, 50855, 77348, 58965, 50920, 53766, 56122, 53607, 59025, 51607, 50840, 51773, 50840, 52043, 50855, 51946, 50840, 53883, 55150, 59520, 58514, 53607, 54880, 50841, 51601, 51487, 50803, 71962, 57343, 54591, 54739, 60442, 51773, 50846, 51607, 50841, 52043, 50841, 52032, 50841, 58047, 58250, 57113, 52637, 60480, 71550, 51434, 50887, 51607, 50867, 52043, 50855, 51836, 51095, 57849, 50855, 50715, 50287, 73254, 59520, 56152, 53301, 53833, 59509, 50913, 52523, 54739, 55549, 57469, 51430, 50802, 51607, 50841, 51434, 50820, 52043, 50841, 57849, 50841, 50715, 50292, 50976, 51240, 53607, 54608, 54162, 51021, 51587, 52667, 50920, 54986, 51434, 50855, 51607, 50841, 52043, 50841, 77348, 50846, 54012, 52539, 52790, 75533, 56494, 52702, 54077, 50920, 57014, 51946, 50855, 53883, 50813, 71962, 56562, 55959, 57793, 67387, 51062, 50824, 51773, 50841, 51607, 50855, 52043, 54766, 56691, 54162, 50823, 51587, 58953, 51607, 50855, 52043, 50855, 51773, 50855, 52032, 50855, 58047, 57113, 54545, 64915, 50920, 59520, 54763, 53353, 57723, 61322, 65030, 64599, 51434, 50855, 51607, 50840, 52043, 50841, 57849, 50855, 51836, 52790, 52523, 58906, 56455, 54162, 63318, 50920, 59658, 53607, 53632, 56250, 51434, 50840, 51607, 50846, 52043, 50841, 54012, 50867, 77348, 58906, 53127, 50846, 75464, 53914, 53846, 57627, 52087, 55138, 51607, 50855, 51773, 50840, 52043, 50813, 51946, 50840, 53883, 59302, 56460, 52523, 53871, 56804, 53576, 51487, 50803, 71962, 56284, 53078, 53238, 59174, 51773, 50841, 51607, 50855, 52043, 50841, 52032, 50841, 58047, 58906, 57113, 54545, 57286, 71993, 51773, 50813, 51607, 50867, 52043, 50855, 50715, 50287, 58446, 52502, 53944, 77264, 56455, 61426, 51836, 50841, 57849, 52790, 52539, 54739, 56152, 59382, 51814, 51352, 51774, 50841, 51515, 50846, 51440, 50841, 51996, 50855, 53151, 50855, 74417, 56284, 54987, 52199, 53579, 50823, 51587, 58855, 50920, 63337, 51774, 50840, 51515, 50840, 51440, 50855, 52196, 50855, 56065, 52532, 52539, 53473, 50369, 52073, 58251, 69824, 51836, 50855, 50715, 50292, 80258, 54739, 61758, 57793, 53162, 52338, 55761, 51440, 50855, 51614, 50841, 51515, 53852, 54449, 52790, 58295, 53409, 51614, 50855, 51515, 50867, 51440, 50867, 52665, 50841, 52601, 53127, 61682, 56017, 56353, 67687, 70094, 53846, 55263, 53353, 62662, 51515, 50855, 51774, 50855, 51440, 50855, 51996, 50855, 53151, 52786, 61682, 56455, 53078, 54880, 62519, 50920, 54739, 50823, 51240, 53607, 50859, 51601, 51774, 50840, 51515, 50855, 51440, 50855, 52196, 50841, 56065, 61682, 53127, 63094, 50913, 52523, 53766, 56122, 57646, 51614, 50840, 51515, 50840, 51440, 50855, 52338, 50840, 51836, 54766, 52523, 54739, 61682, 58514, 58099, 50715, 50292, 52466, 64899 ]

[ 0, 250, 182, 1769, 8, 765, 37903, 9, 3152, 930, 11, 163, 428, 3694, 6, 4246, 10, 11739, 9, 1893, 43639, 6, 30587, 8, 21979, 29589, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 648, 2933, 5466, 19, 9066, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50804, 58320, 54899, 51732, 54542, 51732, 51521, 51732, 52028, 51732, 53550, 50811, 55669, 52952, 50804, 50811, 53526, 50811, 55350, 50811, 50799, 57355, 51732, 56841, 51732, 50804, 50811, 51885, 51184, 51246, 51732, 53550, 50811, 55669, 50811, 58497, 51184, 53550, 50811, 53526, 50811, 55350, 56628, 57454, 50802, 55860, 50802, 55669, 50811, 52305, 51059, 51846, 51009, 50427, 54978, 50802, 57454, 71692, 51611, 79290, 57355, 51732, 54899, 51732, 53550, 50811, 58497, 51732, 52028, 51732, 55669, 52952, 50804, 50811, 53526, 50811, 55350, 50811, 55669, 52952, 50804, 50811, 55669, 52952, 50804, 50811, 53526, 50811, 55350, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19448, 5175, 25771, 2214, 14, 1575, 10, 38668, 2236, 981, 5, 33301, 6, 7513, 30, 38668, 22052, 6, 21979, 8669, 6, 1021, 5901, 1243, 6, 8, 21072, 4, 20, 2125, 16, 11, 272, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 10, 2635, 1614, 1073, 1020, 20889, 4, 20, 33215, 16739, 9, 1918, 406, 6, 272, 119, 1176, 406, 6, 211, 6, 8, 272, 73, 387, 3639, 7, 5, 5679, 26709, 8, 23975, 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 ]

[ 57528, 50799, 68444, 51196, 58707, 51009, 53985, 51009, 53132, 51009, 52945, 51009, 52689, 51009, 51927, 51635, 55138, 64576, 50372, 53823, 53419, 53420, 62701, 50904, 65984, 55795, 67625, 67195, 54018, 52966, 64576, 51697, 50852, 53495, 51306, 50429, 62701, 53701, 50578, 52909, 53814, 63770, 53330, 53515, 53593, 64576, 50907, 61803, 53115, 73806, 50896, 58707, 50824, 53985, 50824, 53132, 50824, 53391, 64828, 52499, 77060, 64576, 54220, 54435, 54406, 62701, 68441, 53045, 55354, 67625, 60658, 53430, 69579, 50896, 58707, 51072, 53985, 50824, 52945, 50824, 64576, 63376, 50370, 52388, 52499, 51258, 50453, 62701, 57194, 54719, 63770, 50925, 58081, 54625, 52855, 50922, 50928, 50799, 68445, 51469, 58707, 51184, 64183, 53985, 51184, 52358, 51987, 51306, 50417, 64576, 50372, 53823, 53518, 53738, 62701, 55181, 53515, 55133, 67625, 60527, 53622, 52670, 64576, 51697, 50852, 53495, 64044, 62701, 50372, 53823, 53622, 53962, 63770, 50862, 69477, 57398, 53452, 52168, 57037, 52168, 53557, 52168, 54045, 52168, 55205, 52168, 50435, 64576, 51254, 61803, 52958, 50920, 77060, 64576, 50886, 55824, 51139, 54435, 54485, 62701, 56071, 54926, 67625, 50912, 50769, 50296, 52922, 53166, 63770, 50810, 50769, 50294, 53333, 53495, 71670, 72011, 50862, 59261, 54821, 54059, 67625, 50854, 59261, 53067, 54625, 63770, 57427, 50908, 50799, 68444, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 51758, 51090, 72011, 50918, 59151, 51314, 53752, 68670, 63128, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 52966, 51032, 56106, 52493, 53495, 51306, 50429, 50947, 50372, 53823, 52909, 53814, 51064, 51559, 53515, 53593, 51758, 50961, 51032, 55719, 52348, 52909, 53115, 69579, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 52887, 50930, 59151, 74744, 52100, 53067, 77060, 50929, 51179, 54435, 67520, 51169, 54394, 50929, 63711, 55354, 50970, 51380, 69603, 51382, 53934, 53495, 51258, 63016, 54719, 58081, 54625, 69603, 50799, 67751, 51300, 57922, 51300, 57922, 51285, 54911, 51300, 52632, 51362, 56726, 51878, 53752, 51987, 51306, 50417, 71023, 51460, 51456, 54561, 53738, 51549, 52853, 53515, 55133, 51316, 56386, 53622, 52670, 77528, 69921, 53708, 53495, 64044, 51032, 53277, 50578, 53622, 53962, 51316, 51297, 69477, 56720, 51032, 54950, 58707, 51196, 53391, 51009, 52689, 51009, 53686, 51009, 51064, 51218, 72011, 51285, 50700, 50345, 52168, 61803, 52958, 50920, 77060, 52587, 51541, 54933, 54435, 54485, 50920, 54926, 70649, 51382, 53347, 53495, 51129, 63016, 65496, 51032, 61021, 51064, 53556, 50947, 55004, 54625, 51064, 70160, 50908, 50799, 69579, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 52887, 51226, 51032, 50887, 59151, 51314, 53752, 60292, 55138, 50929, 65279, 53419, 61543, 51169, 53420, 50929, 53600, 52499, 55795, 50970, 51412, 51170, 54018, 50891, 51302, 52493, 53495, 51306, 50429, 51456, 52909, 50908, 51361, 53515, 57201, 50960, 70709, 52887, 50883, 50986, 58491, 52348, 52909, 53115, 68445, 51196, 53985, 51009, 53391, 51009, 53686, 51009, 53149, 50930, 50700, 50345, 74744, 52100, 53067, 77060, 50986, 52771, 54435, 54406, 67765, 50920, 55354, 51070, 53430, 50970, 52063, 50804, 53934, 53495, 51258, 63016, 54719, 58081, 54625, 69603, 50799, 73806, 51285, 67751, 51300, 57922, 51300, 54911, 51300, 52632, 51226, 77528, 51552, 56726, 51878, 53752, 51987, 51306, 50417, 51456, 54561, 53738, 51549, 51156, 53515, 55133, 51316, 60689, 53622, 50837, 51302, 53708, 53495, 64044, 51032, 51014, 51456, 53622, 53962, 71023, 51739, 53107, 57398, 51316, 70301, 51032, 53439, 57922, 51196, 53132, 51009, 52689, 51009, 53873, 51009, 54307, 51314, 61803, 68210, 51064, 71442, 50920, 77060, 54456, 50983, 54933, 54435, 54485, 50920, 54926, 51070, 53166, 63770, 78905, 53347, 53495, 51129, 50451, 51032, 66730, 51064, 54781, 51169, 60387, 54059, 51064, 58184, 54625, 51064, 52572, 52909, 59119, 51032, 51145, 50799, 71079, 51585, 53132, 51352, 54911, 51352, 54669, 51352, 52811, 51090, 67625, 51527, 50700, 50343, 52140, 53752, 60292, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 50891, 51302, 52493, 53495, 51306, 50429, 51456, 52909, 50908, 51361, 53515, 53593, 52811, 55130, 52348, 52909, 53115, 52811, 54451, 52100, 53067, 51129, 51572, 54435, 54406, 51032, 52699, 55354, 68445, 50936, 54911, 50860, 53391, 50860, 53686, 50860, 51316, 50808, 50700, 50345, 51174, 69603, 51382, 53934, 53495, 51258, 50453, 58707, 50806, 53391, 50802, 52689, 50802, 53873, 50802, 51549, 50950, 54307, 50972, 51070, 54719, 58081, 54625, 58707, 50811, 67751, 50811, 67751, 50880, 54911, 50811, 51438, 51090, 56726, 52168, 69603, 50799, 68444, 51196, 58707, 51009, 67751, 51009, 54911, 51009, 53054, 51362, 53752, 51987, 51306, 50417, 71023, 51460, 51456, 54561, 63300, 53515, 55133, 51170, 53622, 52670, 63770, 68797, 53708, 53495, 64044, 51563, 50387, 53823, 53622, 53962, 52866, 51406, 53107, 54002, 51549, 51204, 75620, 50821, 61803, 52958, 58707, 51196, 57922, 51009, 54911, 51009, 54669, 51009, 75620, 52097, 50700, 50343, 51314, 50920, 77060, 52587, 51541, 54933, 54435, 54485, 50920, 54926, 67062, 51454, 70649, 51382, 53347, 53495, 71670, 51563, 57500, 54059, 52866, 50828, 77528, 58446, 54625, 51438, 51552, 70649, 50799, 55327, 51285, 53985, 51300, 53391, 51300, 53686, 51300, 52660, 50896, 50700, 50345, 51878, 53752, 60292, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 50891, 51302, 52493, 53495, 51306, 50429, 51563, 53597, 50578, 52909, 53814, 52866, 51421, 53515, 53593, 67751, 51407, 57922, 51407, 57922, 51685, 54911, 51407, 52632, 50961, 51438, 50896, 56726, 52168, 50798, 54538, 51539, 52909, 53115, 52632, 54451, 52100, 53067, 51129, 51572, 54435, 54406, 50920, 55354, 51070, 63078, 51563, 51693, 50449, 51438, 52805, 51549, 51423, 50769, 50299, 50928, 57576, 52586, 53495, 51258, 50453, 60929, 54261, 54719, 57576, 51139, 52291, 54625, 69603, 50799, 68444, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 51758, 51090, 54776, 51148, 53494, 51148, 53557, 51148, 72011, 50918, 59151, 51314, 53752, 69722, 61329, 55138, 51456, 53419, 64706, 52499, 55795, 51170, 54018, 52966, 51032, 52279, 52493, 53495, 51306, 50429, 50947, 52346, 50578, 52909, 53814, 51064, 53065, 53515, 53593, 51758, 50961, 51032, 53690, 52348, 52909, 53115, 69579, 51196, 58707, 51009, 53985, 51009, 52689, 51009, 52887, 50930, 54776, 51148, 53494, 51148, 53557, 51148, 59151, 74744, 52100, 53067, 77060, 50929, 51421, 54435, 67520, 51169, 53325, 50920, 58953, 50929, 67676, 50970, 51351, 69603, 51382, 53934, 53495, 51258, 63016, 54719, 58081, 54625, 69603, 50799, 67751, 51300, 57922, 51300, 57922, 51285, 54911, 51300, 52632, 51362, 56067, 51535, 56335, 51535, 54315, 51535, 56726, 51878, 53752, 51987, 51306, 50417, 71023, 51460, 51456, 54561, 53738, 51549, 51156, 53515, 59013, 51438, 53109, 51549, 50837, 51316, 56386, 53622, 52670, 77528, 69921, 53708, 53495, 64044, 51032, 53277, 50578, 53622, 50928, 51361, 53107, 57398, 51316, 75116, 51032, 54248, 58707, 51196, 53391, 51009, 52689, 51009, 53686, 51009, 53452, 51148, 53557, 51148, 57037, 51148, 51064, 51446, 72011, 51285, 50700, 50345, 52168, 61803, 52958, 50920, 77060, 52587, 51541, 54933, 54435, 54485, 50920, 54926, 70649, 51382, 53347, 53495, 51129, 63016, 54059, 50947, 55217, 54625, 51064, 58724 ]

[ 0, 713, 8787, 25771, 5175, 15229, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 30853, 23, 10, 16906, 352, 226, 22740, 20889, 4, 660, 21979, 8669, 8, 3551, 139, 185, 5, 483, 6, 7513, 30, 10, 6755, 12547, 6, 38668, 11212, 6, 8, 38668, 2236, 6, 32971, 561, 10, 5797, 990, 1506, 9, 32625, 8, 5679, 26709, 34879, 4, 20, 2125, 16, 17407, 30, 10, 16331, 13931, 9, 230, 8, 211, 119, 406, 428, 245, 73, 347, 40286, 6, 2351, 41, 5466, 14, 19101, 26545, 8, 3722, 22845, 41708, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 63133, 51243, 51136, 51381, 50929, 52071, 50947, 51714, 51032, 51151, 54713, 52024, 50416, 51743, 51417, 51656, 51417, 52626, 51417, 53011, 51417, 55724, 51417, 50426, 50986, 52140, 50432, 51136, 51637, 50438, 52402, 51016, 51743, 51016, 52430, 51016, 53941, 51016, 53011, 58833, 52133, 50943, 52402, 50943, 52036, 50943, 53448, 50943, 53941, 79075, 51136, 51753, 50456, 67765, 50459, 50947, 50859, 63133, 51243, 50970, 51381, 50929, 52071, 51064, 51714, 51316, 51151, 53100, 51446, 51743, 51446, 52137, 51446, 53155, 51446, 54296, 51446, 50426, 51317, 52140, 50432, 50970, 51637, 52402, 51060, 52332, 51060, 52430, 51060, 53941, 51060, 53011, 51060, 50439, 51743, 51077, 51615, 51077, 52735, 51077, 54296, 51077, 58209, 51077, 50453, 50970, 51753, 50456, 67765, 50459, 51064, 50859, 63133, 51449, 51136, 52140, 50929, 51945, 50947, 51359, 51032, 51151, 51743, 51077, 51656, 51077, 52626, 51077, 53011, 51077, 55724, 69508, 50986, 67608, 52402, 50889, 51743, 50889, 52430, 50889, 53941, 50889, 53011, 55082, 51743, 50807, 51656, 50807, 52626, 50807, 53011, 50807, 55724, 58031, 51136, 70347, 71257, 50461, 51615, 51274, 51863, 51274, 53976, 51274, 58209, 51274, 54648, 51274, 66474, 51592, 51064, 52335, 51316, 51714, 51438, 52335, 51563, 51714, 50432, 51743, 51173, 51615, 51173, 52626, 51173, 53011, 51173, 58209, 76622, 51615, 51003, 51863, 51003, 53976, 51003, 58209, 51003, 54648, 51003, 50449, 51863, 50889, 52414, 50889, 53718, 50889, 54648, 50889, 54358, 63433, 50970, 62034, 51064, 51008, 62292, 57239, 51316, 50855, 63133, 51449, 51136, 52140, 50929, 51945, 50947, 51359, 51032, 51151, 51711, 51356, 52340, 51356, 53718, 51356, 54648, 51356, 55769, 51356, 62292, 52410, 56496, 54675, 56496, 52030, 50986, 51314, 54650, 66519, 54650, 61147, 51743, 50889, 51656, 50889, 52626, 50889, 53011, 50889, 55724, 55480, 54019, 67976, 51711, 50807, 52340, 50807, 53718, 50807, 54648, 50807, 55769, 52728, 54019, 55680, 51136, 70347, 71257, 56496, 66426, 51615, 50983, 51863, 50983, 53976, 50983, 58209, 50983, 54648, 50983, 54650, 50811, 66474, 51592, 51064, 52335, 51316, 51714, 51438, 52335, 51563, 51714, 50416, 54019, 50817, 54650, 51009, 50431, 52255, 50806, 51711, 50806, 54339, 50806, 55724, 50806, 54648, 52322, 51863, 50889, 52414, 50889, 53718, 50889, 54648, 50889, 54358, 55082, 51743, 50807, 52414, 50807, 54307, 50807, 54358, 50807, 56991, 58031, 50970, 62034, 51064, 71434, 51316, 59700, 51743, 51991, 51838, 51991, 55815, 51991, 55769, 51991, 55851, 51991, 58700, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 50425, 62670, 54851, 50986, 52140, 50430, 64616, 54729, 50970, 51637, 50436, 62303, 51552, 50453, 50970, 50863, 51743, 51255, 51656, 51255, 52626, 51255, 53011, 51255, 53827, 51255, 56848, 57241, 50970, 50959, 50457, 64435, 56924, 50947, 50859, 66265, 59616, 64435, 65175, 51615, 52500, 51863, 52500, 53976, 52500, 58209, 52500, 54648, 52500, 56848, 50809, 58700, 51449, 50970, 52140, 50929, 51945, 51064, 51359, 51316, 79197, 64435, 51407, 50432, 51317, 51314, 50453, 50970, 70347, 52689, 50823, 71257, 50457, 58784, 51045, 50461, 55840, 52149, 50799, 52689, 50802, 58784, 51012, 51504, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 57665, 51132, 60508, 52133, 51036, 51881, 51036, 52036, 51036, 53448, 51036, 53941, 51036, 51402, 52871, 53686, 51021, 56148, 56832, 66245, 52710, 53686, 50893, 56148, 50893, 50986, 52140, 50804, 51739, 64261, 52749, 53873, 50936, 54997, 50865, 50970, 51637, 57665, 70150, 51556, 52841, 53873, 50806, 54997, 53417, 80127, 70981, 54992, 62789, 54707, 53538, 67501, 61841, 54992, 69323, 54707, 63944, 51739, 53532, 50970, 52223, 52955, 53686, 51388, 56148, 51060, 50970, 55999, 52937, 50947, 52189, 50812, 50799, 53873, 50890, 54997, 50809, 51504, 51243, 50970, 51381, 50929, 52071, 51064, 51714, 51316, 51151, 53100, 51696, 51743, 51696, 52137, 51696, 53155, 51696, 54296, 51696, 57665, 51132, 66305, 54992, 50930, 50416, 54707, 58767, 53873, 53241, 54997, 51605, 50791, 64540, 66245, 51620, 51317, 52140, 50804, 51739, 64261, 51628, 50970, 51637, 57665, 50433, 51132, 62922, 79161, 80127, 71694, 67501, 74780, 51739, 53532, 50970, 51753, 50791, 52955, 52689, 50860, 58784, 51138, 50929, 56835, 52937, 51064, 52189, 57614, 51132, 51014, 50799, 52689, 50802, 58784, 50923, 51504, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 52133, 51359, 51881, 51359, 52036, 51359, 53448, 51359, 53941, 51359, 57665, 51402, 52871, 53686, 51805, 59236, 56148, 51033, 51510, 52710, 53686, 51012, 56148, 50911, 50986, 52140, 50804, 51739, 64261, 52749, 53873, 51030, 54997, 50924, 50970, 51637, 57665, 70150, 51556, 52841, 53873, 50923, 54997, 54065, 80127, 70981, 54992, 62789, 54707, 53538, 67501, 61841, 54992, 56160, 54707, 54581, 51739, 53532, 50970, 52223, 64848, 53686, 58954, 56148, 51388, 50970, 55999, 52937, 50947, 52189, 60091, 53873, 50821, 50799, 54997, 50859, 51725, 51243, 50970, 51381, 50929, 52071, 51064, 51714, 51316, 51151, 53100, 51264, 51743, 51264, 52137, 51264, 53155, 51264, 54296, 51264, 57665, 51132, 74947, 54992, 51010, 50416, 54707, 61060, 53873, 52536, 54997, 51605, 50791, 64540, 66245, 51620, 51317, 52140, 50804, 51739, 64261, 51628, 50970, 51637, 57665, 70150, 51556, 79161, 80127, 71694, 67501, 74780, 51739, 53532, 50970, 51753, 50791, 52955, 52689, 50860, 58784, 51021, 50929, 56835, 52937, 51064, 52189, 50800, 50799, 52689, 50802, 58784, 50923, 51504, 51449, 50970, 51518, 50947, 51359, 51032, 51151, 52133, 51696, 51881, 51696, 52036, 51696, 53941, 51696, 53448, 51696, 57665, 70150, 51402, 52871, 53686, 51030, 56148, 55271, 66245, 52710, 53686, 50802, 56148, 55020, 51739, 64261, 52749, 53873, 50936, 54997, 50924, 50986, 51314, 57665, 51132, 62922, 52841, 53873, 50802, 54997, 53960, 80127, 70981, 54992, 56059, 54707, 56832, 67501, 61841, 54992, 56827, 54707, 54780, 51739, 53532, 50970, 51916, 52955, 53686, 51505, 56148, 51286, 50970, 52217, 63295, 50812, 50799, 53873, 50890, 54997, 50809, 50970, 51592, 51064, 52335, 51316, 51714, 51438, 52335, 51563, 51714, 53181, 50895, 53100, 50895, 53100, 51036, 51743, 51036, 52137, 51036, 54296, 50895, 53155, 51036, 54296, 51036, 57665, 51132, 66305, 54992, 50950, 50416, 54707, 58481, 53873, 50821, 54997, 55701, 50419, 53686, 50890, 56148, 68709, 59236, 53873, 51352, 54997, 53174, 51510, 61408, 51739, 64261, 51628, 57665, 50433, 51132, 62922, 79161, 80127, 71694, 67501, 74780, 51739, 53532, 50970, 67141, 52955, 52689, 50860, 58784, 51138, 51064, 61509, 52937, 51316, 52873, 57614, 52133, 51359, 51881, 51359, 52036, 51359, 53448, 51359, 53941, 51359, 50799, 52689, 50802, 58784, 50923, 51504, 51243, 50970, 51391, 50947, 51714, 51032, 51151, 57665, 70150, 51402, 52871, 53686, 50936, 56148, 55271, 66245, 52710, 53686, 50802, 50986, 52140, 50804, 51739, 56998, 56148, 51012, 51532, 52749, 53873, 51030, 54997, 50948, 50970, 51637, 57665, 51132, 62922, 52841, 53873, 50976, 54997, 62003, 80127, 52597, 54992, 51021, 54707, 56832, 67501, 52848, 54992, 51388, 54707, 69405, 51739, 53532, 50970, 52223, 52955, 53686, 75700, 55999, 57303, 56148, 70891, 50947, 52189, 60091, 53100, 51077, 51743, 51077, 52137, 51077, 53155, 51077, 54296, 51077, 50799, 53873, 50821, 54997, 50858, 51504, 51314, 50970, 51709, 50929, 51419 ]

[ 0, 250, 15352, 30054, 8, 19448, 19834, 2125, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 21979, 8669, 6, 6755, 12547, 6, 3459, 9590, 6, 13305, 6, 8, 3459, 8669, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 8757, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 274, 73, 534, 6, 8, 230, 119, 1176, 406, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 56103, 50791, 54968, 51471, 53028, 55229, 51471, 51658, 53989, 79837, 73574, 51159, 51086, 51267, 50899, 51073, 51146, 69556, 58809, 50828, 51214, 51055, 51086, 51267, 50916, 65503, 51290, 51430, 51157, 51755, 54192, 50841, 51086, 51191, 50916, 51191, 50861, 51091, 51086, 51241, 50916, 51391, 50861, 51391, 52206, 51496, 53117, 51141, 51086, 51605, 50916, 52392, 50861, 53241, 50432, 71226, 50839, 52206, 51055, 51086, 51115, 78338, 50861, 51218, 51814, 51189, 51086, 51790, 50916, 51790, 50861, 51452, 50450, 60319, 50828, 51086, 51116, 50916, 51255, 66180, 52206, 51048, 51487, 51159, 51755, 54192, 71807, 51417, 50916, 51397, 50877, 51397, 51247, 51196, 50916, 51077, 67663, 50876, 51336, 51430, 51336, 50900, 51991, 50916, 52392, 50877, 52392, 51658, 54844, 50828, 51247, 51235, 50900, 51238, 50916, 51221, 50877, 51255, 51146, 51267, 50900, 51448, 50916, 51397, 79379, 50450, 60319, 50841, 51247, 51116, 50877, 51238, 79844, 50916, 51267, 51430, 51056, 51755, 54192, 69348, 51241, 50877, 51362, 50973, 51204, 51086, 51419, 70836, 50877, 51351, 51247, 51141, 53117, 51141, 51086, 51991, 50916, 52536, 50877, 52536, 50432, 61904, 50839, 51247, 51235, 51814, 51267, 50871, 51218, 50877, 51343, 50876, 51295, 74720, 50871, 51803, 50877, 51803, 50444, 51146, 52545, 50285, 56160, 58809, 69348, 51124, 79724, 50876, 51238, 51247, 51159, 51430, 51267, 51755, 54192, 50841, 53117, 51141, 51214, 51661, 51086, 51448, 50899, 51448, 50989, 51448, 50899, 51336, 50989, 51183, 50973, 51077, 50899, 52536, 50989, 51991, 50973, 52536, 51658, 54844, 72974, 51238, 50989, 51221, 50973, 50991, 51214, 51055, 51146, 51157, 51086, 51413, 50899, 51562, 50989, 51535, 56357, 58833, 58809, 79837, 79746, 51290, 50989, 51109, 50973, 51073, 51430, 51073, 55678, 51090, 51755, 54192, 50846, 51086, 51294, 50916, 51204, 50861, 51294, 51086, 51241, 50916, 51351, 50861, 51419, 52206, 51189, 53117, 51295, 51086, 52500, 50916, 52392, 50861, 52392, 53302, 51761, 50432, 71226, 50839, 52206, 51204, 51086, 51091, 50916, 51343, 74367, 51814, 51218, 51086, 51452, 50916, 51591, 50861, 51675, 52564, 51496, 50438, 51170, 51129, 50440, 51170, 77060, 51170, 51129, 50443, 51170, 57536, 51170, 51129, 50446, 51170, 63640, 51170, 65589, 51170, 54044, 60319, 56455, 51004, 51086, 51238, 50916, 50991, 70135, 52206, 51566, 51487, 51157, 53191, 50896, 50452, 51170, 63659, 51170, 67521, 51170, 54719, 51170, 72204, 51170, 59506, 51170, 61969, 51170, 50982, 51755, 53989, 56455, 50928, 51430, 51343, 51247, 51661, 50900, 51749, 50916, 51448, 50877, 51397, 50916, 51103, 50877, 51183, 50876, 51077, 50900, 53241, 50916, 52536, 50877, 52536, 55678, 51356, 50416, 51170, 62716, 51170, 73954, 51170, 54183, 51170, 65587, 51170, 56016, 51170, 63026, 51170, 52976, 51170, 50908, 50428, 51170, 58832, 51170, 66284, 51170, 53670, 51170, 59383, 51170, 55799, 51170, 58286, 51170, 50891, 51658, 54192, 55202, 50891, 50900, 51221, 68575, 50877, 51238, 51247, 51055, 51146, 51267, 50900, 51417, 50916, 51749, 50877, 51749, 56357, 50896, 50440, 51170, 56432, 51170, 65672, 51170, 53594, 51170, 59265, 51170, 54914, 51170, 57989, 51170, 52805, 58809, 56233, 50863, 51247, 51235, 50877, 51116, 50876, 51238, 50916, 51157, 51430, 51073, 55678, 51090, 50452, 51170, 56782, 51170, 60570, 51170, 53555, 51170, 57950, 51170, 54600, 51170, 57995, 51170, 50837, 51755, 54192, 56233, 62252, 51134, 50877, 51091, 50973, 51351, 51086, 51542, 50871, 51191, 50877, 51191, 51247, 50983, 53117, 50983, 51086, 53241, 50916, 52536, 50877, 51991, 53302, 51343, 50416, 51170, 56127, 51170, 61732, 51170, 52944, 51170, 55983, 51170, 53109, 51170, 58990, 51170, 52712, 51170, 68564, 51170, 55001, 51170, 60741, 51170, 52818, 71226, 56455, 50829, 51247, 51124, 51814, 63882, 51141, 50877, 51295, 50876, 74886, 51675, 50871, 52015, 50877, 51803, 52564, 51343, 50434, 51170, 54288, 51170, 57405, 51170, 52766, 51170, 63442, 51170, 55262, 51170, 59808, 51170, 52986, 51170, 50834, 51146, 52545, 50285, 50893, 50446, 51170, 54847, 51170, 58078, 51170, 52725, 58809, 55202, 62847, 51116, 50877, 51255, 77115, 51247, 51055, 51430, 51290, 55678, 51016, 50452, 51170, 53922, 51170, 57583, 51170, 52579, 51170, 50820, 51755, 54192, 55202, 50839, 53117, 79449, 52195, 50989, 51661, 50973, 51472, 51086, 51562, 50899, 51562, 50989, 51535, 51214, 51336, 50899, 51336, 50989, 51336, 50973, 51077, 53302, 52097, 50420, 51220, 51749, 51658, 54192, 50841, 50997, 51446, 50899, 51291, 50899, 51285, 50989, 51446, 50989, 52097, 50906, 51291, 50997, 51397, 50899, 51562, 50989, 51562, 51799, 51103, 50989, 51314, 50906, 51244, 50902, 51244, 56357, 51054, 50445, 50861, 50928, 50877, 63491, 50906, 51126, 50448, 50876, 69875, 50902, 50971, 51899, 50828, 55678, 50806, 50451, 50968, 78127, 50931, 60554, 50951, 66663, 50999, 62356, 51081, 55370, 51456, 50949, 56357, 50923, 50457, 51062, 62309, 51146, 57400, 51430, 57867, 51787, 50839, 51755, 51139, 53078, 63279, 52169, 50310, 52363, 50315, 52363, 50287, 51204, 50899, 51685, 50989, 51896, 50973, 52282, 50899, 51445, 50899, 51353, 50989, 51449, 50973, 51445, 56433, 51090, 52399, 79119, 50899, 53130, 50310, 68839, 52169, 50310, 51452, 55618, 51129, 51694, 51406, 52535, 50863, 50899, 60127, 52415, 50315, 68839, 51749, 55678, 60247, 68637, 56544, 52755, 50928, 51214, 51189, 50899, 51218, 50989, 51141, 50973, 50983, 56433, 52311, 53198, 51129, 79321, 53078, 53114, 68637, 52694, 63640, 51236, 52532, 50891, 51899, 51187, 56128, 52790, 50891, 51799, 63891, 51167, 50989, 51354, 50973, 51215, 50989, 51221, 50973, 51124, 50899, 51267, 50989, 51157, 50973, 51109, 50453, 51214, 52643, 58075, 54741, 52532, 50928, 51799, 52567, 50913, 51004, 52759, 50800, 79970, 53078, 50825, 52206, 51189, 50899, 51115, 50871, 51218, 50906, 51218, 50899, 51336, 50871, 51356, 50906, 51527, 50899, 51359, 53812, 50923, 52399, 52694, 75816, 52071, 53812, 54901, 73245, 51694, 51406, 52535, 50891, 50906, 51422, 53812, 55214, 68637, 55303, 52755, 51004, 50899, 63882, 51159, 50906, 51157, 51085, 51496, 53812, 51012, 53198, 50928, 79321, 52502, 50870, 53191, 56209, 66231, 52694, 51004, 50899, 64611, 66044, 77704, 51541, 50871, 51362, 50906, 51091, 52564, 51013, 50447, 51236, 52703, 50982, 51899, 51187, 56128, 52532, 50891, 52206, 75025, 64611, 64066, 64225, 51799, 51754, 68637, 54741, 52373, 50928, 51247, 69266, 51051, 72301, 76075, 55678, 52392, 53341, 51004, 52206, 50800, 79970, 52245, 50863, 50900, 51267, 50916, 71004, 51159, 51247, 70002, 51364, 78338, 50877, 51310, 50916, 52500, 50900, 51359, 52399, 52300, 51258, 55618, 51258, 51694, 51406, 52543, 76962, 73665, 61976, 53961, 68637, 56803, 52755, 75821, 51073, 50916, 70148, 51048, 51247, 69020, 51343, 50916, 51591, 53198, 51258, 51658, 51392, 52245, 53162, 66231, 73853, 50900, 60898, 67089, 68699, 51351, 50447, 51236, 52532, 51129, 51899, 51239, 54763, 52703, 50835, 51799, 77738, 61650, 53131, 50313, 53131, 50313, 51215, 54706, 50828, 51841, 54353, 71226, 54119, 54741, 52790, 51258, 51247, 60692, 51142, 50916, 51142, 61048, 53341, 50908, 51755, 51392, 53078, 63279, 74998, 53131, 50313, 52415, 50282, 51343, 50861, 51189, 50916, 51605, 50877, 53435, 50899, 51445, 52399, 52300, 50982, 50899, 64716, 68506, 65792, 51003, 55618, 50928, 51694, 51187 ]

[ 0, 250, 765, 15855, 8, 5175, 2125, 14, 7630, 6568, 10, 2933, 8, 5679, 26709, 6711, 6, 10686, 13, 822, 50, 177, 2369, 36546, 4, 85, 1575, 10, 20535, 8, 5627, 9428, 12547, 17402, 9, 326, 5638, 18026, 6, 17465, 102, 6, 1076, 560, 31365, 25999, 6, 32909, 6, 8, 17691, 28430, 4, 20, 2214, 16, 11, 381, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23667, 27841, 139, 20889, 9, 29021, 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 ]

[ 50799, 50642, 50816, 72335, 52765, 50816, 51628, 50816, 51724, 50816, 71324, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 56703, 72335, 52765, 50816, 51628, 50816, 51724, 50816, 71324, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 63355, 50807, 52384, 50807, 79116, 53942, 66692, 51620, 77400, 52384, 50807, 51866, 53030, 52765, 50816, 51628, 50816, 51724, 74261, 51702, 50807, 52148, 50807, 54552, 66692, 51757, 51744, 50807, 79116, 53084, 53030, 50800, 63355, 50807, 52384, 50807, 79116, 53942, 66692, 51835, 50816, 51620, 51744, 50807, 79116, 53084, 53030, 51628, 50816, 51724, 74261, 51702, 50807, 52148, 50807, 54552, 53030, 51757, 52039, 50807, 52384, 50807, 55216, 53030, 50800, 63355, 50807, 52384, 50807, 79116, 53942, 66692, 51835, 50816, 51620, 77400, 52384, 50807, 51866, 53030, 51628, 50816, 51724, 74261, 51702, 50807, 52148, 50807, 54552, 66692, 51757, 51744, 50807, 51702, 50807, 52148, 53030, 50800, 63355, 50918, 52384, 50918, 52148, 50918, 55679, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 52298, 50807, 51702, 50807, 79116, 54552, 66692, 51757, 52039, 50807, 79116, 53084, 53030, 50800, 63355, 50807, 52384, 50807, 79116, 55184, 66692, 51835, 50816, 51620, 77400, 52384, 50807, 51866, 53030, 51628, 50816, 51724, 74261, 79116, 53084, 50807, 61438, 66692, 51757, 51744, 50807, 79116, 52178, 53030, 50800, 64996, 50807, 52058, 50807, 52148, 50807, 55679, 66692, 51835, 50816, 51620, 51744, 50807, 52148, 50807, 54006, 53030, 51628, 50816, 51724, 51485, 50983, 51702, 50983, 52488, 50983, 53994, 66692, 71324, 52809, 50816, 51754, 51431, 50795, 52698, 50795, 52148, 52108, 52567, 50816, 50800, 50799, 52298, 50807, 79116, 54552, 66692, 51620, 52039, 50807, 52058, 53030, 51628, 50816, 51724, 51898, 50807, 52058, 50807, 54885, 53030, 51820, 50816, 51757, 52298, 50807, 51702, 50807, 79116, 54552, 53030, 51754, 50816, 50800, 63355, 50918, 52384, 50918, 51866, 50918, 53942, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 51431, 50918, 52384, 50918, 51866, 50918, 53942, 66692, 71324, 50800, 50799, 51898, 50983, 51702, 50983, 53994, 66692, 72335, 52765, 50816, 51628, 52298, 50795, 51866, 52108, 51724, 51898, 50807, 51702, 50807, 53942, 66692, 51757, 52039, 50807, 52384, 53030, 50800, 50799, 51898, 50807, 51702, 50807, 53994, 66692, 51835, 50816, 51620, 52298, 50807, 51866, 53030, 51628, 50816, 51724, 51431, 50918, 52148, 50918, 53942, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 75315, 50983, 52384, 50983, 54552, 66692, 72335, 51628, 51898, 50795, 51702, 52108, 51724, 52039, 50807, 52384, 50807, 53942, 66692, 51820, 50816, 51757, 52334, 50807, 52058, 53030, 51754, 50816, 50800, 50799, 53808, 50918, 51947, 50918, 54552, 66692, 51835, 50816, 72335, 51628, 50816, 51724, 52039, 50918, 52384, 50918, 55216, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 51898, 50983, 51702, 50983, 53994, 66692, 72335, 52765, 50816, 51628, 52298, 50795, 51866, 52108, 51724, 51898, 50807, 51702, 50807, 53942, 66692, 51757, 52039, 50807, 52384, 53030, 50800, 50799, 51898, 50807, 51702, 50807, 55184, 53030, 51835, 50816, 51620, 52298, 50807, 79116, 61438, 53030, 51628, 50816, 51724, 51431, 50983, 52148, 50983, 55679, 53030, 51757, 54552, 53030, 52809, 50816, 51754, 51898, 50795, 51702, 52108, 52567, 50816, 50800, 75315, 50807, 52384, 50807, 53942, 66692, 51620, 77400, 52384, 53030, 51628, 50816, 51724, 52298, 50807, 52058, 50807, 54552, 53030, 51820, 50816, 51757, 74261, 51702, 50807, 55216, 53030, 51754, 50816, 50800, 63355, 50918, 52384, 50918, 53942, 66692, 51835, 50816, 72335, 51628, 50816, 51724, 51431, 50918, 52384, 50918, 53942, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 52384, 50807, 51652, 53030, 51620, 52384, 50807, 51643, 53030, 51628, 50816, 51724, 52058, 50807, 52135, 53030, 51820, 50816, 51757, 51702, 50807, 51633, 53030, 51754, 50816, 50800, 50799, 52384, 50918, 51643, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 52384, 50918, 51643, 66692, 71324, 50800, 50799, 52384, 50807, 79116, 53942, 50918, 51784, 53030, 51620, 52384, 50807, 79116, 51784, 53030, 52765, 50816, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54552, 50918, 51900, 53030, 51757, 79116, 53084, 50807, 52285, 53030, 50800, 50799, 52384, 50807, 79116, 53942, 50918, 51784, 53030, 51835, 50816, 51620, 79116, 53084, 50807, 52285, 53030, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54552, 50807, 51900, 53030, 51757, 52384, 50807, 55216, 50807, 52278, 53030, 50800, 50799, 52384, 50807, 79116, 53942, 50918, 51784, 53030, 51835, 50816, 51620, 52384, 50807, 79116, 51784, 53030, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54552, 50918, 51900, 53030, 51757, 51702, 50807, 52148, 50807, 52285, 53030, 50800, 50799, 52384, 50918, 52148, 50918, 55679, 50918, 51784, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 51702, 50807, 79116, 54552, 50918, 52824, 53030, 51757, 79116, 53084, 50807, 52278, 53030, 50800, 50799, 52384, 50807, 79116, 55184, 50918, 51784, 53030, 51835, 50816, 51620, 52384, 50807, 79116, 51784, 53030, 51628, 50816, 51724, 79116, 53084, 50807, 61438, 50918, 51900, 53030, 51757, 79116, 52178, 50807, 52285, 53030, 50800, 50799, 52058, 50807, 52148, 50807, 55679, 50918, 51802, 53030, 51835, 50816, 51620, 52148, 50807, 54006, 50807, 52285, 53030, 51628, 50816, 51724, 51702, 50983, 52488, 50983, 53994, 50918, 51900, 72750, 71324, 52809, 50816, 51754, 52698, 50795, 52148, 50795, 51784, 52108, 52567, 50816, 50800, 50799, 51702, 50807, 53084, 50807, 54552, 50918, 52824, 53030, 51620, 51702, 50807, 53084, 50807, 52278, 53030, 51628, 50816, 51724, 51702, 50807, 52148, 50807, 54885, 50807, 52355, 53030, 51820, 50816, 51757, 51702, 50807, 79116, 54552, 50807, 52824, 53030, 51754, 50816, 50800, 50799, 52384, 50918, 51866, 50918, 53942, 50918, 51784, 66692, 72335, 52765, 50816, 51628, 50816, 52262, 50816, 51724, 52384, 50918, 51866, 50918, 53942, 50918, 51784, 66692, 71324, 50800, 50799, 51702, 50983, 53994, 50918, 52355, 72750, 72335, 52765, 50816, 51628, 51866, 50795, 52824, 52108, 51724, 51702, 50807, 53942, 50918, 52355, 53030, 51757, 52384, 50807, 52278, 53030, 50800, 50799, 51702, 50807, 53994, 50918, 52355, 53030, 51835, 50816, 51620, 79116, 52824, 53030, 51628, 50816, 51724, 52148, 50918, 53942, 50918, 51784, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 52384, 50983, 54552, 50918, 52278, 72750, 72335, 51628, 51702, 50795, 52355, 52108, 51724, 52384, 50807, 53942, 50918, 52278, 53030, 51820, 50816, 51757, 52058, 50807, 52714, 53030, 51754, 50816, 50800, 50799, 51947, 50918, 54552, 50918, 54246, 66692, 51835, 50816, 72335, 51628, 50816, 51724, 52384, 50918, 55216, 50918, 52278, 66692, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 50799, 51702, 50983, 53994, 50918, 52355, 72750, 72335, 52765, 50816, 51628, 51866, 50795, 52824, 52108, 51724, 51702, 50807, 53942, 50918, 52355, 53030, 51757, 52384, 50807, 52278, 53030, 50800, 50799, 51702, 50807, 55184, 50807, 52355, 53030, 51835, 50816, 51620, 79116, 61438, 50807, 52824, 53030, 51628, 50816, 51724, 52148, 50983, 55679 ]

[ 0, 250, 2635, 6, 5679, 26709, 5175, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 20, 13305, 8, 6755, 12547, 310, 5, 1049, 34879, 6, 7513, 30, 38668, 18569, 8, 10, 20535, 483, 4, 23973, 11, 274, 538, 8, 155, 73, 306, 86, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 274, 6, 1918, 6, 274, 6, 1918, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50620, 53038, 50806, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 53038, 50806, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51435, 50806, 55796, 50893, 52133, 57816, 51876, 50806, 51578, 50806, 57756, 50893, 54720, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50806, 66789, 50893, 52133, 57816, 51876, 50806, 51948, 50806, 59601, 50893, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50896, 66789, 51016, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 52746, 50806, 51516, 51585, 56336, 51941, 57166, 50923, 59297, 51677, 50420, 51706, 50806, 53181, 57078, 51561, 50806, 52402, 57067, 51144, 50806, 51743, 58395, 75916, 51615, 57816, 51561, 50806, 52402, 50923, 51034, 54733, 50806, 51516, 50896, 56336, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 51639, 50896, 56679, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51153, 50896, 53465, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 53038, 50806, 51435, 51585, 55796, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 53038, 50806, 51275, 51196, 53679, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51435, 50806, 55796, 50893, 52133, 57816, 51876, 50806, 51578, 50806, 57756, 50893, 54720, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50806, 66789, 50893, 52133, 57816, 51876, 50806, 51948, 50806, 59601, 50893, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 53038, 50806, 51948, 51196, 59601, 51356, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 51837, 50896, 66789, 51016, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 52176, 50806, 51578, 50896, 57756, 51016, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51435, 50896, 55796, 51016, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51275, 50896, 53679, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 52746, 50806, 51516, 51585, 56336, 51941, 57166, 50923, 59297, 51677, 50420, 51706, 50806, 53181, 57078, 51561, 50806, 52402, 57067, 51144, 50806, 51743, 58395, 75916, 51615, 57816, 51561, 50806, 52402, 50923, 51034, 54733, 50806, 51516, 50896, 56336, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 51639, 50896, 56679, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51153, 50896, 53465, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 53038, 50806, 51435, 51585, 55796, 51941, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 53038, 50806, 51275, 51585, 53679, 51941, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51280, 50806, 52133, 57067, 71671, 51881, 58395, 51280, 50806, 52133, 57816, 51876, 50806, 54720, 50923, 51034, 51869, 50806, 51275, 51196, 51516, 51196, 51948, 51196, 53679, 51356, 56336, 51356, 59601, 51356, 53817, 50923, 59042, 51677, 50420, 71671, 51881, 57078, 75916, 51615, 57067, 51119, 50806, 51656, 58395, 51308, 50806, 51275, 50806, 51516, 50806, 51948, 50806, 53679, 50893, 56336, 50893, 59601, 50893, 51863, 57816, 75916, 51837, 50806, 66789, 50893, 51615, 50923, 51034, 52176, 50806, 51275, 51196, 51435, 51196, 51578, 51196, 53679, 51356, 55796, 51356, 57756, 51356, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51435, 50896, 55796, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 54733, 50806, 51948, 50896, 51153, 51585, 51639, 51585, 53465, 51941, 56679, 51941, 59601, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 52381, 50896, 64012, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51516, 50896, 56336, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 53038, 50806, 51308, 51585, 51275, 51585, 51435, 51585, 53361, 51941, 53679, 51941, 55796, 51941, 58366, 50923, 54759, 51677, 50420, 51876, 50806, 54720, 57078, 51706, 50806, 53181, 57067, 51280, 50806, 52133, 58395, 71671, 51881, 57816, 51706, 50806, 53181, 50923, 51034, 51869, 50806, 51275, 51196, 51516, 51196, 51948, 51196, 53679, 51356, 56336, 51356, 59601, 51356, 53817, 50923, 59042, 51677, 50420, 71671, 51881, 57078, 75916, 51615, 57067, 51119, 50806, 51656, 58395, 51308, 50806, 51275, 50806, 51516, 50806, 51948, 50806, 53679, 50893, 56336, 50893, 59601, 50893, 51863, 57816, 75916, 51837, 50806, 66789, 50893, 51615, 50923, 51034, 52176, 50806, 51275, 51196, 51435, 51196, 51578, 51196, 53679, 51356, 55796, 51356, 57756, 51356, 55430, 50923, 54245, 51677, 50420, 51708, 50806, 53389, 57078, 71671, 51881, 57067, 51144, 50806, 51743, 58395, 71671, 51435, 50896, 55796, 51016, 51881, 57816, 52176, 50806, 55430, 50923, 51034, 54733, 50806, 51948, 50896, 51153, 51585, 51639, 51585, 53465, 51941, 56679, 51941, 59601, 51016, 66264, 50923, 58859, 51677, 50420, 52746, 50806, 57166, 57078, 52477, 50806, 52381, 50896, 64012, 51016, 55148, 57067, 51280, 50806, 52133, 58395, 51561, 50806, 51516, 50896, 56336, 51016, 52402, 57816, 51280, 50806, 52133, 50923, 51034, 56686, 50806, 52381, 50896, 51308, 51196, 51777, 51196, 53361, 51356, 55340, 51356, 64012, 51016, 73405, 50923, 57832, 51677, 50420, 53646, 50806, 60515, 57078, 53483, 50806, 52070, 50896, 59255, 51016, 57633, 57067, 51706, 50806, 53181, 58395, 51847, 50806, 51435, 50896, 55796, 51016, 53100, 57816, 51706, 50806, 53181, 50923, 51034, 52785, 50806, 51119, 51585, 51153, 51585, 51435, 51585, 52684, 51941, 53465, 51941, 55796 ]

[ 0, 250, 19448, 5175, 19834, 4246, 30062, 620, 7085, 12280, 642, 6, 13305, 6, 6755, 12547, 6, 8, 30587, 29589, 4, 20, 2214, 16, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 1510, 741, 1685, 4, 20, 15352, 30054, 15229, 7630, 6568, 10, 5679, 26709, 8, 1619, 12, 3341, 5466, 6, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 53028, 75011, 50841, 51570, 56866, 52371, 50908, 50440, 52371, 57502, 52371, 61118, 52371, 63938, 52371, 53027, 52371, 50825, 73683, 51448, 50770, 50326, 51562, 50445, 52371, 59279, 52371, 54368, 52371, 61082, 52371, 56038, 52371, 53068, 52371, 59325, 60131, 50839, 61534, 58517, 52371, 50828, 64091, 64125, 52371, 50846, 55228, 54363, 52371, 50818, 55039, 57297, 52371, 50884, 57215, 50828, 56837, 57583, 52371, 50884, 53472, 50829, 53748, 52579, 52371, 50895, 55052, 50834, 52650, 59036, 52371, 50883, 52890, 50834, 54029, 59552, 52371, 50961, 54361, 50829, 52697, 54991, 52371, 50949, 53260, 59933, 52371, 51031, 54895, 50834, 53039, 57335, 52371, 50817, 53436, 50829, 52288, 51585, 52371, 50817, 51600, 51592, 51384, 51353, 55831, 52282, 57041, 51585, 53956, 68801, 51294, 51206, 59260, 50809, 55554, 50835, 54723, 53223, 66453, 50880, 51622, 50893, 51478, 55341, 68446, 50840, 52294, 50917, 51770, 56504, 50749, 50346, 50890, 53964, 50879, 52400, 55122, 66453, 78425, 50983, 51478, 50983, 50446, 70164, 51242, 50447, 60131, 51328, 50448, 55228, 50892, 50449, 57215, 53562, 51228, 51016, 51266, 50943, 61155, 51345, 57041, 51112, 53956, 51157, 52615, 51104, 75957, 53110, 50841, 53472, 50987, 54798, 51941, 52371, 50817, 51600, 51353, 51384, 51353, 55831, 51714, 57041, 51945, 53956, 52069, 51728, 51225, 56717, 53110, 52981, 66453, 50880, 63013, 51478, 52247, 68446, 50890, 52294, 50865, 51770, 54725, 50749, 50346, 50890, 52294, 50828, 53964, 50917, 51770, 50828, 52400, 56282, 66453, 50890, 51622, 51141, 51478, 72758, 51289, 50835, 73683, 51448, 50770, 50326, 51562, 50447, 51289, 54411, 51069, 51016, 51728, 51104, 69628, 52995, 50828, 52563, 51469, 52405, 51177, 51558, 51939, 51182, 51151, 50749, 50346, 50880, 55831, 52069, 54240, 51307, 55837, 51264, 53964, 50806, 52400, 52090, 54984, 58888, 53110, 53576, 51733, 50955, 68446, 50836, 52294, 50925, 51770, 57499, 51733, 51121, 68446, 50887, 52294, 50893, 51770, 55214, 51384, 50942, 66453, 50859, 51622, 50938, 51478, 57581, 51384, 50914, 66453, 50821, 51622, 51056, 51478, 70147, 51558, 51162, 69492, 50890, 51854, 50893, 51746, 55764, 51384, 50849, 66453, 50887, 51622, 50910, 51478, 50910, 53400, 51183, 52405, 50865, 51284, 51677, 50749, 50346, 50880, 55831, 51115, 54240, 51189, 55837, 51218, 52294, 50828, 53964, 50879, 51770, 50828, 52400, 50879, 51206, 53223, 51733, 50878, 68446, 50809, 52294, 50937, 51770, 57817, 51733, 50849, 68446, 50880, 79228, 51770, 51736, 51384, 50833, 66453, 50890, 51622, 74498, 53402, 51011, 51447, 51384, 50943, 66453, 50880, 61155, 53478, 53956, 53413, 51622, 50889, 51478, 57038, 65004, 64852, 50440, 50856, 57502, 50856, 68937, 50856, 53384, 50856, 59892, 70291, 56576, 55721, 50856, 63612, 50856, 57855, 50856, 52846, 51733, 51449, 68446, 50839, 52294, 51359, 51770, 51359, 50856, 69232, 50856, 69909, 50856, 58207, 50856, 62476, 50856, 63543, 50856, 54038, 50856, 62662, 64852, 54820, 56013, 64852, 50460, 50856, 59119, 70291, 50796, 50447, 52172, 52116, 53625, 50975, 50459, 55626, 50811, 71862, 51790, 51944, 51116, 51440, 51221, 53625, 50802, 50749, 50346, 51174, 50960, 52519, 50420, 51614, 50874, 52833, 50824, 66453, 50978, 50947, 65933, 51944, 51124, 51440, 51178, 50749, 50346, 51254, 51788, 53486, 50432, 51614, 50864, 66453, 50977, 50947, 71552, 51944, 51060, 51440, 50873, 50749, 50346, 50838, 50960, 62523, 51614, 50837, 52833, 50817, 66453, 50878, 50947, 52460, 50447, 52833, 52768, 56922, 51110, 51660, 51100, 51440, 51233, 53625, 50993, 50749, 50346, 51254, 51317, 52063, 50456, 52435, 50864, 71023, 51123, 50947, 61736, 53979, 50817, 50799, 58748, 51790, 51944, 51178, 51440, 51337, 52833, 50824, 50749, 50346, 51174, 51311, 52519, 50420, 51614, 50912, 66453, 50937, 51078, 65933, 51944, 51121, 51440, 51121, 50749, 50346, 50905, 51067, 52916, 50432, 51614, 50874, 66453, 50938, 51078, 58087, 51944, 51100, 51440, 50849, 50749, 50346, 50974, 51311, 62523, 51614, 50844, 66453, 51210, 51078, 52482, 50450, 56090, 51194, 51944, 50795, 51440, 50924, 55499, 50993, 50749, 50346, 51174, 51131, 62524, 51614, 50886, 66453, 50955, 51078, 62065, 61778, 50817, 50799, 57848, 51419, 51434, 51238, 51808, 51173, 61778, 50811, 50749, 50351, 51166, 51207, 52519, 50417, 55499, 52244, 51614, 50827, 53610, 51300, 66453, 50977, 51311, 65933, 51434, 51100, 51808, 50938, 50749, 50351, 50849, 50960, 52441, 50432, 51614, 50834, 66453, 51006, 51311, 52482, 50438, 50656, 50284, 51448, 51660, 50808, 51434, 51095, 51808, 50976, 50749, 50351, 50805, 51574, 52519, 50444, 51660, 50912, 53610, 50803, 66453, 51058, 50960, 51470, 50448, 55626, 52768, 51660, 50812, 51434, 50805, 51440, 50849, 51808, 50805, 50749, 50349, 50866, 50929, 52407, 50451, 53610, 52884, 51660, 50837, 55499, 50803, 66453, 51254, 50960, 52482, 50799, 56090, 51742, 51660, 51203, 51440, 51534, 68446, 51166, 51131, 52519, 50415, 53625, 57214, 52435, 50874, 71023, 50978, 51317, 65933, 51660, 51043, 51440, 51423, 68446, 51079, 50998, 53486, 50432, 52435, 50844, 71023, 50845, 51317, 51703, 50438, 51660, 50879, 51440, 50987, 68446, 51470, 51131, 52407, 50444, 52435, 50825, 71023, 61554, 51660, 50834, 52172, 52768, 56922, 50980, 51660, 50980, 51440, 51345, 51213, 51016, 53625, 50975, 68446, 51470, 58230, 51219, 51013, 51288, 51241, 78391, 52435, 50844, 71023, 56707, 57661, 55626, 50817, 71862, 51790, 51944, 51116, 51440, 51221, 50927, 51241, 51491, 51677, 51107, 51293, 55626, 50811, 50749, 50346, 72494, 74120, 50884, 50960, 52460, 50417, 55626, 61993, 53625, 53213, 51614, 50874, 66453, 50978, 50947, 70145, 52833, 51300, 50426, 51944, 51124, 51440, 51178, 50749, 50346, 51254, 58246, 50908, 51788, 52441, 50432, 51614, 50864, 50927, 50841, 66453, 61221, 52223, 50884, 50947, 56006, 51944, 51060, 51440, 50873, 67361, 50749, 50346, 53656, 51864, 50890, 50960, 57043, 51614, 50837, 66453, 50878, 51983, 50947, 51365, 50446, 52833, 52568, 56922, 51110, 51660, 51100, 51440, 51233, 51228, 50889, 51301, 50914, 53625, 50975, 50749, 50346, 51254, 58246, 50840, 51317, 51365, 50456, 52435, 50864, 71023, 59251, 51128, 50947, 56047, 53979, 50811, 50799, 58748, 51790, 51944, 51178, 51440, 51337, 51205, 51091, 51491, 51359, 51107, 52121, 52833, 51029, 50749, 50346, 72494, 52207, 50855, 51311, 52482, 50420, 51614, 50912, 66453, 50937, 52622, 51078, 56323, 51944, 51121, 51440, 51121, 50749, 50346, 50905, 62418, 50834, 51067, 52519, 50432, 51614, 50874, 51205, 50836, 66453, 60075, 51750, 50890, 51078, 56006, 51944, 51100, 51440, 50849, 51205, 51048, 50749, 50346, 57685, 52207, 50890, 51311, 57043, 51614, 50844, 66453, 51210, 51842, 51078, 71940, 56090, 51194, 51944, 50795, 51440, 50924, 51069, 51159, 55499, 50811, 50749, 50346, 51174, 62418, 50890, 51131, 50984, 50454, 55499, 52163, 51614, 50886, 66453, 50955, 53842, 51078, 61736, 61778, 50817, 50799, 57848, 51419, 51434, 51238, 51808, 51173, 51443, 51103, 74973, 61778, 50817, 50749, 50351, 51166, 62113, 50836, 51207, 52048, 50417, 61778, 61792, 55499, 53213, 51614, 50827, 53610, 51300, 66453, 50977, 51983, 51311, 55070, 51434, 51100, 51808, 50938, 50749, 50351, 50849, 58246, 50825, 50960, 52482, 50432, 51614, 50834, 66453, 62285, 51833, 50890, 51311, 69406, 50656, 50284, 51448, 51660, 50808, 51434, 51095, 51808, 50976 ]

[ 0, 250, 2635, 12, 20764, 3495, 1011, 625, 19, 10, 2842, 9, 3152, 6, 42, 657, 2214, 16, 278, 11, 5, 762, 9, 83, 538, 8, 1575, 10, 204, 73, 306, 86, 6543, 4, 20, 13305, 8, 6755, 12547, 185, 5, 483, 6, 7513, 30, 21979, 9590, 6, 3459, 8669, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 1144, 26016, 5466, 4, 20, 33215, 16739, 25935, 1626, 227, 211, 8, 83, 1328, 5, 2125, 6, 1271, 7, 63, 32693, 16426, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50416, 51026, 51101, 50899, 51111, 50877, 50811, 50902, 51072, 54928, 50417, 50973, 50917, 50422, 50877, 71355, 50861, 52675, 50972, 50434, 51120, 51397, 51027, 51417, 50916, 62125, 51446, 50435, 50989, 51477, 50440, 56644, 50452, 54928, 51809, 51026, 51215, 50899, 51505, 50877, 50811, 50902, 51072, 54928, 50418, 50973, 51138, 50422, 50877, 63022, 50861, 51239, 50972, 50434, 51120, 51318, 51027, 51218, 50916, 53819, 50313, 50983, 50435, 50989, 51115, 50440, 56644, 50452, 52066, 51809, 51085, 51932, 51026, 50993, 50899, 75892, 51072, 54928, 50418, 50916, 50978, 63715, 63022, 50900, 51179, 50972, 50434, 51214, 52512, 51120, 51356, 51027, 67587, 51029, 50436, 51086, 51112, 50440, 56644, 50446, 51027, 50911, 50452, 51026, 51060, 54928, 50459, 51279, 52282, 50460, 51120, 51675, 59130, 51896, 50415, 51027, 51896, 50416, 50899, 77229, 51174, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 51026, 52059, 50899, 51797, 50877, 77360, 51162, 54928, 50417, 50973, 50978, 50422, 50877, 51058, 50428, 50861, 52348, 50972, 50433, 51027, 54557, 50916, 59992, 51120, 54532, 50877, 51397, 50435, 50989, 51318, 50440, 56644, 50452, 54928, 51601, 51026, 51043, 50899, 51110, 50877, 59926, 51056, 50416, 54928, 50417, 50973, 74506, 50877, 50901, 50428, 50861, 53340, 50972, 50433, 51120, 51397, 51027, 51295, 50916, 61768, 51446, 50435, 50989, 51283, 50440, 56644, 50452, 54928, 51601, 50899, 61508, 51253, 50416, 51085, 51177, 51026, 53021, 51051, 50417, 50916, 51142, 63715, 51432, 50428, 50900, 51464, 51481, 50434, 51214, 51295, 51120, 51965, 51027, 74336, 51189, 50435, 51086, 51267, 50440, 56644, 50446, 51027, 80051, 51026, 64732, 54928, 51601, 51176, 50828, 51040, 51422, 50416, 51966, 52140, 51360, 53866, 50997, 51627, 54928, 50428, 56644, 50435, 51176, 52192, 50440, 51378, 51852, 56644, 50452, 54928, 51809, 50989, 56599, 51324, 52062, 51378, 52335, 51086, 51714, 50973, 52062, 50791, 51174, 50428, 56644, 50440, 51279, 51496, 51027, 51295, 50916, 72317, 51212, 51028, 51212, 56644, 50452, 77925, 50877, 51212, 51028, 53021, 75574, 50916, 50908, 51809, 51026, 51542, 69308, 68062, 50973, 62806, 51174, 63715, 52794, 50428, 50899, 62614, 52014, 50315, 53538, 50972, 50434, 50916, 58855, 51120, 51047, 51027, 51562, 50899, 62159, 51157, 50877, 51227, 50440, 56644, 64118, 62849, 50899, 53096, 50452, 50916, 67536, 51331, 75635, 50989, 57459, 50877, 50895, 51809, 51027, 51745, 50916, 77439, 51158, 51028, 52201, 51174, 50422, 64385, 50428, 50916, 61768, 52035, 50317, 52715, 50972, 50440, 51027, 51419, 50899, 69538, 51095, 50973, 51110, 56644, 64118, 52134, 50452, 50899, 50812, 66088, 50973, 51158, 52066, 50458, 50916, 57498, 51120, 51742, 51027, 51675, 50899, 51036, 50989, 51264, 50877, 51696, 51809, 50791, 51174, 50428, 56644, 50440, 56644, 50452, 51120, 51079, 54928, 50458, 51360, 50892, 51809, 51324, 73641, 73446, 51423, 50973, 60596, 51174, 50428, 50899, 62838, 58654, 53960, 50972, 50440, 51027, 51241, 50916, 51173, 50877, 51158, 51028, 51100, 56644, 50452, 50916, 51121, 50877, 72454, 51173, 54928, 50458, 51027, 50863, 51809, 51026, 51218, 50899, 71644, 51286, 50973, 62201, 51174, 63715, 79499, 69505, 50861, 64535, 51194, 56644, 50434, 50916, 59921, 51120, 51749, 51027, 51448, 50899, 51095, 50989, 51413, 50877, 51291, 50902, 51413, 50440, 56644, 50449, 50899, 55177, 50452, 54928, 51809, 51279, 51364, 51027, 51204, 74656, 50877, 51286, 51028, 59218, 51174, 50422, 50916, 51129, 50428, 50916, 56036, 72454, 55043, 50972, 50434, 51027, 50928, 50440, 51279, 51362, 51027, 51233, 60509, 50861, 51215, 50973, 51095, 56644, 64118, 51258, 50452, 74654, 50861, 52434, 50315, 52201, 75574, 50916, 56842, 51120, 51714, 51027, 52071, 50899, 51605, 50989, 51945, 50877, 51894, 50902, 52392, 51809, 54928, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 51120, 51212, 50899, 51212, 50916, 56135, 53194, 50315, 51012, 51389, 51009, 54928, 50425, 51120, 51199, 50899, 74471, 75842, 51157, 50973, 51112, 50428, 56644, 50440, 51120, 51878, 51027, 51218, 50899, 68036, 61817, 63402, 51364, 51389, 51413, 56644, 50452, 50899, 74924, 50976, 50877, 50976, 52066, 51809, 51120, 51242, 50916, 51111, 50861, 51158, 50973, 51158, 51389, 51116, 54928, 50425, 51026, 51267, 50899, 57631, 66154, 51013, 52078, 51241, 50428, 56644, 50437, 51214, 50808, 50440, 51120, 51446, 50899, 74972, 51290, 50877, 51566, 51389, 51446, 56644, 50452, 51027, 53693, 50306, 50827, 50989, 54848, 50877, 51412, 54928, 50458, 50899, 58449, 51027, 50837, 51809, 51120, 51562, 50916, 54828, 60452, 50911, 51389, 77580, 51174, 50425, 50916, 65022, 51290, 50973, 51290, 50428, 56644, 50440, 51120, 51310, 50899, 68036, 57543, 64424, 51364, 51389, 51413, 56644, 50452, 50899, 70716, 51505, 50877, 51158, 52066, 50458, 50899, 61969, 51120, 50891, 51809, 51120, 51008, 70489, 76326, 50973, 50948, 51389, 51423, 50791, 51174, 50425, 51026, 53295, 50899, 54834, 50861, 54834, 50973, 54834, 52078, 51353, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 50791, 51174, 50428, 56644, 50440, 56644, 50452, 54928, 51809, 50791, 51174, 50428, 56644, 50439, 51357, 63510, 51488, 65354, 51600, 59519, 50440, 51966, 51295, 51378, 51364, 50989, 50897, 50973, 52370, 50317, 53275, 50322, 51030, 53262, 51009, 56644, 50443, 53076, 79295, 51924, 51221, 50449, 51590, 50844, 50452, 51547, 50854, 50973, 50976, 51028, 53936, 50322, 51012, 52066, 50455, 51590, 57459, 51674, 51121, 50989, 51306, 51809, 51547, 51110, 51165, 61307, 51378, 52297, 50310, 69862, 50976, 51028, 51101, 51114, 50865, 53262, 77229, 51174, 50422, 50989, 67726, 51674, 50914, 50428, 50989, 62406, 67797, 52201, 50972, 50431, 51378, 53106, 50434, 50989, 51258, 50439, 51107, 65825, 51357, 59519, 50440, 51086, 51894, 50899, 50952, 50989, 51158, 50973, 50893, 51668, 51009, 56644, 50446, 51390, 69584, 65589, 51924, 50893, 50452, 50899, 79619, 50976, 50973, 51331, 51051, 50455, 51390, 63105, 51924, 50808, 51266, 60150, 50899, 50904, 51809, 51924, 50893, 51600, 60667, 50306, 51033, 50989, 50975, 50973, 50976, 55781, 51300, 54928, 50422, 51390, 62649, 52134, 50428, 51107, 65278, 50899, 78747, 64726, 50974, 51248, 50396, 50434, 50899, 56305, 51668, 65833, 51266, 58306, 50440, 51113, 53678, 51027, 51661, 50916, 63217, 57129, 50860, 53240, 51300, 56644, 50446, 51209, 51127, 50916, 51000, 50452, 50916, 65181, 50976, 50902, 54589, 51051, 50457, 51284, 51737, 51930, 66460, 50916, 50836, 51984, 51045, 51601, 51488, 53055, 50416, 51279, 51029, 51027, 51029, 50916, 50882, 68165, 51028, 50976, 51216, 57838, 51174, 50422, 63077, 50425, 51209, 50943, 50428, 50916, 75556, 50976, 51028, 54589, 50972, 50434, 50916, 57927, 51107, 58306, 51600, 58306, 50440, 51120, 51894, 51027, 51264, 50899, 62119, 51505, 50877, 60446, 76574, 51795, 56644, 50446, 51322, 65758, 50974, 50452, 51366, 58548, 51004, 50989, 65274, 70105, 51138, 54928, 50458, 51322, 61566, 51328, 51809, 51366, 51141, 51883, 62119, 51286, 50877, 50976, 50902, 66363, 51174, 50419, 53148, 59236, 51699, 58026, 50899, 50805, 50424, 51883, 56998, 51887, 51010, 50428, 53148, 62119, 51483, 68165, 50902, 55188, 50972, 50430, 52830, 59009, 52371, 56861, 51322, 50942, 50899, 50817, 51389, 62657, 52830, 61109, 51984, 57149, 53148, 53055, 51357, 52011, 50440, 51378, 50983, 50989 ]

[ 0, 250, 765, 37903, 9, 41, 20425, 5175, 1349, 4246, 10, 11739, 9, 21072, 6, 2020, 3548, 6, 31391, 1672, 9590, 6, 38668, 9590, 6, 8, 5730, 2342, 4467, 6, 2351, 10, 15352, 30054, 8, 3366, 219, 5466, 19, 10, 11602, 9, 11299, 27456, 6, 278, 11, 10, 1769, 20889, 8, 163, 3694, 762, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51181, 50869, 50563, 55047, 51044, 71179, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 55280, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 55280, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 55280, 53440, 52432, 52505, 66797, 54147, 53423, 54140, 52465, 52437, 51181, 50869, 50563, 55047, 55280, 53764, 52209, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 51181, 50869, 50563, 55047, 51044, 53905, 50843, 52210, 52505, 66797, 54147, 53641, 54140, 52465, 52396, 51181, 50869, 50563, 55047, 51044, 53545, 50843, 52349, 52505, 66797, 54147, 53902, 54580, 50379, 61440, 52465, 50818, 53447, 50869, 50563, 55047, 52572, 71746, 50818, 54519, 50359, 50963, 52432, 52505, 66797, 54518, 50359, 50958, 53423, 54140, 54835, 59075, 52437, 51181, 50869, 50563, 55047, 52572, 59075, 54013, 50804, 73802, 52209, 52505, 66797, 54518, 50361, 50958, 53593, 51525, 50376, 56900, 54835, 65160, 52565, 51181, 50869, 50563, 55047, 52572, 65160, 50818, 53012, 75792, 52210, 52505, 66797, 54518, 79348, 53641, 54140, 54835, 56402, 52396, 51181, 50869, 50563, 55047, 52572, 56402, 50818, 53061, 64972, 52349, 52505, 66797, 54518, 68255, 53902, 54580, 50379, 61440, 54835, 54412, 50818, 53447, 50869, 50563, 55047, 52572, 54412, 50818, 54519, 62652, 52432, 52505, 66797, 54518, 63195, 53423, 54140, 54835, 53796, 52437, 51181, 50869, 50563, 55047, 52572, 53796, 54013, 50804, 58557, 52209, 52505, 66797, 54518, 58820, 53593, 51525, 50376, 56900, 54835, 52748, 52565, 51181, 50869, 50563, 55047, 52572, 52748, 50818, 53012, 59773, 52210, 52505, 66797, 54518, 60642, 53641, 54140, 54835, 52465, 52396, 51181, 50869, 50563, 55047, 52572, 52465, 50818, 53061, 58810, 52349, 52505, 66797, 54518, 56634, 53902, 54580, 50379, 61440, 54835, 52348, 50818, 53447, 50869, 50563, 55047, 52572, 52348, 50818, 54519, 57526, 52432, 52505, 66797, 54518, 55623, 53423, 54140, 54835, 52223, 52437, 51181, 50869, 50563, 55047, 52572, 51916, 54013, 50804, 55630, 52209, 52505, 66797, 54518, 54778, 53593, 51525, 50376, 56900, 54835, 51833, 52565, 51181, 50869, 50563, 55047, 52572, 51833, 50818, 53012, 54640, 52210, 52505, 66797, 54518, 54147, 53641, 54140, 54835, 51750, 52396, 51181, 50869, 50563, 55047, 52572, 51539, 50818, 53061, 53944, 52349, 52505, 66797, 54518, 55033, 53902, 54580, 50379, 61440, 54835, 51464, 50818, 53447, 50869, 50563, 55047, 52572, 51464, 50818, 54519, 53833, 52432, 52505, 66797, 54518, 53270, 53423, 54140, 54835, 51437, 52437, 51181, 50869, 50563, 55047, 52572, 51467, 54013, 50804, 53434, 52209, 52505, 66797, 54518, 54726, 53593, 51525, 50376, 56900, 54835, 51406, 52565, 51181, 50869, 50563, 55047, 52572, 51406, 50818, 53012, 54119, 52210, 52505, 66797, 54518, 53708, 53641, 54140, 54835, 51187, 52396, 51181, 50869, 50563, 55047, 52572, 51239, 50818, 53061, 53473, 52349, 52505, 66797, 54518, 60079, 54124, 53902, 54580, 50379, 61440, 54835, 55280, 50799, 52162, 51128, 51181, 50869, 50563, 55047, 51044, 53837, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 54639, 51997, 52847, 52432, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53423, 51707, 50809, 51997, 50374, 56900, 52465, 52437, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 54013, 51707, 57323, 52209, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53593, 51525, 50376, 56900, 52465, 52565, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 51044, 53905, 51997, 52847, 52210, 51997, 50800, 52162, 50886, 52505, 66797, 54147, 53641, 51707, 50809, 51997, 50374, 56900, 52465, 52396, 51997, 50818, 51997, 51008, 51181, 50869, 50563, 55047, 51044, 53545, 51707, 57323, 52349, 51707, 50800, 51997, 51058, 52505, 66797, 54147, 53902, 54580, 50374, 61440, 52465, 50818, 50799, 52162, 51128, 51707, 50874, 51181, 50869, 50563, 55047, 52572, 71746, 53837, 54639, 51997, 52467, 50359 ]

[ 0, 250, 15352, 30054, 8, 3722, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 5540, 13305, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 20, 13305, 1974, 10, 13931, 9, 381, 6, 230, 10431, 119, 6, 3676, 401, 6, 8, 274, 10431, 40286, 6, 2351, 10, 19448, 8, 8728, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50415, 61111, 50416, 50877, 52147, 50989, 53577, 50899, 52147, 51040, 53055, 50444, 51787, 50915, 50457, 50899, 56308, 50877, 52147, 50458, 51086, 62609, 50999, 51490, 50989, 52440, 50796, 50445, 50899, 55002, 50989, 55812, 50877, 55812, 50999, 52996, 50446, 51040, 58898, 60212, 50999, 57252, 51814, 50897, 50428, 50989, 53892, 51086, 59821, 50877, 54521, 50899, 52063, 50436, 51487, 51100, 50447, 50989, 56374, 50448, 50956, 54590, 50334, 51116, 50900, 52397, 56020, 51146, 61880, 51430, 51079, 50430, 51146, 51277, 50436, 51086, 65825, 50899, 56458, 51430, 60633, 50916, 54557, 50861, 56563, 50456, 51220, 50874, 51146, 78697, 50951, 54846, 50968, 51199, 56020, 50989, 51490, 51001, 51199, 50423, 51114, 51480, 50956, 52212, 50424, 50900, 61124, 50433, 50876, 56157, 51114, 51051, 50445, 51001, 51022, 51809, 50899, 66813, 68914, 62227, 51086, 53529, 50318, 51312, 50428, 50916, 51961, 51040, 52441, 50877, 52256, 51028, 52256, 50968, 51542, 50461, 50973, 74197, 63271, 61368, 50904, 54206, 64044, 51028, 52598, 50968, 51592, 50430, 50916, 52519, 50877, 53577, 51040, 55812, 59412, 51114, 52524, 50899, 54532, 51040, 57032, 50877, 57032, 50427, 50989, 55002, 50437, 51114, 72688, 51114, 51379, 50455, 50989, 52011, 50456, 51114, 52434, 50303, 55016, 50313, 77014, 51806, 52591, 51114, 71714, 51114, 51277, 50439, 51040, 65825, 50989, 56563, 50899, 54557, 72097, 50877, 56563, 51809, 51146, 51160, 50427, 51220, 51110, 51086, 55765, 50989, 52011, 50428, 50899, 52056, 50877, 52618, 50436, 50999, 51091, 50449, 51114, 76960, 77743, 51601, 50968, 52059, 50416, 50916, 53055, 50861, 53801, 50899, 55812, 51086, 62609, 50434, 50968, 60438, 50968, 50984, 50445, 50968, 51884, 50997, 71133, 50899, 57032, 50861, 59170, 50916, 55812, 60212, 50951, 64942, 51114, 71874, 50968, 61660, 74952, 50433, 50968, 51449, 50435, 50861, 75222, 51086, 60243, 50899, 54590, 50308, 54211, 50460, 50997, 52256, 51040, 51961, 50916, 51679, 50861, 51679, 61627, 50973, 51642, 50440, 51086, 55002, 50861, 54532, 50968, 51177, 50916, 51679, 50899, 51961, 50441, 50951, 71474, 50951, 68169, 50951, 51192, 56020, 76232, 50861, 53126, 50313, 72052, 54590, 50304, 52618, 50423, 51001, 50955, 50951, 50917, 50433, 50951, 51033, 50441, 50951, 52989, 51086, 53577, 50968, 63698, 61418, 79339, 51637, 50861, 55812, 50451, 50899, 54211, 52591, 51146, 67631, 50931, 51689, 50329, 50808, 51040, 54590, 50308, 51806, 50877, 52441, 50444, 51220, 51346, 50456, 50999, 50955, 50460, 76598, 53069, 50989, 52212, 51114, 51484, 50877, 52440, 51040, 53055, 50432, 51028, 77052, 51114, 50978, 78631, 51172, 50877, 51806, 50916, 51480, 50876, 51124, 50968, 51110, 50455, 51114, 51173, 51809, 51114, 61653, 50427, 50989, 52147, 50973, 52407, 51086, 57912, 50956, 52147, 51001, 51961, 50441, 50999, 51576, 52591, 50902, 51832, 50421, 50861, 63667, 50989, 63667, 50899, 61017, 50422, 51220, 50933, 50973, 56123, 50432, 51220, 50977, 50439, 51220, 51051, 67655, 53674, 50973, 54211, 73137, 50968, 57091, 50916, 52618, 50456, 51220, 50987, 51809, 51220, 51008, 77095, 60243, 50956, 54228, 50965, 60243, 50428, 51220, 51252, 50455, 51146, 51312, 52478, 51399, 64523, 50965, 62609, 50916, 54126, 50305, 56308, 50429, 51220, 67810, 50871, 52996, 50439, 50999, 55103, 51147, 73697, 51040, 52598, 50989, 51878, 50999, 51757, 50877, 51878, 50459, 51028, 52098, 50322, 50917, 52591, 51147, 51183, 50430, 51040, 53577, 51028, 51961, 50931, 51961, 50431, 50871, 53280, 50965, 52519, 50452, 51028, 51142, 50454, 50999, 62355, 51147, 50873, 52177, 51040, 51965, 63558, 51028, 75165, 51965, 50877, 51965, 50437, 69649, 50452, 51220, 51534, 50453, 51086, 63546, 50307, 58556, 50310, 52618, 51601, 50999, 51484, 50428, 76893, 50431, 51114, 51254, 50436, 50951, 60633, 50861, 56374, 50916, 53674, 51086, 60243, 50447, 50951, 51134, 50455, 50968, 64801, 50973, 50955, 57923, 51806, 50956, 53674, 50861, 52441, 50900, 54590, 50316, 50943, 50425, 50951, 53505, 50951, 51328, 50440, 51114, 71106, 50951, 51172, 51086, 58898, 50861, 55812, 50899, 54211, 50448, 50916, 53577, 50455, 50973, 50825, 50968, 50886, 51601, 51220, 72417, 50999, 51879, 50305, 52136, 79143, 52407, 50916, 53577, 50433, 50951, 52831, 51114, 50977, 79472, 50981, 50457, 51040, 52440, 50989, 52212, 51114, 50981, 50458, 50906, 52407, 61627, 51028, 72422, 50989, 55812, 51040, 60243, 50906, 56374, 51114, 58862, 50999, 69008, 51220, 51221, 50460, 51399, 51221, 55753, 51086, 63309, 51405, 51619, 50322, 51312, 50422, 50956, 51432, 64551, 52783, 51430, 51177, 50441, 51405, 71274, 52263, 51114, 51376, 50460, 51146, 58449, 51399, 50955, 51601, 51220, 51242, 50422, 68717, 50427, 50951, 61231, 50916, 51703, 51086, 56563, 73866, 52212, 50435, 51114, 51524, 50440, 50951, 52256, 79472, 52063, 50451, 50973, 68987, 66005, 54206, 67278, 54211, 50415, 50916, 52407, 51001, 51258, 50902, 51212, 50422, 50973, 51309, 50428, 50902, 57018, 50968, 51254, 50437, 50916, 61307, 60496, 52440, 51040, 52440, 51028, 51484, 50457, 51028, 51365, 50460, 51220, 51116, 55753, 50999, 50849, 50428, 50951, 51199, 50431, 50999, 51851, 50440, 51114, 52134, 50447, 50968, 53313, 50453, 50989, 54228, 51114, 53280, 51040, 60243, 50454, 50877, 59170, 75695, 50968, 58090, 50877, 55197, 50916, 61450, 50876, 63532, 50900, 61450, 50438, 50951, 51481, 50444, 51114, 51314, 50451, 50989, 52397, 50452, 51001, 51961, 51086, 59170, 50956, 55765, 50973, 52397, 75695, 50973, 51824, 50429, 51086, 57968, 50430, 50968, 64716, 59170, 50916, 77014, 56615, 50431, 50951, 60844, 71819, 50448, 50951, 53702, 50877, 53674, 50861, 53126, 50316, 63271, 70833, 56374, 50460, 50900, 64399, 52591, 50951, 50937, 50428, 50951, 61573, 50951, 53535, 50315, 51123, 57267, 55812, 66005, 51086, 63872, 50916, 53577, 50899, 54228, 50460, 51146, 51255, 56020, 51399, 51109, 50423, 51040, 54344, 50916, 52048, 50877, 52011, 50430, 51220, 51178, 50436, 77757, 50440, 50951, 72688, 50999, 51091, 50989, 51965, 50877, 51965, 50447, 50899, 53280, 59412, 50902, 53529, 50320, 53803, 50989, 53126, 50313, 55036, 50322, 60950, 50899, 55036, 50325, 51043, 50435, 50951, 51095, 50443, 51114, 70143, 51399, 51121, 51114, 51178, 51028, 51277, 50902, 51203, 50899, 59821, 50877, 75670, 51753, 59412, 51220, 50812, 50902, 53548, 51114, 50833, 50973, 50908, 50965, 60895, 51220, 51110, 50951, 51110, 50902, 51177, 50442, 50861, 51679, 50989, 51961, 50973, 51961, 50899, 52519, 50454, 51220, 50936, 51601, 51220, 51158, 50423, 50951, 51346, 50968, 51100, 50861, 51380, 50973, 51806, 50916, 64809, 51220, 50924, 50443, 51220, 75635, 51220, 71834, 50956, 53577, 50900, 57032, 50965, 56374, 61627, 51399, 52256, 50451, 50861, 57232, 50452, 50906, 57232, 50899, 57232, 52591, 51146, 58382, 51430, 53193, 51146, 60465, 51399, 68982, 51146, 58271, 51399, 53137, 51146, 56573, 51399, 50874, 66302, 50851, 50419, 50999, 67829, 50989, 56458, 53337, 63872, 50427, 50877, 59170, 50432, 51114, 52482, 50433, 50902, 51645, 50443, 51114, 75635, 50989, 53055, 51114, 51645, 50456, 51040, 53055, 50906, 53055, 50796, 50433, 50931, 51376, 50437, 51114, 54682, 51220, 51381, 50445, 50877, 61124, 50916, 55002, 50900, 63872, 52591, 51062, 51255, 50430, 50989, 52147, 50956, 52147, 51220, 51159, 50431, 51086, 52440, 50440, 50999, 51124, 50448, 50951 ]

[ 0, 4688, 20425, 5175, 2214, 11, 163, 428, 3694, 6, 4246, 10, 11739, 9, 15352, 30054, 8, 2933, 4785, 4, 590, 10, 20889, 9, 22619, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 2877, 1328, 4, 20, 33215, 16739, 9, 274, 6, 230, 10431, 6, 8, 12608, 3639, 7, 63, 13363, 28191, 5466, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50906, 51631, 50931, 51918, 50906, 51798, 50931, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 50931, 51918, 50906, 51798, 50876, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 57126, 51631, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55694, 51631, 50931, 51918, 50906, 51798, 50931, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 50931, 51918, 50906, 51798, 50876, 51923, 51028, 50795, 66243, 51001, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 57126, 51631, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 55746, 51028, 51918, 50989, 51798, 51028, 51923, 51001, 50795, 50796, 59409, 51918, 51028, 51798, 50876, 51923, 50906, 50795, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 51923, 51197, 50795, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 52809, 51050, 51754, 51197, 52567, 63049, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 51923, 51197, 50795, 54662, 53471, 51234, 51620, 51234, 51628, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 51757, 51966, 51923, 51966, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 52262, 51197, 52831, 51197, 51820, 51197, 51757, 51197, 52809, 51050, 51754, 51176, 52567, 50997, 50800, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51197, 59123, 54093, 63049, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51176, 59123, 54093, 50997, 50800, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51197, 59123, 54093, 63049, 54662, 56730, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 56645, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 54666, 51923, 51197, 56730, 50795, 54662, 53471, 51234, 51620, 51234, 78858, 51736, 51234, 52262, 51966, 52831, 51966, 51820, 51966, 59123, 51798, 51966, 54666, 51923, 51966, 57981, 50795, 58439, 53471, 51503, 51620, 51503, 51628, 51503, 77724, 53505, 51197, 52831, 51197, 51820, 51197, 50800, 51028, 51798, 51197, 66303, 55000, 51050, 51754, 51176, 59123, 54093, 50997, 50800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 32625, 3495, 2125, 14, 7630, 6568, 6453, 9, 657, 8, 11926, 149, 63, 15352, 30054, 13305, 819, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 8787, 15229, 11498, 10, 7212, 20889, 1328, 4, 20, 46336, 3184, 29769, 198, 5, 33215, 16739, 9, 12608, 406, 73, 534, 6, 2060, 6, 12608, 73, 534, 6, 8, 274, 119, 406, 6, 2351, 10, 19448, 13569, 9862, 14, 115, 2773, 14364, 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 ]

[ 54458, 54578, 53233, 51360, 76297, 50416, 51040, 63667, 50430, 51176, 56123, 50442, 51040, 56869, 50452, 51176, 56123, 51601, 50956, 51671, 50416, 51378, 55275, 50417, 50900, 68886, 50427, 51176, 56123, 55203, 56123, 50450, 51176, 57032, 50461, 50965, 53849, 57346, 60243, 50415, 51050, 59519, 50427, 51176, 59170, 50438, 51040, 59170, 50451, 51176, 63667, 53997, 52988, 50956, 57941, 50425, 51176, 54071, 50435, 50989, 51080, 50437, 50956, 72057, 50446, 51176, 61887, 50457, 71698, 51360, 52212, 51040, 52440, 53069, 51176, 56615, 50430, 50965, 51310, 50431, 51085, 53055, 64551, 60243, 50441, 51176, 51824, 50451, 51028, 51878, 50453, 51234, 52147, 50871, 59170, 51601, 51040, 54521, 50426, 51001, 51965, 72513, 63872, 50428, 50997, 52440, 50438, 51040, 55584, 50451, 50965, 54249, 50452, 51176, 76297, 75074, 53838, 51809, 50956, 56123, 50428, 50900, 65988, 50440, 50956, 57941, 50451, 50900, 69895, 50452, 51503, 68085, 56178, 57070, 50424, 50877, 51419, 53523, 58576, 50435, 50956, 54887, 50445, 50906, 53588, 50446, 51966, 58651, 50457, 50956, 58483, 55753, 50900, 55789, 64551, 55778, 50446, 50956, 54573, 50447, 51378, 58306, 50449, 50900, 63806, 50459, 51176, 52618, 57731, 50900, 55574, 50434, 50871, 52063, 50435, 51176, 60243, 50441, 50989, 51775, 50448, 50965, 51592, 50449, 51050, 53678, 50450, 51040, 65748, 50460, 51176, 63532, 56020, 51040, 60326, 50434, 51176, 61450, 64118, 55490, 50447, 51234, 66595, 51176, 65254, 50458, 51050, 61211, 55753, 51176, 56123, 50433, 51050, 60243, 50447, 50989, 51748, 50448, 50997, 51961, 50449, 52046, 55275, 50460, 51378, 53838, 55746, 50997, 51737, 50437, 51378, 58961, 50449, 50871, 75589, 51378, 54836, 51503, 52988, 51601, 50956, 52256, 50416, 51378, 51387, 50427, 51040, 52026, 50298, 52731, 50438, 51378, 54521, 50900, 51172, 50453, 50956, 58651, 50454, 52759, 65278, 51378, 53838, 55753, 51176, 65748, 50433, 51378, 60150, 50434, 51360, 65278, 50446, 51176, 59170, 50459, 52759, 56599, 50460, 51040, 56374, 51050, 59170, 57731, 51176, 52048, 50433, 51040, 51210, 50441, 50871, 53726, 50450, 50965, 52378, 50459, 51028, 52256, 60212, 50931, 52062, 50425, 50871, 60243, 51360, 55275, 51040, 68886, 50437, 50965, 55574, 50439, 51176, 53306, 50449, 51040, 59821, 50871, 58961, 50459, 50965, 52397, 50460, 51176, 55197, 56020, 51001, 53588, 51378, 52727, 50423, 50956, 63667, 50900, 54836, 50434, 50965, 55036, 50300, 53838, 50445, 50956, 61211, 68121, 52618, 50456, 50965, 51387, 50457, 51176, 56123, 53069, 51147, 53454, 69980, 52441, 50421, 51050, 56599, 51040, 57968, 50433, 51028, 58556, 50300, 55574, 71289, 55778, 50445, 50965, 55574, 50455, 51028, 55765, 51176, 56615, 52177, 51085, 51939, 50965, 56374, 50427, 51176, 54126, 50319, 64896, 51114, 51148, 50439, 50965, 55197, 50900, 54848, 50449, 51001, 55197, 50450, 51176, 61211, 50459, 51040, 53126, 50321, 51145, 51360, 52136, 50965, 52011, 56020, 51028, 53892, 50423, 51176, 56615, 50432, 51147, 51310, 50900, 52378, 50965, 52188, 50433, 51085, 53674, 50441, 51176, 52518, 51001, 52063, 50452, 51399, 51218, 51028, 51333, 50453, 50997, 51484, 51234, 52025, 57497, 52397, 50415, 50931, 51210, 50427, 51405, 51749, 51028, 53164, 50290, 54557, 50997, 51466, 50440, 51360, 55002, 50951, 52048, 50454, 51503, 53866, 51147, 53478, 50876, 51333, 52478, 51001, 52397, 50419, 51085, 51466, 50430, 51197, 53126, 50316, 55584, 50440, 51176, 53588, 50441, 51001, 53838, 50451, 50900, 53957, 50452, 50876, 58090, 50461, 51001, 76033, 54848, 57731, 50999, 51790, 50900, 52378, 50424, 50876, 51737, 50433, 50956, 54011, 50319, 54836, 50446, 51081, 51677, 51966, 51381, 50876, 53838, 50458, 51085, 53126, 50319, 52025, 55753, 51197, 51738, 50876, 55789, 50431, 51001, 59977, 50298, 52519, 50443, 51001, 52335, 55513, 53164, 50316, 68886, 50455, 50965, 53697, 50956, 61887, 53069, 50876, 55789, 50900, 61211, 50429, 50965, 53892, 50430, 51378, 60243, 50433, 50931, 51309, 50440, 51114, 51199, 50446, 51050, 56374, 50448, 51147, 51939, 50450, 51028, 65748, 50459, 50965, 54344, 50460, 51176, 61450, 57731, 51028, 63684, 50297, 54298, 50434, 50965, 58483, 51176, 52167, 50446, 50902, 56599, 51234, 58651, 50447, 51050, 72057, 50965, 50360, 50400, 50458, 50871, 55197, 50459, 50997, 55778, 56020, 50965, 54521, 51050, 65748, 50434, 50871, 77429, 50302, 51738, 50446, 51114, 52222, 50447, 51197, 61017, 51378, 52397, 50457, 50989, 55574, 50459, 50997, 50984, 55753, 51378, 54071, 50422, 50906, 52782, 50432, 50989, 52731, 50433, 50997, 51128, 50445, 50931, 51381, 50446, 50989, 54521, 51197, 74478, 51503, 64971, 50458, 51001, 51679, 50459, 50989, 53024, 50460, 51176, 53313, 56020, 51028, 52845, 50310, 51737, 50423, 51197, 52134, 50433, 50876, 51277, 50434, 50989, 51252, 51176, 54861, 50446, 51001, 55844, 51360, 71620, 50447, 50989, 52397, 50458, 51176, 55765, 50965, 52618, 56020, 50989, 59170, 78523, 57941, 50435, 50965, 61124, 51176, 63872, 50454, 51028, 63160, 50455, 51040, 63872, 50871, 63510, 50796, 50454, 50871, 56374, 55753, 50931, 57820, 50434, 50871, 57826, 72785, 55778, 50457, 50871, 51387, 52591, 50871, 51697, 50430, 51399, 51542, 50431, 50871, 54887, 50440, 51062, 51191, 50441, 50871, 52731, 50451, 51081, 51241, 50452, 73053, 51809, 51339, 52382, 74850, 54848, 51027, 54298, 50900, 59821, 78313, 63684, 50309, 51123, 51027, 52731, 50440, 51027, 51210, 50871, 51524, 50441, 50900, 51252, 73867, 51862, 51027, 59977, 50304, 52782, 57346, 53726, 50997, 51337, 50871, 53726, 50425, 51399, 51241, 61104, 65330, 50871, 53024, 50427, 50997, 54887, 50436, 51062, 51191, 50437, 50871, 54126, 50305, 54861, 62335, 51697, 50447, 51081, 51351, 50448, 50871, 52518, 51040, 54298, 50449, 50997, 52192, 50460, 50931, 53753, 50877, 52034, 50461, 50956, 55584, 50900, 54848, 55746, 50877, 59977, 50307, 50361, 50814, 50304, 57070, 50436, 50956, 53693, 50313, 52731, 50437, 50900, 54071, 50446, 50956, 55778, 50447, 50877, 55505, 50304, 52782, 50457, 50906, 52518, 50458, 51040, 54298, 50871, 54298, 52591, 51399, 51391, 50421, 51040, 50361, 50814, 50314, 52167, 63714, 51550, 50430, 51062, 51241, 50431, 50906, 51524, 51040, 52858, 50309, 52731, 50440, 51081, 51218, 50441, 50906, 75868, 51524, 51040, 52731, 50451, 51028, 54836, 50452, 51147, 51742, 50906, 55197, 50956, 58090, 52177, 51028, 78290, 54691, 50418, 50956, 53313, 50428, 51028, 53010, 50951, 51422, 50429, 50956, 58961, 50906, 54691, 50439, 51028, 55505, 50307, 53010, 50440, 50906, 52731, 50450, 51028, 54298, 50916, 54861, 50451, 50906, 54386, 50461, 51028, 52731, 55524, 52514, 50415, 50906, 52101, 51147, 51376, 50419, 50951, 51524, 50422, 50931, 61911, 50951, 51177, 50428, 51028, 55574, 50429, 50916, 61450, 50861, 60326, 50432, 51081, 51477, 50443, 51028, 51697, 65827, 55811, 50445, 50861, 73792, 51147, 51254, 50457, 51147, 57232, 50876, 60326, 50965, 58090, 50459, 50871, 60150, 60212, 50876, 54088, 50965, 56373, 50425, 50871, 52794, 50436, 50965, 59977, 50316, 52946, 50437, 50871, 56373, 78202, 52179, 50965, 51832, 50448, 50871, 51470, 50460, 50906, 52015, 50461, 51040, 58483, 50965, 55778, 69341, 51040, 52946, 50965, 51832, 50438, 50965, 54298, 50439, 51040, 51737, 50440, 76232, 50443, 50906, 51123, 50446, 57472, 50449, 50906, 50978, 50452, 50965, 54298, 51040, 55789, 50453, 51028 ]

[ 0, 250, 748, 1879, 15525, 15855, 19834, 4246, 856, 17993, 6, 1893, 43639, 6, 17465, 102, 6, 2342, 4467, 6, 8, 21072, 6, 42, 15352, 30054, 15229, 11, 230, 538, 7630, 6568, 10, 25306, 5466, 4, 590, 10, 23667, 20889, 9, 17445, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 23458, 28337, 9066, 8, 2933, 223, 34693, 19, 3423, 9, 11098, 6, 2351, 10, 13363, 28191, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50450, 55233, 50795, 53587, 51923, 55553, 50795, 57101, 50795, 50799, 59888, 50807, 55233, 52910, 55233, 50807, 53587, 52424, 55233, 50807, 53587, 52728, 55233, 50807, 53587, 50807, 50799, 57101, 50807, 53081, 52910, 55233, 50918, 53587, 56811, 55553, 50807, 57101, 50807, 50799, 59888, 50807, 55233, 52910, 59888, 50807, 53587, 52424, 55233, 50983, 54291, 68862, 57101, 50795, 53208, 50795, 50799, 53587, 51161, 54269, 77481, 53587, 50807, 54269, 50807, 50799, 53587, 50807, 54269, 52910, 55233, 50807, 53587, 52424, 55233, 50807, 53587, 52728, 53587, 50807, 54269, 50807, 50799, 53587, 50807, 54269, 52910, 57101, 50918, 53208, 56811, 55233, 50807, 54291, 50807, 50799, 55553, 50807, 53546, 52910, 55233, 50807, 54291, 52424, 57101, 50983, 53208, 68862, 53587, 50795, 54269, 50795, 50799, 57101, 51161, 53208, 77481, 55233, 50795, 53587, 51923, 55553, 50795, 57101, 50795, 50799, 59888, 50807, 55233, 52910, 55233, 50807, 53587, 52424, 55233, 50807, 53587, 52728, 55233, 50807, 53587, 50807, 50799, 57101, 50807, 53081, 52910, 55233, 50918, 53587, 56811, 55553, 50807, 57101, 50807, 50799, 59888, 50807, 55233, 52910, 59888, 50807, 53587, 52424, 55233, 50983, 54291, 68862, 57101, 50795, 53208, 50795, 50799, 53587, 51161, 54269, 77481, 55233, 50795, 53587, 51923, 55233, 50795, 53587, 50795, 50799, 55233, 50807, 53587, 52910, 53081, 50807, 58989, 52424, 53081, 50807, 58989, 52728, 53081, 50807, 58989, 50807, 50799, 53081, 50807, 58989, 52910, 53587, 50918, 54269, 56811, 57101, 50807, 53208, 50807, 50799, 55233, 50807, 54291, 52910, 59888, 50807, 53587, 52424, 53587, 50983, 54269, 68862, 57101, 50795, 53208, 50795, 50799, 55233, 51492, 54291, 51492, 50799, 50639, 51899, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 56703, 72335, 51724, 50816, 71324, 51754, 50816, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 56703, 72335, 51724, 50816, 71324, 51754, 50816, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 53862, 50807, 51899, 50800, 53862, 53312, 50816, 50800, 56703, 50800, 54163, 53561, 50816, 72335, 50800, 53862, 62715, 50816, 51724, 50816, 71324, 50800, 54899, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 54157, 50983, 51899, 51754, 50816, 50800, 54515, 50795, 56703, 50800, 56101, 59047, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 56101, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 56101, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 53862, 50807, 51899, 50800, 56101, 53312, 50816, 50800, 56703, 50800, 56101, 53561, 50816, 72335, 50800, 54515, 62715, 50816, 51724, 50816, 71324, 50800, 54157, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 55823, 50807, 51694, 50800, 54157, 52424, 50816, 50800, 54515, 50983, 51899, 51754, 50816, 50800, 56101, 50795, 56703, 50800, 54515, 59047, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 53862, 50807, 51899, 50800, 53862, 53312, 50816, 50800, 56703, 50800, 54163, 53561, 50816, 72335, 50800, 53862, 53182, 50816, 51724, 50816, 50800, 53862, 50983, 51899, 52809, 50816, 51754, 50816, 50800, 54899, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 54157, 50983, 51899, 51754, 50816, 50800, 54515, 50795, 56703, 50800, 56101, 59047, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 54706, 51754, 50816, 50800, 53862, 50795, 53206, 50800, 56703, 50800, 53862, 50807, 51694, 50800, 55111, 52424, 50816, 50800, 55111, 50807, 51899, 50800, 55111, 53312, 50816, 50800, 56703, 50800, 55111, 53561, 50816, 72335, 50800, 56101, 53182, 50816, 51724, 50816, 50800, 54515, 50983, 51899, 52809, 50816, 51754, 50816, 50800, 54157, 50795, 53206, 50800, 56703, 50800, 54157, 50807, 51694, 50800, 53862, 52424, 50816, 50800, 56101, 50983, 51899, 51754, 50816, 50800, 54515, 50795, 56703, 50800, 54157, 51492, 61889, 72335, 51628, 50816, 51724, 50816, 71324, 52809, 50816, 51754, 50816, 52567, 50816, 50800, 56703, 72335, 51724, 50816, 71324, 51754, 50816, 50800, 56703, 51835, 50816, 72335, 51628, 50816, 51724, 50816, 71324, 50800, 53862, 50795, 51686, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 51565, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51686, 52424, 50816, 50800, 53862, 50807, 51686, 50807, 60458, 50918, 51899, 50800, 53862, 50807, 51686, 53312, 50816, 50800, 56703, 50800, 54163, 50807, 51827, 50807, 55129, 54994, 50816, 72335, 50800, 53862, 50918, 51686, 62715, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 53862, 50795, 51686, 50795, 54706, 51754, 50816, 50800, 54899, 50795, 51565, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51606, 52424, 50816, 50800, 54157, 50983, 51686, 50983, 60458, 50918, 51899, 51754, 50816, 50800, 54515, 50795, 51827, 50795, 56703, 50800, 56101, 51161, 51673, 51161, 55129, 54994, 50816, 72335, 51628, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 56101, 50807, 51673, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 56101, 50807, 51673, 50807, 53942, 50918, 51694, 50800, 53862, 50807, 51686, 52424, 50816, 50800, 53862, 50807, 51686, 50807, 55129, 50918, 51899, 50800, 56101, 50807, 51673, 53312, 50816, 50800, 56703, 50800, 56101, 50807, 51673, 50807, 53942, 54994, 50816, 72335, 50800, 54515, 50918, 51827, 62715, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 54157, 50807, 51686, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 55823, 50807, 51565, 50807, 53942, 50918, 51694, 50800, 54157, 50807, 51686, 52424, 50816, 50800, 54515, 50983, 51827, 50983, 60458, 50918, 51899, 51754, 50816, 50800, 56101, 50795, 51673, 50795, 56703, 50800, 54515, 51161, 51827, 51161, 53942, 53561, 50816, 72335, 50800, 60458, 53182, 50816, 51724, 50816, 50800, 61053, 50807, 51899, 50800, 53862, 50795, 51686, 50795, 63513, 50807, 54706, 51754, 50816, 50800, 54899, 50795, 51565, 50795, 53206, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51686, 52424, 50816, 50800, 53862, 50807, 51686, 50807, 60458, 50918, 51899, 50800, 53862, 50807, 51686, 53312, 50816, 50800, 56703, 50800, 54163, 50807, 51827, 50807, 55129, 54994, 50816, 72335, 50800, 53862, 50918, 51686, 62715, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 54899, 50807, 51565, 50807, 54706, 51754, 50816, 52567, 50816, 50800, 56703, 50800, 54377, 50807, 51606, 50807, 55129, 50918, 51694, 50800, 53862, 50807, 51606, 52424, 50816, 50800, 54157, 50983, 51686, 50983, 60458, 50918, 51899, 51754, 50816, 50800, 54515, 50795, 51827, 50795, 56703, 50800, 56101, 51161, 51673, 51161, 55129, 54994, 50816, 72335, 51628, 50816, 51724, 50816, 50800, 60458, 50918, 51899, 50800, 53862, 50795, 51686, 50795 ]

[ 0, 250, 15855, 2125, 19, 3495, 16882, 6, 42, 2214, 7630, 6568, 10, 25306, 8, 19448, 5466, 4, 2595, 10312, 30, 13305, 8, 6168, 3540, 6, 24, 30853, 11, 10, 16634, 155, 73, 306, 86, 6543, 23, 41, 178, 5285, 20889, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 1575, 10, 33215, 16739, 9, 211, 119, 6, 230, 6, 163, 428, 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 ]

[ 51034, 50624, 51034, 58882, 50417, 50906, 50978, 57340, 60988, 50876, 58192, 71039, 78740, 60539, 50877, 66859, 50876, 50978, 57267, 78873, 50906, 64208, 67692, 78202, 50867, 51034, 58882, 50417, 50906, 50978, 57340, 60988, 50876, 58192, 71039, 78740, 60539, 50877, 67869, 50876, 50978, 57267, 66867, 77052, 50906, 64208, 50877, 50987, 78202, 50867, 51034, 65218, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 50877, 67869, 50876, 50978, 57267, 66867, 77052, 50906, 64208, 50877, 50987, 78202, 50867, 51034, 65218, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 50877, 67869, 50876, 60676, 52494, 59055, 66867, 51003, 50441, 50906, 64208, 50877, 59957, 50876, 50867, 51034, 52203, 51295, 72684, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 52203, 57069, 67869, 50876, 60676, 52307, 58399, 60898, 51003, 50441, 50906, 64208, 52307, 59389, 59957, 59855, 51034, 53042, 51183, 50861, 52434, 50307, 51183, 50417, 50906, 50978, 57340, 58506, 50876, 58192, 50906, 50987, 78740, 60539, 50877, 67869, 50876, 60676, 52494, 58399, 66867, 63939, 50906, 64208, 52494, 59389, 59957, 59855, 51034, 53602, 51183, 50861, 51514, 50302, 51183, 50417, 50906, 50978, 57340, 58861, 50876, 58192, 50906, 64318, 50902, 60539, 50877, 60234, 50876, 60676, 52795, 57348, 63327, 63939, 50906, 64208, 52795, 57069, 59956, 59855, 51034, 52494, 51127, 50989, 61566, 51183, 50417, 50877, 50978, 55902, 58861, 50906, 50987, 56207, 64318, 50876, 50987, 58319, 60234, 50906, 60676, 52494, 51145, 50989, 69792, 77052, 50877, 50978, 58365, 59956, 66768, 51034, 50989, 66867, 51183, 50417, 64645, 55902, 58506, 71039, 56207, 50987, 50429, 70688, 58319, 67869, 50906, 58450, 52494, 58421, 66867, 51003, 50441, 50876, 63280, 50906, 59957, 59139, 51034, 52307, 60015, 57911, 51103, 73401, 58793, 50906, 71818, 50902, 57629, 52307, 59391, 69353, 50968, 57066, 50906, 61428, 50902, 56983, 52882, 57254, 65185, 51013, 50441, 50876, 60835, 52882, 61419, 71097, 68455, 51034, 52614, 63831, 50806, 51050, 51196, 73401, 61955, 50906, 54901, 65624, 56546, 57200, 50968, 57748, 50906, 55246, 50902, 59826, 52307, 68699, 67899, 69152, 50876, 61897, 52307, 65792, 55967, 50906, 50858, 51034, 52494, 51115, 50871, 72066, 75843, 50877, 50948, 56440, 65393, 50861, 50865, 53645, 54253, 50877, 56504, 52882, 64294, 58926, 50906, 58020, 52795, 65480, 51458, 50296, 50943, 50441, 50861, 55040, 50899, 65586, 69540, 51034, 54019, 51662, 51040, 51644, 50289, 51148, 50417, 50916, 51006, 54569, 61544, 50871, 51058, 56248, 65005, 50861, 51058, 58296, 60282, 50871, 56480, 51040, 51644, 50296, 74244, 50916, 51006, 55989, 61554, 58529, 51034, 54019, 72110, 69792, 51145, 50417, 50916, 51058, 54569, 62149, 50871, 50978, 56248, 65005, 50861, 50978, 58296, 60282, 50871, 51058, 59419, 69151, 50861, 51058, 57428, 60785, 60124, 68866, 66719, 53164, 50287, 52431, 50418, 50906, 51365, 66345, 70236, 51315, 74471, 51466, 50430, 76584, 71626, 69406, 53602, 51712, 50297, 52454, 50306, 51466, 50442, 50906, 51365, 50444, 53602, 50974, 68473, 51365, 51034, 53602, 51145, 51120, 66719, 53164, 50287, 52431, 50418, 50906, 51365, 66345, 70236, 51315, 52845, 50308, 51466, 50430, 76584, 71626, 69406, 53602, 51644, 50297, 77014, 51466, 50442, 50906, 51365, 50444, 53602, 50905, 68473, 51365, 51034, 53602, 51310, 51315, 63821, 52845, 50287, 52140, 50418, 50906, 51210, 66345, 51210, 60643, 66719, 51333, 50430, 50906, 72883, 53602, 70139, 50997, 69658, 52795, 71115, 74471, 51333, 50442, 50906, 51210, 50444, 52494, 50892, 68473, 51210, 51034, 52882, 61679, 50844, 51799, 51097, 50417, 50877, 54351, 52494, 73387, 55266, 50877, 53450, 52494, 51148, 69308, 51378, 51097, 50429, 50877, 53513, 51027, 55167, 50877, 53614, 66908, 51279, 75576, 50877, 53783, 51027, 55876, 61133, 51034, 50624, 52494, 68186, 50844, 51799, 51097, 50417, 50877, 54351, 51027, 55266, 61133, 53337, 50844, 51050, 51097, 50429, 50877, 53513, 51027, 55167, 50877, 53614, 61133, 51279, 75576, 50902, 53743, 50899, 55118, 59139, 51034, 50624, 51026, 66412, 51517, 50292, 51939, 50418, 51001, 64987, 50956, 55656, 51027, 66920, 50932, 50430, 51001, 62727, 50956, 56180, 50997, 61087, 77563, 53042, 50987, 50442, 51001, 50933, 50445, 53042, 50987, 50446, 50956, 50933, 51034, 53042, 51127, 51027, 63348, 51517, 50294, 51939, 50418, 51001, 69647, 50989, 50959, 56759, 64292, 50981, 50430, 51001, 61172, 50989, 58866, 53042, 52434, 50304, 59460, 50914, 50442, 51001, 54630, 53042, 50977, 50446, 77206, 51034, 53042, 51103, 50997, 52297, 50317, 52297, 50295, 51933, 50418, 51001, 50952, 64309, 50952, 53523, 59391, 50807, 50430, 51001, 62408, 50861, 58866, 50623, 53042, 51741, 50305, 63211, 51003, 50442, 51001, 65845, 68929, 51034, 50624, 50900, 51514, 50298, 51183, 50902, 51422, 50417, 67692, 54569, 63867, 50906, 55440, 50997, 62554, 50861, 58191, 51027, 58926, 50877, 56057, 52494, 52098, 50299, 54789, 50906, 54630, 51027, 59513, 52494, 68527, 56143, 51034, 53042, 51127, 50997, 52530, 50317, 52297, 50295, 51941, 50418, 51001, 50952, 64309, 50952, 53523, 59391, 50807, 50430, 51001, 62408, 50861, 58866, 53042, 51665, 50305, 63211, 51003, 50442, 51001, 63959, 53042, 50866, 67655, 51008, 51034, 50624, 52494, 51127, 50900, 51514, 50298, 51183, 50902, 51422, 50417, 57634, 54569, 63867, 69429, 56759, 62554, 50861, 58191, 51027, 57807, 50877, 56983, 52494, 69836, 54789, 50906, 54630, 51027, 67636, 62926, 75424, 52297, 50317, 52297, 50295, 51933, 50418, 51001, 50952, 64309, 50952, 53523, 59391, 50807, 50430, 51001, 62408, 50861, 58866, 53042, 51109, 51040, 72341, 51013, 50442, 51001, 50952, 67655, 50940, 51034, 50624, 53839, 50806, 51197, 62596, 53177, 50288, 51585, 80121, 69551, 53839, 50893, 50422, 50989, 61001, 52307, 51936, 50297, 62596, 51090, 50430, 50931, 62019, 52307, 67449, 50871, 64543, 53042, 52297, 50298, 62596, 51090, 50442, 51001, 51033, 50446, 50956, 51033, 51034, 54568, 51442, 50290, 51958, 50310, 51090, 50418, 51028, 69551, 54568, 50879, 50422, 51040, 61001, 52795, 70928, 65287, 51090, 50430, 50876, 62019, 50623, 50434, 50956, 56360, 53602, 51514, 50293, 74127, 50807, 50442, 50906, 58937, 53602, 72688, 51040, 50942, 51034, 50624, 54019, 51677, 80255, 51120, 51662, 50877, 51662, 50417, 50900, 54351, 50916, 54252, 50900, 53450, 50989, 56739, 50900, 53513, 50861, 54378, 50900, 53614, 50916, 57366, 50900, 53783, 50989, 55118, 66883, 51034, 53602, 51677, 57660, 51279, 51662, 51315, 51662, 50906, 51662, 50417, 51040, 54351, 50989, 54252, 51040, 53450, 50861, 56739, 51040, 53513, 50877, 54378, 51040, 53614, 50989, 57366, 51040, 53783, 50861, 55118, 51040, 50844, 51034, 50989, 59537, 51183, 50417, 67692, 55902, 58861, 50906, 55440, 50877, 64318, 50876, 56799, 50861, 60234, 50906, 59577, 50989, 63663, 51003, 50441, 67692, 58365, 59956, 50906, 50857, 51034, 52494, 51127, 50989, 58871, 51127, 50417, 57634, 55902, 60522, 69429, 56207, 64627, 70178, 58319, 61647, 50906, 55467, 50989, 71942, 50943, 50441, 57634, 58365, 62617, 50906, 50813, 51034, 52795, 51218, 50877, 57743, 51077, 73401, 60872, 50906, 53471, 50902, 55640, 50876, 54253, 50968, 58466, 52795, 58801, 63363, 50902, 53402, 52882, 58696, 61805, 67480, 50876, 61897, 52882, 56730 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 14, 115, 1807, 25, 10, 822, 19834, 6, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 2342, 4467, 6, 9590, 3863, 6, 8, 21072, 6, 2351, 41, 5466, 9, 15073, 6, 9066, 9733, 6, 8, 814, 4, 20, 15229, 16, 11, 163, 3694, 6, 19, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 21437, 10, 33215, 16739, 9, 163, 119, 6, 274, 10431, 119, 1176, 406, 6, 381, 73, 597, 10431, 6, 163, 119, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50415, 52065, 51795, 52065, 51795, 62276, 51795, 62276, 51795, 50799, 53278, 50813, 53278, 50813, 50740, 50284, 50830, 50740, 50284, 55587, 53654, 50813, 53654, 52524, 52507, 50810, 52507, 50810, 75386, 50830, 75386, 54372, 52684, 50855, 52684, 54431, 54008, 50862, 54008, 50862, 50740, 50284, 50897, 50740, 50284, 58937, 52507, 50857, 52507, 54086, 54008, 50977, 54008, 50977, 75386, 50849, 75386, 50849, 50799, 53361, 50833, 53361, 50833, 50740, 50284, 50937, 50740, 50284, 59771, 53654, 50862, 53654, 53901, 53361, 50977, 53361, 50977, 75386, 50849, 75386, 53470, 52684, 50810, 52684, 50810, 50740, 50284, 50878, 50740, 50284, 58991, 52693, 50857, 52693, 54086, 75386, 50948, 75386, 50948, 52684, 50937, 52684, 50937, 50799, 53278, 50833, 53278, 50833, 50740, 50284, 50830, 50740, 50284, 55587, 53654, 50855, 53654, 54156, 75386, 50858, 75386, 50858, 52507, 50810, 52507, 52658, 52684, 50855, 52684, 54431, 54008, 50810, 54008, 50810, 50740, 50284, 50948, 50740, 50284, 59591, 52507, 50862, 52507, 53938, 54008, 50810, 54008, 50810, 75386, 50830, 75386, 54896, 55314, 50925, 55314, 50925, 50799, 53679, 50844, 53679, 50844, 50740, 50287, 50865, 50740, 50287, 56202, 54008, 50987, 54008, 58192, 52507, 50854, 52507, 50854, 62251, 50865, 62251, 54725, 54008, 50813, 54008, 52781, 50740, 50287, 50991, 50740, 50287, 50991, 53679, 51397, 53679, 51397, 50450, 62251, 51100, 62251, 51100, 50799, 53278, 50833, 53278, 50833, 50740, 50284, 50977, 50740, 50284, 68531, 53654, 50862, 53654, 53901, 52507, 50855, 52507, 50855, 75386, 50830, 75386, 54372, 52684, 50857, 52684, 53891, 54008, 50857, 54008, 50857, 50740, 50284, 50830, 50740, 50284, 54630, 52507, 50841, 52507, 53083, 54008, 50977, 54008, 50977, 75386, 50967, 75386, 50967, 50799, 53361, 50862, 53361, 50862, 50740, 50284, 50865, 50740, 50284, 56202, 53654, 50813, 53654, 52524, 53361, 50917, 53361, 50917, 75386, 51175, 75386, 76183, 52684, 50862, 52684, 50862, 50740, 50284, 50925, 50740, 50284, 62063, 52693, 50857, 52693, 54086, 75386, 50795, 75386, 50795, 52684, 50845, 52684, 50845, 50799, 53278, 50810, 53278, 50810, 50740, 50284, 50830, 50740, 50284, 55587, 53654, 50844, 53654, 53450, 52507, 50822, 52507, 50822, 75386, 50897, 75386, 57066, 52684, 50844, 52684, 53614, 54008, 50844, 54008, 50844, 50740, 50284, 50942, 50740, 50284, 63634, 52507, 50822, 52507, 53140, 54008, 50844, 54008, 50844, 75386, 50849, 75386, 53702, 55314, 50937, 55314, 50937, 50799, 53679, 50810, 53679, 50810, 50740, 50287, 50795, 50740, 50287, 52115, 54008, 50810, 54008, 52654, 52507, 50854, 52507, 50854, 62251, 50925, 62251, 58191, 54008, 50820, 54008, 52600, 50740, 50287, 51235, 50740, 50287, 51235, 53679, 50983, 53679, 50983, 52583, 51295, 52583, 79766, 62251, 50865, 62251, 50865, 50799, 52065, 51014, 52065, 51014, 50740, 50279, 51388, 50740, 50279, 51388, 56117, 51210, 56117, 51210, 50420, 51794, 50962, 51794, 50962, 54541, 50941, 54541, 54654, 51426, 50894, 51426, 50894, 50740, 50286, 51021, 50740, 50286, 51021, 52695, 50907, 52695, 54661, 51301, 50962, 51301, 50962, 53064, 50971, 53064, 55108, 51491, 50962, 51491, 50962, 50740, 50279, 50923, 50740, 50279, 50923, 53780, 50971, 53780, 56069, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 55256, 51491, 50923, 51491, 50923, 50740, 50286, 51021, 50740, 50286, 51021, 53780, 51079, 53780, 51079, 63441, 50894, 51088, 50894, 50740, 50275, 51021, 50740, 50275, 51021, 51946, 50851, 51946, 54711, 51426, 50962, 51426, 50962, 52695, 51000, 52695, 56323, 51088, 50923, 51088, 50923, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 51079, 51946, 58151, 51491, 50894, 51491, 50894, 50740, 50279, 50923, 50740, 50279, 50923, 53780, 50907, 53780, 54682, 51426, 50962, 51426, 50962, 52695, 51126, 52695, 58271, 51491, 51388, 51491, 51388, 50740, 50286, 50923, 50740, 50286, 50923, 53780, 51884, 53780, 51884, 50799, 52065, 50894, 52065, 50894, 50740, 50279, 51021, 50740, 50279, 51021, 56117, 50912, 56117, 55869, 51794, 50962, 51794, 50962, 54541, 50971, 54541, 54689, 51426, 50962, 51426, 50962, 50740, 50286, 51014, 50740, 50286, 51014, 52695, 50971, 52695, 55487, 51301, 50894, 51301, 50894, 53064, 50912, 53064, 54793, 51491, 50894, 51491, 50894, 50740, 50279, 51014, 50740, 50279, 51014, 53780, 50907, 53780, 54682, 51426, 50962, 51426, 50962, 52695, 51000, 52695, 55634, 51491, 51388, 51491, 51388, 50740, 50286, 50923, 50740, 50286, 50923, 53780, 51753, 53780, 51753, 63441, 50894, 51088, 50894, 50740, 50275, 51021, 50740, 50275, 51021, 51946, 50874, 51946, 54448, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 54689, 51088, 51388, 51088, 51388, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 51481, 51946, 51481, 50438, 51491, 51552, 51491, 51552, 50740, 50279, 51388, 50740, 50279, 51388, 53780, 53280, 53780, 53280, 50450, 50740, 50286, 51021, 50740, 50286, 51021, 50799, 52065, 50894, 52065, 50894, 50740, 50279, 51021, 50740, 50279, 51021, 56117, 50907, 56117, 54964, 51794, 50962, 51794, 50962, 54541, 50971, 54541, 54689, 51426, 50962, 51426, 50962, 50740, 50286, 51014, 50740, 50286, 51014, 52695, 50941, 52695, 55286, 51301, 50962, 51301, 50962, 53064, 50971, 53064, 55108, 51491, 50962, 51491, 50962, 50740, 50279, 51014, 50740, 50279, 51014, 53780, 50971, 53780, 56069, 51426, 50962, 51426, 50962, 52695, 51297, 52695, 60258, 51491, 51388, 51491, 51388, 50740, 50286, 51021, 50740, 50286, 51021, 53780, 51481, 53780, 51481, 63441, 50894, 51088, 50894, 50740, 50275, 51014, 50740, 50275, 51014, 51946, 50912, 51946, 55869, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 54689, 51088, 51354, 51088, 51354, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 51642, 51946, 51642, 50438, 51491, 50894, 51491, 50894, 50740, 50279, 50923, 50740, 50279, 50923, 53780, 51123, 53780, 60466, 51426, 50962, 51426, 50962, 52695, 51126, 52695, 58271, 51491, 51354, 51491, 51354, 50740, 50286, 50923, 50740, 50286, 50923, 53780, 51797, 53780, 51797, 50799, 52065, 50894, 52065, 50894, 50740, 50279, 51014, 50740, 50279, 51014, 56117, 50912, 56117, 55869, 51794, 50962, 51794, 50962, 54541, 50971, 54541, 54689, 51426, 50894, 51426, 50894, 50740, 50286, 51021, 50740, 50286, 51021, 52695, 50912, 52695, 55100, 51301, 50962, 51301, 50962, 53064, 50941, 53064, 54927, 51491, 50894, 51491, 50894, 50740, 50279, 51014, 50740, 50279, 51014, 53780, 50907, 53780, 54682, 51426, 50962, 51426, 50962, 52695, 50971, 52695, 55256, 51491, 51388, 51491, 51388, 50740, 50286, 51021, 50740, 50286, 51021, 53780, 51481, 53780, 51481, 63441, 50894, 51088, 50894, 50740, 50275, 51021, 50740, 50275, 51021, 51946, 50851, 51946, 54711, 51426, 50962, 51426, 50962, 52695, 50941, 52695, 54654, 51088, 50923, 51088, 50923, 50740, 50283, 50923, 50740, 50283, 50923, 51946, 50972, 51946, 54938, 53148, 51573, 53148, 51573, 51491, 51573, 51491, 51573, 50740, 50279, 51354, 50740, 50279, 51354, 73293, 52441, 53780, 51679, 53780, 75589, 50740, 50286, 51014, 50740, 50286, 51014, 70321, 50962, 51301, 50962, 50740, 50284, 50894, 50740, 50284, 50894, 53064, 50941, 53064, 50941, 54120, 54878, 51491, 50894, 51491, 50894, 53780, 50907, 53780, 50907, 54027, 53906, 51088, 50894, 51088, 50894, 75386, 51014, 75386, 51014, 51946, 50851, 51946, 50851, 52182, 52749, 51113, 50962, 51113 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 14, 7630, 6568, 10, 3366, 219, 8, 980, 219, 5466, 6, 4246, 10, 6755, 12547, 6, 21072, 6, 3459, 13305, 6, 38668, 11212, 6, 8, 38668, 9590, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 163, 3694, 6, 19, 10, 33215, 16739, 9, 163, 119, 406, 6, 83, 401, 6, 8, 3676, 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 ]

[ 57530, 50796, 50796, 50461, 54263, 50937, 54932, 50977, 52591, 54263, 50942, 54932, 55440, 54615, 50977, 52290, 53961, 55979, 50866, 54102, 58346, 54263, 51194, 54932, 51043, 50447, 54615, 51221, 52290, 79100, 53036, 50974, 52974, 50838, 50799, 54263, 50942, 54932, 58793, 54263, 50942, 54932, 55440, 54263, 50942, 54932, 56799, 55979, 50987, 54102, 60676, 54263, 51194, 54932, 51043, 50447, 54615, 50943, 52290, 51003, 57731, 54615, 50855, 54932, 53901, 53918, 50855, 54102, 57903, 53918, 50855, 54102, 54215, 54615, 50925, 54932, 58927, 53036, 51025, 52792, 51411, 57731, 54615, 50836, 54932, 54156, 54263, 50836, 55810, 58511, 53918, 50862, 54102, 52810, 53918, 50862, 54102, 54350, 54615, 50833, 54932, 62079, 53036, 51056, 52792, 51267, 50799, 65033, 50774, 50304, 55234, 51187, 60008, 50863, 79151, 51714, 50417, 50774, 50304, 68349, 51545, 61132, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 70293, 50971, 50774, 50299, 62285, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50864, 51771, 50857, 52427, 51559, 59131, 51195, 75794, 50863, 51450, 51539, 59144, 51525, 56454, 53594, 52003, 50904, 52775, 50862, 51816, 50813, 51265, 56935, 51467, 54673, 52003, 50928, 52775, 71483, 51265, 50379, 52852, 51004, 51899, 51187, 57690, 51265, 79804, 56077, 52003, 50905, 52775, 50866, 51816, 50892, 51545, 50878, 51970, 50799, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52126, 50829, 51771, 50835, 52427, 70293, 50971, 50774, 50299, 62977, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50857, 51771, 50867, 52427, 51559, 59131, 51195, 75794, 50863, 51450, 51539, 59144, 51525, 56454, 53594, 52003, 50886, 52775, 50862, 51816, 74226, 56935, 51467, 54673, 52003, 50825, 52775, 50835, 51816, 63041, 51265, 50379, 52852, 51004, 51899, 51187, 57690, 51265, 79804, 56077, 52003, 51254, 52775, 50866, 51816, 50977, 51545, 50878, 51970, 50799, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 51350, 50971, 50774, 50299, 62285, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 51970, 50436, 51195, 75794, 50863, 51450, 51539, 59144, 51525, 56454, 53594, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50864, 51265, 56935, 51467, 61333, 51265, 50379, 52852, 54044, 50774, 50311, 54327, 51187, 55097, 50774, 50309, 80230, 51265, 79804, 56077, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50904, 51545, 50878, 51970, 50799, 65033, 50774, 50304, 55234, 51187, 50825, 79151, 51714, 50417, 50774, 50299, 50974, 50418, 51545, 68162, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 51350, 57515, 54563, 52966, 51350, 54690, 51187, 57531, 51195, 53705, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 80185, 52365, 66640, 51195, 75794, 50371, 52439, 50863, 51450, 51539, 50373, 52439, 60604, 51525, 50370, 53746, 58810, 53594, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 53036, 50977, 51265, 56935, 51467, 61333, 51265, 50379, 52852, 50365, 53746, 53421, 53036, 50938, 51471, 50453, 50798, 59617, 51265, 79804, 50364, 53746, 54059, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 52817, 50917, 51545, 50878, 51927, 53746, 59025, 51525, 50370, 53746, 50891, 69036, 50917, 52817, 50897, 65033, 50774, 50304, 55234, 51187, 60008, 50863, 79151, 51714, 50417, 50774, 50304, 68349, 51545, 61132, 50791, 57311, 52645, 50937, 52126, 50886, 51771, 50857, 52427, 50862, 52817, 50813, 51350, 50971, 50774, 50299, 62285, 54563, 54951, 52817, 57629, 51350, 54690, 51187, 54956, 52817, 58528, 51195, 53705, 52645, 50836, 52126, 50864, 51771, 50857, 52427, 50813, 52817, 53197, 52223, 59131, 52645, 50836, 51195, 75794, 52896, 52660, 50854, 52817, 53630, 52348, 54905, 53036, 63753, 52660, 53597, 50559, 57526, 53594, 52003, 50904, 52775, 50862, 51816, 50813, 53036, 74226, 56935, 51464, 54673, 52003, 50928, 52775, 71483, 52660, 50833, 51265, 50379, 52852, 53421, 53036, 56394, 51187, 55097, 53036, 65556, 51265, 79804, 54616, 52660, 50937, 52003, 50905, 52775, 50866, 51816, 50892, 53036, 50867, 51545, 50878, 71793, 53036, 50857, 60139, 50917, 52817, 50878, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52587, 50937, 52126, 50829, 51771, 50835, 52427, 50862, 52817, 50857, 51350, 50971, 50774, 50299, 62977, 54563, 54951, 52817, 57499, 51350, 54690, 51187, 54956, 52817, 58528, 51195, 53705, 52587, 50836, 52126, 50857, 51771, 50867, 52427, 50813, 52817, 59810, 52223, 59131, 52587, 50836, 51195, 75794, 52896, 54471, 50854, 52817, 59810, 52348, 59144, 54471, 53597, 50559, 57526, 53594, 52003, 50886, 52775, 50862, 51816, 74226, 56935, 51464, 54673, 52003, 50825, 52775, 50835, 51816, 50886, 53036, 63041, 54471, 50833, 51265, 50379, 52852, 53421, 53036, 56394, 51187, 55097, 53036, 63226, 51265, 79804, 54616, 52587, 50937, 52003, 51254, 52775, 50866, 51816, 50977, 52817, 50955, 51545, 50878, 51970, 64197, 51121, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 51350, 50971, 50774, 50299, 62285, 54563, 54951, 52817, 62782, 52887, 55035, 51350, 54690, 51187, 54956, 52817, 58528, 51195, 53705, 55252, 50977, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 52817, 52923, 52223, 59131, 51195, 75794, 52896, 52887, 51121, 52817, 60623, 52348, 59144, 51525, 57526, 53594, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50864, 53036, 50955, 51265, 56935, 51464, 61333, 51265, 50379, 52852, 53421, 53036, 50955, 55610, 57690, 51265, 79804, 54616, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50904, 53036, 50857, 51545, 50878, 71793, 53036, 50834, 64197, 50897, 52817, 50855, 65033, 50774, 50304, 55136, 51187, 50825, 79151, 51714, 50417, 52817, 50857, 50774, 50304, 64305, 51545, 68162, 50791, 57311, 52887, 50937, 52126, 50886, 51771, 50857, 52427, 50862, 51959, 50886, 52817, 50813, 51350, 50971, 50774, 50299, 62285, 54563, 54951, 52817, 52524, 54471, 50897, 52817, 50857, 51350, 54690, 51187, 54956, 52817, 60155, 51195, 53705, 54471, 50937, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 52817, 53983, 52223, 54483, 52817, 58853, 51195, 75794, 52896, 52587, 50897, 52817, 50914, 55418, 59144, 51525, 50371, 52439, 55147, 53594, 52587, 50835, 52647, 50886, 51771, 50857, 52427, 50862, 52092, 50886, 51265, 56935, 51916, 50371, 52439, 59265, 52365, 51258, 50448, 52587, 50917, 51265, 50379, 52852, 72667, 50870, 51899, 51187, 72512, 59617, 52587, 50864, 51265, 54199, 52660, 50937, 52126, 50864, 51771, 50857, 52427, 50813, 51959, 50886, 51545, 50878, 51525, 59500, 51437, 59789, 51525, 56533, 50825, 61163, 50938, 53278, 52147, 52507, 52147, 54008, 52147, 50774, 50304, 55234, 51187, 61819, 58593, 53719, 50846, 50774, 50304, 64523, 50791, 54303, 52645, 50917, 52126, 50867, 79779, 52427, 50855, 53719, 50839, 50774, 50299, 62285, 54563, 54604, 53719, 52992, 53719, 53754, 51187, 54956, 53719, 59508, 52834, 54075, 52126, 50886, 79779, 52427 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 11739, 9, 13305, 6, 38668, 11212, 6, 6755, 12547, 6, 21979, 8669, 6, 8, 12280, 3275, 1725, 3109, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 11956, 178, 5285, 20889, 4, 20, 15229, 7630, 6568, 6453, 9, 11098, 6, 26545, 6, 8, 657, 6, 442, 24, 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 ]

[ 57211, 51528, 50984, 51050, 52222, 50900, 52335, 50871, 52151, 50877, 52222, 51201, 51445, 51284, 51445, 50415, 51201, 51445, 51284, 51445, 50426, 51093, 56919, 51093, 51628, 50798, 51252, 51113, 50991, 50433, 51113, 62478, 51088, 73048, 75351, 51955, 50833, 51154, 51191, 50451, 51154, 51191, 51528, 50984, 51050, 52062, 50900, 52222, 50916, 52151, 50877, 52222, 51266, 51445, 51284, 51445, 50415, 51266, 51445, 51284, 51445, 50426, 51093, 66086, 75186, 51974, 51252, 51113, 50991, 50433, 51113, 62478, 51088, 73048, 75351, 51955, 50854, 51154, 50943, 50451, 51154, 50943, 51528, 51123, 51050, 51939, 50900, 52062, 50956, 52071, 50877, 52062, 51395, 51445, 51284, 51445, 50415, 51395, 51445, 51284, 51445, 50426, 51093, 60262, 70999, 51974, 51252, 51093, 51116, 50433, 51093, 70595, 51107, 63178, 68214, 51955, 50854, 51093, 66794, 51093, 54424, 51165, 53380, 50457, 51165, 53380, 51528, 51123, 51234, 52222, 50899, 52062, 50871, 52222, 50906, 52222, 51107, 51445, 51201, 51445, 50415, 51107, 51445, 51201, 51445, 51974, 51252, 51955, 50854, 51528, 50984, 51234, 51244, 50899, 52168, 50871, 51803, 50906, 51742, 51107, 51542, 51201, 51445, 50415, 51107, 51542, 51201, 51445, 50426, 51107, 51226, 50427, 51107, 51226, 51974, 51252, 51107, 51623, 50433, 51107, 77787, 51394, 51244, 50439, 51394, 79098, 51266, 63178, 51266, 50812, 51955, 50833, 51201, 51016, 50451, 51201, 51016, 51528, 50984, 51050, 52015, 50900, 52222, 50871, 51939, 50877, 51662, 51201, 51445, 51284, 51445, 50415, 51201, 51445, 51284, 51445, 50426, 51093, 63024, 51093, 50854, 51974, 51252, 51093, 50991, 50433, 51093, 62478, 51165, 64681, 72881, 51955, 50854, 51113, 60720, 51113, 51923, 51088, 68826, 51088, 50874, 51528, 51123, 51085, 51749, 50997, 79304, 51244, 50916, 51244, 50861, 51244, 51299, 51351, 51266, 51353, 51182, 51353, 50415, 51299, 51351, 51266, 51353, 51182, 51353, 51974, 51252, 51088, 51221, 50433, 51088, 78373, 51113, 63178, 51113, 50812, 51955, 50854, 51088, 64847, 51088, 52643, 51154, 51717, 50457, 51154, 51717, 51528, 55991, 51604, 50297, 51535, 50900, 51172, 50871, 51534, 50877, 51534, 51140, 51381, 51093, 52337, 51201, 52337, 51284, 52337, 50415, 51093, 52337, 51201, 52337, 51284, 52337, 56952, 54689, 50920, 70160, 50813, 51974, 58923, 67652, 51412, 50871, 51412, 50877, 51412, 51140, 64164, 50920, 53819, 50297, 54478, 50920, 67652, 50874, 51955, 57654, 53819, 50304, 50827, 58529, 50877, 56711, 50920, 51126, 51150, 50844, 51528, 58923, 53819, 50304, 51391, 50871, 51391, 50877, 51391, 51140, 51134, 56952, 54689, 50920, 70160, 50813, 51974, 63873, 67652, 51534, 50871, 51412, 50877, 51412, 51140, 66744, 50920, 60159, 50920, 51000, 51955, 55718, 53819, 50304, 57712, 58887, 50974, 51150, 54194, 50920, 53529, 50292, 50851, 51150, 50810, 51528, 58923, 53819, 50297, 51749, 50900, 59704, 51412, 50877, 51534, 51140, 50915, 56952, 52386, 50304, 50851, 53956, 52710, 50920, 70160, 50813, 60906, 58529, 60124, 53956, 55658, 51236, 50874, 51974, 63873, 67652, 51412, 50871, 51363, 79725, 51140, 51115, 53956, 53912, 50920, 53819, 50297, 51878, 50444, 51270, 54714, 74623, 50827, 54142, 50808, 51955, 50378, 52638, 54714, 53819, 50304, 61858, 59389, 50905, 51216, 50810, 53091, 51204, 50456, 51383, 54714, 74623, 50874, 51150, 50844, 51528, 66048, 53819, 50297, 51749, 50900, 51381, 50916, 51419, 50877, 51542, 51140, 51003, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 55658, 51236, 50874, 51974, 63873, 67652, 51534, 50916, 51412, 50877, 51412, 51140, 51115, 53956, 53912, 50920, 53819, 50297, 51878, 50444, 51270, 54714, 67652, 50874, 54142, 50805, 51955, 50378, 52638, 54714, 53819, 50304, 50822, 50916, 59389, 50892, 51216, 50810, 53091, 51141, 50456, 51383, 54714, 53529, 50304, 50827, 51150, 50844, 51528, 66048, 53819, 50297, 51477, 50900, 71326, 61817, 50995, 51140, 51351, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 55658, 51236, 50874, 51974, 63873, 67652, 51412, 50956, 51363, 79725, 51140, 51003, 53956, 53912, 50920, 53819, 50297, 63236, 51270, 54714, 67652, 50874, 51216, 50844, 54142, 50808, 51955, 50378, 52638, 54714, 53819, 50304, 50874, 76599, 62804, 53091, 55069, 51383, 54714, 51126, 51216, 50845, 51528, 58923, 53819, 50290, 51542, 50899, 51534, 50871, 51534, 50906, 51534, 51261, 51134, 54963, 51894, 56952, 54689, 50920, 70160, 55863, 51236, 50874, 51974, 63873, 52666, 50302, 51534, 50899, 51412, 50871, 50995, 51261, 51397, 50438, 50920, 53819, 50290, 51381, 50444, 51270, 54714, 52666, 50302, 50827, 51955, 50379, 52638, 54714, 53819, 50302, 50874, 50899, 60540, 54771, 51383, 54714, 53529, 50302, 50874, 51528, 58923, 53819, 50302, 51363, 50899, 60138, 50915, 51261, 51351, 56952, 50971, 53136, 53184, 50997, 55191, 50920, 70160, 50813, 53136, 53847, 51236, 50874, 51974, 63873, 52666, 50302, 51363, 50899, 58134, 50915, 51261, 51397, 53136, 53912, 50920, 60159, 51270, 54714, 52666, 50302, 50827, 54173, 50808, 51955, 50378, 52638, 54714, 53819, 50302, 73353, 60094, 50822, 53775, 66313, 51383, 54714, 51126, 51261, 50810, 51528, 66048, 53819, 50297, 51627, 50900, 51419, 50871, 61817, 50995, 51140, 51134, 53956, 55099, 50920, 50971, 54240, 53890, 50920, 70160, 50813, 54963, 55658, 51236, 50874, 51974, 63873, 67652, 51412, 50871, 60268, 50981, 51140, 51397, 54963, 51413, 50438, 50920, 60159, 51270, 54714, 67652, 50827, 51955, 50378, 52638, 54714, 53819, 50304, 64000, 58887, 56711, 51383, 54714, 51126, 51140, 50844, 54963, 50812, 51528, 66048, 53819, 50299, 51627, 50899, 51391, 50861, 51391, 60124, 50906, 51391, 51098, 51351, 54240, 51116, 56952, 54689, 50920, 70160, 50813, 54240, 53847, 51236, 50874, 51974, 63873, 74695, 51419, 50861, 51419, 50906, 51419, 51098, 51790, 54240, 78583, 50920, 60159, 51270, 54714, 51000, 53956, 50849, 51955, 50378, 52638, 54714, 53819, 50306, 50874, 50861, 64290, 50905, 54142, 53702, 51383, 54714, 53529, 50306, 50874, 53956, 51991, 51528, 58923, 53819, 50292, 51592, 50900, 51542, 50916, 51542, 50861, 51381, 51150, 51134, 56952, 54689, 50920, 70160, 55863, 51236, 50874, 51974, 63873, 67652, 72272, 59055, 51097, 53691, 66744, 50920, 60159, 51270, 54714, 51000, 51955, 50379, 52638, 54714, 53819, 50304, 50822, 50916, 58399, 50892, 51150, 57414, 51383, 54714, 53529, 50304, 50874, 51528, 58923, 53819, 50297, 51243, 50900, 51419, 50871, 51391, 50877, 51391, 51793, 51134, 56952, 50971, 53956, 52450, 50920, 70160, 50813, 53956, 53847, 51236, 50874, 51974, 63873, 67652, 60367, 58421, 50981, 51793, 51183, 53956, 53912, 50920, 60159, 51270, 54714, 51000, 54142, 50849, 51955, 50378, 52638, 54714, 53819, 50304, 61858, 59389, 50892, 53091, 51204, 50456, 51383, 54714, 53529, 50304, 50827, 51150, 50844, 51528, 66048, 53819, 50297, 77132, 51542, 50916, 51391, 50877, 51419, 51793, 51134, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 53847, 51236, 50874, 51974, 63873, 67652, 76371, 61817, 50995, 51793, 51047, 53956, 53912, 50920, 60159, 51270, 54714, 51000, 54142, 50849, 51955, 50378, 52638, 54714, 53819, 50304, 63784, 59389, 51412, 53091, 55069, 51383, 54714, 53529, 50304, 50822, 51150, 50810, 51528, 66048, 53819, 50297, 51592, 50900, 51542, 50956, 51419, 50877, 51419, 51793, 51452, 56952, 50971, 53956, 52710, 50920, 70160, 50813, 53956, 53847, 51236 ]

[ 0, 250, 15352, 30054, 11057, 1011, 625, 4246, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 278, 11, 10, 23667, 27841, 139, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2214, 6, 11, 5, 762, 9, 211, 3694, 6, 7630, 6568, 10, 19448, 8, 1372, 6711, 19, 10, 11602, 9, 1619, 4780, 4, 20, 33215, 16739, 9, 1918, 406, 6, 274, 401, 6, 163, 401, 6, 163, 428, 12361, 6, 8, 83, 401, 3639, 7, 63, 13363, 28191, 20299, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 51039, 57018, 51224, 50838, 51450, 51006, 51899, 50825, 53458, 71941, 51006, 51206, 51824, 50415, 50997, 50918, 51544, 57700, 51006, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50899, 60424, 58204, 52446, 51150, 66099, 71823, 51006, 50439, 51085, 51077, 50445, 50899, 68368, 59460, 50889, 52320, 50865, 51224, 71823, 51006, 53462, 52782, 51065, 76172, 77916, 54389, 71941, 71823, 51006, 76945, 51343, 74367, 50876, 51343, 51279, 51077, 61889, 51006, 51544, 57700, 51006, 51974, 51737, 51553, 63936, 50900, 59006, 52446, 51389, 66099, 51006, 51224, 71823, 51006, 50439, 51120, 63883, 51065, 57299, 51289, 57202, 57700, 51006, 53462, 52782, 53458, 71941, 71823, 51006, 50415, 51214, 51077, 50421, 51026, 50938, 51544, 57700, 51006, 50427, 50997, 72068, 50899, 50952, 51974, 52782, 50816, 51006, 51065, 64945, 50871, 59646, 51461, 66099, 71823, 51006, 50439, 50916, 51442, 50292, 50889, 50445, 50861, 50879, 52320, 50865, 51224, 71823, 51006, 50451, 50997, 56036, 60446, 63254, 54454, 53462, 52782, 51065, 76172, 50899, 51896, 50861, 51896, 50876, 51896, 51027, 51623, 53202, 67400, 71823, 61784, 50816, 51006, 51544, 57700, 57018, 51273, 67880, 51737, 51553, 50838, 51450, 51006, 51224, 71823, 51006, 69332, 51710, 50294, 51077, 50900, 63883, 51065, 52985, 51289, 57202, 57700, 51006, 53462, 51737, 53458, 71941, 71823, 51006, 50415, 51214, 60751, 51026, 50879, 51544, 57700, 51006, 50427, 51279, 50807, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50997, 56535, 50899, 65582, 50871, 54773, 51461, 79544, 71823, 51006, 50439, 50916, 70928, 51336, 50447, 50861, 51013, 52320, 50865, 51224, 71823, 51006, 50455, 50997, 70660, 70866, 73988, 51013, 53462, 52782, 51065, 51006, 62987, 67400, 71823, 51006, 76047, 66677, 69797, 75291, 54994, 50816, 51006, 51544, 53592, 63794, 50871, 54729, 51273, 59084, 51737, 51553, 63936, 61293, 50436, 50871, 50859, 51450, 51006, 51224, 71823, 51006, 50439, 50916, 74817, 70339, 56027, 51065, 51006, 50445, 50871, 55149, 51140, 51157, 51289, 57202, 57700, 51006, 73867, 50879, 53462, 52782, 50457, 50877, 70886, 62926, 54389, 71941, 71823, 51006, 50415, 51040, 50983, 50989, 50983, 51028, 50983, 51279, 51077, 51026, 51077, 51544, 57700, 51006, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50900, 65901, 70002, 57222, 51098, 66099, 71823, 51006, 50439, 51026, 70425, 51279, 50865, 52320, 60858, 58253, 70792, 51026, 74824, 57341, 51923, 50798, 51737, 51065, 67590, 50900, 62352, 51048, 50916, 50983, 56098, 67400, 71823, 51006, 74354, 51013, 61889, 70631, 51279, 50865, 51544, 57700, 51006, 50427, 51026, 51828, 50305, 60826, 54729, 51560, 59084, 52782, 51553, 51006, 50433, 51026, 51710, 50305, 51364, 50956, 51364, 51450, 51006, 51224, 71823, 51006, 50439, 51026, 60021, 51065, 51006, 50445, 51279, 55178, 51098, 51157, 51289, 53284, 53592, 70792, 51026, 50889, 53462, 52782, 54204, 67400, 51006, 51206, 51824, 50415, 50997, 50983, 50421, 50877, 56730, 55673, 50795, 51544, 57700, 57018, 51098, 59084, 52782, 50816, 51006, 51065, 51006, 50433, 50997, 51623, 51450, 71823, 51006, 74933, 67734, 57341, 63831, 50918, 50445, 50931, 55149, 51150, 70504, 50865, 51224, 71823, 51006, 50451, 50951, 51013, 53462, 52782, 51065, 51006, 60200, 58747, 71823, 51006, 50415, 50989, 70215, 50918, 51050, 51077, 51027, 51077, 50899, 51077, 50876, 54994, 50816, 51006, 51544, 53592, 53052, 51389, 59084, 52782, 51553, 51006, 51450, 51006, 51224, 71823, 51006, 50439, 50989, 73470, 74886, 60865, 51065, 57299, 51216, 51157, 51289, 57202, 57700, 51006, 53462, 52782, 50457, 51026, 50795, 53458, 71941, 71823, 51006, 74354, 57952, 64325, 51141, 50871, 51141, 50421, 50877, 57253, 50879, 51544, 57700, 51006, 50427, 50906, 60446, 50879, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 50997, 51623, 50916, 51623, 50877, 77787, 51461, 66099, 58253, 70381, 50876, 59900, 62902, 50902, 52297, 50321, 51013, 52320, 50865, 51224, 71823, 51006, 50455, 50968, 52297, 50323, 51013, 53462, 52782, 51065, 51006, 53202, 67400, 71823, 51006, 50415, 50989, 50818, 51050, 50918, 51027, 65842, 76971, 50861, 69020, 60055, 50816, 51006, 51544, 57700, 57018, 51098, 59084, 52782, 51553, 51006, 50433, 50871, 50805, 51450, 51006, 51224, 71823, 51006, 50439, 51120, 51077, 50900, 63883, 51065, 57299, 51216, 51157, 51289, 57202, 57700, 51006, 53462, 52782, 54204, 67400, 51006, 51335, 51824, 74354, 51141, 76233, 50968, 51141, 50997, 51077, 50899, 51077, 51544, 53592, 53052, 51140, 59084, 52782, 50816, 51006, 51065, 51006, 50433, 50871, 56876, 58050, 50805, 51450, 58253, 67446, 50997, 51623, 50899, 51623, 50450, 51261, 51204, 50791, 50865, 51224, 71823, 51006, 50451, 74367, 76233, 50968, 51141, 53462, 52782, 51065, 51006, 51528, 71823, 61784, 51140, 51134, 50816, 51006, 50421, 55179, 50877, 55673, 50805, 51544, 57700, 51006, 73343, 50889, 51974, 52782, 51553, 51006, 50433, 51315, 61086, 51493, 67400, 71823, 51006, 51335, 51824, 50439, 50899, 51141, 50965, 51141, 51028, 50983, 50968, 60865, 50816, 51006, 52320, 50865, 51553, 59781, 51493, 59084, 74728, 50866, 50457, 51040, 74830, 57367, 50805, 56703, 52192, 50843, 61784, 50816, 51006, 50421, 51197, 67297, 51560, 59084, 51006, 51206, 51254, 50856, 51006, 50427, 50956, 51141, 50861, 51343, 50973, 51343, 50931, 57345, 51224, 61449, 51224, 58867, 51261, 67400, 74728, 50866, 50445, 50956, 64294, 56190, 57367, 50805, 51899, 52192, 50843, 59781, 50816, 76172, 51120, 51623, 54079, 67400, 51006, 51335, 51006, 76945, 51141, 50989, 51343, 50973, 51274, 51114, 60055, 51326, 52192, 51694, 52782, 50791, 50865, 51326, 57018, 51216, 59084, 52782, 51553, 51006, 50433, 50900, 52014, 50310, 58654, 58050, 50805, 51450, 51006, 51224, 71823, 58867, 51065, 67446, 51120, 64712, 51273, 51109, 50816, 74728, 57700, 51006, 50451, 63365, 50989, 60939, 51608, 50322, 50889, 53462, 52782, 53458, 71941, 51006, 51206, 51254, 76751, 72341, 76110, 52297, 50299, 51077, 51544, 57700, 51006, 73343, 57631, 58835, 50889, 51974, 52782, 50816, 51006, 51065, 56480, 51150, 56902, 71823, 51006, 50439, 50899, 71063, 67782, 50805, 51085, 51077, 50445, 50877, 52610, 51461, 70956, 50865, 51224, 71823, 51006, 50451, 50899, 68368, 57631, 53312, 50798, 52782, 51065, 51006, 54389, 71941, 71823, 51006, 76945, 64464, 69020, 50983, 51279, 51077, 61889, 51006, 51544, 57700, 51006, 51974, 52782, 51553, 51006, 50433, 50900, 51141, 50871, 68499, 53240, 56902, 51006, 51224, 71823, 51006, 50439, 51120, 72758, 51065, 57299, 51389, 51253, 51289, 57202, 57700, 51006, 53462, 52782, 50457, 61795, 53458, 71941, 71823, 51006, 65882, 59460, 64292, 52530, 50318, 50807, 50421, 61795, 51544, 57700, 51006, 73343, 58421, 72341, 52530, 50318, 51016, 51974, 52782, 50816, 51006, 51065, 51006, 50433, 51085, 74492, 52446, 53691, 56902, 58253, 70381, 50916, 57631, 62542, 64953, 50445, 51085, 74492, 52596, 51150, 70956, 50865, 51224, 71823, 51006, 50451, 50916, 57631, 56793, 63402, 50889, 53462, 52782, 51065, 76172, 51027, 51141, 54389, 54070, 71823, 51006, 74354, 51189, 50876, 78776, 67729, 51140, 51134, 50816, 51006, 51544, 53592, 63794, 50900, 51141, 51974, 52782, 51553, 51006, 50433, 51120, 68036, 60939, 61739, 53912, 51273, 79544, 51006, 51224, 71823, 58867, 50816, 52192, 51065, 51006, 50445, 50900, 62159, 60452, 63681, 50893 ]

[ 0, 250, 251, 6, 2635, 12, 20764, 15855, 2125, 11, 155, 73, 306, 86, 6, 278, 11, 5, 762, 9, 83, 3694, 4, 20, 21979, 8669, 1974, 10, 19448, 8, 5679, 26709, 33301, 6, 7630, 14805, 41, 11653, 8, 25306, 5466, 4, 20, 15229, 1575, 10, 33215, 16739, 9, 230, 6, 274, 6, 211, 119, 401, 6, 381, 6, 8, 381, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50624, 51444, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 51131, 60010, 50947, 53467, 50624, 50947, 58067, 50947, 52329, 59205, 50427, 50624, 50428, 50947, 54056, 50947, 58607, 50624, 50947, 52359, 51131, 57775, 50947, 53307, 50947, 58291, 50947, 52444, 61337, 50440, 50929, 54790, 50929, 58344, 50624, 50443, 50929, 52510, 51131, 59830, 50929, 53401, 50929, 59248, 71705, 64857, 51161, 50416, 50970, 54745, 50970, 59182, 50970, 52628, 51131, 60010, 50970, 53467, 50970, 58067, 50970, 52329, 59241, 50428, 50970, 54056, 50970, 58607, 50970, 52359, 51131, 57775, 50970, 53307, 50970, 58291, 50970, 52444, 50998, 61187, 50624, 50440, 50929, 54790, 50929, 59586, 50929, 52510, 51131, 59830, 50929, 53401, 50929, 59248, 71705, 64857, 51161, 50416, 50947, 54745, 50947, 59748, 50624, 50419, 50947, 52628, 51131, 60010, 50947, 53467, 50947, 58067, 50947, 52329, 59205, 50428, 50947, 54056, 50947, 58607, 50947, 52359, 51131, 57775, 50947, 53307, 50947, 58291, 50947, 52444, 59205, 50440, 50947, 54790, 50947, 59586, 50947, 52510, 51131, 59830, 50947, 53401, 50947, 59248, 67640, 64857, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 51131, 60010, 50624, 50947, 53467, 50947, 58067, 50947, 52329, 59205, 50428, 50947, 54056, 50947, 58607, 50947, 52359, 51131, 57775, 50947, 53307, 50947, 58291, 50947, 52444, 61675, 50440, 50624, 51064, 54790, 51064, 59586, 51064, 52510, 50624, 56422, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 51034, 51504, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 56422, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 56422, 50434, 51032, 53307, 51032, 58291, 51032, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 51064, 52510, 56422, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 51034, 51504, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 56422, 50422, 50947, 53467, 50947, 58067, 50947, 52329, 59205, 50428, 50947, 54056, 50947, 58607, 50947, 52359, 56422, 50434, 50947, 53307, 50947, 59079, 50624, 50437, 50947, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 51064, 52510, 56422, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 51034, 51504, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 56422, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 50624, 56422, 50434, 51032, 53307, 51032, 58291, 51032, 52444, 57304, 50440, 51032, 54790, 51032, 59586, 51032, 52510, 56422, 50446, 51032, 53401, 51032, 59248, 70903, 51034, 51504, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 56422, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 56422, 50434, 51032, 53307, 51032, 59079, 50624, 50437, 51032, 52444, 57304, 50440, 51032, 54790, 51032, 59586, 50624, 51032, 52510, 56422, 50446, 51032, 53401, 51032, 59248, 70903, 51034, 51246, 51161, 50416, 50624, 51438, 54745, 51438, 59182, 51438, 52628, 59205, 50422, 51438, 53467, 51438, 58067, 51438, 52329, 62978, 50428, 51438, 54056, 51438, 58607, 51438, 52359, 50970, 57775, 51438, 53307, 51438, 58291, 51438, 52444, 60502, 50440, 51292, 54790, 51292, 59586, 51292, 52510, 59205, 50446, 51292, 53401, 51292, 59248, 51292, 50809, 51034, 51246, 51161, 50416, 51067, 54745, 51067, 59182, 51067, 52628, 59205, 50421, 50624, 50422, 51067, 53467, 51067, 58067, 50624, 51067, 52329, 63139, 50428, 51067, 54056, 51067, 58607, 51067, 52359, 59205, 50433, 50624, 50434, 51067, 53307, 51067, 58291, 50624, 51067, 52444, 51207, 65213, 51292, 54790, 51292, 59586, 51292, 52510, 51064, 59513, 50624, 50446, 51292, 53401, 51292, 59248, 51292, 50809, 80264, 51161, 50416, 51067, 54745, 51067, 59182, 51067, 52628, 50998, 60010, 51067, 53467, 50624, 51292, 58067, 51067, 52329, 57304, 50428, 51316, 54056, 51316, 58607, 51316, 52209, 50998, 57775, 51316, 53307, 51316, 58291, 51316, 52444, 57304, 50440, 51316, 54790, 51316, 59586, 51316, 52510, 50998, 59830, 51316, 53401, 50624, 51316, 59248, 51316, 50809, 80264, 51161, 50416, 51316, 54745, 51316, 59182, 51316, 52628, 50929, 60010, 51316, 53467, 51316, 58067, 51316, 52329, 57304, 50428, 51316, 54056, 51316, 58607, 51316, 52209, 50929, 57775, 51316, 53307, 51316, 58291, 50624, 51316, 52444, 57304, 50440, 51316, 54790, 51316, 59586, 51316, 52510, 50624, 50929, 59830, 51316, 53401, 50624, 51316, 59248, 51316, 50809, 64857, 51161, 50416, 51549, 54745, 51549, 59182, 51549, 52628, 51078, 60010, 51549, 53467, 51549, 58067, 50624, 51549, 52329, 57304, 50428, 51549, 54056, 51549, 58607, 51549, 52359, 50624, 51078, 57775, 50624, 51549, 53307, 51549, 58291, 50624, 51549, 52444, 57304, 50440, 51067, 54790, 51067, 58344, 50624, 50443, 51067, 52510, 51078, 59830, 51067, 53401, 51067, 59248, 50624, 73369, 51034, 52028, 51161, 50416, 51032, 54745, 51032, 59182, 51032, 52628, 59241, 50422, 51032, 53467, 51032, 58067, 51032, 52329, 57304, 50428, 51032, 54056, 51032, 58607, 51032, 52359, 50960, 57775, 51032, 53307, 51032, 58291, 51032, 52444, 63139, 50440, 51067, 54790, 51067, 59586, 51067, 52510, 59241, 50446, 51067, 53401, 51067, 59248, 73369, 76004, 51161, 50416, 51032, 54745, 51032, 59748, 50624, 50419, 51032, 52628, 57304, 50422, 51032, 53467, 51067, 58067, 51032, 52329, 61675, 50428, 51064, 54056, 51064, 58607, 51064, 52209, 59241, 50433, 50624, 50434, 51064, 53307, 51064, 58291, 51064, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 50624, 51064, 52510, 59241, 50446, 51064, 53401, 51064, 59248, 51064, 50809, 76004, 75189, 50624, 50416, 51064, 54745, 51064, 59182, 51064, 52628, 50624, 59241, 50422, 51064, 53467, 51064, 58067, 51064, 52329, 61675, 50428, 50624, 51064, 54056, 51064, 58607, 51064, 52209, 50960, 57775, 51064, 53307, 50624, 51064, 58291, 51064, 52444, 61675, 50440, 51064, 54790, 51064, 59586, 51064, 52510, 59241, 50446, 50624, 51064, 53401, 51064, 59248, 51064, 50809, 76004, 51161, 50416, 50947, 54745, 50947, 59182, 50947, 52628, 59241, 50422, 50947, 53467, 50947, 58067, 50947, 52329, 61337, 50428, 50947, 54056, 50947, 58607, 50947, 52209, 50960, 57775, 50947, 53307, 50624, 50947, 58291, 50624, 50947, 52444, 61337, 50440, 50929, 54790, 50929, 59586, 50929, 52510, 59241, 50446, 50929, 53401, 50929, 59248, 50624, 71705, 51034, 53271, 51161, 50416, 50970, 54745, 50970, 59182, 50970, 52628, 51846, 60010, 50970, 53467, 50970, 58067, 50970, 52329, 59241, 50428, 50970, 54056, 50970, 57766, 50624, 50431, 50970, 52359, 51846, 57775, 50970, 53307, 50970, 58291, 50970, 52444, 59241, 50440, 50929, 54790, 50929, 59586, 50929, 52510, 51846, 59830, 50929, 53401, 50624, 50929, 59248, 71705, 51034, 50624, 52012, 51161, 50416, 50970, 54745, 50970, 59182, 50970, 52628, 51131, 60010, 50970, 53467, 50929, 58067, 50970, 52329, 61728, 50428, 50998, 54056, 50998, 58607, 50998, 52359, 51131, 57775, 50998, 53307, 50998, 58291, 50998, 52444, 61728, 50440, 50998, 54790, 50998, 59586, 50998, 52510, 51131, 59830, 50998, 53401, 50998, 59248, 68241, 80264, 51161, 50416, 50998, 54745, 50998, 59182, 50998, 52628, 51131, 60010, 50624, 50998, 53467, 50998, 58067, 50624, 50998, 52329, 61728, 50428, 50998, 54056, 50998, 58607, 50998, 52359, 51131, 57775, 50998, 53307, 50998, 58291, 50998, 52444 ]

[ 0, 250, 5679, 26709, 5175, 25771, 2214, 14, 7630, 6568, 10, 1472, 9, 15073, 8, 980, 4, 26602, 12547, 6, 38668, 22052, 6, 38668, 483, 6, 38668, 20535, 6, 8, 13305, 1045, 10, 2635, 6, 2369, 18795, 12, 3341, 5466, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 1812, 741, 1685, 6, 4246, 10, 33215, 16739, 9, 274, 6, 1918, 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 ]

[ 57448, 51716, 50914, 52009, 50914, 52547, 55973, 51716, 50914, 52009, 50914, 52547, 55965, 51384, 50795, 51716, 50914, 52009, 50914, 52547, 56157, 51811, 51798, 51304, 50795, 51716, 50914, 52009, 50914, 52547, 56934, 51384, 50795, 50799, 51394, 50918, 52072, 50914, 53034, 50914, 52547, 55973, 52072, 50914, 53034, 50914, 52547, 55965, 51201, 50918, 52072, 50914, 53034, 55441, 52072, 50914, 53034, 50914, 50799, 51716, 50914, 52009, 50914, 52547, 55973, 51716, 50914, 52009, 50914, 52547, 55965, 51384, 50795, 51716, 50914, 52009, 50914, 52547, 56157, 51811, 51798, 51304, 50795, 51716, 50914, 52009, 50914, 52547, 56934, 51384, 50795, 50799, 51394, 50918, 52072, 50914, 53034, 50914, 52547, 55973, 52072, 51486, 53034, 51486, 52547, 51486, 50438, 51690, 50918, 50799, 53949, 51103, 54638, 51103, 59327, 51103, 51201, 50918, 54064, 51103, 52016, 51103, 51716, 64050, 52479, 50845, 52452, 50845, 53949, 51103, 54638, 51103, 51638, 64096, 50795, 54064, 51103, 52016, 64486, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52696, 50845, 53079, 50845, 51154, 72233, 65283, 50914, 55285, 56934, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 50799, 53015, 51047, 51426, 50918, 50714, 50297, 50914, 65283, 50914, 56698, 55973, 50714, 50297, 50914, 65283, 50914, 56698, 55965, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 55441, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 50914, 50799, 59327, 51103, 63597, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 65283, 50914, 56586, 50914, 55285, 55965, 52479, 50845, 52452, 50845, 51638, 64096, 50795, 56586, 50914, 55285, 56157, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52452, 50845, 53079, 50845, 51251, 72233, 65283, 50914, 55285, 56934, 52452, 50845, 54205, 50845, 51251, 50795, 65518, 50799, 52696, 51422, 53512, 51422, 55014, 51486, 51154, 51161, 51093, 51161, 51821, 51486, 65283, 50914, 58314, 50914, 55285, 55973, 65283, 50914, 58314, 50914, 55285, 55965, 77030, 50914, 58314, 50914, 55390, 55441, 77030, 50914, 58314, 50914, 55390, 50914, 50799, 59327, 51103, 63597, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 65283, 50914, 56586, 50914, 55285, 55965, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 65283, 50914, 56586, 50914, 55285, 56157, 53079, 50845, 53512, 50845, 51113, 50795, 51093, 51798, 54205, 50845, 55939, 50845, 65518, 65431, 65283, 50914, 56586, 50914, 55285, 56934, 54205, 50845, 57390, 50845, 65518, 67733, 50799, 58428, 51047, 58714, 51103, 51201, 50918, 51701, 51103, 56586, 50914, 53655, 55973, 77030, 50914, 55390, 55965, 55939, 50845, 58428, 50845, 65431, 65979, 56586, 51103, 55026, 51103, 53655, 64486, 53512, 50845, 57390, 50845, 60595, 51395, 51798, 54205, 50845, 55939, 50845, 65518, 51107, 51923, 53079, 50845, 53512, 50845, 51113, 50795, 60595, 50799, 52174, 51047, 54205, 51047, 53370, 51103, 77853, 51165, 50918, 51678, 51103, 58314, 50914, 55026, 50914, 71018, 50914, 56139, 55973, 58314, 50914, 55026, 50914, 71018, 50914, 56139, 55965, 53512, 50845, 57390, 50845, 60595, 67733, 58314, 51103, 55026, 51103, 71018, 51103, 56139, 64486, 54205, 50845, 55939, 50845, 65518, 51107, 51798, 53079, 50845, 53512, 50845, 51113, 50795, 51093, 51923, 52174, 50845, 54205, 50845, 51088, 50795, 65518, 50799, 52479, 51047, 52696, 51047, 53733, 51103, 51638, 50918, 51154, 50918, 51821, 51103, 65283, 50914, 58314, 50914, 55285, 55973, 65283, 50914, 58314, 50914, 55285, 55965, 65283, 51103, 58314, 51103, 55285, 66563, 53511, 50849, 51716, 53702, 53370, 50849, 51678, 50849, 50799, 54511, 51103, 53733, 51103, 52016, 51103, 51821, 51103, 58084, 50914, 53248, 55973, 65283, 50914, 55285, 55965, 52452, 50845, 51251, 51918, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52696, 50845, 53079, 50845, 51154, 61503, 51923, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 50799, 53015, 51047, 51426, 50918, 50714, 50297, 50914, 65283, 50914, 56698, 55973, 50714, 50297, 50914, 65283, 50914, 56698, 55965, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 55441, 50714, 50297, 50914, 77030, 50914, 58084, 50914, 56698, 50914, 50799, 53511, 51103, 55014, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 50714, 50297, 50914, 56698, 55965, 52452, 50845, 51251, 50795, 56586, 51189, 53655, 69279, 52452, 50845, 52696, 50845, 51251, 78099, 51798, 52696, 50845, 53079, 50845, 51154, 61503, 51923, 52174, 50845, 54205, 50845, 51088, 50795, 65518, 72844, 50849, 55383, 50849, 50799, 54097, 51047, 53512, 51047, 59642, 51103, 51375, 50918, 76180, 52398, 51103, 50714, 50297, 50914, 58314, 50914, 56698, 55973, 50714, 50297, 50914, 58314, 50914, 56698, 55965, 54205, 50845, 55939, 50845, 65518, 65431, 69145, 51103, 56586, 51103, 61308, 64486, 54097, 50845, 53512, 50845, 73199, 51093, 51798, 54205, 50845, 55939, 50845, 65518, 51107, 51923, 54205, 50845, 58428, 50845, 65518, 65979, 50799, 52174, 51047, 54205, 51047, 55931, 51103, 77853, 51165, 50918, 51678, 51103, 50714, 50295, 50914, 56586, 50914, 71018, 55973, 50714, 50295, 50914, 56586, 50914, 71018, 55965, 52174, 50845, 54205, 50845, 51088, 50795, 65518, 58314, 50914, 56139, 56157, 53079, 50845, 51113, 51798, 52696, 50845, 54205, 50845, 51154, 50795, 65518, 56586, 50914, 53655, 56934, 55939, 50845, 65431, 50799, 53015, 51047, 53511, 51103, 51426, 50918, 52233, 51103, 58084, 50914, 53248, 55973, 72844, 50914, 55383, 55965, 55939, 50845, 65431, 65283, 50914, 58314, 50914, 55285, 56157, 57390, 50845, 51395, 51798, 53079, 50845, 53512, 50845, 51113, 50795, 60595, 50714, 50297, 50914, 58314, 50914, 56698, 56934, 55939, 50845, 65431, 50799, 54205, 52644, 60047, 51103, 51165, 52045, 52072, 51103, 65283, 50914, 56586, 50914, 55285, 55973, 65283, 50914, 56586, 50914, 55285, 55965, 59327, 51103, 63597, 51103, 51716, 51103, 52547, 51103, 65283, 50914, 56586, 50914, 55285, 55441, 65283, 50914, 56586, 50914, 55285, 50914, 50799, 60047, 51103, 63597, 51103, 52072, 51103, 52547, 51103, 50714, 50297, 50914, 58314, 50914, 56698, 55973, 50714, 50297, 50914, 58314, 50914, 56698, 55965, 52696, 50845, 54205, 50845, 55014, 77364, 50795, 65518, 51821, 50849, 50714, 50297, 51103, 58314, 51103, 56698, 64486, 53079, 50845, 53512, 50845, 58714, 50849, 51113, 50795, 60595, 51701, 53794, 54205, 50845, 55939, 50845, 60047, 50849, 65518, 65431, 52072, 53702, 53512, 50845, 57390, 50845, 60047, 50849, 65518, 67733, 52072, 50849, 50799, 53079, 51047, 58428, 51047, 58714, 51103, 51113, 50918, 51201, 50918, 51701, 51103, 50714, 50294, 50914, 66417, 55973, 77030, 50914, 55390, 55965, 58714, 51189, 51701, 51189, 56586, 50914, 53655, 55441, 77030, 50914, 55390, 56934, 63597, 50849, 52547, 50849, 50799, 55931, 51103, 63597, 51103, 51678, 51103, 52547, 51103, 50714, 50295, 50914, 71018, 55973, 65283, 50914, 55285, 55965, 53015, 50845, 52174, 50845, 51426, 67583, 50795, 58314, 51103, 56139, 64486, 53015, 50845, 53079, 50845, 51426, 61503, 51798, 52174, 50845, 54205, 50845, 51088, 50795, 51165, 51923, 53512, 50845, 58758, 50845, 67733, 70446, 50799, 53079, 51047, 58428, 51047, 58714, 51103, 51113, 50918, 51201, 50918, 51701, 51103, 50714, 50294, 50914, 66417, 55973, 77030, 50914, 55390, 55965, 58714, 51189, 51701, 51189 ]

[ 0, 250, 765, 6, 20425, 5175, 3836, 37903, 11, 272, 10431, 3694, 6, 4246, 10, 881, 21263, 9, 5, 33215, 16739, 2060, 119, 6, 3676, 1176, 406, 6, 2060, 119, 6, 8, 230, 10431, 406, 6, 278, 11, 10, 20902, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 9, 8325, 13410, 228, 2289, 6, 7630, 14805, 10, 15352, 30054, 8, 1372, 1035, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51360, 62030, 57981, 55648, 59688, 51631, 51360, 62030, 57981, 55648, 59688, 51646, 51315, 68339, 57981, 55648, 59688, 53658, 51315, 68339, 57981, 55648, 61907, 51923, 51279, 77531, 57981, 55648, 59688, 50795, 55547, 77531, 57981, 55648, 59688, 51631, 51279, 77531, 57981, 55648, 61907, 51736, 51279, 77531, 57981, 55648, 59688, 51646, 51279, 77531, 57981, 55648, 57883, 53658, 51279, 77531, 57981, 55648, 59688, 55000, 51279, 77531, 57981, 55648, 61907, 50795, 57497, 62030, 57981, 55648, 59688, 51631, 51360, 62030, 57981, 55648, 59688, 51646, 51378, 64404, 57981, 55648, 59688, 53658, 51378, 64404, 57981, 55648, 61907, 51923, 51324, 77821, 57981, 55648, 59688, 50795, 58066, 77821, 57981, 55648, 59688, 51631, 51324, 77821, 57981, 55648, 61907, 51736, 51324, 77821, 57981, 55648, 59688, 51646, 51324, 77821, 57981, 55648, 57883, 53658, 51324, 77821, 57981, 55648, 59688, 55000, 51324, 77821, 57981, 55648, 61907, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 42, 765, 2214, 1575, 10, 13305, 8, 2352, 6757, 6, 7630, 14805, 10, 19448, 8, 3722, 5466, 1969, 13, 10, 822, 50, 4149, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 272, 6, 211, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 58496, 51077, 56487, 51077, 54977, 51077, 54602, 51077, 54391, 51077, 56968, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 79721, 50876, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 54602, 70156, 57631, 50889, 50799, 54602, 51264, 57255, 51264, 54304, 51264, 50861, 51264, 50973, 51264, 50902, 51264, 50799, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 57237, 70156, 68368, 50889, 50799, 57237, 51264, 54602, 51264, 54391, 51264, 50916, 51264, 50861, 51264, 50876, 51264, 50799, 57237, 51077, 55010, 51077, 54391, 51077, 50916, 51538, 50877, 51077, 50876, 51264, 50438, 66205, 50889, 54602, 51608, 50303, 57631, 55082, 56301, 50889, 57862, 50889, 55128, 51608, 50297, 51608, 50301, 59428, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 61086, 56487, 51077, 55546, 51077, 54602, 51077, 51026, 51077, 50899, 51077, 79721, 50799, 57862, 51077, 54977, 51077, 55128, 51077, 51027, 51077, 50900, 75427, 61086, 56487, 50889, 54977, 50889, 57237, 76195, 70156, 68368, 55082, 56301, 50889, 66205, 50889, 55546, 51608, 50297, 51608, 50303, 62525, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 51264, 50438, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 50799, 50670, 50291, 51264, 56487, 51264, 55546, 51264, 54602, 51264, 51324, 51264, 51026, 51264, 50899, 51264, 50861, 51264, 50799, 58496, 51264, 56487, 51264, 54977, 51264, 54602, 51264, 51085, 51264, 51026, 51264, 50900, 51264, 50861, 51264, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 61086, 57255, 51077, 56146, 51077, 59296, 51077, 50973, 51077, 50931, 51077, 51220, 51077, 50799, 54391, 51077, 55849, 51077, 59058, 51077, 50876, 51077, 50951, 51077, 51062, 61086, 54602, 51077, 57255, 51077, 54304, 51077, 55849, 51077, 50861, 51264, 50973, 51077, 50902, 51077, 50951, 51077, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 51264, 50438, 57237, 51077, 54602, 51077, 57255, 51077, 50916, 51077, 79721, 50973, 51264, 50799, 56301, 50889, 54977, 50889, 55128, 51608, 50297, 70156, 59428, 54243, 56487, 50889, 55546, 50889, 54602, 76195, 62525, 57631, 53912, 66138, 51264, 54977, 52024, 57237, 51264, 51315, 51264, 50900, 52024, 50916, 51264, 61627, 54602, 51264, 54391, 51264, 56968, 51264, 50861, 51264, 50876, 51264, 50968, 51264, 61627, 57255, 51077, 56968, 51077, 55849, 51077, 50973, 51077, 50968, 51077, 50951, 51077, 50799, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 53912, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 55082, 54304, 50889, 55849, 50889, 59296, 61471, 51077, 50951, 51623, 51220, 51538, 50799, 58496, 51077, 56487, 51077, 54977, 51077, 54602, 51077, 54391, 51077, 56968, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 79721, 50876, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 54602, 70156, 57631, 50889, 50799, 54602, 51264, 57255, 51264, 54304, 51264, 50861, 51264, 50973, 51264, 50902, 51264, 50799, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 61086, 58496, 50889, 56487, 50889, 54977, 51608, 50292, 51264, 51026, 51077, 50900, 55082, 54977, 50889, 57237, 70156, 53363, 50916, 50889, 50799, 56487, 51077, 54602, 51077, 57255, 51077, 51026, 51077, 79721, 50973, 61086, 56301, 51077, 55128, 51077, 55010, 51077, 51050, 51264, 50871, 74114, 51264, 50799, 54977, 51077, 57237, 51077, 50900, 51077, 50916, 61086, 66205, 50889, 55546, 51608, 50303, 62525, 55082, 54977, 50889, 57237, 70156, 68368, 50889, 50799, 57237, 51264, 54602, 51264, 54391, 51264, 50916, 51264, 50861, 51264, 50876, 51264, 50799, 57237, 51077, 55010, 51077, 54391, 51077, 50916, 51538, 50877, 51077, 50876, 51264, 50438, 66205, 50889, 54602, 51608, 50303, 57631, 55082, 56301, 50889, 57862, 50889, 55128, 51608, 50297, 51608, 50301, 59428, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 61086, 56487, 51077, 55546, 51077, 54602, 51077, 51026, 51077, 50899, 51077, 79721, 50799, 57862, 51077, 54977, 51077, 55128, 51077, 51027, 51077, 50900, 75427, 61086, 56487, 50889, 54977, 50889, 57237, 76195, 70156, 68368, 55082, 56301, 50889, 66205, 50889, 55546, 51608, 50297, 51608, 50303, 62525, 50889, 50799, 56487, 51077, 54977, 51077, 57237, 51077, 51026, 51077, 50900, 51077, 50916, 51264, 50438, 58496, 51077, 56487, 51077, 54977, 51077, 51085, 51077, 51026, 51077, 50900, 51077, 50799, 50670, 50291, 51264, 56487, 51264, 55546, 51264, 54602, 51264, 51324, 51264, 51026, 51264, 50899, 51264, 50861, 51264, 50799, 58496, 51264, 56487, 51264, 54977, 51264, 54602, 51264, 51085, 51264, 51026, 51264, 50900, 51264, 50861, 51264, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 61086, 57255, 51077, 56146, 51077, 59296, 51077, 50973, 51077, 50931, 51077, 51220, 51077, 50799, 54391, 51077, 55849, 51077, 59058, 51077, 50876, 51077, 50951, 51077, 51062, 61086, 54602, 51077, 57255, 51077, 54304, 51077, 55849, 51077, 50861, 51264, 50973, 51077, 50902, 51077, 50951, 51077, 50799, 55010, 51077, 54391, 51077, 56968, 74114, 51077, 50876, 51077, 50968, 51264, 50438, 57237, 51077, 54602, 51077, 57255, 51077, 50916, 51077, 79721, 50973, 51264, 50799, 56301, 50889, 54977, 50889, 55128, 51608, 50297, 70156, 59428, 54243, 56487, 50889, 55546, 50889, 54602, 76195, 62525, 57631, 53912, 66138, 51264, 54977, 52024, 57237, 51264, 51315, 51264, 50900, 52024, 50916, 51264, 61627, 54602, 51264, 54391, 51264, 56968, 51264, 50861, 51264, 50876, 51264, 50968, 51264, 61627, 57255, 51077, 56968, 51077, 55849, 51077, 50973, 51077, 50968, 51077, 50951, 51077, 50799, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 53912, 54391, 50889, 56146, 50889, 55585, 58835, 62931, 78599, 55082, 54304, 50889, 55849, 50889, 59296, 61471, 51077, 50951, 51623, 51220, 51538, 50799, 54602, 51264, 54391, 51264, 56968, 51264, 50900, 51264, 56440, 51991, 54439, 51538, 59409, 61086, 50968, 52815, 50951 ]

[ 0, 250, 19448, 8, 15352, 30054, 5175, 25771, 2214, 14, 7630, 6568, 10, 5679, 26709, 8, 8728, 5466, 6, 4246, 10, 13305, 816, 5, 483, 33301, 7513, 30, 21072, 8, 10, 31391, 1672, 9590, 6, 278, 11, 5, 762, 9, 83, 3694, 19, 10, 20889, 9, 3337, 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 ]

[ 57128, 51181, 77625, 54169, 52793, 51539, 55221, 51181, 50836, 53369, 51445, 67525, 52748, 53070, 52806, 51709, 50852, 55816, 52793, 54104, 51774, 53762, 53098, 51774, 50890, 51515, 50809, 51440, 56530, 52539, 64429, 51044, 54694, 51434, 50855, 51774, 50854, 51660, 59556, 52755, 53107, 52748, 52953, 52806, 52015, 51170, 52694, 58334, 51539, 54034, 51774, 51128, 51614, 50971, 51515, 50366, 51657, 52793, 52748, 57481, 50920, 51539, 54735, 51774, 50897, 51515, 50910, 51440, 68276, 52748, 53162, 50920, 51539, 54284, 51774, 51381, 51660, 51961, 51434, 51961, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51844, 57402, 52694, 53495, 52748, 53017, 51338, 55771, 52755, 68510, 52793, 51539, 54600, 51181, 60689, 52291, 52748, 51258, 54920, 50840, 54437, 51148, 51774, 63510, 51660, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51416, 63787, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51236, 52755, 53495, 52748, 52953, 51170, 52694, 58334, 51539, 54034, 51416, 55263, 52793, 52748, 57481, 51181, 50809, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314, 50920, 51539, 54735, 51181, 56969, 52748, 53162, 50920, 51539, 54284, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51170, 52755, 58334, 51539, 54600, 51170, 54390, 52539, 52748, 51258, 57128, 51120, 51059, 51181, 50858, 53722, 51353, 51170, 58278, 54169, 52793, 51539, 55221, 51181, 50836, 53369, 51445, 67525, 52748, 53070, 52806, 51709, 50852, 55816, 52793, 54104, 51774, 53762, 53098, 51774, 50890, 51515, 50809, 51440, 56530, 52539, 64429, 51044, 54694, 51434, 50855, 51774, 50854, 51660, 59556, 52755, 53107, 52748, 52953, 51120, 50802, 52806, 52015, 51170, 52694, 58334, 51539, 54034, 51774, 51128, 51614, 50971, 51515, 50366, 51657, 52793, 52748, 57481, 50920, 51539, 56068, 51027, 61870, 51774, 50897, 51515, 50910, 51440, 68276, 52748, 53162, 50920, 51539, 59843, 51027, 51066, 50447, 51774, 51381, 51660, 51961, 51434, 51961, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51844, 57402, 52694, 53495, 52748, 53017, 51027, 50911, 51338, 55771, 52755, 68510, 52793, 51539, 54600, 51181, 60689, 52291, 52748, 51258, 57551, 51460, 51416, 50840, 54437, 51148, 51774, 63510, 51660, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51416, 63787, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 51050, 51045, 50920, 53098, 51315, 55674, 52539, 64429, 51044, 54694, 51236, 52755, 53495, 52748, 52953, 51120, 52827, 51170, 52694, 58334, 51539, 54034, 51416, 55263, 52793, 52748, 57481, 51181, 50809, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314, 50920, 51539, 54735, 51181, 56969, 52748, 53162, 50920, 51539, 54284, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51170, 52755, 58334, 51539, 54600, 51170, 54390, 52539, 52748, 51258, 52894, 50858, 51515, 53486, 51440, 52140, 51607, 51939, 53369, 51313, 51170, 53704, 52793, 51539, 55221, 51132, 59719, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 51027, 55674, 52539, 64429, 51044, 54694, 51236, 52755, 53107, 52748, 52953, 51170, 52694, 58334, 51539, 58803, 50900, 75828, 51170, 52793, 52748, 57481, 50920, 51539, 56068, 50899, 51761, 50441, 51774, 51446, 50920, 52748, 53162, 50920, 51539, 54284, 51515, 51241, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51338, 50851, 51440, 51534, 51236, 52694, 53495, 52748, 53017, 50900, 50802, 51132, 50810, 51607, 66637, 52755, 68510, 52793, 51539, 54600, 51132, 60689, 52291, 52748, 51258, 56310, 51460, 51132, 51116, 53369, 50995, 51774, 57941, 51515, 53838, 51440, 50932, 51607, 51108, 51170, 53704, 52793, 51539, 55221, 67525, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 65152, 51086, 51653, 50426, 51137, 51116, 52769, 50995, 51614, 57941, 51434, 53838, 51808, 50932, 51669, 51108, 50913, 52539, 64429, 51044, 54694, 51236, 52755, 53495, 52748, 52953, 51026, 75624, 52694, 58334, 51539, 54034, 51170, 52793, 52748, 57481, 51027, 51551, 51181, 50840, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314, 50920, 51539, 54735, 51181, 57649, 52748, 53162, 50920, 51539, 54284, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51170, 52755, 58334, 51539, 54600, 51349, 55263, 54390, 52539, 52748, 51258, 53447, 50862, 51614, 50886, 51515, 50886, 51440, 65302, 53704, 52793, 51539, 55614, 50899, 51059, 50417, 51181, 50812, 51614, 50862, 51515, 50862, 51440, 67195, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51844, 61150, 52755, 53107, 52748, 52953, 50899, 50923, 51181, 64400, 52694, 58334, 51539, 54034, 51132, 61757, 52793, 52748, 51258, 55203, 51552, 51132, 54857, 51539, 54735, 77476, 53369, 51448, 50920, 52748, 53162, 51774, 51310, 50920, 51539, 54284, 51515, 54211, 51440, 51542, 51607, 51381, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51027, 51138, 51170, 52755, 68510, 52793, 51539, 54600, 67525, 52748, 51258, 56310, 51573, 51132, 50840, 53369, 51148, 51774, 63510, 51515, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51132, 63787, 52291, 52748, 50837, 52906, 55816, 52793, 54104, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51026, 56010, 52755, 53495, 52748, 52953, 51050, 50879, 51170, 52694, 58334, 51539, 54034, 51416, 54539, 55263, 52793, 54114, 51315, 50893, 51416, 50862, 51774, 50886, 51660, 50886, 51434, 55365, 51539, 55201, 51416, 50812, 51774, 50862, 51660, 50862, 51434, 55692, 52748, 53162, 51085, 51496, 50920, 51539, 54914, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51137, 61150, 52694, 53495, 52748, 53017, 51416, 64400, 52755, 58334, 51539, 54600, 52474, 61757, 54390, 52539, 52748, 51258, 54868, 51761, 51181, 67195, 53704, 52793, 51539, 55221, 51181, 50812, 53722, 51448, 67525, 52748, 53070, 51614, 51218, 50852, 55816, 52793, 54104, 51515, 51542, 51440, 51241, 51669, 51381, 50920, 53098, 50913, 52539, 64429, 51044, 54694, 51844, 61150, 52755, 53107, 52748, 52953, 51027, 51388, 51181, 64400, 52694, 58334, 51539, 54034, 51132, 61757, 52793, 52748, 57481, 51026, 51761, 51416, 54857, 51539, 54735, 78049, 54437, 51448, 50920, 52748, 53162, 51660, 51218, 50920, 51539, 54284, 51440, 51542, 51607, 51241, 52043, 51381, 51170, 52539, 52748, 56663, 51236, 52532, 52539, 64429, 51044, 54363, 51236, 52694, 53495, 52748, 53017, 51050, 51012, 51170, 52755, 68510, 52793, 51539, 54600, 67525, 52748, 51258, 57551, 51345, 51349, 50840, 56090, 51148, 51774, 63510, 51660, 53801, 51440, 51080, 51607, 51314, 51170, 53704, 52793, 51539, 55221, 51349, 63787, 52291, 52748, 53405, 51236, 52793, 51539, 53744, 51120, 51460, 50920, 52748, 50928, 51302, 55304, 52245, 52539, 50829, 54321, 54121, 52755, 53495, 53962, 51085, 50911, 51170, 52694, 58334, 51539, 53908, 51349, 59719, 54212, 52079, 54114, 51120, 51685, 51181, 50809, 53722, 51148, 52806, 63510, 51614, 53801, 51515, 51080, 51440, 51314 ]

[ 0, 713, 5175, 2214, 16, 10, 15352, 30054, 8, 2635, 12, 20764, 3251, 149, 2933, 8, 980, 219, 2369, 3866, 22179, 4, 16241, 212, 9590, 8, 483, 6, 2382, 3459, 8669, 6, 13602, 6757, 6, 8, 21072, 283, 561, 7, 1045, 41, 20425, 5466, 4, 8504, 11, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 20902, 12701, 4450, 20889, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 3676, 406, 428, 245, 73, 495, 6, 274, 406, 6, 8, 3676, 1176, 406, 16, 5705, 25614, 4560, 6, 2754, 25, 10, 542, 4945, 15019, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 50796, 52591, 53378, 57826, 50426, 52408, 54691, 50435, 53378, 63070, 50444, 53378, 53306, 50450, 52408, 54386, 50459, 53378, 64399, 52591, 53378, 53313, 50426, 52408, 53313, 50435, 53378, 58090, 50444, 53378, 51737, 50450, 52408, 51737, 50459, 53378, 54521, 52591, 53378, 61390, 52408, 51387, 50435, 53378, 53096, 50444, 53378, 59914, 52408, 51166, 50459, 53378, 52034, 52591, 53378, 58069, 52408, 69783, 53378, 51645, 50444, 53378, 52985, 52408, 56517, 53378, 51534, 51755, 52244, 53378, 50905, 54110, 51973, 52408, 60745, 52674, 53378, 51363, 51658, 52284, 53378, 50845, 54110, 52116, 52408, 55944, 52937, 53378, 51255, 51755, 52244, 53378, 50901, 54110, 51973, 52408, 55937, 52674, 53378, 51124, 51658, 52284, 53378, 50849, 54110, 52116, 52408, 52862, 52937, 53378, 50991, 51755, 52244, 53378, 50795, 54110, 51973, 52408, 55855, 52674, 53378, 51235, 51658, 52284, 53378, 50893, 54110, 52116, 52408, 54273, 52937, 53378, 51427, 51755, 52244, 53378, 50911, 54110, 51973, 52408, 57169, 52674, 53378, 51460, 51658, 52284, 53378, 51012, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 51973, 52408, 52590, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 52116, 52408, 52590, 52937, 53378, 50993, 54110, 50803, 51755, 79597, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 54110, 50803, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 51755, 52244, 53378, 50802, 54110, 50803, 52947, 51973, 52408, 52590, 52119, 52947, 52674, 53378, 50993, 51658, 52284, 53378, 50802, 54110, 50803, 52947, 52116, 52408, 52590, 52163, 52947, 52937, 53378, 50993, 52591, 53378, 52038, 52408, 54241, 53378, 62186, 53378, 50802, 54110, 52116, 52408, 52325, 50801, 52937, 53378, 50993, 54110, 50803, 52308, 50301, 50912, 56227, 56029, 50803, 54110, 79597, 54024, 56227, 50912, 56227, 50851, 54110, 52244, 56227, 50912, 56227, 50827, 64768, 50912, 64768, 50827, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50851, 56227, 52580, 56227, 50851, 56227, 50827, 64768, 50851, 64768, 50827, 52408, 52590, 50803, 54110, 53300, 56227, 50851, 56227, 50827, 64768, 50851, 64768, 52739, 56227, 50851, 56227, 50827, 54110, 50803, 52947, 52674, 56227, 50851, 56227, 50827, 63624, 50851, 63624, 50827, 53378, 50993, 54110, 52057, 56227, 50851, 56227, 54352, 50803, 54110, 53609, 56227, 50851, 56227, 50874, 63624, 50851, 63624, 50874, 54110, 52284, 56227, 50827, 56227, 50874, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50827, 56227, 50874, 63624, 50827, 63624, 54385, 56227, 50827, 56227, 50874, 74144, 50827, 74144, 50874, 52408, 52590, 50803, 54110, 53532, 56227, 50827, 56227, 54900, 56227, 50827, 56227, 50874, 74144, 50827, 74144, 50874, 54110, 50803, 52947, 52937, 56227, 50827, 56227, 50874, 53378, 50993, 54110, 50803, 52308, 50301, 50827, 56227, 54874, 50803, 54110, 54024, 56227, 50874, 56227, 50822, 54110, 52244, 56227, 50874, 56227, 50822, 64768, 50874, 64768, 50822, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50874, 56227, 52921, 56227, 50874, 56227, 50822, 64768, 50874, 64768, 50822, 52408, 52590, 50803, 54110, 53300, 56227, 50874, 56227, 50822, 64768, 50874, 64768, 53193, 56227, 50874, 56227, 50822, 54110, 50803, 52947, 52674, 56227, 50874, 56227, 50822, 63624, 50874, 63624, 50822, 53378, 50993, 54110, 52057, 56227, 50822, 56227, 54436, 50803, 54110, 53609, 56227, 50822, 56227, 50844, 63624, 50822, 63624, 50844, 54110, 52284, 56227, 50822, 56227, 50844, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50822, 56227, 50844, 63624, 50822, 63624, 54004, 56227, 50822, 56227, 50844, 74144, 50822, 74144, 50844, 52408, 52590, 50803, 54110, 53532, 56227, 50822, 56227, 54194, 56227, 50822, 56227, 50844, 74144, 50822, 74144, 50844, 54110, 50803, 52947, 52937, 56227, 50844, 56227, 50844, 53378, 50993, 54110, 50803, 52308, 50301, 50844, 56227, 53095, 50803, 54110, 54024, 56227, 50844, 56227, 50810, 54110, 52244, 56227, 50844, 56227, 50810, 64768, 50844, 64768, 50810, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50844, 56227, 52654, 56227, 50844, 56227, 50810, 64768, 50844, 64768, 50810, 52408, 52590, 50803, 54110, 53300, 56227, 50844, 56227, 50810, 64768, 50844, 64768, 52658, 56227, 50844, 56227, 50810, 54110, 50803, 52947, 52674, 56227, 50810, 56227, 50810, 63624, 50810, 63624, 50810, 53378, 50993, 54110, 52057, 56227, 50810, 56227, 54312, 50803, 54110, 53609, 56227, 50810, 56227, 50854, 63624, 50810, 63624, 50854, 54110, 52284, 56227, 50810, 56227, 50854, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50810, 56227, 50854, 63624, 50810, 63624, 54276, 56227, 50810, 56227, 50854, 74144, 50810, 74144, 50854, 52408, 52590, 50803, 54110, 53532, 56227, 50810, 56227, 54424, 56227, 50854, 56227, 50854, 74144, 50854, 74144, 50854, 54110, 50803, 52947, 52937, 56227, 50854, 56227, 50833, 53378, 50993, 54110, 50803, 52308, 50301, 50854, 56227, 53530, 50803, 54110, 54024, 56227, 50854, 56227, 50833, 54110, 52244, 56227, 50854, 56227, 50833, 64768, 50854, 64768, 50833, 53378, 50802, 54110, 50803, 52947, 52801, 56227, 50854, 56227, 53049, 56227, 50854, 56227, 50833, 64768, 50854, 64768, 50833, 52408, 52590, 50803, 54110, 53300, 56227, 50833, 56227, 50833, 64768, 50833, 64768, 53627, 56227, 50833, 56227, 50833, 54110, 50803, 52947, 52674, 56227, 50833, 56227, 50812, 63624, 50833, 63624, 50812, 53378, 50993, 54110, 52057, 56227, 50833, 56227, 53097, 50803, 54110, 53609, 56227, 50833, 56227, 50812, 63624, 50833, 63624, 50812, 54110, 52284, 56227, 50833, 56227, 50812, 53378, 50802, 54110, 50803, 52947, 52911, 56227, 50833, 56227, 50812, 63624, 50833, 63624, 52848 ]

[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 4246, 10, 9590, 3863, 816, 10, 182, 1769, 33301, 11, 272, 3694, 6, 7630, 14805, 10, 5679, 26709, 8, 3722, 5466, 10686, 13, 822, 6, 19, 10, 33215, 16739, 9, 211, 119, 6, 272, 119, 6, 274, 6, 8, 272, 11, 41, 18186, 112, 73, 176, 86, 6543, 6, 70, 35501, 88, 10, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50646, 66265, 51411, 52915, 68542, 62303, 72652, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 55705, 54100, 56848, 53913, 60198, 51448, 53445, 54089, 50799, 54668, 51448, 50438, 60198, 51448, 50799, 50646, 66265, 51411, 52915, 68542, 62303, 72652, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 60198, 54100, 55705, 53913, 56848, 51448, 53445, 52570, 50799, 57331, 51448, 50438, 56848, 51293, 61627, 66265, 50892, 52915, 65980, 60198, 54058, 66265, 54771, 56848, 50892, 50799, 60198, 51411, 52915, 52570, 50426, 66265, 72652, 62303, 73580, 56848, 51411, 50799, 62303, 74989, 56848, 72652, 62303, 73580, 56848, 51411, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 56848, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 55705, 54100, 56848, 53913, 60198, 51448, 53445, 54089, 50799, 54668, 51448, 50438, 60198, 51448, 50799, 66265, 50892, 52915, 70599, 60198, 53770, 66265, 54100, 56848, 53913, 60198, 51411, 52915, 52570, 50450, 66265, 51411, 50799, 62303, 74989, 56848, 72652, 62303, 73580, 56848, 51411, 50799, 62303, 74989, 56848, 72652, 62303, 55200, 66265, 54058, 60198, 54771, 66265, 50892, 50799, 56848, 51411, 53445, 51469, 50426, 57331, 72652, 56848, 51448, 50799, 56848, 51411, 52915, 51469, 50426, 60198, 72652, 66265, 55200, 60198, 54058, 66265, 54771, 56848, 50892, 50799, 55705, 51411, 53453, 51469, 50426, 62303, 72652, 55705, 51448, 50799, 56848, 51448, 52915, 52570, 50438, 62303, 51391, 50456, 60198, 50892, 50799, 60198, 55041, 66265, 53770, 60198, 54100, 56848, 53913, 60198, 55200, 56848, 54058, 60198, 54771, 55705, 50892, 50799, 56848, 51448, 53445, 52570, 50438, 57331, 51448, 50799, 56848, 51293, 50799, 61743, 51411, 52915, 68542, 71963, 72652, 62670, 51677, 52915, 52570, 66243, 71963, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 71963, 50892, 50799, 61743, 55041, 71963, 53770, 61743, 54100, 57331, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 61743, 50892, 50799, 62670, 55041, 61743, 53770, 62670, 57250, 71963, 53513, 61743, 55167, 71963, 53614, 57331, 51391, 50456, 62303, 50892, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 62303, 53913, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 55705, 54100, 56848, 53913, 60198, 51448, 53445, 54089, 50799, 54668, 51448, 50438, 60198, 51448, 50799, 61743, 51411, 52915, 68542, 71963, 72652, 62670, 51677, 52915, 52570, 66243, 71963, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 71963, 50892, 50799, 61743, 55041, 71963, 53770, 61743, 54100, 57331, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 61743, 50892, 50799, 62670, 55041, 61743, 53770, 62670, 57250, 71963, 53513, 61743, 55167, 71963, 53614, 57331, 51391, 50456, 62303, 50892, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 62303, 53913, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848, 50892, 50799, 60198, 55041, 56848, 53770, 60198, 54100, 55705, 53913, 56848, 51448, 53445, 52570, 50799, 57331, 51448, 50438, 56848, 51293, 61627, 61743, 51411, 52915, 68660, 71963, 51411, 50799, 62670, 51411, 52915, 52570, 50426, 71963, 72652, 62670, 73580, 57331, 51411, 50799, 62670, 74989, 71963, 72652, 62670, 73580, 57331, 51411, 50799, 62670, 74989, 50721, 50330, 72652, 62670, 51448, 50799, 61743, 74989, 71963, 72652, 62670, 51677, 52915, 52570, 66243, 71963, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 71963, 50892, 50799, 61743, 55041, 71963, 53770, 61743, 54100, 57331, 53913, 61743, 55200, 71963, 54058, 62670, 54771, 61743, 50892, 50799, 62670, 55041, 61743, 53770, 62670, 57250, 71963, 53513, 61743, 55167, 71963, 53614, 57331, 51391, 50456, 62303, 50892, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 62303, 53913, 57331, 51411, 53445, 52570, 50450, 56848, 51411, 50799, 57331, 74989, 56848, 72652, 57331, 73580, 56848, 51411, 50799, 57331, 51448, 50438, 62303, 51411, 53453, 51469, 50450, 60198, 54771, 66265, 50892, 50799, 62303, 55041, 66265, 53770, 60198, 54100, 66265, 53913, 56848, 51411, 53445, 51469, 50450, 57331, 51411, 50799, 56848, 51448, 50438, 56848, 51411, 52915, 51469, 50450, 60198, 51411, 50799, 66265, 55041, 60198, 53770, 66265, 54100, 60198, 53913, 55705, 51411, 53453, 51469, 50450, 62303, 51411, 50799, 55705, 51448, 50438, 56848, 51448, 52915, 52570, 50799, 62303, 51391, 50432, 60198, 53913, 60198, 55200, 66265, 54058, 60198, 54771, 56848 ]

[ 0, 250, 19448, 8, 11653, 15855, 2125, 6, 4246, 41, 21979, 8669, 25, 5, 6922, 10320, 4, 20, 2214, 16, 278, 11, 274, 538, 19, 10, 155, 73, 398, 86, 6543, 6, 8, 26658, 23, 41, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 274, 8, 230, 406, 4, 590, 63, 32625, 34879, 8, 17627, 17274, 5466, 6, 42, 15229, 74, 28, 157, 12, 9228, 4560, 25, 10, 19834, 13, 10, 1144, 26016, 822, 1310, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52323, 50626, 60848, 51563, 52774, 55784, 51438, 52247, 60848, 51563, 52309, 55784, 51438, 52322, 55046, 51549, 52692, 60494, 60106, 52323, 56488, 50947, 52774, 54765, 51064, 52247, 60494, 51032, 52309, 54765, 51064, 52322, 56488, 50947, 52692, 64252, 55046, 52323, 60266, 50970, 52774, 64252, 50929, 52247, 60266, 50970, 52309, 60494, 50970, 52322, 54765, 50970, 52692, 56488, 57566, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 52012, 54107, 51504, 50921, 62867, 50430, 51136, 62887, 50970, 56360, 79097, 52323, 53271, 54107, 66530, 50970, 55224, 50960, 52322, 66530, 50929, 55451, 54765, 52323, 66530, 50947, 55419, 50960, 52247, 66530, 51064, 55224, 50960, 52322, 66530, 51076, 55451, 54765, 52323, 52012, 54107, 66530, 51032, 55224, 51136, 52322, 66530, 51067, 55451, 60494, 52323, 66530, 51032, 55419, 51136, 52247, 66530, 50947, 55224, 51136, 52322, 66530, 50970, 55451, 60494, 52323, 53271, 54107, 66530, 50970, 55224, 50960, 52322, 66530, 50929, 55451, 54765, 52323, 66530, 50947, 55419, 50960, 52247, 66530, 51064, 55224, 50960, 52322, 66530, 51076, 55451, 54765, 52323, 52012, 54107, 66530, 51032, 55224, 51136, 52322, 66530, 51067, 55451, 60494, 52323, 66530, 51032, 55419, 51136, 52247, 66530, 50947, 55224, 51136, 52322, 66530, 50970, 55451, 60494, 52323, 58999, 54107, 51846, 50806, 50970, 55224, 50960, 52322, 51846, 50806, 50929, 55451, 54765, 52323, 51846, 50806, 51169, 55419, 50960, 52247, 51846, 50806, 51064, 55224, 50960, 52322, 51846, 50806, 51032, 55451, 54765, 52323, 54432, 54107, 62979, 51067, 55224, 50970, 52322, 62979, 51549, 55451, 57566, 52323, 62979, 51067, 55419, 50970, 52247, 62979, 51076, 55224, 50970, 52322, 62979, 50929, 55451, 57566, 52323, 51725, 53765, 64252, 50929, 55224, 50998, 52322, 64252, 50947, 55451, 56406, 52323, 64252, 51064, 55419, 51136, 52247, 64252, 50947, 55224, 51136, 52322, 64252, 50929, 55451, 60494, 52323, 51131, 55419, 50970, 53765, 51725, 55224, 61446, 50970, 53585, 51444, 55451, 60266, 57566, 52323, 52562, 55419, 61446, 50970, 53765, 51444, 55224, 61446, 50970, 53585, 51725, 55451, 60266, 57566, 52323, 58999, 54107, 51846, 50806, 50970, 55224, 50960, 52322, 51846, 50806, 50929, 55451, 54765, 52323, 51846, 50806, 51169, 55419, 50960, 52247, 51846, 50806, 51064, 55224, 50960, 52322, 51846, 50806, 51032, 55451, 54765, 52323, 54432, 54107, 62979, 51067, 55224, 50970, 52322, 62979, 51549, 55451, 57566, 52323, 62979, 51067, 55419, 50970, 52247, 62979, 51076, 55224, 50970, 52322, 62979, 50929, 55451, 57566, 52323, 51725, 53765, 64252, 50929, 55224, 50998, 52322, 64252, 50947, 55451, 56406, 52323, 64252, 51064, 55419, 51136, 52247, 64252, 50947, 55224, 51136, 52322, 64252, 50929, 55451, 60494, 52323, 51131, 55419, 50970, 53765, 51725, 55224, 61446, 50970, 53585, 51444, 55451, 60266, 57566, 52323, 52562, 55419, 61446, 50970, 53765, 51444, 55224, 61446, 50970, 53585, 51725, 55451, 60266, 57566, 52323, 53271, 53765, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 51207, 55451, 56767, 52323, 51131, 55419, 51169, 53765, 51246, 55224, 51064, 53585, 51311, 55451, 60183, 52323, 52012, 53765, 51504, 50921, 62867, 50430, 51136, 62887, 51032, 56360, 50960, 55451, 62569, 52323, 50986, 55419, 51032, 53765, 51131, 55224, 50947, 53585, 51504, 55451, 57566, 52323, 53271, 53765, 51504, 50921, 62867, 50430, 50960, 62887, 50970, 56360, 51207, 55451, 56767, 52323, 51131, 55419, 51169, 53765, 51246, 55224, 51064, 53585, 51311, 55451, 60183, 52323, 52012, 53765, 51504, 50921, 62867, 50430, 51136, 62887, 51032, 56360, 50960, 55451, 62569, 52323, 50986, 55419, 51032, 53765, 51131, 55224, 50947, 53585, 51504, 55451, 57566, 52323, 58999, 53765, 51846, 50921, 51846, 50896, 50430, 50960, 62887, 50970, 56360, 51207, 55451, 56767, 52323, 51846, 55419, 51169, 53765, 51246, 55224, 51064, 53585, 50986, 55451, 60106, 52323, 54432, 53765, 51311, 50921, 65400, 50430, 50970, 62887, 51067, 56360, 51136, 55451, 51549, 50896, 52323, 50960, 55419, 51067, 53765, 51311, 55224, 51076, 53585, 51207, 55451, 55046, 52323, 51725, 53765, 51246, 50921, 63965, 50430, 50998, 62887, 50929, 56360, 50986, 55451, 57360, 52323, 50960, 55419, 51064, 53765, 50986, 55224, 50947, 53585, 51246, 55451, 56767, 52323, 51131, 55419, 50970, 53765, 51725, 55224, 61446, 50970, 53585, 51444, 55451, 61446, 59100, 52323, 52562, 55419, 61446, 50970, 53765, 51444, 55224, 61446, 50970, 53585, 51725, 55451, 60266, 57566, 52323, 51207, 56191, 51504, 53113, 51207, 52247, 51131, 52309, 51246, 52322, 50986, 52692, 54765, 52323, 51136, 52774, 50970, 52247, 50929, 52309, 74724, 51064, 52692, 55046, 52323, 50947, 52774, 50970, 52247, 50929, 52309, 51136, 52322, 50986, 52692, 60266, 52323, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 64252, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 64252, 53271, 55419, 50970, 52247, 54765, 51504, 55224, 50970, 52322, 54765, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 52012, 55419, 50970, 52247, 60494, 51504, 55224, 50970, 52322, 60494, 51504, 55451, 57566, 52323, 64252, 53271, 70599, 50970, 52247, 50960, 52309, 50970, 52322, 64252, 53271, 55451, 57566, 52323, 51846, 50806, 58999, 70599, 50970, 52247, 50960, 52309, 50970, 52322, 51846, 50806, 58999, 55451, 57566, 52323, 59077, 54432, 70599, 51064, 52247, 51136, 52309, 51064, 52322, 59077, 54432, 55451, 60848, 52323, 68433, 52028, 70599, 51292, 52247, 51064, 52309, 51292, 52322, 68433, 52028, 55451, 68909, 52323, 62867, 56479, 75914, 51438, 53765, 51549, 52309, 51067, 52322, 51032, 52692, 60848, 52323, 50947, 52774, 50929, 52247, 50970, 52309, 51136, 52322, 50960, 52692, 56488, 52323, 51246, 53765, 50970, 50921, 59100, 50430, 51067, 62887, 53019, 56360, 59100, 53019, 50896, 52323, 51131, 53765, 51078, 50921, 60511, 50430, 51032, 62887, 51788, 56360, 60511, 51788, 50896, 52323, 51207, 53765, 50929, 50921, 56767, 50430, 51067, 62887, 53019, 56360, 56767, 53019, 50896, 52323, 51504, 53765, 51169, 50921, 78991, 50430, 51067, 62887, 53019, 56360, 78991, 53019, 50896, 52323, 52562, 53765, 51563, 50921, 75914, 50430, 51549, 62887, 51563, 56360, 75914, 53019, 50896, 52323, 51067, 50921, 62867, 50418, 51169, 62991, 51067, 55889, 56767, 52866, 50896, 52323, 51207, 53765, 51549, 50921, 56767 ]

[ 0, 713, 8787, 3152, 15229, 28740, 19, 1007, 6, 3185, 30, 5, 2247, 4069, 9, 30587, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 6780, 10, 7212, 20889, 6, 24, 18, 10, 13363, 28191, 3251, 3820, 19, 9066, 34879, 8, 10, 11602, 9, 15073, 4, 20, 2125, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 381, 6, 274, 10431, 119, 406, 428, 245, 73, 717, 6, 274, 6, 83, 6, 8, 211, 406, 1271, 7, 63, 9669, 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 ]

[ 54458, 55555, 51288, 52864, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 51344, 52864, 58152, 51344, 58936, 58152, 51344, 61083, 58152, 51344, 53548, 54730, 51344, 52605, 58152, 51344, 58322, 58152, 51344, 61300, 58152, 51344, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 69329, 59793, 51507, 52862, 50805, 51769, 52864, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 51344, 52864, 58152, 51344, 58936, 58152, 51344, 61083, 58152, 51344, 53548, 54730, 51344, 52605, 58152, 51344, 58322, 58152, 51344, 61300, 58152, 51344, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 55555, 59793, 51155, 52024, 51046, 52024, 51507, 52024, 50801, 51264, 51335, 52024, 50420, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 51344, 52864, 58152, 51344, 58936, 58152, 51344, 61083, 58152, 51344, 53548, 54730, 51344, 52605, 58152, 51344, 58322, 58152, 51344, 61300, 58152, 51344, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 69329, 59793, 51507, 52862, 50805, 51769, 52864, 59337, 51288, 58936, 59337, 51288, 61083, 59337, 51288, 53548, 55555, 51288, 52605, 59337, 51288, 58322, 59337, 51288, 61300, 59337, 51288, 53813, 57768, 51849, 52815, 51548, 50840, 51849, 59137, 51548, 50840, 51849, 61190, 51548, 50840, 51849, 53688, 57768, 51849, 52961, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 61630, 51548, 50840, 51849, 50840, 50799, 54730, 59339, 51456, 52864, 58152, 51344, 50381, 53823, 58936, 58152, 51344, 50381, 53823, 61083, 58152, 51344, 50381, 53823, 53548, 54730, 59339, 51224, 52605, 58152, 51344, 74072, 58322, 58152, 51344, 74072, 61300, 58152, 51344, 74072, 53813, 57768, 51849, 59571, 52815, 51548, 50840, 51849, 75072, 59137, 51548, 50840, 51849, 75072, 61190, 51548, 50840, 51849, 75072, 53688, 57768, 51849, 52918, 56776, 50910, 55350, 56776, 57939, 51548, 50840, 51849, 59672, 51548, 50840, 51849, 54218, 56776, 50910, 50460, 51548, 50840, 51849, 50840, 50799, 55555, 51288, 51077, 51507, 52862, 55744, 69392, 55290, 50791, 62714, 59337, 51507, 58936, 59337, 51507, 53345, 55744, 50910, 50424, 59337, 51507, 53548, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 62815, 51211, 50910, 51598, 50910, 55290, 50791, 58877, 51344, 50910, 51632, 50910, 55290, 50791, 56983, 57768, 51075, 51264, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 54730, 52237, 52862, 55744, 69392, 55290, 50791, 62714, 58152, 52237, 58936, 58152, 52237, 53345, 55744, 50910, 50424, 58152, 52237, 53548, 51843, 50910, 52576, 50910, 55290, 50804, 55744, 62815, 51288, 50910, 51875, 50910, 55290, 50791, 58877, 51211, 50910, 51598, 50910, 55290, 50791, 56983, 54479, 57768, 52669, 52862, 55744, 50910, 50441, 54479, 50442, 55290, 50791, 60204, 51548, 50840, 56044, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 59339, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 57939, 56044, 50458, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 55555, 51219, 51141, 51507, 52862, 55744, 69392, 55290, 50791, 62714, 59337, 51507, 58936, 59337, 51507, 53345, 55744, 50910, 50424, 59337, 51507, 53548, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 62815, 51211, 50910, 51598, 50910, 55290, 50791, 58466, 56383, 50434, 51344, 50910, 51632, 50910, 55290, 50791, 65470, 51219, 53614, 57768, 51075, 53090, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 54730, 52237, 52862, 55744, 69392, 55290, 50791, 62714, 58152, 52237, 58936, 58152, 52237, 53345, 55744, 50910, 50424, 58152, 52237, 53548, 51843, 50910, 52576, 50910, 55290, 50804, 55744, 62815, 51288, 50910, 51875, 50910, 55290, 50791, 58877, 51211, 50910, 51598, 50910, 55290, 50791, 56983, 57768, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 55555, 51288, 51077, 51507, 52862, 55744, 69392, 55290, 50791, 62714, 59337, 51507, 58936, 59337, 51507, 53345, 55744, 50910, 50424, 59337, 51507, 53548, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 62815, 51211, 50910, 51598, 50910, 55290, 50791, 58877, 51344, 50910, 51632, 50910, 55290, 50791, 56983, 57768, 51075, 51264, 52669, 52862, 55744, 69822, 55290, 50791, 60204, 51548, 50840, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 51875, 50910, 55290, 50804, 55744, 68714, 51211, 50910, 51598, 50910, 55290, 50791, 62990, 51344, 50910, 51632, 50910, 55290, 50791, 50910, 50799, 54730, 52237, 52862, 55744, 69392, 55290, 50791, 62714, 58152, 52237, 58936, 58152, 52237, 53345, 55744, 50910, 50424, 58152, 52237, 53548, 51843, 50910, 52576, 50910, 55290, 50804, 55744, 62815, 51288, 50910, 51875, 50910, 55290, 50791, 58877, 51211, 50910, 51598, 50910, 55290, 50791, 56983, 54479, 57768, 52669, 52862, 55744, 50910, 50441, 54479, 50442, 55290, 50791, 60204, 51548, 50840, 56044, 52669, 59137, 51548, 50840, 52669, 53345, 55744, 50910, 50448, 51548, 50840, 52669, 53688, 51288, 50910, 59339, 51875, 50910, 55290, 50804, 55744 ]

[ 0, 250, 765, 37903, 9, 15855, 1855, 15010, 930, 19, 10, 25306, 619, 6, 4246, 10, 18558, 6970, 22, 46909, 113, 18046, 11, 41, 9066, 8, 19448, 4737, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 20889, 9, 5962, 163, 5683, 6, 2351, 10, 5679, 26709, 8, 15352, 30054, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52679, 51090, 52679, 51090, 50427, 54099, 50896, 54099, 50896, 50440, 55699, 51090, 55699, 51090, 50452, 54445, 51090, 54445, 51090, 52177, 54099, 51237, 54099, 51237, 50429, 52679, 51237, 52679, 51237, 50441, 52123, 50824, 52123, 57325, 52679, 51237, 52679, 51237, 52177, 54099, 50824, 54099, 65514, 52679, 51054, 52679, 60969, 52679, 53174, 52679, 53174, 50796, 50443, 52679, 50896, 52679, 50896, 50455, 54099, 51237, 54099, 51237, 53069, 55699, 51054, 55699, 59984, 54445, 51090, 54445, 63437, 54099, 51237, 54099, 68287, 52679, 50824, 52679, 50824, 52591, 52123, 50824, 52123, 53566, 52679, 51237, 52679, 74601, 54099, 51054, 54099, 51054, 50457, 52679, 51573, 52679, 51573, 60212, 52679, 52369, 52679, 52369, 56020, 52679, 51237, 52679, 51237, 50434, 52123, 51054, 52123, 51054, 50447, 52679, 51237, 52679, 51237, 50459, 54099, 51054, 54099, 51054, 60212, 52679, 51237, 52679, 51237, 50436, 54099, 51237, 54099, 51237, 50448, 55699, 51054, 55699, 51054, 50461, 54445, 51237, 54445, 51237, 55746, 55699, 50896, 55699, 50896, 50439, 55699, 51745, 55699, 51745, 50455, 57330, 52282, 57330, 52282, 50796, 50434, 57330, 51054, 57330, 51054, 50447, 55699, 51237, 55699, 51237, 50459, 54445, 51072, 54445, 51072, 56020, 54099, 50824, 54099, 60739, 52679, 51745, 52679, 51745, 50449, 52123, 50824, 52123, 50824, 50460, 52041, 50824, 52041, 50824, 55746, 52123, 51237, 52123, 51237, 50440, 52123, 51029, 52123, 51029, 50457, 52679, 52500, 52679, 52500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 8, 33558, 5175, 8, 3495, 2214, 4246, 21979, 8669, 6, 21072, 6, 2382, 3459, 8669, 6, 38668, 483, 6, 8, 3459, 9590, 4, 20, 33301, 16, 17627, 17274, 8, 11653, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 1769, 20889, 9, 8325, 13410, 228, 2289, 4, 20, 2214, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50988, 60871, 69139, 50935, 55382, 50988, 60871, 69139, 50935, 54975, 50988, 51115, 64851, 50944, 51115, 76064, 50456, 50988, 60871, 50915, 65107, 68457, 52591, 50988, 60871, 50915, 65107, 50909, 57173, 75950, 56347, 53264, 50988, 51047, 50848, 51047, 75092, 50935, 51047, 57746, 60871, 69139, 50935, 55382, 50988, 60871, 69139, 50935, 54975, 50988, 51115, 64851, 50944, 51115, 76064, 50456, 50988, 60871, 50915, 65107, 68457, 51755, 51049, 52871, 50988, 60871, 50915, 65107, 68457, 52506, 69860, 54984, 51628, 75950, 69064, 51976, 52877, 50988, 51047, 50848, 51047, 75092, 50935, 51047, 50804, 52284, 51763, 50845, 50927, 55944, 51757, 51815, 50845, 51019, 54371, 54403, 51401, 50845, 50953, 55944, 50800, 70782, 50915, 50953, 50915, 60211, 52054, 64540, 52921, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 57452, 70782, 50845, 73703, 64112, 51763, 50845, 71653, 56889, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 52636, 51724, 51401, 50845, 73703, 59159, 51763, 50845, 71653, 52506, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 57452, 70782, 50915, 50953, 50915, 55032, 50417, 50852, 50822, 68072, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 53273, 54846, 50852, 50822, 70782, 50845, 73703, 70513, 52542, 51835, 51763, 50845, 71653, 69671, 53869, 52654, 75950, 69064, 51815, 50845, 51019, 54371, 56055, 57162, 51475, 52699, 51628, 51401, 50845, 73703, 61237, 54592, 50572, 50822, 54659, 53611, 52729, 51401, 50845, 50953, 55944, 51907, 67614, 68648, 52542, 51820, 51763, 50845, 71653, 57713, 56055, 50812, 54659, 53869, 52843, 75950, 69064, 51815, 50845, 51019, 54371, 66992, 60710, 52699, 51754, 51401, 50845, 50953, 55944, 53887, 56327, 50882, 54659, 53611, 50810, 70782, 50915, 50953, 50915, 60211, 52054, 64540, 52921, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 53354, 50914, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51815, 50845, 51019, 50845, 57452, 50799, 53929, 50914, 55452, 50915, 52047, 50915, 50964, 50915, 55032, 68072, 55668, 50849, 58233, 51305, 50292, 64694, 61364, 56566, 55077, 56990, 50845, 52047, 50845, 50964, 50845, 70064, 55668, 50849, 58233, 50845, 52047, 50845, 50964, 50845, 52636, 51724, 55668, 50914, 55462, 50915, 51401, 50845, 73703, 59159, 51763, 50845, 71653, 52506, 53140, 55668, 50845, 55668, 51424, 50292, 64694, 61364, 56566, 55077, 56990, 50845, 51815, 50845, 51019, 50845, 63904, 53929, 51124, 55462, 50915, 51763, 50845, 71653, 57452, 70782, 50915, 50953, 50915, 64112, 58233, 51714, 53354, 51307, 56889, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 57452, 70782, 50845, 73703, 70513, 52542, 51835, 51763, 50845, 71653, 69671, 53869, 52654, 75950, 69064, 51815, 50845, 51019, 54371, 56055, 57162, 51475, 52699, 51628, 51401, 50845, 73703, 61237, 54592, 50572, 50822, 54659, 53611, 52729, 51401, 50845, 50953, 55944, 51907, 67614, 68648, 52542, 51820, 51763, 50845, 71653, 57713, 56055, 50812, 54659, 53869, 52843, 75950, 69064, 51815, 50845, 51019, 54371, 66992, 60710, 52699, 51754, 51401, 50845, 50953, 55944, 53887, 56327, 50882, 54659, 53611, 50810, 70782, 50915, 50953, 50915, 60211, 52054, 64540, 52921, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 53354, 50914, 51401, 50915, 50953, 50915, 55159, 51180, 53140, 53354, 50914, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51815, 50845, 51019, 50845, 57452, 50799, 53929, 51189, 57210, 51115, 52047, 50915, 50964, 50915, 55032, 68072, 51332, 64694, 61364, 56566, 55077, 56990, 50845, 52047, 50845, 50964, 50845, 70064, 55668, 50849, 58233, 50845, 52047, 50845, 50964, 50845, 52636, 51724, 55668, 50914, 55462, 50915, 51401, 50845, 73703, 59159, 51763, 50845, 71653, 52506, 53140, 55668, 50845, 55668, 51424, 50292, 64694, 61364, 56566, 55077, 56990, 50845, 51815, 50845, 51019, 50845, 63904, 53929, 50914, 55462, 50915, 51763, 50845, 71653, 66871, 50810, 70782, 50915, 50953, 50915, 55032, 51402, 53728, 58233, 51714, 53354, 51307, 56889, 75950, 69064, 51815, 50845, 51019, 50845, 70064, 51401, 50845, 73703, 66921, 51401, 50915, 50953, 50915, 59159, 50852, 53140, 75950, 69064, 51815, 50845, 51019, 50845, 63904, 51401, 50845, 73703, 53273, 54846, 50852, 50822, 70782, 50845, 50953, 54371, 50882, 54519, 52871, 51763, 50845, 50927, 54371, 51022, 53327, 54504, 75950, 69064, 51815, 50845, 51019, 54371, 51022, 54321, 54661, 51401, 50845, 50953, 54371, 50882, 52594, 52841, 51401, 50845, 50953, 54371, 51022, 53012, 54478, 55668, 50849, 51763, 50845, 50927, 54371, 52513, 50804, 52848, 55668, 65376, 55257, 54667, 69064, 51815, 50845, 51019, 54371, 79233, 54403, 55668, 50849, 51401, 50845, 50953, 55944, 50800, 50799, 57210, 50914, 51688, 50915, 52124, 50915, 51069, 50845, 60211, 52054, 52871, 51069, 50845, 56889, 58233, 60884, 50915, 52124, 50845, 51069, 50845, 70064, 55462, 51191, 52124, 50845, 51069, 50845, 66921, 51332, 50915, 52047, 50915, 50964, 50845, 59159, 50964, 52839, 53153, 55462, 74329, 50810, 51763, 58791, 53119, 51049, 52809, 51217, 50810, 51815, 50810, 51019, 52863, 55668, 65376, 50845, 51401, 50845, 73703, 57452, 50799, 55462, 51424, 50289, 50915, 52124, 50915, 51069, 50845, 64112, 55462, 50914, 51069, 50845, 56889, 67034, 52124, 50845, 51069, 50845, 70064, 55462, 51413, 52124, 50845, 51069, 50845, 52636, 51724, 51332, 50915, 52047, 50915, 50964, 50845, 59159, 50964, 50845, 52506, 53153, 51171, 50810, 51763, 58791, 53119, 51049, 52809, 51217, 50810, 51815, 50810, 51019, 52863, 55462, 65376, 50845, 51401, 50845, 73703, 57452, 50799, 57210, 50914, 51688, 50915, 52124, 50915, 51069, 50845, 52506, 55446, 51069, 50845, 56889, 58233, 60884, 50915, 52124, 50845, 51069, 50845, 70064, 58233, 50849, 52124, 50845, 51069, 50845, 66921, 55462, 50914, 51332, 50915, 52047, 50915, 50964, 50845, 51976, 51820, 50964, 52839, 53153, 55462, 74329, 50810, 51763, 58791, 53119, 51049, 52809, 51217, 50810, 51815, 50810, 51019, 52863, 55668, 65376, 50845, 51401, 50845, 73703, 57452, 50799, 55462, 50914, 51688, 50915, 52124, 50915, 51069, 54371, 51835, 51069, 55944, 51620, 55668, 60884, 50915, 52124, 50845, 51069, 50845, 51553, 52749, 55462, 51191, 52124, 50845, 51069, 54371, 55381, 51332, 50915, 52047, 50915, 50964, 78220, 51820, 50964, 52839, 66991, 51757, 51171, 50810, 51763, 58791, 53119, 59574, 51217, 50810, 51815, 50810, 51019, 52863, 50988, 50845, 51401, 50845, 50953, 54371, 50800, 50799, 57210, 51424, 50289, 50915, 52124, 50915, 51069, 50845, 60211, 52054, 52871, 57210, 50849, 51069, 50845, 56889, 58233, 60884, 50915, 52124, 50845, 51069, 50845, 70064, 58233, 50849, 52124, 50845, 51069, 50845, 66921, 55462, 51424, 50292, 50915, 52047, 50915, 50964 ]

[ 0, 713, 765, 3495, 2214, 6, 30291, 19, 5175, 4785, 6, 1931, 21683, 10, 2365, 8, 15352, 30054, 16464, 4, 20, 20535, 2810, 1239, 5, 483, 6, 2800, 30, 5, 228, 438, 4781, 2088, 6757, 6, 21072, 6, 8, 17605, 9590, 4, 590, 10, 20889, 9, 16662, 163, 5683, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 20902, 2877, 1328, 4, 20, 2125, 16, 278, 11, 5, 762, 9, 211, 538, 8, 1575, 10, 33215, 16739, 9, 3676, 6, 2060, 73, 347, 6, 230, 10431, 12361, 6, 211, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50417, 53633, 52115, 54931, 52329, 54931, 50897, 50428, 54664, 50942, 50431, 54289, 53614, 54664, 50795, 60915, 53658, 59254, 50917, 57971, 57431, 54931, 50830, 69577, 50897, 52478, 54931, 52628, 55160, 50806, 50430, 54931, 52359, 53508, 54789, 54931, 54465, 55356, 51192, 50454, 54931, 52485, 54289, 50809, 50799, 53633, 51428, 54328, 69551, 54931, 52329, 54931, 63342, 50858, 50428, 54664, 50942, 50431, 54289, 50844, 51974, 55734, 54664, 50795, 60915, 52732, 53235, 61443, 59254, 50917, 57971, 55758, 50843, 54663, 54931, 50830, 69577, 50897, 52615, 51104, 50892, 55986, 61958, 59889, 54931, 52628, 55160, 54919, 50843, 68207, 54931, 53695, 53508, 51428, 54362, 50843, 53235, 52865, 50836, 53012, 58344, 54931, 52510, 55356, 50795, 52612, 53886, 50843, 54078, 68750, 54931, 52485, 54289, 53351, 56189, 56751, 62223, 52060, 56054, 51553, 61982, 51456, 50955, 50799, 53633, 51428, 54328, 55446, 54931, 52847, 65054, 52002, 50800, 51913, 54567, 50987, 50424, 52489, 50892, 52747, 53049, 51913, 50907, 54931, 63342, 54581, 50991, 51068, 78554, 56919, 52002, 50925, 50428, 54664, 66121, 51683, 50812, 52306, 69812, 54289, 53513, 51648, 50810, 52991, 52227, 50892, 52055, 51024, 78885, 51683, 50812, 52306, 52877, 51776, 50810, 56582, 50950, 54664, 50795, 60915, 52732, 53235, 66066, 52578, 51238, 60440, 51238, 50856, 70222, 50378, 52073, 53800, 56325, 59254, 50917, 57971, 50917, 51382, 51048, 51068, 55992, 54353, 51648, 51573, 52991, 50824, 54931, 50830, 69577, 61965, 56362, 50892, 52243, 62045, 50873, 55986, 53235, 50894, 50418, 52364, 50809, 54931, 52628, 55160, 56021, 50849, 52060, 61682, 54796, 65054, 53408, 50818, 52901, 50836, 54775, 55155, 52060, 58830, 53408, 50849, 54775, 50901, 52901, 64570, 52060, 54345, 63600, 78554, 54796, 50893, 50430, 52364, 50836, 54931, 58607, 52060, 59190, 54100, 54775, 50828, 53408, 50809, 52901, 50862, 53508, 51428, 58558, 60234, 52901, 51110, 50436, 53408, 51060, 54775, 51100, 50437, 56462, 64235, 51553, 52411, 62864, 61618, 54931, 63954, 52364, 54465, 55356, 51192, 51553, 59260, 63249, 64653, 55309, 71643, 53408, 50809, 52901, 50836, 54775, 56112, 54775, 51194, 50448, 53408, 50967, 52901, 51124, 62178, 66739, 53474, 51112, 51456, 61348, 54931, 59310, 53676, 50839, 52789, 53875, 54289, 54320, 50987, 52055, 53823, 50379, 52073, 55603, 68571, 52350, 50828, 53853, 57461, 52364, 50828, 52673, 50828, 52842, 50818, 52277, 53902, 53165, 54438, 50962, 50460, 55348, 59496, 54652, 50818, 53822, 50828, 50799, 56110, 50828, 55907, 50836, 53633, 52732, 53235, 74652, 56434, 65334, 60151, 50982, 58425, 58100, 52306, 54567, 55041, 51683, 50880, 54931, 56420, 55250, 65418, 51683, 50921, 52306, 52422, 54931, 55588, 51159, 51068, 78554, 52154, 50893, 50428, 54664, 66121, 51648, 50844, 52991, 58812, 52310, 50833, 53170, 50925, 54289, 56241, 50987, 51974, 55121, 60234, 51913, 50925, 52002, 51724, 54664, 50795, 60915, 52732, 53235, 51014, 50441, 51888, 50894, 73026, 51648, 53277, 50586, 55322, 50856, 70222, 64653, 54796, 56325, 51683, 51090, 51648, 51090, 52578, 51541, 59254, 50917, 57971, 50917, 51769, 50873, 51382, 50914, 51068, 55992, 70329, 54931, 50830, 69577, 61965, 54771, 52615, 52073, 52227, 50892, 51528, 57228, 50882, 50418, 54931, 59182, 50856, 55041, 52364, 50818, 52350, 50839, 54383, 50836, 52901, 50862, 55160, 50865, 52060, 50379, 52073, 55250, 54149, 54383, 50942, 52901, 50897, 52364, 62739, 50865, 52060, 58029, 50917, 51587, 51907, 54982, 50893, 50430, 54931, 53695, 56434, 50825, 53165, 50839, 53508, 53592, 50892, 67121, 60234, 52364, 50917, 54383, 50977, 52350, 50977, 52901, 50865, 51553, 50833, 51450, 54972, 61618, 53165, 68954, 64781, 56434, 50863, 54931, 52510, 52364, 50862, 52277, 50836, 52868, 50862, 55356, 58717, 50378, 52073, 52154, 55328, 60785, 56434, 50839, 53165, 60954, 51553, 54185, 52364, 50854, 53408, 50854, 52350, 54806, 63600, 52732, 53745, 50578, 59012, 53165, 61171, 56434, 50834, 54931, 52485, 52364, 50836, 52277, 50809, 52868, 50836, 54289, 56503, 50892, 52615, 51861, 52716, 50892, 51456, 56249, 56434, 50818, 53165, 50828, 50799, 51683, 50809, 52306, 50880, 53633, 51428, 52001, 50882, 50416, 51648, 59636, 52991, 72141, 52002, 55595, 51212, 50420, 51913, 50833, 54931, 55250, 61320, 57466, 51683, 50844, 52306, 61823, 51963, 50833, 51776, 52422, 54931, 54806, 63600, 50795, 51587, 52847, 50893, 50427, 51913, 63601, 52002, 50800, 54664, 68313, 52103, 50897, 51713, 50859, 54289, 53911, 50856, 50892, 65010, 71648, 51776, 50836, 51963, 67066, 51648, 50952, 50437, 52719, 59646, 54664, 50849, 60915, 50849, 64214, 50882, 50440, 52103, 50878, 51713, 50952, 50443, 51963, 51033, 51776, 55920, 50856, 70222, 64653, 54796, 56325, 51776, 50808, 52306, 50854, 52425, 50894, 59254, 50917, 57971, 50917, 51769, 53639, 51068, 52732, 53474, 58031, 51683, 50923, 52578, 50993, 53170, 50993, 51769, 68429, 69577, 50830, 54931, 55941, 50901, 52055, 51104, 78009, 50836, 50799, 53408, 50897, 54775, 50917, 52901, 59312, 53235, 51014, 50419, 54931, 52628, 53408, 54493, 59689, 53745, 50581, 50938, 51587, 64355, 55160, 61456, 52842, 51060, 52868, 51110, 53676, 50991, 50424, 52060, 58382, 51068, 50849, 51587, 54472, 54982, 50893, 50430, 54931, 52359, 52842, 50834, 53508, 50865, 51553, 54726, 50892, 51553, 53584, 54788, 56966, 51553, 53891, 52673, 50977, 53853, 50917, 56462, 59312, 53235, 51014, 50442, 54931, 52510, 52673, 50825, 55356, 56021, 70222, 64653, 54796, 53745, 50578, 79349, 54926, 51456, 63956, 52364, 50834, 53165, 51124, 52868, 51255, 52789, 50991, 53408, 51112, 51382, 51191, 51068, 52732, 66354, 54931, 62267, 51224, 56974, 54289, 51740, 50892, 52243, 52073, 52227, 60977, 51224, 50955, 50799, 51913, 50821, 52002, 50809, 53633, 52732, 53235, 61410, 51713, 50800, 52103, 72141, 50856, 55041, 53152, 50830, 52578, 50822, 54931, 56420, 52141, 66553, 51913, 50833, 52002, 66031, 52306, 51014, 51683, 52422, 54931, 53661, 63600, 50849, 51587, 55250, 50893, 50428, 52489, 51051, 50429, 52747, 50833, 54664, 68313, 51913, 58191, 52002, 50800, 54289, 59260, 50987, 52055, 51104, 71648, 51683, 54665, 52306, 52444, 54409, 51014, 52578, 50894, 52306, 50894, 60915, 50849, 54664, 52732, 53235, 73310, 54348, 50833, 51713, 50821, 53170, 70035, 52991, 51820, 51888, 50821, 52366, 54567, 70222, 64653, 54796, 56325, 52306, 51454, 51888, 51454, 52578, 51454, 59254, 50917, 57971, 50865, 51335, 50943, 51382, 50914, 51068, 52732, 54353, 54931, 50830, 69577, 61965, 50987, 51587, 52259, 56189, 50892, 50799, 52277, 56613, 53235, 51014, 50415, 54383, 50812, 50416, 52350, 79604, 52901, 50844, 54931, 72294, 50856, 55041, 52277, 50857, 54383, 50812, 55160, 50865, 51587, 54119, 53745, 50581, 65944, 52350, 55266, 51553, 64999, 52901, 53450, 52277, 50844, 54383, 53497, 51191, 51068, 50795, 51587, 52942, 50893, 51456, 56739, 52350, 60155, 52901, 50844, 54931, 64123, 50856, 54100, 52277, 50857, 54383, 50836, 53508, 51428, 58558, 50892, 51456, 60085, 52350, 63120, 52901, 53614, 52277, 50857, 54383, 67221, 56129, 53235, 51021, 50440, 52350, 58545, 52901, 50844, 54931, 67221, 54305, 52277, 50857, 54383, 50812, 55356, 78478, 50987, 51068, 64653, 55250, 63774, 52350, 56518, 52901, 54023, 50576, 54208, 52277, 50844, 54383, 57446, 53888, 72968, 54845, 50858, 50452, 52350 ]

[ 0, 250, 765, 6, 20425, 3152, 8, 5175, 24904, 2125, 11, 274, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 32909, 8, 2724, 368, 31365, 25999, 6, 2800, 30, 3459, 9590, 8, 21072, 6, 20307, 149, 10, 163, 428, 6, 12608, 119, 1176, 406, 6, 2060, 6, 163, 428, 6, 272, 406, 33215, 13931, 23, 10, 20902, 12701, 4450, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50945, 51029, 52060, 54024, 51456, 52244, 53808, 61479, 52801, 51326, 51973, 52334, 51599, 53300, 50804, 52119, 52211, 65285, 52590, 52674, 51456, 52057, 51641, 50802, 64320, 52060, 53609, 51456, 52284, 51485, 67229, 52911, 51224, 52116, 52061, 69583, 53694, 53532, 51485, 52409, 52163, 52061, 52590, 52937, 51289, 50803, 63355, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 50799, 53979, 50803, 51228, 51029, 52060, 54024, 52656, 61411, 52244, 55763, 50802, 52436, 58731, 52801, 52380, 62310, 51973, 52334, 50802, 53979, 55311, 53300, 50804, 52119, 52211, 76867, 52590, 52674, 53493, 50993, 51456, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 50802, 52436, 59714, 52911, 52656, 58731, 52116, 51431, 50802, 51979, 71966, 53694, 53532, 53319, 52409, 52163, 52211, 50803, 53319, 52651, 52937, 52039, 50803, 53319, 56327, 50803, 50799, 52334, 51184, 52380, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 55708, 51029, 52060, 54024, 51456, 52244, 54595, 61479, 52801, 51326, 51973, 55763, 51520, 53300, 55763, 51779, 52119, 52211, 50803, 51228, 52590, 52674, 52334, 61411, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 67229, 52911, 51224, 52116, 52298, 50802, 51105, 53694, 53532, 50816, 52163, 51723, 52651, 52937, 52211, 56327, 50803, 69494, 51184, 53493, 50803, 51096, 51029, 52060, 54024, 53625, 61411, 52244, 51224, 52801, 53979, 62310, 51973, 52436, 51520, 53300, 52436, 51779, 52119, 60557, 51236, 52674, 51978, 57052, 52057, 76091, 52060, 53609, 52656, 61411, 52284, 52436, 59714, 52911, 51224, 52116, 51978, 65285, 53694, 53532, 50816, 52163, 52891, 50802, 53867, 52937, 65991, 50803, 69494, 50803, 51979, 51184, 51105, 51029, 52060, 54024, 52298, 61411, 52244, 51431, 58731, 52801, 51641, 62310, 51973, 51509, 51599, 53300, 50804, 52119, 51641, 50802, 51105, 52590, 52674, 51456, 52057, 51579, 50802, 71885, 52060, 53609, 51456, 52284, 52264, 67229, 52911, 51224, 52116, 80080, 50953, 53694, 53532, 51509, 52409, 52163, 51641, 52590, 52937, 51289, 50803, 63355, 51184, 52656, 50802, 51325, 51029, 52060, 54024, 51456, 52244, 53493, 58731, 52801, 53786, 61492, 51973, 50798, 53300, 52380, 51812, 52119, 51325, 69987, 52674, 57806, 57052, 52057, 53610, 50993, 51325, 50824, 52060, 53609, 51456, 52284, 51553, 52911, 53786, 58731, 52116, 52833, 69583, 53694, 53532, 53979, 52409, 52163, 52380, 50881, 50598, 52937, 52656, 50881, 50602, 50803, 50799, 53979, 51184, 51228, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 52211, 51520, 53300, 52211, 51779, 52119, 51723, 50803, 51228, 52590, 52674, 52211, 61411, 52057, 51431, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 67229, 52911, 51224, 52116, 52061, 50803, 51325, 53694, 53532, 51431, 52409, 52163, 51723, 52651, 52937, 52211, 56327, 50803, 69494, 51184, 53610, 50824, 51105, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 53493, 51599, 53300, 50804, 52119, 53625, 50802, 60921, 51236, 52674, 51240, 52057, 53786, 50993, 71885, 52060, 53609, 51456, 52284, 51553, 52911, 53786, 58731, 52116, 52436, 50803, 50953, 53694, 53532, 53319, 52409, 52163, 52380, 50881, 50598, 52937, 53979, 50881, 50602, 50803, 50799, 53625, 51795, 50964, 51029, 52060, 54024, 51456, 52244, 51723, 61479, 52801, 51326, 51973, 52061, 52299, 53300, 50804, 52119, 50964, 52590, 52674, 51456, 52057, 51431, 50802, 70259, 52060, 53609, 51456, 52284, 51723, 67229, 52911, 51224, 52116, 52039, 62397, 53694, 53532, 50816, 52163, 52211, 50802, 52833, 52590, 52937, 51289, 50803, 50799, 51898, 50802, 52380, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 52334, 61479, 52801, 51326, 51973, 54595, 51599, 53300, 50798, 52119, 51898, 51407, 51133, 52677, 50803, 52594, 52057, 50945, 75038, 52313, 50816, 52175, 50798, 50824, 52354, 51029, 52060, 54024, 51456, 52244, 53808, 61479, 52801, 51326, 51973, 52334, 51599, 53300, 50804, 52119, 52211, 65285, 52590, 52674, 51456, 52057, 51641, 50802, 64320, 52060, 53609, 51456, 52284, 51485, 67229, 52911, 51224, 52116, 52061, 69583, 53694, 53532, 51485, 52409, 52163, 52061, 52590, 52937, 51289, 50803, 63355, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 50799, 53979, 50803, 51228, 51029, 52060, 54024, 52656, 61411, 52244, 55763, 50802, 52436, 58731, 52801, 52380, 62310, 51973, 52334, 50802, 53979, 55311, 53300, 50804, 52119, 52211, 76867, 52590, 52674, 53493, 50993, 51456, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 50802, 52436, 59714, 52911, 52656, 58731, 52116, 51431, 50802, 51979, 71966, 53694, 53532, 53319, 52409, 52163, 52211, 50803, 53319, 52651, 52937, 52039, 50803, 53319, 56327, 50803, 50799, 52334, 51184, 52380, 51184, 50945, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 50798, 53300, 50804, 52119, 57909, 51236, 52674, 51240, 52057, 64320, 52060, 53609, 51456, 52284, 51553, 52911, 51224, 52116, 51105, 53694, 53532, 50816, 52163, 53867, 52937, 65991, 50803, 55708, 51029, 52060, 54024, 51456, 52244, 54595, 61479, 52801, 51326, 51973, 55763, 51520, 53300, 55763, 51779, 52119, 52211, 50803, 51228, 52590, 52674, 52334, 61411, 52057, 51723, 76867, 50824, 52060, 53609, 51456, 52284, 52211, 67229, 52911, 51224, 52116, 52298, 50802, 51105, 53694, 53532, 50816, 52163, 51723, 52651, 52937, 52211, 56327, 50803, 69494, 51184, 53493, 50803, 51096, 51029, 52060, 54024, 53625, 61411, 52244, 51224, 52801, 53979, 62310, 51973, 52436, 51520, 53300, 52436, 51779, 52119, 60557, 51236, 52674, 51978, 57052, 52057, 76091, 52060, 53609, 52656, 61411, 52284, 52436, 59714, 52911, 51224, 52116, 51978, 65285, 53694, 53532, 50816, 52163, 52891, 50802, 53867, 52937, 65991, 50803, 69494, 50803, 51979, 51184, 51105, 51029, 52060, 54024, 52298, 61411, 52244, 51431, 58731, 52801, 51641, 62310, 51973, 51509, 51599, 53300, 50804, 52119, 51641, 50802, 51105, 52590, 52674, 51456, 52057, 51579, 50802, 71885, 52060, 53609, 51456, 52284, 52264, 67229, 52911, 51224, 52116, 80080, 50953, 53694, 53532, 51509, 52409, 52163, 51641, 52590, 52937, 51289, 50803, 63355, 51184, 52656, 50802, 51325, 51029, 52060, 54024, 51456, 52244, 53493, 58731, 52801, 53786, 61492, 51973, 50798, 53300, 52380, 51812, 52119, 51325, 69987, 52674, 57806, 57052, 52057, 53610, 50993, 51325, 50824, 52060, 53609, 51456, 52284, 51553, 52911, 53786, 58731, 52116, 52833, 69583, 53694, 53532, 53979, 52409, 52163, 52380, 50881, 50598, 52937, 52656, 50881, 50602, 50803, 50799, 53979, 51184, 51228, 51029, 52060, 54024, 51456, 52244, 51224, 52801, 51326, 51973, 52211, 51520, 53300, 52211, 51779, 52119, 51723, 50803, 51228, 52590, 52674, 52211, 61411 ]

[ 0, 250, 251, 5175, 8, 25771, 2125, 14, 7630, 6568, 10, 1472, 9, 20183, 8, 980, 4, 20, 20535, 2810, 8, 38668, 483, 310, 5, 1049, 12049, 150, 5, 3459, 13305, 6, 2236, 1021, 2678, 29, 6, 8, 38668, 3038, 694, 5, 3618, 32343, 4, 85, 16, 278, 11, 230, 538, 8, 34, 10, 7212, 20889, 9, 5962, 741, 1685, 4, 20, 1049, 33215, 16739, 16, 272, 6, 274, 6, 3676, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50752, 50297, 51469, 50752, 50301, 51469, 50752, 50304, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50799, 50752, 50313, 51469, 50799, 50752, 50311, 51469, 50799, 50752, 50309, 51469, 50799, 50752, 50308, 51469, 50799, 53362, 51066, 53359, 51066, 52114, 51066, 50748, 50297, 51469, 50748, 50301, 51469, 50748, 50304, 51469, 50426, 52114, 56158, 52114, 50980, 64499, 51293, 50450, 52114, 50980, 50799, 52114, 56003, 52114, 56158, 52114, 50980, 67623, 51293, 50450, 52114, 50980, 50799, 52114, 51167, 50752, 50316, 51469, 50422, 52114, 51167, 50430, 52114, 68765, 52114, 51167, 50737, 50313, 51293, 50446, 52114, 51167, 50454, 52114, 51167, 50799, 52114, 56003, 52114, 56158, 52114, 50980, 50737, 50309, 53082, 50450, 52114, 50980, 50799, 53362, 51469, 53359, 51469, 52114, 51469, 50799, 50752, 50313, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 50752, 50311, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 50752, 50309, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 50752, 50308, 51469, 71909, 51469, 66392, 51469, 57017, 51469, 50799, 53359, 50921, 51816, 50921, 71909, 51469, 66392, 51469, 57017, 51469, 50418, 53168, 50921, 51771, 62991, 53362, 50921, 51890, 55889, 53359, 51285, 52003, 68660, 53897, 50806, 52114, 52931, 55333, 50806, 52003, 50806, 50799, 53362, 50821, 53359, 50821, 71909, 51469, 66392, 51469, 57017, 51469, 50748, 50304, 50980, 50417, 56805, 50821, 52951, 52422, 53795, 51585, 53362, 51585, 50748, 50301, 56158, 50748, 50297, 56812, 50748, 50292, 53898, 50748, 50297, 53898, 50796, 50799, 78534, 51469, 60607, 51469, 54963, 51469, 50799, 78534, 51469, 60607, 51469, 54963, 51469, 50799, 78534, 51469, 60607, 51469, 54963, 51469, 50799, 53795, 50806, 53362, 50806, 55865, 51469, 55912, 51469, 52664, 69097, 53795, 50806, 53362, 50806, 50799, 53795, 50806, 53362, 50806, 57017, 51469, 55865, 51469, 55912, 51469, 52664, 69097, 53795, 50806, 53362, 50806, 50799, 53795, 50806, 53362, 50806, 57017, 51469, 55865, 51469, 55912, 51469, 52664, 69097, 53795, 50806, 53362, 50806, 50799, 53795, 50806, 53362, 50806, 57017, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 52103, 69097, 53795, 50806, 53362, 50806, 50799, 61643, 52570, 50426, 60607, 52570, 50799, 50748, 50304, 51469, 50799, 50748, 50313, 51469, 50799, 50748, 50314, 51469, 50799, 50748, 50313, 51469, 56477, 51469, 50799, 53362, 50980, 50752, 50313, 51469, 50748, 50309, 52570, 65725, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50311, 51469, 56477, 51469, 54744, 52570, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50309, 51469, 55831, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50306, 51469, 65725, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 50752, 50309, 51469, 60607, 51469, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 53362, 50980, 55865, 52570, 55912, 52570, 50426, 53362, 56158, 53362, 56812, 53362, 50980, 50799, 50752, 50311, 51469, 50737, 50309, 50892, 50748, 50304, 51469, 56477, 51469, 53169, 52570, 50420, 50737, 50308, 53770, 73539, 72652, 70614, 73580, 50737, 50304, 51677, 50799, 50752, 50313, 51469, 50748, 50313, 51469, 60607, 51469, 50438, 50737, 50301, 58709, 50737, 50302, 54004, 50737, 50297, 54771, 50737, 50299, 50892, 50799, 50752, 50311, 51469, 50737, 50301, 51448, 50748, 50314, 51469, 65853, 51469, 50438, 50737, 50302, 51448, 50799, 50752, 50309, 51469, 50737, 50309, 51293, 50748, 50313, 51469, 60607, 51469, 50799, 51890, 50980, 78534, 50980, 61643, 52570, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 56003, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 56003, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 56003, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 53169, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 55161, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 54744, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 51890, 50980, 78534, 50980, 61643, 51469, 50426, 51890, 56158, 51890, 56812, 51890, 50980, 50799, 64499, 51293, 53169, 51469, 50799, 67623, 51293, 55161, 51469, 50799, 50737, 50313, 51293, 54744, 51469, 50799, 50737, 50309, 51293, 61643, 51469, 50799, 52114, 50980, 50752, 50304, 51469, 64499, 51293, 53169, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50302, 51469, 67623, 51293, 55161, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50301, 51469, 50737, 50313, 51293, 54744, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50297, 51469, 50737, 50309, 51293, 61643, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 53169, 50980, 50425, 52114, 51160, 55161, 51160, 50434, 52114, 51160, 54744, 51160, 50443, 52114, 51160, 61643, 51160, 50452, 52114, 50980, 62546, 50980, 50799, 52114, 50980, 51959, 51469, 53091, 51469, 74009, 50980, 50425, 52114, 51160, 61643, 51160, 50434, 52114, 51160, 56195, 51160, 50443, 52114, 51160, 55161, 51160, 50452, 52114, 50980, 52517, 50980, 50799, 52114, 50980, 52158, 51469, 54142, 51469, 53169, 50980, 50425, 52114, 51160, 55161, 51160, 50434, 52114, 51160, 54744, 51160, 50443, 52114, 51160, 61643, 51160, 50452, 52114, 50980, 62546, 50980, 50799, 52114, 50980, 51816, 51469, 53956, 51469, 74009, 50980, 50425, 52114, 51160, 61643, 51160, 50434, 52114, 51160, 56195, 51160, 50443, 52114, 51160, 55161, 51160, 50452, 52114, 50980, 52517, 50980, 50799, 52114, 50980, 51890, 51469, 54963, 51469, 53169, 50980, 50425, 52114, 51160, 55161, 51160, 50434, 52114, 51160, 54744, 51160, 50443, 52114, 51160, 61643, 51160, 50452, 52114, 50980, 62546, 50980, 50799, 52114, 50980, 50752, 50304, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 74009, 50980, 50425, 52114, 51160, 61643, 51160, 50434, 52114, 51160, 56195, 51160, 50443, 52114, 51160, 55161, 51160, 50452, 52114, 50980, 52517, 50980, 50799, 52114, 50980, 50752, 50313, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50314, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 52114, 50980, 50752, 50313, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50425, 52114, 51160, 50434, 52114, 51160, 50443, 52114, 51160, 50452, 52114, 50980, 50799, 50752, 50309, 51469, 55865, 51469, 55912, 51469, 52664, 51469, 50799, 53362, 50980, 56477, 50980, 53169, 64664, 52517, 56092, 52456, 63267, 52517, 53336, 53169, 59013, 54744, 55133, 56195, 62518, 53362, 51160, 56477, 51160, 55161, 51160, 50434, 53362, 51160, 56477, 51160, 54744, 51160, 50443, 53362, 51160, 56477, 51160, 61643, 51160, 50452, 53362, 50980, 56477, 50980, 62546, 50980, 50799, 53362, 50980 ]

[ 0, 250, 19448, 5175, 2214, 19, 10, 15352, 30054, 483, 702, 30, 10, 2382, 3459, 8669, 8, 5730, 2342, 4467, 6, 7513, 30, 38668, 22052, 8, 3038, 6, 8, 2800, 30, 10, 5204, 12638, 1451, 4, 20, 2125, 16, 11, 211, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 12447, 1001, 20889, 1328, 6, 19, 5, 33215, 16739, 272, 119, 1176, 406, 6, 211, 6, 83, 6, 8, 211, 8165, 5705, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 52563, 50836, 52016, 52096, 51678, 52096, 52252, 52096, 51185, 51318, 51020, 51742, 56337, 51115, 79169, 50866, 61289, 51987, 51129, 50415, 51208, 51452, 50935, 55085, 74959, 50935, 51267, 77643, 80194, 62589, 50848, 51480, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 51208, 51295, 57890, 51218, 50935, 61529, 51174, 80194, 65975, 62587, 58455, 57481, 79169, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 58507, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 51020, 50915, 54531, 51003, 50848, 57885, 51109, 58706, 51406, 52823, 51129, 50451, 50935, 77948, 77841, 80194, 59506, 50920, 51258, 52563, 64779, 51318, 56337, 51310, 79169, 50866, 52166, 51987, 51129, 62951, 55085, 74959, 50935, 51267, 77643, 80194, 62589, 50848, 51480, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 57890, 51295, 50935, 61529, 51174, 80194, 65975, 51208, 51218, 62587, 58455, 57481, 79169, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 58507, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 54531, 60871, 57885, 51109, 58706, 51406, 52823, 51129, 50451, 51020, 51109, 50935, 77948, 50927, 56895, 53495, 59506, 50920, 51258, 52563, 64779, 51318, 56337, 51310, 79169, 50866, 52166, 51987, 51129, 62951, 55085, 74959, 50935, 51267, 77643, 80194, 62589, 50848, 51480, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 51208, 51218, 57890, 51295, 50935, 61529, 51174, 80194, 65975, 62587, 58455, 57481, 79169, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 58507, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 51020, 51003, 54531, 51003, 50848, 57885, 51109, 58706, 51406, 52823, 51129, 50451, 50935, 77948, 77841, 80194, 59506, 51282, 51803, 50920, 51258, 50460, 51083, 51742, 52288, 50836, 52016, 52096, 52582, 52096, 51701, 52096, 51268, 51742, 55838, 51310, 50848, 57062, 50866, 52166, 51987, 51129, 50415, 51268, 51218, 51023, 51452, 50850, 55085, 50927, 62663, 51109, 50944, 51253, 80194, 62589, 50848, 51775, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 56761, 50927, 51377, 54629, 51397, 50850, 71794, 51174, 80194, 65975, 51023, 51562, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 62100, 55040, 50927, 55792, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 51205, 56611, 50915, 50944, 51109, 58706, 51406, 52823, 51129, 50451, 69816, 50456, 51069, 56895, 53495, 59506, 51083, 51803, 50920, 51258, 50460, 51268, 51742, 52288, 66146, 51115, 51023, 51742, 55995, 51310, 50848, 57062, 50866, 52166, 51987, 51129, 50415, 51092, 51452, 50909, 55085, 65495, 50909, 51267, 50944, 51312, 80194, 62589, 50848, 51480, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 56761, 50927, 51377, 51023, 51218, 54629, 51218, 50909, 71794, 51174, 80194, 65975, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 76858, 55040, 50927, 57750, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 51205, 50849, 51268, 50943, 55838, 51056, 70985, 50944, 51109, 58706, 51406, 52823, 51129, 73466, 77948, 74381, 80194, 59506, 50920, 51258, 52288, 66146, 51115, 55995, 51318, 50848, 57062, 50866, 52166, 51987, 51129, 60043, 55085, 65495, 50909, 51267, 50944, 51312, 80194, 62589, 50848, 51480, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 56761, 50927, 51377, 54629, 51295, 50909, 71794, 51174, 80194, 65975, 51023, 51218, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 76858, 55040, 50927, 57750, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 51205, 50849, 51268, 50943, 55838, 51267, 70985, 50944, 51109, 58706, 51406, 52823, 51129, 73466, 77948, 51069, 56895, 53495, 59506, 50920, 51258, 52288, 66146, 51115, 55995, 51310, 50848, 57062, 50866, 52166, 51987, 51129, 60043, 55085, 65495, 50909, 51267, 50944, 51312, 80194, 62589, 50848, 51480, 57417, 57395, 51069, 50917, 58706, 51406, 52823, 79956, 51208, 51218, 50432, 50927, 51377, 57890, 51295, 50909, 71794, 51174, 80194, 65975, 62587, 58455, 57481, 50848, 57062, 50866, 52166, 51987, 51129, 76858, 55040, 50927, 57750, 63836, 51174, 80194, 71102, 64730, 61296, 56663, 73491, 60943, 54629, 51003, 70985, 50944, 51109, 58706, 51406, 52823, 51129, 50451, 51208, 62431, 51109, 50454, 51023, 51645, 50456, 77841, 80194, 59506, 50920, 51258, 50460, 51401, 51803, 50461, 51083, 51742, 52563, 50836, 52016, 52096, 51678, 52096, 52252, 52096, 54531, 52151, 79169, 50866, 52166, 51987, 51129, 50415, 51020, 51419, 51020, 51742, 63833, 50417, 51208, 51452, 50420, 74959, 50935, 51312, 67591, 80194, 62589, 50848, 51775, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 50935, 60025, 51254, 80194, 65975, 62587, 58455, 57481, 50848, 56238, 50866, 52166, 51987, 51129, 70031, 55040, 50953, 57618, 57769, 51254, 80194, 71102, 64730, 61296, 56663, 51019, 56611, 50981, 77643, 58706, 51406, 52823, 51129, 50451, 50935, 51312, 50456, 50927, 56895, 53495, 59506, 50920, 51258, 52563, 59495, 56238, 50987, 52166, 51987, 51129, 62951, 61062, 74959, 50935, 51312, 50847, 51380, 80194, 62589, 79267, 57417, 57395, 66482, 58706, 51406, 52823, 56761, 50953, 51377, 50935, 57769, 51174, 80194, 65975, 64730, 58455, 57481, 50848, 56713, 50987, 52166, 51987, 51129, 70031, 61255, 50953, 57618, 61529, 71551, 51750, 69415, 52823, 71102, 62587, 61296, 56663, 51019, 56611, 50995, 67591, 58706, 51406, 61852, 53127, 51129, 50451, 50935, 51253, 50456, 77841, 51289, 55033, 53495, 59506, 50920, 51258, 52563, 50840, 55464, 51293, 52016, 51293, 52252, 51293, 54619, 51364, 50848, 55196, 50977, 59468, 51987, 51129, 50415, 62728, 50420, 59287, 50935, 51056, 76322, 69134, 60916, 50848, 74989, 65495, 54768, 51187, 52667, 50953, 51162, 55857, 50896, 50935, 51056, 76322, 51960, 50433, 50848, 51411, 69615, 52986, 50953, 58778, 57769, 51006, 51960, 50445, 50848, 64533, 62008, 54580, 56747, 55196, 50977, 54768, 51187, 52270, 55223, 50935, 59960, 50927, 57618, 56785, 51006, 51960, 50457, 58856, 52563, 50840, 55464, 51293, 52016, 51293, 51716, 51310, 54619, 51235, 50848, 55196, 50977, 51897, 57666, 58056, 50420, 59287, 50909, 51056, 76322, 69134, 60916, 50848, 74989, 65495, 54768, 51187, 52667, 50953, 51162, 52252, 51742, 50935, 51056, 76322, 51960, 50433, 50848, 72652, 55857, 50980, 51897, 52986, 50953, 58778, 57769, 51006, 51960, 50445, 50848, 64533, 62008, 53200, 50980, 50848, 55196, 50977, 54768, 51187, 52270, 55223, 50935, 59960, 50927, 57618, 56785, 74728, 62107, 58856, 52534, 50840, 52233, 51293, 52091, 51293, 51716, 51293, 53719, 51274, 50868, 55196, 50977, 51897, 57666, 58056, 50420, 60654, 50909, 51056, 76322, 69134, 60916, 50868, 74989, 51443, 50938, 54768, 51187, 52667, 50964, 51162, 52817, 51364, 50909, 51056, 76322, 51960, 50433, 50868, 51411, 69615, 52986, 50964, 59092, 57769, 51006, 51960, 79581, 64533, 61002, 53719, 51345, 50868, 55196, 50977, 54768, 51187, 52270, 55223, 58056, 50456, 51443, 57750, 56785, 51006, 51960, 50457, 64663, 52563, 50840, 55464, 51293, 52016, 51293, 52252, 51293, 53200, 51160, 50848, 55196, 50977, 51897, 57666, 62728, 50420, 59287, 50935, 51056, 76322, 69134, 60916, 50848, 74989, 65495, 51083, 50889, 54768, 51187, 52667, 50953, 51162, 50935, 51056, 76322, 51960, 50433, 50848, 72652, 51595, 50889, 51897, 52986, 50953, 58778, 57769, 51006, 51960, 50445, 50848, 64533 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 13134, 16882, 6, 4246, 10, 20902, 11739, 9, 13305, 6, 2020, 3548, 6, 17691, 28430, 6, 32909, 6, 8, 31391, 1672, 9590, 6, 70, 8216, 7, 63, 12298, 1619, 16464, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2125, 11498, 10, 7212, 20889, 6, 24826, 198, 10, 33215, 16739, 9, 230, 6, 272, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50444, 51516, 58038, 51516, 60077, 51516, 50987, 69296, 50987, 51639, 50987, 51516, 50987, 51280, 51391, 51416, 77952, 51153, 52071, 51639, 52071, 51516, 52071, 50432, 51153, 53913, 51639, 51312, 51516, 51312, 51416, 52728, 51153, 51312, 62673, 52071, 51512, 52071, 51153, 52071, 51435, 52071, 51132, 67729, 51435, 58192, 51435, 60539, 52070, 58346, 51516, 50987, 51416, 51204, 50444, 51153, 51391, 51639, 51391, 65237, 51391, 51099, 53082, 51429, 53082, 51275, 53082, 51137, 51191, 50432, 51429, 53913, 51275, 51312, 51435, 51312, 51137, 52728, 51429, 51312, 65237, 51391, 51099, 51391, 51137, 57345, 51429, 53913, 51099, 50987, 51429, 50987, 51275, 50987, 51275, 51312, 51435, 51312, 51684, 51204, 50444, 51429, 50987, 51275, 50987, 51435, 58038, 51429, 50987, 51275, 50987, 51435, 50987, 51429, 51312, 50456, 51429, 50987, 51275, 50987, 51435, 50987, 66301, 50987, 51429, 50987, 51275, 50987, 51435, 50987, 51869, 51391, 51099, 51391, 52993, 67729, 51099, 52071, 51429, 52071, 51275, 52071, 51435, 52071, 50432, 51429, 58346, 51275, 51312, 51435, 51312, 51684, 65114, 51429, 51312, 68795, 66301, 52071, 51429, 52071, 51275, 52071, 51435, 52071, 51137, 77952, 51099, 50987, 51429, 50987, 51275, 50987, 51435, 58192, 51099, 50987, 51429, 50987, 51275, 50987, 51435, 60539, 51099, 50987, 51429, 50987, 51275, 50987, 52070, 58346, 51099, 50987, 51429, 50987, 51275, 50987, 51516, 50987, 51137, 53218, 51099, 51391, 51429, 51391, 51275, 51391, 60603, 51312, 51561, 51448, 51099, 51448, 51153, 51448, 51416, 75749, 51099, 51312, 51153, 51312, 51639, 79881, 51708, 51312, 51119, 51312, 51494, 51448, 51153, 51448, 51275, 51448, 51181, 70269, 51494, 51312, 51153, 51312, 51275, 51312, 63515, 53366, 51255, 55338, 51269, 52146, 50912, 52162, 50984, 51137, 69561, 57162, 50984, 50415, 53560, 53220, 51198, 50844, 52040, 50942, 51099, 50897, 51429, 50937, 52066, 50427, 52162, 51126, 52146, 51319, 55338, 50982, 53560, 50835, 55703, 56006, 53366, 51255, 55338, 51297, 52162, 51126, 52554, 50907, 51137, 69561, 55918, 50984, 50439, 52879, 60801, 51198, 50844, 52040, 50942, 51144, 50897, 51099, 50937, 52066, 50451, 52162, 51126, 52554, 51000, 55338, 51297, 52879, 50904, 55779, 50984, 67719, 50938, 51964, 51255, 62967, 51297, 52344, 51126, 52391, 50907, 51416, 69561, 57162, 50984, 50415, 52850, 58387, 51744, 56412, 51579, 50938, 51280, 50844, 51706, 50942, 51232, 50897, 51099, 50937, 52066, 50427, 52344, 51126, 52391, 51000, 62967, 51297, 52850, 54854, 51744, 50938, 55703, 56006, 51431, 51204, 53366, 51351, 62967, 51269, 51416, 53305, 55918, 50984, 50439, 52391, 50984, 52344, 51022, 50440, 52850, 55256, 51280, 50810, 51706, 50925, 51232, 50910, 51099, 50897, 50903, 57546, 50451, 52391, 51000, 52344, 51000, 62967, 51129, 52850, 50864, 55779, 50984, 62871, 51255, 59235, 51269, 51891, 50912, 52344, 50984, 51132, 69561, 57162, 50984, 50415, 52879, 54711, 52211, 56412, 51898, 50938, 51280, 50844, 51708, 50942, 51144, 50897, 51119, 50937, 52066, 50427, 52344, 51126, 51891, 51319, 59235, 50982, 52879, 52818, 51431, 50938, 55703, 56006, 51641, 50938, 51964, 51351, 59235, 51297, 52344, 51319, 51891, 51000, 51132, 53305, 55918, 50984, 50439, 52879, 54915, 51485, 50938, 51280, 50810, 51708, 50925, 73647, 51119, 50897, 52879, 50904, 52344, 51126, 51891, 51126, 59235, 51297, 52066, 50458, 51891, 52465, 50984, 63355, 53090, 51964, 51255, 62967, 51297, 52181, 51126, 52850, 50907, 51416, 69561, 57162, 50984, 50415, 53560, 57051, 51232, 50844, 51280, 50942, 51099, 50897, 51153, 50937, 52066, 50427, 52181, 51126, 52850, 51000, 62967, 51297, 53560, 50904, 55703, 56006, 53366, 51351, 62967, 51269, 51416, 53305, 55918, 50984, 50439, 52850, 50984, 52181, 51022, 50440, 53560, 55256, 51232, 50810, 51280, 50925, 51099, 50910, 79305, 50903, 57546, 50451, 52850, 51000, 52181, 51000, 62967, 51129, 53560, 50864, 55779, 50984, 58637, 51255, 62967, 51269, 52391, 50912, 52344, 50984, 51416, 63524, 57162, 50984, 50415, 52850, 53220, 51280, 50844, 51706, 50942, 51232, 50897, 51099, 50937, 52066, 50427, 52344, 51126, 52391, 51319, 62967, 50982, 52850, 50835, 55703, 56006, 53366, 51351, 62967, 51297, 52344, 51319, 52391, 51000, 52993, 68393, 55918, 50984, 50439, 52850, 54915, 51280, 50810, 51706, 50925, 51232, 50910, 51099, 50897, 52850, 50904, 52344, 51126, 52391, 51126, 62967, 51297, 52066, 50458, 51891, 52465, 50984, 62871, 51255, 59235, 51269, 51891, 50912, 52344, 50984, 51132, 63524, 57162, 50984, 50415, 52879, 54711, 51898, 56412, 51431, 50938, 51280, 50844, 51708, 50942, 51144, 50897, 51119, 50937, 52066, 50427, 52344, 51126, 51891, 51319, 59235, 50982, 52879, 52818, 51485, 51077, 55703, 56006, 51964, 51351, 59235, 51297, 52344, 51319, 51891, 51000, 51416, 68393, 55918, 50984, 50439, 52879, 54915, 51280, 50810, 51708, 50925, 73647, 51119, 50897, 52879, 50904, 52344, 51126, 51891, 51126, 59235, 50366, 51698, 57546, 50458, 51891, 52465, 50984, 62871, 51255, 51132, 69561, 57162, 50984, 50415, 59235, 52731, 51891, 51376, 52344, 51824, 50416, 52879, 77686, 52211, 56412, 51898, 50938, 51280, 50844, 51708, 50942, 51144, 50897, 51119, 50937, 52066, 50427, 59235, 51297, 52344, 50971, 51891, 51000, 52879, 54860, 51431, 78446, 52879, 70196, 59037, 51891, 64212, 51641, 50938, 51964, 51351, 59235, 54861, 52344, 52518, 51132, 53305, 55918, 50984, 50439, 51891, 51376, 52879, 57299, 51485, 50938, 51280, 50810, 51708, 50925, 73647, 51119, 50897, 59235, 51693, 52344, 50907, 51891, 51022, 52066, 50451, 52879, 62309, 52879, 57328, 62065, 51891, 51306, 63355, 53090, 51964, 51255, 51416, 69561, 57162, 50984, 50415, 62967, 52731, 52850, 51376, 52181, 51824, 50416, 53560, 70236, 51232, 50844, 51280, 50942, 51099, 50897, 51153, 50937, 52066, 50427, 62967, 51297, 52181, 50971, 52850, 51000, 53560, 61075, 53560, 70196, 59037, 52850, 64212, 53366, 51351, 62967, 54861, 52181, 52518, 51416, 53305, 55918, 50984, 50439, 52850, 51376, 53560, 51006, 53526, 61013, 51232, 50810, 51280, 50925, 51099, 50910, 79305, 62967, 51693, 52181, 50907, 52850, 67963, 54553, 50984, 52066, 50451, 53560, 62309, 53560, 57328, 62065, 52850, 51306, 58637, 51255, 62967, 51824, 51416, 63524, 57162, 50984, 50415, 52850, 51166, 52181, 52192, 53560, 51470, 50422, 51950, 51534, 50426, 51232, 50844, 51280, 50942, 51099, 50897, 51153, 50937, 52850, 51210, 52181, 51210, 52066, 50427, 53560, 64755, 53101, 62743, 51802, 51254, 53560, 72168, 59037, 52181, 51319, 52850, 61389, 52285, 51481, 53366, 51351, 62967, 51524, 52181, 51524, 52850, 51365, 52993, 68393, 55918, 50984, 50439, 53560, 62182, 51784, 60649, 52355, 52482, 51232, 50810, 51280, 50925, 51099, 50910, 79305, 52181, 50912, 52850, 51210, 52066, 50451, 53560, 64479, 52278, 51008, 52850, 51550, 52181, 57284, 62065, 53560, 51297, 50799, 52298, 50938, 53366, 51255, 55338, 52179, 52554, 51376, 52162, 51365, 51137, 69561, 57162, 50984, 50415, 52879, 77946, 51485, 56412, 52298, 50938, 51198, 50844, 52040, 50942, 51144, 50897, 51099, 50937, 52066, 50427, 52162, 51123, 52554, 51000, 52879, 50827, 55338, 58467, 52039, 51077, 55703, 56006, 52176, 51351, 52162, 52192, 55338, 52167, 52554, 51524, 51137, 53305, 55918, 50984, 50440, 52879, 59038, 51198, 50810, 52040, 50925, 73647, 51099, 50897, 52162, 72666, 57546, 50451 ]

[ 0, 713, 8787, 3495, 8, 3152, 24904, 2125, 6, 278, 11, 274, 10431, 3694, 6, 16, 10, 13363, 28191, 11739, 9, 33301, 8, 15073, 4, 11281, 33938, 8669, 6, 3459, 8669, 6, 8, 3152, 6757, 185, 5, 483, 6, 150, 6168, 3540, 8, 17605, 9590, 1606, 5581, 7, 5, 15229, 4, 590, 10, 20889, 9, 12730, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 41, 12447, 1001, 2877, 1328, 6, 4246, 10, 16331, 33215, 16739, 9, 2060, 119, 406, 6, 230, 10431, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50752, 50303, 51492, 50752, 50315, 51492, 50746, 50291, 52737, 50660, 50356, 50800, 79146, 52115, 50660, 50355, 50800, 50682, 50293, 50795, 50682, 50300, 60751, 50682, 50300, 51631, 79145, 61156, 50682, 50310, 74212, 50682, 50300, 65727, 50682, 50290, 51736, 50660, 50356, 50800, 50682, 50290, 50795, 50682, 50293, 57775, 50682, 50278, 68405, 50682, 50310, 51646, 50682, 50300, 54789, 50682, 50307, 51918, 50660, 50348, 50800, 50660, 50355, 50800, 50682, 76854, 79146, 53658, 67092, 50800, 79146, 64751, 77815, 55000, 50682, 50308, 72623, 50682, 50308, 51923, 62636, 54093, 50682, 50290, 50795, 50682, 50312, 50795, 50460, 79145, 50795, 79145, 50795, 50682, 76854, 50799, 62811, 56025, 50682, 50307, 55728, 50660, 50350, 50800, 79146, 50795, 50418, 50682, 50300, 52115, 62636, 53471, 50682, 50307, 59474, 50682, 50307, 52329, 50682, 50307, 50809, 50682, 50336, 50795, 50682, 50315, 64977, 50682, 50298, 50795, 50682, 50305, 54056, 79916, 50800, 50682, 50290, 74212, 50682, 50303, 52359, 50660, 50348, 57659, 50682, 50279, 57775, 50682, 50302, 53505, 50682, 50278, 50795, 50436, 50682, 50310, 68405, 50682, 50279, 51646, 62636, 65213, 50682, 50308, 50795, 50442, 50682, 50281, 51918, 62636, 50800, 50660, 50351, 50800, 50682, 50312, 50795, 50448, 50682, 50315, 50795, 50682, 50315, 51798, 51206, 50374, 55550, 76167, 58614, 50682, 50298, 55000, 57009, 50800, 58301, 58740, 50682, 50305, 54093, 50682, 50272, 50795, 50460, 50682, 50276, 69189, 50682, 50300, 50795, 57739, 50660, 50350, 50800, 50660, 50353, 56025, 50619, 50416, 50619, 58023, 55728, 50620, 50418, 50620, 50419, 50620, 50420, 50620, 50660, 50355, 60721, 50621, 50422, 50621, 50682, 50284, 53471, 50621, 50682, 50302, 50795, 50682, 50302, 50795, 50682, 50308, 79818, 50621, 50682, 50334, 67895, 50622, 50426, 50622, 79916, 50795, 50660, 50351, 61156, 50622, 50428, 50622, 50682, 50276, 54253, 50622, 50430, 50623, 50431, 50623, 50432, 50623, 50433, 50623, 50682, 50303, 57775, 50624, 50682, 50291, 53505, 50624, 50436, 50624, 50437, 50624, 50438, 50623, 50439, 50624, 50682, 50303, 51036, 50440, 50624, 50441, 50624, 50442, 50625, 50443, 50625, 50444, 50625, 50445, 50625, 50446, 50626, 50447, 50626, 50448, 50626, 50449, 50627, 50450, 50627, 50451, 50627, 50452, 50627, 50453, 50628, 50454, 50628, 50455, 50628, 50456, 50628, 50913, 77050, 57503, 50811, 50682, 50291, 70940, 50629, 50458, 50629, 50459, 50629, 50460, 50630, 50461, 50630, 57739, 67408, 50807, 55683, 50807, 55393, 51054, 50415, 50630, 50420, 51925, 52329, 67408, 50807, 55683, 50807, 57953, 51552, 50438, 55683, 50795, 61906, 50807, 51545, 50983, 51659, 60865, 54570, 50795, 55022, 50795, 51925, 52555, 61906, 50795, 54570, 50795, 59254, 53312, 61906, 50795, 54570, 50795, 51545, 50983, 51659, 50983, 50799, 54744, 50795, 52517, 50795, 53633, 58808, 52517, 50795, 55683, 50807, 54931, 50795, 51925, 52329, 52456, 50795, 51545, 51358, 51659, 51358, 50432, 55683, 50983, 52456, 50983, 54330, 51527, 50444, 51769, 52884, 51545, 51358, 51659, 51358, 50913, 77050, 57503, 50811, 50682, 50291, 50905, 50799, 74009, 50807, 54744, 50807, 53797, 61304, 51925, 52329, 74009, 50807, 54744, 50807, 54289, 51552, 50438, 74009, 50795, 54744, 50795, 51545, 50983, 51659, 60865, 74009, 50795, 54744, 50795, 53797, 50795, 51925, 52555, 74009, 50795, 54744, 50795, 54289, 51923, 74009, 50795, 54744, 50795, 51545, 50918, 51659, 50918, 53797, 50795, 50799, 67408, 50795, 55683, 50795, 55393, 52115, 67408, 50807, 55683, 50807, 57953, 50807, 51925, 52329, 52005, 52726, 67408, 50983, 55683, 50983, 51545, 50918, 51659, 50918, 57953, 50918, 52005, 52940, 51769, 52884, 51545, 51358, 51659, 51358, 50913, 77050, 57503, 50811, 50682, 50291, 50905, 50799, 67408, 50807, 55683, 50807, 53216, 50807, 55393, 61304, 51925, 52329, 67408, 50807, 55683, 50807, 53216, 50807, 57953, 51552, 50438, 61906, 50807, 54570, 50807, 52456, 50807, 51545, 50983, 51659, 60865, 55022, 50795, 51925, 52555, 61906, 50795, 54570, 50795, 52456, 50795, 59254, 53312, 61906, 50795, 54570, 50795, 52456, 50795, 51545, 50983, 51659, 50983, 50799, 54744, 50795, 52517, 50795, 52708, 50795, 53633, 58808, 54744, 50795, 52517, 50795, 52708, 50795, 54931, 50795, 51925, 52329, 55683, 50795, 52456, 50795, 52753, 50795, 51545, 50983, 51659, 50983, 52005, 52726, 55683, 50983, 52456, 50983, 52753, 50983, 54330, 51527, 52005, 52940, 51545, 50923, 51659, 50923, 51769, 52768, 51545, 51923, 51545, 52311, 51659, 52311, 51780, 52311, 50913, 77050, 57503, 50811, 50682, 50291, 50905, 50799, 74009, 50807, 54744, 50807, 53797, 61304, 51925, 52329, 74009, 50807, 54744, 50807, 54289, 51552, 50438, 74009, 50795, 54744, 50795, 51545, 50983, 51659, 50983, 51780, 60865, 74009, 50795, 54744, 50795, 53797, 50795, 51925, 52555, 74009, 50795, 54744, 50795, 54289, 68174, 55683, 50795, 51545, 50918, 51659, 50918, 51780, 50918, 52591, 52525, 50795, 53797, 50802, 51925, 52329, 54289, 61511, 52525, 50983, 51545, 50918, 51659, 50918, 51780, 56027, 54289, 61828, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50824, 52753, 50824, 51545, 50923, 51659, 71535, 52768, 51726, 50905, 54330, 51923, 52753, 50807, 52525, 50807, 51726, 50845, 60915, 51054, 50799, 51545, 51054, 51659, 51054, 51925, 52628, 52753, 50918, 52525, 50918, 51321, 52968, 51726, 50845, 60915, 51358, 50432, 51545, 51527, 51659, 51527, 51781, 75362, 51769, 52940, 51321, 52884, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50795, 52753, 50795, 51545, 50923, 51659, 50923, 51781, 71535, 52768, 52708, 51029, 52077, 51029, 51990, 50905, 55160, 51923, 51990, 50845, 69577, 50983, 50799, 51545, 50923, 51659, 50923, 51925, 52628, 52708, 51009, 52077, 51009, 51990, 50866, 51321, 52968, 51990, 50845, 69577, 57345, 51729, 51527, 51659, 75362, 51769, 52940, 51321, 52884, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50795, 52753, 50795, 51545, 50923, 51659, 50923, 51781, 71535, 52768, 52753, 51029, 52525, 51029, 51726, 50905, 54330, 51923, 51726, 50923, 60915, 51054, 50799, 51545, 50923, 51659, 50923, 51925, 52628, 52753, 51407, 52525, 51407, 51726, 50849, 60915, 60089, 52968, 51726, 50849, 60915, 51358, 50432, 51545, 51527, 51659, 51527, 51781, 75362, 51769, 52940, 51321, 52884, 53216, 50807, 52708, 50807, 53180, 50822, 55393, 50802, 50799, 53180, 50795, 57953, 50795, 51925, 52628, 53216, 50824, 52708, 50824, 51545, 51054, 51659, 51054, 51321, 52726, 52088, 50807, 52753, 50807, 52899, 50978, 55022, 52125, 52899, 50905, 59254, 50795, 51925, 52510, 52088, 50795, 52753, 50795, 51545, 50923, 51659, 50923, 51781, 71535, 52768 ]

[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 533, 7, 28, 341, 25, 10, 19834, 4, 20, 15229, 16, 11, 230, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 6711, 7630, 6568, 10, 1472, 9, 15073, 6, 9733, 6, 8, 15352, 30054, 30368, 6, 442, 24, 10686, 13, 822, 50, 177, 9629, 4, 20, 33215, 16739, 1171, 211, 119, 406, 6, 272, 119, 6, 163, 43531, 6, 272, 119, 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 ]

[ 54458, 50417, 52342, 50976, 50424, 52662, 60066, 52205, 57925, 52662, 61147, 53382, 53609, 53640, 52284, 53382, 50976, 50451, 58683, 58403, 57082, 56575, 53571, 50976, 58683, 51407, 52177, 53249, 52244, 53029, 59174, 53249, 50976, 50430, 52550, 56861, 53296, 57880, 52550, 50976, 53382, 53681, 52292, 52911, 52740, 57365, 54066, 50803, 52292, 51066, 50454, 53382, 56575, 53640, 56771, 73588, 51809, 52205, 52244, 52342, 52801, 52416, 56998, 52044, 58874, 51975, 57476, 52443, 57880, 52242, 62281, 52049, 60254, 52292, 59981, 52573, 52116, 52550, 58268, 53296, 56250, 53382, 50976, 53249, 50824, 52292, 50824, 51809, 53640, 52244, 52662, 52801, 52205, 50976, 53296, 51059, 52740, 51059, 52049, 51059, 50430, 52342, 79290, 66387, 53296, 50824, 52740, 50824, 52049, 50824, 50440, 52416, 60254, 52044, 52911, 51975, 52116, 53382, 50976, 53249, 50824, 52292, 50824, 50457, 53640, 56771, 73588, 51809, 52205, 50976, 53296, 51059, 52740, 51059, 52049, 51059, 50423, 52342, 50976, 50430, 66387, 52049, 50824, 53296, 51059, 52740, 51059, 50433, 52416, 58198, 52044, 62281, 51975, 55380, 53382, 50976, 53249, 50824, 52292, 54145, 53640, 58268, 52662, 57303, 66292, 53296, 50824, 52740, 50824, 52049, 73300, 66387, 51809, 52416, 60442, 52044, 52801, 51975, 51066, 55411, 51795, 52550, 51795, 50426, 54081, 53300, 53382, 70245, 52205, 58198, 52662, 62281, 52342, 60254, 52205, 59116, 52416, 52116, 52342, 53532, 52044, 52163, 52205, 73481, 52797, 50803, 51601, 51975, 60442, 52797, 58026, 51975, 51352, 50425, 52049, 53300, 52242, 52119, 52292, 58198, 52049, 57149, 52740, 60295, 52292, 59116, 52573, 57891, 52049, 62103, 53895, 52163, 52550, 52937, 53895, 50803, 51601, 52550, 51352, 50418, 53029, 59236, 53249, 57615, 53571, 60066, 53029, 57925, 55342, 52674, 53571, 52057, 55061, 60295, 53029, 57276, 60730, 57891, 55411, 51407, 50456, 52205, 50976, 51601, 52205, 50976, 52550, 51059, 50422, 52205, 50976, 50428, 52662, 50811, 52550, 50824, 50431, 52205, 59009, 52662, 54496, 52205, 57784, 53731, 61746, 52205, 60681, 54066, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50449, 54081, 50976, 50455, 52662, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50799, 52205, 51059, 50421, 53895, 51059, 52292, 51059, 52049, 51059, 50428, 52342, 75993, 52416, 50976, 52049, 50824, 52550, 51059, 50442, 52205, 50976, 50448, 52205, 50976, 52550, 51059, 52049, 51059, 50455, 52205, 50976, 50799, 52662, 50811, 52550, 50824, 52049, 50824, 50416, 52205, 60208, 52662, 59852, 52205, 54381, 53731, 58099, 52205, 58860, 54066, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50434, 54081, 77051, 52662, 50976, 53895, 51059, 52292, 51059, 52049, 51059, 50448, 52205, 51059, 50455, 53895, 51059, 52292, 51059, 52049, 51059, 50461, 52342, 50976, 52591, 52416, 50976, 52550, 51059, 52049, 51059, 50427, 52205, 72371, 52550, 50976, 52205, 50976, 52049, 51066, 50440, 52205, 72992, 53640, 50976, 52550, 50824, 52049, 66395, 54073, 50976, 50461, 53640, 50803, 53882, 50824, 52443, 50824, 51809, 54073, 52244, 52205, 52801, 52342, 51973, 53882, 50976, 54073, 50976, 52443, 51066, 50433, 54073, 50976, 50440, 53382, 50976, 52573, 50824, 52443, 63058, 53640, 72590, 53382, 50803, 53334, 50824, 52443, 50824, 50457, 53640, 58055, 54073, 50803, 51809, 52205, 60442, 53334, 50976, 53640, 50976, 52443, 62819, 53640, 50976, 50433, 57557, 50976, 52740, 51059, 51975, 51059, 50439, 53382, 74961, 57557, 50803, 52292, 50824, 51975, 77827, 53382, 53532, 53640, 52163, 54073, 58055, 53382, 50976, 52292, 50824, 51975, 50824, 52478, 54066, 58026, 60914, 57615, 54066, 50976, 53322, 51059, 51975, 68025, 53382, 50976, 50439, 54081, 50803, 52049, 51407, 50442, 53382, 57276, 54066, 57891, 52205, 62103, 54073, 52163, 53640, 52937, 53382, 50803, 50799, 52044, 62180, 52895, 59236, 52342, 59174, 52205, 60066, 51975, 57925, 52797, 59184, 52049, 52057, 53324, 53609, 53322, 57276, 52049, 59550, 52573, 57365, 53334, 58403, 53895, 56575, 52550, 50803, 50799, 53029, 54024, 54769, 52244, 56280, 59174, 53029, 64262, 55061, 57925, 56495, 56861, 60730, 57880, 55411, 60815, 57354, 50976, 50451, 57354, 55552, 65548, 59730, 57354, 58150, 65548, 59616, 59112, 50811, 50799, 65548, 55804, 59112, 51059, 50424, 52205, 60648, 52205, 50976, 53029, 73018, 52205, 50976, 50445, 52205, 50976, 52049, 51059, 50452, 52205, 50976, 50459, 53640, 50811, 52049, 50824, 53029, 51407, 50461, 54073, 50811, 51601, 53640, 55804, 54073, 53213, 53640, 57646, 54073, 58242, 53640, 50811, 52292, 58595, 54073, 54935, 53640, 58221, 54073, 50811, 53334, 50976, 50433, 52205, 54496, 54073, 51795, 50438, 58683, 50976, 53029, 50824, 52292, 77189, 60914, 59550, 54066, 57365, 52292, 51059, 53382, 51059, 53029, 51407, 52177, 53334, 50976, 54081, 51059, 50424, 52573, 50976, 50430, 53029, 50824, 53334, 51059, 52205, 51029, 53382, 51029, 50445, 56280, 50824, 53334, 50824, 50452, 54066, 58403, 60914, 56575, 58683, 50811, 56280, 50824, 53334, 73300, 60914, 50811, 51601, 58683, 55804, 60914, 60861, 58683, 57646, 60914, 58242, 58683, 50811, 56280, 50824, 53334, 54107, 60914, 61347, 58683, 58221, 60914, 59009, 54066, 54496, 53382, 57784, 53382, 50803, 53029, 57699, 54081, 52284, 52662, 59550, 52205, 57365, 77155, 52205, 50824, 66262, 50824, 50455, 52292, 56575, 53334, 56771, 52573, 50803, 52177, 52550, 50803, 52205, 50824, 66262, 54226, 53296, 59174, 54769, 56998, 53029, 58874, 66262, 50976, 54073, 50824, 53571, 51059, 50437, 58683, 60815, 58683, 50803, 53571, 50824, 52292, 50824, 54073, 63058, 60914, 57365, 60914, 58268, 54066, 57303, 54066, 50803, 53571, 50824, 52292, 50824, 52342, 73300, 53382, 50803, 51809, 54081, 60442, 53382, 52801, 53382, 50976, 52342, 50824, 53029, 51059, 52292, 51059, 50430, 54081, 50976, 50436, 54073, 50803, 53029, 50824, 52292, 50824, 54081, 50824, 50440, 52205, 60254, 52205, 52911, 52342, 52116, 66387, 54769, 50824, 53382, 57325, 52895, 57303, 52044, 58055, 69289, 51601, 69289, 53571, 50824, 52550, 50824, 52292, 50824, 50419, 52044, 58026, 52895, 51973, 52342, 53300, 66387, 53029, 50824, 52550, 50824, 53334, 53566, 52895, 58198, 52044, 57149, 51975, 60295, 74923, 53029, 50824, 52573, 66456, 52044, 57891, 51975, 53532, 52797, 52163, 51975, 50975, 52550, 51059, 51809, 52205, 72693, 52205, 50976, 53029, 51407, 50429, 52205, 50976, 50436, 52205, 50976, 52049, 51059, 50443, 52205, 76253, 53640, 50811, 52049, 50824, 53029, 51407, 50452, 54073, 59154, 53640, 52884, 54073, 58150, 53640, 56628, 54073, 50811, 51601, 53640, 50811, 52292, 50976, 50417, 54073, 60861, 53640, 57646, 54073, 50811, 53334, 50976, 50424, 52205, 52968, 54073, 51795, 50428, 58683, 50976, 53029, 50824, 52292, 60739, 60914, 57149, 54066, 60295, 52292, 51059, 53382, 51059, 53029, 51407, 50456, 53334, 50976, 54081, 51059, 50799, 52573, 50976, 50421, 53382, 50824, 53029, 51059, 53334, 51059, 52205, 51059, 50435, 56280, 50824, 53334, 75085, 54066, 59116, 60914, 57891, 58683, 50811, 56280, 50824, 53334, 67067, 60914, 55552, 58683, 52884, 60914, 58150, 58683, 59616, 60914, 50811, 50799, 58683, 50811, 56280, 50824, 53334, 58297, 60914, 60861, 58683, 59852, 60914, 54381, 54066, 52968, 53382, 61347, 53382, 50803, 53029, 50824, 50431, 54081, 52674, 52662, 52057, 52205, 60295, 77155, 52205, 50824, 66262, 77189, 52292, 59550 ]

[ 0, 250, 182, 1769, 12, 20764, 8, 8787, 15855, 2125, 6, 42, 15229, 16, 17407, 30, 63, 5386, 8, 9066, 2574, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 6755, 12547, 6, 17691, 28430, 6, 2342, 4467, 6, 9590, 3863, 6, 8, 1515, 21305, 35810, 561, 10, 5797, 990, 1506, 9, 2369, 14, 25935, 1626, 227, 3423, 9, 26545, 8, 15073, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 211, 6, 83, 6, 2060, 119, 406, 428, 245, 73, 43608, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50640, 50439, 50631, 51474, 50427, 53101, 59786, 51950, 63747, 52515, 50802, 65431, 51600, 60720, 52515, 50802, 50463, 52515, 50802, 65431, 72888, 50475, 54063, 50802, 65431, 72888, 50481, 52515, 50802, 63578, 52933, 50802, 65431, 51600, 60751, 52515, 61536, 54063, 50802, 65431, 51600, 60121, 52515, 63747, 51950, 51352, 51113, 51161, 51488, 51161, 51266, 51161, 50475, 53101, 50824, 68831, 51600, 50807, 51474, 50427, 53993, 59786, 55360, 63747, 54063, 62748, 50795, 51107, 60720, 54063, 62748, 50795, 65431, 50463, 54063, 50802, 50469, 52515, 50802, 50475, 51950, 50824, 71006, 65431, 63578, 51950, 50802, 71006, 51107, 60751, 53101, 61536, 52285, 59786, 51900, 63747, 52549, 50824, 51113, 63551, 51900, 50824, 51113, 50795, 74681, 50463, 52173, 50824, 51113, 50795, 67914, 50475, 52285, 50824, 67769, 72165, 51474, 50427, 53101, 71569, 60121, 51950, 50802, 51266, 61187, 52515, 50802, 65431, 51600, 60720, 52515, 50802, 50463, 52515, 50802, 65431, 72888, 50475, 54063, 50802, 65431, 72888, 50481, 52515, 50802, 63578, 52933, 50802, 65431, 51600, 60751, 52515, 61536, 54063, 50802, 65431, 51600, 60121, 52515, 63747, 55360, 51352, 51113, 50918, 51266, 51161, 51182, 51161, 50463, 70809, 50475, 53993, 50824, 71006, 68831, 51600, 50807, 51474, 50427, 53993, 59786, 55360, 63747, 54063, 50803, 75840, 74681, 66287, 50445, 52515, 57365, 51950, 57303, 53101, 50803, 50463, 52285, 50803, 50469, 51900, 50803, 50475, 52549, 50803, 51883, 50807, 51301, 50807, 75840, 50481, 51900, 50803, 63578, 52285, 59236, 53101, 56998, 51950, 57476, 52549, 57149, 51900, 51009, 51251, 65728, 50918, 50451, 51251, 50795, 50463, 53101, 50824, 51251, 61503, 50807, 50475, 51900, 51009, 51251, 50807, 77315, 51474, 50427, 65431, 51600, 60121, 66466, 51182, 61187, 65431, 72888, 51284, 60720, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50463, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50475, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 63578, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 51600, 50807, 51284, 61156, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 51284, 61187, 52433, 51422, 52367, 51422, 53060, 51422, 64435, 51422, 55308, 51422, 53064, 51422, 53215, 51161, 51883, 51161, 51266, 51161, 51182, 51161, 51905, 51161, 50475, 51886, 50915, 53598, 50915, 55455, 50915, 60198, 50915, 52665, 50915, 53780, 50915, 54333, 50807, 52065, 50807, 68831, 51600, 50807, 51384, 50807, 51474, 50427, 51558, 50795, 51384, 60121, 74531, 51905, 61187, 70446, 51558, 60720, 52776, 50795, 51699, 67583, 50795, 50463, 70446, 51558, 50795, 50469, 72888, 74531, 50475, 66466, 70446, 63578, 52776, 50795, 51699, 67583, 61156, 66466, 51182, 60121, 65431, 51600, 61187, 53215, 50795, 51883, 72233, 65431, 51266, 60720, 53215, 50795, 51883, 72233, 64534, 51266, 61393, 68831, 72888, 50463, 53215, 50795, 51883, 72233, 71006, 50469, 65431, 72888, 50475, 53215, 50807, 51883, 50807, 67769, 72165, 66287, 51474, 50427, 65431, 51600, 60121, 66466, 51182, 61187, 72888, 51284, 60720, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50463, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 50475, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 74531, 63578, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 51284, 61156, 53598, 50845, 53297, 50845, 55455, 50845, 54668, 50845, 73293, 50845, 52665, 50845, 52371, 64096, 50795, 65431, 72888, 51284, 61187, 52433, 51422, 52367, 51422, 53060, 51422, 64435, 51422, 55308, 51422, 53064, 51422, 53215, 50918, 51883, 79383, 50918, 51266, 51161, 51905, 51161, 51926, 51161, 50463, 52602, 50807, 51638, 50807, 70809, 50475, 51886, 50915, 53598, 50915, 55455, 50915, 60198, 50915, 52665, 50915, 53780, 50915, 54333, 50795, 52065, 50795, 71006, 68831, 51384, 50807, 52405, 50807, 51474, 50427, 72888, 51384, 60121, 74531, 51905, 61187, 70446, 51558, 60720, 52776, 50795, 51699, 67583, 50795, 50463, 71006, 70446, 50469, 65431, 72888, 50475, 64534, 66466, 63578, 53215, 50795, 51883, 61503, 61156, 51301, 50795, 51284, 60121, 51088, 50795, 51488, 61187, 55528, 50795, 52371, 64096, 65728, 50918, 76990, 50451, 55528, 50795, 52371, 64096, 50795, 50463, 55528, 50795, 52371, 64096, 61503, 50807, 51600, 50807, 50475, 55528, 50807, 52371, 50807, 51251, 50807, 51491, 50918, 76990, 51474, 50427, 52355, 59786, 52824, 63747, 52549, 50802, 53215, 52045, 51883, 52045, 50445, 51900, 59712, 52285, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50457, 53101, 50802, 50463, 51950, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50469, 52515, 50802, 50475, 51950, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50481, 53101, 50802, 63578, 52285, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50421, 51900, 61536, 52549, 50802, 51794, 50807, 51301, 50807, 75840, 67769, 50433, 52285, 63747, 51900, 50802, 52371, 50918, 51251, 52045, 50445, 52285, 59712, 53101, 50802, 77315, 67769, 50457, 51950, 50802, 50463, 52515, 50802, 77315, 67769, 50469, 54063, 50802, 50475, 52515, 50824, 77315, 67769, 63578, 77315, 51113, 61857, 52285, 50802, 77315, 67769, 50433, 53101, 63747, 52933, 50802, 52830, 52045, 51301, 52045, 50445, 52515, 59712, 54063, 50802, 66316, 74681, 68831, 66287, 50457, 55360, 50802, 50463, 53993, 50802, 66316, 74681, 68831, 66287, 50469, 57489, 50802, 50475, 53993, 50802, 66316, 74681, 68831, 66287, 50481, 55360, 50802, 63578, 54063, 50802, 66316, 74681, 68831, 66287, 50421, 52515, 61536, 52933, 50802, 66316, 74681, 68831, 66287, 50433, 54063, 63747, 52515, 50802, 53215, 50918, 51883, 79383, 50918, 51488, 50918, 51266, 50918, 50445, 55360, 59712, 57489, 58691, 55360, 50802, 50463, 52515, 50802, 50469, 52285, 50802, 50475, 52549, 50802, 50481, 52285, 50802, 63578, 51900, 66350, 52549, 61536, 51900, 50802, 55780, 50795, 52830, 64096, 67755, 50795, 51375, 60121, 52824, 63747, 52355, 50802, 53215, 50918, 51883, 50918, 51794, 50918, 51301, 79383, 50918, 50445, 52549, 59712, 52285, 58691, 52549, 50802, 50463, 52355, 50802, 50469, 54246, 50802, 50475, 57382, 50802, 50481, 54246, 50802, 63578, 54108, 66350, 57382, 61536, 54108, 50802, 55780, 50795, 52830, 64096, 67755, 50795, 51375, 60121, 58699, 63747, 58916, 50802, 53215, 50918, 51883, 50918, 51794, 50918, 51301, 79383, 50918, 50445, 57382, 59712, 54108, 57303, 54246, 50803, 50463, 54219, 50803, 50469, 52926, 50803, 50475, 52355, 50802, 50481, 52549, 50802, 63578, 51900, 59236, 52285, 56998, 53101, 57476, 52933, 57149, 52515, 52442, 50451, 75840, 67769, 72165, 50463, 77315, 74681, 68831, 50475, 51301, 50807, 72165, 66287, 63578, 51251, 50807, 68831, 51600, 61857, 52515, 50824, 51794, 50807, 66287 ]

[ 0, 713, 5175, 19834, 2125, 6, 278, 11, 83, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 1931, 21683, 10, 25306, 8, 32076, 5466, 4, 660, 21979, 8669, 3315, 5, 33301, 6, 2800, 30, 21072, 6, 20535, 6, 2342, 4467, 6, 8, 21979, 9590, 4, 20, 7212, 20889, 8, 19448, 6711, 146, 24, 1969, 13, 10, 619, 12, 8396, 822, 1310, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 272, 401, 6, 230, 406, 6, 1918, 6, 274, 10431, 119, 6, 8, 3676, 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 ]

[ 77669, 61384, 51454, 50426, 54182, 51454, 51057, 52758, 52369, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 51021, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 50866, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 54278, 52758, 57067, 52733, 51452, 51322, 51452, 51209, 51452, 51590, 51452, 52419, 51047, 55493, 50923, 53152, 51047, 51913, 61774, 51452, 50816, 51452, 51769, 51452, 72698, 54890, 60445, 60616, 51021, 51057, 61384, 51454, 50432, 61384, 53435, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 51021, 52851, 50866, 51963, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 50866, 52851, 50866, 51963, 50866, 51913, 55675, 56466, 50866, 51769, 53961, 52733, 51452, 51917, 51452, 51209, 51452, 51590, 51452, 52419, 51452, 52851, 51047, 51963, 51047, 51913, 61774, 51452, 50816, 51452, 51769, 51452, 51057, 54890, 77224, 55493, 51227, 51057, 52969, 51941, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 50866, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51322, 77647, 50866, 51590, 50866, 52419, 50866, 53152, 50866, 51913, 55675, 56466, 50866, 51769, 54278, 52969, 57647, 52733, 51452, 51322, 51452, 51209, 51452, 51590, 51452, 52419, 51452, 53195, 50948, 53152, 51452, 51913, 51452, 50801, 51452, 50816, 51452, 51769, 51452, 72698, 55493, 58292, 54890, 50948, 51057, 61384, 51941, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 50866, 52851, 50866, 51963, 50866, 51913, 55675, 56466, 50866, 51769, 50866, 51057, 52733, 50866, 51917, 77647, 50866, 51590, 50866, 52419, 50845, 52851, 50866, 51963, 50866, 51913, 55675, 54420, 56466, 50866, 51769, 53961, 51830, 51714, 51917, 51714, 51256, 51714, 51229, 51714, 51560, 51714, 51906, 51036, 51683, 51036, 50816, 75383, 61731, 51047, 50433, 51963, 51036, 52103, 51036, 50816, 75383, 56565, 50816, 75383, 53908, 50816, 75383, 50820, 57008, 75383, 50820, 51057, 50816, 51717, 51769, 51717, 51038, 50432, 54598, 50923, 51057, 52387, 51021, 57761, 51452, 51076, 51452, 51786, 51452, 51788, 51452, 52213, 51552, 51057, 52213, 58808, 54598, 57078, 52387, 57067, 51207, 51047, 51311, 51047, 50970, 51047, 50947, 51047, 52213, 51573, 51038, 50422, 52213, 51552, 51057, 52861, 64342, 52387, 51354, 50428, 51725, 51422, 51131, 51422, 50998, 51422, 50929, 51422, 52213, 51054, 51038, 50424, 52213, 50923, 50430, 51756, 67865, 52280, 50923, 61245, 51504, 51714, 51131, 51714, 51136, 51714, 50929, 51714, 52213, 76812, 52213, 51054, 72698, 54598, 57078, 53037, 57067, 53092, 51115, 51131, 51115, 51136, 51115, 51169, 51115, 52213, 51054, 51038, 50429, 52213, 57067, 53092, 51115, 51131, 51115, 51136, 51115, 50929, 51115, 51057, 54598, 51354, 50422, 53037, 57067, 53092, 51452, 51131, 51452, 50960, 51452, 51078, 51452, 50947, 51452, 50434, 52213, 51054, 51038, 51057, 51574, 51151, 50960, 51151, 51078, 51151, 50947, 51151, 51493, 51714, 54961, 51151, 52719, 51151, 53152, 51151, 51913, 51151, 54809, 51714, 54027, 51714, 52155, 51714, 52721, 52208, 50816, 53889, 75383, 63749, 50816, 75383, 55138, 50816, 75383, 59346, 50816, 75383, 52761, 50816, 53889, 75383, 56818, 50816, 75383, 53744, 50816, 75383, 57074, 50816, 75383, 50820, 51694, 53889, 75383, 59551, 50816, 75383, 53943, 50816, 75383, 56657, 50816, 75383, 52417, 50816, 53889, 75383, 56565, 50816, 75383, 53908, 50816, 75383, 50820, 51057, 51335, 51115, 51038, 51057, 52733, 51932, 51366, 51932, 51493, 56466, 50866, 51553, 55085, 72409, 56466, 64758, 54278, 51664, 51932, 51229, 51932, 65573, 57765, 51025, 51289, 51025, 51057, 51322, 51352, 51390, 51352, 51574, 50866, 61414, 63124, 51076, 50866, 51493, 51109, 56844, 50866, 54961, 50866, 52851, 50866, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 54961, 50866, 52851, 50866, 53152, 70986, 57733, 54278, 51574, 50866, 61414, 63124, 51076, 50866, 56844, 50866, 54961, 50866, 52851, 50866, 59091, 70986, 50866, 51270, 57733, 53961, 51493, 50866, 55912, 50866, 56844, 50866, 52719, 53840, 70986, 57733, 50866, 51057, 51574, 50866, 61414, 63124, 51076, 50866, 52659, 51109, 56844, 51047, 54961, 51047, 52851, 51047, 59091, 53840, 70986, 57733, 55085, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 57733, 53961, 51574, 50866, 61414, 63124, 51076, 50866, 51273, 50866, 59091, 53840, 70986, 50866, 51270, 57733, 50866, 51057, 51493, 51109, 64010, 51422, 55282, 51422, 56844, 51422, 52719, 71382, 70986, 57733, 55085, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 70986, 70986, 57733, 53961, 51322, 50802, 51390, 50802, 51574, 50866, 61414, 63124, 51076, 50866, 51493, 50866, 59091, 53840, 70986, 57733, 50866, 51057, 51912, 50802, 51590, 50802, 51574, 50866, 61414, 63124, 51076, 50866, 52659, 51109, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 70986, 57733, 74027, 51830, 50802, 51209, 52038, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 50866, 50430, 52468, 50802, 51322, 52030, 51273, 53840, 70986, 57733, 50866, 51057, 52733, 51009, 51366, 51009, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 52419, 51109, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51065, 57733, 54278, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 53961, 52419, 53840, 70986, 57733, 50866, 51057, 52733, 51009, 51366, 51009, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51493, 51109, 59091, 53840, 70986, 57733, 55085, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 57733, 53961, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51493, 50866, 59091, 53840, 70986, 50866, 51270, 57733, 50866, 75041, 51109, 55282, 51115, 56844, 51115, 52719, 51115, 53152, 59401, 70986, 57733, 55085, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 54278, 51065, 70986, 70986, 57733, 53961, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51216, 50866, 59091, 53840, 70986, 57733, 50866, 51057, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 51493, 51109, 55282, 51109, 56844, 51109, 52719, 51109, 52851, 51109, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51830, 50975, 51209, 50975, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 59091, 70986, 70986, 57733, 54278, 51574, 50866, 51317, 50866, 63124, 51076, 50866, 52659, 51025, 55282, 50813, 56844, 50813, 52719, 50813, 59091, 70986, 50866, 51270, 57733, 50866, 50428, 51912, 51066, 51590, 51066, 50430, 55282, 50813, 56844, 50813, 52719, 52810, 55282, 50813, 56844, 50813, 52719, 52784, 70986, 57733, 50866, 51057, 51209, 51352, 52004, 51352, 51574, 50866, 61414, 63124, 51076, 50866, 51493, 51109, 55282, 51151, 56844, 51151, 52719, 51151, 53152, 51151, 59091, 53840, 70986, 50866, 51270, 57733, 55085, 51065, 57733, 54278, 51574, 50866, 61414, 63124, 51076, 50866, 59091, 70986, 50866, 51270, 57733, 53961, 51493, 53840, 70986, 57733, 50866, 51057, 51574, 50866, 61414, 63124, 51076, 50866, 52659, 51109, 59091, 53840, 70986, 57733, 55085 ]

[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3495, 6, 7630, 6568, 10, 1472, 9, 26545, 8, 11098, 4, 20, 12547, 9, 21072, 6, 13305, 6, 32017, 6, 31391, 1672, 9590, 6, 8, 4401, 757, 3178, 6670, 10, 2216, 34753, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 6780, 10, 7212, 20889, 9, 8403, 13410, 228, 2289, 6, 5, 2125, 30853, 19, 10, 204, 73, 306, 86, 6543, 4, 13231, 5, 15229, 6, 5, 33215, 16739, 9, 381, 6, 274, 10431, 119, 6, 8, 211, 35315, 6, 6946, 10, 1472, 9, 30234, 8, 31657, 7, 5, 1374, 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 ]

[ 57530, 79970, 62827, 55139, 53246, 50891, 55676, 71881, 53730, 51129, 50424, 54003, 59605, 52966, 62936, 51467, 62827, 55263, 53332, 50891, 55994, 51004, 51361, 53730, 51129, 63842, 57871, 50825, 79321, 61988, 55222, 53730, 50870, 55820, 50361, 51087, 78223, 53730, 75578, 54003, 58806, 53003, 62936, 51467, 50364, 51459, 55987, 53246, 50891, 56403, 50982, 51453, 73598, 55948, 51129, 64402, 58806, 51306, 79970, 62827, 55987, 53246, 50891, 55676, 51693, 51039, 53977, 51129, 50424, 54003, 71189, 52917, 62936, 51467, 61988, 55263, 53332, 50908, 55994, 51258, 51361, 53740, 51129, 63842, 57871, 50825, 79321, 62827, 55615, 53977, 50891, 55820, 58340, 78223, 53977, 75578, 54003, 62758, 52763, 62936, 51467, 61988, 56128, 54561, 50891, 56403, 51129, 51453, 56689, 57675, 51129, 64402, 59605, 51306, 79970, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 54003, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 50891, 55994, 50366, 52438, 50908, 51361, 53332, 51129, 63842, 69104, 66624, 50891, 79321, 62827, 55222, 53977, 50891, 55820, 58340, 78223, 78521, 54949, 75578, 54003, 73598, 53003, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 51004, 51453, 55522, 50364, 52438, 53977, 51129, 64402, 59605, 50362, 52438, 50908, 79970, 61988, 55263, 53246, 50908, 55676, 79511, 78521, 53740, 51129, 50424, 54003, 58806, 52917, 62936, 51467, 64218, 55263, 53332, 50870, 55994, 50363, 52438, 50870, 51361, 53977, 51129, 63842, 50362, 51117, 50375, 52438, 50891, 79321, 64218, 55222, 78400, 55820, 66621, 75164, 50369, 52438, 53977, 75578, 54003, 58806, 52743, 62936, 51467, 64218, 55263, 53740, 50891, 56403, 51004, 51453, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50901, 53955, 50901, 73910, 50663, 50277, 50921, 52453, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 53703, 51437, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 62618, 53367, 50851, 53955, 50851, 51181, 50921, 50663, 50277, 51594, 50366, 52438, 50908, 51361, 53332, 51129, 50436, 53367, 50886, 53955, 50886, 51181, 50821, 50663, 50277, 51041, 69104, 66624, 53115, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 54441, 51130, 62827, 55222, 53977, 50870, 55820, 58340, 53325, 57246, 50851, 53331, 50851, 51957, 50936, 50663, 50276, 50890, 51895, 52438, 54949, 75578, 54003, 73598, 53003, 53955, 53651, 52197, 53651, 51640, 52208, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 54616, 65444, 51589, 55522, 50364, 52438, 53977, 51129, 50457, 50850, 51173, 50459, 57510, 50822, 64402, 59605, 50362, 52438, 50908, 50799, 80217, 54436, 51130, 61988, 55263, 53246, 64565, 50944, 51173, 50417, 64009, 50822, 55676, 54303, 51017, 52392, 80217, 51589, 78521, 53740, 64024, 50850, 50948, 65444, 65553, 54003, 58806, 52917, 57510, 54436, 52572, 51467, 64218, 55263, 53332, 58832, 50944, 50948, 57510, 50822, 55994, 50363, 52438, 53575, 51506, 51362, 50850, 50830, 64009, 51589, 53977, 66007, 80217, 50822, 63842, 50362, 51117, 50375, 52438, 53115, 50850, 50893, 65444, 54436, 51130, 64218, 55222, 53730, 57502, 57510, 50822, 55820, 66621, 53114, 50944, 50879, 80217, 51589, 50369, 52438, 53977, 63640, 51506, 51351, 64009, 69300, 54003, 58806, 52743, 80217, 54436, 52572, 51467, 64218, 55263, 53740, 58207, 50944, 50879, 57510, 50822, 56403, 54616, 50850, 51175, 80217, 51589, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50873, 53955, 50873, 51181, 51388, 50663, 50277, 55024, 51130, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50867, 53955, 50867, 51181, 50921, 50663, 50277, 54452, 51437, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 62618, 53367, 50886, 53955, 50886, 51181, 50921, 50663, 50277, 51864, 50366, 52438, 50908, 51361, 53332, 51129, 50436, 53367, 50886, 53955, 50886, 51181, 50887, 50663, 50277, 51139, 69104, 66624, 53115, 53367, 50844, 53955, 50844, 51181, 51014, 50663, 50277, 54441, 51130, 62827, 55222, 53977, 50891, 55820, 58340, 53325, 57246, 50874, 53331, 50874, 51957, 50860, 50663, 50276, 50858, 51895, 52438, 54949, 75578, 54003, 73598, 53003, 53955, 53651, 52197, 53651, 51640, 53898, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 54616, 50850, 51175, 65444, 51589, 55522, 50364, 52438, 53977, 69054, 57510, 50822, 64402, 59605, 50362, 52438, 50908, 71755, 51158, 80217, 54436, 51130, 61988, 55263, 53246, 65926, 64009, 50822, 55676, 54303, 51506, 51013, 80217, 51589, 78521, 53740, 51129, 50421, 51017, 51048, 50423, 50850, 51173, 65444, 65553, 54003, 58806, 52917, 57510, 54436, 52572, 51467, 64218, 55263, 53332, 57265, 63138, 57510, 50822, 55994, 50363, 52438, 53575, 51506, 51362, 51017, 51016, 64009, 51589, 53977, 66007, 80217, 50822, 63842, 50362, 51117, 50375, 52438, 53115, 50850, 51173, 65444, 54436, 51130, 64218, 55222, 53730, 57502, 57510, 50822, 55820, 66621, 53114, 50944, 51235, 80217, 51589, 50369, 52438, 53977, 63640, 51506, 51391, 51017, 51175, 64009, 69300, 54003, 58806, 52743, 80217, 54436, 52572, 51467, 64218, 55263, 53740, 58207, 57510, 65732, 50850, 76714, 54616, 80217, 51589, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50901, 53955, 50901, 73910, 50663, 50277, 50921, 52453, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 53703, 51437, 62758, 52917, 62936, 51467, 61988, 55263, 53740, 62618, 53367, 50851, 53955, 50851, 51181, 50921, 50663, 50277, 51594, 50366, 52438, 50908, 51361, 53332, 51129, 50436, 53367, 50886, 53955, 50886, 51181, 50821, 50663, 50277, 51041, 69104, 66624, 53115, 53367, 50874, 53955, 50874, 51181, 50921, 50663, 50277, 54441, 51130, 62827, 55222, 53977, 50870, 55820, 58340, 53325, 57246, 50851, 53331, 50851, 51957, 50936, 50663, 50276, 50890, 51895, 52438, 54949, 75578, 54003, 73598, 53003, 53955, 53651, 52197, 53651, 51640, 52208, 62936, 51467, 64218, 55987, 53246, 50891, 56403, 54616, 65444, 51589, 55522, 50364, 52438, 53977, 51129, 50457, 50850, 51173, 50459, 57510, 50822, 64402, 59605, 50362, 52438, 50908, 50799, 80217, 54436, 51130, 61988, 55263, 53246, 64565, 50944, 51173, 50417, 64009, 50822, 55676, 54303, 51017, 52392, 80217, 51589, 78521, 53740, 64024, 50850, 50948, 65444, 65553, 54003, 58806, 52917, 57510, 54436, 52572, 51467, 64218, 55263, 53332, 58832, 50944, 50948, 57510, 50822, 55994, 50363, 52438, 53575, 51506, 51362, 50850, 50830, 64009, 51589, 53977, 66007, 80217, 50822, 63842, 50362, 51117, 50375, 52438, 53115, 50850, 50893, 65444, 54436, 51130, 64218, 55222, 53730, 57502, 57510, 50822, 55820, 66621, 53114, 50944, 50879, 80217, 51589, 50369, 52438, 53977, 63640, 51506, 51351, 64009, 69300, 54003, 58806, 52743, 80217, 54436, 52572, 51467, 64218, 55263, 53740, 58207, 50944, 50879, 57510, 50822, 56403, 54616, 50850, 51175, 80217, 51589, 56689, 50364, 52438, 53977, 51129, 64402, 58806, 50362, 52438, 50908, 50799, 53367, 50873, 53955, 50873, 51181, 51388, 50663, 50277, 55024, 51130, 61988, 55139, 53246, 50891, 55676, 51258, 51039, 50369, 52438, 53740, 51129, 50424, 53367, 50867, 53955 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 4246, 10, 13305, 8, 21072, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 7212, 20889, 9, 11571, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 5679, 26709, 8, 980, 219, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50799, 53926, 50810, 68641, 51151, 55677, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53829, 53926, 50810, 51929, 50845, 64612, 53926, 50810, 52603, 54371, 57560, 52265, 53926, 50810, 51929, 52839, 53418, 53926, 50810, 51929, 50845, 53752, 53675, 53926, 50810, 52603, 52839, 53711, 53926, 50810, 51929, 54371, 53685, 53926, 50810, 51929, 50845, 52261, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53336, 52053, 50810, 51929, 52839, 55229, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 52553, 53675, 52053, 50810, 52603, 52839, 53711, 52053, 50810, 51929, 54371, 53563, 52053, 50810, 51929, 52839, 50883, 65310, 50810, 56922, 51151, 54632, 51151, 51929, 50845, 51169, 51151, 51316, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 57042, 51161, 55751, 51161, 52553, 53829, 52022, 50810, 51929, 52839, 53150, 52022, 50810, 52603, 54371, 52975, 52022, 50810, 51929, 52839, 54968, 52022, 50810, 51929, 50845, 52553, 54586, 52022, 50810, 52603, 50845, 68698, 52022, 50810, 51929, 54371, 53173, 52022, 50810, 51929, 52839, 50883, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52553, 53576, 52053, 50810, 51929, 52839, 53087, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 53752, 54586, 52053, 50810, 52603, 50845, 68698, 52053, 50845, 51929, 54371, 53685, 52053, 50810, 51929, 52839, 50884, 50799, 53926, 50810, 68641, 51151, 55677, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53829, 53926, 50810, 51929, 50845, 64612, 53926, 50810, 52603, 50845, 53431, 57560, 52265, 53926, 50810, 51929, 52839, 53418, 53926, 50810, 51929, 50845, 53752, 53675, 53926, 50810, 52603, 52839, 53711, 53926, 50810, 51929, 54371, 53685, 53926, 50810, 51929, 50845, 52261, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 60829, 51161, 55928, 51161, 55751, 51161, 52902, 53336, 52053, 50810, 51929, 52839, 55229, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 52553, 53675, 52053, 50810, 52603, 52839, 53711, 52053, 50810, 51929, 54371, 53563, 52053, 50810, 51929, 52839, 50883, 65310, 50810, 56922, 51151, 54632, 51151, 51929, 50845, 51169, 51151, 51316, 51151, 51549, 51151, 52007, 51151, 51513, 51151, 60829, 51161, 57042, 51161, 55751, 51161, 52553, 53829, 52022, 50810, 51929, 52839, 53150, 52022, 50810, 52603, 54371, 52975, 52022, 50810, 51929, 52839, 54968, 52022, 50810, 51929, 50845, 52553, 54586, 52022, 50810, 52603, 50845, 68698, 52022, 50810, 51929, 54371, 53173, 52022, 50810, 51929, 52839, 50883, 67584, 50810, 55677, 51151, 52557, 51151, 51929, 50845, 51169, 51151, 51064, 51151, 51549, 51151, 51436, 51151, 51513, 51151, 55521, 51161, 54142, 51161, 55783, 51161, 52553, 53576, 52053, 50810, 51929, 52839, 53087, 52053, 50810, 52603, 54371, 52975, 52053, 50810, 51929, 52839, 53294, 52053, 50810, 51929, 50845, 53752, 54586, 52053, 50810, 52603, 50845, 68698, 52053, 50845, 51929, 54371, 53685, 52053, 50810, 51929, 50845, 53091, 51370, 50884, 62114, 50810, 53369, 51151, 51774, 51151, 51515, 51151, 51929, 51151, 50970, 51151, 51169, 51151, 51032, 51151, 51425, 51151, 51223, 51151, 53775, 52299, 51179, 53829, 51720, 51373, 52870, 51720, 50810, 53807, 51812, 53230, 51720, 50810, 56817, 52448, 53418, 51720, 53197, 51239, 53675, 51720, 50810, 54876, 52448, 53711, 51720, 53119, 53685, 51720, 50810, 55199, 51029, 52261, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51434, 51151, 50998, 51151, 50929, 51151, 51032, 51151, 51915, 51151, 51368, 51151, 51223, 51151, 52902, 53336, 51133, 51373, 55229, 51133, 50810, 54876, 51812, 52975, 51133, 50810, 56817, 52448, 53294, 51133, 53197, 51041, 53675, 51133, 50810, 54876, 52448, 53711, 51133, 53119, 53563, 51133, 50810, 53775, 51795, 50791, 50883, 54516, 50810, 57117, 51151, 52557, 51151, 52435, 51151, 51515, 51151, 50970, 51151, 51064, 51151, 51032, 51151, 51425, 51151, 51729, 51151, 52553, 53829, 51186, 51373, 53150, 51186, 53119, 52975, 51186, 51373, 54968, 51186, 53197, 51041, 54586, 51186, 51373, 53533, 51186, 53119, 53173, 51186, 50810, 53091, 51331, 50883, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51929, 51047, 50998, 51151, 51169, 51047, 51032, 51151, 51223, 51151, 56817, 51009, 52553, 53576, 51133, 51373, 53087, 51133, 53119, 52975, 51133, 51373, 53294, 51133, 50810, 51434, 51047, 50929, 51047, 53807, 51029, 53752, 54586, 51133, 51373, 53533, 51133, 53119, 53685, 51133, 50810, 53775, 51331, 50884, 62114, 50810, 53369, 51151, 51774, 51151, 51515, 51151, 51929, 51151, 50970, 51151, 51169, 51151, 51032, 51151, 51425, 51151, 51223, 51151, 52902, 53829, 51720, 51373, 52870, 51720, 50810, 53807, 51812, 53230, 51720, 50810, 56817, 52448, 53418, 51720, 53197, 51239, 53675, 51720, 50810, 54876, 52448, 53711, 51720, 53119, 53685, 51720, 50810, 55199, 51029, 52261, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51434, 51151, 50998, 51151, 50929, 51151, 51032, 51151, 51915, 51151, 51368, 51151, 51223, 51151, 52902, 53336, 51133, 51373, 55229, 51133, 50810, 54876, 51812, 52975, 51133, 50810, 56817, 52448, 53294, 51133, 53197, 51041, 53675, 51133, 50810, 54876, 52448, 53711, 51133, 53119, 53563, 51133, 50810, 53775, 55115, 56046, 51133, 50810, 54516, 50810, 57117, 51151, 52557, 51151, 52435, 51151, 51515, 51151, 50970, 51151, 51064, 51151, 51032, 51151, 51425, 51151, 51729, 51151, 52553, 53829, 51186, 51373, 53150, 51186, 50810, 53091, 51812, 52975, 51186, 50810, 53775, 52448, 54968, 51186, 53197, 51041, 54586, 51186, 50810, 53807, 50824, 68698, 51186, 53119, 53173, 51186, 50810, 56817, 52448, 50883, 54272, 50810, 54437, 51151, 51774, 51151, 51660, 51151, 51929, 51047, 50998, 51151, 51169, 51047, 51032, 51151, 51223, 51151, 52553, 53576, 51133, 50810, 56817, 52448, 53087, 51133, 53119, 52975, 51133, 50810, 53807, 52448, 53294, 51133, 50810, 51434, 51047, 50929, 51047, 53752, 54586, 51133, 50810, 53807, 50824, 68698, 51133, 53119, 53685, 51133, 50810, 53775, 55848, 50883, 54516, 50810, 57117, 51151, 53369, 51151, 51317, 51151, 52447, 51151, 51425, 51151, 51320, 57560, 52302, 51186, 50810, 50970, 51714, 53807, 50824, 64612, 51186, 50810, 51064, 51422, 50804, 53230, 51186, 50810, 51032, 51452, 56817, 52448, 53418, 51186, 50810, 51515, 51047, 53752, 53675, 51186, 50810, 54876, 52448, 53711, 51186, 53119, 53685, 51186, 50810, 55199, 51029, 52261, 54272, 50810, 54437, 51151, 52769, 51151, 51774, 51151, 51660, 51047, 51915, 50845, 51368, 50845, 52902, 53336, 51133, 50810, 51915, 50845, 51368, 52839, 55229, 51133, 50810, 51915, 50845, 51368, 50845, 58358, 51812, 52975, 51133, 50810, 51915, 50845, 51368, 50845, 55199, 57838, 53294, 51133, 50810, 51434, 51047 ]

[ 0, 250, 15352, 30054, 14123, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 326, 5638, 18026, 6, 32909, 6, 31391, 1672, 9590, 6, 8, 21979, 8669, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 5, 2125, 29769, 198, 5, 33215, 16739, 83, 406, 6, 211, 119, 6, 211, 73, 250, 6, 272, 119, 6, 8, 381, 406, 6, 2351, 10, 1372, 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 ]

[ 56103, 50799, 51236, 59757, 51236, 52909, 53070, 50913, 50829, 67173, 57206, 54080, 51471, 67209, 57206, 53450, 51236, 55657, 50828, 57206, 50882, 53666, 53622, 50837, 57206, 52686, 50913, 50829, 67173, 57206, 55098, 56270, 51236, 60464, 51236, 52909, 53027, 50913, 50829, 67173, 57206, 54672, 51471, 67209, 57206, 53140, 51236, 55657, 50828, 57206, 55982, 62506, 57206, 54353, 50913, 50829, 67173, 57206, 57651, 51471, 50799, 51236, 59757, 51236, 52909, 53070, 50913, 50829, 67173, 57206, 54080, 51471, 67209, 57206, 53450, 51236, 55657, 50828, 57206, 50821, 53666, 53622, 50837, 57206, 52686, 50913, 50829, 67173, 57206, 54125, 56270, 51137, 51014, 51207, 50879, 71927, 51938, 51117, 60464, 51236, 52909, 53027, 51137, 50962, 51131, 50942, 77457, 52006, 50875, 50829, 67173, 57206, 54672, 74385, 51246, 50865, 51064, 50936, 52453, 50829, 67209, 57206, 53140, 51236, 55657, 50828, 57206, 59574, 51181, 51012, 50970, 51100, 51438, 51060, 62506, 57206, 52935, 52006, 50875, 50829, 67173, 57206, 57651, 51136, 51661, 51549, 52195, 51471, 54309, 51354, 52453, 56166, 58081, 50837, 52138, 50937, 68980, 51298, 67761, 51137, 51460, 65711, 54561, 50837, 50909, 59415, 61529, 50838, 50424, 50909, 55191, 51327, 50995, 52932, 62771, 53479, 53347, 50837, 51439, 51346, 50429, 58081, 50837, 51298, 52749, 51338, 51030, 53552, 52909, 68972, 58719, 65537, 59628, 50909, 50829, 51556, 50837, 51298, 53574, 51132, 51354, 51825, 51330, 52287, 51330, 51504, 50879, 50970, 50911, 52453, 60518, 51221, 50441, 58081, 53027, 51207, 50942, 71257, 67534, 51416, 51460, 51131, 50865, 50947, 50936, 65711, 54561, 68972, 62510, 62431, 51178, 51298, 51221, 51649, 51221, 50448, 50909, 50972, 51955, 53479, 53347, 55351, 51136, 51100, 51549, 51060, 58081, 53007, 51132, 51021, 53552, 52909, 68972, 58213, 65537, 50841, 51298, 50828, 51649, 60734, 50909, 54794, 50960, 51661, 51067, 52195, 51842, 55556, 51354, 52453, 56166, 58081, 50837, 52403, 50937, 68980, 51007, 67761, 51132, 51460, 65711, 54561, 63607, 77354, 67682, 50838, 50424, 50850, 55191, 52287, 51097, 51414, 51097, 50903, 53479, 53347, 50837, 52403, 51346, 50429, 58081, 50837, 51007, 52749, 51727, 51030, 53552, 52909, 50837, 51037, 66327, 59203, 59628, 50850, 50829, 51556, 50837, 51007, 50836, 55545, 51354, 51981, 51330, 51980, 51330, 52562, 50879, 51136, 50911, 52453, 65641, 51221, 50441, 58081, 53027, 51504, 50942, 71431, 67534, 51526, 51460, 51207, 50865, 50929, 50936, 65711, 54561, 50837, 51037, 65821, 58507, 51178, 50939, 51221, 51298, 51221, 50448, 50847, 50972, 51955, 53479, 53347, 55351, 50960, 51100, 51067, 51060, 58081, 53007, 51533, 51021, 53552, 52909, 50837, 51037, 50835, 50979, 59947, 50841, 59902, 51298, 60734, 50847, 54794, 50986, 51661, 51032, 52195, 51842, 54309, 51354, 52453, 56166, 58081, 50837, 52138, 50937, 68980, 51298, 67761, 51137, 51460, 65711, 54561, 50837, 50909, 58392, 65821, 50838, 50424, 50847, 55191, 51981, 50995, 51327, 62771, 53479, 53347, 50837, 52138, 73058, 58081, 50837, 51298, 52749, 51338, 51030, 53552, 52909, 65622, 50835, 50979, 65537, 66244, 50800, 52138, 57659, 50847, 50829, 51556, 50837, 51298, 53574, 51181, 51354, 52948, 51330, 51457, 51330, 51444, 50879, 67392, 52453, 55262, 58081, 50837, 54039, 59352, 52028, 50942, 51078, 50897, 51471, 51840, 68788, 51349, 51460, 51131, 50865, 50947, 50936, 65711, 54561, 50837, 51007, 63815, 79787, 50838, 50448, 50944, 50972, 51955, 53479, 53347, 50837, 54039, 77658, 50986, 51100, 51032, 51060, 58081, 50837, 51840, 52955, 51181, 51021, 53552, 52909, 50837, 50946, 66175, 59203, 57561, 50800, 51840, 50800, 54039, 59747, 50944, 54794, 51246, 51175, 51064, 51379, 51842, 50939, 50836, 63479, 67398, 51354, 52453, 56166, 66559, 78142, 58081, 50837, 54039, 54878, 73248, 51032, 50833, 51471, 52138, 67761, 51181, 51460, 66559, 51067, 59488, 51916, 54561, 50837, 54039, 77354, 67682, 50838, 50424, 50847, 55191, 51414, 51330, 51457, 51330, 51246, 50844, 51064, 60629, 53479, 53347, 50837, 52403, 53847, 62212, 68322, 58081, 50837, 54039, 52749, 54311, 51030, 51131, 50810, 50947, 53530, 51239, 52909, 50837, 51037, 66327, 50834, 51007, 66601, 57659, 50847, 54288, 66559, 51067, 51420, 50837, 54039, 50836, 75849, 51354, 51207, 50879, 71927, 52453, 50829, 51439, 54789, 58081, 53027, 51131, 50942, 77457, 67534, 51181, 51460, 51246, 50865, 51064, 50936, 65711, 54561, 50837, 51037, 67682, 51766, 50323, 50795, 50448, 50847, 50972, 51955, 53479, 53347, 55351, 50970, 51100, 51438, 51060, 58081, 53007, 51137, 51021, 53552, 52909, 50837, 51037, 66327, 62956, 57561, 66244, 59747, 50847, 54794, 51136, 51175, 51549, 51379, 51842, 54309, 51354, 52453, 56166, 75341, 51032, 50812, 58081, 50837, 52138, 59771, 51246, 50844, 63705, 51471, 51298, 67761, 51137, 51460, 75341, 51032, 59488, 51916, 54561, 50837, 50909, 59415, 61529, 50838, 50424, 50909, 55191, 51327, 50995, 52932, 50995, 78986, 58993, 50903, 53479, 53347, 50837, 51439, 51346, 50429, 58081, 50837, 51298, 52749, 51338, 51030, 51207, 50810, 50929, 53530, 51239, 52909, 68972, 58719, 65537, 59628, 50909, 54288, 51131, 50854, 50947, 51420, 50837, 77226, 51272, 50273, 51354, 51825, 51330, 52287, 51330, 51504, 50879, 50970, 50911, 52453, 60518, 51221, 50441, 58081, 53027, 51207, 50942, 71257, 67534, 51416, 51460, 51131, 50865, 50947, 50936, 65711, 54561, 68972, 62510, 62431, 51178, 51298, 51221, 51649, 51221, 50448, 50909, 50972, 51955, 53479, 53347, 55351, 51136, 51100, 51549, 51060, 58081, 53007, 51132, 51021, 53552, 52909, 68972, 58213, 65537, 50841, 51298, 50828, 51649, 60734, 50909, 54794, 50960, 50948, 51067, 51030, 51842, 55556, 51354, 52453, 56166, 50986, 50839, 51032, 51187, 52291, 50837, 51007, 50841, 51257, 50841, 52403, 60941, 51246, 50839, 51064, 50828, 51257, 50841, 52403, 63094, 51007, 53223, 51131, 50844, 63079, 51471, 51007, 54069, 51132, 51460, 51246, 50854, 51064, 59488, 51916, 54561, 63607, 77354, 67682, 50838, 50424, 50850, 55191, 52287, 51097, 51414, 51097, 51207, 50892, 65738, 50903, 53479, 53347, 50837, 52403, 51346, 50429, 58081, 50837, 51007, 52749, 51727, 51030, 51504, 50810, 50970, 53530, 51239, 52909, 50837, 51037, 66327, 59203, 59628, 50850, 54288, 51207, 50854, 50929, 51420, 50837, 51007, 50836, 55545, 51354, 51981, 51330, 51980, 51330, 52562, 50879, 51136, 50911, 52453, 65641, 51221, 50441, 58081, 53027, 51504, 50942, 71431, 67534, 51526, 51460, 51207, 50865, 50929, 50936, 65711, 54561, 50837, 51037, 65821, 58507, 51178, 50939, 51221, 51298, 51221, 50448, 50847, 50972, 51955, 53479, 53347, 55351, 50960, 51100, 51067, 51060, 58081, 53007, 51533, 51021, 53552, 52909, 50837, 51037, 50835, 50979, 59947, 50841, 59902, 51298, 60734, 50847, 54794, 50986, 51175, 51032, 51379, 51842, 54309, 51354, 52453, 56166, 51131, 50854, 76522, 58081, 50837, 52138, 59771, 51207, 50844, 62388, 51471, 51298, 67761, 51349, 51460, 51131, 50854, 50947, 59488, 51916, 54561, 50837, 50909, 58392, 65821, 50838, 50424, 50847, 55191, 51981, 50995, 51327, 50995, 52028, 50844, 51078, 60629, 53479, 53347, 50837, 52138, 73058, 51207, 50854, 50929, 50812, 58081, 50837, 51298, 52749, 51338, 51030, 52562, 50810, 51136, 53530, 51239, 52909, 65622, 50835, 50979, 65537, 66244, 50800, 52138, 57659, 50847, 54288, 52028, 50854, 51078, 51420, 50837 ]

[ 0, 250, 2933, 8, 15352, 30054, 3152, 2214, 19, 5175, 4785, 6, 4246, 30587, 29589, 6, 21072, 6, 20535, 2810, 6, 8, 2382, 3459, 8669, 4, 20, 2125, 16, 278, 11, 163, 428, 3694, 19, 10, 7212, 20889, 9, 5962, 741, 1685, 8, 41, 18186, 112, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 12608, 6, 274, 6, 12608, 119, 406, 6, 8, 274, 3639, 7, 5, 2214, 18, 9066, 8, 20425, 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 ]

[ 52552, 50631, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50279, 52325, 76049, 50802, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50279, 52325, 76049, 50802, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50279, 52325, 76049, 50802, 52591, 76049, 52038, 50678, 50276, 52030, 50678, 50278, 52125, 50678, 50278, 54145, 50678, 50278, 63004, 51090, 50799, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 56717, 57479, 52628, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52329, 50678, 50276, 50802, 52305, 50911, 51521, 50911, 51511, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51611, 50911, 51222, 50911, 51348, 55195, 52716, 52444, 50678, 50278, 50824, 51778, 51090, 51473, 51090, 51329, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51778, 50911, 51473, 50911, 51329, 55195, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 77800, 57752, 56717, 57479, 52628, 50678, 50276, 50824, 52305, 51090, 51521, 51090, 51511, 57825, 77800, 51302, 52716, 56717, 57479, 52359, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52444, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 67812, 52259, 52467, 52493, 56717, 57479, 52485, 74502, 50799, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 56717, 57479, 52628, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52329, 50678, 50276, 50802, 52305, 50911, 51521, 50911, 51511, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51611, 50911, 51222, 50911, 51348, 55195, 52716, 52444, 50678, 50278, 50824, 51778, 51090, 51473, 51090, 51329, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51778, 50911, 51473, 50911, 51329, 55195, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 77800, 57752, 56717, 57479, 52628, 50678, 50276, 50824, 52305, 51090, 51521, 51090, 51511, 57825, 77800, 51302, 52716, 56717, 57479, 52359, 76049, 50802, 53682, 50911, 51386, 50911, 51222, 55195, 52716, 52444, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 51611, 51090, 51222, 51090, 51348, 67812, 52259, 52467, 52493, 56717, 57479, 52485, 74502, 50799, 76049, 51599, 52716, 56717, 57479, 52628, 76049, 50802, 70194, 55865, 55195, 52716, 52329, 50678, 50276, 50802, 51511, 50806, 56636, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 74745, 54295, 55195, 52716, 52444, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 52716, 56717, 57479, 52510, 51329, 50896, 56844, 61588, 52555, 50678, 50279, 51599, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 77800, 50799, 51348, 50896, 54295, 61588, 56717, 57479, 52628, 50678, 50276, 52299, 52716, 52329, 74745, 54295, 54780, 52716, 56717, 57479, 52359, 76049, 50802, 51511, 50806, 56636, 55195, 52716, 52444, 50678, 50277, 50824, 51348, 50896, 54295, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 74745, 54295, 56795, 52259, 52467, 52493, 56717, 57479, 52485, 51511, 51685, 56636, 53601, 74502, 50799, 76049, 50802, 51511, 52570, 50798, 52716, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51075, 57825, 52467, 52716, 56717, 57479, 52485, 76049, 51599, 77800, 50799, 53682, 51585, 50852, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50278, 63004, 67812, 52259, 52467, 52493, 56717, 57479, 50809, 53061, 52485, 50804, 77800, 50799, 76049, 51599, 52716, 56717, 57479, 52628, 76049, 50802, 70194, 55865, 55195, 52716, 52329, 50678, 50276, 50802, 51511, 50806, 56636, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 74745, 54295, 55195, 52716, 52444, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 52716, 56717, 57479, 52510, 51329, 50896, 56844, 61588, 52555, 50678, 50279, 51599, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 77800, 50799, 51348, 50896, 54295, 61588, 56717, 57479, 52628, 50678, 50276, 52299, 52716, 52329, 74745, 54295, 54780, 52716, 56717, 57479, 52359, 76049, 50802, 51511, 50806, 56636, 55195, 52716, 52444, 50678, 50277, 50824, 51348, 50896, 54295, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 74745, 54295, 56795, 52259, 52467, 52493, 56717, 57479, 52485, 51511, 51685, 56636, 53601, 74502, 50799, 76049, 50802, 51511, 52570, 50798, 52716, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51075, 57825, 52467, 52716, 56717, 57479, 52485, 76049, 51599, 77800, 50799, 53682, 51585, 50852, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50278, 63004, 67812, 52259, 52467, 52493, 56717, 57479, 50809, 53061, 52485, 50804, 77800, 50799, 76049, 51599, 52716, 56717, 57479, 52628, 76049, 50802, 70194, 55865, 55195, 52716, 52329, 50678, 50276, 50802, 51511, 50806, 56636, 54780, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 74745, 54295, 55195, 52716, 52444, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 52716, 56717, 57479, 52510, 51329, 50896, 56844, 61588, 52555, 50678, 50279, 51599, 52467, 52716, 56717, 57479, 52485, 50678, 50278, 50824, 51329, 50806, 56844, 55195, 77800, 50799, 51348, 50896, 54295, 61588, 56717, 57479, 52628, 50678, 50276, 52299, 52716, 52329, 74745, 54295, 54780, 52716, 56717, 57479, 52359, 76049, 50802, 51511, 50806, 56636, 55195, 52716, 52444, 50678, 50277, 50824, 51348, 50896, 54295, 57825, 52716, 56717, 57479, 52510, 74502, 52612, 56874, 52555, 50678, 50277, 50824, 74745, 54295, 56795, 52259, 52467, 52493, 56717, 57479, 52485, 51511, 51685, 56636, 53601, 74502, 50799, 76049, 50802, 51511, 52570, 50798, 52716, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812, 52716, 56717, 57479, 52359, 50678, 50278, 50802, 51348, 53235, 52716, 53307, 51046, 55381, 50678, 50278, 50824, 51348, 57825, 52716, 56717, 57479, 52510, 50852, 52555, 50678, 50279, 50802, 51075, 57825, 52467, 52716, 56717, 57479, 52485, 76049, 51599, 77800, 50799, 53682, 51585, 50852, 56717, 57479, 52628, 76049, 51599, 52716, 52329, 50678, 50276, 51812 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 15352, 30054, 23225, 4, 20, 12280, 3275, 1725, 3109, 1239, 1312, 1289, 6, 816, 11, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 83, 6, 211, 6, 8, 272, 4, 590, 10, 13428, 9, 28816, 2397, 6, 24, 18, 10, 13363, 28191, 3251, 149, 31003, 6711, 29, 8, 32343, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50418, 52205, 71030, 54066, 50993, 50436, 54066, 50993, 50445, 54066, 50823, 52573, 51072, 50449, 53382, 58615, 54081, 50823, 52049, 50993, 50458, 52662, 50823, 50799, 52049, 50993, 54081, 68173, 52797, 50860, 52044, 50976, 50427, 52049, 50802, 52205, 52030, 51975, 50860, 52416, 50976, 50436, 52242, 50802, 52662, 56119, 52044, 50860, 53731, 50976, 50445, 52573, 50823, 54066, 63816, 54081, 50823, 52049, 66395, 52662, 56250, 52205, 50823, 53029, 50824, 50799, 53731, 68159, 59112, 50993, 52205, 50993, 50428, 52797, 50860, 52044, 54684, 52049, 73947, 74089, 51975, 50860, 52416, 61870, 52242, 50860, 52662, 67289, 52044, 50860, 53731, 54554, 52573, 50823, 54066, 60111, 54081, 50823, 52049, 79263, 52662, 50823, 51601, 52205, 50823, 53029, 50824, 50419, 53731, 60134, 59112, 50993, 52205, 70245, 53029, 50993, 52049, 50824, 50437, 52044, 59650, 52797, 50823, 53029, 50993, 50446, 52049, 53798, 53029, 50993, 53382, 50993, 57082, 72430, 53029, 50993, 52049, 50824, 51809, 52044, 55573, 52797, 50823, 53029, 50993, 50424, 52049, 58814, 53029, 50993, 52662, 50993, 53382, 50993, 50437, 53029, 50993, 52049, 75085, 52044, 56695, 52797, 50823, 53029, 50993, 50451, 52049, 64776, 52662, 50823, 55061, 72430, 52044, 50823, 51809, 54081, 50823, 59112, 57214, 52662, 67233, 52205, 58814, 53731, 61964, 52205, 50993, 50442, 53029, 50993, 52205, 70048, 52573, 66054, 53895, 50823, 52205, 61828, 53029, 67903, 51975, 50993, 52416, 50993, 52205, 50993, 55753, 53029, 50993, 52205, 50993, 50425, 52573, 58814, 53895, 50823, 52205, 50993, 50434, 53029, 53925, 52242, 50993, 51975, 50993, 52205, 70048, 53029, 50993, 52205, 50993, 50451, 52573, 54178, 53895, 50823, 52205, 50993, 50460, 53029, 50823, 51809, 54066, 50823, 55061, 50993, 50421, 53382, 63606, 54081, 50823, 59112, 51009, 50430, 52662, 55996, 52205, 53925, 53731, 69455, 52205, 51009, 50452, 53029, 50993, 52049, 61828, 52573, 62181, 53895, 50823, 52049, 50993, 52177, 53029, 67721, 52049, 50975, 51975, 50975, 52416, 74512, 53029, 50993, 52049, 69464, 52573, 65196, 53895, 50823, 52049, 50993, 50443, 53029, 70290, 52049, 50975, 52242, 50975, 51975, 59315, 53029, 50993, 52049, 50993, 50461, 52573, 50823, 52177, 53895, 50823, 52049, 50993, 50422, 53029, 53537, 52044, 50823, 55061, 50993, 50430, 51975, 59184, 52797, 50823, 59112, 51407, 50439, 52242, 69455, 52049, 70290, 53322, 71524, 52049, 51066, 50799, 53029, 50823, 54081, 59889, 53895, 50823, 52205, 60134, 52573, 50823, 52044, 64262, 52049, 50823, 52797, 54179, 52049, 50993, 54081, 50993, 50440, 56280, 50823, 52662, 67505, 53249, 50823, 53731, 63816, 52573, 50823, 52044, 58615, 53322, 50823, 52242, 56250, 53322, 50993, 52662, 50993, 53069, 53029, 50823, 54081, 60134, 53895, 50823, 52205, 64262, 52573, 50823, 52044, 54179, 52049, 50823, 52797, 65733, 52049, 50823, 54081, 51029, 50445, 55061, 51009, 50454, 52662, 52884, 54081, 58150, 52662, 59616, 54081, 50811, 50799, 52662, 68173, 53029, 50823, 54081, 65759, 53895, 50823, 52205, 54179, 52573, 50823, 52044, 61109, 52049, 50823, 52797, 59475, 52049, 50975, 54081, 58981, 56280, 50823, 52662, 60111, 53249, 50823, 53731, 57239, 52573, 50823, 52044, 50823, 51601, 53322, 50823, 52242, 68159, 53322, 50975, 52662, 50975, 50428, 55342, 50823, 52205, 54179, 53029, 50823, 52416, 61109, 53882, 50823, 53634, 59475, 52740, 50823, 52049, 56695, 52740, 50823, 52205, 51029, 50454, 55061, 51407, 51601, 53731, 55804, 52205, 60861, 53731, 57646, 52205, 58242, 53731, 72371, 52342, 50811, 52573, 50993, 52242, 50993, 50436, 52205, 52952, 52662, 59650, 52205, 50823, 52573, 50993, 52242, 70048, 52342, 66054, 52416, 50823, 52573, 50993, 52443, 50993, 50455, 52044, 73481, 52416, 50811, 53882, 50993, 52443, 50993, 50799, 52342, 62601, 52205, 55573, 52342, 50823, 53882, 50993, 52242, 50993, 50425, 52416, 58814, 52044, 50823, 53882, 50993, 52242, 50993, 50434, 52416, 55276, 52342, 50811, 52573, 50993, 52242, 50993, 50440, 52205, 60681, 52662, 59981, 52205, 50823, 52550, 50993, 52242, 50993, 50451, 52342, 64776, 52416, 50823, 53296, 50993, 52049, 50993, 50460, 52044, 50823, 51809, 52044, 50993, 53249, 51029, 50425, 52342, 50811, 52242, 51029, 50427, 52416, 54935, 52342, 52726, 52416, 57485, 52342, 58212, 52416, 50976, 50443, 52342, 50811, 52573, 50993, 52242, 50993, 50445, 52205, 55059, 52662, 71524, 52205, 50823, 52573, 50993, 52242, 61828, 52342, 67903, 52416, 50823, 52573, 50993, 52443, 50993, 52177, 52044, 67721, 52416, 50811, 53882, 50993, 52443, 68173, 52342, 58099, 52205, 58656, 52342, 50823, 53882, 50993, 52242, 50993, 50434, 52416, 65196, 52044, 50823, 53882, 50993, 52242, 50993, 50443, 52416, 59981, 52342, 50811, 52573, 50993, 52242, 58348, 52205, 62161, 52662, 54178, 52205, 50823, 52550, 50993, 52242, 50993, 50460, 52342, 50823, 52177, 52416, 50823, 53296, 50993, 52049, 50993, 50421, 52044, 53537, 52044, 50811, 53249, 51300, 50428, 52416, 58459, 52342, 52726, 52416, 57485, 52342, 57784, 52416, 59071, 52342, 55092, 52416, 51072, 50443, 52242, 51072, 50452, 52342, 50860, 52662, 50993, 50455, 52044, 61046, 52242, 66426, 52416, 50860, 52662, 50993, 51809, 53634, 71249, 52242, 63541, 52342, 50860, 52662, 50993, 50425, 52044, 71355, 52242, 65492, 52205, 50860, 53640, 50993, 50434, 52044, 66519, 52443, 67476, 52342, 50860, 52662, 50993, 50442, 52044, 67289, 52443, 73422, 52205, 50860, 53640, 50993, 50451, 52044, 70937, 52443, 65836, 52205, 50860, 52662, 50993, 50460, 52416, 50860, 51601, 52242, 50860, 50418, 52342, 50860, 54066, 50993, 50421, 52044, 71577, 52242, 66057, 52416, 50860, 57557, 50993, 50430, 53634, 65174, 52242, 51407, 50436, 53634, 50993, 52416, 51029, 57557, 62001, 52044, 51029, 52342, 51029, 50453, 54066, 50993, 50799, 52342, 50860, 52662, 72642, 52044, 56111, 52242, 62643, 52416, 50860, 52662, 59101, 53634, 60280, 52242, 54684, 52342, 50860, 52662, 69464, 52044, 55276, 52242, 61870, 52205, 50860, 53640, 62186, 52044, 61443, 52443, 67976, 52342, 50860, 52662, 50993, 50452, 52044, 69502, 52443, 61046, 52205, 50860, 53640, 50993, 50461, 52044, 50860, 51809, 52443, 71249, 52205, 50860, 52662, 50993, 50422, 52044, 65644, 52242, 71355, 52342, 50860, 54066, 50993, 50431, 52044, 62751, 52242, 66519, 52416, 50860, 57557, 50993, 50440, 53634, 70636, 52242, 51407, 50446, 53634, 50993, 52416, 50993, 57557, 50993, 50455, 54066, 51029, 51809, 53731, 51066, 52044, 66489, 52662, 50823, 56280, 50993, 50430, 53731, 55996, 52044, 50823, 56280, 50993, 50439, 52242, 69455, 53322, 50823, 56280, 50993, 50448, 52573, 71524, 53029, 50823, 52797, 61828, 53895, 62181, 52573, 50823, 52797, 50993, 52177, 52049, 67721, 52797, 50823, 52662, 59101, 52044, 58656, 52205, 50823, 55342, 69464, 52416, 65196, 53634, 50823, 55342, 50993, 50443, 52049, 70290, 52740, 50823, 55342, 50993, 50452, 53882, 54178, 56280, 50823, 52242, 50993, 50461, 53249, 50823, 52177, 52573, 50823, 52242, 50993, 50422, 53322, 53537, 52242, 50823, 52205, 50993, 50430, 53634, 59184, 53731, 50823, 55061, 50993, 50439, 52044, 69455, 52242, 50823, 55061, 50993, 50448, 53322, 71524, 52573, 50823, 55061, 50993, 50457, 53895, 62181, 55342, 50823, 52049, 50993, 52177, 53029, 56733, 53882, 50823, 52049, 59101, 52740, 58656, 52049, 50823, 53731, 69464, 53634, 65196, 52416, 50823, 59040, 62186 ]

[ 0, 250, 765, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 15352, 30054, 11739, 9, 13305, 6, 21979, 9590, 6, 2382, 3459, 8669, 6, 486, 118, 9877, 483, 6, 8, 32909, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 1372, 5466, 4, 20, 2125, 3905, 10, 33215, 16739, 9, 230, 406, 6, 274, 6, 230, 6, 274, 6, 8, 163, 428, 6, 2351, 10, 5679, 26709, 8, 33558, 16464, 1328, 63, 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 ]

[ 54458, 60820, 76557, 51124, 50899, 71313, 51346, 50906, 51377, 51234, 53435, 50798, 51012, 51206, 53576, 50899, 69348, 79266, 53473, 53244, 51081, 53936, 50306, 71313, 51346, 50906, 51162, 50997, 51358, 50816, 51030, 58296, 74494, 50883, 50906, 53473, 53307, 51081, 54968, 60833, 50871, 51060, 50906, 51111, 51081, 57825, 50893, 55989, 74494, 78440, 72974, 52732, 50940, 56415, 76463, 60746, 57973, 50899, 71255, 79266, 72020, 56613, 50882, 62529, 53194, 50302, 51116, 50871, 51124, 50906, 51124, 50902, 51345, 51234, 54055, 50798, 51014, 51206, 54402, 50899, 60953, 63804, 54845, 54631, 51146, 71863, 51215, 50871, 51255, 50906, 51124, 50902, 68215, 57359, 50906, 66877, 64587, 52847, 53660, 51146, 54968, 50871, 61752, 67922, 74822, 51735, 50997, 57394, 50921, 55989, 69348, 77117, 63307, 58376, 54755, 50906, 71673, 60746, 57830, 50899, 69348, 74360, 65039, 55309, 50809, 55435, 51124, 50902, 51116, 50931, 51238, 51339, 74806, 51377, 51234, 74541, 51021, 51206, 50855, 54569, 66824, 74360, 54119, 54818, 71702, 51339, 58503, 51242, 66002, 50997, 51241, 50816, 57611, 50899, 69348, 77117, 54119, 55632, 51339, 54968, 51339, 50950, 50902, 56902, 51021, 55989, 71142, 77117, 50846, 51146, 51695, 52555, 51081, 51031, 50997, 63947, 50808, 51234, 67450, 63109, 50899, 71255, 77117, 51731, 50330, 53275, 50314, 51608, 50297, 52392, 50876, 51605, 50843, 50859, 56229, 52035, 50307, 51291, 51247, 51933, 50798, 51030, 51206, 52981, 50871, 65490, 50895, 50876, 50828, 51339, 52942, 54007, 51339, 69356, 51339, 52630, 50877, 57321, 54725, 50871, 72199, 67661, 50884, 51339, 50817, 50861, 64321, 52444, 50956, 60015, 51226, 50871, 51362, 51339, 57520, 56209, 50871, 68344, 78954, 57158, 54721, 51050, 77065, 58603, 50956, 68344, 78954, 50818, 51247, 63342, 50812, 55694, 51060, 50899, 71883, 51290, 50906, 51159, 50997, 51446, 51234, 51933, 52243, 51163, 58168, 55105, 50871, 72974, 60102, 55250, 53425, 50906, 63461, 75494, 51227, 50906, 51377, 50816, 68067, 52925, 50899, 62296, 74220, 53846, 61023, 50906, 55395, 50871, 51345, 50997, 70022, 64292, 58419, 52221, 68067, 52878, 50899, 71357, 77117, 53846, 54411, 51050, 51162, 50871, 51073, 60355, 51247, 53030, 55328, 53268, 50899, 71142, 78440, 55250, 50890, 55331, 51215, 50997, 51346, 50906, 51377, 50902, 51162, 50871, 52056, 51234, 51692, 50798, 60538, 53223, 50899, 71142, 77117, 57158, 52329, 50902, 74492, 75494, 51221, 50906, 51112, 50902, 51112, 50816, 68067, 52844, 50871, 74360, 66877, 54845, 59046, 50902, 53219, 50906, 50991, 50902, 73642, 53531, 50309, 51189, 50997, 51189, 52615, 51024, 52986, 50899, 65124, 74360, 54845, 54755, 63199, 51247, 60597, 59451, 55328, 53017, 50899, 71142, 78440, 54845, 50887, 54578, 50822, 50931, 51175, 50997, 72999, 51159, 50902, 51048, 50931, 51048, 51234, 51413, 78816, 53227, 50899, 69348, 74360, 54845, 52329, 50931, 51173, 50902, 51157, 50931, 51048, 50997, 51103, 50906, 51422, 50816, 55400, 52925, 50871, 77117, 66877, 55250, 53307, 50931, 53574, 51001, 70452, 60693, 51101, 51234, 71941, 55941, 52616, 50899, 63307, 69366, 63762, 66919, 51238, 50931, 54982, 55510, 51001, 58822, 55768, 52881, 50899, 62847, 78440, 50828, 50997, 50925, 66557, 50902, 55185, 50930, 54960, 51345, 51247, 59460, 51285, 50876, 51336, 51050, 55956, 55941, 53227, 50900, 62221, 62125, 55557, 50890, 53645, 51221, 77195, 51085, 55107, 55328, 52925, 50956, 74359, 62465, 60191, 75205, 51351, 50843, 53294, 51247, 58681, 59428, 51204, 50877, 51285, 50876, 58673, 68067, 55489, 50900, 72792, 74494, 65147, 50895, 51214, 51101, 50843, 54755, 51279, 62377, 60826, 51255, 50816, 59146, 50836, 54710, 54403, 50900, 72792, 65124, 65490, 71255, 51962, 50319, 51828, 50285, 50849, 54578, 52415, 50314, 50967, 51234, 61471, 65757, 51472, 50902, 74903, 59146, 52981, 50899, 69348, 78440, 63307, 66696, 52329, 50906, 51588, 50294, 64989, 56153, 52417, 50899, 66824, 77117, 62176, 56613, 54957, 69391, 51197, 51056, 51001, 73453, 51226, 51001, 50918, 52723, 51024, 54247, 50956, 61508, 69074, 61368, 62720, 55268, 50906, 73787, 67450, 55768, 54583, 50956, 70215, 69771, 50818, 51001, 61871, 50809, 54662, 51091, 50997, 50983, 50931, 74726, 51291, 50902, 51285, 50931, 51661, 52613, 51259, 52981, 50899, 66824, 78440, 53846, 54392, 51120, 51380, 50816, 56715, 53695, 50906, 66877, 63307, 56690, 55395, 50956, 51215, 50906, 51203, 51001, 51238, 50951, 51255, 51197, 51346, 50951, 51048, 70663, 54840, 50956, 74360, 61686, 54845, 54755, 50956, 64471, 68694, 50980, 51197, 65439, 71491, 55768, 53268, 50956, 70215, 69771, 50846, 50973, 50361, 51168, 50890, 54662, 51162, 50871, 51291, 50902, 51413, 50906, 68900, 50918, 52615, 51024, 53223, 50899, 65124, 78440, 50841, 50997, 51016, 50843, 54392, 51234, 51112, 50816, 56715, 52209, 50899, 64587, 52717, 50314, 57158, 55395, 51247, 51116, 51050, 51446, 50876, 51413, 50871, 51446, 50877, 51661, 50876, 51077, 52723, 51024, 53041, 50900, 72792, 74494, 68344, 54357, 54411, 50956, 51412, 51247, 64019, 55768, 52579, 50900, 72792, 69348, 68344, 54357, 50809, 71910, 65757, 51623, 50871, 51896, 50899, 51591, 50906, 51591, 50906, 51161, 52723, 51024, 52761, 50899, 71142, 77117, 54119, 54392, 51247, 64019, 66435, 52667, 50899, 66824, 78440, 55250, 54957, 51234, 52221, 50893, 51206, 52616, 50899, 62847, 64923, 53800, 61326, 51247, 51800, 50297, 61581, 51285, 50816, 57251, 50899, 63336, 74220, 53816, 50880, 53206, 50840, 55694, 51111, 50997, 51215, 50899, 50967, 50906, 50991, 51234, 56001, 50925, 51206, 53227, 50899, 65124, 77117, 54845, 54392, 50906, 64823, 51060, 78441, 50871, 51238, 50906, 51221, 51247, 70229, 51740, 53063, 50899, 66824, 74360, 53434, 61023, 50906, 53219, 50871, 51159, 53492, 58419, 58419, 52530, 50302, 62525, 50995, 78816, 53044, 50899, 69348, 77117, 53846, 56604, 51050, 51162, 50871, 51162, 63571, 51247, 64019, 55768, 52738, 50899, 63307, 64923, 54996, 50880, 55435, 51121, 50871, 51043, 50906, 51194, 50902, 51110, 50902, 51095, 53492, 50914, 52615, 51024, 53227, 50899, 69348, 78440, 54119, 55447, 50902, 51173, 50997, 75494, 51124, 50902, 51116, 50906, 51162, 51247, 64019, 54320, 54216, 50899, 66824, 77117, 53816, 61968, 50902, 53219, 50906, 51377, 50997, 64424, 61471, 50807, 51234, 51291, 50871, 51183, 70663, 53044, 50899, 65124, 74220, 53434, 56604, 50973, 69686, 51048, 51050, 60597, 51413, 50816, 54320, 52881, 50899, 62847, 77117, 53846, 50890, 56229, 51175, 50997, 51124, 50902, 51116, 79500, 51234, 51661, 52615, 51024, 53203, 50899, 62379, 64122, 54996, 54818, 50931, 51173, 50997, 76343, 51345, 70338, 50931, 51157, 50816, 56153, 53063, 50899, 62847, 79266, 56129, 58970, 50931, 53574, 51001, 76198, 52415, 50323, 74492, 51291, 50906, 51314, 51234, 51077, 52723, 51024, 52616, 50899, 63336, 74360, 68895, 52434, 50321, 76923, 59689, 53711, 51001, 52545, 50319, 57957, 56153, 53268, 50899, 60953, 69686, 50863, 50876, 50870, 64144, 50902, 59964, 50890, 54960, 51073, 51247, 60015, 51362, 50876, 51417, 51050, 51291, 70663, 53227, 50900, 62379, 61768, 56690, 54818, 53492, 50827, 50876, 51124, 50871, 51112, 52206, 64648, 56153, 52844, 50956, 74359, 62465, 60191, 62125, 69163, 56341, 51247, 60763, 60821, 51351, 50877, 51661, 51050, 74462, 51413, 75977, 52615, 51024, 52878, 50900, 72794, 71142, 63864, 53759, 54755 ]

[ 0, 250, 15855, 8, 19834, 12, 13028, 765, 2214, 14, 7630, 6568, 10, 25306, 8, 9066, 5466, 4, 20, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 32909, 6, 1515, 21305, 6, 8, 21040, 2426, 283, 561, 7, 1045, 10, 5386, 8, 814, 12, 21330, 2369, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 8, 10, 132, 73, 176, 86, 6543, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 3676, 406, 428, 245, 73, 495, 6, 274, 119, 6, 381, 73, 387, 6, 1918, 6, 8, 163, 428, 73, 597, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 52665, 51313, 51996, 51313, 52196, 51313, 59439, 79197, 55308, 51243, 50461, 60691, 51353, 50799, 52338, 51243, 52695, 51243, 51946, 51243, 50415, 56049, 51748, 50421, 51649, 51851, 50422, 54039, 51851, 50424, 51649, 51851, 51257, 51319, 50425, 51649, 51319, 54039, 51319, 50428, 51649, 51319, 51257, 70813, 51649, 51297, 54039, 51297, 50431, 51257, 51297, 51649, 51297, 50433, 51649, 51128, 54039, 64568, 51257, 51128, 51649, 73370, 51649, 51128, 54039, 59656, 51257, 51126, 51649, 51126, 50440, 51649, 51000, 54039, 74965, 51257, 51000, 51649, 56069, 51649, 50971, 54039, 64529, 51257, 50971, 51649, 68656, 54039, 50971, 51649, 55256, 51257, 50941, 51649, 78127, 51649, 50941, 54039, 72587, 51257, 50941, 51649, 55293, 51649, 50941, 54039, 66585, 51257, 50941, 51649, 74509, 64885, 51353, 54039, 50941, 51649, 50941, 50799, 54277, 51243, 54541, 51243, 51996, 51243, 51257, 50941, 51649, 50941, 50415, 56708, 51922, 50416, 51649, 50941, 54039, 71045, 51257, 50971, 51649, 72428, 54039, 55650, 51649, 72640, 51257, 67643, 51649, 63521, 54039, 64179, 51649, 64761, 51257, 51000, 51649, 51000, 50427, 54039, 51126, 50428, 51649, 68364, 51257, 51128, 51649, 69957, 54039, 51297, 51649, 51297, 50434, 51649, 51297, 51257, 51297, 50436, 54039, 51319, 50437, 51649, 64212, 51257, 51319, 51649, 51319, 50440, 51649, 51851, 50442, 51257, 51851, 51649, 51851, 50461, 76860, 51353, 50799, 55308, 51243, 54541, 51243, 53064, 51243, 50415, 67792, 52727, 50426, 52155, 50924, 50427, 54019, 50924, 52355, 50917, 50430, 53602, 50942, 52315, 50942, 50431, 52186, 72215, 52795, 50866, 51752, 57815, 51784, 50866, 50439, 54568, 51189, 52549, 51141, 52671, 51189, 50456, 52882, 51101, 51789, 51101, 50457, 52285, 51177, 50461, 59439, 51353, 50799, 52665, 51293, 51996, 51445, 52196, 51293, 54699, 50938, 50415, 55308, 52727, 66206, 51293, 52355, 51264, 52155, 51293, 50418, 54560, 51254, 50422, 54978, 75027, 54377, 51933, 50461, 58366, 51359, 50799, 52695, 51151, 51946, 51151, 52032, 79197, 54277, 51748, 50422, 51649, 51851, 54039, 51851, 50424, 51257, 51319, 51649, 59197, 51649, 51319, 54039, 51319, 50428, 51649, 51319, 51257, 51319, 50430, 51649, 51297, 54039, 58255, 51257, 51297, 51649, 51297, 50434, 51649, 51297, 54039, 75753, 51257, 51128, 51649, 60438, 54039, 51128, 50439, 51649, 78692, 51257, 74593, 51649, 51126, 50443, 51649, 51126, 54039, 51126, 50445, 51257, 51000, 51649, 66701, 51649, 50971, 54039, 65397, 51257, 50971, 51649, 79390, 54039, 50971, 51649, 60754, 51257, 50971, 51649, 67010, 51649, 50971, 54039, 77379, 51257, 50971, 51649, 61545, 54039, 68358, 55793, 51359, 51649, 65540, 51257, 50971, 51649, 50971, 50799, 51996, 51151, 52541, 51151, 51836, 79197, 52338, 51922, 51649, 50971, 54039, 66981, 51257, 50971, 51649, 72428, 51649, 50971, 54039, 72640, 51257, 50971, 51649, 58116, 54039, 64179, 51649, 54689, 51257, 50971, 51649, 70001, 51649, 50971, 54039, 67393, 51257, 50971, 51649, 64463, 51649, 50971, 54039, 71588, 51257, 50971, 51649, 67009, 51649, 50971, 54039, 55108, 51257, 50971, 51649, 76428, 51649, 51000, 54039, 74965, 51257, 51000, 51649, 79392, 54039, 60825, 51649, 51126, 50445, 54039, 51126, 50446, 51257, 51126, 51649, 51126, 50448, 51649, 51128, 54039, 60801, 51257, 51128, 51649, 51128, 50452, 51649, 51128, 54039, 51128, 50454, 51257, 51297, 51649, 60550, 51649, 51297, 54039, 51297, 50458, 51257, 51319, 51649, 51319, 50460, 54039, 51319, 51649, 51319, 50799, 53064, 51293, 52196, 51293, 53916, 51293, 60515, 51307, 50415, 54541, 51748, 51257, 51319, 51649, 51319, 50417, 51649, 51851, 54039, 51851, 50419, 51257, 51851, 51649, 51851, 50421, 51649, 51851, 50455, 54182, 50862, 50799, 55430, 52250, 55430, 51717, 54182, 51124, 50423, 56026, 50901, 50430, 54890, 53264, 54182, 51134, 50440, 57302, 51562, 58185, 51562, 55846, 51562, 50457, 54182, 50937, 51601, 58373, 51377, 50425, 61384, 50892, 50431, 56026, 79271, 58373, 71380, 57734, 51397, 62059, 51397, 59522, 51397, 50455, 54890, 50833, 50799, 54890, 51110, 50422, 61384, 51121, 50430, 56026, 51177, 50437, 54890, 76098, 58185, 51562, 56825, 51562, 56482, 51562, 50453, 60616, 75404, 61384, 64801, 56026, 50981, 52591, 61384, 51178, 50428, 60616, 51101, 50437, 60616, 71442, 57302, 51397, 58185, 51562, 55846, 51562, 50456, 54182, 50925, 50799, 55308, 51243, 51996, 51313, 52196, 51313, 52601, 51313, 54182, 51178, 50423, 56026, 51043, 50431, 54890, 51121, 50439, 54182, 51134, 50456, 54182, 50866, 50799, 56177, 51671, 53064, 51243, 52541, 51243, 53339, 51243, 50415, 58373, 77399, 61384, 50987, 50431, 56026, 68535, 58373, 50943, 50799, 56049, 51445, 52665, 51293, 51946, 51293, 52032, 51293, 54890, 51043, 50422, 61384, 51412, 50430, 56026, 51337, 50439, 54890, 51391, 50453, 61384, 70634, 56026, 50937, 50461, 50628, 50799, 54541, 51243, 53064, 51313, 52196, 51313, 53916, 51313, 53215, 52024, 53215, 52024, 50415, 54890, 51121, 50422, 54182, 51043, 50430, 54489, 64967, 54182, 52919, 57530, 51011, 51730, 53435, 51925, 51407, 50768, 50277, 66403, 51883, 50873, 51883, 53890, 51638, 50833, 51638, 50833, 69450, 54342, 51883, 50833, 51883, 50833, 69450, 80223, 52155, 53040, 51638, 50833, 51638, 50833, 52315, 51212, 50443, 52155, 51481, 50444, 51883, 50833, 51883, 62955, 52315, 53161, 50450, 51638, 50873, 51638, 50873, 69450, 55345, 51883, 50855, 51883, 50855, 52155, 54521, 50460, 59017, 51945, 53534, 55956, 52392, 50768, 50277, 52115, 51883, 63471, 51883, 53049, 51638, 50833, 51638, 50833, 69450, 53052, 51883, 50833, 51883, 50833, 69450, 55306, 51638, 50833, 51638, 54207, 51299, 50833, 51299, 53639, 51883, 50855, 51883, 50855, 69450, 50873, 50452, 51638, 59012, 51638, 63152, 51883, 54583, 51883, 50855, 54890, 69866, 51638, 50855, 51638, 57326, 50979, 52069, 58048, 51538, 50461, 50847, 51692, 68051, 50887, 51088, 50811, 51093, 61056, 51692, 54890, 50893, 50953, 55998, 52392, 51270, 50374, 54502, 51534, 50768, 50277, 62192, 52143, 51671, 50423, 54890, 58292, 51270, 50886, 69450, 70217, 54890, 51173, 66962, 50901, 69450, 76782, 51270, 55799, 51299, 50855, 51088, 50855, 51093, 59079, 51270, 53115, 51299, 51010, 51088, 50811, 51093, 50890, 51133, 51003, 51270, 79743, 53032, 75665, 51270, 55814, 51299, 51010, 51088, 50811, 51093, 50890, 51133, 51003, 69450, 70334, 51383, 55346, 51383, 78473, 53032, 57747, 51017, 51115, 50799, 51794, 50840, 51154, 50887, 74739, 52602, 51449, 78550, 51186, 55998, 52536, 52365, 51423, 51270, 50837, 50768, 50277, 50879, 50415, 53032, 66139, 50939, 51134, 50423, 54489, 51060, 51270, 58964, 51270, 53935, 69450, 74168, 51270, 61699, 58373, 58443, 51186, 50901, 51270, 50822, 69450, 73626, 50909, 55098, 51794, 50855, 66528, 51165, 55395, 51794, 50930, 51154, 77923, 50887, 61966, 50945, 51003, 51270, 51365, 50439, 54890, 51060, 50442, 50939, 54207, 51270, 51051, 50446, 50939, 53639, 51794, 50962, 51154, 50962, 51165, 51010, 65500, 50945, 51003, 51383, 50928, 69450, 70172, 50992, 53920, 54890, 79350, 51126, 50458, 56894, 50799, 52143, 51293, 51299, 50880, 65182, 51093, 50887, 50979, 51790, 50953, 55998, 52392, 52365, 52059, 51270, 50904, 50768, 50277, 50879, 50415, 54890, 51060, 50416, 50847, 51790, 50909, 51790, 50422, 51270, 56295, 66023, 51631, 51270, 51058, 69450, 50905, 50430, 56026, 62109, 50953, 50901 ]

[ 0, 250, 15352, 30054, 3495, 8, 5175, 1619, 2214, 4246, 13305, 6, 6755, 12547, 6, 1076, 560, 31365, 25999, 6, 31391, 1672, 9590, 6, 8, 26432, 636, 3938, 22052, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 27841, 3006, 11332, 20889, 9, 5773, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 6453, 9, 26545, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50650, 61627, 52678, 52254, 56103, 53542, 58378, 50866, 64149, 50836, 53502, 51605, 51947, 51420, 63711, 54317, 50989, 51685, 52698, 50936, 63306, 54053, 50916, 51358, 52384, 53097, 52854, 63711, 54728, 50973, 50980, 53084, 51167, 64149, 50836, 51180, 63711, 57291, 50877, 51226, 52148, 67424, 63306, 54647, 50989, 50865, 52698, 51100, 52636, 63711, 50904, 57126, 54089, 51279, 54089, 51040, 54089, 50916, 54089, 50973, 54089, 51844, 51552, 52033, 51492, 52384, 51591, 50801, 50878, 64149, 50836, 51039, 63711, 54317, 63306, 64855, 52678, 62019, 51374, 51059, 52678, 50938, 53510, 51084, 63123, 51971, 54930, 64149, 63954, 52678, 50921, 51180, 63711, 66185, 52678, 58460, 51844, 50930, 63306, 58215, 51971, 52931, 51374, 52590, 51373, 63711, 66460, 52678, 51469, 56682, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 50880, 53782, 52854, 63711, 54728, 51040, 50800, 63282, 50973, 59065, 50830, 64149, 50836, 51180, 63711, 57291, 51040, 76200, 52236, 50310, 52236, 50315, 54411, 51374, 50898, 54800, 54647, 51040, 75007, 59065, 50830, 59836, 51844, 50911, 52636, 63711, 50904, 56178, 50921, 50989, 50921, 50973, 50921, 51176, 53898, 54457, 51552, 52402, 73086, 50878, 64149, 50836, 51039, 63711, 57559, 52943, 58798, 51040, 51605, 63306, 57850, 50956, 51605, 52943, 58466, 50989, 51585, 50973, 51585, 51533, 51059, 53510, 51084, 64248, 52678, 58866, 64149, 66425, 52943, 60224, 52943, 52938, 63711, 66185, 52678, 54230, 54457, 50930, 63306, 64526, 52943, 51264, 50456, 51533, 52590, 51373, 63711, 50904, 65718, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 50904, 53523, 51192, 63306, 54053, 51176, 53305, 52854, 63711, 54728, 50900, 51192, 50956, 51192, 50989, 51192, 50973, 51192, 64149, 50836, 51180, 63711, 54915, 50956, 50809, 51533, 50898, 54800, 54647, 50916, 50818, 54457, 50911, 52636, 63711, 50904, 57126, 51919, 50289, 75962, 59368, 58692, 50806, 51844, 51552, 52033, 53520, 50801, 50878, 64149, 50836, 51039, 63711, 62488, 52678, 55440, 50916, 51049, 54800, 64855, 52943, 65337, 52943, 56799, 51040, 52236, 50310, 50880, 51374, 51059, 53510, 51084, 64248, 52678, 59646, 64149, 66425, 52943, 51215, 51180, 63711, 66185, 52943, 51294, 59758, 52236, 50315, 50880, 51844, 50930, 63306, 54647, 51374, 52590, 51373, 63711, 50904, 56682, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 62488, 52678, 57818, 63306, 64855, 52943, 60133, 52943, 53193, 51279, 71599, 52854, 63711, 64248, 52678, 58346, 51040, 50921, 50989, 50921, 50973, 50921, 50916, 50936, 64149, 66425, 52943, 52711, 52943, 50925, 53510, 51084, 63155, 52678, 68465, 51374, 50817, 52402, 50795, 63306, 54647, 50916, 50809, 51844, 50911, 52033, 51650, 51373, 63711, 72806, 52235, 51591, 54578, 50921, 50965, 50921, 50973, 50921, 50902, 51919, 50297, 51469, 51132, 75759, 50878, 64149, 64580, 51743, 51492, 64401, 51605, 53510, 51084, 50904, 53337, 51161, 63306, 54053, 50871, 51685, 50965, 51685, 73646, 53510, 51084, 54728, 64149, 62859, 52235, 50925, 51180, 63711, 63319, 52943, 56060, 51957, 50930, 63306, 67323, 52235, 63335, 52235, 58774, 51181, 52590, 51373, 63711, 59934, 52943, 50921, 54206, 51167, 50973, 51167, 50871, 51160, 50965, 51160, 51957, 52369, 50801, 50866, 64149, 64580, 52235, 51452, 51039, 63711, 54317, 63306, 50880, 53782, 52854, 63711, 54728, 50871, 50980, 50965, 50980, 50973, 72544, 50980, 64149, 50836, 51180, 63711, 54915, 51844, 50898, 54800, 54647, 51957, 50911, 52636, 63711, 50904, 56310, 50921, 51040, 50921, 50916, 50921, 50989, 50921, 51120, 51196, 51181, 51552, 52332, 73086, 50878, 64149, 50836, 51039, 63711, 54317, 51040, 50809, 63306, 64855, 53399, 50950, 50431, 53399, 53974, 51027, 52236, 50305, 52236, 50310, 50880, 51181, 51059, 53510, 51084, 57869, 52235, 54930, 64149, 66425, 53399, 72915, 53399, 50882, 51180, 63711, 57291, 52235, 55178, 51844, 51290, 63306, 58215, 53399, 65563, 52636, 63711, 60863, 53399, 51945, 56310, 50821, 51040, 73235, 50821, 50989, 50921, 51120, 51585, 51181, 51573, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 54053, 51027, 50983, 51040, 50983, 50989, 50983, 51181, 54774, 52854, 63711, 54728, 64149, 50836, 51180, 63711, 54915, 69248, 63306, 58215, 51040, 73235, 50821, 50989, 50821, 50877, 58133, 77682, 52636, 63711, 50904, 54578, 51055, 50973, 51196, 50968, 51196, 54311, 51552, 51743, 73086, 50878, 64149, 54402, 51086, 51091, 53510, 51084, 50904, 53337, 51055, 63306, 64855, 53399, 67757, 53399, 52686, 50871, 50865, 54311, 51603, 53510, 51084, 64248, 52235, 58927, 53399, 50821, 64149, 63954, 53399, 60835, 54311, 50898, 63711, 63319, 52235, 56060, 77682, 53399, 51192, 63306, 54647, 51374, 52590, 51373, 63711, 66460, 53399, 52017, 57844, 50921, 50871, 62509, 51919, 50320, 50936, 54311, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 54053, 50871, 71987, 50980, 50973, 79078, 66191, 52854, 63711, 54728, 64149, 50836, 51180, 63711, 54915, 51533, 50898, 54800, 54647, 50916, 51285, 75899, 50973, 51285, 50902, 51285, 54311, 50911, 52636, 63711, 50904, 53997, 51685, 51338, 51552, 52033, 59578, 50878, 64149, 54402, 51086, 51291, 53510, 51084, 54317, 50916, 50983, 63306, 64855, 53399, 50950, 50430, 53399, 53974, 50861, 50980, 50973, 72544, 50980, 51338, 51059, 53510, 51084, 64248, 52235, 56057, 53399, 50882, 64149, 62859, 53399, 50952, 51180, 63711, 66185, 52235, 63589, 79756, 63306, 54647, 74904, 53399, 51192, 52636, 63711, 50904, 56178, 62509, 63621, 51919, 50315, 50936, 51857, 75759, 50866, 64149, 64580, 52402, 64163, 53399, 51274, 51039, 63711, 54317, 63306, 54053, 50956, 50821, 74302, 51857, 59110, 52854, 63711, 54728, 64149, 63954, 53399, 50859, 51180, 63711, 63319, 52235, 59881, 63306, 67323, 53399, 65243, 53399, 52643, 51857, 50911, 52636, 63711, 66460, 52235, 50937, 54852, 79730, 51919, 50310, 51919, 50317, 51919, 50294, 51469, 51374, 51552, 51881, 59578, 50878, 64149, 64580, 52678, 51077, 51039, 63711, 54317, 63306, 54053, 67243, 51374, 51059, 53510, 51084, 54728, 50989, 50821, 74231, 64149, 50836, 51180, 63711, 57291, 50899, 52555, 51857, 50930, 63306, 58215, 52678, 58298, 50989, 71452, 79021, 50880, 51957, 52590, 51373, 63711, 66460, 51971, 50901, 54206, 51167, 50989, 51167, 50965, 51167, 50906, 51167, 51374, 51573, 55148, 56937, 50866, 64149, 64580, 52678, 51945, 51039, 63711, 57559, 53389, 59204, 63306, 54053, 51374, 50930, 53181, 51650, 52854, 63711, 54728, 50997, 75340, 50980, 65814, 54457, 51009, 53541, 50991, 64149, 50836, 51180, 63711, 57291, 52033, 58647, 63306, 54647, 51743, 51650, 51373, 63711, 50904, 57346, 50910, 50916, 50940, 50989, 50952, 50973, 50921, 51279, 54484, 51844, 51552, 52033, 53520, 52332, 51492, 52414, 73086, 50878, 64149, 50836, 51039, 63711, 57559, 51971, 53244, 63306, 64855, 52678, 60133, 52678, 53627, 68134, 63282, 61783, 51374, 51059, 53510, 51084, 64248, 51971, 56057, 52678, 50808, 64149, 63954, 52678, 50925, 51180, 63711, 63319, 51971, 55620, 50916, 70716, 52236, 50315, 50821, 51844, 50930, 63306, 67323, 52678, 54454, 50456, 51374, 52590, 51373, 63711, 50904, 57346, 51274, 50965, 51285, 51844, 52369, 50801, 50866, 64149, 50836, 51039, 63711, 54317, 63306, 50880, 53782, 52854, 63711, 54728, 51147, 50880, 64149, 56442, 50999, 51820, 51147, 51508, 63711, 57291, 50968, 53484, 50973 ]

[ 0, 250, 15855, 30062, 620, 7085, 2125, 14, 115, 1807, 25, 10, 5386, 8, 9066, 19834, 13, 10, 822, 4, 20, 6755, 12547, 6, 20535, 2810, 6, 8, 2352, 6757, 1045, 10, 2821, 118, 3876, 2369, 6, 150, 5, 326, 5638, 18026, 8, 30062, 620, 7085, 12280, 642, 1606, 5581, 8, 18632, 4, 20, 2635, 1614, 1073, 1020, 20889, 8, 5, 25935, 1258, 227, 163, 538, 8, 12608, 3694, 40286, 5042, 7, 5, 25306, 8, 28339, 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 ]

[ 57528, 56173, 53801, 67792, 56308, 50437, 55870, 56374, 73293, 59170, 50451, 53266, 52011, 56049, 52397, 56355, 51947, 52727, 53266, 55275, 52338, 52988, 50462, 53175, 60237, 56117, 61653, 50463, 56173, 64971, 56355, 55780, 54373, 50438, 56173, 53801, 67792, 56308, 50461, 55870, 56374, 73293, 59170, 50799, 53266, 52011, 56049, 52397, 50426, 51947, 65527, 65166, 51330, 52338, 62321, 50438, 74488, 51466, 50451, 58048, 52011, 50799, 55244, 53280, 52776, 53280, 58997, 52782, 50415, 56620, 51447, 50420, 58749, 52782, 50426, 55076, 52782, 50432, 55906, 52782, 50437, 63533, 53486, 50438, 62276, 52140, 55780, 52140, 58997, 52782, 50444, 58749, 52782, 50450, 53175, 52147, 55076, 52782, 56117, 51703, 50456, 55906, 52782, 50799, 58997, 52782, 50420, 58749, 52782, 50426, 56173, 52378, 54576, 51637, 52830, 51484, 50699, 50272, 53201, 55780, 52829, 52830, 52829, 55076, 52782, 67792, 51576, 50427, 65620, 51318, 50432, 55906, 52782, 50438, 55870, 52378, 53148, 51484, 58997, 52782, 73293, 51576, 50444, 58749, 52782, 50450, 53266, 52378, 51699, 51484, 55076, 52782, 56049, 51576, 50456, 55906, 52782, 50799, 52384, 52188, 51301, 51484, 51299, 52062, 51789, 51576, 65166, 52378, 65166, 55856, 58997, 52782, 53064, 51484, 50415, 67544, 55856, 50420, 58749, 52782, 50426, 52698, 52188, 51491, 51484, 52083, 51576, 74488, 52378, 55076, 52782, 53780, 51484, 50432, 55906, 52782, 50438, 51866, 52188, 51088, 51484, 51565, 51576, 58048, 52378, 58997, 52782, 51946, 51484, 50444, 58749, 52782, 50450, 52194, 55844, 51093, 51243, 51673, 54249, 56620, 51748, 55076, 52782, 51836, 53233, 50456, 55906, 52782, 50799, 58997, 52731, 53647, 61784, 58749, 52731, 55554, 57104, 65620, 51244, 54576, 51244, 55076, 52731, 50798, 51775, 53039, 57018, 55906, 52731, 53260, 56480, 58997, 52731, 53647, 58867, 58749, 52731, 55554, 57299, 55076, 52731, 53039, 59781, 55906, 52731, 53260, 51006, 50799, 53084, 51662, 52830, 51377, 51301, 51377, 51357, 51518, 73294, 56599, 63533, 52519, 58997, 52731, 53647, 51006, 53339, 51692, 50420, 58749, 52731, 55554, 57104, 53148, 51377, 51491, 51377, 55076, 52731, 53039, 57018, 55906, 52731, 53260, 56480, 50708, 50284, 51025, 56173, 51025, 51699, 51162, 51088, 51162, 58997, 52731, 53647, 58867, 58749, 52731, 55554, 57299, 71197, 51047, 55870, 51047, 51299, 51413, 51093, 51413, 55076, 52731, 53039, 59781, 55906, 52731, 53260, 51006, 51528, 51480, 50426, 59160, 51025, 53266, 51025, 52065, 51446, 51357, 51446, 50438, 54864, 51422, 51947, 51422, 51093, 51291, 51304, 51291, 62005, 51486, 52338, 51486, 73877, 51036, 51558, 61899, 50623, 58837, 51790, 53175, 51790, 51304, 51364, 53506, 67777, 51112, 50711, 50291, 51591, 56117, 80179, 50622, 50798, 68390, 50621, 53572, 50943, 53084, 50914, 54294, 70234, 51112, 58375, 55870, 51692, 52701, 51692, 52698, 51692, 54006, 53601, 55495, 53601, 52698, 53601, 63934, 51227, 55472, 53601, 53148, 53601, 51794, 53601, 51491, 53601, 51488, 53601, 51394, 53601, 53089, 53601, 51488, 52149, 51600, 52149, 51905, 52149, 50770, 50285, 53601, 79817, 53601, 50770, 50297, 53601, 59440, 51486, 53444, 51486, 52089, 51486, 52170, 52149, 52075, 52149, 53755, 52149, 50798, 51227, 50670, 50274, 53601, 50670, 50286, 53601, 50799, 63934, 50948, 59440, 52972, 50948, 50418, 53444, 52871, 63934, 57603, 50948, 50422, 52089, 52710, 59440, 60313, 53444, 59662, 52089, 52841, 59440, 63773, 53444, 61094, 52089, 52848, 59440, 59464, 53444, 62371, 52089, 50812, 50799, 59440, 52972, 51480, 50418, 53444, 59432, 52089, 52710, 59440, 60313, 53444, 59662, 52089, 52841, 59440, 63773, 53444, 61094, 52089, 52848, 59440, 59464, 53444, 62371, 52089, 50812, 63515, 59440, 53497, 50371, 52054, 57392, 51206, 66834, 76965, 51206, 58593, 51206, 66834, 66478, 53444, 61531, 54839, 50371, 52054, 62503, 51206, 53405, 51206, 66834, 60156, 51206, 58115, 52089, 61531, 54839, 50371, 52054, 53991, 51206, 66834, 59825, 51206, 60931, 51206, 66834, 52917, 51906, 50810, 52425, 50844, 52578, 50844, 59440, 61531, 54839, 50371, 52054, 59619, 51206, 66834, 65368, 51206, 56609, 51206, 66834, 61938, 51906, 50854, 52425, 50844, 52578, 50822, 53444, 61531, 54839, 50371, 52054, 61193, 51206, 53196, 51206, 66834, 60050, 51206, 58662, 51906, 50854, 52425, 50844, 52578, 50810, 52089, 61531, 54839, 50371, 52054, 54483, 51206, 66834, 59131, 51206, 57667, 51206, 66834, 53018, 51906, 50810, 52425, 50844, 52578, 50844, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 57477, 51206, 66834, 69864, 51206, 56755, 51206, 66834, 60795, 51906, 50854, 52425, 50844, 52578, 50822, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 63938, 51206, 53325, 51206, 66834, 60479, 51206, 58394, 51906, 50854, 52425, 50844, 52578, 50810, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 54673, 51206, 66834, 61333, 51206, 57989, 51206, 66834, 52805, 51906, 50810, 52425, 50844, 52578, 50844, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 51100, 55495, 51100, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 54839, 50371, 52054, 57905, 51206, 56561, 65674, 51206, 54944, 51206, 56561, 61807, 51906, 50854, 52425, 50844, 52578, 50822, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 50917, 55495, 50917, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 53479, 50371, 52054, 60715, 51206, 53563, 51206, 56561, 63554, 51206, 61765, 51906, 50854, 52425, 50844, 52578, 50810, 52339, 50854, 52701, 50854, 52698, 50854, 52178, 50812, 54006, 50812, 55495, 50812, 51638, 50812, 51794, 50812, 51491, 50812, 65477, 51488, 50812, 51600, 61531, 53479, 50371, 52054, 56046, 51206, 56561, 65493, 51206, 50883, 50799, 56173, 51162, 53175, 51162, 52384, 51162, 54576, 51346, 51301, 50978, 51301, 50917, 51357, 50866, 51357, 50865, 51301, 51337, 51301, 51110, 52830, 51162, 52065, 51775, 52065, 51400, 52065, 51162, 51301, 68215, 50384, 55550, 50384, 53692, 55180, 51357, 50857, 51357, 50840, 51301, 50933, 51301, 59756, 53467, 63641, 51301, 50836, 51357, 50813, 51357, 52467, 53548, 56173, 50917, 54576, 51346, 55780, 66110, 50978, 51301, 50917, 51357, 50866, 51357, 50865, 52065, 51484, 52065, 51025, 51301, 51775, 51301, 51400, 50816, 67757, 52830, 59662, 55780, 52841, 56173, 50917, 54576, 51346, 52830, 50812, 52065, 50827, 52065, 50854, 73014, 51301, 50833, 51357, 50827, 51357, 50854, 52065, 51277, 52065, 51177, 51301, 51328, 51301, 73135, 50821, 50442, 55780, 50812, 51357, 50822, 51357, 50833, 52065, 50974, 52065, 50901, 51301, 50974, 51301, 56369, 60886, 52830, 50812, 52065, 50874, 52065, 50854, 51301, 50874, 51301, 50854, 51357, 50822, 51357, 55579, 51757, 56173, 50917, 54576, 51112, 55780, 50812, 52065, 50874, 52065, 50854, 51301, 50874, 51301, 50854, 51357, 50822, 51357, 50812, 52065, 51328, 52065, 51177, 51301, 51277, 51301, 70232, 62603, 52830, 50812, 51357, 50822, 51357, 50833 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 1619, 2214, 19, 3495, 16882, 6, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 13305, 6, 6755, 12547, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 38451, 3938, 20889, 9, 8060, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 230, 8, 272, 73, 250, 3639, 7, 5, 2214, 18, 32625, 13569, 9862, 6, 2351, 41, 5466, 9, 11098, 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 ]

[ 57530, 50796, 53028, 55229, 56270, 56890, 51471, 57530, 51181, 50995, 51282, 51283, 51083, 51283, 51268, 51679, 50798, 52493, 60008, 52291, 50818, 60601, 51151, 51171, 51364, 50946, 51294, 50848, 51204, 50944, 51091, 51007, 51091, 56952, 54579, 65422, 51694, 51239, 53127, 52209, 51181, 51448, 51282, 52263, 51083, 51878, 51268, 51878, 52902, 55911, 51171, 51336, 50946, 51358, 50848, 51358, 50944, 51358, 51007, 51896, 58455, 50829, 51570, 53127, 68619, 52079, 55888, 50920, 50825, 51955, 52538, 51179, 53078, 53127, 53685, 51181, 50857, 51282, 50904, 51083, 50941, 51268, 51833, 52532, 53963, 50818, 51171, 50818, 51621, 52703, 53889, 53995, 50835, 53447, 51391, 51282, 51679, 51083, 51679, 51268, 51961, 50913, 54739, 51044, 55911, 76862, 51151, 51171, 51091, 50946, 51294, 50885, 51204, 50944, 50889, 68456, 51039, 53963, 54579, 50920, 50825, 51694, 52079, 51179, 52209, 51181, 51803, 51282, 52168, 51083, 52168, 51268, 52168, 50913, 54739, 51179, 55911, 51171, 51896, 50946, 51358, 50885, 51623, 50944, 50918, 50909, 51358, 58455, 50829, 51570, 73518, 52210, 50913, 51464, 75224, 52523, 53641, 50920, 50825, 51955, 52538, 69681, 54147, 52300, 52079, 53685, 51289, 52300, 53963, 53902, 50920, 50825, 57530, 51137, 50981, 51595, 51679, 51083, 51679, 51020, 51961, 50798, 52493, 52499, 50884, 61042, 53753, 51171, 51091, 50988, 51204, 51042, 51091, 50848, 51091, 50847, 51294, 50935, 51204, 56952, 55795, 65422, 51694, 51239, 52079, 52209, 51137, 51397, 51595, 51447, 51083, 51080, 51020, 51314, 52358, 52079, 50846, 51171, 51472, 50988, 51623, 51042, 51623, 50848, 50918, 50847, 50918, 50935, 51623, 58455, 52742, 50852, 52523, 53239, 50920, 55888, 50920, 50829, 51955, 53683, 51044, 53078, 52079, 53685, 51181, 55805, 50875, 52079, 50846, 51171, 57661, 61305, 53889, 53495, 50835, 53053, 51391, 51595, 51381, 51083, 51961, 51020, 51381, 50913, 54739, 51179, 52079, 50884, 51171, 51294, 50988, 51204, 51042, 51294, 50848, 51294, 79167, 50935, 51091, 51039, 53963, 53423, 50920, 50825, 51694, 53963, 51239, 53230, 51137, 51145, 51020, 51447, 51595, 51447, 51083, 51080, 50913, 76380, 53963, 77636, 51358, 51042, 50918, 50848, 51077, 50847, 50918, 50935, 50918, 58455, 50829, 51570, 53078, 52079, 52210, 50913, 55033, 65279, 52291, 55354, 65422, 51955, 63822, 69681, 52300, 52079, 52349, 51289, 52300, 52493, 53995, 50884, 51171, 56249, 65422, 53053, 51134, 51595, 51961, 51083, 51679, 51020, 51679, 67370, 52523, 50884, 66840, 53487, 50988, 51091, 51042, 51294, 50848, 51294, 79167, 50935, 51204, 51007, 51091, 56952, 55795, 50920, 50829, 51694, 51239, 53963, 52927, 51137, 51145, 51595, 52168, 51020, 51680, 51083, 51680, 52358, 53963, 50846, 50988, 51358, 51042, 51358, 50848, 51896, 50847, 51896, 50935, 51358, 51007, 51358, 58455, 50825, 51570, 52079, 63247, 52079, 55354, 50920, 52743, 50627, 50903, 52538, 51179, 73518, 52349, 51181, 50844, 63449, 55911, 51621, 52703, 53889, 53995, 50835, 53053, 51134, 51595, 51381, 51083, 51679, 51020, 51381, 50913, 76380, 53127, 50884, 50988, 51091, 51042, 51294, 50848, 51091, 50847, 51294, 50935, 51091, 51007, 51091, 51039, 53963, 54579, 65422, 51694, 52079, 51179, 52209, 51137, 51047, 51020, 51314, 51083, 51314, 51595, 51314, 50913, 53871, 51044, 53127, 50884, 50988, 50918, 51042, 51291, 50848, 51336, 50847, 50918, 50935, 51336, 51007, 51336, 58455, 50829, 51570, 53078, 52079, 52210, 50913, 51464, 63209, 52523, 53641, 65422, 51955, 53683, 65163, 55569, 52373, 53963, 53173, 51289, 52300, 53127, 50818, 51791, 53848, 50920, 50825, 54281, 51310, 51595, 51679, 51089, 51679, 51020, 66673, 52493, 52523, 50818, 62325, 51151, 50731, 50339, 51293, 50868, 51294, 50935, 51294, 51042, 51091, 79167, 50988, 51294, 56952, 55795, 65422, 51694, 51044, 53127, 53230, 51374, 51397, 51595, 51447, 51089, 51314, 51020, 51314, 52902, 53963, 77636, 51294, 51042, 51141, 50868, 51141, 50847, 51364, 50935, 51364, 58455, 52621, 50852, 52523, 53239, 50920, 53641, 50920, 52743, 50627, 50903, 52538, 51179, 52245, 53963, 77636, 51048, 51042, 51048, 50935, 51073, 79493, 50847, 51345, 51149, 51073, 50456, 51374, 50955, 56527, 52079, 56419, 56527, 53396, 53107, 50835, 53447, 51419, 51282, 51637, 51083, 51965, 51268, 51637, 50913, 54739, 51044, 53963, 50846, 61042, 51293, 76862, 51151, 50946, 51204, 50848, 51091, 50944, 51091, 71302, 51007, 51364, 51039, 52079, 55795, 50920, 50825, 51694, 53963, 51239, 52209, 51181, 51803, 51282, 52783, 51083, 51080, 51268, 51080, 50913, 54739, 51044, 53963, 63538, 50918, 50946, 50918, 50848, 71365, 51336, 51007, 50918, 58455, 50825, 51570, 53078, 53127, 53806, 50913, 55033, 65279, 52499, 53641, 50920, 50825, 51955, 63822, 69681, 52694, 53127, 53685, 51289, 52694, 53347, 53995, 50818, 51688, 57264, 65422, 66821, 51381, 51083, 51679, 51268, 51679, 51023, 50932, 67370, 61819, 52499, 50818, 51171, 51091, 50946, 50983, 50944, 51294, 77832, 51007, 51204, 50848, 51294, 50420, 51067, 50924, 50920, 53423, 50920, 52712, 51292, 50938, 55901, 53127, 52209, 51786, 50924, 51282, 51314, 51083, 51447, 51268, 51680, 51023, 51314, 52358, 52079, 50884, 50946, 51336, 50848, 50918, 50944, 71365, 51077, 51007, 51336, 51171, 50918, 58455, 52742, 51292, 51157, 69889, 63247, 52079, 53641, 50920, 52802, 50627, 51292, 51215, 50903, 63822, 52245, 53127, 53685, 56527, 53127, 50884, 51621, 52703, 53889, 53107, 50829, 50799, 51078, 61538, 51961, 51268, 51961, 51282, 51381, 51023, 51381, 50913, 53871, 51044, 55911, 50946, 51294, 50944, 51091, 51171, 51091, 50848, 51294, 50850, 51294, 51007, 51091, 51039, 53963, 55795, 50920, 52641, 50947, 51204, 50816, 53127, 51179, 53230, 51083, 51314, 51282, 51080, 51268, 51080, 51023, 51080, 50913, 53871, 51044, 53127, 65810, 51896, 50944, 51358, 50850, 51358, 51007, 51896, 51171, 51896, 50946, 51358, 58455, 50835, 51570, 53078, 53963, 53806, 50913, 51464, 75224, 52291, 53641, 50920, 50829, 51955, 53683, 69681, 54147, 52373, 52079, 52349, 51289, 52300, 53963, 56419, 50920, 50829, 66821, 51381, 51083, 51961, 51268, 51961, 67370, 52523, 50884, 51171, 51091, 50946, 51364, 50848, 51364, 50944, 51364, 77832, 51007, 66128, 51067, 79074, 55795, 50920, 52641, 51292, 52108, 51239, 52079, 52927, 51786, 50879, 51282, 51961, 51083, 51961, 51268, 51679, 52902, 53963, 50884, 51171, 51336, 50946, 51336, 50848, 50918, 50944, 51336, 50850, 51336, 51007, 50918, 58455, 52742, 51292, 51073, 50852, 52499, 52210, 50920, 53641, 50920, 52743, 50627, 51292, 51073, 51083, 52188, 51268, 52188, 51023, 51576, 50903, 53404, 51044, 53078, 55911, 51453, 52703, 53963, 53902, 56527, 53396, 53995, 50829, 60938, 51336, 51401, 51381, 51595, 51961, 51089, 51679, 51020, 51961, 50913, 54739, 51239, 53963, 50818, 51042, 51091, 79167, 50935, 51294, 51149, 51091, 51217, 51294, 50868, 51294, 51039, 53963, 54579, 65422, 51694, 52079, 51179, 52209, 51401, 51447, 51595, 51080, 51089, 51080, 51020, 51080, 50913, 54739, 51179, 52079, 50884, 51042, 51336, 50868, 51336, 50847, 50918, 50935, 50918, 51149, 51336, 58455, 50825, 51570, 52245, 53963, 53806, 50913, 54539, 65279, 52291, 55888, 65422, 51955, 53404, 51044, 59765, 52373, 53127, 53173, 51289, 52373, 53934, 53495, 56419, 65422, 50799, 51595, 51637, 51089, 51283, 51020, 51283, 67370, 52523, 50846, 51217, 51364, 50935, 51364, 51149 ]

[ 0, 4688, 20425, 5175, 3836, 1349, 4246, 10, 38668, 483, 6, 31391, 1672, 9590, 6, 1855, 4822, 254, 483, 6, 228, 438, 4781, 2088, 6757, 6, 8, 21072, 6, 42, 15352, 30054, 15229, 16, 278, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 21234, 163, 5683, 6, 2351, 10, 11299, 8, 3366, 219, 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, 0, 0, 0, 0, 0 ]

[ 56236, 50796, 50796, 50436, 50770, 50287, 51585, 50438, 50769, 50332, 51685, 50450, 51850, 50812, 52235, 57313, 51850, 50812, 52235, 50812, 50799, 51850, 50812, 53016, 50812, 52412, 50800, 50665, 50311, 50950, 50776, 50288, 51352, 50776, 50309, 79213, 50853, 50617, 53403, 52117, 52296, 51850, 50812, 53016, 52710, 52452, 72986, 52412, 54773, 67823, 53247, 52117, 51757, 52452, 51754, 52696, 50859, 50799, 52412, 50800, 50665, 50309, 51835, 52117, 51620, 52452, 57907, 52412, 60835, 52117, 51757, 51850, 50812, 52235, 50812, 52452, 51754, 51850, 50836, 52235, 50812, 52174, 50952, 50799, 51850, 50812, 53016, 50812, 52276, 50800, 50665, 50311, 58609, 52696, 58218, 51850, 50812, 53016, 52710, 52452, 62803, 52276, 54630, 52696, 54721, 52452, 51754, 52117, 57614, 53727, 51100, 50799, 52412, 50859, 66509, 55446, 52696, 57257, 53085, 64131, 52452, 72068, 52235, 59662, 51992, 56788, 52412, 54773, 51850, 51110, 66346, 55920, 52696, 58710, 51850, 50840, 52235, 50812, 52452, 51754, 51850, 50836, 52235, 50812, 52174, 50830, 50799, 51850, 50812, 53016, 50812, 52412, 50800, 50665, 50311, 50962, 50776, 50288, 51352, 50776, 50309, 79213, 50853, 50617, 53403, 52117, 52296, 51850, 50812, 53016, 52710, 52452, 72986, 52412, 54773, 67823, 55920, 52117, 51757, 52452, 51754, 52696, 50859, 50799, 52412, 50800, 50665, 50309, 52628, 52117, 51620, 52452, 57907, 52412, 60835, 52117, 51757, 53016, 50897, 52452, 51754, 51992, 50812, 52174, 50952, 50799, 53085, 50917, 52276, 50800, 50665, 50311, 57242, 52696, 58218, 53016, 53466, 52452, 54725, 53085, 51100, 50435, 52276, 67007, 53016, 53969, 52696, 54721, 53085, 50849, 52452, 51754, 52117, 52567, 53016, 50849, 50799, 52412, 50859, 66509, 53113, 53085, 51100, 52696, 51620, 52452, 63395, 53016, 71148, 52412, 54773, 53085, 50849, 66346, 57736, 52696, 50952, 50447, 53016, 65114, 52452, 51754, 52174, 50830, 53053, 50800, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 52218, 67417, 50384, 53967, 50835, 54379, 50932, 53853, 52727, 52789, 52727, 51921, 50829, 54379, 56123, 53853, 53700, 52789, 53700, 50420, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51872, 50835, 72946, 54311, 51215, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 50924, 58144, 51539, 52270, 50384, 53967, 50820, 77610, 50852, 51877, 54606, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 54054, 52742, 50734, 50275, 50864, 50734, 50287, 63464, 67417, 71460, 50835, 55288, 51775, 50441, 51137, 50887, 50734, 50275, 50825, 50734, 50287, 52497, 50837, 55288, 61211, 50444, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51877, 54028, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 59105, 53003, 54311, 50859, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 52218, 52050, 51539, 51872, 50384, 53967, 53922, 50734, 50275, 50864, 50734, 50287, 59105, 52920, 54311, 50859, 52696, 55879, 51872, 54794, 50734, 50275, 50864, 50734, 50287, 59105, 50834, 53053, 50887, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 52218, 67417, 50384, 53967, 50835, 53853, 50841, 52789, 50846, 54775, 50967, 51921, 50829, 53853, 50908, 52789, 50863, 54775, 51797, 50420, 51137, 50887, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51872, 50835, 72946, 54311, 51158, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 55236, 52050, 51539, 52270, 50384, 53967, 50820, 53853, 50839, 52789, 50862, 54775, 50855, 51999, 50825, 53853, 50908, 53853, 50886, 52789, 51126, 52789, 50855, 54775, 51126, 54775, 54215, 50852, 51877, 50834, 53853, 51851, 52789, 51000, 54775, 66129, 51137, 50887, 50734, 50275, 50864, 50734, 50287, 51126, 52412, 62341, 50825, 53853, 50855, 52789, 50855, 54775, 53894, 50734, 50275, 50864, 50734, 50287, 63464, 67417, 71460, 50835, 53853, 51126, 52789, 51126, 54775, 74593, 51137, 50809, 50734, 50275, 50864, 50734, 50287, 59105, 50837, 53853, 50836, 52789, 50836, 54775, 54840, 50734, 50275, 50864, 50734, 50287, 51126, 52117, 52227, 51877, 50820, 53853, 50971, 52789, 50971, 54775, 66701, 51137, 50840, 50734, 50275, 50864, 50734, 50287, 59105, 50870, 53853, 50820, 52789, 50813, 54775, 53886, 54311, 50800, 50734, 50275, 50864, 50734, 50287, 51126, 52452, 52218, 52050, 51539, 51872, 50384, 53967, 50820, 53853, 50928, 53853, 50836, 52789, 51128, 52789, 50836, 54775, 50971, 54775, 58629, 50734, 50275, 50864, 50734, 50287, 59105, 50834, 53853, 50971, 53853, 50941, 52789, 51000, 52789, 50971, 54775, 50904, 54775, 54232, 54311, 50859, 52174, 58474, 51872, 50829, 53853, 54060, 52789, 55003, 54775, 52514, 50459, 50734, 50275, 50864, 50734, 50287, 59105, 50834, 54983, 50809, 50734, 50278, 50864, 50734, 50290, 51126, 52276, 52218, 67417, 50384, 53967, 50835, 53853, 50821, 52789, 50800, 54379, 50859, 51921, 50829, 53853, 50874, 52789, 50851, 54379, 53004, 51526, 50800, 50734, 50278, 50864, 50734, 50290, 51126, 52696, 55220, 51872, 50835, 53853, 50800, 52789, 50859, 54379, 50800, 52111, 50863, 53853, 50851, 52789, 50827, 54379, 53220, 51727, 51060, 50734, 50278, 50864, 50734, 50290, 51126, 52452, 55955, 52050, 51539, 52270, 50384, 53967, 50820, 53853, 50865, 52789, 50924, 54379, 50948, 51999, 50825, 53853, 51174, 52789, 51006, 54379, 62050, 50852, 51877, 54606, 51526, 50809, 50734, 50278, 50864, 50734, 50290, 51126, 52276, 57005, 52742, 50734, 50278, 50864, 50734, 50290, 63464, 67417, 71460, 50835, 53853, 50863, 52789, 50837, 54379, 54905, 51526, 50887, 50734, 50278, 50864, 50734, 50290, 59105, 50837, 53853, 51693, 52789, 51306, 54379, 51258, 53853, 50904, 52789, 51000, 54379, 55368, 50734, 50278, 50864, 50734, 50290, 51126, 52696, 55879, 51877, 50820, 53853, 52514, 52789, 55003, 54379, 52514, 50447, 51526, 50809, 50734, 50278, 50864, 50734, 50290, 59105, 50870, 53853, 50982, 54379, 52805, 51727, 50859, 50734, 50278, 50864, 50734, 50290, 51126, 52452, 52218, 52050, 51539, 51872, 50384, 53967, 50820, 53853, 52231, 54379, 51693, 53853, 50886, 52789, 50813, 54379, 57186, 50734, 50278, 50864, 50734, 50290, 59105, 50834, 53853, 52134, 52789, 51297, 54379, 69249, 51727, 50859, 52117, 52227, 51872, 50829, 53853, 50857, 52789, 50813, 54379, 57023, 50734, 50278, 50864, 50734, 50290, 59105, 50834, 53853, 51297, 52789, 51297, 54379, 51126, 54920, 50800, 50734, 50280, 50864, 50734, 50292, 51126, 52412, 53841, 67417, 50384, 53967, 50835, 53676, 50880, 54379, 50887, 59785, 50809, 51921, 50829, 53676, 50886, 54379, 50864, 59785, 55772, 51416, 50800, 50734, 50280, 50864, 50734, 50292, 51126, 52696, 52227, 51872, 50835, 53676, 50800, 54379, 50808, 59785, 50858, 52111, 50863, 53676, 50851, 54379, 50912, 59785, 53881, 51338, 50879, 50734, 50280, 50864, 50734, 50292, 51126, 52452, 55236, 52050, 51539, 52270, 50384, 53967, 50820, 54379, 51079, 53676, 51277, 59785, 51277, 51999, 50825, 54379, 53306, 53676, 60150, 59785, 58961, 50432, 50852, 51877, 54606, 51416, 50809, 50734, 50280, 50864, 50734, 50292, 51126, 52412, 54054, 52742, 50734, 50280, 50864, 50734, 50292, 63464, 67417, 71460, 50835, 53676, 50928, 54379, 50870, 59785, 61577, 51416, 50859, 50734, 50280, 50825, 50734, 50292, 52497, 50837, 53676, 52231, 54379, 52445, 59785, 52231, 53676, 50941, 54379, 50864, 59785, 55434, 50734, 50280, 50864, 50734, 50292, 51126, 52696, 58474, 51877, 50820, 53676, 54060, 54379 ]

[ 0, 250, 20902, 3152, 8, 3495, 24904, 2214, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 7219, 29589, 6, 258, 2382, 8, 30587, 6, 483, 5, 169, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 4, 20, 6755, 12547, 3639, 41, 1823, 10490, 9, 38857, 7, 5, 2369, 4, 8504, 11, 5, 762, 9, 211, 3694, 19, 10, 1769, 20889, 9, 23902, 13410, 228, 2289, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50415, 50636, 75695, 51322, 51006, 51209, 50977, 51408, 50924, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 51237, 56965, 50839, 51083, 51175, 51020, 51603, 51193, 51454, 75060, 58400, 56512, 52000, 51277, 51401, 53505, 51830, 51370, 51129, 50436, 51322, 50921, 51322, 50977, 51083, 56360, 51209, 50859, 51209, 64753, 62281, 51408, 50817, 51408, 50817, 51193, 70487, 53215, 57000, 55294, 50895, 51322, 51254, 51322, 50917, 51209, 50987, 51209, 50865, 51408, 50917, 51408, 50795, 56965, 50835, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51322, 50893, 55294, 51745, 51408, 51183, 51322, 51447, 51209, 51145, 56965, 50839, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 58892, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51258, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 56493, 55294, 50895, 51322, 50937, 51209, 50948, 51408, 50948, 56965, 50835, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 50428, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 56720, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51258, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 64707, 53215, 57000, 55294, 50883, 51322, 50812, 69787, 51408, 50800, 56965, 50829, 51083, 68054, 71637, 52513, 50801, 56502, 64125, 51256, 50860, 51256, 50860, 51229, 50860, 54941, 50802, 51451, 50923, 62747, 50841, 51061, 51021, 51023, 51021, 51118, 50893, 52455, 58892, 51229, 50828, 51322, 50811, 56352, 51014, 67059, 77356, 63218, 62194, 56249, 51451, 50828, 51256, 53708, 50837, 51601, 51256, 51045, 50416, 51451, 51021, 51256, 50860, 51229, 50860, 54941, 50976, 62747, 70171, 51021, 51061, 50860, 51023, 50860, 52093, 53215, 58158, 51322, 61135, 51451, 50841, 51256, 50895, 51229, 50890, 51118, 50833, 51061, 72799, 55884, 50852, 58245, 51209, 51184, 50428, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 51237, 56965, 50839, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 50367, 51367, 50363, 51202, 56512, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50890, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50835, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51322, 50893, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 57461, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51129, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 56493, 55294, 50884, 51322, 50937, 51209, 50948, 51408, 50948, 56965, 50825, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 50428, 51830, 50795, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 56720, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51258, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50887, 51322, 50917, 51209, 50865, 51408, 50865, 56965, 50825, 72320, 51020, 50865, 51193, 53658, 51830, 58493, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51830, 50795, 51322, 50893, 55294, 51066, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 57461, 51408, 50917, 51322, 64260, 50865, 51020, 50865, 51193, 64959, 51830, 50878, 51322, 50917, 51209, 57383, 50835, 51809, 51830, 50895, 51322, 50949, 51209, 50817, 51408, 50817, 54941, 51012, 51256, 50893, 62747, 50839, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 56493, 51830, 50865, 51322, 50937, 51209, 50948, 51408, 50948, 56352, 50923, 51209, 51352, 67059, 50820, 72755, 51020, 50948, 51193, 50948, 61640, 56502, 68564, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 58278, 50361, 51202, 56512, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50930, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50834, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51408, 51021, 51322, 50893, 55294, 51059, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 57461, 51322, 50936, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51258, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 64707, 53215, 56493, 55294, 50883, 51322, 50937, 51209, 50948, 51408, 50948, 51209, 52195, 56965, 50829, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 50428, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 51059, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 56720, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50883, 51209, 51010, 51322, 50812, 69787, 51408, 50800, 56965, 50829, 51083, 68054, 71637, 52513, 50801, 52465, 51306, 50449, 51408, 51014, 50452, 51390, 50940, 54941, 50860, 51256, 50860, 51229, 50860, 51451, 50923, 62747, 50841, 51061, 51021, 51023, 51021, 51118, 50893, 52455, 58892, 51229, 50828, 56352, 51014, 67059, 77356, 63218, 62194, 56249, 51451, 50828, 51256, 53708, 56772, 51893, 50802, 51809, 51451, 51021, 51256, 50860, 51229, 50860, 54941, 50976, 62747, 70171, 51021, 51061, 50860, 51023, 50860, 52093, 53215, 56493, 51451, 50841, 51256, 50895, 51229, 50890, 51390, 50923, 51118, 50833, 51061, 72799, 55884, 50852, 70573, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 51408, 51745, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 53237, 67152, 51258, 50434, 71830, 51020, 50865, 51193, 62803, 51830, 51370, 51129, 50436, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 70487, 53215, 57000, 55294, 50883, 51408, 50949, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50829, 72320, 51020, 50865, 51193, 53658, 50801, 52465, 51129, 50452, 51209, 51021, 51229, 50860, 51408, 51021, 51322, 50893, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 52455, 59169, 51408, 50911, 50458, 51408, 50865, 71830, 51020, 50865, 51193, 64959, 51322, 50865, 51209, 53710, 51258, 51809, 51322, 50949, 51209, 50817, 51408, 50817, 61038, 51083, 50949, 51020, 50817, 51193, 51759, 50825, 53215, 56493, 55294, 50890, 51322, 50937, 51209, 50948, 51408, 50948, 51209, 51352, 56965, 50835, 72755, 51020, 50948, 51193, 50948, 61640, 52465, 51129, 53215, 59045, 53215, 68564, 51322, 51175, 51209, 51603, 51408, 51454, 55294, 50824, 56965, 50841, 51020, 51021, 51193, 51021, 51083, 50893, 69443, 50825, 53215, 58608, 71830, 51020, 50865, 51193, 62803, 51830, 50795, 53215, 59990, 51322, 56360, 51209, 62281, 51408, 50817, 51083, 50949, 51020, 50817, 51193, 51695, 50825, 53215, 60862, 53215, 55685, 55294, 50890, 51322, 50917, 51209, 50865, 51408, 50795, 56965, 50835, 72320, 51020, 50865 ]

[ 0, 713, 14899, 3495, 2214, 6, 30291, 19, 5175, 4785, 6, 22750, 1626, 11098, 8, 10, 2365, 6, 1619, 16464, 4, 20, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 1305, 5, 33301, 556, 6, 25, 5, 6755, 12547, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 20535, 2810, 6, 21979, 8669, 6, 8, 21072, 1045, 10, 4066, 5797, 990, 1506, 9, 2369, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2125, 1575, 10, 16331, 33215, 16739, 9, 211, 119, 406, 6, 272, 406, 6, 8, 230, 6, 1271, 7, 63, 33200, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50450, 51683, 51235, 51913, 77587, 53875, 52425, 51100, 54820, 51004, 58470, 61969, 64852, 50799, 51906, 50930, 51648, 52218, 50898, 53498, 56198, 53246, 50828, 50953, 51215, 52495, 51145, 52239, 51677, 52681, 51452, 58816, 50872, 68970, 50825, 51165, 51933, 51402, 52922, 50820, 58816, 50872, 68970, 52944, 51648, 50887, 51713, 50836, 65683, 53246, 54104, 51906, 50840, 51648, 51420, 56128, 53246, 50837, 58816, 50872, 68970, 53272, 56331, 59719, 53246, 50828, 50964, 51215, 58816, 59228, 50939, 54974, 51648, 50840, 51713, 55316, 53589, 53246, 50820, 58816, 59228, 50939, 50825, 51361, 56494, 53246, 54288, 51906, 50887, 51648, 50880, 70707, 53246, 63570, 50825, 59228, 50939, 53945, 51479, 56459, 53246, 50828, 50953, 51215, 53022, 51412, 51572, 53589, 53246, 50820, 69091, 50868, 61483, 75164, 54274, 50829, 51618, 56128, 53246, 50837, 51037, 62294, 61483, 52743, 51963, 51100, 51683, 68138, 51928, 60512, 53246, 50828, 50964, 51215, 52681, 51480, 52822, 51412, 53022, 51203, 69091, 63246, 60697, 51088, 50901, 51647, 53589, 53246, 50820, 69091, 50868, 61483, 53217, 52489, 51178, 52425, 51043, 51441, 51117, 53246, 50829, 69091, 63246, 50992, 50825, 51375, 63007, 70707, 53246, 50837, 51037, 62294, 50864, 50992, 50825, 50799, 51913, 50836, 51648, 53345, 50898, 56459, 53246, 50828, 50945, 51215, 52822, 53486, 52495, 51675, 52248, 51790, 52706, 51803, 62374, 59228, 50850, 50825, 51113, 51933, 51402, 52922, 50820, 62374, 50872, 62703, 52944, 51683, 50836, 51713, 50855, 65683, 53246, 54104, 51913, 50857, 51648, 50836, 75507, 53246, 65622, 50825, 59228, 50850, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 62374, 59228, 50850, 54974, 51683, 50809, 51713, 52675, 53589, 53246, 50820, 62374, 50872, 62703, 50825, 51361, 56494, 53246, 54288, 51913, 50840, 51648, 50890, 70707, 53246, 65622, 67861, 62703, 52742, 51479, 56459, 53246, 50828, 50945, 51215, 51572, 53589, 53246, 50820, 62374, 50872, 62703, 75164, 54274, 50829, 51618, 56128, 53246, 65622, 67861, 62703, 52743, 51683, 51175, 51913, 59250, 51928, 60512, 53246, 50828, 50964, 51215, 52706, 51172, 52495, 51412, 52248, 51363, 52822, 52460, 74311, 58816, 50872, 50825, 51647, 53589, 53246, 73615, 61215, 67861, 53217, 52425, 51194, 51441, 51117, 53246, 66352, 61215, 67861, 54026, 70707, 53246, 50837, 50946, 61215, 67861, 50825, 50799, 51906, 50840, 51648, 53530, 50898, 56459, 53246, 50828, 50953, 51215, 52706, 51749, 52495, 51448, 52681, 51535, 52239, 51749, 50848, 67861, 68970, 50825, 51165, 51077, 51402, 52922, 61585, 67861, 68970, 52944, 51648, 50809, 51713, 50855, 65683, 53246, 54104, 51906, 50836, 51648, 50840, 75507, 53246, 63570, 50825, 59228, 50939, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 58816, 50872, 68970, 54974, 51648, 50855, 51713, 52304, 53589, 53246, 50820, 58816, 50872, 68970, 50864, 51361, 56494, 53246, 54288, 51713, 51603, 52002, 51112, 70707, 53246, 63570, 50825, 59228, 50939, 52742, 51479, 56459, 53246, 50828, 50953, 51215, 52822, 51535, 53022, 51397, 52239, 51627, 52269, 51448, 51093, 50914, 51572, 53589, 53246, 50820, 69091, 50868, 61483, 53114, 51776, 50857, 51888, 50859, 59340, 50829, 51618, 56128, 53246, 50837, 51037, 62294, 50864, 50847, 52743, 51683, 50809, 51888, 52773, 51928, 60512, 53246, 50828, 50964, 51215, 69091, 50868, 61483, 50825, 70809, 51647, 53589, 53246, 50820, 69091, 50868, 61483, 53217, 51906, 50809, 51648, 50857, 51441, 51117, 53246, 50829, 51037, 62294, 50864, 50992, 54026, 51913, 51933, 51683, 51161, 70707, 53246, 50837, 51037, 62294, 65920, 50825, 65703, 56459, 53246, 50828, 50945, 51215, 52822, 51680, 52706, 52015, 52495, 51452, 52248, 51803, 62374, 50872, 62703, 50825, 51113, 51518, 51402, 52922, 50820, 62374, 59228, 72361, 51039, 56455, 53246, 50829, 51510, 56128, 53246, 65622, 67861, 62703, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 62374, 50872, 62703, 50864, 51532, 53589, 53246, 64202, 50825, 59228, 50850, 50825, 51361, 56494, 53246, 54288, 70707, 53246, 65622, 67861, 62703, 53945, 51479, 56459, 53246, 50828, 50945, 51215, 53012, 59719, 53246, 64202, 67861, 62703, 53114, 51070, 54368, 51224, 55549, 53246, 65622, 67861, 62703, 52743, 51683, 51175, 51913, 58307, 57167, 55549, 53246, 50828, 50964, 51215, 52822, 51709, 52706, 51253, 52495, 51480, 52248, 51400, 50946, 61215, 67861, 54781, 51326, 55549, 53246, 73615, 61215, 67861, 53217, 52425, 67513, 62131, 53246, 66352, 50864, 58816, 59228, 54820, 51004, 58470, 60238, 53246, 50837, 50946, 50825, 58816, 50872, 56834, 64852, 50799, 51906, 50930, 51648, 53345, 50898, 56315, 55892, 56198, 53246, 50828, 50953, 51215, 52495, 51145, 52239, 51677, 52681, 51422, 50848, 67861, 68970, 50825, 51165, 51933, 51402, 52922, 61585, 67861, 68970, 54202, 51648, 50887, 51713, 51421, 56455, 53246, 54104, 51906, 50840, 51648, 50887, 75507, 53246, 50837, 58816, 59228, 50939, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 58816, 59228, 50939, 56789, 51648, 50809, 51713, 52675, 53589, 53246, 61585, 67861, 68970, 50825, 51361, 56494, 53246, 54288, 51906, 50887, 51648, 50887, 70707, 53246, 63570, 50825, 59228, 50939, 52742, 51479, 56459, 53246, 50828, 50953, 51215, 53022, 51363, 51572, 53589, 53246, 50820, 51037, 62294, 50864, 50847, 75164, 54274, 50829, 51618, 56128, 53246, 50837, 51037, 62294, 61483, 52743, 51963, 51121, 51683, 68138, 51928, 60512, 53246, 50828, 50964, 51215, 52822, 51363, 53022, 51221, 52681, 51534, 69091, 63246, 60697, 51088, 51121, 51647, 53589, 53246, 50820, 51037, 62294, 50864, 50847, 54232, 52489, 51110, 52425, 51194, 51441, 51117, 53246, 50829, 51037, 62294, 50864, 50992, 50825, 51375, 63007, 70707, 53246, 50837, 69091, 50868, 65920, 50825, 50799, 51913, 50840, 51648, 53345, 50898, 56459, 53246, 50828, 50945, 51215, 52822, 54573, 52706, 52015, 52495, 51742, 52248, 51677, 62374, 50872, 62703, 50825, 51113, 51518, 51402, 52922, 64202, 67861, 62703, 52944, 51683, 50840, 51713, 50836, 65683, 53246, 54104, 51913, 50855, 51648, 50840, 75507, 53246, 50837, 62374, 50872, 62703, 52641, 56331, 59719, 53246, 50828, 50964, 51215, 62374, 59228, 50850, 56789, 51683, 50809, 51713, 52675, 53589, 53246, 64202, 67861, 62703, 50825, 51361, 56494, 53246, 54288, 51913, 50836, 51648, 50858, 70707, 53246, 65622, 50825, 59228, 50850, 52742, 51479, 56459, 53246, 50828, 50945, 51215, 51572, 53589, 53246, 64202, 50825, 59228, 50850, 75164, 54274, 50829, 51618, 56128, 53246, 65622, 67861, 62703, 52743, 51683, 51167, 51913, 58307, 51928, 60512, 53246, 50828, 50964, 51215, 52822, 51852, 52706, 52034, 52495, 51203, 52248, 51363, 74311, 58816, 50872, 50825, 51647, 53589, 53246, 73615, 50825, 58816, 50872, 53217, 52425, 50901, 51441, 51117, 53246, 66352, 61215, 67861, 54026, 70707, 53246, 50837, 74311, 50848, 67861, 50825, 50799, 51906, 50818, 51648, 53345, 50898, 56459, 53246, 50828, 50953, 51215, 52706, 51448, 52495, 51448, 52239, 51535, 52681, 51448, 50848, 67861, 68970, 50825, 51165, 50918, 51402, 52922, 61585, 50825, 59228, 50939, 52944, 51648, 50840, 51713, 50855, 65683, 55144, 64274, 54104, 51906, 50862, 51648, 50840, 75507, 64274, 63570, 67861, 68970, 52641, 56331, 59719, 50932, 51070, 50828, 50964, 51215, 50848, 67861, 68970, 54974, 51648, 50836, 51713, 52207, 52922, 61585, 50825, 59228, 50939, 50825, 51361 ]

[ 0, 250, 182, 1769, 12, 20764, 5175, 2214, 11, 381, 3694, 6, 4246, 10, 13305, 14, 1974, 20425, 34879, 6, 2351, 41, 9066, 8, 25306, 5466, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 29769, 198, 5, 40286, 163, 8, 230, 6, 61, 7230, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 71691, 51799, 51080, 51120, 51145, 51147, 58172, 50931, 53004, 50968, 53591, 50931, 52580, 51147, 58519, 50931, 52739, 50968, 53720, 50931, 52788, 52046, 51314, 51197, 51145, 51147, 58666, 50931, 53086, 50968, 54043, 50931, 52989, 51147, 59835, 50931, 53176, 50968, 54529, 59715, 60963, 51080, 51315, 51145, 51147, 58172, 50931, 53004, 50968, 53591, 50931, 52580, 51147, 58519, 50931, 52739, 50968, 53720, 50931, 52788, 51247, 51314, 51050, 51145, 51147, 58666, 50931, 53086, 50968, 54043, 50931, 52989, 51147, 59835, 50931, 53176, 50968, 54529, 59715, 58066, 51644, 50303, 65377, 61306, 60726, 51279, 52688, 51324, 55544, 51085, 51517, 50303, 75675, 78502, 56391, 51324, 52985, 51279, 51712, 50303, 68186, 68470, 62214, 51085, 50838, 58066, 55126, 51279, 51260, 50303, 75675, 78502, 54335, 51324, 55544, 51085, 54498, 50871, 65186, 61341, 59242, 51324, 52985, 51279, 61528, 64636, 65186, 58843, 51085, 50838, 58066, 51644, 50303, 65377, 61306, 60115, 51279, 52688, 51324, 55544, 51085, 77149, 75675, 78502, 78239, 51120, 61284, 51085, 72379, 51324, 52985, 51279, 51712, 50303, 68186, 68470, 62214, 51085, 50838, 58066, 55126, 51279, 51260, 50303, 75675, 78502, 54335, 51324, 55544, 51085, 54498, 51027, 73790, 64636, 59242, 51324, 52985, 51279, 61528, 64636, 65186, 58843, 51085, 50838, 58066, 66228, 62722, 51517, 50324, 60115, 51279, 52688, 51324, 55544, 51085, 65523, 71509, 52104, 50324, 78239, 51120, 61284, 51085, 72379, 51324, 52985, 51279, 64535, 74827, 52026, 50324, 62214, 51085, 50838, 58066, 55126, 51279, 61418, 71509, 52104, 50324, 54335, 51324, 55544, 51085, 54498, 50931, 79665, 52026, 50328, 59242, 51324, 52985, 51279, 58722, 67120, 79665, 58843, 51085, 50838, 58066, 66228, 62722, 51517, 50324, 60115, 51279, 52688, 51324, 55544, 51085, 70713, 71509, 52104, 50324, 56391, 51324, 52985, 51279, 64535, 74827, 52026, 50324, 62214, 51085, 50838, 58066, 55126, 51279, 61418, 71509, 52104, 50324, 54335, 51324, 55544, 51085, 54498, 50877, 67889, 67120, 59242, 51324, 52985, 51279, 58722, 67120, 79665, 58843, 51085, 50838, 71691, 51841, 65632, 51283, 50973, 79311, 51315, 52688, 51841, 55544, 51315, 61418, 51965, 50968, 51318, 50438, 51841, 56391, 51315, 52985, 51841, 58887, 66918, 54509, 51315, 61418, 71509, 50905, 54734, 58363, 51283, 50931, 51310, 60284, 52688, 51247, 55544, 51050, 57643, 52454, 50325, 56656, 51247, 56391, 51050, 58903, 72895, 54323, 51247, 63785, 66257, 54509, 51050, 57643, 52104, 50325, 50905, 60963, 66386, 51283, 51147, 79311, 51315, 52688, 51841, 55544, 51315, 61418, 51965, 50968, 51318, 50438, 51841, 56391, 51315, 52985, 51841, 64535, 59835, 51114, 53176, 51315, 60472, 50838, 60963, 51644, 50324, 78377, 51315, 52688, 51841, 55544, 51315, 58903, 51680, 50438, 51841, 56391, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 65632, 51283, 50973, 79311, 51315, 52688, 51841, 55544, 51315, 61418, 51965, 50968, 51318, 50438, 51841, 56391, 51315, 52985, 51841, 58887, 66918, 54509, 51315, 61418, 71509, 50905, 54734, 58363, 51283, 50931, 51310, 60284, 52688, 51247, 55544, 51050, 57643, 52454, 50325, 56656, 51247, 56391, 51050, 58903, 72895, 54323, 51247, 63785, 66257, 54509, 51050, 57643, 52104, 50325, 50905, 60963, 66386, 51283, 51147, 79311, 51315, 52688, 51841, 55544, 51315, 65505, 52783, 51220, 51803, 50438, 51841, 56391, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 51644, 50324, 78377, 51315, 52688, 51841, 55544, 51315, 74984, 64025, 51841, 56391, 51315, 52985, 51841, 64535, 52026, 50327, 58843, 51315, 50838, 54734, 58363, 51172, 51062, 51363, 60284, 56909, 50973, 51852, 51220, 51412, 50426, 51247, 55544, 51050, 56943, 51852, 50999, 51412, 50438, 51247, 68861, 50871, 51671, 50931, 51313, 50444, 51050, 52985, 51247, 56711, 51050, 50838, 54734, 55126, 51050, 52688, 51247, 55544, 51050, 52718, 51247, 56391, 51050, 56943, 51965, 50999, 72269, 51247, 56711, 51050, 50838, 60963, 65632, 51172, 51147, 51363, 50420, 51315, 56909, 50877, 51852, 50999, 51412, 50426, 51841, 55544, 51315, 61418, 51852, 51220, 51412, 50438, 51841, 68861, 50973, 55844, 51220, 54143, 50444, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 55126, 51315, 52688, 51841, 55544, 51315, 52718, 51841, 56391, 51315, 52985, 51841, 64535, 52026, 50327, 58843, 51315, 50838, 54734, 58363, 51309, 51062, 51233, 60284, 67132, 50973, 51797, 51220, 51337, 50426, 51247, 50974, 50430, 50877, 51753, 50999, 75359, 51050, 52718, 51247, 59704, 51481, 50931, 51233, 50444, 51050, 69262, 50916, 51753, 50968, 75926, 51247, 50974, 50454, 50899, 51753, 50902, 51337, 50456, 51050, 50838, 54734, 59023, 51309, 50999, 51233, 60284, 50838, 64309, 51797, 50951, 51337, 50426, 51247, 50974, 74413, 51753, 50931, 75359, 51050, 52718, 51247, 63785, 51328, 50999, 79098, 51050, 69262, 50968, 66809, 51247, 50974, 50454, 50931, 66983, 51050, 50838, 60963, 65632, 51309, 51147, 51233, 50420, 51315, 67132, 50877, 51797, 50999, 51337, 50426, 51841, 50974, 50430, 50973, 51797, 51220, 75359, 51315, 52718, 51841, 64535, 53849, 51220, 53413, 50444, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 55126, 51315, 52688, 51841, 55544, 51315, 52718, 51841, 56391, 51315, 52985, 51841, 56711, 51315, 50838, 60963, 51517, 50291, 51517, 50296, 50995, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 60963, 51517, 50291, 51517, 50296, 50981, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 60963, 51517, 50291, 51517, 50296, 50981, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 60963, 51517, 50291, 51517, 50296, 50981, 56440, 71509, 54335, 51841, 51853, 50291, 51853, 50296, 54342, 51247, 51965, 51085, 51965, 51050, 51318, 50871, 51965, 50931, 72269, 51247, 52026, 50292, 52026, 50297, 60367, 66257, 54509, 50899, 73585, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 66784, 51853, 50324, 54509, 50871, 75598, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 66784, 51853, 50324, 54509, 50871, 75598, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 66784, 51853, 50324, 54509, 50871, 75598, 50905, 54795, 51517, 50294, 71169, 50981, 55902, 72895, 54335, 51214, 51853, 50294, 51853, 50299, 54342, 51503, 51965, 51197, 51965, 51176, 51318, 50965, 51965, 51147, 72269, 51503, 52026, 50295, 52026, 50300, 69136, 51853, 50324, 54509, 50871, 75598, 50905, 58066, 55126, 51279, 52688, 51324, 55544 ]

[ 0, 4688, 20425, 5175, 3836, 2214, 4246, 10, 6755, 12547, 6, 3152, 6757, 6, 17465, 102, 6, 38668, 9590, 6, 8, 21072, 4, 8504, 11, 272, 3694, 19, 10, 1769, 20889, 6, 5, 33301, 16, 3185, 30, 10, 16331, 33215, 16739, 9, 272, 119, 6, 163, 428, 6, 230, 119, 6, 163, 428, 6, 8, 230, 119, 406, 4, 20, 1349, 7630, 6568, 10, 3366, 219, 5466, 150, 6780, 10, 670, 41063, 15796, 2621, 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 ]

[ 56236, 50796, 65095, 68581, 53793, 50801, 68581, 50809, 51755, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 78594, 51068, 55589, 55168, 66866, 50801, 51730, 54092, 54092, 53984, 51045, 51289, 71188, 74219, 50851, 51361, 55168, 51556, 50851, 51658, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 51572, 54478, 51068, 55589, 55168, 75857, 50801, 52218, 54092, 54092, 53984, 51045, 51289, 71188, 73165, 50851, 51453, 52227, 58701, 62230, 53793, 66151, 62230, 50809, 51755, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 78594, 51068, 55589, 55168, 66866, 50801, 52218, 54092, 54092, 53984, 65383, 71188, 54056, 51068, 51045, 52066, 51361, 51049, 54112, 51068, 51010, 52066, 51658, 52218, 56823, 51045, 51289, 51594, 51049, 56854, 62230, 50809, 51572, 54478, 51068, 55589, 55168, 75857, 50801, 52218, 54092, 54092, 53984, 65383, 71188, 73165, 57546, 50456, 55520, 50809, 51093, 50809, 51683, 52467, 51420, 68692, 56854, 62230, 53793, 55749, 50809, 69401, 51648, 51421, 50851, 66151, 62230, 50809, 50799, 61716, 50830, 55520, 51358, 51395, 72069, 51358, 51093, 51358, 52401, 51173, 52099, 50830, 51935, 56766, 71188, 52628, 58072, 50830, 51182, 50830, 52042, 50808, 51776, 55220, 52921, 56846, 50830, 51201, 50830, 52401, 51173, 51713, 50830, 70864, 56055, 71188, 52359, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 50830, 68773, 55749, 50830, 51107, 50830, 52401, 50940, 51648, 50830, 51935, 56766, 71188, 54790, 52042, 54400, 58072, 50830, 51182, 50830, 51776, 50830, 52068, 50447, 52042, 52843, 55520, 50830, 71722, 52401, 51173, 51683, 50830, 70864, 56055, 71188, 52485, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 53661, 64133, 50799, 55184, 51047, 57294, 51047, 55938, 51047, 57778, 51047, 57778, 51358, 51299, 51047, 51426, 51047, 74973, 51165, 51047, 52401, 51158, 52970, 50918, 51906, 50918, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 52401, 51158, 70864, 56055, 71188, 52359, 52042, 50952, 68773, 52401, 50924, 70864, 67614, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 52401, 51060, 70864, 56055, 71188, 52485, 55520, 50809, 51093, 50809, 52042, 50859, 51683, 52467, 55603, 58701, 62230, 53793, 55749, 50809, 69401, 51648, 52467, 54772, 62230, 50809, 50799, 61716, 50830, 58002, 51358, 51395, 72069, 51358, 51093, 51358, 52401, 51173, 52099, 50830, 51935, 56766, 71188, 52628, 58072, 50830, 51182, 50830, 52042, 50808, 51776, 50830, 60913, 56846, 50830, 51201, 50830, 52401, 51173, 51713, 50830, 70864, 56055, 71188, 52359, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 50830, 68773, 61716, 50830, 51395, 50830, 52401, 50940, 52099, 50830, 51935, 56766, 71188, 54790, 52042, 54400, 58072, 50830, 51182, 50830, 51776, 50830, 52068, 50447, 52042, 52843, 55749, 50830, 51107, 50830, 52401, 51173, 51648, 50830, 70864, 56055, 71188, 52485, 58072, 50830, 51182, 50830, 52042, 50800, 51776, 53661, 55603, 50822, 52198, 50800, 50799, 55936, 50807, 55938, 50807, 55520, 51091, 51093, 51091, 51154, 50918, 77853, 52401, 51158, 51683, 51091, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 52401, 51158, 70864, 56055, 71188, 52359, 52042, 50952, 68773, 63330, 50967, 51357, 50967, 52401, 50924, 52310, 50967, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 52401, 51060, 70864, 56055, 71188, 52485, 55520, 50809, 51093, 50809, 52042, 50859, 51683, 51421, 54678, 55749, 50809, 69401, 51648, 52467, 50800, 50799, 61716, 50967, 55938, 50807, 55520, 50807, 51395, 50967, 77853, 76180, 52401, 51173, 52099, 50967, 51935, 56766, 71188, 52628, 52042, 52672, 52921, 55749, 50830, 51107, 50830, 52401, 51173, 51648, 50830, 70864, 56055, 71188, 52359, 56846, 50807, 65085, 52042, 79256, 50807, 68773, 52401, 50940, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 52843, 52401, 51173, 70864, 56055, 71188, 52485, 55520, 50809, 51093, 50809, 52042, 50800, 51683, 52467, 55603, 54846, 55749, 50809, 69401, 51648, 50809, 50799, 61716, 50967, 55938, 50807, 57778, 50807, 51395, 50967, 77853, 51165, 50918, 52401, 51158, 52099, 50967, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 55749, 50830, 51107, 50830, 52401, 51158, 51648, 50830, 70864, 56055, 71188, 52359, 56846, 50807, 65085, 52042, 50952, 51713, 54490, 52691, 52401, 50924, 70864, 67614, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 52401, 51060, 70864, 56055, 71188, 50809, 53061, 53820, 55520, 50809, 51093, 50809, 52042, 50859, 51683, 51421, 54678, 55749, 50809, 69401, 51648, 50809, 50799, 61716, 50967, 55938, 50807, 55520, 50807, 51395, 50967, 51088, 51358, 51093, 51358, 52401, 51173, 52099, 50967, 51935, 56766, 71188, 52628, 52042, 52672, 52921, 55749, 50830, 51107, 50830, 52401, 51173, 51648, 50830, 70864, 56055, 71188, 52359, 56846, 50967, 51201, 50967, 52042, 79256, 50967, 68773, 52401, 50940, 51935, 56766, 71188, 54790, 52042, 54400, 61716, 50830, 51395, 50830, 52099, 50830, 52068, 50447, 52042, 52843, 58072, 50967, 51182, 50967, 52401, 51173, 51776, 50967, 70864, 56055, 71188, 52485, 52042, 51907, 64133, 50799, 63330, 50807, 55749, 50807, 51357, 51091, 51107, 51091, 52401, 51158, 51935, 56766, 71188, 52628, 52042, 50859, 60913, 58072, 50809, 51182, 50809, 52401, 51158, 51776, 52773, 54092, 56055, 71188, 54056, 75229, 50809, 51629, 50809, 52747, 52359, 58072, 50830, 51182, 50830, 52042, 50952, 51776, 50830, 68773, 63330, 50807, 55749, 50807, 51357, 51091, 51107, 51091, 52401, 50924, 70864, 67614, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 58072, 50809, 51182, 50809, 52401, 51060, 51776, 52773, 54092, 56055, 71188, 54139, 75229, 50809, 51629, 50809, 52747, 52485, 58072, 50830, 51182, 50830, 52042, 50859, 51776, 53661, 55603, 58701, 62230, 50809, 52198, 54772, 62230, 50809, 50799, 61716, 50830, 53088, 50823, 77853, 76180, 52143, 51243, 51426, 51445, 51088, 51445, 51093, 51445, 52401, 51158, 51935, 56766, 71188, 52628, 55749, 50830, 51914, 50823, 52042, 50859, 60913, 61716, 50830, 53088, 50823, 52401, 51158, 70864, 56055, 71188, 52359, 55749, 50830, 51914, 50823, 52042, 50952, 68773, 61716, 50967, 53088, 50975, 52401, 50924, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 55749, 50830, 51914, 50823, 51088, 50830, 52401, 51060, 70864, 56055, 71188, 52485, 61716, 51112, 53088, 51066, 51088, 51161, 51093, 51161, 52042, 54047, 55603, 50822, 52198, 50800, 50799, 52143, 52337, 51426, 52121, 51182, 52204, 51093, 51801, 52401, 51158, 51935, 56766, 71188, 52628, 55749, 50830, 51914, 50823, 52042, 50859, 60913, 61716, 50830, 53088, 50823, 52401, 51158, 70864, 56055, 71188, 52359, 55749, 50830, 51914, 50823, 52042, 50952, 68773, 61716, 50967, 53088, 50975, 52401, 50924, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 51757, 55749, 50967, 51914, 50975, 52401, 51060, 70864, 56055, 71188, 52485, 52042, 50859, 52068, 52198, 50800, 50799, 61716, 50830, 53088, 50823, 77853, 76180, 52401, 51173, 51935, 56766, 71188, 52628, 55749, 50830, 51914, 50823, 52042, 52672, 52921, 61716, 50830, 53088, 50823, 52401, 51173, 70864, 56055, 71188, 52359, 55749, 50830, 51914, 50823, 52042, 51049, 52729, 61716, 50967, 53088, 50975, 52401, 50940, 51935, 56766, 71188, 54790, 52042, 50840, 51180, 54803, 52042, 52843, 56846 ]

[ 0, 250, 32076, 3495, 1619, 2214, 4246, 10170, 1499, 6, 449, 7087, 6, 13305, 6, 930, 2233, 6, 8, 23338, 33518, 1264, 6, 278, 11, 10, 20902, 155, 73, 306, 86, 6543, 19, 10, 27841, 139, 20889, 4, 20, 2125, 6, 11, 5, 762, 9, 83, 538, 6, 16, 17407, 30, 10, 15352, 30054, 8, 33558, 6711, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50639, 51018, 51018, 51018, 50446, 52533, 51585, 50449, 51198, 50914, 51034, 51984, 51692, 51099, 52282, 51119, 51029, 53360, 52054, 55124, 51830, 50822, 51917, 50808, 51198, 51043, 50903, 53156, 76969, 51119, 54123, 51830, 50810, 51917, 50800, 79414, 70300, 50903, 53156, 69774, 51708, 50910, 51099, 50942, 51034, 51216, 51518, 51119, 58011, 68014, 51917, 52450, 51830, 50822, 51847, 51252, 51099, 51269, 51119, 50365, 51698, 53156, 54584, 51830, 50810, 51917, 50800, 51099, 51121, 51119, 50974, 51847, 55023, 53156, 57764, 52533, 51358, 50448, 51198, 51423, 51034, 51493, 51518, 51099, 68113, 70250, 51119, 51573, 50425, 51917, 52450, 51830, 50822, 51198, 51242, 50903, 53156, 76969, 51119, 54793, 51830, 50810, 51917, 50800, 51099, 51101, 80064, 51198, 60894, 53156, 69774, 51708, 50959, 51034, 51216, 78811, 53220, 51830, 50822, 51917, 50808, 51847, 50971, 51099, 51123, 51119, 57261, 53156, 73425, 51847, 50950, 51099, 51158, 51119, 73320, 51830, 50810, 51917, 55023, 53156, 57764, 52533, 52311, 50448, 51198, 50866, 50449, 51099, 50936, 51034, 51984, 51692, 51119, 55166, 68014, 51322, 52450, 51830, 50822, 51099, 51387, 51119, 50987, 50903, 53156, 54584, 51830, 50810, 51322, 50800, 51198, 50942, 79091, 51119, 70785, 53156, 58573, 52176, 56123, 51034, 51216, 50914, 51099, 51138, 51489, 51138, 52537, 52590, 50851, 50419, 52176, 78573, 51099, 50811, 51489, 52952, 51512, 50962, 51435, 50930, 50440, 51119, 51167, 52070, 51235, 50449, 51512, 50846, 51435, 50841, 51099, 50836, 51034, 51389, 51692, 51322, 52231, 51489, 53095, 70250, 51494, 61521, 51275, 51552, 50426, 51322, 52231, 52812, 50822, 51322, 67893, 53156, 54584, 51322, 52231, 52812, 50810, 51322, 50800, 51119, 78468, 53156, 69774, 51275, 50823, 51034, 51216, 51692, 51322, 52231, 51198, 50823, 52176, 50366, 51015, 50851, 50419, 52176, 63026, 51198, 53363, 50426, 52812, 50810, 51322, 50800, 51322, 51055, 50903, 53156, 54661, 50804, 51550, 50437, 51144, 53663, 52812, 50942, 51322, 50952, 51256, 51055, 76784, 51269, 53673, 54141, 77137, 51232, 51692, 59053, 52176, 51585, 79515, 51518, 51408, 51285, 50801, 50851, 50416, 51308, 51226, 50425, 51322, 52450, 56600, 50883, 52393, 50883, 52286, 61319, 53156, 72739, 53342, 51048, 51666, 51048, 50437, 51119, 61287, 52498, 50948, 51691, 50948, 52286, 50810, 51322, 77180, 51196, 50903, 53156, 69774, 51988, 52512, 53105, 52512, 51198, 50982, 51232, 50928, 51034, 51216, 51692, 52176, 54169, 53220, 51322, 50800, 51322, 51055, 51708, 55428, 51198, 56300, 50903, 53156, 72739, 52286, 61868, 51144, 53663, 51873, 50893, 52368, 50893, 52286, 50942, 51322, 50952, 51256, 51055, 50903, 53156, 69774, 51119, 50823, 52176, 54430, 79515, 51518, 51408, 51285, 51232, 51675, 50801, 59010, 51308, 51141, 50424, 53342, 51091, 51666, 51091, 50425, 51322, 52450, 52286, 61319, 53156, 74234, 52498, 50806, 51691, 52322, 52286, 50810, 51322, 77180, 51585, 51119, 70571, 53156, 69774, 51988, 52097, 53105, 52097, 51034, 51216, 51692, 51144, 51591, 51119, 52195, 50801, 55054, 51119, 56374, 50426, 51322, 55023, 53156, 72739, 52286, 52729, 51873, 51566, 52368, 51566, 52286, 50942, 51322, 50952, 51256, 51055, 50903, 53156, 74578, 51119, 51379, 50443, 51232, 51000, 51034, 52078, 51692, 51994, 52195, 51871, 52195, 51209, 51285, 50801, 50851, 50416, 51869, 51021, 51198, 50910, 51099, 63606, 51256, 52450, 52000, 61319, 53156, 54584, 51994, 51048, 51871, 51048, 52000, 50810, 51256, 50800, 51209, 51055, 51198, 51797, 51099, 51167, 50903, 53156, 57764, 51869, 51518, 50449, 51198, 51238, 51034, 51389, 51692, 51994, 51235, 51871, 51235, 51229, 51055, 51099, 56795, 68014, 52498, 51346, 51691, 51346, 51144, 55640, 51256, 50800, 51209, 51055, 50903, 53156, 72739, 52000, 55730, 51198, 51314, 50436, 51994, 51346, 51871, 51346, 50438, 52000, 50942, 51256, 50952, 51256, 51055, 51099, 55964, 53156, 77047, 51708, 51965, 50449, 52619, 51605, 51873, 51605, 51034, 51216, 51518, 51908, 51605, 51366, 51469, 51232, 56073, 52537, 51896, 50801, 68014, 51917, 52450, 51830, 50822, 51847, 52015, 50903, 53156, 54584, 51830, 50810, 51917, 50800, 51708, 53241, 50903, 53156, 50907, 51034, 51493, 51692, 52537, 52827, 50801, 53220, 51917, 50800, 51917, 51055, 50903, 53156, 72739, 51830, 50810, 51847, 51413, 50437, 51232, 76190, 51830, 50942, 51917, 50952, 51366, 51055, 50903, 53156, 69774, 51964, 50890, 51034, 51216, 51518, 51408, 51285, 53646, 53672, 50851, 50416, 52746, 58486, 52533, 51336, 50425, 51917, 52450, 51830, 61319, 53156, 72739, 51994, 50889, 51871, 50889, 51308, 51724, 51830, 50810, 51917, 77180, 51196, 51099, 50893, 51308, 72633, 53156, 74578, 51873, 51345, 52368, 51345, 51198, 51045, 51034, 51493, 51692, 52537, 52311, 50801, 70250, 51988, 51364, 53105, 51364, 50426, 51917, 50800, 51917, 51055, 51099, 50959, 51119, 50865, 50903, 53156, 72739, 51830, 52729, 51873, 51379, 52368, 51379, 51830, 50942, 51917, 50952, 51366, 51055, 51847, 50803, 51099, 50910, 51119, 50967, 50903, 53156, 77047, 52533, 51896, 50449, 51198, 51480, 51034, 51216, 51518, 51408, 51285, 51512, 67487, 70250, 51308, 68542, 53438, 50859, 52939, 50859, 51830, 50822, 51917, 50808, 51198, 52059, 50903, 53156, 50907, 50428, 51994, 51095, 51871, 70149, 51873, 51055, 52368, 51055, 51830, 50810, 51917, 77180, 51469, 51099, 53010, 68946, 51308, 71424, 53156, 54682, 51119, 58510, 51847, 52048, 51034, 51493, 51692, 51988, 52512, 53105, 52512, 51708, 51932, 51099, 51244, 51119, 51661, 50801, 53220, 51830, 50810, 51917, 50800, 51847, 51166, 50903, 53156, 73425, 51873, 51379, 52368, 51379, 50438, 51830, 50942, 51917, 50952, 51847, 50860, 51119, 75994, 53156, 79177, 51280, 63532, 50449, 52498, 51010, 51691, 51010, 51034, 51216, 51518, 51209, 51055, 52537, 53601, 50801, 70250, 53438, 50887, 52939, 61060, 51994, 51091, 51871, 51091, 50425, 51917, 52450, 51830, 50822, 51209, 51055, 50903, 53156, 72739, 51847, 51269, 51099, 65536, 51099, 50800, 51847, 51252, 50437, 51994, 51056, 51871, 67272, 51830, 50810, 51917, 77180, 51055, 51099, 50865, 51847, 51470, 50903, 53156, 54682, 51847, 51524, 79091, 51034, 51493, 51692, 51994, 51255, 51871, 51255, 51209, 51055, 51708, 51029, 51847, 50955, 51099, 53287, 68014, 51280, 50874, 51144, 53950, 52498, 50896, 51691, 50896, 51917, 69635, 51055, 50903, 53156, 72739, 51830, 75322, 51119, 51894, 50437, 51280, 51337, 51232, 69203, 52619, 51337, 51908, 51337, 51830, 50942, 51917, 50952, 51366, 51055, 50903, 53156, 69774, 53342, 52382, 51873, 52382, 51666, 52382, 79515, 51518, 51322, 54089, 52176, 55198, 51708, 51183, 51198, 51356, 50801, 53220, 52286, 50822, 51322, 50808, 51144, 51226, 50903, 53156, 54584, 52286, 50810, 51322, 50800, 51119, 51427, 50903, 53156, 74578, 51232, 52222, 51034, 51216, 51692, 51275, 75264, 53220, 52286, 50810, 51322, 55023, 53156, 54661, 50804, 51550, 50433, 54520, 72215, 67656, 52204, 50437, 52619, 69658, 52286, 50942, 51322, 50952, 51275, 51021, 76784, 51269, 53673, 50442, 51198, 53325, 50804, 72496, 51232, 51309, 50448, 51876, 52151, 50449, 51099, 51008, 51964, 53898, 68423, 51518, 52619, 52382, 51994, 52919, 51531, 52919, 51334, 51055, 51153, 65426, 53220, 51451, 50822, 51209, 50808, 51334, 51055, 51232, 52782, 51099, 50978, 50903, 53156, 54584, 51451, 50810, 69787, 51334, 51055, 51232, 51797 ]

[ 0, 713, 15352, 30054, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3152, 6, 22750, 1626, 1313, 1007, 4, 85, 30853, 23, 10, 2635, 20889, 11, 10, 204, 73, 306, 86, 6543, 6, 24028, 11, 5, 762, 9, 83, 3694, 4, 20, 10320, 1258, 1575, 21072, 6, 3459, 9590, 6, 23338, 33518, 1264, 6, 8, 10, 38668, 483, 6, 19, 10, 6755, 12547, 1271, 5581, 7, 5, 9804, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 8, 1918, 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 ]

[ 61791, 50415, 50637, 56703, 54579, 50816, 50846, 51694, 54986, 50816, 53442, 50816, 50820, 52129, 55551, 50798, 53533, 51224, 54944, 51224, 52193, 51289, 54943, 51289, 50883, 52354, 51138, 51092, 53662, 54724, 58888, 54121, 57056, 51536, 61060, 51092, 51139, 56198, 58516, 51536, 54031, 51061, 50846, 68244, 51092, 65805, 50898, 58092, 51536, 58980, 51061, 63039, 50961, 69704, 51092, 50930, 73011, 59094, 51536, 53516, 65059, 51092, 55719, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 66827, 67871, 51023, 50883, 51092, 73417, 50898, 55303, 57004, 51536, 59873, 51061, 63039, 71701, 51406, 52600, 69124, 51185, 50860, 63145, 51437, 55303, 57014, 51630, 51030, 68251, 51061, 50846, 68244, 51092, 65805, 51156, 55303, 57013, 51536, 60555, 51061, 63039, 71701, 51187, 52725, 50964, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 78138, 51061, 63039, 50883, 51092, 53500, 50898, 55144, 54359, 51061, 63039, 50883, 51092, 75748, 52354, 50936, 51092, 51670, 54724, 51239, 55303, 57056, 51536, 66802, 51092, 50962, 52352, 51117, 58516, 51536, 54031, 51061, 63039, 50883, 69704, 51092, 51130, 58092, 51536, 55893, 67871, 51023, 62737, 50820, 51092, 69699, 51117, 59094, 51536, 53516, 65059, 51092, 51670, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 78138, 51061, 50818, 51023, 72087, 73417, 50898, 55303, 57004, 51536, 59873, 62790, 51023, 62737, 51464, 52600, 50945, 51603, 51185, 50911, 63145, 51437, 55303, 57014, 51630, 50893, 68251, 51061, 50884, 51023, 72087, 62737, 51156, 55303, 57013, 51536, 60555, 51061, 63039, 71701, 51187, 52725, 51019, 51460, 77247, 51833, 55144, 70885, 56671, 52579, 51089, 68204, 62737, 52538, 50898, 55144, 54359, 51089, 50839, 51020, 65805, 75748, 52288, 51021, 51185, 56583, 54724, 51239, 55303, 57056, 51630, 56092, 51185, 50962, 52352, 51117, 58516, 51630, 53336, 51061, 63039, 50884, 51185, 67127, 51010, 51468, 50421, 51630, 58980, 62818, 51023, 67127, 75809, 50930, 73011, 59094, 51630, 54392, 51069, 51012, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 61207, 51061, 73818, 50883, 51185, 71701, 51156, 55303, 57004, 51536, 61023, 62818, 51023, 50884, 51185, 51044, 52600, 65895, 51023, 51520, 54724, 51437, 55303, 57014, 51355, 50930, 68251, 51061, 63039, 50883, 51185, 51044, 55303, 53528, 67871, 51023, 50884, 51185, 51187, 52725, 51069, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 74442, 51061, 63039, 50895, 51185, 67127, 56339, 55144, 57620, 51630, 59426, 69318, 51023, 75809, 50841, 51185, 50930, 51762, 50460, 51630, 50890, 52288, 51014, 51185, 51670, 54724, 51239, 55303, 57056, 51630, 66802, 51185, 51156, 56198, 58516, 51630, 57242, 51061, 73818, 50883, 51185, 67127, 51156, 58092, 51630, 58980, 68462, 51023, 75809, 73549, 51156, 54121, 59094, 51630, 55447, 77764, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 67038, 51061, 73818, 50895, 51185, 62737, 51156, 55303, 57004, 51536, 61023, 62790, 51023, 50895, 51185, 51239, 64549, 58286, 52365, 52742, 50927, 51932, 51023, 51670, 54724, 51437, 55303, 60321, 59575, 51355, 50930, 51572, 72667, 53239, 51061, 73818, 50883, 51185, 51044, 55303, 50373, 52439, 55551, 67871, 51023, 50895, 51185, 51406, 64549, 53533, 51019, 51354, 77247, 51833, 55144, 60321, 76419, 56671, 52579, 51089, 50884, 51020, 50883, 51092, 53404, 50898, 55144, 54359, 51089, 50818, 51020, 50883, 51092, 51467, 50820, 52354, 51138, 51092, 53662, 54724, 58888, 54121, 57056, 51536, 61060, 51092, 51139, 56198, 58516, 51536, 54031, 51061, 50818, 68244, 51092, 65805, 50898, 58092, 51536, 58980, 62790, 51023, 50895, 69704, 51092, 50930, 73011, 59094, 51536, 53516, 65059, 51092, 55719, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 66827, 51061, 50818, 51023, 50883, 51092, 73417, 50898, 55303, 57004, 51536, 59873, 51061, 63039, 50883, 51092, 51187, 52600, 69124, 51185, 50860, 63145, 51437, 55303, 57014, 51630, 51030, 68251, 51061, 73818, 50883, 51092, 73417, 51156, 55303, 57013, 51536, 60555, 67871, 51023, 50884, 51092, 51467, 52725, 50964, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 78138, 51061, 73818, 50883, 51092, 53404, 50898, 55144, 54359, 61338, 51023, 65805, 51467, 50820, 52354, 50936, 51092, 51670, 54724, 51239, 55303, 57056, 51536, 66802, 51092, 50962, 52352, 51117, 58516, 51536, 54031, 51061, 50818, 68244, 51092, 62737, 51130, 58092, 51536, 55893, 62790, 51023, 62737, 73417, 69699, 51117, 59094, 51536, 53516, 65059, 51092, 51670, 56289, 51833, 58245, 51536, 50961, 51532, 56198, 52417, 78138, 51061, 50884, 51023, 72087, 62737, 50898, 55303, 57004, 51536, 59873, 62790, 51023, 50884, 51092, 51187, 52600, 50945, 51603, 51185, 50911, 63145, 51437, 55303, 57014, 51630, 50893, 68251, 51061, 50846, 68244, 51092, 65805, 51156, 55303, 57013, 51536, 60555, 62790, 51023, 71701, 51187, 52725, 51019, 51460, 77247, 51833, 55144, 70885, 56671, 52579, 51089, 50818, 51020, 71701, 52538, 50898, 55144, 54359, 51089, 50841, 51020, 71701, 75748, 52288, 51021, 51185, 56583, 54724, 51239, 55303, 57056, 51630, 56092, 51185, 50962, 52352, 51117, 58516, 51630, 53336, 51061, 63039, 75809, 67127, 51010, 51468, 50421, 51630, 58980, 62818, 51023, 67127, 72971, 50930, 73011, 59094, 51630, 54392, 51069, 51012, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 61207, 51061, 73818, 67127, 62737, 51156, 55303, 57004, 51536, 61023, 62790, 51023, 50884, 51185, 51239, 52600, 65895, 51023, 51520, 54724, 51437, 55303, 57014, 51355, 50930, 68251, 51061, 73818, 50883, 51185, 51179, 55303, 53528, 67871, 51023, 50895, 51185, 51239, 52725, 51069, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 74442, 51061, 50818, 51023, 50883, 51185, 50884, 51185, 56339, 55144, 57620, 51630, 59426, 67871, 51023, 50883, 51185, 75809, 50930, 51762, 50460, 51630, 50890, 52288, 51014, 51185, 51670, 54724, 51239, 55303, 57056, 51630, 66802, 51185, 51156, 56198, 58516, 51630, 57242, 51061, 50818, 68244, 51185, 50884, 51185, 51156, 58092, 51630, 58980, 67871, 51023, 50895, 51185, 75809, 51156, 54121, 59094, 51630, 55447, 77764, 51185, 51670, 56289, 51833, 58245, 51630, 50930, 51532, 56198, 52417, 67038, 51061, 50818, 51023, 50949, 51185, 65805, 51156, 55303, 57004, 51536, 61023, 61338, 51023, 67127, 51239, 52600, 50927, 51932, 51023, 51670, 54724, 51437, 55303, 57014, 51355, 50930, 68251, 51061, 50818, 51023, 50949, 51185, 51179, 55303, 53528, 62818, 51023, 67127, 51187, 52725, 51019, 51354, 77247, 51833, 55144, 70885, 56671, 52579, 51020, 73417, 50818, 51403, 53404, 50898, 55144, 54359, 51020, 50834, 51092, 50828, 51403, 76105, 52354, 51138, 52117, 50894, 73993, 53079, 50823, 63145, 58888, 54121, 69075, 56198, 52761, 67871, 51023, 71701, 51187, 53109, 52117, 51010, 73993, 53079, 50803, 62818, 51023, 71701, 51406, 54121, 52639, 65059, 77247, 51833, 68012, 56198, 52417, 66827, 52452, 51021, 52696, 50802, 54205, 50802, 51061, 63039, 50883, 51092, 51239, 55303, 53439, 62818, 51023, 71701, 51467, 52600, 69124, 52117, 51014, 52696, 51033, 53079, 51033, 63145, 51437, 55303, 50846, 68251, 62790, 51023, 50883, 51092, 51187, 55303, 53528, 67871, 51023, 71701, 51406, 52725, 50964, 52090, 56289, 51833, 55144, 70885, 56671, 52579, 78138, 51061, 50818, 68244, 51092, 52538, 50898, 55144, 54359 ]

[ 0, 713, 17627, 17274, 5175, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1575, 10, 20902, 11739, 9, 20535, 6, 22052, 6, 4401, 757, 3178, 6, 8, 17796, 15561, 6, 2351, 10, 33558, 8, 2365, 5466, 4, 20, 12447, 1001, 20889, 4719, 5, 1007, 239, 1328, 6, 150, 5, 15352, 30054, 3222, 5785, 227, 5, 9571, 3639, 10, 10490, 9, 11098, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 272, 6, 8, 230, 1639, 10, 2705, 4811, 13, 42, 2214, 12, 16096, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 72965, 62239, 51068, 52565, 51068, 52210, 51068, 52396, 51068, 50846, 72965, 53855, 51068, 53219, 51068, 53239, 51068, 52396, 51068, 50846, 72965, 54877, 50380, 52439, 54966, 59761, 51170, 52905, 51240, 50380, 52439, 56289, 58855, 52365, 53116, 51068, 55399, 56455, 58829, 51240, 56455, 78846, 52878, 51068, 57868, 51170, 53083, 51240, 78846, 56289, 50818, 50799, 52365, 54877, 55304, 55399, 52905, 52365, 54877, 54782, 57517, 52565, 51068, 61526, 55399, 55202, 52878, 51240, 57517, 61526, 54877, 53083, 51068, 53317, 64200, 54877, 50828, 50799, 58183, 50970, 50892, 58993, 52166, 56340, 51700, 52761, 67911, 72639, 50947, 54007, 50986, 50808, 50970, 60352, 58821, 51068, 52437, 65930, 61416, 58993, 50832, 54169, 51135, 53063, 67911, 72639, 50947, 56966, 77205, 60888, 50947, 54362, 72429, 63960, 66906, 52166, 56340, 51700, 52986, 77205, 72639, 50947, 56675, 51700, 54847, 77205, 73635, 50947, 54596, 58183, 61416, 66906, 78820, 51239, 51909, 52579, 77205, 73635, 50947, 56860, 61270, 50970, 74630, 50799, 58183, 50970, 50892, 58993, 50832, 53669, 51135, 56340, 53576, 67911, 72639, 50947, 54007, 50986, 50808, 50970, 60352, 51620, 65930, 61416, 58993, 51068, 53704, 76902, 53063, 67911, 72639, 50947, 56966, 77205, 60888, 50947, 54362, 72429, 63960, 66906, 52166, 51877, 56564, 53239, 77205, 72639, 50947, 56675, 51700, 54028, 50986, 50808, 70434, 50947, 51757, 77205, 50970, 50859, 50947, 53841, 76902, 56564, 55079, 77205, 60888, 50947, 52935, 77205, 73635, 50947, 56860, 61270, 50970, 60352, 57614, 51093, 51013, 51284, 51109, 52233, 52122, 51821, 52122, 51701, 52122, 52354, 51111, 58183, 50970, 50892, 58993, 52166, 58168, 53227, 67911, 72639, 50947, 54250, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53467, 50986, 50808, 50970, 60352, 58821, 65431, 51284, 53770, 50964, 51111, 65930, 61416, 50947, 56369, 54005, 51179, 59278, 67769, 51284, 57648, 67911, 72639, 50947, 55121, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53307, 77205, 60888, 75727, 53357, 50805, 72429, 63960, 66906, 52166, 59808, 51093, 50879, 51284, 53999, 77205, 72639, 50947, 54250, 52132, 50825, 52345, 50809, 52360, 50809, 53328, 53401, 50945, 50840, 77205, 73635, 50947, 53287, 58501, 65431, 51284, 54323, 74100, 58183, 61416, 50947, 53946, 54005, 51044, 58677, 67769, 51284, 58843, 64279, 77205, 73635, 50947, 53287, 53708, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53793, 61270, 50970, 74630, 71059, 51355, 73695, 50855, 52354, 51111, 58183, 50970, 50892, 58993, 52166, 63222, 51107, 50914, 51284, 51097, 60434, 50821, 72639, 50947, 54250, 52132, 50835, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53467, 50986, 50808, 50970, 60352, 51620, 50964, 51111, 65930, 61416, 50947, 56369, 54005, 51179, 59278, 51113, 50805, 51284, 54342, 67911, 72639, 50947, 55121, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53307, 77205, 60888, 50947, 64141, 51093, 51446, 51284, 51535, 53357, 50805, 72429, 63960, 66906, 52166, 52986, 53775, 50849, 77205, 72639, 50947, 54250, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53401, 50945, 50840, 77205, 73635, 50947, 53287, 53035, 74100, 54030, 50849, 58183, 61416, 50947, 53946, 54005, 51044, 53017, 64279, 55199, 50849, 77205, 73635, 50947, 53287, 53708, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53793, 61270, 50970, 74630, 71059, 51355, 73695, 59700, 51201, 51141, 51284, 51318, 52354, 51095, 57655, 50849, 58183, 50970, 50892, 58993, 52166, 53403, 67911, 72639, 50947, 54250, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53467, 50986, 50808, 50970, 60352, 51620, 50964, 51095, 65930, 61416, 50947, 56369, 54005, 51179, 59278, 51284, 50805, 51304, 54342, 67911, 72639, 50947, 55121, 52132, 50835, 52345, 50809, 52360, 50809, 53328, 53307, 77205, 60888, 50947, 64141, 51182, 51364, 51394, 51115, 53357, 50805, 72429, 63960, 66906, 52166, 52986, 77205, 72639, 50947, 54250, 52132, 50825, 52345, 50809, 52360, 50809, 53328, 53401, 70746, 50986, 50808, 70434, 50947, 52218, 53035, 74959, 77205, 50970, 50859, 50947, 54047, 54005, 51044, 55097, 77205, 60888, 60405, 50455, 51201, 50849, 51284, 53581, 69275, 77205, 73635, 50947, 53287, 53708, 52132, 50825, 71059, 51355, 73695, 50855, 52345, 50809, 52360, 50809, 53328, 53793, 61270, 50970, 74630, 71059, 51355, 73695, 59700, 51201, 51307, 51394, 51445, 77881, 51821, 51353, 52072, 51353, 54516, 51111, 64629, 50970, 50892, 51064, 50901, 52166, 53403, 75444, 51713, 50858, 60217, 72639, 51064, 54250, 52132, 50835, 71059, 51543, 50855, 51630, 50855, 52661, 50809, 52779, 50809, 53328, 53467, 50960, 50808, 68421, 51064, 51620, 51906, 50808, 52366, 50858, 50945, 51111, 71369, 61416, 51064, 56369, 54005, 51179, 52953, 51683, 50808, 52306, 50858, 60217, 72639, 51064, 54250, 52132, 50835, 52661, 50809, 52779, 50809, 53328, 53307, 74582, 60888, 51064, 54362, 51648, 50809, 52991, 50880, 51186, 50805, 71821, 63960, 51064, 50873, 52166, 55604, 51648, 50833, 52991, 51820, 74582, 72639, 51064, 54250, 52132, 50835, 52661, 50809, 52779, 50809, 53328, 53401, 51648, 50800, 52991, 50821, 51186, 50840, 74582, 73635, 51064, 53287, 53035, 69642, 64629, 61416, 51064, 53946, 54005, 51044, 55097, 51683, 50812, 52306, 54418, 51906, 50833, 52366, 50800, 51186, 50938, 74582, 73635, 51064, 53287, 53708, 52132, 50825, 71059, 51543, 50855, 51630, 50855, 52661, 50809, 52779, 50809, 53328, 53793, 73127, 68421, 70095, 51543, 50855, 51630, 59700, 51266, 50917, 51182, 51058, 52233, 52122, 52091, 52122, 51678, 52122, 50799, 51888, 50859, 52306, 50882, 51133, 51111, 58183, 68242, 65738, 52166, 63222, 51266, 50937, 51182, 51006, 60434, 50821, 50998, 50882, 50929, 54250, 52132, 50825, 77071, 51250, 73695, 50855, 76282, 52360, 50809, 53385, 53467, 50986, 50808, 65025, 50929, 58821, 51266, 50937, 51182, 57104, 50953, 51095, 65930, 63386, 50929, 56369, 54005, 51179, 59278, 51266, 51159, 51182, 51380, 50432, 67911, 50998, 50882, 50929, 55121, 52132, 50835, 76282, 52360, 50809, 53385, 53307, 77205, 62049, 50929, 54362, 51133, 50805, 72429, 60419, 62018, 52166, 59808, 51266, 50849, 51182, 56391, 77205, 50998, 50882, 50929, 54250, 52132, 50825, 76282, 52360, 50809, 53385, 53401, 51133, 50840, 77205, 78680, 50929, 53287, 58501, 51107, 50805, 51201, 54323, 74959, 58183, 63386, 50929, 53946, 54005, 51044, 58677, 71545, 51266, 56711, 65344, 77205, 78680, 50929, 53287, 53708, 52132, 50825, 77071, 51250, 73695, 50855, 76282, 52360, 50809, 53385, 53793, 61270, 65025, 59675, 77071, 51250, 73695, 59700, 51266, 50805, 51182, 50974, 54272, 51111, 58183, 68242, 65738, 52166, 63222, 51266, 50917, 51182, 51006, 60434, 50821, 50998, 50882, 50929, 54250, 52132, 50835, 77071, 51250, 73695, 50855, 76282, 52360, 50809, 53385, 53467, 50986, 50808, 65025, 50929, 58821, 51266, 50917, 51182, 61911, 50953, 51095, 65930, 63386, 50929, 56369, 54005, 51179, 59278, 51266, 51157, 51182, 51380, 50432, 67911, 50998, 50882, 50929, 55121, 52132, 50835, 76282, 52360, 50809, 53385, 53307, 77205, 62049, 50929, 54362, 51133, 50805, 72429, 60419, 62018, 52166, 59808, 51266, 50938, 51182, 64208, 77205, 50998, 50882, 50929, 54250, 52132, 50835, 76282, 52360 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 10, 32909, 8, 1076, 560, 31365, 25999, 816, 5, 483, 34879, 6, 7513, 30, 10, 18558, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2125, 16, 11, 274, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 230, 6, 163, 428, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50796, 50799, 54809, 56763, 53124, 64919, 52155, 74123, 51229, 53002, 51334, 53601, 51893, 57676, 55907, 52121, 53165, 52121, 52842, 52121, 52350, 52121, 52901, 52121, 54775, 52121, 52320, 54450, 53124, 50893, 50799, 52315, 51238, 50423, 52155, 51235, 51544, 53644, 53124, 51364, 52320, 50961, 50799, 54809, 56179, 53124, 51016, 51544, 54562, 51209, 51655, 52031, 52017, 51408, 51696, 52182, 51343, 62513, 51293, 55348, 52121, 53853, 52121, 54614, 51293, 52277, 51293, 56462, 51293, 52320, 54450, 53124, 50879, 50799, 53320, 60823, 52182, 53734, 54562, 51256, 54454, 51408, 54454, 51390, 54527, 53124, 51343, 52364, 53753, 52842, 53753, 52789, 53753, 60151, 53753, 52320, 50961, 50799, 54809, 56179, 53124, 51013, 51544, 54562, 52155, 74123, 51334, 53002, 51893, 53073, 51256, 51079, 51229, 53601, 52842, 52121, 54775, 52121, 55907, 52121, 52350, 52121, 52901, 52121, 53165, 52121, 52320, 54210, 53124, 50879, 50799, 52315, 61649, 52155, 53734, 54562, 53124, 51364, 52320, 50961, 50799, 54809, 56763, 53124, 54851, 53124, 53417, 54562, 54809, 54993, 52031, 53435, 51408, 51991, 51209, 51605, 52182, 51016, 62513, 52071, 56462, 52071, 55348, 52071, 54614, 52071, 53853, 52121, 52277, 52071, 50440, 50630, 50450, 52182, 53417, 54450, 52182, 50879, 50799, 52182, 56763, 52182, 55341, 52182, 53417, 54562, 51390, 51696, 51408, 51264, 51256, 51469, 53124, 51364, 52842, 51293, 60151, 51293, 52364, 51293, 52789, 51293, 55348, 51293, 50440, 50629, 52320, 50961, 50799, 52315, 56763, 53124, 64919, 50945, 56300, 53124, 51356, 59405, 50841, 51515, 52570, 51774, 53073, 55907, 52121, 53165, 52121, 52842, 52121, 50440, 50630, 51180, 53421, 53687, 56736, 54111, 56300, 53316, 50846, 51453, 50834, 50799, 54470, 50898, 54005, 55265, 54470, 52302, 54470, 50898, 53790, 55133, 54470, 52630, 54470, 56339, 56710, 54470, 52265, 56687, 51072, 51479, 50828, 51570, 52210, 54470, 51156, 52805, 54470, 52791, 64707, 51453, 53754, 50928, 56032, 50870, 53206, 56172, 50816, 50820, 50799, 58912, 50898, 54285, 55265, 54470, 53213, 50964, 54405, 51041, 61266, 51228, 58235, 50927, 53744, 51105, 50839, 54470, 58242, 51019, 59761, 50945, 52992, 51213, 51437, 53683, 56973, 50953, 65760, 51325, 50820, 50953, 53943, 51213, 56839, 50945, 56657, 51019, 52925, 51105, 50820, 71019, 52677, 52748, 57398, 50927, 50839, 51228, 56565, 50964, 53889, 54950, 51205, 53754, 62196, 51096, 56305, 51069, 53754, 52600, 51796, 50839, 50945, 51013, 51451, 51013, 51256, 51016, 56549, 51732, 59405, 50839, 51774, 51605, 51515, 52536, 51440, 52392, 50885, 58602, 52350, 52121, 52901, 52071, 54775, 52121, 50439, 51229, 51566, 50850, 51072, 50440, 50630, 51180, 53421, 59372, 51229, 51013, 51256, 50914, 50832, 51179, 53404, 59482, 64061, 50896, 50451, 51451, 51157, 70385, 51453, 59933, 53124, 50795, 52354, 50859, 51451, 50873, 74602, 52155, 50893, 51479, 66825, 55868, 59413, 51229, 50865, 50850, 56111, 67518, 51229, 50879, 51256, 50849, 51752, 50879, 51897, 63752, 56674, 50806, 50421, 51451, 79502, 57327, 69126, 51451, 50892, 51256, 50805, 51596, 58530, 51179, 53683, 63358, 55868, 61536, 51229, 62663, 54684, 50927, 50983, 51229, 51496, 51256, 51274, 53320, 51364, 59640, 50817, 51614, 54454, 51440, 52382, 51515, 54454, 50850, 51029, 50872, 51029, 52789, 53753, 50433, 51322, 50983, 50848, 51029, 51570, 67902, 53421, 58883, 51322, 50889, 51256, 50807, 52182, 50879, 53316, 52100, 65810, 64061, 50896, 50451, 51229, 55541, 57024, 53124, 56867, 53796, 50839, 56032, 50870, 53206, 56603, 50816, 50839, 50799, 51322, 50901, 51256, 50849, 52182, 53734, 54285, 61597, 55868, 59413, 51229, 62033, 56111, 65340, 51229, 50873, 51256, 50873, 54809, 50879, 51897, 63752, 56674, 50806, 50421, 51322, 50937, 50848, 57327, 65648, 51322, 50849, 74602, 57624, 53417, 52240, 53683, 61597, 55868, 61536, 51229, 50865, 50850, 54684, 70429, 51229, 50805, 51256, 50805, 53124, 51343, 51897, 62237, 56674, 69988, 51322, 69912, 50936, 53357, 51013, 51451, 50807, 51256, 51016, 65986, 50817, 51774, 50918, 51440, 51077, 51515, 50918, 50885, 58602, 52901, 52121, 50439, 51229, 51055, 50850, 51072, 51180, 52772, 59372, 51229, 51013, 51256, 59451, 51625, 51179, 62372, 64061, 50896, 50451, 51451, 51157, 70385, 51453, 55053, 50801, 50834, 52354, 50800, 51451, 50901, 74602, 51479, 62061, 55868, 59413, 51229, 65292, 56111, 67518, 51229, 50879, 51256, 72072, 50829, 52327, 51014, 51607, 56754, 56674, 50806, 50421, 51451, 79502, 50936, 50422, 51669, 56667, 69126, 51451, 50845, 51256, 50849, 53316, 52240, 72084, 55868, 61536, 51229, 50938, 51607, 61267, 54684, 50945, 51343, 51229, 51496, 51256, 51343, 58805, 50817, 51440, 51527, 52327, 51870, 50850, 51029, 50872, 51029, 50433, 51451, 51364, 50885, 51029, 51570, 67902, 53421, 51451, 50914, 51256, 50807, 58070, 53683, 63358, 64061, 50896, 50451, 51229, 71778, 57024, 50816, 53796, 50834, 56032, 50870, 53206, 56172, 50816, 50820, 53870, 50830, 51451, 50901, 51256, 50849, 51479, 50818, 51515, 50890, 51607, 51552, 50885, 55868, 59413, 51229, 50937, 51434, 60787, 56111, 51229, 50849, 51256, 50873, 51897, 63752, 56674, 50806, 50421, 51451, 50937, 51515, 51158, 50885, 57327, 59372, 51451, 50849, 51256, 54397, 51179, 53683, 63358, 55868, 61536, 51229, 50865, 51614, 60787, 54684, 64584, 51229, 50795, 51256, 50805, 59640, 50883, 51944, 69504, 56674, 69988, 51451, 50938, 51434, 78769, 50936, 53357, 51013, 51451, 51013, 51256, 51016, 51479, 50884, 51515, 51795, 50885, 58602, 53985, 51264, 52945, 51264, 52689, 51264, 50439, 51229, 51055, 50850, 51072, 50440, 50630, 51180, 52772, 64628, 51229, 51013, 51256, 59451, 51625, 51179, 62372, 64061, 50896, 50451, 51451, 51157, 70385, 50456, 57624, 50893, 51970, 62190, 50834, 52354, 50859, 51451, 50901, 74602, 52155, 50879, 51479, 62061, 55868, 59413, 51229, 65292, 56111, 59372, 51229, 50879, 51256, 50849, 51752, 50879, 51897, 59588, 56674, 50806, 50421, 51451, 50917, 50885, 57327, 69126, 51451, 50892, 51256, 50805, 51596, 50893, 53316, 52240, 72084, 55868, 61536, 51229, 62663, 54684, 51096, 50983, 51408, 51274, 51256, 51274, 53320, 51013, 58805, 50817, 51515, 54527, 51614, 54454, 50939, 51029, 50872, 51029, 53853, 53753, 52789, 53753, 54775, 53753, 50433, 51322, 50983, 50848, 51029, 51570, 50818, 53985, 51264, 52888, 51264, 53391, 51264, 50444, 52182, 53734, 53421, 73834, 51322, 50914, 51256, 50807, 52182, 58530, 51179, 53404, 61597, 64061, 50896, 50451, 51408, 72150, 57024, 53124, 57321, 53796, 50834, 56032, 55397, 51096, 55508, 56603, 50816, 50839, 53596, 50893, 51322, 50901, 51256, 50849, 52182, 50893, 51479, 66141, 55868, 59413, 51408, 50917, 50939, 56111, 77675, 51408, 50849, 51256, 50873, 53320, 50879, 51897, 66848, 56674, 50806, 50421, 51322, 50937, 50848, 57327, 51322, 50849, 74602, 52182, 50879, 53316, 52240, 65810, 55868, 61536, 51408, 50865, 50939, 54684, 78144, 51408, 50795, 51256, 50805, 53124, 50893, 59640, 67515, 56674, 69988, 51322, 69912, 50936, 56107, 50807, 51451, 50807, 51366, 51016, 53320, 50893, 65986, 63358, 59568, 50824, 53274, 53090, 53132, 53090, 52689, 53090, 52901, 55277, 53676, 55277, 52277, 52121, 50439, 51334, 51566, 50909, 51072, 50440, 50630, 50444, 52182, 51364, 59056, 51334, 51013, 51366, 50914, 50832, 53683, 50898, 64278, 66282, 50896, 50451, 51451, 51157 ]

[ 0, 250, 765, 15855, 8, 19834, 12, 5827, 15229, 11, 230, 538, 6, 4246, 10, 11739, 9, 3741, 27374, 594, 6, 13305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 3023, 4360, 25999, 6, 8, 930, 2233, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 15352, 30054, 648, 2933, 8, 5679, 26709, 5466, 6, 10686, 13, 822, 2314, 4, 20, 2125, 16, 17407, 30, 5, 33215, 16739, 9, 211, 119, 406, 8, 272, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 64523, 50664, 50281, 60039, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 51050, 50833, 50664, 50281, 75396, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51247, 50890, 50664, 50281, 64599, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 51050, 50833, 50664, 50281, 50827, 54955, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 51050, 50833, 50664, 50281, 60952, 51247, 50858, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51214, 50858, 50664, 50281, 75396, 51085, 51879, 50297, 50855, 50660, 50277, 50811, 50664, 50281, 61800, 51026, 50855, 50664, 50281, 64599, 62784, 50661, 50279, 50803, 50664, 50281, 63652, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 50827, 53997, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 50997, 50855, 50664, 50281, 60039, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51234, 50858, 50664, 50281, 60952, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 50997, 50833, 50664, 50281, 75396, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51234, 50890, 50660, 50277, 50811, 50664, 50281, 64599, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 50997, 50833, 50660, 50277, 50803, 50664, 50281, 50827, 54662, 50858, 62784, 50661, 50279, 50803, 50664, 50281, 73616, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51214, 51879, 50302, 50855, 50660, 50277, 50811, 50664, 50281, 63444, 62784, 50664, 50281, 60952, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 51050, 50855, 50664, 50281, 64599, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 63652, 51247, 50858, 50664, 50281, 50827, 54795, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 51050, 50855, 50664, 50281, 60039, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 51050, 50833, 50664, 50281, 75396, 51247, 51879, 50299, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51214, 50890, 50664, 50281, 64599, 51085, 50858, 51050, 50833, 50660, 50277, 50803, 50664, 50281, 63652, 51026, 50833, 50664, 50281, 50827, 53975, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51234, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 50997, 50833, 50664, 50281, 60952, 62784, 50661, 50279, 50803, 50664, 50281, 52788, 51234, 50858, 50664, 50281, 75396, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 50997, 50855, 50664, 50281, 64599, 62784, 50661, 50279, 50803, 50664, 50281, 63652, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 50827, 53997, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 50997, 50855, 50660, 50277, 50811, 50661, 50279, 50840, 50664, 50281, 65127, 50661, 50279, 67937, 51234, 77242, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51085, 50858, 50661, 50279, 50803, 50664, 50281, 60952, 51214, 50858, 50997, 50833, 51414, 53090, 51457, 53090, 51231, 53002, 50660, 50277, 50803, 50664, 50281, 52788, 62784, 50664, 50281, 75396, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 64599, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 51050, 50833, 50664, 50281, 50827, 54955, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51247, 50890, 50664, 50281, 60039, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 51050, 50833, 50664, 50281, 60952, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 51050, 50855, 50664, 50281, 64599, 51247, 50858, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 63652, 51214, 50858, 50664, 50281, 50827, 53997, 50858, 51050, 50833, 51327, 53090, 51818, 53090, 50660, 50277, 50803, 50664, 50281, 73616, 51026, 50855, 50664, 50281, 60039, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 50997, 50833, 50664, 50281, 75396, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51234, 50890, 50664, 50281, 64599, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 63652, 50997, 50833, 50664, 50281, 50827, 53975, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51234, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 50997, 50833, 50660, 50277, 50803, 50664, 50281, 60952, 51234, 50858, 62784, 50661, 50279, 50803, 50664, 50281, 52788, 51085, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51214, 51879, 50302, 50855, 51457, 53363, 51414, 53090, 51231, 53002, 50660, 50277, 50811, 50664, 50281, 61800, 50900, 50855, 50664, 50281, 64599, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 63652, 51247, 50858, 50660, 50277, 50803, 50664, 50281, 50827, 54795, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 51050, 50855, 50664, 50281, 60039, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51247, 50858, 50664, 50281, 60952, 51214, 50858, 50660, 50277, 50803, 50664, 50281, 52788, 51050, 50833, 50664, 50281, 75396, 51026, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 64599, 51214, 50858, 51825, 51141, 50660, 50277, 50803, 50664, 50281, 63652, 51050, 50833, 50664, 50281, 50827, 54734, 50858, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51214, 50890, 50664, 50281, 60039, 51085, 51879, 50297, 50855, 51818, 53363, 51327, 53090, 50660, 50277, 50811, 50664, 50281, 63444, 51026, 50833, 50664, 50281, 60952, 62784, 50661, 50279, 50803, 50664, 50281, 52788, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 75396, 51085, 50890, 50660, 50277, 50811, 50664, 50281, 61800, 50997, 50855, 50664, 50281, 64599, 62784, 50661, 50279, 50803, 50664, 50281, 63652, 51234, 50858, 50664, 50281, 50827, 53997, 50858, 50660, 50277, 50803, 50664, 50281, 73616, 50997, 50855, 50664, 50281, 60039, 50900, 50855, 50661, 50279, 50811, 50664, 50281, 63444, 51234, 50858, 50660, 50277, 50803, 50664, 50281, 60952, 51085, 50858, 51825, 51141, 50660, 50277, 50803, 50664, 50281, 52788, 50997, 50833, 50660, 50277, 50803, 50661, 50279, 50808, 50664, 50281, 75325, 50661, 50279, 73946, 51234, 77242, 50855, 50661, 50279, 50811, 50664, 50281, 61800, 51085, 50890, 50660, 50277, 50811, 50661, 50279, 50811, 50664, 50281, 64599, 51214, 50858, 50997, 50833, 51231, 52392, 51457, 53363, 51414, 53090, 50660, 50277, 50803, 50664, 50281, 63652, 62784, 50664, 50281, 50827, 54955, 50833, 50661, 50279, 50803, 50664, 50281, 73616, 51247, 50890, 50660, 50277, 50811, 50664, 50281, 60039, 51214, 50890, 50660, 50277, 50811, 50664, 50281, 63444, 51050, 50833, 50664, 50281, 60952, 51026, 50833, 50661, 50279, 50803, 50664, 50281, 52788, 51247, 50858, 50664, 50281, 75396, 51214 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 19, 10, 2365, 8, 1619, 619, 6, 4246, 10, 20535, 2810, 6, 2382, 3459, 8669, 6, 21072, 6, 21979, 8669, 6, 8, 6755, 12547, 4, 20, 2214, 16, 11, 163, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 10, 182, 1769, 20889, 9, 28833, 163, 5683, 4, 20, 1049, 33215, 16739, 6, 163, 8, 274, 10431, 6, 35315, 5705, 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 ]

[ 65919, 53069, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 58099, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 58221, 52310, 50803, 52310, 50803, 53170, 50803, 53170, 57880, 52425, 50976, 52425, 50976, 54556, 50976, 54556, 50976, 50443, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 57795, 52489, 50860, 52489, 50860, 52747, 50860, 52747, 69502, 51913, 50860, 51913, 50860, 52002, 50860, 52002, 50860, 65919, 51205, 50824, 51357, 52096, 51395, 51492, 51600, 52122, 51284, 55856, 51076, 51109, 51549, 51073, 51786, 51162, 51788, 51775, 52310, 50802, 52310, 50802, 53170, 50802, 53170, 68117, 59608, 55880, 54681, 54399, 51111, 51715, 51369, 60387, 60342, 52310, 50860, 53170, 65644, 53210, 50976, 53210, 58595, 51546, 71639, 50859, 52165, 50821, 52110, 50810, 59319, 50976, 50672, 50334, 50976, 78634, 50892, 51076, 51142, 51549, 51051, 51786, 50933, 51788, 50933, 53717, 56192, 56010, 56010, 59603, 50381, 63599, 59418, 54154, 62792, 54399, 50803, 51076, 51056, 51549, 51566, 51786, 51159, 51788, 51775, 53717, 61705, 56247, 59603, 59186, 57503, 50857, 53915, 50823, 53915, 50823, 55883, 50823, 55883, 53925, 51105, 54774, 57384, 53716, 54756, 57052, 55864, 54989, 54399, 50795, 51076, 50907, 51549, 50827, 51786, 50827, 51788, 50874, 51340, 51586, 59608, 55880, 62120, 53424, 51014, 53424, 51014, 57146, 50860, 57146, 67976, 55883, 50952, 55883, 50952, 54343, 50860, 54343, 54554, 78794, 52110, 65123, 50882, 51546, 50803, 52165, 50803, 59319, 50976, 50672, 50334, 51388, 78634, 51212, 51076, 51025, 51549, 51073, 51786, 51162, 51788, 51412, 53717, 53243, 51858, 54756, 56662, 77293, 50381, 63599, 57812, 55577, 54399, 54262, 50565, 66926, 61391, 77293, 50381, 63599, 57812, 50855, 54798, 50824, 51076, 51025, 51549, 51157, 51786, 51346, 51788, 51025, 52963, 59453, 55864, 54507, 54399, 51060, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 51156, 54772, 57047, 53803, 51208, 50821, 51546, 50803, 52165, 50894, 52110, 50810, 59319, 51388, 50672, 50334, 51505, 78634, 51242, 51076, 50933, 51549, 50959, 51786, 50822, 51788, 51008, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 50926, 50565, 55702, 56010, 56010, 59603, 59186, 57812, 54937, 62792, 54399, 50823, 51076, 51377, 51549, 51227, 51786, 51112, 51788, 51363, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 50926, 50565, 62073, 61639, 59603, 50957, 50597, 57503, 54077, 71885, 52425, 50976, 52425, 50976, 54556, 50976, 54556, 65424, 57384, 56330, 54756, 57052, 57500, 54651, 54399, 51173, 51076, 51051, 51549, 50874, 51786, 50827, 51788, 50822, 52310, 50803, 52310, 50803, 53170, 50803, 53170, 51052, 61150, 54756, 57388, 54105, 78794, 52110, 66114, 50858, 51546, 50803, 52165, 50882, 59319, 50976, 50672, 50334, 51388, 78634, 50905, 51076, 51377, 51549, 51653, 51786, 51238, 51788, 51025, 52489, 50860, 52489, 50860, 52747, 50860, 52747, 50860, 53717, 53345, 52625, 63973, 56662, 77293, 50383, 63599, 60387, 54418, 54399, 50823, 51913, 50860, 51913, 50860, 52002, 50860, 52002, 50860, 53717, 59453, 66204, 59603, 50385, 63599, 57388, 50867, 54798, 50817, 51357, 50829, 51395, 50818, 51600, 50839, 51284, 51004, 51076, 50820, 51549, 50884, 51786, 50828, 51788, 50835, 52310, 50976, 52310, 50976, 53170, 50976, 53170, 50976, 53005, 59608, 55880, 68061, 51019, 50817, 51301, 52096, 51375, 51492, 51357, 52122, 51266, 55856, 50998, 51203, 51169, 51345, 51076, 51124, 51292, 51534, 50416, 51019, 68107, 51908, 51111, 51715, 51369, 60387, 65643, 52310, 50802, 53170, 52038, 51281, 50811, 51089, 50859, 51208, 50821, 51403, 50810, 53242, 50976, 54399, 50976, 60036, 50892, 50998, 51142, 51169, 51051, 51076, 50933, 51292, 50933, 53717, 56192, 56010, 56010, 59603, 50381, 63599, 59418, 50858, 53424, 51066, 53424, 63284, 62664, 51908, 77994, 51056, 51169, 51566, 51076, 51159, 51292, 51775, 53717, 61705, 56247, 59603, 59186, 57503, 50857, 57146, 50823, 57146, 53925, 51325, 54774, 57384, 53716, 54756, 57052, 55864, 67106, 55883, 51014, 55883, 51014, 54343, 50823, 54343, 55380, 51908, 50795, 50998, 50907, 51169, 50827, 71721, 72761, 51340, 51586, 59608, 55880, 59433, 57146, 50917, 57146, 50917, 58013, 50860, 58013, 54554, 51415, 50824, 51403, 50813, 51089, 50882, 77956, 50803, 53242, 50976, 54399, 51388, 60036, 51212, 50998, 51025, 51169, 51073, 51076, 51162, 51292, 51412, 53717, 53243, 51858, 54756, 56662, 77293, 50381, 63599, 57812, 55577, 51908, 54262, 50565, 66926, 61391, 77293, 50381, 63599, 57812, 50855, 53400, 50824, 50998, 51025, 51169, 51157, 51076, 51346, 51292, 51025, 52963, 59453, 55864, 54507, 51908, 51060, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 51156, 54772, 57047, 53803, 51089, 50821, 77956, 50894, 51403, 50810, 53242, 51388, 54399, 51505, 60036, 51242, 71590, 51169, 50959, 71720, 51292, 51008, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 50926, 50565, 55702, 56010, 56010, 59603, 59186, 57812, 66428, 52310, 50803, 52310, 50803, 53170, 50803, 53170, 52119, 62664, 51908, 50823, 50998, 51377, 51169, 51227, 51076, 51112, 51292, 51363, 53717, 62073, 61639, 59603, 50957, 50597, 57503, 54077, 51325, 50824, 52425, 50975, 54556, 70260, 57384, 56330, 54756, 57052, 57500, 54651, 51908, 51173, 50998, 51051, 73713, 71721, 51292, 50822, 52310, 50811, 52310, 50811, 53170, 50811, 53170, 51156, 61150, 54756, 57388, 54105, 51415, 51072, 51403, 50855, 51089, 50858, 77956, 50882, 53242, 50976, 54399, 51388, 60036, 50905, 50998, 51377, 51169, 51653, 51076, 51238, 51292, 51025, 53717, 53345, 52625, 63973, 56662, 77293, 50383, 63599, 60387, 68523, 52489, 50860, 52747, 55273, 51908, 50823, 51913, 50860, 52002, 50860, 53717, 59453, 66204, 59603, 50385, 63599, 57388, 60870, 51011, 50817, 51113, 50829, 51488, 50818, 51266, 50839, 51284, 51004, 53870, 50817, 51105, 50817, 51105, 50817, 51205, 50824, 51426, 50829, 51491, 50818, 51113, 50839, 51426, 50829, 51491, 50818, 51113, 50839, 51395, 51004, 51357, 52096, 51395, 51492, 51600, 52122, 51284, 55856, 51136, 50820, 51078, 50884, 50947, 50828, 51549, 50835, 51076, 51109, 51549, 51073, 51786, 51162, 51788, 51775, 52310, 50802, 53170, 68117, 59608, 55880, 54681, 54399, 51111, 51715, 51369, 60387, 65643, 52310, 50860, 53170, 54675, 51546, 71639, 50859, 52165, 50821, 52110, 50810, 59319, 50976, 50672, 50334, 50976, 78634, 50892, 51076, 51142, 51549, 51051, 51786, 50933, 51788, 50933, 53717, 56192, 56010, 56010, 59603, 50381, 63599, 59418, 50858, 53210, 50976, 53210, 50976, 50431, 53915, 50860, 53915, 50860, 55883, 50860, 55883, 54684, 62792, 54399, 50803, 51076, 51056, 51549, 51566, 51786, 51159, 51788, 51775, 53717, 61705, 56247, 59603, 59186, 57503, 53891, 51105, 54774, 57384, 53716, 54756, 57052, 55864, 67106, 53424, 50923, 53424, 50923, 57146, 50976, 57146, 60815, 54399, 50795, 51076, 50907, 51549, 50827, 51786, 50827, 51788, 50874, 51340, 51586, 59608, 55880, 59433, 55883, 50938, 55883, 50938, 54343, 50860, 54343, 54554, 78794, 52110, 65123, 50882, 51546, 50803, 52165, 50803, 59319, 50976, 50672, 50334, 51388, 78634, 51212, 51076, 51025, 51549, 51073, 51786, 51162, 51788, 51412, 53717, 53243, 51858, 54756, 56662, 77293, 50381, 63599, 57812, 55577, 54399, 54262, 50565, 66926, 61391, 77293, 50381, 63599, 57812, 50855, 54798, 50824, 51076, 51025, 51549, 51157, 51786, 51346, 51788, 51025 ]

[ 0, 250, 15352, 30054, 3495, 3152, 2214, 19, 10, 2842, 9, 1619, 4780, 6, 4246, 13305, 6, 6755, 12547, 6, 81, 9756, 8669, 6, 3459, 9590, 6, 8, 21072, 6, 70, 447, 561, 7, 1045, 10, 32076, 8, 20425, 5466, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 20889, 6, 19, 5, 33215, 16739, 211, 6, 83, 6, 381, 6, 83, 19983, 1328, 5, 2214, 6, 1271, 7, 63, 10132, 8, 33200, 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 ]

[ 57448, 50799, 51762, 51039, 50820, 51544, 72793, 52600, 50899, 50980, 71815, 51114, 51238, 50927, 51653, 50804, 50817, 51384, 79958, 50951, 51159, 51553, 50883, 51733, 51162, 50448, 50916, 51346, 50968, 51345, 51019, 51483, 50456, 50989, 52081, 50322, 51177, 51213, 51388, 51224, 50883, 52405, 51060, 50457, 50999, 51177, 56807, 51101, 50953, 51343, 51897, 57900, 51127, 51926, 51307, 51940, 50930, 54022, 51010, 50415, 51026, 53577, 50899, 52071, 50902, 51191, 51402, 50891, 51940, 50840, 54022, 54031, 50861, 52059, 51762, 51940, 50836, 54022, 50887, 51510, 50891, 51940, 50862, 54022, 68712, 50951, 51591, 51302, 74447, 51940, 50862, 54022, 60329, 51086, 51423, 50429, 51220, 76343, 51481, 51983, 57119, 51160, 51940, 50809, 52150, 50991, 58319, 51242, 71325, 50927, 55089, 51041, 53115, 51026, 51397, 51146, 64571, 51109, 50953, 51541, 71280, 53772, 50805, 54022, 51138, 68251, 76684, 51762, 51940, 50800, 54022, 53401, 51220, 51204, 51983, 51940, 50937, 54022, 58631, 51086, 51242, 54074, 53922, 50902, 51397, 50951, 51177, 50927, 51130, 50891, 54022, 51483, 60080, 57175, 50861, 50905, 73148, 50953, 51582, 50891, 54206, 52026, 50301, 52151, 51114, 51003, 71280, 52405, 51141, 52150, 51573, 65697, 51364, 50415, 50927, 51761, 51402, 63300, 50820, 51510, 52966, 50989, 50995, 54074, 50820, 51532, 53670, 50877, 62597, 50938, 51762, 51384, 50921, 57119, 50822, 53772, 50854, 52400, 59046, 72370, 51069, 52773, 51041, 50891, 51733, 50808, 51940, 50890, 56218, 52841, 50877, 51204, 50902, 65159, 51115, 51114, 51100, 50927, 51054, 71280, 52405, 50923, 52150, 50940, 50439, 65697, 51138, 51572, 62971, 56218, 62063, 50968, 50952, 51762, 51733, 50830, 51940, 53401, 50902, 50936, 51983, 51384, 51215, 53772, 50901, 52400, 61208, 50989, 51328, 51069, 53474, 51041, 60752, 56218, 51480, 50453, 50877, 51623, 50902, 69730, 51933, 50927, 51594, 50891, 51940, 51215, 50454, 51733, 51175, 51453, 54359, 51019, 50859, 51983, 56310, 51448, 51028, 51538, 71280, 51905, 51364, 57119, 50983, 51770, 51364, 50415, 51011, 51274, 51402, 53738, 50916, 51642, 51762, 51510, 52966, 51040, 51423, 54074, 50820, 51532, 62000, 51905, 50830, 51361, 50820, 51770, 50813, 57119, 59628, 50916, 60234, 59755, 51019, 53672, 51041, 50891, 51384, 50812, 53772, 51008, 52400, 53813, 51027, 51878, 50877, 51749, 71280, 51733, 51060, 52400, 50841, 56218, 51100, 51940, 50940, 50439, 50951, 51204, 51011, 51541, 51572, 62971, 53772, 54746, 50916, 51233, 51762, 51384, 50830, 52400, 53401, 50968, 51204, 51983, 51905, 50806, 51770, 50830, 57119, 51021, 51382, 51041, 55223, 51040, 60489, 51028, 51346, 51983, 51926, 51160, 54022, 51483, 60080, 51427, 50454, 51019, 53685, 50916, 51074, 73148, 51011, 50840, 51983, 50461, 52405, 51336, 52150, 51870, 65697, 51356, 54852, 51417, 51027, 51637, 50899, 51619, 50322, 50981, 74235, 51897, 58010, 52639, 50989, 51199, 50999, 51203, 54074, 53943, 51114, 51309, 50927, 64271, 52975, 70798, 51271, 50859, 51230, 52418, 55135, 50902, 50864, 51817, 50940, 51224, 53294, 75640, 51114, 51043, 50899, 60946, 51110, 51027, 51310, 54074, 50820, 51384, 51460, 50439, 51271, 51167, 50441, 51224, 53675, 50989, 51100, 51289, 55551, 50877, 51191, 50951, 51060, 50968, 60946, 50839, 68584, 55525, 60008, 50891, 51733, 51286, 50451, 50899, 51790, 50453, 50927, 68750, 50968, 50829, 51114, 51160, 50902, 50839, 52405, 51460, 50456, 51019, 53703, 52586, 60008, 62662, 50989, 78970, 51213, 50940, 51755, 51041, 57900, 50943, 51926, 51307, 50415, 51026, 52151, 50902, 53380, 50973, 50983, 50951, 51413, 50953, 51343, 54022, 51010, 51940, 50949, 51402, 70637, 51940, 50895, 54022, 50890, 51039, 50820, 51940, 69388, 54022, 71581, 50891, 51940, 50809, 54022, 53150, 51086, 51592, 54074, 50820, 51940, 50840, 54022, 74219, 50891, 52150, 50967, 57119, 51175, 58319, 51753, 71325, 50973, 51642, 50927, 54405, 51041, 53115, 50899, 51177, 68580, 71280, 53772, 50805, 54022, 51138, 68251, 68622, 51762, 51940, 50880, 54022, 55761, 50973, 50937, 51983, 51940, 50917, 54022, 50948, 50448, 50951, 50977, 56279, 51742, 54074, 53922, 50973, 51328, 51114, 50829, 50953, 51421, 62476, 50951, 51346, 54022, 51483, 60080, 51160, 51453, 57620, 50861, 59097, 51011, 51582, 56772, 52405, 50983, 56310, 52151, 50877, 73412, 50995, 71280, 65697, 51364, 52150, 51541, 50415, 50927, 51552, 51402, 63300, 50820, 51510, 52966, 50989, 52256, 54074, 50820, 51532, 53670, 50877, 51343, 51762, 51384, 50940, 53772, 50812, 52400, 59046, 50902, 51203, 51069, 53243, 51041, 50891, 51733, 50808, 56218, 50812, 51940, 53813, 50899, 51177, 50927, 51379, 71280, 52405, 50923, 52150, 50921, 65697, 51138, 50439, 51114, 51121, 51572, 62971, 51733, 54630, 50968, 51095, 50989, 51423, 51762, 56218, 50955, 51940, 58181, 50902, 51060, 77466, 51983, 51384, 50967, 53772, 50987, 52400, 50936, 56279, 50845, 54074, 53922, 79725, 50968, 51692, 51213, 50950, 51983, 53772, 51500, 54022, 50993, 60219, 62962, 51733, 70854, 50989, 50959, 73148, 50953, 51508, 50891, 56310, 51283, 50877, 51183, 50999, 51448, 51040, 51381, 51028, 51141, 51011, 51291, 71280, 51905, 51364, 57119, 51294, 52150, 51541, 51402, 63300, 50820, 51510, 50891, 80164, 55477, 50916, 51333, 51532, 62000, 51733, 59099, 51040, 50995, 51762, 51770, 50858, 51940, 69740, 51028, 51391, 51019, 54005, 51041, 50891, 52405, 51014, 52150, 50887, 52400, 52877, 51027, 51318, 50877, 52069, 50951, 51148, 51011, 51541, 71280, 51926, 50879, 51940, 50849, 54022, 50893, 68251, 50916, 51097, 51762, 52405, 50940, 52150, 50987, 52400, 50880, 51618, 50891, 51733, 50893, 51770, 51204, 51940, 50795, 50448, 50968, 51411, 51382, 51041, 55223, 51040, 50955, 50453, 51028, 51255, 51983, 51905, 51160, 52232, 51235, 50454, 73491, 51453, 54359, 51011, 50897, 51983, 50461, 51384, 51115, 56310, 51535, 50899, 51295, 50902, 51191, 51114, 51446, 71280, 52400, 51419, 51478, 51115, 50415, 50927, 51552, 51402, 63300, 50820, 51510, 52966, 50989, 76998, 52586, 58245, 50999, 50981, 50429, 71363, 50431, 52405, 50940, 52150, 51623, 50432, 51553, 65109, 50877, 51742, 51019, 56966, 51224, 50883, 51733, 50878, 50436, 51213, 52877, 51027, 51191, 50916, 51351, 51028, 50918, 50968, 51077, 55525, 60008, 50891, 52487, 51675, 51905, 57270, 51011, 51356, 65697, 51527, 56310, 53413, 50899, 53454, 50927, 51184, 55525, 60008, 50369, 51367, 51183, 69724, 51381, 50429, 50877, 51680, 57267, 53674, 50902, 51965, 50439, 50951, 51115, 57126, 51452, 51814, 50952, 50416, 50999, 58793, 51146, 75177, 51430, 52710, 51787, 75104, 51430, 52559, 51146, 59046, 51220, 52599, 50999, 56442, 51114, 60835, 50968, 54672, 50902, 51757, 50973, 58639, 50877, 52935, 50989, 53898, 50459, 50916, 50836, 54852, 51145, 51120, 51518, 50899, 51696, 57025, 51447, 50439, 50902, 51115, 60027, 50932, 58540, 50854, 51027, 51351, 51315, 51189, 51040, 50942, 50417, 50916, 50983, 57340, 51112, 50423, 50973, 57818, 51028, 51056, 51040, 63455, 50973, 51351, 63174, 51253, 50435, 50916, 59577, 51315, 51189, 51027, 51191, 50442, 50916, 50807, 50445, 80239, 50448, 50973, 57465, 51028, 51710, 50305, 50943, 50454, 50973, 50917, 50457, 50877, 57264, 50989, 50836, 57844, 51517, 50296, 51446, 50861, 51189, 51266, 51080, 50415, 50916, 51446, 51817, 51336, 64401, 51095, 50427, 51026, 51353, 50968, 68486, 50973, 67502, 51086 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 11, 230, 3694, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 22052, 6, 3459, 8669, 6, 9590, 6, 8, 1515, 21305, 4, 20, 15229, 7630, 6568, 10, 19448, 8, 5679, 26709, 5466, 19, 17878, 9, 15073, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 24536, 10, 33215, 16739, 9, 272, 6, 230, 119, 6, 272, 119, 406, 6, 211, 119, 406, 428, 245, 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 ]

[ 57448, 50876, 51671, 50931, 52071, 51147, 53142, 50964, 51391, 59610, 56599, 65574, 63309, 54884, 61017, 51607, 73840, 50365, 51937, 69572, 53004, 51270, 50365, 51937, 69572, 69803, 52580, 55321, 70298, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 50945, 68607, 70070, 59393, 52788, 50945, 51172, 53370, 51312, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 50964, 65849, 50365, 51937, 72126, 59393, 62970, 53733, 70652, 51383, 72126, 59393, 61243, 56833, 63309, 55435, 52222, 51096, 51003, 53949, 50905, 53733, 63309, 56648, 56599, 54511, 55490, 52327, 51896, 50801, 50365, 51937, 69572, 53004, 76242, 53511, 50972, 51270, 50365, 51937, 69572, 69803, 53591, 51028, 53950, 75032, 53370, 51642, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 76533, 59372, 55321, 50838, 51270, 70070, 59393, 52788, 51399, 51291, 50945, 51221, 53949, 54532, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 51096, 50812, 52327, 51238, 50801, 50365, 51937, 72126, 59393, 53176, 62536, 51383, 72126, 59393, 61243, 54924, 55586, 58943, 54573, 50702, 50298, 54573, 53975, 52071, 50964, 51204, 53949, 50977, 56648, 53486, 52257, 51894, 50801, 50365, 51937, 69572, 53004, 61496, 53511, 51058, 51270, 50365, 51937, 69572, 69803, 53591, 50968, 52450, 69084, 53370, 51277, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 63302, 76533, 63657, 55321, 50974, 51270, 70070, 59393, 52788, 50951, 51391, 51062, 51204, 50953, 51203, 53949, 51411, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 67599, 54924, 58307, 50365, 51937, 72126, 59393, 53176, 51383, 72126, 59393, 61243, 56490, 51000, 54578, 52025, 50945, 50889, 53370, 51447, 59610, 73728, 54884, 71620, 65574, 73728, 52043, 51896, 51836, 77598, 50365, 51937, 69572, 53004, 51270, 50365, 51937, 69572, 69803, 52580, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 77936, 61196, 51325, 64537, 70070, 59393, 53720, 51001, 53614, 71436, 69017, 53733, 52503, 52541, 64269, 50365, 52638, 69572, 55608, 50876, 54682, 69195, 64542, 50945, 52476, 50592, 69572, 54043, 61825, 51019, 59038, 67364, 50927, 50984, 51105, 50854, 51607, 52218, 50365, 51937, 72126, 59393, 55371, 50861, 51832, 51228, 54900, 50989, 51022, 51669, 52476, 50592, 72126, 59393, 54529, 70795, 54594, 51679, 50964, 51134, 52327, 51623, 51946, 51714, 50801, 50365, 51937, 69572, 53004, 51270, 50365, 51937, 69572, 69803, 52580, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 50871, 55100, 66457, 50861, 51269, 50945, 64537, 70070, 59393, 52788, 51019, 52218, 50365, 52638, 69572, 53086, 61197, 51451, 50952, 51383, 69572, 52989, 67518, 50945, 56029, 50365, 51937, 72126, 59393, 62970, 51451, 58045, 51105, 50827, 51019, 56838, 51228, 50838, 50927, 50907, 51451, 64491, 72126, 59393, 50827, 54197, 51878, 50964, 51204, 51515, 51204, 51256, 69026, 50365, 51937, 69572, 53004, 50900, 51391, 51270, 50365, 51937, 69572, 69803, 64560, 51366, 55797, 70836, 62144, 59621, 50365, 51610, 77341, 66622, 64274, 64274, 62763, 51209, 54056, 50876, 50974, 50431, 51256, 53911, 50965, 51852, 50964, 50844, 51929, 58678, 70070, 59393, 64520, 51674, 56509, 51315, 53577, 50945, 50915, 51607, 74749, 50365, 52638, 69572, 53086, 50916, 51961, 51383, 69572, 54043, 50965, 50972, 50449, 51209, 52843, 50876, 66223, 50365, 51937, 72126, 59393, 55371, 50965, 51387, 50454, 51408, 54166, 50964, 65442, 72126, 59393, 65241, 51674, 50855, 55435, 55490, 50953, 51097, 51773, 51294, 51590, 54874, 50365, 51937, 69572, 64936, 51334, 50942, 61683, 53866, 51408, 51490, 51270, 50365, 51937, 69572, 69803, 53591, 50871, 53866, 56207, 52980, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 51028, 53387, 63657, 52361, 70159, 70070, 59393, 53720, 50931, 52788, 51028, 53280, 50964, 51391, 52043, 50822, 52327, 70353, 50365, 52638, 69572, 53086, 51383, 69572, 52989, 50801, 50365, 51937, 72126, 59393, 50827, 50452, 51408, 52485, 50964, 50854, 51334, 50378, 52272, 72126, 59393, 54529, 51934, 50887, 54955, 51627, 51096, 51241, 51607, 73841, 50365, 51937, 69572, 64936, 51334, 70628, 50997, 51542, 54569, 60138, 51108, 51270, 50365, 51937, 69572, 69803, 64560, 51408, 78768, 50861, 51534, 60564, 54754, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 50902, 58779, 51408, 58672, 51096, 50810, 52043, 64537, 70070, 59393, 64520, 51590, 50854, 51408, 57481, 51378, 51637, 51040, 53674, 50916, 53674, 50861, 52136, 51028, 51218, 63048, 51607, 51446, 51334, 51481, 50801, 50365, 52638, 69572, 53086, 51383, 69572, 63107, 51408, 58238, 50964, 58679, 50365, 51937, 72126, 59393, 55371, 51547, 52485, 51209, 79913, 72126, 59393, 61243, 51408, 50892, 54197, 52519, 50964, 51391, 52327, 53305, 50365, 51937, 69572, 73616, 51674, 51115, 56440, 51203, 50965, 51116, 77195, 51270, 50365, 51937, 69572, 69803, 52580, 51836, 51267, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 77559, 50906, 53911, 63635, 51607, 64537, 70070, 59393, 62551, 52541, 51452, 63451, 53674, 50900, 52256, 50871, 52256, 50965, 52256, 50945, 51852, 54050, 62695, 50365, 52638, 69572, 53086, 51590, 58514, 69572, 63107, 51334, 57006, 50801, 50365, 51937, 72126, 59393, 50827, 50452, 51334, 55433, 50945, 50378, 52638, 72126, 59393, 63652, 51408, 50840, 53997, 51397, 50964, 50915, 51607, 51013, 51408, 56525, 50365, 51937, 69572, 53004, 50900, 51218, 51674, 68639, 50365, 51937, 69572, 69803, 63074, 52541, 50807, 51674, 50855, 53645, 51679, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 54889, 51209, 54860, 50965, 51645, 67599, 51515, 68195, 70070, 59393, 63221, 51209, 56509, 51360, 52598, 51228, 50807, 51607, 50983, 53064, 70812, 50365, 52638, 69572, 53086, 51040, 51542, 51383, 69572, 54043, 50871, 51074, 50449, 51256, 52800, 50801, 50365, 51937, 72126, 59393, 55371, 50965, 50907, 51366, 62802, 51996, 64713, 67558, 51228, 50859, 51256, 50845, 51383, 72126, 59393, 50827, 54868, 53866, 50927, 50915, 51607, 51013, 51946, 51486, 51674, 69237, 50365, 51937, 69572, 53004, 51027, 51592, 51209, 51412, 51270, 50365, 51937, 69572, 69803, 53591, 50899, 51333, 54439, 66223, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 60714, 52043, 64537, 70070, 59393, 53720, 50861, 52136, 59419, 54211, 50876, 52256, 58237, 52043, 69561, 50365, 52638, 69572, 75396, 51209, 60825, 69021, 51408, 79695, 69572, 52989, 50964, 59621, 50365, 51937, 72126, 59393, 62970, 52032, 51933, 51408, 53920, 51674, 50378, 52638, 72126, 59393, 54529, 51026, 52519, 55435, 54211, 50899, 51961, 50871, 51961, 50861, 58898, 50906, 51637, 50902, 51115, 50931, 51218, 50964, 51679, 51434, 51204, 51674, 56525, 50365, 51937, 69572, 53004, 51209, 51312, 51270, 50365, 51937, 69572, 69803, 52580, 50801, 50365, 51610, 77341, 66622, 64274, 64274, 52739, 50964, 50822, 51607, 50859, 51256, 57287, 70070, 59393, 52788, 51378, 52136, 51040, 52136, 50916, 53577, 50945, 51172, 51607, 51351, 51836, 51562, 50801, 50365, 52638, 69572, 66143, 51256, 61255, 51366, 51775, 51383, 69572, 52989, 50861, 52511, 50314, 52104, 50317, 52511, 50320, 51074, 50964, 54874, 50365, 51937, 72126, 59393, 68926, 51209, 54622, 51383, 72126, 59393, 64224, 51256, 50933, 54197, 57232, 51176, 61017, 50900, 61017, 50964, 51310, 51515, 78811, 50365, 51937, 69572, 50827, 50416, 51209, 58879, 62094, 60256, 50951, 50374, 51937, 50365 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 765, 15229, 11, 230, 538, 7630, 6568, 10, 1472, 9, 9733, 8, 814, 4, 20, 12280, 3275, 1725, 3109, 6, 6168, 3540, 6, 8, 24896, 45552, 833, 7, 1045, 10, 13363, 28191, 33301, 6, 278, 136, 10, 11379, 9, 15073, 8, 9066, 2821, 16235, 4, 590, 10, 7212, 20889, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 30853, 19, 10, 9550, 11564, 6, 10346, 30, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 230, 6, 272, 6, 8, 274, 10431, 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 ]

[ 80054, 52249, 51066, 54019, 51066, 52292, 63398, 52142, 51066, 52795, 60920, 51951, 50817, 52740, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 52795, 51059, 52573, 62819, 54113, 51066, 52740, 63284, 52203, 55276, 52142, 50817, 52307, 51066, 52292, 51066, 50440, 54113, 54129, 52142, 50976, 51034, 51951, 51066, 52307, 51029, 53296, 62819, 52142, 51066, 52550, 64631, 54113, 51066, 52882, 51066, 55411, 51066, 51034, 52142, 50860, 52307, 51029, 53571, 58823, 51951, 54675, 52142, 54684, 54113, 55276, 52142, 50860, 52795, 51066, 59988, 63523, 51951, 50860, 51034, 52249, 51066, 54019, 51066, 53571, 63398, 52142, 51066, 52795, 73018, 51951, 50817, 55342, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 55061, 68107, 53602, 54675, 54113, 51066, 54019, 50860, 55342, 63284, 54650, 55276, 52142, 51066, 56496, 51066, 53571, 51066, 51034, 51951, 51066, 61513, 50860, 57354, 68107, 56496, 54675, 52142, 51066, 56496, 51066, 55411, 60920, 54113, 51066, 60856, 51066, 51034, 52142, 50817, 56496, 51407, 53571, 51066, 50416, 54113, 55265, 52142, 51407, 50426, 53249, 64631, 53571, 51066, 51034, 52249, 51066, 54019, 51066, 52292, 63398, 52142, 51066, 52795, 60920, 51951, 50817, 52740, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 52795, 51059, 52573, 62819, 54113, 51066, 52740, 63284, 52203, 55276, 52142, 50817, 52307, 51066, 52292, 51066, 50440, 54113, 54129, 52142, 50976, 51034, 51951, 51066, 52307, 51029, 53296, 62819, 52142, 51066, 52550, 64631, 54113, 51066, 52882, 51066, 55411, 51066, 51034, 52142, 50860, 52307, 51029, 53571, 58823, 51951, 54675, 52142, 54684, 54113, 55276, 52142, 50860, 52795, 51066, 59988, 63523, 51951, 50860, 51034, 52249, 51066, 54019, 51066, 53571, 63398, 52142, 51066, 52795, 73018, 51951, 50817, 55342, 51066, 50440, 52142, 54129, 51951, 50976, 51034, 52249, 51066, 55061, 68107, 53602, 54675, 54113, 51066, 54019, 50860, 55342, 63284, 54650, 55276, 52142, 51066, 56496, 51066, 53571, 51066, 51034, 51951, 51066, 61513, 50860, 57354, 68107, 56496, 54675, 52142, 51066, 56496, 51066, 55411, 60920, 54113, 51066, 60856, 51066, 51034, 52142, 51059, 56496, 51407, 59988, 51407, 50432, 51951, 55276, 52142, 56059, 54113, 50860, 51034, 52780, 51066, 52614, 51066, 52292, 63398, 54113, 50817, 52203, 51066, 50428, 52780, 54396, 54113, 61147, 52142, 51066, 52307, 51066, 52292, 51066, 51034, 54113, 51066, 52203, 51066, 52292, 63398, 51951, 51066, 52795, 64631, 54113, 51066, 52203, 51066, 52740, 51066, 51034, 52142, 51066, 52307, 51066, 52292, 62819, 51951, 50817, 52795, 51066, 52740, 51066, 50428, 52142, 54396, 51951, 61147, 52249, 51066, 54577, 50860, 52573, 63523, 52494, 50860, 51034, 51951, 51066, 52882, 51066, 52550, 51407, 50426, 52130, 51066, 54650, 64631, 51951, 51066, 60856, 51066, 51034, 52249, 51066, 61513, 51066, 52550, 62819, 51951, 50860, 56496, 51066, 53895, 61511, 52249, 55276, 52130, 50860, 54650, 63523, 51967, 50860, 51034, 52130, 50860, 54650, 50860, 52550, 58823, 52249, 50860, 54019, 54675, 52130, 50860, 54650, 54684, 51967, 50860, 56496, 55276, 52130, 50860, 54650, 50860, 53296, 63523, 52064, 50860, 60856, 50860, 51034, 52249, 51029, 56496, 50860, 53249, 56111, 52494, 50860, 53296, 54675, 52795, 50860, 53249, 54684, 53602, 50860, 53029, 55276, 52249, 50817, 52795, 50860, 53249, 74164, 51951, 54129, 52249, 52940, 52130, 50811, 54019, 50860, 53571, 61443, 52249, 50811, 51034, 51951, 51059, 54650, 50860, 55342, 56111, 54019, 50860, 53571, 54675, 54650, 50860, 55342, 54684, 52142, 50860, 56496, 50860, 55061, 55276, 51951, 50860, 54650, 50860, 55342, 56059, 54113, 50860, 60856, 50860, 55411, 50860, 51034, 52142, 50817, 56496, 51066, 53571, 50860, 50416, 54113, 55265, 51951, 63853, 57354, 54675, 51951, 50817, 56496, 51066, 55411, 51029, 50428, 52142, 54396, 51951, 60920, 60856, 51066, 51034, 52249, 50860, 56496, 51029, 53571, 51407, 50420, 52130, 54675, 52249, 54684, 51951, 55276, 52142, 50860, 52795, 63523, 54113, 50860, 51034, 52780, 51066, 52614, 51066, 52292, 63398, 54113, 50817, 52203, 51066, 50428, 52780, 54396, 54113, 61147, 52142, 51066, 52307, 51066, 52292, 51066, 51034, 54113, 51066, 52203, 51066, 52292, 63398, 51951, 51066, 52795, 64631, 54113, 51066, 52203, 51066, 52740, 51066, 51034, 52142, 51066, 52307, 51066, 52292, 62819, 51951, 50817, 52795, 51066, 52740, 51066, 50428, 52142, 54396, 51951, 61147, 52249, 51066, 54577, 50860, 52573, 63523, 52494, 50860, 51034, 51951, 51066, 52882, 51066, 52550, 51407, 50426, 52130, 51066, 54650, 64631, 51951, 51066, 60856, 51066, 51034, 52249, 51066, 61513, 51066, 52550, 62819, 51951, 50860, 56496, 51066, 53895, 61511, 52249, 55276, 52130, 50860, 54650, 63523, 51967, 50860, 51034, 52130, 50860, 54650, 50860, 52550, 58823, 52249, 50860, 54019, 54675, 52130, 50860, 54650, 54684, 51967, 50860, 56496, 55276, 52130, 50860, 54650, 50860, 53296, 63523, 52064, 50860, 60856, 50860, 51034, 52249, 51029, 56496, 50860, 53249, 56111, 52494, 50860, 53296, 54675, 52795, 50860, 53249, 54684, 53602, 50860, 53029, 55276, 52249, 50817, 52795, 50860, 53249, 74164, 51951, 54129, 52130, 56059, 54019, 50860, 53571, 61443, 52249, 50811, 51034, 51951, 51059, 54650, 50860, 55342, 56111, 54019, 50860, 53571, 54675, 54650, 50860, 55342, 54684, 52142, 50860, 56496, 50860, 55061, 55276, 51951, 50860, 54650, 50860, 55342, 56059, 54113, 50860, 60856, 50860, 55411, 50860, 51034, 52142, 50817, 56496, 51066, 53571, 50860, 50416, 54113, 55265, 51951, 63853, 57354, 54675, 51951, 51029, 56496, 51066, 55411, 60920, 60856, 51066, 51034, 52249, 50860, 54019, 51066, 53571, 68107, 51951, 54675, 52130, 50860, 53602, 51066, 53029, 63284, 52249, 55276, 52249, 50860, 52795, 51066, 53249, 63523, 52130, 55059, 52249, 50811, 51034, 51951, 50860, 52494, 50860, 53296, 56111, 52142, 50860, 52795, 50860, 52550, 54675, 52249, 50860, 53602, 50860, 52573, 63284, 52142, 50860, 52795, 55276, 51951, 50860, 52795, 51029, 52740, 63523, 52142, 55059, 54113, 50811, 51034, 52142, 50860, 52292, 56111, 51951, 50817, 52494, 50860, 53296, 63541, 52142, 53578, 54113, 60517, 51951, 52038, 50626, 52307, 51066, 52550, 63284, 52142, 55276, 50625, 51951, 50811, 52882, 51066, 55411, 51066, 50441, 52142, 52940, 51951, 55059, 52249, 50811, 51034, 50624, 52249, 51407, 52307, 51407, 53571, 51407, 77718, 50438, 50623, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 12298, 15855, 2125, 19, 11057, 16882, 6, 42, 765, 2214, 1931, 21683, 1619, 9450, 149, 63, 1372, 34879, 4, 2595, 10312, 30, 41, 12547, 9, 13305, 6, 17691, 28430, 6, 2020, 3548, 6, 326, 5638, 18026, 6, 8, 31391, 1672, 9590, 6, 24, 11498, 10, 20902, 27841, 3006, 11332, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 24, 1575, 10, 33215, 13931, 9, 2060, 119, 6, 272, 119, 6, 230, 119, 406, 6, 274, 119, 406, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50645, 50903, 76660, 51003, 60859, 50932, 50422, 51947, 51091, 51968, 51091, 52377, 51226, 51768, 76660, 50932, 51968, 50849, 51866, 50849, 52194, 51798, 50903, 51003, 51968, 51060, 51866, 51060, 54006, 51173, 55609, 51091, 61237, 51022, 51248, 52054, 50810, 51503, 51255, 78317, 50984, 52131, 50822, 55627, 64936, 51891, 50854, 51866, 51264, 52194, 51264, 53397, 51696, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 50904, 52131, 51126, 78317, 50870, 51891, 58608, 52066, 63370, 69561, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 52131, 67941, 51891, 52800, 52068, 68526, 50956, 57035, 50910, 75729, 51891, 50813, 55627, 50904, 52131, 50904, 78317, 73706, 52066, 52814, 56834, 78317, 51252, 55609, 51091, 79029, 51503, 51351, 55627, 51252, 52131, 50971, 51891, 65643, 52173, 51852, 50423, 51947, 51091, 51968, 51091, 52377, 51362, 51544, 64312, 50942, 50956, 57035, 63748, 50925, 55627, 50864, 51891, 50828, 54063, 50987, 50427, 78317, 50870, 52131, 56512, 52066, 52857, 51074, 63370, 67839, 57546, 51197, 51003, 54063, 50974, 50439, 78317, 50971, 55627, 50941, 52131, 50867, 51891, 50862, 51968, 50901, 51866, 50901, 52194, 72143, 52814, 50864, 52624, 50972, 51955, 62445, 50900, 52434, 50307, 50955, 50871, 71901, 50937, 52131, 51126, 78317, 50941, 55627, 50941, 50451, 51891, 50862, 52933, 51797, 51968, 51101, 51866, 51101, 54006, 51121, 50458, 52066, 52814, 57490, 51802, 50827, 55609, 51204, 79029, 51503, 51255, 78317, 50984, 52131, 50822, 55627, 64936, 51891, 50854, 51866, 51353, 52194, 51353, 53397, 51307, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 50904, 52131, 51126, 78317, 50870, 51891, 58608, 52066, 55545, 68393, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 52131, 67941, 51891, 52800, 52068, 68526, 50956, 57035, 50910, 75729, 51891, 50813, 55627, 50904, 52131, 50904, 78317, 73706, 52066, 52814, 56834, 78317, 51252, 55609, 51191, 79029, 51503, 51351, 55627, 51252, 52131, 50971, 51891, 56133, 51947, 51294, 51968, 51294, 52377, 51226, 51544, 64312, 50942, 50956, 57035, 63748, 50925, 55627, 50864, 51891, 50828, 57501, 51535, 50427, 78317, 50870, 52131, 56512, 52066, 55545, 68393, 57546, 51197, 51003, 50439, 78317, 50971, 55627, 50941, 52131, 50867, 51891, 50862, 51968, 50987, 51866, 50987, 52194, 50937, 50446, 52814, 50864, 70775, 51051, 50449, 57501, 51142, 51955, 62445, 50900, 52434, 50307, 50955, 50871, 71901, 50937, 52131, 51126, 78317, 50941, 55627, 50941, 50451, 51891, 50862, 51968, 50938, 51866, 50938, 54006, 50924, 50452, 55915, 51174, 50458, 52066, 52814, 50867, 55609, 51204, 79029, 51503, 51255, 78317, 50984, 52131, 50822, 55627, 64936, 51891, 50854, 50416, 51866, 51413, 52194, 51413, 53397, 51291, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 50904, 52131, 51126, 78317, 50870, 51891, 58608, 52066, 55545, 68393, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 52131, 67941, 51891, 50813, 51968, 51115, 51866, 51115, 52194, 69830, 52068, 68526, 50956, 57035, 50910, 75729, 51891, 50813, 55627, 50904, 52131, 50904, 78317, 73706, 52066, 52814, 56834, 78317, 51252, 55609, 51191, 79029, 51503, 51351, 55627, 51252, 52131, 50971, 51891, 79171, 51947, 51218, 51968, 51218, 52377, 50983, 50421, 52173, 51852, 51544, 64312, 50942, 50956, 57035, 63748, 50925, 55627, 50864, 51891, 50828, 54063, 50987, 50427, 78317, 50870, 52131, 56512, 52066, 52857, 51074, 55545, 68393, 57546, 51197, 51003, 54063, 50974, 50439, 78317, 50971, 55627, 50941, 52131, 50867, 51891, 67635, 51968, 50983, 51866, 50983, 52194, 51343, 50446, 52814, 50864, 52624, 50972, 51955, 62445, 50900, 52434, 50307, 50955, 50871, 71901, 50937, 52131, 51126, 78317, 50941, 55627, 50941, 50451, 51891, 50862, 52933, 51797, 50458, 52066, 52814, 57490, 51802, 64224, 52701, 52045, 51702, 52045, 52178, 54484, 54983, 51191, 79029, 51234, 51255, 73541, 51365, 52814, 51058, 53937, 50933, 50415, 53416, 63980, 52186, 51058, 51544, 50810, 51176, 50942, 73766, 51040, 50897, 50871, 50937, 52549, 51481, 50427, 53937, 50851, 52814, 50864, 53416, 50833, 73541, 70301, 52066, 51802, 51254, 55511, 53305, 57546, 51247, 51351, 53937, 51376, 73541, 51524, 52814, 51051, 55360, 51534, 50440, 53416, 71095, 52624, 72887, 52068, 51176, 50925, 50997, 80021, 50910, 70252, 53937, 50912, 51802, 51534, 50451, 52814, 50874, 73541, 51319, 53416, 63181, 52066, 52549, 51008, 54293, 51141, 79029, 52046, 51255, 69422, 51365, 51707, 51058, 53937, 50933, 52549, 62833, 53416, 50878, 50421, 52549, 50892, 51544, 50810, 51026, 50942, 73766, 51040, 50897, 50871, 50937, 51784, 51470, 50427, 53937, 50851, 51707, 50864, 53416, 50833, 69422, 57378, 52549, 68232, 52066, 55511, 68393, 57546, 51234, 51351, 53937, 51376, 69422, 51524, 51707, 51051, 51784, 54298, 50439, 52701, 50893, 51866, 50893, 52194, 50911, 50440, 53416, 71703, 52186, 51172, 53526, 51022, 51955, 53119, 59280, 51026, 50925, 50997, 80021, 50910, 70252, 53937, 75030, 51707, 50874, 69422, 51319, 53416, 50854, 52701, 51233, 51866, 51233, 52178, 51194, 50458, 52066, 55609, 51141, 79029, 51503, 51255, 78317, 51000, 52131, 50874, 55627, 50904, 51891, 64982, 51947, 51591, 51968, 51591, 52377, 51358, 50422, 55915, 51534, 51544, 64312, 50942, 50956, 60094, 50897, 50965, 70846, 55627, 51000, 52131, 50837, 51891, 50836, 78317, 71879, 53993, 62743, 52066, 55360, 51254, 63370, 68393, 57546, 51197, 51351, 78317, 51319, 55627, 51000, 52131, 50941, 52857, 51481, 50439, 51891, 58171, 52933, 60649, 52068, 68526, 50956, 57035, 50910, 75729, 52131, 50864, 55627, 50941, 51802, 52482, 50451, 78317, 50928, 51891, 50855, 51947, 50892, 51968, 50892, 52377, 73119, 52066, 52173, 51008, 55609, 51191, 79029, 51503, 51255, 78317, 50984, 53154, 50822, 55627, 64936, 51891, 50854, 51968, 50983, 52698, 50983, 52194, 51274, 51544, 64312, 50942, 71430, 50989, 50897, 50906, 70846, 55627, 50904, 53154, 51126, 78317, 50870, 51891, 58608, 52066, 56618, 53305, 57546, 51197, 51351, 78317, 51126, 55627, 51126, 53154, 67941, 51891, 62384, 52698, 50967, 52194, 50967, 53397, 51167, 51955, 62445, 68526, 50956, 63772, 50910, 66734, 51891, 50813, 55627, 50904, 53154, 50904, 78317, 79626, 52698, 50795, 52194, 50795, 53397, 75642, 52066, 52391, 50825, 63065, 51141, 79029, 51360, 51255, 72573, 51365, 52391, 51058, 54136, 50933, 50415, 52879, 50878, 50416, 51702, 50983, 52377, 50983, 53397, 51274, 51544, 76869, 50942, 51040, 60094, 50897, 50965, 70846, 54136, 50851, 52391, 50864, 52879, 50833, 72573, 70301, 52066, 50435, 51702, 51623, 52377, 51991, 54006, 52392, 51272, 50300, 68393, 57546, 51503, 51351, 54136, 51376, 72573, 51524, 52391, 51051, 50440, 52879, 54823, 52068, 50997, 50925, 51040, 57035, 50910, 75729, 54136, 75030, 52391, 50874, 72573, 51319, 52879, 63181, 52066, 63065, 51191, 79029, 51360, 51255, 72573, 51000, 54136, 50941, 52391, 50874, 52384, 51204, 50415, 52850, 50941, 52824, 51337, 50423, 52926, 51006, 51544, 76869, 50942, 51040, 50844, 70489, 50965, 70846, 54136, 50941, 52391, 50904, 72573, 51000, 52850, 59062, 52066, 52824, 51277, 56618, 69561, 57546, 51503, 51351, 72573, 50984, 50439, 52391, 50827, 54136, 50907, 52926, 51753, 52384, 50795, 52377, 50795, 52194, 50806, 50440, 52850, 50886, 53526, 65932, 54246, 50972, 51955, 53119, 59280, 50997 ]

[ 0, 713, 8787, 3152, 8, 5175, 24904, 2125, 6, 278, 11, 230, 538, 6, 30853, 23, 10, 2635, 20889, 9, 7004, 13410, 228, 2289, 4, 6208, 38645, 8, 3459, 29589, 6, 3741, 27374, 594, 6, 6755, 12547, 6, 8, 13305, 35810, 561, 7, 1045, 10, 5797, 990, 1506, 9, 2933, 8, 15352, 30054, 23225, 6, 19, 12577, 17878, 9, 11098, 6, 657, 6, 8, 26545, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 6942, 9, 5, 272, 6, 272, 119, 1176, 406, 6, 272, 406, 6, 8, 12608, 73, 534, 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 ]

[ 57448, 50456, 51725, 52136, 51207, 52136, 50986, 52136, 50929, 52136, 51032, 52136, 54272, 74899, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 57524, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 55659, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 59837, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 56989, 51725, 51074, 51207, 51074, 72641, 78445, 51032, 59435, 51451, 52382, 51209, 52382, 51590, 52382, 51725, 52136, 51207, 52136, 50986, 52136, 50929, 52136, 51076, 52136, 54272, 74899, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 57524, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 55659, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 59837, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 56989, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 59435, 51725, 51074, 51207, 51074, 72641, 78445, 51076, 51074, 50799, 53046, 51605, 51725, 53588, 51133, 51795, 50426, 52000, 50795, 51366, 50795, 51408, 50795, 51246, 51074, 73903, 51064, 57524, 52000, 50795, 51366, 50795, 51408, 50795, 51246, 51074, 73903, 51064, 55659, 52000, 50795, 51366, 50795, 51674, 50795, 51246, 51074, 73903, 51169, 59837, 52000, 50807, 51366, 50807, 51209, 50807, 51246, 51333, 50998, 51333, 50929, 69173, 53046, 51161, 53008, 51161, 51451, 51161, 51772, 51161, 51674, 51161, 50986, 52136, 51136, 52136, 51169, 52136, 51725, 52528, 51133, 51352, 55746, 72641, 51136, 51074, 51169, 57524, 72641, 51136, 51074, 51169, 55659, 72641, 51136, 51074, 51169, 59837, 53046, 50795, 51725, 51074, 51133, 52175, 53046, 50795, 51725, 56515, 51133, 52325, 53046, 51036, 51830, 50807, 51322, 50807, 51207, 51333, 50960, 51333, 50964, 51184, 52591, 51830, 50795, 51366, 50795, 51207, 51074, 73903, 50929, 55752, 51830, 51358, 51366, 51358, 51209, 51358, 51229, 51358, 51207, 51074, 73903, 50929, 57524, 51207, 51333, 50998, 51333, 50929, 51333, 50947, 67302, 51207, 51074, 73903, 78445, 50947, 56989, 51207, 51074, 73903, 78445, 50947, 59435, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51074, 51207, 51074, 72641, 78445, 51133, 50824, 63133, 51074, 51207, 51074, 72641, 50929, 63961, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51185, 50824, 51725, 51074, 51207, 51074, 72641, 78445, 51133, 54107, 51725, 51074, 51207, 51074, 72641, 50929, 57524, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51530, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 53681, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 54098, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 50807, 51118, 50824, 51020, 50824, 51023, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 50824, 52591, 52286, 50795, 53008, 50795, 51322, 50795, 71057, 52159, 50802, 71268, 51092, 50802, 51185, 50802, 51504, 51074, 51846, 51074, 71657, 78445, 53926, 54107, 52286, 51358, 53008, 51358, 51322, 51358, 51209, 51358, 52159, 51407, 51061, 51407, 51092, 51407, 51185, 51407, 51504, 51333, 51846, 51333, 50960, 51333, 50929, 67995, 53926, 58769, 51504, 51074, 51846, 51074, 71657, 50929, 59837, 51504, 51074, 51846, 51074, 71657, 50970, 56989, 51504, 51074, 51846, 51074, 50960, 59435, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 50824, 52591, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51185, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 53566, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51530, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 53681, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 61760, 50824, 51092, 50824, 51403, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 54098, 53046, 50807, 51830, 50807, 51451, 50807, 51209, 50807, 51118, 50824, 51020, 50824, 51023, 50824, 51725, 51333, 51207, 51333, 50986, 51333, 50929, 51333, 51133, 50824, 52591, 52286, 50795, 53008, 50795, 51322, 50795, 71057, 52159, 50802, 71268, 51092, 50802, 51185, 50802, 51504, 51074, 51846, 51074, 71657, 78445, 53926, 51407, 50426, 52286, 50807, 53008, 50807, 51322, 50807, 51209, 50807, 52159, 51009, 51061, 51009, 51092, 51009, 51185, 51009, 51504, 51333, 51846, 51333, 50960, 51333, 50929, 65461, 52286, 50795, 53008, 50795, 51322, 50795, 71057, 51504, 51074, 51846, 51074, 71657, 50929, 59837, 52286, 50795, 53008, 50795, 51322, 50795, 74602, 51504, 51074, 51846, 51074, 71657, 50970, 56989, 51917, 50795, 74602, 51590, 50795, 52031, 50795, 79208, 50970, 51074, 51076, 51074, 51549, 51074, 51133, 52325, 51451, 51036, 51366, 51036, 51408, 51036, 51390, 51036, 50986, 52136, 50998, 52136, 51064, 52136, 51067, 52136, 51133, 52442, 55746, 50986, 51333, 50998, 51333, 51064, 51333, 51067, 65461, 72641, 73903, 51064, 51074, 51067, 59837, 72641, 73903, 51064, 51074, 51067, 56989, 72641, 73903, 51064, 51074, 51067, 59435, 51772, 51036, 51209, 51036, 51408, 51036, 51390, 51036, 51136, 52136, 50929, 52136, 51064, 52136, 51067, 52136, 55746, 51136, 51333, 50929, 51333, 51064, 51333, 51067, 65461, 51136, 51074, 78445, 51064, 51074, 51067, 59837, 51136, 51074, 78445, 51064, 51074, 51067, 56989, 51136, 51074, 78445, 51064, 51074, 51067, 59435, 52000, 50807, 51334, 50807, 51246, 51333, 50986, 51333, 50970, 51333, 51032, 51333, 52591, 51664, 50807, 51334, 50807, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67995, 52286, 50918, 51334, 50918, 51504, 51333, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67302, 51131, 51074, 72641, 50970, 56989, 72641, 50970, 51074, 51032, 59435, 52000, 50807, 51334, 50807, 51246, 51333, 50986, 51333, 50970, 51333, 51032, 51333, 52591, 51664, 50807, 51334, 50807, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67995, 52286, 50795, 77958, 51504, 51074, 51131, 51074, 72641, 50970, 51074, 51032, 55659, 51664, 50795, 77958, 51131, 51074, 72641, 50970, 59837, 52000, 50795, 77958, 72641, 50970, 51074, 51032, 56989, 51917, 50795, 74602, 51590, 50795, 52031, 50795, 79208, 50970, 51074, 51076, 51074, 51549, 59435, 51451, 51036, 51366, 51036, 51408, 51036, 51390, 51036, 50986, 52136, 50998, 52136, 51064, 52136, 51067, 52136, 55746, 50986, 51333, 50998, 51333, 51064, 51333, 51067, 65461, 72641, 73903, 51064, 51074, 51067, 59837, 72641, 73903, 51064, 56989, 72641, 73903, 51064, 51074, 51067, 59435, 51772, 51036, 51209, 51036, 51408, 51036, 51390, 51036, 51136, 51333, 50929, 51333, 51064, 51333, 51067, 51333, 52591, 51136, 51074, 78445, 51064, 51074, 51067, 55752, 51136, 51333, 50929, 51333, 51064, 51333, 51067, 65461, 51136, 51074, 78445, 51064, 51074, 51067, 59837, 51136, 51074, 78445, 51064, 51074, 51067, 56989, 51136, 51074, 78445, 51064, 51074, 51067, 59435, 52000, 50807, 51334, 50807, 51246, 51333, 50986, 51333, 50970, 51333, 51032, 51333, 52591, 51664, 50807, 51334, 50807, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67995, 52286, 50918, 51334, 50918, 51504, 51333, 51131, 51333, 50986, 51333, 50970, 51333, 51032, 67302, 51131, 51074, 72641, 50970 ]

[ 0, 250, 2635, 12, 20764, 5175, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 15352, 30054, 38668, 483, 7513, 30, 13305, 6, 21979, 9590, 6, 2724, 368, 31365, 25999, 6, 8, 21072, 4, 20, 2125, 16, 11, 5, 762, 9, 12608, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 2270, 33215, 16739, 10726, 9, 163, 119, 1176, 406, 6, 211, 119, 401, 6, 8, 12608, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 50430, 51176, 51961, 50965, 51381, 50973, 51419, 50989, 52256, 50438, 51001, 51212, 50446, 51028, 51679, 50997, 56374, 50965, 51381, 50906, 51542, 50454, 50968, 51277, 57190, 51309, 50877, 51642, 51028, 51642, 51086, 51679, 50421, 50989, 51277, 50973, 51277, 51001, 51309, 50429, 51841, 52256, 51315, 52256, 50989, 51542, 50965, 51542, 50973, 51381, 50437, 50916, 51277, 50445, 51247, 51381, 51050, 51381, 51086, 51679, 50956, 52256, 50871, 51391, 50965, 51542, 50461, 51841, 51679, 51315, 51679, 51086, 51381, 50956, 52256, 50965, 51542, 50973, 51542, 75695, 52046, 55844, 51040, 57820, 50429, 51197, 55844, 50956, 57820, 51357, 53233, 51088, 53233, 51395, 53233, 52481, 54249, 51794, 53233, 79580, 54143, 50431, 50973, 53753, 50796, 50443, 51197, 51187, 53325, 51503, 51016, 52261, 50447, 50956, 52297, 50310, 79981, 52297, 50315, 51013, 51970, 50448, 51762, 50451, 51970, 50452, 52105, 50455, 51970, 51453, 54625, 51503, 50841, 64350, 65110, 58841, 52759, 51235, 51360, 51226, 51471, 51601, 74303, 51040, 58750, 52297, 50315, 51016, 70416, 51003, 51960, 50416, 51762, 50419, 52008, 51039, 56818, 51983, 50424, 51762, 50425, 60656, 51360, 51044, 57334, 61778, 63692, 51378, 51958, 50286, 51226, 51762, 50430, 50916, 51157, 50965, 56793, 52530, 50317, 51016, 57806, 51194, 52008, 51361, 56565, 52008, 50436, 52105, 51570, 50908, 50440, 52105, 50442, 51378, 53333, 53594, 51324, 51541, 51762, 50446, 50956, 51073, 50973, 51290, 50989, 72341, 50896, 51983, 50448, 60899, 51983, 50451, 52105, 50454, 51960, 50455, 52105, 50458, 51085, 52493, 56047, 51247, 51294, 51050, 51541, 51762, 50460, 55626, 50836, 56178, 57055, 79981, 66154, 51016, 57806, 51406, 66583, 51762, 50416, 57806, 62799, 55626, 51467, 73954, 57806, 50937, 52105, 50420, 51629, 51183, 52838, 51183, 50422, 51983, 51510, 52992, 51324, 54726, 57334, 51841, 51362, 51315, 51226, 51762, 79471, 60998, 58750, 52297, 50315, 51013, 52008, 50431, 51762, 50434, 52622, 51556, 50839, 51570, 65004, 52105, 50442, 51324, 53708, 59808, 51197, 52297, 50283, 51294, 51762, 50446, 51040, 51048, 50956, 51048, 59001, 50973, 51013, 55359, 55721, 50852, 55223, 61778, 50880, 51629, 50840, 52838, 53228, 55079, 70416, 57208, 50816, 58014, 50717, 50331, 54452, 57735, 50717, 50331, 50936, 50458, 51197, 50884, 51560, 54192, 52348, 53902, 51503, 50889, 51522, 50896, 53552, 56874, 50825, 56178, 68036, 62202, 66154, 57130, 55614, 70416, 51864, 61923, 61778, 55531, 51044, 54069, 55626, 50887, 52105, 50425, 51503, 50834, 51522, 50841, 57806, 53672, 55882, 52759, 51116, 51360, 51294, 52318, 51235, 53552, 55739, 63571, 51040, 72271, 71449, 50889, 57806, 53672, 59185, 52105, 50433, 61778, 75339, 55901, 55698, 51931, 50441, 51360, 50841, 51868, 50818, 55626, 54109, 58829, 51378, 50807, 51966, 51091, 53262, 50896, 70416, 53841, 51239, 60372, 50916, 51267, 50965, 62542, 71734, 57130, 58275, 70416, 51421, 58078, 61778, 50809, 51899, 51044, 55007, 55626, 62603, 61014, 57806, 62037, 51378, 50846, 53262, 54285, 57461, 51324, 51294, 51668, 51573, 53552, 59933, 57806, 58693, 50956, 51159, 50973, 51157, 50989, 58419, 65221, 50828, 50799, 51931, 50416, 57806, 50938, 50418, 55901, 57240, 51471, 50425, 51085, 50841, 51150, 54005, 52905, 51247, 51191, 51050, 51294, 51793, 51573, 55626, 53672, 51239, 64561, 57806, 56865, 50956, 60241, 62202, 71123, 57130, 57881, 72337, 61778, 58877, 55901, 50834, 51570, 64562, 53786, 55604, 51324, 50834, 51668, 53971, 59117, 51315, 51091, 51841, 51204, 51493, 51362, 55626, 52773, 51239, 53162, 57806, 61189, 50956, 64291, 72271, 66154, 58307, 58275, 51931, 50448, 61778, 50952, 51899, 51044, 57690, 75936, 51315, 50820, 51984, 50828, 61778, 61468, 57461, 51197, 51608, 50283, 51191, 51930, 51016, 53552, 59933, 51040, 59229, 58104, 51073, 50973, 50914, 57806, 53345, 50828, 50799, 55626, 50857, 51931, 50416, 57806, 61292, 55901, 53023, 55626, 61359, 51471, 50424, 51197, 50846, 51930, 50895, 61778, 59155, 52905, 51503, 51608, 50300, 50889, 51522, 51016, 53552, 64015, 50956, 68036, 62202, 66154, 50889, 57806, 61468, 57881, 74909, 57806, 55960, 51044, 59990, 57806, 50846, 51570, 62047, 51197, 50834, 51560, 50895, 64350, 56867, 55384, 51503, 50889, 51522, 50896, 53552, 52210, 50989, 62202, 66154, 65439, 57130, 57757, 52093, 50446, 70416, 66943, 70416, 59248, 55901, 61425, 70416, 50887, 51647, 53268, 51503, 50834, 51522, 50841, 57806, 53933, 57735, 52759, 51116, 51360, 51294, 52318, 51235, 53552, 54814, 57806, 61780, 63571, 50965, 71449, 65439, 59250, 57498, 52105, 51601, 61778, 53504, 55901, 52761, 70416, 50991, 50421, 51931, 50424, 51360, 50841, 51868, 54005, 59824, 51378, 51800, 50286, 51191, 53262, 50896, 53552, 65416, 50916, 51267, 50965, 62542, 71734, 57130, 50828, 51532, 59651, 55626, 62089, 55901, 54606, 57806, 58566, 51471, 50439, 61778, 77118, 51378, 50846, 53262, 54285, 54735, 51324, 51294, 51668, 51573, 57806, 53345, 51239, 60067, 61778, 60492, 50956, 51159, 50973, 51290, 50989, 58419, 58307, 57757, 51931, 50449, 55901, 55007, 51471, 50455, 51085, 50841, 51150, 54005, 57735, 51247, 51191, 51050, 51294, 51793, 51573, 55626, 53345, 51239, 54991, 51086, 62930, 60241, 62202, 50807, 57806, 53345, 57498, 51931, 51601, 61778, 50938, 50417, 55901, 58592, 69971, 51324, 50834, 51668, 53971, 59824, 51841, 51204, 51315, 51091, 51493, 51362, 55626, 53345, 51239, 56680, 50956, 64291, 72271, 52297, 50303, 50914, 57806, 53243, 50828, 51532, 59651, 61778, 56504, 55901, 59370, 51931, 50439, 51315, 50820, 51984, 50828, 61778, 52862, 62078, 51197, 51608, 50283, 51191, 51930, 51016, 53552, 59808, 51040, 59229, 67565, 51159, 50973, 65221, 52878, 57806, 51421, 61082, 55626, 55459, 51044, 59528, 57806, 69008, 51471, 50454, 61778, 50952, 50455, 51197, 50846, 51930, 54285, 52738, 51503, 51095, 51176, 51095, 51522, 51175, 53552, 54794, 50956, 68036, 62202, 66154, 50889, 57806, 52862, 60112, 51471, 51809, 54637, 61606, 53396, 51044, 63222, 51324, 53576, 52206, 51508, 53744, 51085, 50884, 55626, 53500, 61159, 52759, 51221, 51360, 51204, 52318, 50991, 57806, 53672, 51239, 52437, 61778, 60329, 50956, 51267, 50871, 51267, 51086, 63403, 67294, 61146, 57806, 51559, 57881, 55626, 52667, 53786, 57446, 53396, 51044, 54002, 53786, 68412, 70658, 53979, 50925, 50439, 51360, 50841, 52318, 54005, 62078, 51966, 51807, 50298, 51204, 51705, 50889, 53552, 60604, 50916, 62202, 60006, 71734, 50943, 53319, 58616, 50801, 52878, 53319, 50878, 52105, 50448, 62570, 51044, 60752, 51931, 50454, 51966, 50884, 51705, 50949, 55626, 53704, 52738, 54637, 51619, 50291, 50943, 52659, 50914, 57806, 53933, 51239, 58323, 50989, 64292, 71449, 66715, 51003, 61778, 53243, 54370, 57806, 63357, 51931, 50799, 55626, 69939, 53786, 54384, 51044, 56564, 63222, 53786, 50836, 51039, 56856, 51085, 50841, 51461, 50818, 53979, 53095, 59095, 51247, 51800, 50297, 51294, 51140, 51013, 53552, 52928, 50956, 59782, 68292, 71123, 51003, 53786, 54169, 55882, 51931, 50428, 53786, 50925, 50431, 55901, 56564, 50841, 51556, 53040, 51247, 50839, 51140, 50846, 55626, 53790, 56068, 51841, 51191, 51315, 51191, 51493, 51294, 57806, 53345, 51239, 55262, 61778, 58344, 50956, 65480, 72271, 71449, 59250, 58829, 57806, 50840, 51931, 50445, 55626, 54926, 53786, 58029, 53754, 51044, 57136, 53786, 50836, 51931 ]

[ 0, 250, 33558, 19834, 15229, 4246, 21979, 8669, 6, 33704, 5675, 22052, 6, 6755, 12547, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 6, 7630, 14805, 10, 4845, 119, 27633, 8, 2365, 619, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 4, 20, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 381, 6, 163, 119, 6, 381, 6, 8, 163, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50799, 51236, 50855, 50768, 50289, 54718, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 51236, 50867, 50768, 50301, 59826, 51236, 50844, 50768, 50289, 58545, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51236, 50859, 50768, 50301, 51754, 51236, 50867, 50768, 50301, 50844, 50799, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 51236, 50857, 50768, 50301, 59894, 51236, 50862, 50768, 50289, 59356, 50768, 50301, 54305, 51236, 50834, 50768, 50289, 53140, 52474, 51054, 51236, 50840, 50768, 50301, 53875, 51236, 50857, 50768, 50301, 50854, 62954, 51761, 51349, 50983, 51113, 51148, 51488, 51080, 51301, 52121, 51236, 50887, 50768, 50289, 55105, 51236, 50867, 50768, 50289, 54104, 50768, 50301, 54818, 51236, 50887, 50768, 50301, 54334, 60419, 66906, 54423, 51100, 51236, 50867, 50768, 50301, 50952, 50433, 51316, 54137, 64226, 50929, 50981, 51088, 51148, 51357, 51244, 51236, 50855, 50768, 50289, 68569, 51076, 50981, 52474, 51016, 50441, 50768, 50301, 52510, 51236, 50813, 50768, 50289, 54105, 51292, 50981, 51374, 50889, 51236, 50836, 50768, 50301, 55433, 51236, 50862, 50768, 50301, 50887, 62954, 51237, 51349, 50983, 51113, 51244, 51488, 51148, 51236, 50840, 50768, 50289, 54657, 51236, 50857, 50768, 50289, 55754, 50768, 50301, 53425, 51236, 50809, 50768, 50301, 53705, 66286, 66906, 54423, 51111, 51236, 50867, 50768, 50301, 67631, 51316, 58020, 69432, 50929, 51109, 52474, 51016, 51088, 51145, 51357, 51490, 51107, 51145, 51236, 50809, 50768, 50289, 62293, 51076, 74244, 50768, 50301, 53524, 51236, 50857, 50768, 50289, 52800, 51292, 50915, 51236, 50840, 50768, 50301, 60949, 51374, 67523, 51236, 50855, 50768, 50301, 50840, 62954, 51761, 51349, 51364, 51113, 51183, 51488, 51244, 51236, 50855, 50768, 50289, 54718, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 66286, 57304, 54423, 51100, 51236, 50867, 50768, 50301, 50940, 50433, 51316, 58020, 69432, 67806, 52474, 50896, 51088, 51145, 51357, 51148, 51236, 50844, 50768, 50289, 64643, 51076, 63939, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51292, 50943, 51236, 50859, 50768, 50301, 57465, 51374, 63505, 51236, 50867, 50768, 50301, 50844, 62954, 51054, 51349, 51343, 51113, 51183, 51488, 51148, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 63386, 66309, 54423, 51100, 51236, 50857, 50768, 50301, 50948, 50433, 51316, 54014, 50960, 51477, 50929, 51109, 52474, 51090, 74973, 51357, 51080, 51107, 51145, 51236, 50862, 50768, 50289, 67941, 51076, 77052, 50768, 50301, 54305, 51236, 50834, 50768, 50289, 53140, 51292, 51159, 51236, 50840, 50768, 50301, 63793, 51374, 51603, 50456, 51236, 50857, 50768, 50301, 50854, 62954, 51761, 51349, 50983, 51113, 51148, 51488, 51080, 51301, 52121, 56547, 56073, 51236, 50887, 50768, 50289, 55105, 51236, 50867, 50768, 50289, 54104, 50768, 50301, 54818, 51236, 50887, 50768, 50301, 54334, 60419, 66906, 54423, 51100, 51236, 50867, 50768, 50301, 50952, 50433, 51316, 54137, 64226, 50929, 50981, 51088, 51148, 51357, 51244, 51236, 50855, 50768, 50289, 68569, 51076, 50981, 52474, 51016, 50441, 50768, 50301, 52510, 51236, 50813, 50768, 50289, 54105, 51292, 50981, 51374, 50889, 51236, 50836, 50768, 50301, 55433, 51236, 50862, 50768, 50301, 50887, 62954, 51237, 51349, 50983, 51113, 51244, 51488, 51148, 51236, 50840, 50768, 50289, 54657, 51236, 50857, 50768, 50289, 69150, 55093, 69321, 50768, 50301, 53425, 51236, 50809, 50768, 50301, 60155, 56547, 59959, 66286, 66906, 54423, 51111, 51236, 50867, 50768, 50301, 67631, 51316, 58020, 69432, 50929, 51109, 52474, 51016, 51088, 51145, 51357, 51490, 51107, 51145, 55693, 50993, 51236, 50809, 50768, 50289, 62293, 51076, 74244, 50768, 50301, 53524, 51236, 50857, 50768, 50289, 54417, 56547, 69560, 51292, 50915, 51236, 50840, 50768, 50301, 60949, 51374, 51048, 50455, 55093, 51379, 50456, 51236, 50855, 50768, 50301, 50840, 62954, 51761, 51349, 51364, 51113, 51183, 51488, 51244, 51236, 50855, 50768, 50289, 68621, 56547, 54217, 50420, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 66286, 57304, 54423, 51100, 51236, 50867, 50768, 50301, 50940, 50433, 51316, 58020, 69432, 67806, 52474, 50896, 51088, 51145, 51357, 51148, 51236, 50844, 50768, 50289, 64643, 51076, 63939, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51292, 50943, 51236, 50859, 50768, 50301, 57465, 51374, 63505, 51236, 50867, 50768, 50301, 50844, 62954, 51054, 51349, 51343, 51113, 51183, 51488, 51148, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 63386, 66309, 54423, 51100, 51236, 50857, 50768, 50301, 50948, 50433, 51316, 54014, 50960, 51477, 50929, 51109, 52474, 51090, 74973, 51357, 51080, 51107, 51145, 51236, 50862, 50768, 50289, 67941, 51076, 77052, 50768, 50301, 54305, 51236, 50834, 50768, 50289, 53140, 51292, 51159, 51236, 50840, 50768, 50301, 63793, 51374, 51603, 50456, 51236, 50857, 50768, 50301, 50854, 62954, 51761, 51349, 50983, 51113, 51148, 51488, 51080, 51301, 52121, 56547, 52442, 51236, 50887, 50768, 50289, 55105, 51236, 50867, 50768, 50289, 54104, 50768, 50301, 54818, 51236, 50887, 50768, 50301, 54334, 60419, 66906, 54423, 51100, 51236, 50867, 50768, 50301, 50952, 50433, 51316, 54137, 64226, 50929, 50981, 51088, 51148, 51357, 51244, 51236, 50855, 50768, 50289, 68569, 51076, 50981, 52474, 51016, 50441, 50768, 50301, 52510, 51236, 50813, 50768, 50289, 54105, 51292, 50981, 51374, 50889, 51236, 50836, 50768, 50301, 55433, 51236, 50862, 50768, 50301, 50887, 62954, 51237, 51349, 50983, 51113, 51244, 51488, 51148, 51236, 50840, 50768, 50289, 54657, 51236, 50857, 50768, 50289, 69150, 55093, 69321, 50768, 50301, 53425, 51236, 50809, 50768, 50301, 60155, 56547, 51483, 50432, 66286, 66906, 54423, 51111, 51236, 50867, 50768, 50301, 67631, 51316, 58020, 69432, 50929, 51109, 52474, 51016, 51088, 51145, 51357, 51490, 51107, 51145, 55693, 50993, 51236, 50809, 50768, 50289, 62293, 51076, 74244, 50768, 50301, 53524, 51236, 50857, 50768, 50289, 54417, 56547, 77778, 51292, 50915, 51236, 50840, 50768, 50301, 60949, 51374, 51048, 50455, 55093, 73499, 51236, 50855, 50768, 50301, 50840, 62954, 51761, 51349, 51364, 51113, 51183, 51488, 51244, 51236, 50855, 50768, 50289, 68621, 56547, 52737, 50420, 51236, 50867, 50768, 50289, 53868, 50768, 50301, 54818, 51236, 50833, 50768, 50301, 54937, 66286, 57304, 54423, 51100, 51236, 50867, 50768, 50301, 50940, 50433, 51316, 58020, 69432, 67806, 52474, 50896, 51088, 51145, 51357, 51148, 51236, 50844, 50768, 50289, 64643, 51076, 63939, 50768, 50301, 53806, 51236, 50857, 50768, 50289, 52800, 51292, 50943, 51236, 50859, 50768, 50301, 57465, 51374, 51073, 50456, 51236, 50867, 50768, 50301, 50844, 62954, 51054, 51349, 51343, 51113, 51183, 51488, 51148, 51236, 50812, 50768, 50289, 54351, 51236, 50829, 50768, 50289, 54104, 50768, 50301, 53939, 51236, 50840, 50768, 50301, 52686, 63386, 50947, 50938, 54423, 51100, 51236, 50857, 50768, 50301, 50948, 50433, 51316, 55467, 50960, 51542 ]

[ 0, 250, 8787, 5175, 2125, 19, 10, 2842, 9, 3495, 6, 17407, 30, 63, 15352, 30054, 8, 19448, 2574, 4, 8504, 11, 230, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 26432, 636, 3938, 22052, 6, 21072, 6, 3459, 9590, 6, 8, 10, 6755, 12547, 4, 20, 33215, 16739, 9, 230, 119, 406, 6, 272, 119, 406, 6, 8, 230, 119, 3639, 7, 63, 2365, 8, 1372, 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 ]

[ 54458, 67896, 68173, 50964, 60493, 50945, 52125, 51325, 70048, 50945, 52116, 50953, 52325, 57909, 67896, 68173, 50964, 60493, 50945, 52125, 51325, 70048, 50945, 52116, 50953, 52325, 57909, 67896, 50993, 50913, 50886, 50416, 50913, 50886, 53214, 66182, 50913, 55394, 50913, 59993, 50913, 56037, 50964, 50993, 50913, 64783, 50913, 53935, 50913, 71699, 50913, 50886, 53649, 64205, 50913, 54860, 50945, 55674, 61075, 50913, 50886, 53198, 61360, 50913, 53980, 51325, 50993, 50913, 68167, 50913, 50886, 53491, 64101, 50913, 54758, 50913, 61334, 50913, 57091, 50945, 52199, 64891, 50913, 54105, 50953, 55674, 76690, 50913, 50886, 54599, 64833, 50913, 55370, 50945, 55674, 61688, 50913, 50886, 53341, 61561, 50913, 50886, 67896, 68173, 50964, 60493, 50945, 52125, 51325, 64322, 51858, 52911, 50945, 52116, 50953, 52677, 53532, 50816, 52163, 50945, 52590, 50803, 67896, 68938, 52699, 51589, 50873, 51206, 53177, 50304, 56082, 50861, 56082, 50965, 56082, 51001, 56082, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51224, 57488, 52542, 51589, 50873, 56343, 55059, 50953, 68938, 52199, 50912, 53410, 50811, 51899, 52699, 51589, 50873, 53143, 50811, 54706, 52199, 50912, 63000, 52884, 50945, 52590, 56662, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 55267, 55141, 50822, 51441, 50814, 50307, 56082, 50965, 56082, 50876, 56082, 51001, 51427, 51405, 51427, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 53143, 54381, 50964, 50993, 78012, 51001, 51427, 51405, 51427, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 50822, 51441, 50814, 50319, 52370, 50331, 50911, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 50822, 51441, 50814, 50319, 51427, 51405, 51427, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 50931, 52370, 50333, 50911, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 53410, 52884, 57909, 51170, 52542, 50822, 51441, 50814, 50318, 52370, 50330, 50911, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 50822, 51441, 50814, 50319, 51427, 51405, 51427, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 50902, 51427, 51146, 51427, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 50822, 51441, 50814, 50316, 52370, 50328, 50882, 53143, 54496, 51170, 52085, 50912, 50906, 50882, 51081, 50882, 53410, 52952, 51325, 68938, 52699, 50822, 51441, 50814, 50311, 53177, 50323, 51090, 53410, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 50822, 51441, 50814, 50309, 53177, 50321, 51090, 53143, 50811, 54599, 50912, 63000, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 53410, 52884, 57909, 51170, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 67896, 68938, 52699, 51589, 50873, 63000, 50811, 53214, 50912, 53410, 53213, 51236, 52542, 51589, 50873, 56343, 54381, 50964, 50993, 78012, 52967, 50811, 51694, 52699, 51589, 50873, 52876, 50811, 53649, 50912, 53410, 52726, 50945, 52590, 56662, 52542, 51589, 50873, 53143, 54496, 51170, 52085, 50912, 53410, 52952, 51325, 68938, 52699, 51589, 50873, 56343, 50811, 53491, 50912, 53143, 52940, 51236, 52542, 51589, 50873, 56343, 55059, 50945, 52199, 50912, 53410, 52768, 50953, 52677, 52699, 51589, 50873, 53143, 50811, 54599, 50912, 53410, 52884, 50945, 52590, 56662, 52542, 51589, 50873, 56045, 54871, 51170, 52085, 50912, 53410, 50811, 53596, 79109, 52699, 50822, 51441, 50814, 50307, 56082, 50965, 56082, 50876, 56094, 51001, 51427, 51405, 51427, 59685, 50811, 53214, 50912, 53143, 53213, 51236, 52542, 51589, 50873, 56045, 54381, 50945, 51160, 78012, 51001, 51427, 51405, 51427, 53348, 50811, 51694, 52699, 51589, 50873, 52803, 50811, 53649, 50912, 53143, 52726, 51186, 56795, 56662, 52542, 50822, 51441, 50814, 50319, 52370, 50331, 50911, 52967, 54496, 51170, 52085, 50912, 53143, 52952, 52022, 79109, 52699, 50822, 51441, 50814, 50319, 51427, 51405, 51427, 56045, 50811, 53491, 50912, 52967, 52940, 51236, 52542, 51589, 50873, 56045, 55059, 51186, 54976, 50912, 50931, 52370, 50333, 50911, 53143, 52768, 51133, 52677, 52699, 51589, 50873, 56045, 50811, 54599, 50912 ]

[ 0, 250, 765, 8, 182, 1769, 3495, 3152, 37903, 11, 272, 538, 6, 4246, 41, 21979, 8669, 6, 2724, 368, 31365, 25999, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 19, 10, 11602, 9, 7125, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50642, 79391, 55046, 51076, 54187, 57235, 59177, 58197, 51019, 64146, 60419, 63755, 51076, 63862, 52630, 68242, 67291, 51076, 63862, 52726, 60419, 67291, 51076, 51654, 50388, 52094, 51010, 50433, 51019, 61546, 60419, 67291, 51076, 63862, 60159, 67669, 50929, 50893, 51076, 50893, 52531, 52094, 55059, 52491, 55510, 51019, 51352, 68533, 50929, 50893, 51076, 56867, 77365, 62103, 52491, 61510, 60419, 67291, 51076, 63862, 51010, 50799, 68242, 62018, 71594, 52531, 52094, 58320, 52891, 51500, 50420, 68242, 67291, 51076, 69387, 57480, 68242, 67291, 51076, 55732, 60404, 56973, 51979, 51379, 50432, 68242, 67291, 51076, 69387, 52676, 79388, 71369, 50929, 50893, 51076, 50893, 71937, 51979, 57508, 50798, 57235, 59071, 53319, 52737, 51769, 61897, 64629, 67291, 69239, 51067, 54058, 63880, 67291, 79751, 51067, 50972, 51065, 56354, 72809, 63755, 51076, 50805, 51067, 50974, 52531, 52094, 60370, 50953, 51745, 61894, 50849, 50929, 50893, 51076, 50805, 51067, 66884, 52302, 72809, 63755, 71594, 51067, 50838, 52055, 52094, 52968, 71369, 50929, 50893, 51076, 50893, 51067, 57353, 51045, 51065, 68238, 50953, 66613, 72809, 67291, 79751, 51067, 51166, 51065, 59266, 63880, 63755, 79751, 51067, 57685, 60499, 52940, 63880, 67291, 51076, 69387, 52768, 72809, 63755, 71594, 51067, 50905, 52531, 52268, 57701, 64629, 63755, 71594, 71937, 51065, 50811, 68892, 51010, 50929, 50930, 51076, 50879, 70858, 51438, 50893, 52491, 53454, 50798, 63791, 64431, 58197, 67989, 51979, 53090, 50420, 65738, 65742, 60502, 51292, 71920, 52630, 57662, 51076, 50805, 51032, 50805, 51292, 69387, 52726, 67989, 63755, 51076, 51079, 60502, 51292, 50901, 52531, 52094, 60364, 61675, 51076, 50805, 60502, 51292, 63862, 60159, 50929, 50893, 79751, 74731, 51292, 51428, 50388, 52094, 52768, 51133, 51029, 71927, 51076, 50911, 74731, 51292, 56867, 77365, 57506, 52643, 67291, 79751, 51032, 50805, 51292, 69387, 51010, 60938, 50849, 51076, 50805, 51032, 50805, 51292, 50901, 52531, 52094, 53213, 62018, 79751, 51032, 50805, 51292, 69387, 57480, 51415, 50824, 67291, 51076, 50805, 78029, 51292, 55732, 60404, 52265, 63755, 79751, 51032, 50805, 51292, 69387, 57776, 53880, 52826, 50438, 76700, 50947, 51012, 51076, 50805, 51032, 50893, 52491, 54484, 50798, 57235, 59071, 51011, 51059, 51769, 52711, 61498, 79751, 51032, 52985, 60419, 50947, 50893, 51076, 50849, 51032, 63862, 56354, 60419, 70696, 51076, 50981, 67672, 52531, 52094, 60370, 51011, 51745, 50799, 60419, 57304, 67672, 51065, 52302, 66286, 57304, 79751, 67672, 52055, 52094, 52968, 51011, 51029, 61337, 50947, 50893, 51076, 50849, 51032, 50893, 51769, 55976, 51045, 51065, 56896, 67519, 66309, 51076, 50981, 60265, 51065, 59266, 66286, 66309, 51032, 55732, 60499, 61746, 51769, 54651, 63386, 57304, 69239, 51032, 71920, 59135, 51011, 51362, 50450, 50998, 62874, 50849, 51076, 50911, 65063, 52531, 52268, 57701, 68533, 57304, 51076, 50849, 51032, 53872, 50811, 69146, 50893, 55046, 51076, 54187, 60499, 59177, 58197, 51019, 68107, 60419, 63755, 51076, 63862, 52630, 62664, 68242, 67291, 51076, 63862, 52726, 51019, 51066, 60419, 67291, 51076, 51654, 50388, 52094, 60364, 60419, 67291, 51076, 63862, 51010, 50443, 51019, 52284, 67669, 50929, 50893, 51076, 50893, 52531, 52094, 55059, 52491, 55510, 63167, 68533, 50929, 50893, 51076, 56867, 57235, 57365, 51769, 50882, 50452, 52491, 61510, 60419, 67291, 51076, 63862, 74380, 63167, 50799, 68242, 62018, 71594, 52531, 52094, 58320, 52891, 51500, 50420, 70702, 68242, 67291, 51076, 69387, 57480, 63167, 68242, 67291, 51076, 55732, 60404, 56973, 51979, 51379, 50432, 58461, 68242, 67291, 51076, 69387, 52676, 71369, 50929, 50893, 51076, 50893, 71937, 51979, 57508, 50798, 57235, 59071, 79388, 53319, 52737, 51769, 55920, 64629, 67291, 69239, 51067, 54058, 63880, 67291, 79751, 51067, 50972, 51065, 56354, 72809, 63755, 51076, 50805, 51067, 50974, 52531, 52094, 60370, 50953, 51066, 61894, 50849, 50929, 50893, 51076, 50805, 51067, 66884, 52302, 72809, 63755, 71594, 51067, 50838, 52055, 52094, 59852, 50953, 56519, 63615, 71369, 50929, 50893, 51076, 50893, 51067, 57353, 51045, 51065, 50950, 50428, 51769, 54154, 72809, 67291, 79751, 51067, 51166, 51065, 50962, 55208, 50802, 63880, 63755, 79751, 51067, 57685, 60499, 52940, 73634, 63880, 67291, 51076, 69387, 52768, 72809, 63755, 71594, 51067, 50905, 52531, 52268, 78780, 50953, 55273, 64629, 63755, 71594, 71937, 51065, 60370, 61254, 54272, 50824, 51032, 51010, 50929, 50930, 51076, 50879, 70858, 52491, 53454, 50798, 60499, 57506, 56025, 51979, 53090, 50420, 65738, 65742, 60502, 51292, 71920, 52630, 57662, 51076, 50805, 51032, 50805, 51292, 69387, 58221, 51133, 51056, 50432, 63755, 51076, 51079, 60502, 51292, 50901, 52531, 52094, 60364, 61675, 51076, 50805, 60502, 51292, 63862, 60159, 51133, 50823, 50929, 50893, 79751, 74731, 51292, 51428, 50388, 52094, 52768, 51133, 50823, 71927, 51076, 50911, 74731, 51292, 56867, 57235, 52163, 67291, 79751, 51032, 50805, 51292, 69387, 51010, 50457, 51133, 71366, 79303, 60938, 50849, 51076, 50805, 51032, 50805, 51292, 50901, 52531, 51106, 55326, 53213, 51133, 51286, 62018, 79751, 51032, 50805, 51292, 57652, 64088, 51010, 50425, 51415, 62819, 67291, 51076, 50805, 78029, 51292, 55732, 52791, 68672, 52265, 63755, 79751, 51032, 50805, 51292, 57652, 68608, 57776, 51769, 54181, 51076, 50805, 50986, 51103, 53319, 52299, 59177, 57235, 59071, 51011, 70736, 50998, 51551, 50441, 51131, 51407, 50443, 50929, 51551, 50445, 51011, 79384, 51769, 53140, 52172, 52149, 51065, 72638, 51011, 57313, 51011, 53235, 50388, 52094, 56628, 51769, 50854, 53534, 50910, 51065, 52302, 52055, 52094, 59852, 51011, 51045, 50424, 50986, 51417, 50426, 50998, 51472, 50816, 51045, 51335, 67541, 54262, 50586, 60262, 63616, 50929, 51285, 53319, 67318, 51076, 66312, 51065, 67725, 51011, 55381, 63616, 51769, 53632, 54886, 58948, 52940, 51065, 59135, 51011, 69458, 51769, 54596, 64604, 52531, 51122, 50942, 51065, 57701, 51065, 60370, 51011, 56860, 50998, 52168, 53534, 53236, 59177, 67541, 58320, 50929, 51407, 53319, 51480, 50416, 50986, 51407, 51076, 51407, 50420, 51011, 71299, 51769, 52921, 51011, 51138, 51065, 55736, 51011, 51747, 50388, 52094, 57784, 51769, 54181, 51011, 51138, 51065, 52267, 51011, 53235, 75616, 59135, 50998, 51538, 50448, 50929, 51407, 50449, 51076, 52282, 50450, 63616, 51067, 51977, 50816, 54262, 50588, 67541, 54262, 50586, 64847, 53319, 52188, 50456, 51011, 68608, 50962, 53534, 63791, 53632, 60499, 60861, 51011, 59723, 51065, 58099, 65592, 51769, 50858, 52389, 57591, 61273, 56257, 51065, 58212, 50986, 51486, 50437, 51725, 51352, 50998, 51941, 67465, 50860, 50929, 51941, 50798, 57235, 61746, 51032, 51896, 50444, 51133, 75637, 51769, 53140, 51133, 60499, 72091, 51133, 55037, 52531, 52094, 56628, 51769, 50854, 54272, 60499, 61993, 51133, 55446, 52055, 52094, 58099, 51133, 50823, 50986, 51591, 51694, 50388, 52094, 54262, 50586, 60262, 50998, 51977, 50428, 51725, 51407, 50929, 51742, 50429, 51032, 51623, 50431, 51133, 57748, 51065, 79737, 51133, 55276, 51769, 53632, 60499, 60869, 51133, 70500, 51065, 57795, 79303, 51769, 54596, 52531, 52268, 51010, 50455, 51133, 56210, 51065, 56628, 50986, 51803, 69146, 51977, 50798, 57235, 58320, 60264, 51725, 51407, 50416, 50929, 53486, 50418, 51032 ]

[ 0, 250, 19448, 15855, 2125, 702, 15, 41, 21979, 8669, 11, 83, 538, 6, 4246, 10, 33215, 16739, 14, 25935, 1626, 227, 381, 8, 83, 4, 590, 10, 23758, 3938, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 42, 2214, 7630, 6568, 10, 5679, 26709, 8, 11653, 5466, 6, 1969, 13, 10, 32625, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 51444, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 59176, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 51574, 50879, 51574, 73824, 51846, 54811, 50960, 67636, 50998, 54721, 51169, 69194, 51292, 54418, 51067, 57264, 51076, 50859, 50799, 52028, 51013, 52028, 51013, 50417, 51317, 54681, 51078, 55747, 50947, 53950, 51316, 58129, 51292, 53974, 51788, 56535, 52866, 54773, 51444, 51013, 51786, 61032, 51292, 54811, 51067, 56762, 51316, 54721, 51076, 59682, 50947, 54418, 51169, 57264, 51078, 50859, 65962, 50879, 51574, 78006, 51317, 54681, 51131, 50879, 51131, 65393, 50998, 53950, 51317, 50879, 51317, 65708, 50947, 53974, 50998, 50879, 50998, 63363, 51316, 54773, 50947, 50879, 50947, 73824, 51292, 54811, 51316, 56762, 50947, 54721, 51574, 51238, 51574, 51013, 50453, 51311, 55416, 50960, 66458, 51169, 50859, 65309, 51336, 50417, 51317, 56179, 50627, 50998, 65393, 50947, 53950, 50627, 51316, 65708, 51292, 53974, 50626, 52866, 56535, 51788, 54773, 50626, 51131, 51013, 50439, 51317, 51073, 50998, 51073, 50947, 51073, 57530, 51444, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 78006, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 50960, 73824, 51078, 54811, 51131, 50879, 51131, 67636, 50960, 54721, 52028, 50879, 52028, 69194, 50960, 54418, 51444, 50859, 51444, 66458, 52028, 50859, 65309, 51013, 50417, 51131, 56179, 51317, 65393, 50998, 53950, 50947, 58129, 51316, 53974, 51292, 56535, 51786, 54773, 51563, 61032, 51292, 54811, 51316, 67636, 50947, 54721, 51076, 59682, 50947, 54418, 50929, 66458, 50998, 50859, 60533, 50859, 51444, 59176, 52028, 54681, 51131, 65393, 50960, 54851, 51078, 65708, 51076, 53974, 50947, 63363, 51078, 54773, 51574, 50879, 51574, 73824, 51846, 54811, 50960, 67636, 50998, 54721, 51169, 69194, 51292, 54418, 51067, 57264, 51076, 50859, 50799, 52028, 51013, 52028, 51013, 50417, 51317, 54681, 51078, 55747, 50947, 53950, 51316, 58129, 51292, 53974, 51788, 56535, 52866, 54773, 51444, 51013, 51786, 61032, 51292, 54811, 51067, 56762, 51316, 54721, 51076, 59682, 50947, 54418, 51169, 57264, 51078, 50859, 65962, 50879, 51574, 78006, 51317, 54681, 51131, 50879, 51131, 65393, 50998, 53950, 51317, 50879, 51317, 65708, 50947, 53974, 50998, 50879, 50998, 63363, 51316, 54773, 50947, 50879, 50947, 73824, 51292, 54811, 51316, 56762, 50947, 54721, 51574, 51238, 51574, 51013, 50453, 51311, 55416, 50960, 66458, 51169, 50859, 65309, 51336, 50417, 51317, 56179, 50627, 50998, 65393, 50947, 53950, 50627, 51316, 65708, 51292, 53974, 50626, 52866, 56535, 51788, 54773, 50626, 51131, 51013, 50439, 51317, 51073, 50998, 51073, 50947, 51073, 57530, 51504, 50879, 51504, 78006, 51131, 56179, 50986, 65393, 50970, 54851, 50947, 58129, 51067, 53974, 51032, 63363, 50947, 54773, 50970, 73824, 50947, 54811, 50986, 50879, 50986, 67636, 50970, 54721, 51131, 50879, 51131, 69194, 50986, 54418, 51504, 50859, 51504, 66458, 51131, 50859, 63133, 50859, 51725, 51013, 50417, 51574, 54681, 51207, 65393, 51246, 54851, 50986, 65708, 50998, 53974, 50929, 63363, 50947, 54773, 51064, 73824, 50929, 54811, 50998, 67636, 50986, 54721, 50960, 69194, 50986, 54418, 51246, 57264, 51207, 50859, 58700, 50879, 51504, 78006, 51131, 56179, 50986, 65393, 50970, 54851, 50947, 58129, 51067, 53974, 51032, 63363, 50947, 54773, 50970, 73824, 50947, 54811, 50986, 50879, 50986, 67636, 50970, 54721, 51131, 50879, 51131, 69194, 50986, 54418, 51504, 50859, 51504, 66458, 51131, 50859, 63133, 50859, 51725, 51013, 50417, 51574, 54681, 51207, 65393, 51246, 54851, 50986, 65708, 50998, 53974, 50929, 63363, 50947, 54773, 51064, 73824, 50929, 54811, 50998, 67636, 50986, 54721, 50960, 69194, 50986, 54418, 51246, 57264, 51207, 50859, 50799, 53805, 51013, 53805, 51013, 50417, 50998, 56179, 50929, 65393, 50947, 53950, 51316, 58129, 51292, 53974, 51563, 56535, 51292, 54773, 52012, 51336, 51316, 73824, 50947, 54811, 51169, 56762, 50947, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 60533, 50859, 51444, 59176, 51504, 54681, 51131, 65393, 50960, 54851, 50970, 65708, 50947, 53974, 51067, 56535, 51292, 54773, 51444, 51336, 51438, 61032, 51067, 54811, 50947, 67636, 50970, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 50799, 53805, 51013, 53805, 51013, 50417, 50998, 56179, 50929, 65393, 50947, 53950, 51316, 58129, 51292, 53974, 51563, 56535, 51292, 54773, 52012, 51336, 51316, 73824, 50947, 54811, 51169, 56762, 50947, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 60533, 50859, 51444, 59176, 51504, 54681, 51131, 65393, 50960, 54851, 50970, 65708, 50947, 53974, 51067, 56535, 51292, 54773, 51444, 51336, 51438, 61032, 51067, 54811, 50947, 67636, 50970, 54721, 51064, 59682, 50947, 54418, 50929, 57264, 50998, 50859, 64752, 50879, 51246, 78006, 50960, 56179, 50970, 65393, 50960, 54851, 51064, 65708, 50970, 54729, 51067, 63363, 51064, 54773, 51438, 50879, 51438, 55885, 51246, 56827, 50960, 57241, 51246, 50923, 58700, 50879, 51504, 78006, 50986, 56179, 50970, 65393, 50986, 54851, 50947, 65708, 50970, 54729, 51032, 63363, 50947, 54773, 51438, 55885, 51504, 56827, 51131, 57241, 51504, 50923, 61108, 50879, 51207, 78006, 51246, 56179, 50960, 65393, 51246, 54851, 50929, 65708, 50960, 54729, 51064, 63363, 50929, 54773, 51067, 55885, 51207, 56827, 51246, 57241, 51207, 50923, 60533, 50879, 51444, 78006, 51131, 56179, 50960, 65393, 51131, 54851, 50970, 65708, 50960, 54729, 50947, 63363, 50970, 54773, 51067, 55885, 51444, 56827, 51504, 57241, 51444, 50923, 61108, 51238, 51207, 51013, 50417, 50960, 56179, 51064, 65393, 50960, 53950, 51131, 51238, 51131, 51013, 50429, 50960, 54729, 50947, 63363, 50960, 54773, 51246, 51527, 50441, 50960, 55885 ]

[ 0, 250, 765, 5175, 25771, 2125, 19, 10, 2933, 8, 5679, 26709, 5466, 6, 4246, 10, 13305, 816, 10, 881, 33215, 13931, 9, 83, 406, 73, 347, 10431, 6, 211, 119, 6, 230, 10431, 37152, 6, 211, 119, 6, 8, 230, 401, 11, 10, 7212, 155, 73, 398, 86, 6543, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 23975, 1825, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52323, 50631, 50415, 50628, 52076, 52076, 52323, 51434, 74023, 50628, 50420, 51440, 53172, 51773, 53308, 51607, 55306, 51669, 55322, 52603, 50849, 52323, 51944, 55689, 52603, 55035, 51669, 54777, 51607, 55306, 51773, 55322, 51440, 50805, 52323, 52769, 50892, 51773, 55385, 52806, 53890, 52557, 50892, 51669, 56217, 51774, 54137, 51614, 50892, 52257, 56157, 52027, 50905, 52323, 56194, 50905, 51607, 57933, 52027, 56307, 51614, 50892, 53335, 60307, 51774, 53264, 52557, 50905, 52807, 60510, 52806, 50974, 52323, 52257, 50873, 52557, 60115, 52807, 53890, 54258, 50849, 51614, 57648, 53876, 53470, 54910, 50805, 51434, 59791, 58795, 50795, 52323, 53335, 50901, 52806, 57519, 58795, 51631, 54910, 50901, 51774, 57421, 53876, 54233, 54258, 50879, 51944, 55480, 52807, 50805, 52323, 54258, 50879, 52769, 55385, 52257, 53890, 52807, 50849, 51434, 57421, 54258, 55122, 53876, 50849, 52557, 56157, 54910, 50879, 52323, 52603, 50805, 51774, 60115, 54910, 53466, 53876, 50849, 51614, 56217, 54258, 52446, 52807, 50795, 52027, 56306, 52257, 50795, 52323, 52807, 50805, 53369, 57519, 52327, 54851, 52257, 50795, 51515, 56217, 52807, 54233, 54258, 50795, 52806, 56157, 53876, 50893, 52323, 51669, 50849, 52557, 55385, 53876, 54851, 54258, 50805, 51774, 55112, 52807, 55122, 52257, 50805, 51614, 56306, 52327, 50893, 52323, 52027, 50849, 52257, 56763, 51774, 50873, 52807, 53890, 51614, 50892, 54258, 55214, 52027, 50849, 52257, 51646, 51515, 50845, 52807, 51918, 51434, 50845, 54258, 50849, 52323, 52806, 50901, 51607, 66403, 51434, 52483, 51515, 54777, 52027, 54233, 51614, 53999, 51774, 50805, 52323, 51614, 50873, 52327, 56179, 52557, 50901, 52257, 53466, 51774, 50849, 52807, 55214, 51614, 50849, 52327, 55122, 52027, 50805, 52257, 55885, 51515, 50845, 52807, 50795, 52323, 52769, 50849, 51773, 55385, 51515, 53770, 52027, 52605, 51614, 53264, 51774, 50901, 52603, 56157, 52557, 50845, 52323, 52806, 55126, 53369, 54335, 52769, 50901, 51669, 55112, 52806, 54137, 52557, 50845, 51607, 55480, 51774, 50845, 52323, 53722, 50845, 52327, 55099, 51774, 50873, 52603, 53172, 52557, 50974, 51669, 54777, 52806, 50905, 51607, 53470, 52769, 50892, 51773, 55945, 53369, 50905, 51440, 50901, 52323, 52769, 50845, 51773, 52864, 55677, 50901, 51607, 53172, 53369, 50857, 51607, 68499, 58933, 54465, 51773, 50849, 52323, 57117, 50849, 51773, 65516, 54437, 51631, 53722, 50845, 52327, 55112, 55677, 53470, 53369, 50849, 52327, 62682, 52769, 50901, 52323, 52327, 50858, 56090, 63118, 52257, 52734, 52327, 50808, 52769, 59573, 52257, 52450, 52327, 50800, 53369, 62554, 52257, 53917, 52327, 50859, 55677, 58926, 52257, 55381, 52327, 50858, 53722, 66798, 52257, 54651, 52327, 50858, 54437, 53658, 52257, 50894, 52323, 52327, 50858, 53722, 66147, 52257, 55446, 52327, 50800, 55677, 53471, 52257, 52422, 52327, 50859, 53369, 62554, 52257, 54440, 52327, 50858, 52769, 53505, 52257, 52877, 52327, 50858, 52806, 61772, 52257, 54952, 52327, 50800, 52557, 67636, 52257, 50859, 52323, 52327, 50882, 54437, 71423, 52257, 53113, 52327, 50821, 52557, 63867, 52257, 53950, 52327, 50894, 52806, 65708, 52257, 53974, 52327, 50821, 52769, 63363, 52257, 55381, 52327, 50859, 53369, 60132, 52257, 55920, 52327, 50800, 55677, 62617, 52257, 50859, 52323, 52327, 50821, 53722, 55099, 55677, 50849, 52603, 52247, 53369, 50901, 51669, 54729, 53722, 50901, 51607, 53470, 55677, 50805, 51773, 56209, 53369, 50879, 51440, 50805, 52323, 52327, 50805, 58748, 53561, 51434, 52483, 51440, 52605, 51808, 55122, 51607, 52815, 51669, 50873, 52323, 54437, 50901, 52603, 52864, 53722, 50873, 51669, 53890, 55677, 50805, 51607, 54259, 54437, 50873, 51773, 51646, 53722, 50845, 51440, 52815, 55677, 50845, 51434, 50795, 52323, 52603, 50805, 56090, 60413, 51515, 54851, 51434, 54729, 51440, 53470, 51773, 52815, 51607, 50849, 52323, 51669, 50805, 57117, 65516, 52043, 53890, 52327, 50805, 52557, 57421, 52257, 52446, 52807, 50805, 52769, 55480, 54258, 50879, 52323, 52361, 50849, 55243, 60413, 54258, 51631, 52807, 50849, 56922, 57421, 52257, 54993, 52327, 50795, 56090, 56157, 52043, 50879, 52323, 53722, 50845, 52327, 55099, 56922, 50901, 52043, 54851, 53722, 50873, 52257, 55214, 55243, 50901, 52327, 52446, 53369, 50901, 52043, 55322, 52769, 50873, 51669, 50873, 52323, 52806, 50854, 52361, 60770, 52557, 54611, 52806, 50833, 51669, 53471, 52557, 53906, 52806, 50812, 52361, 54253, 52557, 51628, 52806, 50859, 51808, 58952, 52557, 52841, 52806, 50854, 51440, 66798, 52557, 52597, 52806, 50812, 51434, 53658, 52557, 50859, 52323, 52806, 50808, 51515, 76882, 52557, 51835, 52806, 50859, 51434, 60522, 52557, 53950, 52806, 73115, 58983, 52557, 52749, 52806, 50859, 51808, 57807, 52557, 52841, 52806, 50859, 52361, 69692, 52557, 52597, 52806, 50808, 51669, 59956, 52557, 50812, 52323, 52806, 50833, 51434, 60770, 52557, 52871, 52806, 50808, 52327, 63867, 52557, 51620, 52806, 50858, 52043, 62554, 52557, 52749, 52806, 50808, 51669, 53505, 52557, 52841, 52806, 50800, 52361, 61772, 52557, 54811, 52806, 50812, 51808, 53658, 52557, 50858, 52323, 52806, 73115, 76882, 52557, 52871, 52806, 50812, 51808, 60522, 52557, 53049, 52806, 50859, 52361, 60412, 52557, 51628, 52806, 50812, 51669, 60698, 52557, 52841, 52806, 50808, 52043, 66798, 52557, 51820, 52806, 50800, 52327, 62617, 52557, 50808, 52323, 52806, 50808, 51808, 78006, 52557, 52871, 52806, 50812, 52807, 65393, 52557, 52710, 52806, 50833, 52257, 65708, 52557, 53627, 52806, 50808, 52327, 60698, 52557, 51724, 52806, 50812, 52043, 66798, 52557, 51820, 52806, 50854, 51669, 53658, 52557, 50854, 52323, 52361, 50893, 52806, 57519, 51669, 53466, 52043, 50879, 51440, 53182, 52327, 54993, 52257, 50879, 51434, 58141, 52807, 50805, 52323, 51669, 50873, 51515, 55385, 54258, 54851, 52807, 50795, 51660, 57173, 52257, 51646, 52327, 50849, 51614, 56157, 52043, 50849, 52323, 54910, 50849, 51434, 60413, 56416, 53466, 54797, 50873, 51440, 57421, 52807, 52446, 51773, 50981, 54910, 51218, 52323, 51434, 57933, 52257, 54851, 51440, 50889, 52043, 68499, 52806, 55480, 51669, 50805, 52323, 51614, 50836, 51669, 60055, 53722, 53466, 55677, 52605, 53369, 50845, 51669, 52446, 52769, 50845, 52603, 52815, 54632, 50849, 52327, 50795, 52323, 58748, 50873, 51434, 53561, 54632, 53466, 52769, 50805, 51808, 64919, 53369, 55306, 55677, 50901, 51669, 62682, 53722, 50901, 52323, 52603, 50849, 54437, 70506, 51607, 52483, 51669, 51736, 54437, 50805, 52603, 53470, 53722, 50805, 52327, 53969, 55677, 50849, 52257, 50879, 52323, 51440, 50849, 58933, 65516, 52257, 53890, 71175, 54437, 56217, 52603, 51646, 51669, 50795, 53369, 60510, 51607, 50795, 52323, 51669, 50836, 52557, 55099, 51774, 52483, 51614, 50873, 54258, 55214, 51660, 50845, 52807, 51646, 51944, 50873, 54258, 55480, 51434, 50845, 52323, 52806, 50805, 51607, 53561, 51434, 53466, 52807, 50890, 51944, 53308, 51660, 53470, 51614, 53969, 51774, 50849, 52323, 52257, 50795, 52557, 57519, 52807, 51631, 54258, 50849, 51614, 57547, 53876, 53470, 54910, 50849, 51434, 58141, 58795, 50873, 52323, 53335, 50901, 52806, 57933, 58795, 53890, 54910, 50901, 51774, 57421, 53876, 52446, 54258, 50795, 51944, 59242, 52807, 50849, 52323, 52769, 50974, 54258, 65516, 52806, 53770, 52557, 50892, 52257, 55112, 51774, 54233, 51614, 50873, 51607, 58141, 52027 ]

[ 0, 713, 14899, 3495, 2214, 22750, 1626, 11098, 8, 8593, 26358, 6, 1969, 13, 5, 1619, 191, 50, 2365, 1061, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 2382, 3459, 29589, 6, 3152, 6757, 6, 8, 21072, 6, 2351, 10, 31612, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 2214, 22848, 10, 11739, 9, 211, 6, 230, 401, 6, 8, 211, 401, 40286, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 57913, 50818, 78808, 51809, 51762, 50425, 51762, 50433, 51676, 51353, 51829, 51353, 52328, 51359, 50796, 50435, 52333, 51343, 51676, 51189, 51982, 51295, 50452, 51859, 53082, 51617, 53090, 51829, 51359, 50796, 50452, 51829, 57622, 51982, 65601, 52328, 51343, 57731, 51676, 51353, 51982, 51264, 52333, 51655, 59412, 51676, 51218, 52333, 50983, 50442, 51859, 51692, 51617, 51161, 51829, 51103, 52177, 51829, 50942, 51982, 50897, 50419, 52328, 51235, 50427, 51676, 51538, 52333, 51161, 51982, 51518, 50461, 51676, 51353, 51829, 51353, 52328, 51359, 51871, 50993, 51332, 52442, 51217, 51795, 50988, 51184, 50885, 51184, 50847, 52442, 75696, 52442, 61797, 60517, 51871, 50823, 51570, 52568, 51666, 50802, 56403, 57859, 51908, 60271, 51871, 50993, 51601, 51982, 51295, 52333, 51343, 51676, 51189, 50419, 51908, 60134, 51666, 51156, 58976, 51829, 51359, 51164, 51184, 50432, 51859, 53082, 51617, 53090, 51531, 51066, 50946, 52442, 50885, 51184, 50433, 50872, 51184, 50909, 52442, 66651, 52267, 51531, 65836, 50791, 50817, 59412, 50791, 56987, 51982, 51345, 51666, 50993, 50442, 52328, 51175, 51908, 52715, 58977, 50988, 52442, 50450, 51676, 51353, 50848, 52442, 50847, 52442, 50451, 51982, 51264, 52333, 51655, 51871, 51066, 50935, 52737, 51621, 50949, 51601, 51871, 60066, 50791, 62968, 51666, 56059, 51908, 52715, 58977, 51871, 51066, 50452, 52333, 50983, 50453, 51676, 51218, 50457, 51908, 66426, 51666, 52715, 50817, 55753, 51829, 51103, 51859, 51692, 51164, 51407, 50946, 51407, 50422, 51617, 51161, 51531, 50993, 50885, 51407, 50872, 51407, 50423, 50909, 51407, 55994, 56987, 51531, 52284, 51829, 50942, 50445, 51982, 62150, 52328, 51235, 51618, 57916, 50988, 51352, 50455, 51676, 51538, 52333, 51161, 51982, 51518, 50848, 51407, 50847, 51407, 50456, 50935, 51352, 50459, 51666, 50860, 51601, 51908, 52715, 52302, 51871, 50993, 50428, 51908, 54179, 51666, 51805, 62602, 51531, 62281, 53375, 51346, 51332, 51184, 51217, 51184, 50441, 51829, 51353, 52328, 51359, 52587, 51184, 51871, 50993, 50988, 51184, 50885, 51184, 50847, 51184, 50909, 52442, 74004, 54085, 51871, 50823, 53375, 50910, 52478, 50791, 57834, 51666, 50802, 51871, 66900, 51908, 50860, 52368, 56022, 52676, 51871, 51066, 50439, 53375, 51116, 50443, 52333, 51343, 51982, 51295, 52645, 51294, 50447, 51908, 50823, 52368, 50910, 50451, 51871, 50840, 51666, 51156, 53736, 51617, 53090, 51829, 51359, 51531, 51066, 51691, 51346, 51164, 51184, 50460, 51758, 52500, 50946, 52442, 50885, 51184, 50461, 50872, 51184, 50909, 52442, 50796, 51039, 63863, 51531, 50860, 51691, 50938, 63842, 50817, 51647, 60488, 51829, 50854, 51982, 51345, 50461, 53311, 51059, 50799, 51871, 50805, 51666, 50993, 50422, 52328, 51175, 52368, 50910, 51908, 52715, 62938, 50988, 52442, 50429, 50848, 52442, 50430, 52333, 51655, 51982, 51264, 51871, 51066, 54237, 51346, 50847, 52442, 50935, 52737, 50431, 51995, 52500, 55094, 60644, 69824, 54237, 50808, 51871, 52911, 55094, 50455, 50791, 50817, 51601, 50798, 52302, 51666, 50860, 51871, 50938, 50424, 52368, 50938, 51908, 52715, 62938, 54237, 51346, 51871, 51066, 50431, 52645, 51364, 50432, 51676, 51218, 52333, 50983, 55094, 50437, 51908, 50823, 52368, 50910, 50441, 51666, 50860, 51871, 56022, 64223, 51758, 51356, 51164, 51407, 50449, 51617, 51161, 51829, 51103, 51691, 51116, 51531, 50993, 50946, 63783, 52568, 50885, 51407, 50872, 51407, 73466, 51407, 55779, 50817, 50799, 51531, 50803, 51691, 63814, 55094, 50424, 51829, 50854, 51982, 55640, 52328, 51235, 53311, 55188, 56987, 50988, 66984, 53785, 52333, 51161, 51982, 51518, 51995, 51196, 50848, 51407, 50847, 51407, 50436, 50935, 51352, 50439, 51666, 50860, 51871, 50938, 50443, 51908, 50860, 52368, 56022, 53851, 51871, 50993, 54237, 51116, 50451, 50798, 52193, 51908, 50823, 52368, 50910, 50460, 51995, 50975, 51666, 50823, 51871, 56776, 74756, 51809, 51531, 50803, 51908, 52734, 52587, 51235, 52047, 50821, 51401, 50821, 51871, 50993, 53375, 72877, 68936, 51829, 51353, 52328, 51359, 55094, 50424, 52047, 50827, 51401, 50827, 52261, 50428, 51815, 50921, 54321, 51695, 61361, 52947, 50933, 53375, 50910, 51871, 51805, 57320, 51995, 51160, 51401, 52589, 51695, 51625, 61184, 51401, 54220, 65266, 51282, 54332, 51695, 51031, 50449, 69211, 52320, 62962, 52587, 51167, 52047, 50821, 51401, 52589, 51695, 56995, 52047, 50827, 51401, 50827, 51871, 50805, 51666, 51331, 50895, 50799, 51815, 50880, 51908, 50860, 52368, 57370, 51695, 77459, 51282, 51167, 53375, 51346, 51871, 55886, 60480, 51982, 51295, 51995, 51460, 50832, 53578, 52333, 51343, 56498, 55229, 51401, 50921, 50427, 51908, 50823, 52368, 50910, 51320, 60759, 51282, 51167, 51666, 50811, 51871, 54218, 55498, 51556, 59764, 51617, 53090, 51829, 51359, 51758, 51603, 51616, 75631, 50821, 51531, 51066, 51691, 51346, 56498, 69824, 51616, 50827, 51118, 54225, 53641, 52159, 50921, 57471, 51695, 66803, 52159, 50827, 51531, 50860, 51691, 56022, 52349, 52587, 51167, 51118, 52589, 51695, 53551, 60488, 51118, 50827, 52105, 51809, 51083, 63159, 51695, 50949, 61797, 80148, 51758, 51160, 51616, 75631, 52589, 51695, 58146, 51616, 50827, 51118, 54225, 73247, 50843, 58167, 52159, 54332, 50898, 71150, 51083, 55422, 57512, 51829, 50854, 50440, 51982, 51345, 50441, 52587, 51379, 51666, 75909, 60178, 51871, 50805, 51320, 67562, 51118, 62888, 51320, 55245, 52328, 51175, 51083, 51192, 51908, 50860, 52368, 56776, 51759, 51031, 56403, 75911, 51982, 51264, 52333, 51655, 51995, 51160, 51401, 50858, 51083, 50821, 51871, 51066, 54237, 51346, 56498, 50817, 70782, 50827, 51083, 54225, 68316, 51557, 50921, 50419, 50804, 51695, 56828, 51557, 50933, 51871, 50803, 54237, 51582, 59485, 52660, 51167, 51083, 53393, 51695, 53551, 58976, 51083, 51014, 51020, 51014, 51401, 56214, 53593, 51089, 54078, 51695, 50949, 60644, 69396, 51401, 51454, 50843, 54586, 51995, 51354, 51083, 51454, 51020, 51454, 55094, 50448, 51401, 79597, 50803, 51666, 50860, 51871, 56022, 62353, 51908, 50860, 52368, 61061, 51463, 52193, 51401, 50975, 51083, 51354, 51871, 51066, 54237, 69365, 50949, 50460, 51676, 51218, 52333, 50983, 52660, 51379, 50832, 51695, 56583, 50817, 52177, 51815, 50911, 51908, 50860, 52368, 50938, 51320, 68936, 51666, 50860, 51871, 61061, 51463, 60517, 50791, 54396, 51617, 51161, 51829, 51103, 51758, 51167, 51616, 75631, 50821, 51531, 50993, 51691, 51116, 56498, 58167, 51616, 50827, 51118, 54225, 57244, 50843, 71150, 52159, 54332, 50817, 51570, 61184, 51083, 50806, 50442, 51531, 50803, 51691, 54692, 59587, 50832, 56877, 52587, 51354, 51320, 55245, 51118, 63556, 66803, 51829, 50942, 51982, 69821, 52328, 51235, 51083, 63159, 51636, 60506, 50949, 50799, 51982, 51518, 50415, 52333, 51161, 51995, 51483, 51401, 51192, 51083, 51192, 51320, 51031, 50419, 77600, 72154, 51666, 50860, 51871, 61676, 53578, 51758, 51354, 51616, 51192, 52368, 50938, 51908, 50860, 52777, 60854, 51616, 50874, 51871, 50993, 54237, 51116, 50843, 75347, 52645, 51354, 51815, 51167, 51320, 54151, 50832, 53785, 51908, 65733, 51815, 50827, 52368, 56776, 51695, 51031, 53550, 62968, 52660, 51021, 51763, 51192, 51871, 50910, 51666, 52865, 59252, 51763, 50874, 51531, 50803, 51908, 52764, 55498, 50448, 51953, 54527, 51676, 53898, 52587, 51167, 70613, 50975, 51915, 51520, 55453, 66803, 51020, 65889, 50809 ]

[ 0, 250, 765, 15855, 2125, 13, 5540, 12280, 642, 6, 42, 15229, 1931, 21683, 10, 12298, 1619, 4780, 4, 8504, 11, 83, 538, 19, 10, 112, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 7212, 20889, 6, 7630, 14805, 6453, 9, 7125, 8, 11098, 4, 20, 40286, 163, 119, 6, 83, 6, 8, 211, 146, 10, 4315, 2772, 6, 1271, 7, 5, 2214, 18, 19448, 8, 5679, 26709, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50628, 51601, 55039, 51709, 52890, 51267, 50417, 53715, 50987, 52566, 50866, 50418, 53748, 51008, 53260, 50942, 55039, 51709, 52890, 51267, 50419, 52890, 50942, 53436, 65739, 53715, 50987, 52566, 50866, 50421, 53748, 51008, 53260, 71876, 53436, 65605, 52890, 57629, 57215, 51576, 54029, 51400, 50428, 53472, 50978, 52697, 60713, 55052, 51051, 54895, 50925, 57215, 51576, 54029, 51400, 50430, 54029, 50977, 55554, 50937, 50431, 53472, 50978, 52697, 53961, 55052, 51051, 54895, 79939, 55554, 78344, 54029, 50977, 50436, 53715, 51253, 52566, 67272, 53748, 51006, 53260, 50937, 50439, 52650, 51008, 53039, 50925, 52566, 51056, 50440, 52566, 50874, 53647, 50808, 53715, 51253, 50441, 53748, 51006, 53260, 50937, 50442, 52650, 51008, 53039, 50925, 50443, 53647, 52711, 52566, 67267, 53472, 51253, 52697, 51056, 50448, 55052, 50959, 54895, 50925, 50449, 52697, 70147, 52890, 50844, 53436, 50833, 53472, 51253, 50451, 52697, 50822, 54723, 50800, 55052, 50959, 54895, 50925, 50453, 52890, 50844, 53436, 66145, 52697, 50822, 54723, 59747, 53748, 51391, 53260, 51351, 50459, 52650, 51380, 53039, 51109, 50460, 54029, 51380, 55554, 51109, 53748, 51391, 53260, 51351, 50461, 53260, 51194, 50799, 55802, 51043, 52650, 51380, 53039, 51109, 50415, 54029, 51380, 55554, 51109, 50417, 53260, 51194, 55802, 79865, 53472, 51218, 52697, 51318, 50436, 55052, 51803, 54895, 52783, 50437, 53472, 51218, 52697, 51318, 50438, 52890, 51183, 53436, 51103, 50439, 52697, 51417, 55052, 51803, 54895, 52783, 50440, 54723, 51562, 50441, 52890, 51183, 53436, 51103, 50443, 52697, 51417, 54723, 51562, 50796, 50430, 55039, 51400, 52890, 51411, 50432, 53715, 50925, 52566, 50955, 50433, 53748, 50942, 53260, 50942, 52890, 51411, 50434, 55039, 51400, 50435, 52890, 50854, 53436, 50810, 52566, 50955, 50436, 53715, 50925, 53260, 50942, 50437, 53748, 58927, 52890, 50854, 53436, 56532, 57215, 51233, 54029, 51043, 50442, 53472, 50933, 52697, 50959, 50443, 55052, 50878, 54895, 63634, 57215, 51233, 54029, 51043, 50445, 54029, 50933, 52697, 50959, 55554, 69775, 53472, 50933, 54895, 67168, 55052, 50878, 50448, 54029, 50933, 55554, 58332, 53715, 51267, 52566, 51267, 50452, 53748, 50955, 53260, 50955, 50453, 52650, 50933, 53039, 50942, 52566, 51267, 50454, 52566, 50844, 73283, 53715, 51267, 50455, 53748, 50955, 53260, 59631, 52650, 50933, 53039, 50942, 50457, 53647, 62371, 52566, 56569, 53472, 51267, 52697, 51109, 50461, 55052, 51051, 54895, 50910, 50799, 52697, 51109, 50415, 52890, 50822, 53436, 50810, 53472, 51267, 50416, 52697, 50874, 54723, 50854, 54895, 50910, 50417, 55052, 51051, 50418, 52890, 50822, 53436, 75802, 54723, 54611, 52697, 65369, 53748, 51108, 50422, 53260, 50915, 50423, 52650, 51174, 50424, 53039, 50977, 53260, 50915, 50425, 54029, 50978, 55554, 50977, 53748, 60184, 53260, 50854, 53039, 50977, 50427, 55802, 50854, 52650, 51174, 50428, 54029, 50978, 55554, 50977, 50430, 53260, 50854, 55802, 65053, 53472, 51199, 52697, 51199, 50435, 55052, 51328, 54895, 51177, 50437, 52890, 50878, 53436, 50925, 52697, 59612, 54895, 51177, 53472, 51199, 50439, 52697, 50833, 54723, 50808, 55052, 51328, 50440, 53436, 78013, 52890, 66479, 52697, 50833, 54723, 53668, 57215, 51391, 54029, 51134, 50449, 53472, 50942, 52697, 58248, 54029, 51134, 50451, 55052, 51008, 54895, 50925, 57215, 51391, 50452, 53472, 50942, 52697, 50959, 50453, 54029, 50942, 55554, 68714, 55052, 51008, 54895, 58298, 55554, 78767, 54029, 50942, 51601, 53472, 51680, 52697, 52015, 50417, 55052, 51148, 54895, 51047, 50418, 53472, 51680, 52697, 52015, 50419, 52890, 51790, 50420, 55052, 51148, 54895, 51047, 53436, 51790, 50421, 52697, 51592, 50422, 52890, 51790, 54723, 51662, 50423, 53436, 51790, 50425, 52697, 51592, 54723, 51662, 51809, 52650, 51400, 53039, 51400, 50418, 54029, 50866, 55554, 50937, 50419, 52697, 50978, 54723, 50917, 53039, 51400, 50420, 52650, 51400, 50421, 53039, 50874, 57545, 50833, 54029, 50866, 55554, 50937, 50422, 54723, 78768, 52697, 50978, 50424, 53039, 50874, 57545, 53049, 55052, 51484, 50427, 54895, 51162, 50428, 52890, 50892, 53436, 72373, 54361, 50845, 56976, 50892, 54895, 51162, 50430, 55052, 51484, 50431, 54895, 50851, 64156, 50810, 52890, 50892, 53436, 56427, 56976, 68570, 54361, 67632, 54895, 50851, 64156, 62903, 53748, 51097, 53260, 56692, 52650, 50878, 50439, 53039, 50959, 53260, 50981, 50440, 54029, 50854, 55554, 50854, 53748, 75576, 53260, 51008, 53039, 50959, 55802, 50942, 50442, 52650, 50878, 50443, 54029, 50854, 55554, 54746, 53260, 51008, 55802, 67168, 55052, 51255, 54895, 51203, 50448, 52890, 50977, 53436, 58262, 54361, 51174, 56976, 51058, 55052, 51255, 54895, 51203, 50451, 54895, 50822, 64156, 50808, 53436, 50978, 50452, 52890, 77462, 54361, 51174, 56976, 51058, 50454, 64156, 67230, 54895, 64801, 53748, 51637, 53260, 51310, 50459, 52650, 51642, 53039, 51043, 50460, 54029, 51775, 53748, 51637, 53260, 51310, 50461, 55554, 51400, 50799, 53260, 51212, 55802, 51101, 52650, 51642, 53039, 51043, 50415, 55554, 51400, 50416, 54029, 51775, 50417, 55802, 51101, 50418, 53260, 51212, 50433, 53472, 51080, 52697, 51080, 50435, 55052, 51283, 54895, 51318, 50436, 52697, 51080, 50437, 52890, 51637, 53436, 51295, 53472, 60934, 55052, 51283, 54895, 51318, 52697, 52168, 50439, 54723, 51591, 50440, 52890, 51637, 53436, 51295, 50442, 52697, 52168, 54723, 51591, 55746, 52650, 51411, 53039, 51025, 50428, 54029, 50987, 55554, 69353, 53039, 51025, 50430, 52697, 51008, 54723, 50897, 52650, 51411, 50431, 55554, 56504, 53039, 50854, 57545, 50812, 54029, 50987, 50433, 52697, 51008, 54723, 68066, 53039, 50854, 57545, 60831, 55052, 51411, 54895, 51377, 50438, 52890, 50978, 50439, 53436, 51058, 50440, 54361, 50892, 56976, 50901, 55052, 51411, 54895, 51377, 50441, 54895, 50878, 64156, 50897, 53436, 51058, 50442, 52890, 50978, 50443, 54361, 50892, 56976, 55945, 54895, 50878, 64156, 68788, 53748, 51267, 53260, 51267, 50449, 52650, 50933, 53039, 58238, 54029, 50851, 55554, 50833, 53748, 51267, 53260, 51267, 50452, 52650, 50933, 53260, 50942, 53039, 50955, 55802, 50955, 50453, 55554, 66145, 54029, 75635, 53260, 50942, 55802, 50955, 50457, 55052, 51775, 54895, 51025, 50458, 52890, 50933, 53436, 50959, 50460, 54361, 50878, 56976, 50955, 55052, 51775, 54895, 51025, 50461, 54895, 50851, 64156, 50808, 53436, 50959, 50799, 52890, 50933, 50415, 54361, 50878, 56976, 50955, 50416, 64156, 54275, 54895, 50851, 50418, 53748, 50915, 53260, 57933, 52650, 50878, 53039, 50959, 50421, 54029, 50987, 53260, 50915, 50422, 55554, 50937, 53748, 50915, 50423, 53260, 50813, 55802, 50840, 53039, 50959, 50424, 52650, 50878, 50425, 54029, 50987, 55554, 57817, 55802, 64502, 53260, 58528, 53472, 50901, 52697, 54342, 55052, 50838, 54895, 69116, 52890, 51174, 53436, 50987, 52697, 70139, 52697, 50978, 54723, 50937, 53472, 61647, 55052, 50838, 54895, 50845, 50436, 52890, 51174, 53436, 50987, 50437, 54723, 58020, 52697, 50978, 50442, 57215, 51172, 54029, 76097, 53472, 50874, 52697, 68164, 55052, 50822, 54895, 50854, 54029, 51203, 50446, 57215, 51172, 50447, 53472, 50874, 54029, 50844, 52697, 50874, 55554, 66372, 54895, 65261, 55052, 53140, 54029, 50844, 55554, 67230, 53472, 66983, 52697, 51212, 50457, 55052, 50977, 54895, 77568, 52890, 50955, 53436, 50925, 52697, 51212 ]

[ 0, 250, 2635, 8, 3722, 3495, 13305, 2125, 11, 211, 538, 6, 4246, 10, 16331, 33215, 16739, 9, 211, 119, 6, 1918, 6, 8, 211, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 1191, 13410, 228, 2289, 6, 42, 8787, 15229, 7630, 6568, 10, 11739, 9, 15073, 8, 15352, 30054, 4002, 6, 2351, 10, 25306, 5466, 14, 326, 16148, 23, 5, 1144, 40563, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 51279, 51313, 51027, 51313, 54734, 52096, 51050, 52096, 53975, 51333, 53502, 55752, 50619, 50899, 52528, 50438, 50619, 51027, 51490, 57528, 50916, 70240, 52845, 50294, 50918, 54569, 70240, 51333, 53523, 70240, 51333, 56014, 70240, 65461, 50619, 51214, 50918, 51086, 51490, 50861, 51490, 50456, 50623, 50899, 67273, 50916, 51074, 54662, 57055, 77418, 51333, 60284, 60998, 52136, 50906, 52136, 56759, 57345, 50899, 52980, 50438, 50619, 51120, 63656, 51490, 50877, 51490, 57528, 51120, 57055, 52845, 50313, 74606, 51315, 60998, 65186, 51108, 53337, 59219, 71445, 50983, 56014, 61817, 56656, 50619, 51026, 50918, 51086, 51047, 65218, 71136, 50795, 57528, 51234, 57055, 56793, 53561, 51050, 60998, 51141, 50906, 51141, 56759, 57345, 50899, 51452, 50438, 50621, 51120, 63656, 51148, 78872, 51540, 50623, 50900, 51490, 50871, 51490, 51279, 52045, 54439, 51447, 60496, 51314, 60027, 75575, 77132, 51036, 50462, 50861, 51939, 50876, 51939, 51540, 50900, 51145, 50916, 51145, 51085, 51036, 53645, 51145, 57267, 69600, 50876, 51183, 50951, 51183, 50916, 51161, 50462, 72683, 50474, 50989, 64815, 50918, 50480, 50861, 50889, 51540, 51026, 74882, 51077, 57025, 51492, 50438, 50623, 50899, 73757, 75377, 50968, 50918, 50951, 56811, 50989, 73757, 75377, 50968, 50918, 50951, 50918, 50462, 50916, 64806, 51161, 50968, 51161, 50474, 50989, 50918, 54594, 60939, 56831, 53561, 50989, 60939, 56831, 52910, 50916, 55890, 60939, 53182, 50861, 60939, 75628, 51492, 60496, 56472, 57260, 58627, 50973, 64424, 56157, 50989, 52728, 50916, 55695, 68504, 57414, 50623, 50989, 57543, 60250, 50995, 50457, 50623, 50458, 50623, 50459, 50623, 50460, 50622, 50461, 50622, 61791, 50861, 60939, 60473, 50932, 50415, 50622, 50416, 50621, 50417, 50621, 50418, 50621, 50419, 50621, 50420, 50620, 50989, 57543, 66102, 51330, 50421, 50620, 50422, 50620, 50423, 50620, 50424, 50619, 50425, 50619, 50426, 50622, 50916, 52382, 50861, 57820, 50973, 57820, 66243, 50634, 50899, 60268, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 55898, 60268, 60268, 50981, 55989, 60268, 60268, 50981, 56279, 60268, 60268, 58667, 50899, 60268, 60268, 50981, 71543, 60268, 60268, 50981, 54569, 60268, 75055, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 51034, 51315, 73587, 60268, 50981, 50417, 51050, 50948, 54569, 60268, 69836, 54527, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 62163, 75440, 52536, 55898, 62163, 50981, 55989, 62163, 50981, 71543, 62163, 50981, 54569, 62163, 50981, 53337, 62163, 57547, 50899, 62163, 69836, 51343, 55898, 62163, 50981, 55989, 62163, 78494, 51343, 71543, 62163, 50981, 54569, 62163, 51741, 50296, 51343, 53337, 62163, 57547, 50899, 62163, 51741, 50290, 51343, 55898, 62163, 50981, 55989, 62163, 51741, 50290, 51343, 71543, 62163, 50981, 54569, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 71543, 60268, 50981, 54569, 60268, 75055, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 50981, 51034, 51315, 73587, 60268, 50981, 50417, 51050, 50948, 54569, 60268, 69836, 51941, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 69836, 51343, 71543, 60268, 50981, 54569, 60268, 75055, 51343, 53337, 60268, 57547, 50899, 62163, 75440, 54527, 55898, 62163, 50981, 55989, 62163, 50981, 71543, 51411, 50906, 50981, 54569, 62163, 50981, 53337, 62163, 57547, 50899, 62163, 50981, 55898, 62163, 50981, 55989, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 75055, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 56692, 51315, 69266, 60268, 77052, 51050, 54651, 50899, 60268, 69836, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 69836, 51343, 55898, 60268, 50981, 55989, 60268, 75055, 51343, 71543, 60268, 50981, 54569, 62163, 75440, 54527, 53337, 62163, 57547, 50899, 62163, 50981, 55898, 51411, 50906, 50981, 55989, 62163, 50981, 64690, 62163, 50981, 54569, 62163, 50981, 53337, 62163, 57547, 50899, 60268, 51741, 50282, 51941, 51279, 51941, 51120, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 60268, 50981, 55989, 60268, 75055, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 56692, 51315, 69266, 60268, 77052, 51050, 54651, 50899, 60268, 69836, 51941, 71543, 60268, 50981, 54569, 60268, 50981, 53337, 60268, 57547, 50899, 60268, 50981, 55898, 57543, 53218, 50899, 70866, 52297, 50275, 50918, 51214, 50918, 71543, 70866, 51013, 54569, 74694, 51016, 53337, 74694, 52530, 50278, 54527, 51234, 54527, 58296, 60599, 53585, 50899, 60599, 55451, 50899, 53177, 50313, 53177, 50275, 51551, 51214, 51551, 71543, 53177, 50313, 51090, 54569, 73523, 51054, 53337, 73523, 53531, 50280, 51552, 51085, 51552, 58296, 74760, 51237, 55898, 51066, 50877, 50824, 53492, 51761, 51234, 51761, 55989, 74760, 51237, 64690, 53177, 50313, 53177, 50275, 51343, 51214, 51343, 54569, 60599, 53765, 55774, 52530, 50287, 75677, 74694, 62138, 50619, 53667, 51941, 51279, 51941, 50899, 51161, 50877, 51161, 51018, 50444, 50634, 51027, 52140, 50899, 52140, 51018, 55902, 80095, 55752, 50877, 64900, 57524, 50861, 52845, 50315, 67302, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 79395, 50973, 52845, 50318, 51333, 63174, 78181, 67302, 51027, 52140, 50899, 52140, 51018, 55902, 80095, 55752, 50877, 64900, 57524, 50861, 52845, 50315, 67302, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 79395, 50973, 52845, 50318, 51333, 63174, 78181, 67302, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 51018, 58060, 52136, 50968, 52136, 60496, 64900, 59837, 50876, 52845, 50320, 52845, 50301, 52140, 50899, 52140, 51018, 58060, 52136, 50968, 52136, 60496, 64900, 59837, 50876, 52845, 50320, 52845, 50301, 51314, 50899, 51314, 51018, 58973, 52845, 50322, 67995, 51027, 73790, 61341, 52845, 50320, 67302, 51114, 52845, 50325, 52845, 50301, 51314, 50899, 51314, 79395, 51114, 52845, 50325, 67995, 51027, 73790, 61341, 52845, 50320, 67302, 51027, 52168, 50899, 52168, 51018, 55902, 80095, 55752, 50877, 78181, 51333, 63809, 70313, 62543, 80095, 59837, 50876, 52845, 50320, 52845, 50301, 52168, 50899, 52168, 79395, 50973, 52845, 50320, 51333, 63174, 78181, 51333, 63809, 70313, 57997, 51027, 52168, 50899, 52168, 51018, 55902, 80095, 55752, 50877, 64900, 57524, 50861, 52845, 50315, 51333, 63809, 70313, 57997, 50876, 52845, 50320, 52845, 50301, 52168, 50899, 52168, 79395, 50973, 52845, 50318, 51333, 63174, 78181, 51333, 63809, 70313, 57997, 50876, 52845, 50320, 52845, 50301, 51314, 50899, 51314, 51018, 58973, 52845, 50322, 67995, 51027, 73790, 67889, 52845, 50322, 67302, 50902, 52845, 50322, 52845, 50301, 51314, 50899, 51314, 51018, 58060, 52845, 50320, 67995, 51027, 73790, 72396, 52845, 50320, 51333, 58365, 80095, 52216, 50301, 73790, 51108, 51034, 50877, 64900, 51074, 56945, 73790, 63821, 52845 ]

[ 0, 250, 765, 37903, 9, 41, 20425, 5175, 3836, 1349, 4246, 10, 38668, 483, 6, 2352, 6757, 6, 3459, 9590, 6, 21072, 6, 8, 20642, 2323, 4, 20, 33301, 16, 278, 11, 5, 762, 9, 381, 538, 19, 10, 1769, 20889, 9, 10529, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 272, 6, 83, 6, 163, 119, 406, 6, 381, 6, 8, 230, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 53470, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 59187, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 55758, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57431, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 64967, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 59187, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 55758, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 57431, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 53470, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 59187, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 55758, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57431, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 50423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 62109, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 64967, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 59187, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 55758, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 57431, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 50917, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 52906, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 55163, 52565, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 54260, 52210, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 57383, 52396, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 54260, 52349, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57383, 50818, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 60596, 52432, 50852, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 51100, 50852, 52565, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 54260, 52210, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 57383, 52396, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 54260, 52349, 52452, 50917, 54133, 50917, 53079, 50917, 55939, 50917, 54304, 50938, 58827, 50938, 55585, 50938, 61854, 50938, 50706, 50342, 57383, 50818, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 60596, 52432, 50852, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 55163, 52565, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 54260, 52210, 52987, 50917, 53714, 50917, 52408, 50917, 52452, 50917, 55546, 50938, 57719, 50938, 55010, 50938, 54304, 50938, 67409, 57383, 52396, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 54260, 52349, 53638, 50917, 53112, 50917, 53134, 50917, 52751, 50917, 57237, 50938, 56283, 50938, 57255, 50938, 56968, 50938, 79810, 57383, 50818, 50799, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 60596, 52432, 50852, 53423, 52408, 51100, 53190, 51100, 52751, 51100, 53079, 51100, 55010, 51111, 57306, 51111, 56968, 51111, 55585, 51111, 67469, 51100, 51544, 52209, 52408, 50849, 53190, 50849, 52751, 50849, 53079, 50849, 55010, 50805, 57306, 50805, 56968, 50805, 55585, 50805, 67469, 51100, 50852, 52565, 52117, 50917, 52751, 50917, 52174, 50917, 53512, 50917, 54391, 50938, 56968, 50938, 55849, 50938, 59058, 50938, 50706, 50340, 54260, 52210, 52117, 50917, 52751, 50917, 52174, 50917, 53512 ]

[ 0, 250, 19448, 19834, 2125, 19, 25771, 4785, 6, 4246, 13305, 6, 3551, 139, 6, 3459, 8669, 6, 21979, 9590, 6, 8, 38668, 22052, 6, 7630, 14805, 10, 1619, 8, 5679, 26709, 6711, 4, 8504, 11, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 26658, 23, 41, 178, 5285, 20889, 6, 19, 5, 40286, 163, 119, 1176, 406, 8, 163, 401, 12748, 5, 46336, 4811, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 54281, 51244, 54872, 52256, 52571, 52256, 51465, 52256, 52733, 51381, 51086, 51115, 50956, 51115, 50965, 51115, 51493, 51218, 52120, 58278, 50828, 55323, 51115, 55724, 51115, 59624, 51115, 50415, 52316, 52204, 50420, 53008, 51797, 56457, 51912, 51328, 55722, 52417, 53008, 73098, 51452, 51040, 51452, 50916, 51452, 50965, 51452, 51668, 50943, 54003, 50829, 53941, 51452, 58209, 51452, 54850, 51452, 59624, 51452, 50433, 54872, 52783, 52571, 52783, 51465, 52783, 54360, 51145, 51366, 51233, 52120, 52878, 53008, 51174, 51668, 50873, 56890, 51912, 51174, 52318, 50943, 55722, 52579, 51366, 50995, 54003, 50829, 54281, 51145, 54872, 52256, 52571, 52256, 51465, 52256, 52733, 52059, 51086, 51115, 50956, 51115, 50965, 51115, 51493, 51218, 64765, 55323, 51115, 55724, 51115, 59624, 71215, 53008, 51642, 56457, 51912, 50892, 55722, 52417, 53008, 50972, 51590, 51397, 51040, 51452, 50916, 51452, 51668, 50943, 54003, 50829, 58209, 51452, 54850, 51452, 50433, 54872, 52980, 52571, 52980, 51465, 52980, 54360, 51477, 51366, 51852, 52120, 52878, 53008, 51753, 51668, 50873, 56890, 51912, 51051, 52659, 50943, 55722, 53922, 51674, 52863, 51910, 50892, 51547, 50810, 51366, 50972, 54003, 54794, 51366, 50810, 54281, 51244, 54872, 52256, 51465, 52256, 51672, 52256, 51547, 50845, 52733, 51381, 51176, 51619, 50305, 50915, 51493, 51218, 51984, 51218, 64765, 55403, 50915, 58209, 50915, 50415, 52316, 52204, 50420, 53008, 51797, 51674, 50915, 56457, 51912, 51328, 51086, 51452, 55722, 50820, 55323, 51452, 50432, 53008, 51376, 51912, 51047, 51668, 51675, 51984, 51675, 54003, 57107, 54872, 52783, 51465, 52783, 51672, 52783, 54360, 51145, 51366, 51233, 52120, 52878, 53008, 51174, 56890, 51912, 51174, 55722, 52579, 51366, 50845, 51366, 50995, 54003, 50829, 54281, 51145, 54872, 52256, 51465, 52256, 51672, 52256, 51547, 50845, 52733, 52059, 51176, 51115, 51040, 51115, 51493, 51218, 64765, 55403, 51115, 58209, 71215, 53008, 51642, 51590, 50915, 56457, 51912, 50892, 55722, 52417, 53008, 50972, 51674, 51452, 51027, 51452, 51040, 51452, 50916, 51452, 51668, 50943, 54003, 50829, 53941, 51452, 58209, 51452, 54850, 51452, 50433, 54872, 52980, 51465, 52980, 51672, 52980, 50435, 66178, 54360, 51477, 51366, 51852, 52120, 52878, 53008, 51753, 51668, 50873, 56890, 51912, 51051, 52659, 50943, 55722, 52579, 51910, 50892, 51366, 50972, 54003, 54794, 69386, 54281, 51310, 54872, 51314, 52571, 51314, 51465, 51314, 51366, 51312, 51176, 51145, 50956, 51145, 51493, 51127, 51668, 51127, 64765, 55403, 51047, 55724, 51047, 50415, 52316, 75192, 52733, 51477, 56457, 51912, 50873, 55722, 52417, 51374, 51174, 53008, 51006, 54003, 50829, 57144, 51244, 51772, 51312, 53042, 66782, 51145, 50965, 51145, 51668, 51127, 53240, 51127, 64765, 53034, 50845, 55724, 51047, 59624, 51047, 50439, 53148, 79882, 54223, 51477, 54577, 50901, 51471, 52252, 53562, 52326, 50932, 51687, 50932, 51231, 50932, 51327, 50932, 51664, 50873, 54568, 50901, 55722, 50820, 52736, 53586, 52812, 51006, 54568, 50901, 54003, 50829, 52736, 50845, 54281, 51310, 54223, 51148, 54577, 55428, 51493, 51218, 64765, 52252, 53295, 50415, 52830, 75192, 52733, 51965, 51176, 51741, 50303, 66533, 50981, 51471, 55403, 50915, 55323, 50915, 55724, 55382, 54872, 50932, 51687, 50932, 51719, 50932, 51672, 50932, 51772, 50995, 55722, 52417, 51374, 51174, 53008, 52415, 50300, 51568, 50303, 71321, 50892, 51493, 50873, 54003, 50829, 55403, 50845, 55323, 50845, 55724, 50845, 57144, 51244, 51818, 51148, 52733, 51337, 51027, 51741, 50305, 68184, 50981, 51668, 51218, 64765, 53941, 50915, 58209, 50915, 54850, 75408, 53148, 79882, 52109, 51637, 51366, 51253, 54003, 52802, 51249, 51097, 52812, 52845, 50301, 51741, 50305, 68184, 50981, 55722, 50820, 53941, 50915, 58209, 50915, 54850, 57414, 51719, 50838, 51664, 50905, 51668, 50873, 54003, 54794, 69386, 54281, 51148, 55349, 52256, 52571, 52256, 51687, 52256, 51651, 52256, 52812, 51148, 51086, 66533, 67182, 50981, 51493, 50943, 64765, 55323, 50915, 55724, 50915, 59558, 50915, 50415, 52316, 75192, 53008, 51965, 56457, 51547, 51911, 50303, 71321, 71274, 50892, 51493, 50873, 55722, 50820, 55323, 50845, 55724, 50845, 59558, 53387, 51912, 52415, 50301, 51310, 51040, 51310, 50916, 51310, 51668, 51218, 54003, 50829, 53941, 51115, 58209, 51115, 54850, 51115, 50433, 55349, 51079, 52571, 51079, 51687, 51079, 51651, 51079, 57144, 51244, 55349, 52147, 52326, 51749, 51465, 51314, 51366, 51312, 52120, 56068, 53148, 79882, 52733, 51477, 56890, 51818, 51253, 51664, 50873, 55872, 50942, 51040, 50955, 70584, 52659, 50925, 55722, 50820, 52398, 50878, 58209, 50878, 54850, 50878, 50453, 52109, 51309, 50454, 55872, 50942, 51040, 50955, 70584, 52659, 50925, 52398, 50878, 58209, 50878, 54850, 58325, 51719, 51058, 52812, 51006, 54003, 57059, 54577, 50942, 51040, 50955, 70584, 77460, 52659, 50925, 52252, 50878, 58209, 50878, 54850, 50878, 59624, 50878, 55609, 51244, 52812, 51337, 53042, 52069, 50956, 67182, 75591, 50981, 51522, 50943, 64765, 53034, 51714, 55724, 50915, 59558, 50915, 58873, 50915, 50415, 52316, 75192, 51547, 51253, 56457, 55349, 50932, 52571, 50932, 51687, 50932, 51651, 50932, 53008, 52845, 50307, 67182, 75591, 50981, 55722, 50820, 55724, 50915, 59558, 50915, 58873, 57173, 51912, 50905, 51522, 50873, 54003, 50829, 77592, 50981, 55349, 51333, 54872, 51333, 52571, 51333, 51687, 51333, 51547, 71326, 67182, 75591, 50981, 51522, 50943, 64765, 55724, 50915, 59558, 50915, 58873, 75408, 52316, 63236, 51772, 51166, 56890, 54311, 50981, 53075, 51333, 52303, 51333, 51410, 51333, 51231, 51333, 51256, 50995, 51522, 50925, 55722, 55223, 51699, 51108, 50453, 71930, 55724, 65002, 54577, 50942, 77663, 51522, 50925, 52252, 50878, 59558, 58325, 51322, 51166, 54003, 57059, 53602, 50942, 74372, 51098, 50925, 52072, 50878, 53827, 65264, 65080, 54648, 50878, 55934, 51244, 54369, 52256, 52326, 52256, 52102, 52256, 51651, 52256, 52733, 51381, 54019, 51353, 51705, 50943, 64765, 76454, 50415, 53148, 52204, 50420, 52812, 51797, 56457, 51664, 51328, 51040, 68184, 67182, 50981, 55722, 50820, 58209, 50915, 54850, 50915, 59558, 57173, 52812, 51376, 51705, 50873, 54003, 57107, 54369, 52783, 52326, 52783, 52102, 52783, 51651, 52783, 55827, 51145, 54503, 50844, 51366, 51233, 50877, 74915, 50981, 51705, 51127, 53240, 51127, 64765, 55769, 50915, 70774, 63939, 53076, 51363, 50444, 52812, 51174, 56890, 51934, 50844, 51664, 79339, 67680, 50981, 55722, 50820, 54850, 50915, 59624, 65421, 51590, 71834, 51917, 50995, 54003, 50829, 55934, 51145, 54369, 52256, 52326, 52256, 52102, 52256, 51651, 52256, 51674, 50844, 52733, 52059, 51027, 51741, 50305, 50981, 51705, 51127, 51984, 51127, 64765, 53941, 50915, 58209, 65177, 51547, 51363, 50420, 52812, 51642, 56457, 51934, 50844, 51664, 64233, 67680, 50981, 55722, 50820, 54850, 50915, 59624, 70583, 51590, 71895, 52812, 50972, 54003, 57107, 54369, 52980, 52326, 52980, 52102, 52980, 51651, 52980, 55827, 51477, 54503, 50844, 51366, 51852, 50877, 74915, 50981, 51705, 51127, 53240, 51127, 64765, 55769, 50915, 70774, 63939, 53076, 51363, 50444, 52812, 51753, 54003, 52802, 51934, 50844, 51664, 51051, 50916, 67680, 50981, 55722, 50820, 54850, 50915, 59624, 65421, 51590, 71834, 52458, 50892, 51917, 50972, 54003, 50829, 76269, 55934, 51244 ]

[ 0, 713, 5175, 2214, 6, 30291, 19, 10, 2842, 9, 3495, 6, 6670, 10, 19448, 8, 15352, 30054, 5466, 4, 590, 10, 7212, 20889, 9, 11061, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 230, 3694, 6, 24, 1575, 10, 11739, 9, 21072, 6, 6755, 12547, 6, 38668, 11212, 6, 31391, 1672, 9590, 6, 8, 38668, 22052, 4, 20, 33215, 16739, 9, 272, 406, 6, 230, 119, 6, 8, 12608, 73, 387, 428, 3639, 7, 63, 32625, 13569, 9862, 6, 442, 24, 10, 1969, 2564, 13, 10, 5679, 26709, 50, 1619, 12, 14694, 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 ]

[ 57333, 50816, 52231, 50416, 50816, 52231, 67745, 52231, 61889, 52611, 63741, 52611, 50425, 50816, 52445, 77627, 52445, 67654, 51693, 50431, 50816, 51693, 57671, 51306, 57008, 57481, 60707, 50440, 50816, 65112, 50816, 64734, 50816, 55686, 50816, 60145, 72358, 59986, 57098, 50816, 53017, 50816, 50820, 56032, 57335, 50816, 57517, 50803, 56703, 54880, 52279, 52227, 50803, 52679, 52204, 51783, 52204, 51986, 52204, 50420, 50903, 52952, 50903, 50811, 52129, 52884, 50801, 50864, 51528, 50811, 51768, 55477, 52013, 52417, 52013, 56305, 50804, 54736, 52625, 62181, 52679, 52204, 51528, 50800, 57330, 52204, 50415, 51783, 52204, 51986, 52204, 50420, 50903, 52952, 50903, 50811, 52129, 52485, 50798, 50864, 51528, 60208, 50903, 59346, 52013, 59094, 52013, 59551, 52013, 62467, 56657, 51769, 57485, 52013, 56305, 50804, 54736, 52625, 71573, 50823, 62177, 57460, 50804, 50820, 53526, 50820, 57471, 56038, 50804, 57583, 50798, 61901, 57752, 51670, 50800, 50703, 50285, 52204, 51567, 52204, 50415, 57330, 52204, 52679, 52204, 51783, 52204, 51986, 52204, 50420, 50903, 52952, 50903, 63989, 52129, 52485, 50798, 50864, 51528, 52628, 50816, 56818, 50816, 53744, 50816, 57074, 50816, 50820, 51694, 52600, 50804, 65192, 50820, 60409, 65192, 50820, 53012, 65192, 58780, 50804, 65192, 52616, 50804, 65192, 50820, 53526, 65192, 50820, 52612, 65192, 56038, 50804, 65192, 71572, 75534, 53217, 50798, 52625, 66426, 51132, 51036, 52584, 51036, 50799, 53733, 51801, 55321, 51801, 53511, 51801, 74119, 50800, 51093, 52204, 50420, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 51528, 51421, 50864, 51533, 51036, 52585, 51036, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 51957, 51036, 52458, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 58943, 51243, 53733, 51243, 53949, 51243, 51957, 51036, 52458, 51036, 51528, 51421, 50864, 51165, 52096, 50418, 50903, 59346, 52013, 58010, 60039, 52013, 50820, 51544, 63444, 52013, 62467, 72793, 59816, 52013, 52600, 50804, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 58943, 51801, 53370, 51801, 53949, 51801, 51533, 51036, 52585, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51533, 51036, 52585, 51036, 51528, 51421, 50864, 51039, 53272, 51287, 51225, 64453, 50864, 53550, 54736, 57444, 50860, 51180, 53996, 51287, 51225, 52163, 50816, 59177, 56771, 54924, 51243, 53370, 51243, 53949, 51243, 56885, 51243, 51338, 51036, 51416, 51036, 50799, 74119, 50800, 51488, 74818, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51338, 51036, 51416, 51036, 50799, 54924, 51243, 53370, 51243, 53949, 51243, 53511, 51243, 61558, 50864, 51093, 52140, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 53996, 51287, 51225, 50823, 51165, 51108, 56672, 66426, 53733, 51801, 54884, 51801, 55321, 51801, 51132, 51036, 52584, 51036, 50799, 74119, 50800, 51375, 52204, 50420, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51132, 51243, 52584, 51036, 51528, 51421, 50864, 51039, 50864, 51768, 51437, 63726, 52013, 52417, 52013, 51437, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 54884, 51243, 55575, 51243, 53370, 51243, 51533, 51036, 52585, 51036, 51088, 52204, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 55575, 51243, 53370, 51243, 56648, 51243, 51533, 51036, 52585, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 56059, 50816, 51437, 50864, 56594, 54028, 50816, 56038, 50816, 50820, 51899, 51437, 54232, 50852, 66426, 58943, 51801, 55575, 51801, 53370, 51801, 51957, 51036, 52458, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51957, 51036, 52458, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50852, 66426, 54884, 51243, 55575, 51243, 53370, 51243, 51602, 51036, 54785, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 54884, 51243, 55575, 50825, 53733, 51243, 51602, 51036, 54785, 51036, 51154, 51801, 51528, 51421, 62016, 50903, 59346, 52013, 58010, 60039, 52013, 50820, 51544, 63444, 52013, 62467, 72793, 59816, 52013, 52600, 50804, 54736, 57444, 56059, 50816, 51437, 50864, 56594, 54028, 50816, 56038, 50816, 50820, 51899, 51437, 54232, 50852, 66426, 56833, 51801, 54511, 51801, 53733, 51801, 51910, 51184, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51910, 51184, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 51382, 57621, 50809, 51287, 51225, 54178, 50852, 66426, 56833, 51243, 56648, 51243, 53733, 51243, 51957, 51184, 52458, 51036, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 56833, 51243, 56648, 51243, 54884, 51243, 54924, 51243, 51338, 51352, 51416, 51036, 51301, 51243, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 56059, 50816, 51437, 50864, 56594, 54028, 50816, 56038, 50816, 50820, 51899, 51437, 50864, 51338, 51072, 56871, 51858, 66426, 55321, 52204, 53511, 52204, 55014, 52204, 59642, 52204, 59327, 54270, 51132, 51184, 52584, 51036, 50799, 74119, 50800, 51304, 52204, 50420, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51533, 51184, 52585, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 52625, 50860, 51180, 50864, 52320, 54232, 50804, 54736, 52625, 66426, 51957, 51184, 52458, 51151, 50799, 74119, 51835, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 53733, 52503, 55321, 52503, 56885, 52503, 55014, 52503, 60047, 51748, 52458, 51151, 51394, 52204, 51528, 51421, 50864, 51957, 51184, 51039, 50864, 51768, 51437, 63726, 52013, 52417, 52013, 51437, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 50816, 53547, 66426, 53370, 54270, 53949, 54270, 56885, 54270, 55014, 54270, 55931, 54270, 60047, 52720, 50799, 74119, 50800, 51533, 51184, 52585, 56100, 73631, 50864, 51544, 50864, 51361, 53945, 73631, 50864, 52129, 51421, 50864, 52320, 50864, 53462, 64757, 50461, 51533, 51184, 52585, 51036, 51528, 51421, 50864, 51039, 50864, 51544, 50864, 51361, 50864, 53550, 54736, 57444, 50860, 51180, 50864, 52320, 54232, 51068, 52716, 50860, 51335, 75331, 53370, 52503, 53949, 52503, 56885, 52503, 55931, 52503, 60047, 52503, 69632, 52503, 50799, 74119, 50800, 51374, 51184, 52474 ]

[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 19, 10, 2842, 9, 1619, 4780, 6, 4246, 21979, 8669, 6, 21072, 6, 13305, 6, 21979, 9590, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 112, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 4, 20, 33215, 16739, 9, 272, 6, 163, 119, 6, 230, 119, 1176, 406, 6, 8, 211, 3639, 7, 63, 32625, 13569, 9862, 6, 442, 24, 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 ]

[ 52552, 50624, 65237, 51703, 51280, 51703, 51232, 51703, 51461, 51637, 52091, 51080, 50885, 51642, 51149, 51642, 50801, 54109, 51464, 51750, 61819, 61819, 62307, 64059, 50422, 50909, 51051, 52352, 50797, 52966, 51149, 51051, 50903, 57670, 51464, 52223, 61938, 50909, 68630, 51461, 61483, 51051, 50801, 54715, 52223, 52465, 53115, 52040, 51961, 51198, 51961, 51232, 51961, 51099, 51961, 51493, 51637, 51678, 51080, 50885, 51642, 51439, 51642, 50801, 54109, 51464, 51750, 59721, 64059, 50446, 50909, 51051, 52352, 50797, 52846, 51439, 51051, 50903, 57670, 51464, 52223, 60535, 51198, 52167, 50909, 75574, 51099, 50827, 51493, 61483, 51051, 50801, 54715, 52223, 52465, 50891, 64680, 51939, 51280, 51939, 51144, 51939, 51140, 52519, 51821, 51243, 50872, 51642, 51257, 51642, 50801, 54109, 51464, 51750, 62307, 50850, 71437, 50909, 51051, 52352, 50797, 52966, 51257, 51051, 50903, 57670, 51464, 52223, 61938, 50909, 68630, 51140, 71489, 51051, 50801, 54715, 52223, 52465, 53115, 51140, 54532, 50847, 51642, 51007, 51051, 50801, 54109, 51464, 51750, 59721, 51257, 51051, 50446, 51007, 51051, 52352, 50797, 52846, 51144, 54298, 52548, 51051, 50903, 57670, 51464, 52223, 60535, 51119, 52179, 51257, 75574, 51153, 50912, 51522, 50908, 51007, 51051, 50801, 54715, 52223, 52465, 50891, 72722, 51592, 51198, 51592, 51144, 51592, 51099, 51592, 51098, 51283, 52016, 51243, 50847, 51642, 50801, 53735, 51750, 52223, 66478, 51007, 62706, 54412, 78893, 51257, 62706, 51464, 52928, 52548, 62522, 54617, 55033, 59536, 70258, 51257, 68630, 51098, 51000, 51007, 51051, 50801, 53735, 52621, 51098, 51627, 50847, 51642, 50804, 54617, 60067, 51007, 62522, 56870, 67394, 53366, 54146, 51257, 51051, 50801, 53735, 52772, 52040, 51006, 51198, 51006, 51144, 51006, 51099, 51006, 52548, 62522, 54617, 59753, 51257, 62522, 56870, 72204, 54128, 50971, 51007, 51051, 51289, 67196, 50828, 65237, 51703, 51280, 51703, 51232, 51703, 51150, 51477, 51979, 51194, 50885, 51466, 50801, 54109, 51464, 51750, 61819, 61819, 62307, 50847, 69280, 52172, 50942, 50909, 51365, 52352, 50797, 52966, 51979, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 61938, 50909, 51365, 50434, 51098, 50835, 52491, 50942, 77544, 50801, 54715, 52223, 52465, 53115, 51869, 51703, 52040, 51703, 51232, 51703, 51493, 51637, 51979, 51194, 51217, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 52172, 50942, 50935, 51365, 52352, 50797, 52846, 51979, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 60535, 50935, 51365, 50458, 52491, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 62871, 63872, 51280, 52192, 51144, 51738, 51119, 53674, 51140, 51477, 51978, 51194, 51164, 51466, 50801, 54109, 51464, 51750, 62307, 51708, 54211, 50850, 69280, 51280, 50982, 51978, 50942, 50909, 51365, 52352, 50797, 52966, 51280, 52179, 51978, 50942, 51257, 51365, 50903, 57670, 51464, 52223, 61938, 51144, 51524, 52491, 50942, 50909, 51365, 50434, 51119, 50835, 51140, 50835, 52394, 50942, 50850, 51365, 50801, 54715, 52223, 52465, 53115, 52040, 51703, 51198, 51703, 51144, 51703, 51099, 51703, 51098, 51679, 52228, 51562, 50988, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 50935, 51365, 52352, 50797, 52846, 51007, 51365, 50903, 57670, 51464, 52223, 60535, 51273, 50933, 50935, 51365, 50458, 51098, 61483, 51365, 50801, 54715, 52223, 52465, 50891, 65237, 51961, 51280, 51961, 51232, 51961, 51461, 51283, 52394, 51194, 50885, 51466, 50801, 54109, 51464, 51750, 62307, 50847, 69280, 52228, 50942, 50909, 51365, 50801, 53735, 51750, 52465, 52966, 52491, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 61938, 51280, 52167, 50909, 51365, 50434, 51232, 50827, 51098, 50933, 51979, 50942, 77544, 50801, 54715, 55623, 52167, 50852, 52167, 50438, 51869, 51961, 52040, 51961, 51232, 51961, 51493, 51637, 53319, 51194, 51217, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 52380, 50942, 50935, 51365, 52352, 50797, 52846, 53319, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 60535, 51232, 52167, 50935, 51365, 50458, 51099, 50827, 51493, 50825, 51979, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 64680, 51703, 51280, 51703, 51144, 51703, 51140, 51637, 52172, 51194, 51164, 51466, 50801, 54109, 51464, 51750, 62307, 50850, 69280, 51979, 50942, 50909, 51365, 52352, 50797, 52966, 51979, 51194, 51257, 51365, 50903, 57670, 51464, 52223, 61938, 50909, 51365, 50434, 51140, 50825, 51978, 50942, 50850, 51365, 50801, 54715, 52223, 52465, 53115, 51869, 51703, 52040, 51703, 51198, 51703, 51098, 51283, 51979, 51351, 50988, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 50935, 51365, 52352, 50797, 52846, 51439, 51365, 50903, 57670, 51464, 52223, 60535, 50935, 51365, 50458, 51098, 50933, 51979, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 64680, 51703, 51280, 51703, 51232, 51703, 51216, 51381, 52380, 51194, 50946, 51466, 50801, 54109, 51464, 51750, 62307, 50850, 69280, 52380, 51003, 50909, 51365, 52352, 50797, 52966, 51149, 51365, 50903, 57670, 51464, 52223, 61938, 50909, 51365, 50434, 78480, 53319, 58434, 51365, 50801, 54715, 52223, 52465, 63122, 52380, 53894, 51869, 51703, 52040, 51703, 51232, 51703, 51984, 51477, 52833, 51194, 51217, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 53319, 50942, 50935, 51365, 50801, 54715, 52223, 52465, 52846, 52172, 51194, 51149, 51365, 50903, 57670, 51464, 52223, 60535, 50935, 67952, 53796, 72204, 51098, 50835, 51979, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 62871, 63872, 51280, 52192, 51144, 51738, 51119, 53674, 51140, 51637, 52394, 51194, 51164, 51466, 50801, 54109, 51464, 51750, 62307, 51708, 54211, 50850, 69280, 51280, 50982, 52228, 51003, 50909, 51365, 52352, 50797, 52966, 51280, 52179, 51257, 51365, 50903, 57670, 51464, 52223, 61938, 51144, 51524, 50909, 51365, 50434, 51119, 50835, 51140, 50825, 52228, 58434, 51365, 50801, 54715, 52223, 52465, 63122, 52394, 53894, 52040, 51961, 51198, 51961, 51144, 51961, 51099, 51961, 51098, 51749, 52228, 51003, 50988, 51466, 50801, 54109, 51464, 51750, 59721, 77544, 50446, 50935, 51365, 50801, 54715, 52223, 52465, 52846, 52228, 50942, 51257, 51365, 50903, 57670, 51464, 52223, 60535, 51876, 52167, 52394, 50942, 50935, 67952, 53796, 72204, 52040, 50827, 51098, 50941, 54727, 50942, 77544, 50801, 54715, 52223, 52465, 50891, 65237, 51703, 51280, 51703, 51232, 51703, 51461, 51637, 52394, 53454, 52091, 51080, 65852, 51080, 50885, 51642, 52138, 51642, 50801, 54109, 51464, 51750, 62307, 64059, 50422, 50909, 51051, 52352, 50797, 52966, 51149, 51051, 50903, 57670, 51464, 52223, 61938, 50909, 68630, 51461, 61483, 51051, 50801, 54715, 55623, 52167, 50852, 52167, 50438, 58001, 63872, 52040, 52192, 51232, 51738, 51099, 53674, 51493, 51627, 51678, 51080, 79045, 51080, 50868, 51642, 52548, 51642, 50801, 54109, 51464, 51750, 59721, 51869, 54211, 50935, 51051, 50446, 52040, 50982, 51149, 51051, 52352, 50797, 52846, 52040, 52179, 51439, 51051, 50903, 57670, 51464, 52223, 60535, 51232, 51524, 51149, 75574, 51099, 50835, 51493, 50912, 50935, 51051, 50801, 54715, 52223, 52465, 50891, 64680, 51961, 51280, 51961, 51144, 51961, 51140, 51477, 51701, 51080, 65852, 51080, 50872, 51642, 51649, 51642, 50801, 54109, 51464, 51750, 62307, 50850, 71437, 50909, 51051, 52352, 50797, 52966, 51257, 51051 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 9066, 2821, 16235, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 18558, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 6, 70, 1375, 23, 41, 178, 5285, 2877, 11, 163, 3694, 6, 19, 10, 33215, 16739, 9, 272, 6, 274, 10431, 6, 8, 163, 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, 0, 0, 0, 0, 0 ]

[ 57128, 50968, 61907, 57341, 51036, 56141, 56100, 50973, 51631, 50951, 51646, 50968, 50795, 56807, 57883, 58035, 50918, 60541, 54994, 50861, 51631, 74174, 50437, 51001, 73757, 56039, 51114, 50918, 51086, 50918, 61570, 50918, 57551, 55648, 61907, 50795, 51357, 51036, 51266, 51036, 56141, 56100, 51086, 56190, 51631, 50916, 57022, 51736, 51315, 51646, 51120, 55648, 51918, 51086, 51798, 50916, 56190, 51923, 51120, 61907, 50795, 56807, 57883, 67795, 50918, 77853, 76180, 60541, 54994, 50876, 51631, 50968, 51736, 50951, 52262, 50973, 56359, 51001, 50818, 51324, 56039, 51114, 50795, 51357, 50918, 51395, 50918, 70074, 50918, 57289, 61907, 57341, 56100, 50973, 51631, 50951, 50795, 52457, 52765, 52376, 53505, 52376, 60847, 50968, 51918, 52376, 51798, 51652, 51923, 52376, 50795, 54960, 57022, 57883, 58035, 50918, 51667, 53561, 50861, 51631, 50968, 50807, 52376, 53218, 50916, 51798, 75022, 51652, 51923, 50968, 50795, 52376, 50795, 55331, 57883, 73470, 54994, 50877, 50795, 51667, 58938, 51114, 57022, 54253, 52457, 52424, 51114, 51798, 51120, 76679, 51652, 50800, 54955, 50918, 51667, 52115, 50899, 50795, 52135, 52296, 52135, 50991, 54439, 51736, 50973, 50795, 51667, 51646, 50877, 77821, 50918, 51667, 51918, 50899, 50795, 51652, 51798, 50989, 50795, 51652, 53312, 50877, 50795, 57289, 61907, 77531, 56100, 50973, 51631, 50951, 50795, 52457, 52765, 52376, 60847, 50968, 50795, 52376, 50807, 50454, 51652, 56388, 52376, 50830, 56807, 57883, 67795, 50918, 51667, 53561, 50876, 51631, 50968, 50795, 52376, 52728, 51085, 52809, 51026, 50800, 52376, 51754, 50900, 50800, 61097, 51652, 52567, 68134, 60003, 52376, 50800, 58479, 73470, 51161, 50899, 51161, 51667, 53561, 50902, 51631, 51114, 50807, 52457, 52728, 51120, 53312, 60003, 51652, 54093, 58276, 56807, 66107, 62352, 50918, 51667, 52115, 50973, 50795, 52135, 52296, 52135, 58938, 50902, 51736, 51220, 50795, 51667, 52262, 51667, 51646, 51114, 57883, 77821, 66584, 51652, 51918, 50877, 53658, 51652, 63419, 50902, 51923, 51114, 50795, 54960, 55648, 57022, 58035, 55834, 52376, 51736, 51652, 51646, 51086, 73757, 68900, 50918, 51114, 50918, 51667, 52728, 52376, 51923, 51652, 52567, 52522, 50800, 55524, 55890, 60939, 50807, 51315, 50918, 52376, 52910, 50916, 54828, 56190, 51736, 51086, 50795, 52457, 52262, 52376, 51724, 50916, 54828, 56190, 73470, 50918, 52522, 51918, 51086, 50795, 51652, 52513, 52522, 51798, 50916, 54828, 56190, 55000, 51652, 59592, 51086, 50795, 53997, 51036, 50916, 79190, 51036, 50973, 51036, 50432, 52457, 52262, 52376, 51724, 51667, 51918, 52376, 51798, 52376, 50795, 57126, 56190, 57367, 50795, 51324, 51036, 51086, 56100, 50973, 50795, 52522, 51605, 50426, 51001, 55648, 51646, 51114, 50795, 51395, 50918, 51600, 50918, 54594, 54666, 67795, 50918, 52143, 50918, 51266, 50918, 51182, 54994, 50916, 53471, 52376, 51620, 50861, 71068, 52113, 52765, 52113, 51736, 50916, 53505, 52200, 51646, 50973, 57367, 50795, 51324, 50918, 54333, 50918, 51395, 50918, 51600, 66584, 52135, 51918, 50989, 51798, 50973, 57367, 50795, 52200, 51923, 50989, 50795, 52135, 50795, 57844, 55648, 50795, 51841, 50918, 52113, 50807, 52830, 50918, 51357, 50918, 51266, 54994, 50861, 51631, 50973, 57367, 50795, 52200, 53182, 50861, 51646, 50902, 61907, 50795, 51799, 50918, 51633, 50918, 52371, 50918, 76990, 51600, 56027, 50877, 51798, 50902, 61907, 51923, 50877, 50795, 57289, 57022, 67795, 50918, 52143, 50918, 77853, 51093, 54994, 50876, 51631, 50968, 79564, 52113, 52765, 52113, 51736, 50876, 53505, 52200, 51646, 51001, 61907, 50795, 51324, 50918, 54333, 50918, 51357, 50918, 51395, 66584, 52135, 53218, 50973, 51798, 51001, 61907, 51923, 50973, 50795, 52135, 52567, 52135, 50800, 57844, 55648, 77531, 50918, 52372, 50807, 55780, 50918, 51266, 50918, 51182, 54994, 50861, 51631, 50973, 55648, 50795, 53179, 53182, 50861, 51646, 50902, 61907, 73470, 50918, 52113, 50918, 55528, 79383, 50918, 51107, 56027, 50877, 51798, 50902, 61907, 51923, 50877, 50795, 54960, 55648, 67795, 50918, 52143, 50918, 51299, 50918, 76180, 51266, 54994, 50861, 53471, 51652, 51620, 50876, 55648, 50795, 52113, 51736, 77916, 52113, 52262, 52200, 51646, 51001, 61907, 50795, 51324, 50918, 54333, 50918, 52065, 50918, 51395, 50918, 51600, 66584, 52135, 51918, 50973, 51798, 51001, 72623, 52200, 54896, 51114, 59831, 52135, 50830, 57844, 55648, 77531, 50807, 52113, 50807, 52830, 50807, 51357, 50918, 51266, 54994, 50861, 51631, 50973, 57367, 63534, 50807, 52200, 50807, 52481, 53182, 50861, 51646, 51120, 57543, 64953, 51633, 50807, 52371, 50807, 67769, 51107, 53312, 52135, 69189, 50861, 72854, 50818, 57289, 51036, 51085, 51036, 51667, 53504, 51652, 51835, 51652, 53182, 52135, 51646, 51667, 52831, 51652, 51820, 51667, 50807, 50461, 50989, 78540, 50818, 58066, 51036, 51001, 56100, 51652, 51631, 51667, 51736, 51652, 51918, 52135, 53312, 52376, 50795, 54594, 71235, 50795, 51841, 50918, 51652, 50807, 51357, 50818, 72285, 50918, 50767, 50287, 54994, 50916, 67755, 52437, 50861, 71235, 50795, 52376, 51036, 51357, 52209, 50916, 67755, 52565, 50861, 71235, 50795, 51799, 50918, 51357, 52210, 50916, 67755, 52396, 50861, 71235, 50795, 51357, 52349, 50916, 50795, 51093, 50818, 54594, 54666, 55648, 67795, 50918, 51357, 52432, 50916, 67583, 52437, 50876, 55648, 50795, 51093, 52209, 50951, 50795, 51266, 51646, 50973, 73412, 50807, 51324, 50918, 51182, 52728, 51001, 50807, 51600, 50807, 57289, 61907, 77531, 50918, 51301, 50818, 51088, 50818, 51357, 50818, 55780, 50918, 52830, 50918, 51266, 50918, 51374, 50918, 72285, 50918, 50767, 50287, 54994, 50973, 51631, 50951, 50795, 52457, 50800, 51301, 50818, 51088, 50818, 51357, 54013, 52376, 60847, 50968, 73470, 50918, 52376, 67755, 50818, 51088, 50818, 51357, 50818, 55528, 50918, 52371, 50918, 51181, 56027, 52376, 51798, 51301, 50818, 51088, 50818, 51357, 53545, 50968, 57924, 51652, 54896, 50951, 57459, 52376, 57814, 61097, 57289, 50800, 58276, 51085, 50795, 51667, 50807, 51301, 50818, 51088, 50818, 51357, 50818, 55244, 51036, 52143, 51036, 51338, 64163, 50861, 51835, 56143, 51026, 53471, 50968, 51620, 50900, 55648, 79564, 52376, 50807, 51301, 50818, 51088, 50818, 51357, 52565, 51085, 67755, 50818, 51088, 50818, 51093, 52210, 50900, 51798, 61097, 51085, 67755, 50818, 51088, 50818, 51093, 53545, 57031, 52376, 51754, 56143, 51652, 52567, 61097, 60003, 52376, 50800, 60497, 50800, 58276, 51120, 50795, 51667, 50807, 51491, 50818, 51113, 50818, 51107, 50818, 55528, 51036, 52371, 51036, 51181, 51036, 72285, 50918, 50767, 50287, 63229, 50877, 51835, 57213, 51027, 53471, 50951, 51620, 50899, 61907, 50807, 52457, 50807, 51491, 50818, 51113, 50818, 51107, 52209, 51027, 51646, 50989, 64953, 51491, 50818, 51113, 50818, 51107, 52396, 51799, 50807, 51491, 50818, 51113, 50818, 51107, 52349, 51667, 50795, 54955, 55673, 79564, 51667, 67583, 50818, 51357, 50818, 51107, 50818, 52776, 50918, 51699, 50918, 51137, 50918, 54569, 56190, 50795, 52135, 52296, 52135, 51631, 50861, 55673, 67583, 50818, 51357, 50818, 51107, 54013, 51667, 51628, 51026, 79564, 51667, 52262, 51652, 51724, 51378, 55673, 61907, 50795, 51652, 50807, 51491, 50818, 51113, 50818, 51107, 50818, 55472, 50918, 53148, 50918, 51640, 50918, 55989, 56036, 51798, 50989, 55673, 50795, 68831, 51600, 53312, 50899, 61907 ]

[ 0, 713, 20425, 8, 15352, 30054, 3495, 3152, 2214, 6, 278, 11, 163, 3694, 6, 1575, 10, 20902, 11739, 9, 38668, 3038, 6, 32909, 6, 3152, 6757, 6, 1076, 560, 31365, 25999, 6, 8, 31391, 1672, 9590, 4, 590, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 20, 33215, 16739, 9, 1918, 1176, 406, 6, 163, 119, 406, 6, 230, 10431, 119, 406, 6, 8, 211, 119, 1176, 406, 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 ]

[ 58402, 76501, 69142, 50971, 57523, 72584, 56452, 50857, 58598, 76690, 56170, 59012, 55017, 62603, 55209, 50836, 54609, 62267, 53455, 53173, 52949, 59567, 53503, 50884, 52301, 60427, 51914, 56046, 51953, 50949, 51859, 65493, 51676, 50949, 51617, 59363, 51982, 50921, 53426, 51021, 53329, 52024, 52328, 53501, 54488, 50855, 56682, 51460, 52055, 50875, 53045, 56075, 52093, 53321, 54303, 62534, 67335, 52165, 50809, 51323, 50828, 52400, 50887, 52232, 53229, 54069, 71786, 52165, 62194, 51693, 51323, 51306, 52232, 50840, 52400, 56428, 51539, 52523, 52639, 52287, 51642, 51818, 76998, 54497, 52539, 55569, 54883, 51023, 51178, 71167, 52165, 50808, 51323, 50870, 52400, 50904, 52232, 50907, 52232, 50808, 52400, 50800, 51323, 51110, 57718, 50431, 51844, 54342, 71167, 52165, 67135, 51693, 52232, 50941, 52400, 50904, 52232, 50808, 52400, 59661, 51005, 53836, 54986, 71167, 52165, 50855, 52400, 50836, 52232, 55027, 51987, 54114, 75109, 51208, 50937, 51403, 50865, 51844, 51255, 52232, 50912, 52400, 50912, 51746, 50917, 51770, 50924, 51245, 50849, 51323, 52482, 66752, 53045, 52748, 56432, 52232, 50912, 52400, 56205, 53384, 51023, 72855, 50840, 52165, 50928, 51323, 50835, 52400, 50908, 52232, 50809, 52400, 51000, 52232, 50912, 58081, 55354, 51746, 51376, 51770, 51006, 51245, 51074, 50913, 52499, 53003, 75109, 51208, 50805, 51403, 50805, 51818, 51481, 52287, 51079, 51245, 50849, 68663, 51770, 51370, 54617, 53301, 51987, 58207, 51323, 51129, 52400, 51693, 52232, 57258, 65496, 71223, 51023, 50959, 51385, 54618, 52165, 50912, 52400, 50851, 51323, 50955, 52232, 54146, 50852, 52823, 54943, 51245, 51074, 51746, 51079, 51770, 50972, 50913, 52523, 51004, 56682, 51388, 52723, 50875, 51987, 52465, 56933, 52400, 52101, 51323, 52167, 52232, 54618, 50920, 54213, 69963, 52165, 50828, 52400, 50846, 52232, 55718, 54579, 51023, 50851, 71167, 52165, 50808, 51323, 50827, 52232, 50808, 52400, 52085, 52523, 75730, 58139, 79107, 52165, 50829, 52232, 50839, 52400, 54617, 53301, 52499, 59741, 50852, 54956, 51023, 50845, 71167, 52165, 50808, 52400, 50863, 52232, 51123, 52232, 50808, 52400, 50800, 51323, 73558, 53670, 71167, 52165, 50886, 51844, 51100, 52400, 50867, 51323, 52101, 52232, 50912, 52232, 50808, 52400, 54784, 53067, 58406, 68329, 62744, 51385, 50840, 52165, 50886, 52232, 50928, 52400, 51004, 51323, 50836, 52232, 50809, 52400, 54738, 51987, 52958, 51020, 51376, 51208, 50917, 51403, 50865, 51957, 51354, 52287, 50972, 51818, 51172, 52232, 50912, 52400, 50912, 51245, 51254, 51746, 50938, 51770, 50924, 51323, 51387, 52055, 50875, 51987, 52748, 54905, 52400, 51319, 52232, 54419, 53384, 66945, 51385, 50840, 52165, 50840, 51323, 51000, 51323, 50867, 52232, 50941, 52232, 50809, 52400, 51319, 52400, 51421, 53045, 55354, 52165, 50837, 52400, 50825, 51245, 57070, 51746, 51254, 51770, 51174, 50913, 52499, 61340, 51020, 51376, 51208, 50830, 51403, 50952, 51374, 51048, 51746, 50952, 51770, 50940, 51245, 62316, 53479, 54497, 52823, 69232, 51457, 51172, 51981, 51423, 50453, 51323, 51851, 52232, 50941, 52400, 50941, 64695, 53555, 52400, 79348, 52539, 54943, 51746, 51051, 51770, 51008, 51245, 57070, 50913, 52291, 50863, 56682, 50980, 52055, 50875, 52786, 64565, 50791, 50883, 75062, 62534, 51385, 50839, 52165, 50846, 51323, 50828, 52232, 50841, 52400, 52079, 54579, 60943, 71786, 52165, 50836, 51323, 50862, 52232, 50840, 52400, 51582, 52535, 52291, 52966, 52287, 51006, 53212, 50875, 53045, 56502, 59741, 51818, 56552, 72314, 67335, 52165, 50808, 51323, 50891, 52232, 50891, 52400, 50837, 52232, 50812, 52400, 50800, 51323, 60684, 53196, 51385, 50844, 52165, 50855, 51844, 50795, 51323, 51126, 52232, 50941, 52400, 50836, 52232, 50810, 52400, 56104, 51041, 52823, 54986, 51023, 50857, 71786, 52165, 50886, 64895, 52232, 50840, 52400, 54738, 53107, 53115, 51020, 50805, 51208, 50865, 51403, 50917, 51844, 50967, 52232, 50984, 52400, 50912, 51746, 50924, 51770, 50938, 57285, 51323, 51074, 52723, 50875, 53045, 53796, 54704, 52400, 50971, 52232, 63130, 53384, 66945, 71786, 52165, 50829, 52400, 50834, 51323, 51128, 51323, 50867, 52232, 50941, 52232, 50840, 52400, 51851, 56526, 55354, 51746, 51174, 51770, 51254, 51245, 51079, 50913, 52291, 53003, 75109, 51208, 50917, 51403, 50865, 51818, 50972, 52287, 51079, 51746, 50938, 51770, 50924, 51245, 53888, 51392, 52755, 52539, 55423, 52400, 51004, 51323, 51851, 52232, 50941, 62023, 53556, 51023, 51123, 52165, 50837, 71166, 52400, 50825, 51323, 50984, 52232, 52227, 52793, 54943, 51746, 51376, 51770, 51174, 51245, 51074, 50913, 52523, 51004, 56682, 50923, 52723, 50875, 52539, 52348, 54639, 52400, 51306, 51323, 52462, 52232, 57831, 67945, 52067, 53299, 51385, 50846, 52165, 50818, 56281, 50880, 52232, 50818, 52400, 50884, 51898, 50880, 52148, 53914, 50846, 51667, 76255, 52067, 50857, 52148, 56076, 51023, 50862, 66748, 52165, 50812, 56281, 50809, 51323, 50855, 52232, 50836, 52400, 50808, 51898, 54766, 52223, 53045, 50928, 51667, 63750, 52067, 54156, 56281, 50890, 51898, 50811, 52148, 54332, 54497, 52539, 55623, 50837, 51667, 59974, 52165, 66271, 50873, 67335, 56281, 50809, 52232, 50837, 52400, 50825, 52232, 50812, 52400, 50808, 66710, 52067, 50809, 51898, 50812, 52148, 56691, 50891, 51667, 60426, 51844, 50917, 56281, 54334, 71166, 52165, 50854, 51323, 51000, 52232, 50971, 52232, 50800, 52400, 50907, 52400, 50833, 52067, 51010, 51898, 50811, 52148, 52259, 51041, 52539, 50846, 51667, 57535, 52148, 54496, 52165, 50813, 51385, 59869, 50941, 56281, 50895, 51323, 50904, 52232, 50840, 52400, 50862, 52067, 50962, 51898, 54853, 52523, 50908, 51667, 65582, 58437, 55622, 51020, 50805, 51208, 76674, 50795, 51957, 51354, 51818, 51753, 52287, 51079, 52232, 50907, 52400, 50907, 57285, 51323, 51074, 51746, 50879, 51770, 50879, 53147, 50811, 53084, 51052, 54534, 54016, 52786, 50891, 52135, 59071, 52298, 55092, 52232, 50912, 52400, 66048, 53594, 60943, 69473, 52165, 50862, 56281, 50962, 51323, 52514, 51323, 50862, 52232, 50971, 52400, 51128, 52400, 50855, 52232, 50833, 78287, 51898, 50811, 52148, 51156, 51987, 50846, 51667, 65866, 51245, 50972, 51746, 50972, 51770, 50972, 50913, 52499, 54044, 67140, 51208, 50865, 51403, 50830, 51374, 51290, 57745, 51460, 51245, 50977, 51746, 50924, 51770, 50924, 51866, 51812, 51392, 52373, 52793, 69232, 51617, 51933, 53329, 52570, 51981, 51309, 51457, 51642, 51579, 51066, 52039, 50823, 51652, 58615, 51323, 51126, 52400, 51000, 52232, 51123, 64272, 61021, 52334, 50886, 51702, 50818, 51831, 54583, 51403, 50825, 51770, 50835, 52384, 56691, 53934, 57430, 53808, 50841, 52058, 50841, 52376, 61996, 53689, 50834, 54595, 50828, 51947, 50839, 52457, 54991, 51245, 52192, 51746, 51174, 51770, 51174, 58313, 50841, 52339, 50834, 53093, 52543, 52499, 50928, 52832, 59652, 57350, 50839, 54641, 56834, 60671, 50839, 53266, 50835, 55066, 50837, 56724, 50863, 56682, 51460, 61715, 50820, 79811, 50834, 53456, 54880, 53301, 53045, 62249, 50961, 58982, 57392, 52949, 50937, 65015, 51464, 50828, 65700, 78666, 70824, 50829, 65576, 61252, 51770, 55756, 54303, 62534, 67335, 52165, 50833, 51323, 50828, 52232, 50812, 52400, 53229, 54069, 73071, 71167, 52165, 50812, 51323, 50810, 52232, 50808, 52400, 55027, 51539, 52523, 52639, 52165, 50825, 52400, 54518, 54497, 52539, 55569, 57334 ]

[ 0, 250, 20902, 3495, 3152, 2214, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 34879, 6, 4246, 10, 11739, 9, 13305, 6, 2382, 8, 81, 9756, 3459, 29589, 6, 3152, 6757, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 11498, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 6, 19, 5, 33215, 13931, 9, 230, 8, 163, 428, 73, 347, 16331, 5705, 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 ]

[ 58402, 55239, 57974, 55723, 51468, 52354, 51364, 54609, 51010, 52949, 50880, 52301, 50882, 51061, 50901, 51092, 51134, 51616, 51518, 50920, 54274, 53829, 51118, 51576, 50920, 53419, 52639, 54609, 51407, 52949, 52311, 52301, 52369, 51061, 51645, 50920, 54274, 53230, 64628, 51118, 51884, 51023, 51351, 51092, 51115, 50920, 53419, 52600, 50945, 51336, 50920, 54274, 53806, 51061, 67290, 52909, 53083, 51118, 51642, 51023, 51043, 50920, 54274, 53685, 51092, 51008, 51616, 70581, 52909, 50841, 54516, 51274, 53503, 52311, 51193, 50849, 51557, 51115, 51185, 51218, 50920, 54274, 53829, 54609, 51362, 51061, 50905, 51092, 50981, 50920, 53419, 52639, 50920, 54274, 56710, 51061, 55003, 50432, 51325, 50983, 55977, 51551, 51341, 51203, 51118, 51330, 51193, 51241, 50920, 53419, 52600, 50920, 54274, 53806, 53455, 51178, 51341, 50995, 51092, 67290, 52909, 53083, 60908, 53503, 51116, 51185, 51337, 51118, 51852, 50920, 54274, 53685, 51105, 50938, 53455, 50917, 51193, 77937, 52909, 50841, 52354, 51364, 54609, 51010, 52949, 50880, 52301, 50882, 51061, 50901, 51092, 51134, 51616, 51518, 50920, 54274, 53829, 51118, 51576, 50920, 53419, 52639, 54609, 51407, 52949, 52311, 52301, 52369, 51061, 51645, 50920, 54274, 53230, 64628, 51118, 51884, 51023, 51351, 51092, 51115, 50920, 53419, 52600, 50945, 51336, 50920, 54274, 53806, 51061, 67290, 52909, 53083, 51118, 51642, 51023, 51043, 50920, 54274, 53685, 51092, 51008, 51616, 70581, 52909, 50841, 54516, 51274, 53503, 52311, 51193, 50849, 51557, 51115, 51185, 51218, 50920, 54274, 53829, 54609, 51362, 51061, 50905, 51092, 50981, 50920, 53419, 52639, 50920, 54274, 56710, 51061, 55003, 50432, 51325, 50983, 55977, 51551, 51341, 51203, 51118, 51330, 51193, 51241, 50920, 53419, 52600, 50920, 54274, 53806, 53455, 51178, 51341, 50995, 51092, 67290, 52909, 60372, 50816, 52568, 60908, 53503, 51116, 51185, 51337, 51118, 51852, 50816, 52637, 54274, 53685, 51105, 50938, 53455, 50917, 51193, 50978, 73032, 52637, 52909, 50841, 52354, 51364, 54609, 51010, 52949, 50880, 52301, 50882, 51061, 50901, 51092, 51134, 51616, 51518, 53804, 57829, 50900, 64587, 50800, 51247, 51073, 51050, 55385, 51118, 51576, 56457, 54609, 51407, 52949, 52311, 52301, 52369, 51061, 51645, 53316, 50884, 50900, 51112, 73343, 51661, 50432, 64628, 51118, 51884, 51023, 51351, 51092, 51115, 53804, 56748, 51247, 51112, 53357, 51336, 53804, 56484, 51050, 55480, 51061, 50915, 52105, 50445, 50900, 65295, 51118, 51642, 51023, 51043, 53316, 57150, 51247, 57743, 67773, 51092, 51008, 51616, 50905, 53804, 66174, 64801, 72753, 54516, 51274, 53503, 52311, 51193, 50849, 51557, 51115, 51185, 51218, 53804, 74494, 51173, 50906, 51091, 50415, 50997, 50807, 51234, 57519, 54609, 51362, 51061, 50905, 51092, 50981, 51762, 50421, 50899, 51043, 59158, 57982, 50871, 55863, 51061, 55003, 50432, 51325, 50983, 55977, 51551, 51341, 51203, 51118, 51330, 51193, 51241, 53804, 58685, 50956, 51362, 50965, 51294, 51503, 51362, 51450, 51187, 50818, 51176, 67367, 53455, 51178, 51341, 50995, 51092, 50915, 51762, 50445, 50900, 58038, 60908, 53503, 51116, 51185, 51337, 51118, 51852, 53316, 50884, 51026, 51100, 50451, 50956, 51215, 50861, 55069, 51105, 50938, 53455, 50917, 52301, 50887, 52949, 50887, 51859, 50961, 54609, 50880, 51193, 50978, 53804, 59169, 51214, 50833, 66481, 50459, 52949, 50890, 51859, 50930, 52301, 63958, 54609, 50880, 62114, 51496, 52949, 52369, 51859, 53174, 52301, 52266, 54609, 51352, 51061, 51095, 51118, 51191, 51092, 51591, 51616, 51486, 53804, 50884, 51247, 51091, 51050, 66128, 51023, 51330, 51471, 59158, 50884, 50900, 64587, 51628, 51720, 51977, 51118, 65988, 51061, 53769, 51187, 56748, 51247, 51091, 51450, 51187, 50818, 51050, 55700, 51023, 51043, 51118, 51172, 52105, 50900, 60657, 64712, 51061, 51233, 51092, 51043, 53316, 50846, 51050, 57431, 52949, 50887, 52301, 50818, 54609, 50930, 51859, 50895, 51118, 51297, 51023, 50905, 53804, 50834, 51085, 63327, 62533, 52949, 50880, 51859, 50890, 52301, 50887, 54609, 50962, 62114, 51496, 54609, 52369, 52949, 51161, 52301, 51161, 51859, 51585, 51061, 50917, 51118, 51003, 51092, 51452, 51616, 51692, 53804, 50818, 51247, 51091, 51050, 66128, 51023, 51025, 51762, 59158, 50884, 50900, 64587, 51628, 51720, 51977, 51118, 50851, 51023, 50827, 51061, 51204, 53804, 58685, 51247, 64740, 51118, 54071, 53804, 50818, 51050, 55700, 51118, 52034, 51023, 51203, 53316, 68095, 60657, 64712, 51061, 50907, 51092, 51212, 53316, 50884, 51050, 57431, 52949, 50828, 52301, 50841, 54609, 50818, 51859, 50846, 51616, 50904, 51061, 52134, 51023, 50959, 53804, 50846, 51085, 63327, 62533, 51859, 50818, 52949, 50828, 54609, 50818, 52301, 50841, 62114, 51496, 54609, 52017, 52949, 51655, 52301, 51655, 51859, 51696, 51616, 51178, 51061, 51221, 51118, 51134, 51092, 51422, 53804, 50884, 51247, 51091, 51050, 66128, 51023, 50981, 56457, 51616, 52015, 53316, 50884, 50900, 64587, 51628, 51720, 51977, 51118, 51412, 51061, 51241, 53804, 56748, 51247, 51091, 51450, 51187, 50818, 51050, 55700, 51023, 51233, 51118, 50932, 53316, 73619, 60657, 64712, 51061, 51121, 51092, 51101, 53316, 50846, 51050, 57431, 51023, 50878, 53804, 50834, 51085, 63327, 50901, 52354, 51175, 54609, 50800, 52949, 50887, 52301, 50887, 51859, 50858, 51498, 50911, 51118, 77553, 50880, 51616, 69639, 53393, 51187, 74359, 62060, 50809, 57579, 51247, 51158, 51050, 50967, 51039, 52639, 50945, 51566, 54609, 51336, 52949, 50918, 52301, 51013, 51859, 51661, 51498, 52195, 51118, 51290, 51023, 51343, 51061, 51285, 51616, 51896, 53316, 50884, 50900, 68669, 70002, 50918, 51974, 51187, 80028, 51189, 53357, 53238, 51187, 50818, 51050, 55322, 50945, 51167, 53503, 51095, 52551, 50893, 51557, 51110, 51762, 50900, 67426, 52301, 50897, 51767, 51060, 51118, 50925, 53316, 71255, 51537, 50297, 59960, 66308, 55977, 51472, 53455, 51364, 53503, 51173, 53088, 51362, 52160, 51552, 51557, 50952, 51341, 51362, 51020, 50983, 52947, 51472, 53804, 50846, 50956, 51294, 51247, 51189, 50861, 51446, 50906, 51472, 52354, 51175, 53804, 50884, 51050, 55126, 53503, 51111, 52551, 50924, 51557, 51221, 56457, 50945, 51566, 52301, 50833, 51767, 51158, 51118, 50937, 53316, 50884, 71430, 51050, 54777, 55977, 51661, 53455, 51291, 53503, 51158, 53088, 51294, 52160, 51573, 51341, 51294, 51020, 51204, 52947, 51977, 53804, 72792, 51294, 51247, 51446, 50861, 51291, 50906, 51336, 53357, 53238, 51187, 50818, 51050, 63959, 50945, 51167, 53503, 51124, 52551, 50924, 51557, 51095, 52105, 50997, 78271, 52301, 51194, 51767, 50991, 51118, 51178, 53316, 50846, 51050, 50942, 50956, 62034, 66308, 55977, 50849, 53455, 50812, 53503, 50938, 53088, 50795, 52160, 50882, 51341, 50833, 51020, 53197, 51187, 50834, 56437, 51085, 50892, 52354, 51175, 54609, 50859, 52949, 50809, 52301, 50800, 51859, 50859, 51498, 50911, 51118, 50887, 51616, 50859, 61012, 51023, 53238, 51187, 74359, 63307, 60611, 50812, 51247, 71570, 50889, 51039, 52639, 50945, 51566, 54609, 51364, 52949, 51472, 52301, 51016, 51859, 51285, 51498, 52195, 51118, 51016, 51023, 51362, 51061, 51496, 51616, 51685, 53316, 50884, 50900, 74340, 51364, 50877, 50918, 51974, 51187, 80028, 51291, 53357, 53238, 51187, 50818, 51050, 76623, 50945, 51167, 53503, 51095, 52551, 50893, 51557, 50967, 51762, 50900, 77393, 52301, 50897, 51767 ]

[ 0, 250, 20902, 3495, 8, 5175, 2365, 1349, 4246, 10, 20535, 2810, 6, 6755, 12547, 6, 1076, 560, 31365, 25999, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 13950, 163, 5683, 11, 204, 73, 306, 86, 6, 42, 15352, 30054, 8, 33558, 2214, 11, 5, 762, 9, 230, 538, 16, 686, 7, 17627, 9417, 8, 9769, 4, 20, 1049, 33215, 16739, 10726, 9, 12608, 6, 163, 428, 6, 2060, 6, 12608, 6, 8, 163, 428, 6, 2351, 10, 1313, 8, 1372, 5466, 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 ]

[ 56236, 53206, 50834, 54468, 50924, 51113, 54923, 68673, 53045, 50863, 52537, 51400, 50417, 51357, 53364, 53405, 51349, 50884, 51093, 53657, 51987, 50863, 51280, 50810, 68140, 51119, 55797, 51349, 50884, 51107, 56169, 52917, 51374, 50924, 51266, 53590, 57875, 52539, 50863, 58001, 51124, 50429, 51201, 55718, 53196, 51349, 50884, 51182, 54748, 51987, 50863, 51280, 50810, 68140, 51119, 56529, 51349, 50884, 51284, 53229, 50863, 54585, 50924, 51558, 51747, 54545, 50863, 52537, 51377, 50441, 51304, 53229, 53325, 51349, 50884, 51384, 55352, 51987, 50863, 51280, 50854, 68140, 51119, 56888, 51349, 50884, 51733, 56169, 52805, 51374, 50924, 51690, 52972, 57875, 52539, 50863, 58001, 51124, 50453, 51926, 53229, 53555, 51349, 50884, 52487, 53187, 51987, 50863, 51280, 50810, 51232, 50942, 51119, 54678, 51349, 50884, 54294, 55718, 50863, 54468, 50924, 53506, 53632, 54192, 75383, 53127, 50863, 52537, 51377, 50417, 54294, 55579, 52291, 53405, 51349, 50884, 52487, 54384, 52275, 51987, 50863, 51280, 50810, 51232, 50897, 51119, 54347, 51349, 50884, 51926, 54384, 51987, 52917, 51374, 50924, 51733, 53632, 57875, 53889, 64184, 53127, 50863, 58001, 51221, 50429, 51384, 54384, 52539, 53196, 51349, 50884, 51304, 55182, 51877, 51987, 50863, 51280, 50810, 68140, 51119, 54112, 51349, 50884, 51558, 54384, 53045, 50863, 54585, 50924, 51284, 53197, 54192, 64184, 52079, 50863, 52537, 51221, 53525, 52786, 53325, 51349, 53683, 51909, 51987, 50863, 51280, 50810, 74456, 51119, 56888, 51349, 53683, 52539, 52805, 51374, 50924, 51667, 50882, 52792, 50844, 52487, 50833, 64010, 50859, 53152, 53590, 57875, 53889, 68442, 52079, 50863, 58001, 51178, 50999, 52722, 54706, 52823, 53555, 51349, 50884, 51667, 50859, 52792, 50810, 52487, 50862, 56636, 51173, 52489, 73135, 51872, 51987, 50863, 51280, 50854, 68140, 51119, 57651, 51349, 53683, 52793, 50863, 54468, 50924, 51667, 51500, 52792, 51400, 52487, 51124, 55912, 50924, 51913, 50977, 58664, 61731, 53045, 50863, 53321, 53405, 51349, 52240, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 53910, 51349, 53963, 52917, 51374, 50924, 52185, 50854, 53811, 50844, 52838, 50813, 64434, 50890, 52851, 53303, 57875, 52539, 50863, 51147, 52722, 53666, 53196, 51349, 50884, 52185, 50808, 53811, 50874, 52838, 53225, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54112, 51349, 53963, 50863, 54585, 50924, 52185, 51159, 53811, 51380, 52838, 51221, 52055, 50888, 50863, 54234, 53325, 51349, 52240, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54803, 51349, 53963, 57989, 52974, 53140, 51374, 50924, 52522, 50808, 52405, 50844, 64434, 50800, 52851, 53197, 57875, 52539, 50863, 51114, 52722, 54287, 60570, 52974, 53176, 51349, 50884, 52522, 50840, 52405, 56768, 51877, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54678, 51349, 53963, 50863, 54468, 50924, 52522, 50807, 52974, 51097, 52405, 51267, 58664, 52539, 50863, 53321, 53405, 51349, 52240, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54347, 51349, 53963, 60931, 52170, 52688, 51374, 50924, 51905, 50866, 64434, 50859, 52851, 53590, 57875, 52539, 50863, 51028, 51819, 50427, 54103, 50938, 53666, 53196, 51349, 50884, 52376, 51191, 52075, 51283, 51733, 51134, 78863, 50863, 51119, 50813, 51777, 50810, 63885, 50968, 54830, 50435, 51349, 53963, 50863, 54585, 50924, 52055, 50888, 50863, 54234, 53325, 51349, 50884, 64434, 50901, 52851, 55993, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54803, 51349, 53963, 52805, 51374, 50924, 51905, 50854, 64010, 50901, 53152, 50838, 77156, 52539, 70738, 51558, 50862, 54287, 60535, 51284, 60425, 51629, 53211, 51349, 50884, 56636, 50849, 52489, 60193, 51877, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 61242, 51600, 57185, 51266, 54655, 51349, 53963, 59789, 51107, 57867, 51488, 50834, 54468, 50924, 55912, 50910, 51913, 50955, 58664, 52539, 57392, 51357, 50834, 69651, 53321, 53405, 51349, 50884, 52376, 50808, 51584, 50810, 52075, 55352, 51987, 50863, 51119, 50810, 51777, 50810, 63885, 50877, 53265, 50968, 53265, 50423, 51349, 53963, 52917, 51374, 50924, 52376, 50859, 51584, 50955, 52075, 50833, 64434, 50859, 52851, 53590, 57875, 52539, 50863, 53666, 53196, 51349, 50884, 52376, 50938, 51584, 51058, 52075, 64834, 51987, 50863, 51119, 50813, 51777, 50810, 51489, 54112, 51349, 53963, 50863, 55511, 50924, 51722, 51534, 52974, 51312, 52055, 50888, 79929, 53490, 50322, 79980, 52522, 51048, 54234, 53325, 51526, 52240, 51987, 50863, 51777, 50810, 51308, 50810, 51489, 54803, 51526, 53963, 52805, 51640, 50924, 54103, 50897, 52089, 50838, 52170, 50987, 64010, 50808, 53152, 53948, 57875, 52539, 50863, 50989, 79454, 51819, 54287, 53555, 51526, 50884, 52075, 50915, 51902, 69048, 51877, 51987, 50863, 51308, 50810, 51777, 50810, 63885, 50973, 53490, 50320, 52254, 50457, 52376, 51073, 50459, 51526, 53963, 50863, 59373, 50924, 58664, 52539, 50863, 53321, 53405, 51910, 50884, 51612, 51419, 78863, 50863, 51429, 50813, 71499, 52070, 71414, 55044, 50902, 55044, 50421, 52457, 51056, 52089, 51381, 50423, 51910, 53963, 52917, 51640, 50924, 64010, 50809, 53152, 52784, 57875, 52539, 50863, 53666, 53196, 51910, 50884, 51600, 73705, 51987, 50863, 51429, 50813, 71499, 52070, 54350, 51910, 53963, 50863, 58711, 50924, 51558, 50978, 56844, 50879, 52310, 50901, 52055, 50888, 50863, 54234, 53325, 51910, 50884, 51357, 51051, 55912, 50849, 51913, 64602, 51987, 50863, 51429, 50813, 51275, 50813, 52070, 54417, 51910, 53963, 52805, 51640, 50924, 51667, 50808, 52792, 50925, 52487, 50833, 56636, 50873, 52489, 50974, 77156, 52539, 50863, 50999, 52722, 54287, 60570, 51667, 54418, 51910, 50884, 52792, 50925, 52487, 50862, 64010, 50892, 53152, 66671, 51877, 51987, 50863, 51429, 50813, 51275, 50813, 52070, 54655, 51910, 53963, 50863, 54281, 50924, 51667, 51290, 52792, 51267, 52487, 51124, 64434, 51177, 52851, 51277, 58664, 52539, 50863, 53321, 53405, 51374, 52240, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 53910, 51374, 53963, 60931, 52185, 50854, 53811, 58382, 51857, 50924, 52838, 50813, 50712, 50291, 50897, 56844, 50959, 77156, 52539, 50863, 51147, 52722, 53666, 61193, 52185, 50854, 53811, 59780, 51374, 50884, 52838, 53225, 51987, 50863, 51512, 50813, 51429, 50810, 51489, 54350, 51374, 53963, 50863, 54360, 50924, 52185, 50943, 53811, 51267, 52838, 51255, 52055, 50888, 50863, 54234, 53325, 51374, 52240, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 54417, 51374, 53963, 57989, 52974, 53140, 51857, 50924, 52522, 50808, 52405, 50844, 50712, 50291, 50910, 56844, 50955, 77156, 52539, 50863, 51114, 52722, 54287, 60570, 52974, 54900, 51374, 50884, 52522, 50808, 52405, 56768, 51877, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 54655, 51374, 53963, 50863, 54281, 50924, 52522, 51073, 52974, 51253, 52405, 51109, 58664, 52539, 50863, 53321, 53405, 51374, 52240, 51987, 50863, 51512, 50813, 51429, 50813, 51489, 53910, 51374, 53963, 60931, 51986, 54325, 51857, 50924, 51902, 50892, 51558, 50866, 50712, 50291, 50812, 56844, 53835, 57875, 52539, 50863, 50965, 69973, 51819, 50427, 55822, 50938, 53666, 61193, 51986, 52519, 50432, 51374, 50884, 52457, 51294, 51612, 51295, 51384, 51134, 78863, 50863, 51512, 50820, 51429, 50813, 51489, 68340, 54830, 50902, 54830, 50435, 51374, 53963, 50863, 54360, 50924, 52055, 50888 ]

[ 0, 250, 2635, 8, 19448, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 816, 5, 483, 33301, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 38668, 11212, 6, 8, 21979, 8669, 4, 20, 2125, 7630, 6568, 10, 5679, 26709, 8, 8728, 5466, 6, 10686, 13, 304, 11, 3541, 4, 85, 18, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 1171, 10, 33215, 16739, 9, 272, 6, 230, 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 ]

[ 57128, 50799, 56336, 60130, 66789, 60130, 50740, 50335, 60130, 50438, 50740, 50332, 60130, 61627, 67931, 69103, 61627, 50700, 50280, 61489, 55793, 69103, 57211, 67375, 52503, 56643, 52503, 52566, 50974, 51711, 54270, 52137, 54270, 50420, 53647, 50974, 65387, 56307, 55554, 50974, 50743, 50328, 55544, 53647, 50974, 50743, 50327, 56298, 53260, 51477, 50743, 50328, 56391, 65387, 51477, 50799, 57697, 52503, 53460, 52503, 53000, 51244, 50700, 50280, 56599, 54720, 64880, 50420, 53647, 50974, 70925, 72599, 55554, 50974, 50743, 50328, 55544, 53647, 50974, 50743, 50327, 56298, 53000, 51477, 50743, 50328, 56391, 70925, 51477, 50799, 56643, 52147, 52583, 52147, 53039, 51477, 50700, 50280, 54270, 53817, 54373, 50420, 53647, 50974, 66652, 51477, 50426, 55554, 50974, 50743, 50328, 55544, 53647, 50974, 50743, 50327, 56298, 57697, 52147, 53460, 52147, 53039, 51477, 50743, 50328, 56391, 66652, 51477, 50799, 56643, 52503, 52583, 52503, 52697, 70997, 64220, 51058, 50422, 53039, 51097, 50428, 66652, 51097, 50431, 55554, 54143, 50437, 50743, 50327, 54143, 50440, 53039, 54143, 50446, 66652, 54143, 79296, 56643, 56308, 53460, 57912, 52507, 53678, 56336, 53700, 50740, 50332, 68334, 53647, 51939, 54720, 52263, 50420, 50743, 50328, 51939, 57528, 50438, 51615, 55856, 50804, 59875, 60789, 50612, 51824, 66164, 51000, 53721, 58271, 51070, 60004, 50913, 50368, 52752, 51126, 53341, 51000, 50799, 51925, 73680, 75070, 50933, 56063, 51126, 55618, 57203, 51070, 57959, 50913, 50908, 53198, 59656, 52133, 57771, 51925, 60705, 64274, 60466, 73896, 53721, 58271, 51070, 60004, 50913, 50369, 52752, 51126, 53341, 51000, 50799, 51925, 60705, 72184, 51123, 56063, 51126, 55618, 57203, 50832, 60387, 60838, 50913, 50908, 53198, 51000, 53550, 55095, 50612, 50368, 51342, 60466, 73896, 53721, 55634, 51070, 60004, 50913, 67091, 51123, 53341, 51000, 50799, 51070, 60705, 65275, 51123, 50415, 51881, 51490, 56063, 51000, 55618, 57203, 50832, 59031, 57959, 73896, 53198, 59656, 51743, 51671, 50804, 52984, 50612, 50368, 51342, 51123, 50439, 54720, 51748, 66164, 51126, 53721, 58271, 51070, 60004, 50913, 67091, 51123, 53341, 51126, 55669, 59031, 60789, 50612, 51524, 56063, 55375, 50913, 57203, 51070, 59469, 57748, 73896, 53198, 59656, 51070, 75070, 51142, 51925, 51432, 50439, 51881, 51445, 53817, 52988, 66164, 50908, 53721, 58271, 51070, 60004, 50913, 67091, 51524, 53341, 51126, 50799, 51070, 75070, 51051, 51925, 51524, 56063, 51126, 55618, 57203, 50832, 55578, 57959, 73896, 53198, 59656, 54720, 51922, 51656, 64880, 51711, 66898, 51070, 75070, 50933, 51925, 51824, 50439, 51743, 58306, 66164, 51126, 53721, 53166, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50799, 51925, 73680, 60705, 50933, 56063, 51126, 55618, 57203, 50832, 57503, 60838, 73896, 53198, 59656, 53817, 51314, 51615, 55856, 52033, 55490, 51070, 50368, 52752, 51524, 50804, 58867, 50913, 50908, 53721, 58271, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50799, 53389, 51080, 51925, 73680, 60705, 50959, 56063, 51126, 55618, 57203, 50832, 57503, 57959, 50913, 50908, 53198, 59656, 53817, 52826, 51881, 54532, 52187, 61124, 51070, 60789, 50612, 51524, 50804, 51277, 66164, 50908, 53721, 58271, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50799, 51711, 55275, 52033, 55275, 51070, 50368, 52752, 75070, 50933, 56063, 55375, 50913, 56323, 50832, 57462, 57959, 73896, 53198, 59656, 52225, 52147, 51070, 60789, 50612, 51524, 50804, 64208, 73896, 53721, 51126, 50449, 51136, 53057, 50998, 57812, 60325, 50970, 75820, 67091, 51123, 53341, 51126, 50799, 53460, 57771, 53278, 52503, 52507, 54270, 50970, 51013, 51711, 54270, 52137, 54270, 51925, 60705, 64274, 61530, 51309, 56063, 51126, 55618, 57203, 51070, 70206, 55544, 50913, 50369, 52752, 51126, 53198, 66861, 51207, 51422, 50986, 51538, 50438, 52583, 52503, 71927, 52225, 52147, 50804, 55095, 50612, 50368, 51342, 70206, 62977, 78369, 50970, 58831, 51126, 53721, 55634, 68583, 51070, 60004, 50960, 51391, 50913, 67091, 51123, 53341, 51000, 50799, 56470, 52147, 51838, 52147, 51070, 60705, 65275, 70206, 64788, 51961, 50420, 51068, 50364, 51102, 63521, 51068, 66832, 57203, 51068, 54620, 59031, 51123, 50427, 67911, 50929, 56632, 50986, 52282, 50970, 52392, 73896, 53198, 59656, 53460, 57771, 52693, 52503, 51656, 52503, 51711, 52503, 52036, 52503, 52137, 54270, 50804, 65232, 69250, 50368, 51342, 61530, 51797, 66164, 51126, 53721, 53529, 50313, 52800, 51070, 51123, 50876, 55726, 50931, 52863, 50913, 67091, 51123, 50999, 50855, 53341, 53529, 50323, 50855, 55669, 59031, 60789, 50612, 51524, 50798, 51645, 50951, 57368, 51062, 54878, 50913, 72236, 54191, 50316, 55081, 51068, 53461, 57203, 51068, 58869, 59469, 57748, 73896, 53198, 51126, 50436, 75174, 50960, 54181, 52583, 52503, 79750, 52187, 52503, 51838, 52503, 51068, 64274, 75070, 51142, 51925, 51432, 50798, 51484, 50444, 50947, 69046, 50908, 53721, 58271, 50929, 61119, 60004, 50913, 67091, 51524, 50457, 51076, 51189, 53341, 51126, 50799, 56470, 52147, 51070, 75070, 51051, 51925, 51524, 50798, 61784, 51068, 63463, 64367, 51068, 54695, 57203, 50947, 51121, 51068, 53742, 55578, 57959, 51076, 50933, 51068, 54695, 66129, 51032, 71542, 59656, 53460, 54270, 52693, 52503, 51711, 57771, 52036, 52503, 51070, 75070, 50933, 51068, 50959, 51925, 51824, 50444, 50970, 51742, 73896, 53721, 53166, 51070, 60004, 50913, 67091, 51126, 53341, 51126, 50460, 50998, 51318, 50461, 65738, 50799, 65429, 51925, 73680, 50368, 51822, 56444, 55759, 52025, 50420, 51076, 51337, 73896, 55618, 57203, 50947, 59145, 57503, 60838, 50998, 51003, 66976, 73896, 53198, 59656, 53278, 52147, 52225, 52147, 51070, 50368, 52752, 51524, 50798, 62314, 72927, 50968, 63397, 50951, 53524, 50960, 51241, 51078, 51391, 50913, 72236, 62574, 50328, 56325, 51068, 68703, 58271, 51068, 57694, 51123, 51220, 54583, 51068, 68918, 67091, 53529, 50328, 50846, 53341, 51126, 50460, 50986, 61145, 50929, 50813, 59755, 50799, 52693, 52147, 51032, 50880, 51838, 52147, 52036, 52147, 51068, 75614, 73680, 60705, 61174, 53131, 50323, 50854, 50876, 53728, 50913, 79986, 50854, 50931, 54080, 50913, 57203, 50832, 57503, 57959, 50913, 50908, 53198, 51126, 50436, 60917, 50437, 50929, 52444, 52583, 52147, 51076, 50941, 52187, 52147, 51838, 52147, 51070, 60789, 50612, 51524, 50804, 51277, 62198, 50876, 70455, 54811, 50913, 50908, 66557, 50876, 51328, 53721, 58271, 56470, 52025, 51068, 59317, 60004, 50913, 67091, 69510, 50986, 54702, 51126, 50460, 50929, 61145, 51032, 50813, 50799, 53460, 62321, 52693, 52147, 51615, 52503, 51711, 52503, 52036, 52147, 50852, 56289, 57694, 50368, 52752, 61530, 62788, 50933, 52360, 51210, 50861, 51212, 50415, 75023, 50420, 51068, 73803, 55375, 50913, 51000, 52118, 57252, 50832, 57462, 57959, 51068, 68918, 51126, 52360, 50933, 53198, 59656, 53278, 55586, 52225, 52147, 51068, 50363, 51053, 51376, 50441, 52118, 53086, 51335, 68466, 51335, 71841, 51335, 50908, 52360, 51058, 50453, 51335, 50368, 51865, 54038, 51335, 66816, 50835, 52118, 58247, 51335, 50829, 50799, 53460, 54270, 53278, 52503, 52507, 54270, 50929, 51101, 53817, 52503, 52133, 54270, 52033, 52503, 51615, 54270, 54307, 52829, 51338, 51692, 51335, 60455, 57693, 53597, 50588, 54023, 50612, 63922, 51032, 54766, 53991, 51032, 51124, 50913, 50904, 51768 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 10, 33215, 16739, 9, 272, 6, 163, 119, 6, 8, 3676, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 42, 765, 2125, 7630, 6568, 10, 1472, 9, 5823, 8, 10563, 6, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 51085, 51285, 50900, 68542, 50968, 74513, 50980, 51062, 50980, 51430, 56158, 51324, 51285, 51086, 68660, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 55547, 51285, 51027, 68542, 50968, 74513, 50980, 51062, 50980, 51430, 56158, 51214, 51285, 51026, 68660, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 54734, 51285, 51050, 51285, 51713, 50821, 52306, 56191, 51713, 50821, 52306, 52422, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 56158, 51841, 51285, 51315, 68660, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51776, 50821, 52306, 55982, 51776, 50821, 52306, 50821, 54868, 51285, 50899, 51285, 51713, 51285, 52306, 51285, 50927, 51226, 56207, 68422, 72694, 50980, 50999, 56925, 51011, 52322, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51776, 50821, 52306, 50821, 50953, 53662, 59575, 50816, 59779, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51776, 50821, 52306, 50821, 50953, 52090, 55967, 50951, 51160, 51220, 51160, 51146, 51160, 51487, 51160, 51214, 51958, 50299, 50896, 51224, 52610, 78251, 51304, 50806, 58918, 51335, 59908, 51326, 52935, 50951, 50806, 51107, 50806, 51384, 50806, 51443, 52090, 61200, 53997, 51285, 50900, 51285, 51266, 53898, 51733, 53898, 50964, 65086, 52090, 51226, 51335, 51469, 51039, 52247, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 52309, 50964, 58716, 52322, 51324, 51285, 51086, 51285, 51205, 65086, 52090, 50980, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 53757, 57175, 51205, 61200, 55547, 51285, 51027, 51285, 51011, 65086, 52090, 51226, 51039, 54901, 76614, 51384, 52422, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51266, 50806, 51733, 66592, 51201, 50806, 51690, 59832, 76112, 56158, 51214, 51285, 51026, 51285, 51182, 50896, 51926, 50896, 50953, 64418, 50980, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 53374, 50816, 57175, 51266, 50806, 51733, 70129, 61200, 54734, 51285, 51050, 51285, 51093, 51685, 51304, 51685, 51713, 50821, 52306, 50821, 50945, 65086, 52090, 51226, 50417, 51713, 51685, 52306, 51685, 51039, 52247, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 57819, 52309, 50945, 76112, 52322, 51841, 51285, 51315, 51285, 51019, 65086, 52090, 58648, 68027, 51284, 73386, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 50806, 51776, 50821, 52306, 54250, 53757, 50980, 50453, 51776, 51160, 52306, 66911, 51266, 50806, 51733, 50806, 51019, 53374, 54868, 51285, 50899, 51285, 51266, 51196, 51733, 51196, 51713, 51285, 52306, 51285, 50927, 65086, 52090, 51226, 51039, 52247, 50877, 68422, 72694, 50980, 50999, 57819, 52309, 71654, 53072, 56158, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51201, 50896, 51690, 50896, 51776, 50821, 52306, 50821, 50953, 53662, 56050, 50876, 52236, 50321, 52236, 50328, 52236, 50287, 50821, 51026, 50821, 51776, 50821, 52306, 50821, 50953, 72880, 50806, 51180, 55967, 50951, 51160, 51220, 51160, 51146, 51160, 51487, 51160, 51214, 51958, 50299, 54214, 53153, 78251, 51304, 50806, 51648, 50980, 52306, 50806, 58918, 51224, 51508, 59908, 51326, 52935, 50951, 50806, 51107, 50806, 51384, 50806, 51776, 50806, 51443, 52090, 61200, 53997, 51285, 50900, 51285, 51266, 53898, 51733, 53898, 51888, 50821, 52306, 50821, 50964, 65086, 52090, 51226, 51335, 51469, 50417, 51888, 50821, 52306, 50821, 51039, 52247, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 52309, 50964, 76112, 52322, 51324, 51285, 51086, 51285, 51776, 50821, 52306, 50821, 51205, 65086, 52090, 77756, 51776, 50821, 52306, 67799, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 62769, 53072, 52931, 51205, 66754, 55547, 51285, 51027, 51285, 51888, 50821, 52306, 50821, 51011, 65086, 52090, 51226, 50417, 51888, 50821, 52306, 50821, 51039, 54901, 76614, 51384, 52422, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51266, 50806, 51733, 66592, 51201, 50806, 51690, 59832, 76112, 56158, 51214, 51285, 51026, 51285, 51182, 50896, 51926, 50896, 51776, 50821, 52306, 50821, 50953, 64418, 77756, 51776, 50821, 52306, 67799, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 53374, 50816, 57175, 51182, 50806, 51926, 50806, 51776, 70129, 61200, 54734, 51285, 51050, 51285, 51284, 51685, 52487, 51685, 50945, 65086, 52090, 51226, 51039, 54901, 51888, 62588, 51713, 57327, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 57819, 57200, 52002, 52686, 53170, 50880, 50945, 76112, 55246, 52306, 74532, 51841, 51285, 51315, 51285, 51019, 65086, 52090, 58648, 68027, 51284, 73386, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51201, 50806, 51690, 53757, 53072, 52931, 51266, 50806, 51733, 50806, 51019, 66754, 54868, 51285, 50899, 51285, 51266, 51274, 51733, 51274, 50927, 65086, 52090, 51226, 51039, 52247, 50877, 68422, 72694, 50980, 50999, 50980, 51713, 50980, 52306, 57819, 52309, 51201, 51685, 51690, 51685, 71654, 53072, 56158, 51214, 51285, 51026, 51285, 51776, 50821, 52306, 50821, 50953, 53662, 77756, 51776, 50821, 52306, 50821, 50953, 51160, 51180, 52610, 50951, 50980, 51220, 50980, 51146, 50980, 51487, 50980, 51776, 50806, 52306, 70129, 53374, 50816, 57175, 51443, 61200, 57211, 50876, 72676, 52500, 50900, 52500, 50964, 52500, 51335, 51469, 58060, 52236, 50328, 53939, 65585, 51062, 55104, 50973, 50821, 51220, 52686, 50861, 62656, 52322, 50871, 50821, 50931, 56050, 50916, 50821, 50968, 53247, 50900, 66894, 56312, 50861, 71560, 58215, 50871, 63037, 52931, 51026, 50821, 68928, 50953, 54863, 51027, 50821, 74231, 73252, 55524, 50821, 70433, 51133, 56191, 50900, 50821, 50876, 53113, 51026, 50821, 50861, 54007, 51027, 50821, 74231, 50953, 52422, 50900, 50821, 50876, 55104, 50871, 50821, 50931, 52686, 50916, 50821, 70433, 50964, 51285, 50435, 50900, 56501, 57419, 50871, 50821, 50931, 53247, 50916, 50821, 50968, 54787, 50900, 56501, 52610, 51224, 59908, 51027, 50821, 50877, 52935, 51026, 50821, 68928, 50953, 68398, 56277, 51086, 50821, 50973, 50821, 73252, 57211, 65585, 51085, 51285, 50900, 51285, 51266, 51469, 51733, 51469, 50964, 65086, 52090, 51226, 51335, 51469, 72434, 52200, 59013, 52113, 57327, 50968, 74513, 50980, 51062, 50980, 51430, 77892, 52113, 52309, 50964, 66754, 52113, 52322, 51324, 51285, 51086, 51285, 51205, 65086, 52090, 50980, 52113, 50806, 51180, 50806, 52113, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 57819, 53757, 50980, 52113, 52931, 51205, 61200, 52113, 50806, 55547, 51285, 51027, 51285, 51266, 51585, 51733, 51585, 51011, 65086, 52090, 51226, 52113, 50896, 51039, 52247, 50968, 74513, 50980, 51062, 50980, 51430, 77892, 52113, 52309, 51011, 76112, 50980, 52113, 52322, 51214, 51285, 51026, 51285, 50953, 64418, 50980, 52113, 50896, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 50980, 51107, 50806, 51384, 53374, 50816, 50980, 51633, 52931, 51266, 50806, 51733, 70129, 61200, 52113, 50806, 54734, 51285, 51050, 51285, 51093, 51469, 51304, 51469, 50945, 65086, 52090, 51226, 51643, 51285, 51039, 52247, 50931, 50980, 50999, 50980, 51062, 50980, 51339, 57819, 52309, 50945, 76112, 52322, 51841, 51285, 51315, 51285, 51019, 65086, 52090, 50980, 51180, 52610, 50968, 74513, 50980, 51062, 50980, 51430, 56589, 53757, 57175, 51019, 53374, 52135, 61765 ]

[ 0, 250, 765, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 11739, 9, 12280, 3275, 1725, 3109, 6, 3459, 13305, 6, 13305, 6, 8, 11006, 4122, 12, 1054, 330, 13305, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 1472, 9, 11098, 8, 26545, 149, 63, 15352, 30054, 15229, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 12608, 119, 401, 6, 8, 3676, 17992, 7, 63, 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 ]

[ 54458, 50450, 51153, 50889, 52126, 50889, 52769, 50889, 55411, 50889, 69296, 51077, 52126, 51077, 52769, 51077, 55411, 61086, 72648, 52126, 50889, 51774, 50889, 55411, 55082, 51153, 50889, 51771, 50889, 51774, 50889, 55342, 50889, 69378, 51077, 51771, 51077, 51774, 50889, 53029, 54243, 52745, 50805, 53029, 52605, 52806, 52446, 51099, 51077, 52003, 51077, 52745, 50889, 53029, 55082, 58748, 50889, 50799, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 54243, 51275, 50889, 51771, 50889, 52706, 50889, 60730, 53912, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 55082, 51435, 50889, 51816, 50889, 51774, 50889, 53571, 50889, 50799, 51489, 51077, 51771, 51077, 51774, 51077, 53029, 61086, 51275, 50889, 51890, 50889, 52745, 50889, 54769, 55082, 51153, 50889, 52126, 50889, 51774, 50889, 53249, 50889, 69296, 51077, 52126, 50889, 51774, 51077, 53249, 67297, 52775, 53912, 51429, 50889, 51771, 50889, 51614, 50889, 53029, 55082, 79092, 51816, 50889, 51614, 50889, 56280, 50889, 50799, 51429, 50889, 51771, 50889, 51614, 50805, 53029, 52864, 56194, 50805, 56280, 52483, 51153, 50889, 51771, 50889, 51774, 50889, 55342, 53912, 51275, 50889, 52427, 50889, 52239, 50889, 55061, 55082, 51489, 50889, 51816, 50889, 53022, 50889, 55411, 50889, 50799, 51429, 51077, 51816, 50889, 51614, 51077, 55061, 67297, 51771, 53912, 51119, 51141, 51771, 50889, 51614, 50889, 55061, 66336, 52775, 50889, 51774, 55069, 74383, 66301, 51538, 52003, 50805, 52745, 50805, 53029, 52864, 52003, 50805, 53722, 52483, 51771, 50805, 52769, 52605, 52427, 50805, 52745, 52446, 52092, 50805, 51614, 52815, 51771, 50805, 52769, 52596, 52427, 50805, 52745, 52961, 52092, 50805, 51614, 50805, 50799, 51516, 51077, 52092, 50889, 52239, 51077, 51660, 51077, 55342, 67297, 51959, 53912, 51435, 50889, 52427, 50889, 52239, 51077, 51614, 50889, 55061, 55082, 51489, 50889, 51959, 50889, 51774, 50889, 55411, 50889, 50799, 51435, 51077, 52427, 50805, 52239, 51077, 51614, 50805, 55061, 52864, 51959, 50805, 51774, 50805, 55411, 52483, 52092, 50889, 52745, 50889, 60730, 53912, 51489, 51077, 51959, 51077, 52239, 51077, 51774, 50889, 55411, 66336, 51614, 52961, 51774, 50805, 69378, 50889, 51771, 50889, 52745, 50805, 60730, 55385, 52806, 52483, 51489, 50889, 52427, 50889, 51660, 50889, 54769, 53912, 51153, 50889, 51816, 50889, 51660, 50805, 53249, 52815, 52769, 52596, 51275, 50889, 51816, 50889, 51614, 50889, 53571, 50889, 50799, 51429, 51141, 51771, 51141, 51614, 50805, 53029, 52864, 52806, 52483, 52745, 52605, 71107, 52775, 50805, 51774, 52446, 72648, 52745, 50889, 53029, 55082, 51153, 50889, 51771, 50889, 53022, 50889, 51774, 50889, 55411, 50889, 69296, 50889, 51771, 50889, 53022, 50889, 51774, 50889, 55411, 54243, 51429, 50889, 51771, 50889, 52495, 50889, 51614, 50889, 55061, 53912, 51153, 50889, 51771, 50889, 53022, 50889, 51774, 50889, 55342, 55082, 51275, 50889, 51816, 50889, 53022, 50805, 51774, 50805, 53571, 52961, 53022, 50805, 52745, 50805, 53029, 50805, 69296, 51077, 51771, 51077, 53022, 51077, 51774, 51077, 55411, 61086, 72648, 52114, 50889, 55243, 55082, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 50889, 50799, 51489, 50889, 51959, 50889, 52239, 50889, 51774, 50889, 55411, 54243, 51275, 50889, 51771, 50889, 52745, 50889, 60730, 53912, 51489, 50889, 51959, 50889, 52239, 50889, 51774, 50889, 55411, 55082, 51435, 50889, 52427, 50889, 52239, 50889, 51614, 50889, 55061, 50889, 50799, 51489, 51077, 51959, 51077, 52239, 51077, 51774, 51077, 55411, 52864, 55061, 52483, 55342, 52605, 53571, 52446, 51275, 50889, 52427, 50889, 52239, 50889, 52769, 52815, 53369, 52596, 51489, 50889, 51771, 50889, 51774, 50889, 55342, 50889, 50799, 51435, 50889, 51771, 50889, 52745, 50889, 55061, 54243, 51489, 50889, 51771, 50889, 51774, 50889, 55411, 53912, 51275, 50889, 51771, 50889, 52706, 50889, 60730, 55082, 51153, 50889, 52775, 50889, 52706, 50889, 58739, 50889, 50799, 51429, 51077, 51771, 51077, 52706, 51077, 59112, 54243, 53571, 53912, 51153, 50889, 51771, 50889, 52822, 50889, 55342, 55082, 51435, 50889, 51816, 50889, 51774, 50889, 53571, 50889, 50799, 51489, 51077, 51771, 51077, 51774, 51077, 53029, 61086, 51275, 51141, 51771, 50889, 52745, 51077, 53029, 66336, 51890, 55069, 73909, 69296, 51538, 51890, 50889, 52769, 51538, 55411, 78907, 52126, 52605, 52003, 52446, 52126, 50889, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 20902, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 42, 33928, 15229, 22750, 1626, 8593, 26358, 8, 10563, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 8, 6780, 10, 23667, 204, 73, 306, 20889, 6, 5, 13305, 3315, 5, 33301, 6, 2800, 30, 5, 38668, 9590, 8, 21072, 4, 20, 33215, 16739, 9, 163, 428, 6, 12608, 73, 387, 428, 6, 274, 6, 211, 119, 406, 6, 8, 272, 119, 3639, 7, 63, 17627, 17274, 13569, 9862, 6, 442, 24, 10, 1969, 2564, 13, 2365, 50, 1619, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 52632, 51194, 50801, 55456, 50800, 51687, 51103, 51231, 51103, 51414, 51103, 78594, 54456, 62806, 50800, 66866, 52632, 51194, 57986, 76234, 70021, 67782, 50795, 51532, 54150, 54456, 69829, 77993, 53269, 52632, 51178, 63735, 51687, 54249, 50956, 51362, 50906, 51294, 79807, 51541, 51572, 54478, 54456, 62806, 50800, 51231, 51359, 75857, 52632, 51095, 57986, 50882, 51414, 51945, 51647, 54622, 54456, 62806, 50800, 51980, 51518, 50965, 50940, 50906, 50938, 50457, 50956, 50952, 76362, 64613, 51095, 63735, 78594, 54456, 52839, 63628, 50952, 67944, 50965, 50952, 66866, 52632, 51095, 57986, 73485, 51112, 50956, 51238, 50861, 51427, 51532, 54150, 54456, 62400, 77993, 53269, 52632, 50967, 51976, 55900, 50965, 69366, 63628, 50890, 51572, 54478, 54456, 60596, 50800, 56139, 51328, 50956, 50858, 60074, 50445, 50965, 50859, 75857, 52632, 51121, 57986, 50882, 51687, 51242, 51231, 51121, 51414, 51121, 51980, 64290, 50830, 50956, 65449, 50861, 50882, 51647, 54622, 54456, 55966, 61441, 52903, 50906, 53454, 50457, 50871, 52903, 60506, 50812, 70277, 51100, 63735, 51410, 53520, 51303, 52045, 51414, 52045, 78594, 56907, 52808, 50800, 51510, 54149, 52687, 51100, 57986, 71646, 54150, 56907, 70311, 51556, 53269, 52687, 51177, 63735, 51572, 54478, 56907, 69829, 50800, 75857, 52687, 51177, 57986, 50882, 51647, 54622, 56907, 72705, 50800, 76362, 70277, 51100, 63735, 78594, 56907, 57154, 50800, 51510, 54149, 52687, 51111, 57986, 71646, 54150, 56907, 54265, 60661, 51457, 50822, 51556, 50851, 51414, 78583, 52687, 51100, 63735, 51303, 51090, 51572, 54478, 56907, 52839, 50800, 51414, 68527, 52636, 53567, 52687, 51158, 57986, 50882, 51414, 51111, 51647, 52955, 56907, 53021, 50800, 51457, 50938, 76362, 64613, 51100, 63735, 51687, 52045, 51231, 52045, 51414, 53520, 78594, 54456, 52808, 50800, 51510, 54149, 52632, 51100, 57986, 76234, 50830, 50965, 50952, 67944, 51532, 54154, 54456, 70311, 51556, 54362, 52632, 51177, 51976, 59123, 51091, 50956, 51294, 50439, 77448, 51572, 54478, 54456, 69829, 50800, 75857, 52632, 51177, 57986, 50882, 51647, 54622, 54456, 72705, 59747, 50965, 51033, 50956, 50940, 60074, 76362, 64613, 51100, 63735, 78594, 54456, 57154, 63628, 50940, 50965, 65054, 60074, 66866, 52632, 51111, 57986, 73485, 51215, 50956, 51173, 72513, 51388, 51532, 54150, 54456, 54265, 57083, 51231, 51419, 51556, 50851, 51687, 78583, 52632, 51100, 63735, 52303, 53177, 50312, 76234, 67166, 50906, 50859, 51572, 76065, 50906, 54630, 54456, 52839, 50800, 51687, 52098, 50307, 50859, 70588, 51618, 70936, 50906, 51757, 52632, 51158, 57986, 50882, 51687, 51111, 50956, 71644, 50890, 51647, 54622, 54456, 53021, 50800, 51231, 65159, 54484, 50906, 54300, 50871, 55198, 60506, 50812, 70277, 51650, 53365, 51410, 53520, 51303, 52045, 51414, 52045, 78594, 56907, 54068, 50800, 51510, 54149, 52687, 51177, 57986, 71646, 54150, 56907, 55325, 77993, 54362, 52687, 51121, 63735, 51572, 54478, 56907, 55690, 50800, 75857, 52687, 51178, 57986, 50882, 51647, 54622, 56907, 62806, 50800, 76362, 70277, 51178, 63735, 78594, 56907, 54068, 50800, 66866, 52687, 51178, 57986, 71646, 54150, 56907, 56522, 57083, 51457, 54378, 50852, 50858, 51414, 78583, 52687, 51121, 63735, 51303, 51090, 51572, 54478, 56907, 56895, 50812, 51414, 55758, 52687, 51100, 57986, 50882, 51414, 51111, 51647, 54622, 56907, 52808, 50800, 51457, 50938, 76362, 64613, 51194, 63735, 52303, 53454, 51687, 53454, 51231, 53454, 78594, 54456, 62806, 50800, 66866, 52632, 51194, 57986, 76234, 50858, 60074, 70588, 51532, 54150, 54456, 69829, 77993, 53269, 52632, 51178, 51976, 63628, 51294, 50906, 51204, 79807, 51294, 51572, 54478, 54456, 62806, 50800, 75857, 52632, 51095, 57986, 50882, 51647, 54622, 54456, 62806, 63628, 51175, 50965, 51175, 50457, 50906, 51238, 76362, 64613, 51095, 63735, 78594, 54456, 52839, 62674, 50952, 67944, 50421, 50956, 50952, 66866, 52632, 51095, 57986, 76234, 51167, 50906, 51215, 72513, 51505, 51532, 54154, 54456, 62400, 77993, 53269, 52632, 50967, 63735, 51231, 51336, 50965, 73485, 75169, 50880, 51572, 54478, 54456, 60596, 50800, 51414, 51218, 50965, 50921, 75983, 50956, 50858, 75857, 52632, 51121, 57986, 50882, 51980, 63422, 50830, 50956, 50858, 64782, 51647, 54622, 54456, 55966, 59123, 62963, 50864, 51621, 62800, 50906, 53090, 50899, 52045, 50871, 54484, 70277, 51194, 63735, 51410, 53454, 51303, 53454, 51414, 53454, 78594, 56907, 62806, 50800, 66866, 52687, 51194, 57986, 71646, 54150, 56907, 69829, 77993, 53269, 52687, 51178, 63735, 51572, 54478, 56907, 62806, 50800, 75857, 52687, 51095, 57986, 50882, 51647, 54622, 56907, 62806, 50800, 76362, 70277, 51095, 63735, 78594, 56907, 52839, 50800, 66866, 52687, 51095, 57986, 71646, 54150, 56907, 62400, 77993, 53269, 52687, 50967, 63735, 51457, 51336, 51572, 54478, 56907, 60596, 50800, 51825, 51218, 50447, 52636, 53567, 52687, 51121, 57986, 50882, 52932, 50974, 51647, 54622, 56907, 55966, 50800, 51621, 50858, 64613, 51100, 63735, 51687, 51103, 51231, 51103, 51414, 51103, 78594, 54456, 52808, 50800, 51510, 54149, 52632, 51100, 57986, 76234, 72728, 68315, 50906, 50887, 51532, 54154, 54456, 70311, 51556, 54362, 52632, 51177, 63735, 51687, 54249, 50956, 51294, 50906, 51091, 79807, 51541, 51572, 54478, 54456, 69829, 50800, 51231, 51359, 75857, 52632, 51177, 57986, 50882, 51414, 51945, 51647, 54622, 54456, 72705, 50800, 51980, 51518, 70588, 50906, 59747, 50956, 50859, 76362, 64613, 51100, 63735, 78594, 54456, 57154, 62674, 50830, 67944, 50956, 50830, 66866, 52632, 51111, 57986, 73485, 58509, 50879, 72513, 50893, 51532, 54150, 54456, 54265, 77993, 53269, 52632, 51100, 51976, 62674, 69304, 71304, 50840, 51572, 76065, 76251, 50906, 58937, 54456, 50845, 52506, 50800, 56139, 51328, 50956, 50808, 75857, 52632, 51158, 57986, 50882, 51687, 51242, 51231, 51121, 51414, 51121, 51980, 73658, 50858, 62942, 50861, 50880, 51647, 75635, 50899, 52382, 50456, 54456, 53021, 57722, 52382, 50906, 53380, 76362, 70277, 51100, 63735, 51410, 51103, 51303, 51103, 51414, 51103, 78594, 56907, 52808, 50800, 51510, 54149, 52687, 51100, 57986, 71646, 54150, 56907, 70311, 51556, 53269, 52687, 51177, 63735, 51414, 54249, 51572, 54478, 56907, 69829, 50800, 51457, 51359, 75857, 52687, 51177, 57986, 50882, 51825, 51945, 51647, 54622, 56907, 72705, 50800, 52932, 51518, 76362, 70277, 51100, 51976, 72343, 53504, 51553, 53066, 56907, 69596, 51553, 52654, 52687, 51111, 51976, 67221, 52765, 51224, 52658, 56907, 60282, 51224, 52729, 52687, 76010, 56055, 55701, 50441, 51289, 53103, 56907, 50845, 52303, 51328, 50447, 51289, 52843, 52687, 51158, 57986, 51594, 50812, 51414, 51242, 51457, 51121, 51825, 51121, 52932, 54509, 56907, 56751, 54984, 50800, 70963, 76010, 55456, 50800, 51476, 51047, 51687, 51047, 51231, 51047, 78594, 58625, 52808, 60721, 51001, 50962, 66866, 52713, 51100, 57986, 68315, 51001, 71646, 54150, 58625, 51370, 57659, 51001, 50890, 51556, 53269, 52713, 51177, 51976, 55900, 51001, 50894, 51572, 54478, 58625, 69829, 50800, 51476, 50833, 51687, 50833, 51231, 64681, 51001, 51014, 75857, 52713, 51177, 57986, 50882, 51647, 50851, 51476, 50925, 51687, 50925, 51231, 58298, 58625, 53021, 59747, 51001, 51033, 76362, 70963, 51650, 53365, 51687, 51307, 51231, 51307, 51672, 51307, 51327, 51307, 50415, 68455, 78594, 58625 ]

[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 11926, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 8669, 6, 2342, 4467, 6, 8, 30062, 620, 7085, 12280, 642, 4, 20, 2125, 16, 278, 11, 83, 3694, 19, 10, 7212, 20889, 9, 13259, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 8, 1171, 10, 33215, 16739, 9, 211, 6, 163, 119, 6, 381, 406, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 61332, 53913, 50832, 50892, 61332, 53913, 50832, 50892, 50799, 52697, 52503, 50902, 51449, 52487, 54270, 50420, 53436, 55490, 50999, 51709, 50432, 50999, 51709, 50444, 50999, 51709, 50456, 50999, 50838, 50799, 52697, 52727, 50902, 74818, 53436, 55490, 50999, 64809, 50999, 63236, 50999, 51709, 50456, 50999, 51174, 50799, 52697, 52727, 50902, 51671, 50420, 53436, 55490, 50999, 51709, 50432, 50999, 51806, 50444, 50999, 51806, 50456, 50999, 51254, 50799, 52697, 52727, 50902, 74818, 53436, 55490, 50999, 51709, 50432, 50999, 51709, 50444, 50999, 51709, 50456, 50999, 51174, 50799, 52697, 52503, 51787, 60756, 74818, 53436, 55490, 50999, 52026, 50335, 54335, 51814, 54342, 50999, 51709, 51814, 59791, 50999, 51709, 51787, 58843, 50999, 51853, 50337, 50981, 50799, 52697, 52727, 50902, 51671, 50420, 53436, 55490, 50999, 52454, 50342, 57648, 51814, 51741, 50325, 51709, 50444, 51787, 51477, 50999, 51709, 50456, 50999, 50838, 50799, 52697, 52727, 50902, 51449, 51487, 55126, 55554, 57232, 51814, 51644, 50327, 51709, 50426, 53117, 54342, 51220, 51709, 53117, 59791, 51487, 51911, 50327, 63190, 51220, 53130, 50339, 53487, 50799, 52697, 52727, 50902, 51671, 50420, 55554, 55490, 51220, 64809, 51220, 51806, 50444, 51220, 51709, 50456, 51220, 50972, 50799, 53260, 52503, 51487, 65064, 74818, 55554, 55490, 51220, 51709, 51814, 54335, 53117, 55544, 53117, 51911, 50327, 68288, 51487, 52019, 50327, 63190, 53117, 51911, 50327, 50838, 50799, 53260, 52727, 51028, 51449, 50968, 74818, 53436, 56599, 50999, 51709, 55226, 57648, 53684, 52019, 50325, 51709, 50444, 51814, 51310, 50999, 51806, 50456, 50999, 50838, 50799, 52697, 52727, 50902, 51449, 51787, 55126, 53436, 56599, 51487, 51644, 50325, 60184, 51814, 54342, 51814, 51741, 50325, 51709, 50444, 52912, 51741, 50325, 51806, 50456, 51814, 53487, 50999, 51006, 50799, 52697, 52727, 50902, 75192, 53436, 55490, 50999, 51709, 50432, 50999, 71113, 55543, 52845, 50318, 63236, 50999, 58959, 57155, 53164, 50317, 63190, 50999, 51174, 50799, 54029, 52727, 53568, 51922, 53117, 68219, 51449, 51146, 50905, 51107, 52440, 52065, 57771, 51491, 54270, 51107, 55597, 51600, 55597, 54294, 55597, 50420, 54895, 55490, 51430, 51644, 50341, 51644, 50322, 60184, 51787, 51712, 50342, 54100, 51114, 51709, 51787, 51911, 50342, 57937, 51488, 52440, 50444, 51114, 51709, 51146, 51911, 50339, 62214, 51787, 51310, 51114, 53130, 50342, 51310, 50799, 54029, 52503, 53568, 51490, 50973, 51314, 51357, 52440, 50420, 54895, 55490, 51114, 51709, 50426, 53117, 51568, 50330, 54342, 52912, 51911, 50334, 51741, 50322, 71113, 51788, 53164, 50313, 51330, 52065, 52025, 51113, 52147, 50444, 51146, 51318, 53117, 51318, 51114, 61637, 51788, 53164, 50313, 51108, 51883, 52025, 50456, 51114, 51079, 50799, 54029, 52727, 51563, 51748, 50861, 51449, 51220, 51712, 50335, 50905, 51088, 52147, 51699, 54373, 51357, 55597, 51107, 55856, 51182, 54270, 54294, 54270, 50420, 53039, 55490, 50902, 51709, 51814, 51644, 50329, 53770, 53117, 51644, 50330, 54342, 53117, 64924, 51709, 51146, 57937, 51491, 52212, 50444, 50902, 51806, 51220, 51741, 50335, 58843, 53117, 53487, 50902, 52169, 50330, 53487, 50799, 54029, 52727, 51563, 51490, 50861, 51314, 51301, 52212, 50420, 53039, 56599, 50902, 52056, 63975, 70448, 51563, 71562, 51108, 51251, 52147, 50444, 50902, 51806, 50450, 51786, 52845, 50310, 63190, 50902, 51174, 50799, 54029, 52503, 51292, 51490, 50916, 51314, 51220, 51644, 50335, 50905, 51301, 52212, 51088, 54270, 51088, 54270, 51357, 55597, 51266, 55597, 54294, 54270, 50420, 53039, 55490, 51814, 51568, 50329, 66228, 51709, 50426, 51146, 51644, 50339, 55544, 53117, 67888, 53130, 50330, 56656, 51067, 51490, 50899, 51314, 51251, 52147, 50444, 51487, 67888, 51709, 51220, 58843, 50973, 72895, 51318, 51430, 51318, 50799, 52890, 52503, 51316, 51490, 51040, 51314, 51794, 52727, 50420, 53039, 56599, 50877, 60184, 51787, 51644, 50325, 54342, 51487, 66920, 53130, 50327, 56656, 50947, 51490, 51027, 51314, 51883, 52440, 50444, 51430, 51310, 50877, 68294, 51318, 50456, 50877, 50972, 50799, 60165, 52503, 50662, 50354, 52988, 52697, 52727, 51925, 65354, 51067, 51922, 50902, 51449, 51114, 55408, 51146, 55408, 52487, 54270, 51251, 55597, 51107, 55856, 51284, 55597, 51113, 54270, 50420, 53436, 55490, 50999, 70550, 50999, 51709, 50444, 50999, 73786, 50999, 50838, 50799, 52697, 52727, 50902, 52335, 50420, 53436, 55490, 50999, 51806, 50432, 50999, 51965, 67964, 54323, 50902, 58667, 50968, 50892, 68093, 52727, 52697, 51671, 50960, 52858, 50322, 50901, 51107, 51703, 52371, 53201, 51883, 52720, 51491, 52720, 51107, 54270, 51600, 53201, 51284, 53201, 50420, 52235, 55490, 53436, 51709, 50947, 74337, 55035, 51067, 52511, 50325, 54777, 53436, 51333, 51292, 52783, 50999, 56389, 51488, 51490, 50444, 53436, 52845, 50322, 58705, 53436, 77882, 50943, 68093, 52727, 52697, 51671, 51357, 51703, 50420, 52235, 56599, 53436, 51709, 51146, 57421, 53436, 52454, 50325, 56389, 51113, 51703, 50444, 53436, 52454, 50322, 51218, 50456, 53436, 51174, 68093, 52727, 52697, 51671, 50960, 52511, 50323, 50901, 51088, 51703, 52371, 53201, 52065, 53201, 51088, 52720, 51107, 54270, 51182, 53201, 51558, 53201, 50420, 53399, 56599, 55554, 51709, 51076, 52511, 50325, 53890, 51067, 52104, 50327, 54259, 55554, 51108, 51563, 52783, 51220, 56389, 51491, 51490, 50444, 55554, 51709, 50951, 59827, 55554, 51853, 50327, 53380, 68093, 52727, 52697, 51449, 51301, 51490, 50420, 53399, 55490, 55554, 51709, 50432, 55554, 65461, 51251, 52147, 50444, 55554, 51806, 50456, 55554, 51254, 76139, 52727, 53260, 51449, 50998, 52511, 50323, 50901, 51266, 51447, 52830, 51748, 52065, 51748, 51088, 53201, 51266, 53201, 51182, 53201, 51558, 52720, 50420, 53399, 55490, 55554, 51108, 51076, 77882, 53890, 51292, 52216, 50327, 54259, 55554, 51806, 51563, 52783, 51220, 56509, 51107, 51490, 50444, 55554, 51709, 50951, 58705, 55554, 53131, 50327, 50943, 76139, 52727, 53260, 51671, 51488, 51703, 53215, 51748, 51794, 51671, 50420, 52235, 55490, 53436, 52056, 51316, 52216, 50332, 58299, 51292, 57524, 53436, 51806, 51788, 52136, 51399, 56389, 51113, 77494, 53436, 52454, 50325, 79961, 50947, 73786, 53436, 51079, 68093, 52727, 52697, 51449, 50960, 52511, 50322, 65584, 51490, 52371, 55392, 51883, 52829, 51491, 52829, 51107, 52720, 51600, 53201, 51284, 52720, 50420, 52235, 55490, 53436, 51806, 50947, 74337, 55035, 51067, 77882, 54259, 53436, 51333, 51786, 52980, 50999, 56389, 51488, 51490, 50444, 53436, 52845, 50330, 57414, 53436, 53130, 50325, 53651, 68093, 52727, 52697, 51671, 51357, 51447, 50420, 52235, 55490, 53436, 70550, 53436, 65184, 51067, 51333, 52371, 51330, 51113, 51703, 50444, 53436, 51709, 50450, 51316, 51333, 53599, 73786, 53436, 51174, 50799, 52721, 52727, 54029, 51671, 51076, 70358, 51458, 50327, 65584, 51490, 54333, 55392, 53148, 52720, 51251, 52720, 51357, 53201, 51107, 53201, 51600, 52720, 50420, 52678, 56599, 54895, 51330, 51786, 52511, 50320, 51458, 50329, 55035, 53568, 52511, 50322, 51458, 50330, 54777, 54895, 52056, 55543, 52858, 50322, 51734, 50330, 56389, 55543, 51748, 51488, 77494, 54895, 51709, 50902, 51734, 50327, 59827, 54895, 53130, 50330, 51218, 51114, 51218, 50799, 52721, 52727, 54029, 51671, 51357, 51490, 50420, 52678, 55490, 54895, 51709, 60718 ]

[ 0, 250, 33558, 3152, 8, 3495, 2214, 4246, 2382, 3459, 8669, 6, 3459, 9590, 6, 3152, 6757, 6, 326, 5638, 18026, 6, 8, 36075, 8669, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 17407, 30, 10, 15352, 30054, 8, 20425, 16464, 6, 19, 5, 40286, 83, 8, 211, 12748, 5, 2270, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 58282, 51362, 67653, 51351, 50426, 50847, 51226, 50432, 51171, 64740, 50946, 76623, 50847, 51358, 50450, 51171, 74323, 50885, 51364, 58282, 51226, 67653, 75749, 50847, 51294, 50432, 51171, 76098, 50946, 51241, 50444, 50847, 51896, 50450, 51171, 74323, 50885, 51141, 68408, 51226, 67653, 78797, 50847, 51362, 50432, 51751, 64740, 50946, 51241, 50444, 50847, 51623, 50450, 51751, 74323, 50885, 51141, 68408, 51362, 67653, 78797, 50847, 51362, 50432, 51751, 76716, 50946, 51241, 50444, 50847, 51358, 50450, 51751, 74323, 50885, 51364, 61281, 51226, 67653, 75749, 50847, 51362, 50432, 51217, 76098, 50946, 51241, 50444, 50847, 51896, 50450, 51217, 74323, 74233, 59008, 51362, 67653, 75749, 50847, 51362, 50432, 51164, 76716, 50946, 51351, 50444, 50847, 51356, 50450, 51164, 51157, 50456, 50885, 50807, 50799, 52333, 52250, 51676, 52570, 51982, 53073, 52836, 51492, 50988, 51933, 50420, 68567, 68567, 50935, 51354, 50935, 51483, 51171, 55068, 50426, 50988, 51417, 50431, 50935, 52359, 50935, 72988, 51090, 50909, 62988, 72758, 50935, 51110, 50935, 67702, 50988, 51157, 50988, 51264, 50456, 51617, 51469, 50850, 51090, 50850, 51237, 50946, 51894, 57746, 51941, 50420, 50847, 57753, 60247, 50847, 58269, 61952, 62136, 74601, 80032, 50847, 75044, 50988, 51048, 50455, 50850, 56210, 50850, 50923, 57746, 51941, 50420, 68823, 50847, 51167, 50935, 51354, 50935, 50975, 51171, 54834, 50426, 50988, 51446, 50431, 50935, 52359, 50935, 72988, 51090, 50909, 51054, 50946, 72758, 50935, 50967, 50935, 67702, 50988, 51159, 50988, 51359, 50456, 51617, 51696, 50850, 70441, 51054, 50946, 51991, 57746, 51941, 50420, 50847, 57753, 52030, 50847, 58269, 62712, 62136, 74601, 50847, 68941, 61860, 50988, 51157, 50455, 50850, 55764, 50850, 51012, 57746, 51941, 50420, 72627, 68567, 50935, 51379, 50935, 50975, 51171, 51591, 50426, 50988, 51077, 50431, 50935, 52359, 50935, 64626, 50896, 50909, 51237, 50946, 72758, 50935, 51095, 50935, 67876, 50988, 68132, 51077, 50456, 51617, 51655, 50946, 51157, 50850, 51054, 50850, 51661, 52591, 50847, 68438, 51073, 57189, 51675, 50432, 50847, 62712, 77303, 51291, 50946, 51896, 50433, 50847, 55451, 50847, 51237, 50445, 50944, 53794, 50953, 51157, 50456, 50850, 50923, 50457, 50885, 51036, 50459, 50868, 52392, 50460, 50847, 52500, 50461, 70385, 50868, 51566, 52534, 51103, 51676, 51184, 52328, 51696, 50847, 51055, 50988, 52536, 59812, 51541, 50868, 51745, 50847, 51573, 56107, 51411, 66368, 51460, 50885, 51500, 50847, 56812, 50964, 58761, 50816, 67861, 51566, 50885, 51285, 50868, 51661, 50988, 51661, 52288, 51056, 51617, 51184, 54488, 51359, 50816, 53023, 50816, 62338, 68907, 50927, 69242, 52925, 50816, 64073, 72701, 51551, 50944, 51196, 50946, 52282, 53758, 68629, 53041, 50944, 50967, 60309, 53083, 50927, 68629, 52738, 50816, 50841, 53206, 55971, 51914, 54430, 51676, 52208, 52333, 52017, 51063, 51264, 51075, 51307, 51211, 51264, 52563, 51157, 51982, 53601, 51854, 67841, 53270, 59566, 53403, 52488, 50975, 53768, 51483, 51471, 50973, 52254, 50426, 50953, 51157, 50816, 54726, 52417, 52194, 50975, 52509, 51483, 51468, 50877, 52254, 55208, 60075, 54147, 52616, 59287, 53084, 51483, 53298, 51379, 52261, 50861, 52254, 50450, 50953, 56099, 54726, 52579, 74959, 52148, 51527, 53254, 51527, 51956, 50899, 59189, 50461, 52421, 51696, 52288, 51157, 51617, 52017, 51075, 51307, 51155, 51359, 51046, 72163, 55033, 63223, 52670, 50927, 51157, 50816, 54726, 72793, 52742, 50927, 55548, 54147, 52616, 65495, 52105, 57703, 58162, 54563, 52579, 65495, 51471, 50461, 51063, 51359, 51075, 51353, 51211, 51359, 52563, 51048, 52333, 51696, 51676, 52017, 51854, 70153, 54539, 67444, 52762, 50953, 69242, 54563, 52417, 52488, 50923, 53768, 50911, 51842, 50973, 52254, 55208, 55548, 54539, 53044, 51205, 50938, 52194, 51021, 52509, 51030, 51762, 50877, 51819, 50449, 53084, 56160, 60654, 53298, 56867, 54726, 61508, 64109, 51228, 50938, 52148, 51573, 53254, 51573, 51468, 50899, 56121, 52288, 51048, 51617, 52017, 52421, 51696, 51075, 51359, 51155, 51359, 51046, 67841, 55033, 63223, 52670, 50927, 51159, 53175, 56905, 53708, 52667, 51947, 51735, 51471, 53758, 60075, 54539, 52986, 65495, 52384, 50824, 56890, 51213, 58822, 54563, 52579, 69275, 79651, 51063, 51307, 51075, 51264, 51211, 51359, 52563, 51048, 51676, 52017, 52333, 51696, 51854, 67841, 55033, 59566, 61072, 52641, 50953, 69242, 54563, 52417, 52488, 50976, 53768, 50976, 51956, 50973, 56557, 55208, 60075, 55033, 58780, 52194, 50911, 52509, 57442, 72336, 51205, 50938, 51762, 50449, 53084, 51012, 53298, 68188, 56120, 50450, 50964, 56099, 54563, 61250, 52148, 51505, 50456, 66494, 53254, 51158, 51956, 50899, 56121, 52288, 51157, 52421, 51696, 51617, 52208, 51075, 51307, 51155, 51307, 51046, 51307, 51211, 70153, 55033, 53227, 51866, 51483, 57451, 50927, 69242, 53708, 52667, 53084, 51286, 51471, 53758, 60075, 54539, 58616, 51866, 51388, 50444, 65495, 61054, 51345, 51762, 51086, 63806, 50450, 51019, 56099, 54563, 59617, 55613, 51362, 50900, 54830, 50455, 51866, 59727, 50927, 60075, 51750, 56834, 51829, 52379, 52534, 50938, 51676, 52017, 51953, 52017, 51063, 51941, 51143, 51518, 51386, 59962, 54539, 53227, 74100, 52384, 50911, 58139, 50964, 58162, 53708, 52925, 70587, 51468, 56107, 55548, 54147, 53044, 70587, 51866, 50803, 55091, 50950, 51762, 50916, 52722, 50450, 70587, 51866, 50950, 55091, 54698, 54726, 53268, 74100, 51866, 51066, 55091, 51603, 51046, 51417, 51075, 51446, 51211, 50943, 51020, 51055, 51083, 51496, 51956, 52288, 50865, 51982, 52017, 51617, 52208, 52421, 51696, 50798, 54539, 63222, 52698, 50894, 53254, 75025, 52254, 50420, 66482, 51529, 51111, 51268, 51388, 51842, 50425, 52698, 51030, 53254, 57327, 50927, 58162, 53708, 59483, 52384, 51054, 55613, 53177, 50304, 52254, 50432, 66482, 51075, 51413, 51046, 51417, 60273, 51089, 51016, 51083, 51496, 51468, 53758, 60075, 54539, 52986, 58773, 52058, 51483, 61054, 51167, 51529, 51221, 51268, 51388, 58140, 50820, 51086, 53265, 50450, 51213, 50865, 51083, 57438, 54563, 53268, 69275, 51118, 53834, 51539, 56172, 51914, 52570, 51676, 53501, 52333, 51761, 51063, 51191, 51075, 53002, 52563, 51048, 51595, 51274, 51401, 53073, 50798, 55164, 58888, 53203, 50798, 52762, 51271, 53834, 60741, 51063, 51091, 66962, 50983, 51829, 73830, 67777, 55164, 66999, 50829, 51450, 50835, 52129, 69418, 58560, 51063, 53380, 50450, 51443, 51264, 52333, 56769, 53175, 51500, 51595, 54454, 50798, 53396, 63930, 57900, 54359, 52058, 51285, 50799, 51931, 51368, 50917, 51368, 50938, 51039, 50891, 51482, 50808, 51482, 52450, 51471, 51482, 50938, 51482, 50865, 51361, 50870, 51368, 50924, 51368, 50948, 51570, 50820, 51482, 50809, 51482, 50809, 64181, 51482, 50795, 51482, 55260, 51931, 51368, 50948, 51368, 59465, 50964, 55998, 51916, 50908, 51482, 50795, 51482, 50795, 50460, 51083, 51894, 50461, 51020, 52069, 51020, 51945, 51083, 51894, 52288, 51036, 51676, 51183, 51617, 51307, 51982, 51353, 51185, 51894, 51023, 52069, 51023, 51945, 58140, 50820, 51265, 50936, 51265, 50936, 50415, 51185, 52069, 51039, 50891, 51482, 50809, 51482, 52329, 51471, 51482, 50936, 51482, 50936, 51361, 50891, 51265, 50936, 51265, 64104, 52421, 51148, 51762, 51482, 50858, 51482, 50858, 65947, 51482, 50936, 51482, 58111, 51866, 51235, 51471, 51265, 50923 ]

[ 0, 250, 765, 5175, 2214, 4246, 10, 13305, 6, 38668, 3038, 6, 8, 10, 17605, 9590, 6, 2351, 10, 11739, 9, 980, 219, 8, 2933, 43118, 29492, 19, 15352, 30054, 4785, 4, 8504, 11, 230, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 18872, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 230, 6, 1918, 6, 272, 401, 6, 230, 73, 534, 6, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50871, 52115, 50877, 51631, 50876, 56645, 51736, 50877, 51646, 50900, 51918, 50861, 51798, 54062, 54666, 55648, 51923, 54062, 54828, 50795, 50799, 53792, 50807, 55179, 53394, 50991, 57340, 51631, 53792, 55695, 76291, 53482, 61690, 50877, 51646, 53792, 50807, 55179, 53394, 62478, 50877, 51798, 54629, 55695, 76291, 53482, 59592, 50877, 50795, 50799, 55995, 50807, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 54629, 56036, 51646, 53792, 50807, 55179, 53394, 62478, 50877, 51798, 54629, 54666, 76291, 53482, 59592, 53792, 56036, 50795, 50799, 54062, 60339, 50795, 53482, 50991, 55902, 51631, 55833, 55695, 55648, 50795, 53508, 50991, 58319, 51646, 54629, 60339, 50795, 53482, 50991, 58365, 51798, 54531, 55695, 55648, 50795, 53508, 59592, 77916, 50799, 53792, 50918, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 50877, 51646, 55179, 53394, 62478, 50877, 51798, 53792, 54666, 76291, 53482, 59592, 54531, 56036, 50795, 50799, 54629, 55890, 50795, 53508, 61000, 50973, 51631, 54629, 56831, 79564, 53633, 61690, 50973, 51646, 54629, 60339, 50795, 53482, 50991, 58365, 51798, 54531, 54666, 55648, 50795, 53508, 59592, 55833, 54828, 50795, 50799, 54629, 50807, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 53792, 56036, 51646, 54283, 59153, 50795, 53633, 62478, 50877, 51798, 54283, 55673, 76291, 53797, 59592, 54283, 56036, 50795, 50799, 54531, 55890, 50795, 53508, 61000, 50973, 51631, 53792, 56831, 79564, 53633, 61690, 50973, 51646, 55015, 55890, 50795, 53508, 62478, 50973, 51798, 54283, 56831, 79564, 53633, 59592, 50973, 50795, 50799, 54062, 70339, 50795, 53482, 50991, 55902, 51631, 50876, 55648, 50795, 53508, 50991, 58319, 51646, 50900, 50795, 53482, 50991, 58365, 51798, 54062, 54666, 55648, 50795, 53508, 59592, 54062, 54828, 50795, 50799, 54531, 60339, 50795, 53482, 50991, 55902, 51631, 54531, 55695, 55648, 50795, 53508, 50991, 58319, 51646, 54531, 60339, 50795, 53482, 50991, 58365, 51798, 54629, 55695, 55648, 50795, 53508, 59592, 77916, 50799, 54531, 60339, 50795, 53482, 50991, 55902, 51631, 50876, 55648, 50795, 53508, 61690, 55015, 54828, 51646, 54062, 60339, 50795, 53482, 50991, 58365, 51798, 54062, 54666, 55648, 50795, 53508, 59592, 54062, 54828, 50795, 50799, 54629, 50807, 55179, 53394, 50991, 57340, 51631, 54629, 55695, 76291, 53482, 61690, 50877, 51646, 54629, 50807, 55179, 53394, 62478, 50877, 51798, 54531, 54666, 76291, 53482, 59592, 55833, 56036, 50795, 50799, 54629, 50918, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 50877, 51646, 55179, 53394, 62478, 50877, 51798, 54629, 54666, 76291, 53482, 59592, 55833, 56036, 50795, 50799, 55995, 65757, 50795, 53900, 50991, 55961, 51631, 55833, 56793, 55673, 50795, 53394, 50991, 58783, 51646, 54283, 55890, 50795, 53508, 62478, 50906, 51798, 55015, 56831, 79564, 53633, 59592, 50906, 50795, 50799, 54531, 60339, 50795, 53482, 50991, 55902, 51631, 50876, 55648, 50795, 53508, 61690, 53792, 54828, 51646, 54062, 50807, 55179, 53394, 62478, 50877, 51798, 53792, 54666, 76291, 53482, 59592, 54629, 56036, 50795, 50799, 55995, 50807, 55179, 53394, 50991, 57340, 51631, 55833, 54666, 76291, 53482, 61690, 55833, 56036, 51646, 54629, 60339, 50795, 53482, 50991, 58365, 51798, 54531, 55695, 55648, 50795, 53633, 51923, 77916, 54330, 50795, 50799, 53792, 50918, 55179, 53394, 50991, 57340, 51631, 50876, 76291, 53482, 61690, 50877, 51646, 50871, 63831, 75377, 50931, 50918, 53394, 50807, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 15352, 30054, 3152, 8, 3495, 2214, 4246, 21979, 8669, 6, 3459, 8, 21979, 9590, 6, 38668, 9590, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 9, 21436, 13410, 228, 2289, 6, 7630, 14805, 10, 1372, 8, 33558, 6711, 1328, 63, 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 ]

[ 58402, 51598, 51243, 52004, 51283, 67749, 51283, 51076, 79309, 51390, 52718, 51590, 51080, 57034, 51080, 50799, 50639, 51507, 51243, 53076, 51283, 67749, 51283, 50947, 79309, 51390, 52718, 51229, 51080, 69765, 51080, 50799, 50639, 51507, 50932, 51924, 51801, 50683, 50317, 51801, 50947, 51801, 50798, 52630, 51875, 66377, 54948, 60103, 52676, 51785, 53656, 52267, 51785, 53656, 52568, 51875, 66377, 54948, 60103, 50817, 50799, 50639, 51785, 56203, 52630, 51875, 66377, 54948, 60103, 52676, 51785, 53656, 52267, 51785, 53656, 52568, 51875, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 51801, 52246, 51801, 50798, 52630, 65905, 59710, 50838, 51317, 50838, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 51283, 59710, 51283, 51317, 51283, 50688, 50317, 55116, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 50798, 52630, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 51243, 52042, 63854, 52630, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 50932, 51450, 52267, 65698, 53656, 52568, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 51243, 52383, 63854, 52302, 65905, 50688, 50316, 52688, 51209, 50838, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 51283, 51450, 50817, 52129, 52568, 51229, 50932, 69765, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 51801, 52246, 51801, 50798, 52630, 65905, 59710, 50838, 51317, 50838, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 51283, 59710, 51283, 51317, 51283, 50688, 50317, 55116, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 50798, 52630, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 51243, 52042, 63854, 52630, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 50932, 51450, 52267, 65698, 53656, 52568, 51209, 50838, 59710, 50838, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 51243, 52383, 63854, 52302, 65905, 50688, 50316, 52688, 51209, 50838, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 51283, 51450, 50817, 52129, 52568, 51229, 50932, 69765, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 50932, 52246, 56203, 52630, 51875, 50932, 65905, 59710, 50838, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 50932, 59710, 50932, 50688, 50317, 54498, 51875, 50932, 52246, 56203, 52267, 50688, 50308, 53656, 52568, 51875, 50932, 52246, 50932, 50688, 50313, 59355, 54948, 60103, 52193, 50688, 50317, 50838, 50799, 50639, 51875, 50932, 51934, 50932, 52246, 50932, 50688, 50320, 56203, 52630, 51875, 50932, 65905, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51366, 51283, 50688, 50313, 64025, 51875, 50932, 52246, 50932, 55094, 52129, 52568, 51875, 50932, 51917, 50932, 52246, 50932, 50688, 50308, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 50932, 52042, 56203, 52630, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 54498, 52241, 50932, 52042, 56203, 52267, 65698, 53656, 52568, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 50932, 52383, 56203, 52302, 65905, 50688, 50316, 52688, 52607, 50932, 51209, 50838, 52383, 50932, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 64025, 52607, 50932, 52383, 50932, 55094, 52129, 52568, 52607, 50932, 51229, 50932, 69765, 50932, 52383, 66377, 54948, 60103, 50817, 50799, 50639, 51875, 50932, 52246, 56203, 52630, 51875, 50932, 65905, 59710, 50838, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 50932, 59710, 50932, 50688, 50317, 54498, 51875, 50932, 52246, 56203, 52267, 50688, 50308, 53656, 52568, 51875, 50932, 52246, 50932, 50688, 50313, 59355, 54948, 60103, 52193, 50688, 50317, 50838, 50799, 50639, 51875, 50932, 51934, 50932, 52246, 50932, 50688, 50320, 56203, 52630, 51875, 50932, 65905, 52246, 50932, 50688, 50317, 59355, 54948, 60103, 52265, 51366, 51283, 50688, 50313, 64025, 51875, 50932, 52246, 50932, 55094, 52129, 52568, 51875, 50932, 51917, 50932, 52246, 50932, 50688, 50308, 66377, 54948, 60103, 50817, 50799, 50639, 52241, 50932, 52042, 56203, 52630, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52265, 51209, 51283, 59710, 51283, 65698, 54498, 52241, 50932, 52042, 56203, 52267, 65698, 53656, 52568, 52241, 50932, 51209, 50838, 59710, 50838, 52042, 50932, 65698, 59355, 54948, 60103, 52193, 51229, 50932, 69765, 50932, 65698, 50932, 50799, 50639, 52607, 50932, 52383, 56203, 52302, 65905, 50688, 50316, 52688, 52607, 50932, 51209, 50838, 52383, 50932, 50688, 50315, 59355, 54948, 60103, 52265, 51547, 51283, 50688, 50313, 64025, 52607, 50932, 52383, 50932, 55094, 52129, 52568, 52607, 50932, 51229, 50932, 69765, 50932, 52383, 66377, 54948, 60103, 50817, 50799, 50639, 51598, 51080, 52020, 61619, 52630, 51590, 50838, 57034, 50838, 65698, 59355, 54948, 60103, 52265, 51590, 50932, 57034, 50932, 65698, 54498, 51598, 51080, 52020, 61619, 52267, 51590, 50838, 65698, 53656, 52568, 51590, 50838, 65698, 59355, 54948, 60103, 52193, 51590, 50932, 65698, 50932, 50799, 50639, 51632, 51080, 51874, 61619, 52302, 65905, 50688, 50316, 52688, 51209, 50838, 50688, 50315, 59355, 54948, 60103, 52265, 51256, 51283, 50688, 50313, 64025, 51632, 51080, 51874, 51080, 55094, 52129, 52568, 51209, 50932, 50688, 50315, 66377, 54948, 60103, 50817, 50799, 50639, 51860, 51080, 51209, 51080, 53691, 51080, 52429, 51080, 50688, 50316, 65542, 53578, 50688, 50316, 50838, 51768, 54948, 60103, 54396, 50688, 50316, 79410, 51860, 51080, 51209, 51080, 53691, 51080, 52429, 51080, 50688, 50316, 51172, 55094, 52129, 53851, 50688, 50315, 50838, 51955, 54948, 60103, 54085, 50688, 50313, 51172, 50799, 50639, 52343, 51080, 51451, 51243, 52490, 51080, 78636, 51243, 55094, 51768, 54948, 60103, 52676, 52343, 51080, 52490, 51080, 55094, 52129, 50817, 51955, 54948, 60103, 50817, 50799, 50639, 51507, 50932, 51209, 51172, 55616, 51172, 50688, 50315, 51172, 50423, 51209, 50838, 55616, 50838, 50688, 50315, 52688, 51507, 70342, 51209, 51172, 55616, 51172, 50688, 50315, 79410, 51507, 50932, 51209, 51172, 55616, 51172, 50688, 50315, 51172, 50447, 65905, 59710, 50838, 50688, 50316, 52985, 51507, 70256, 51408, 51172, 56510, 51172, 50688, 50317, 51172, 50799, 50639, 51507, 50932, 51590, 51243, 69765, 51243, 65698, 74743, 51507, 54498, 51507, 54980, 51507, 50932, 50799, 50639, 51875, 51801, 52246, 51801, 50798, 52630, 65905, 59710, 50838, 51317, 50838, 50688, 50317, 59355, 54948, 60103, 52265, 51229, 51283, 59710, 51283, 51317, 51283, 50688, 50317, 55116, 51450, 50817, 52129, 52568, 51229, 50932, 59710, 50932, 51317, 66377, 54948, 60103 ]

[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 42, 15229, 16, 17407, 30, 63, 2635, 6, 38467, 20889, 8, 63, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 24, 1575, 10, 6755, 12547, 6, 9590, 3863, 6, 1515, 21305, 6, 17035, 873, 2401, 6, 8, 2352, 6757, 6, 2351, 10, 4066, 6, 30062, 620, 7085, 2369, 4, 20, 6711, 16, 4814, 3722, 8, 9066, 6, 7630, 14805, 10, 1472, 9, 4149, 8, 9884, 4, 20, 33215, 16739, 9, 211, 119, 6, 272, 119, 6, 272, 37152, 6, 211, 119, 6, 8, 83, 3639, 7, 5, 25306, 619, 9, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50619, 55527, 53066, 51638, 50808, 51088, 52450, 53060, 51047, 55478, 52658, 51251, 50808, 51088, 52599, 56847, 53103, 76809, 51088, 52741, 55455, 51109, 54713, 52863, 51426, 50808, 51491, 50808, 50799, 53060, 50915, 55478, 53066, 51251, 50808, 70502, 51107, 52450, 52601, 51047, 54668, 51109, 66168, 52658, 51251, 50808, 51113, 79923, 52599, 55705, 51397, 55527, 53103, 51251, 50808, 51165, 79923, 52741, 53916, 51109, 55527, 52863, 79421, 51165, 50808, 51488, 50938, 50799, 52601, 50915, 54668, 51422, 55840, 55085, 51154, 50938, 51113, 50938, 51107, 56412, 54012, 51109, 67312, 53961, 51088, 50938, 51113, 50938, 51266, 57581, 53151, 51109, 58942, 55040, 51154, 50938, 51113, 50938, 51201, 57415, 53343, 50866, 53883, 51397, 59766, 51109, 55527, 54752, 52601, 50866, 51088, 50938, 51357, 50938, 51201, 50938, 50799, 53343, 51109, 56848, 51109, 60244, 55085, 51088, 50938, 51093, 50938, 51395, 56412, 52601, 50866, 57570, 51109, 53013, 51047, 55705, 50866, 58942, 53961, 51836, 50866, 54668, 50866, 51251, 50938, 51491, 50938, 51113, 57581, 52601, 51109, 53883, 51109, 55705, 51109, 55478, 55040, 51251, 50938, 51088, 50938, 51107, 57415, 54012, 51109, 56065, 51109, 55465, 51109, 54670, 50845, 56847, 54752, 54668, 50915, 51301, 50938, 51113, 50938, 51488, 50938, 50799, 53151, 50866, 58047, 51397, 53013, 50915, 55527, 55085, 54012, 50810, 53060, 50810, 51165, 50938, 51107, 50938, 51201, 67078, 52601, 50810, 53157, 52654, 51836, 51397, 54670, 51109, 53060, 51109, 54713, 53961, 51165, 50938, 51093, 50938, 51266, 57581, 56065, 51109, 53157, 51397, 54668, 51452, 55840, 55040, 51113, 50938, 51093, 50938, 51201, 57415, 52601, 50845, 53151, 51047, 58942, 54752, 51836, 50866, 51107, 50938, 51201, 50938, 51284, 50938, 50799, 52032, 51397, 53013, 51109, 55527, 55085, 51165, 50938, 51201, 50938, 51182, 56412, 53343, 50845, 53445, 51109, 53060, 51134, 55527, 53961, 52601, 50845, 51165, 50938, 51107, 50938, 51182, 57581, 52196, 51109, 53916, 50845, 54536, 51397, 56847, 55040, 52601, 50915, 53157, 50866, 51113, 50938, 51107, 50938, 51201, 57415, 51946, 51109, 54670, 51109, 56847, 54752, 53916, 50866, 51088, 50938, 51488, 50938, 51266, 50938, 50799, 51996, 51109, 52601, 51109, 53013, 51109, 53013, 51109, 55120, 55085, 51154, 50938, 51107, 50938, 51107, 56412, 51947, 51157, 52698, 51157, 53397, 51157, 54713, 53961, 51093, 50936, 51600, 50936, 51284, 50936, 51811, 57626, 52339, 51157, 51866, 51157, 52488, 51157, 55478, 55040, 51165, 50936, 51182, 50936, 51394, 50936, 51384, 58111, 53689, 50938, 51485, 50938, 52351, 50806, 53093, 51157, 52698, 51157, 52194, 51157, 56847, 54752, 53689, 50938, 51485, 50938, 52351, 50806, 51113, 50936, 51107, 50936, 51304, 50936, 52405, 50936, 75315, 51157, 51485, 51157, 52820, 50896, 51088, 50936, 53266, 51157, 51866, 51157, 52178, 51157, 55527, 65314, 51926, 50806, 51926, 54901, 51182, 50821, 51182, 52422, 53445, 51446, 51088, 50936, 55699, 51226, 53155, 50938, 55527, 50938, 56487, 52407, 50429, 51182, 50806, 51182, 55246, 51088, 74567, 52877, 51088, 50936, 53155, 50938, 55527, 50938, 50441, 51395, 50806, 51395, 52692, 55699, 71097, 51426, 50821, 51426, 53153, 58030, 50889, 53013, 51446, 51491, 50936, 59440, 50936, 52123, 51226, 57478, 50938, 66168, 50938, 64655, 51470, 55546, 52407, 50453, 51284, 50806, 51284, 52931, 59440, 68237, 51113, 72577, 50821, 50799, 53445, 51157, 51088, 50936, 55699, 50896, 53155, 50938, 55527, 50938, 56487, 51470, 50417, 51394, 50806, 51394, 52774, 52123, 67808, 72159, 51165, 52422, 51946, 51446, 54536, 51157, 55465, 51157, 51113, 50936, 53444, 50936, 54445, 51055, 51555, 51226, 53941, 50938, 56847, 50938, 57862, 51166, 58258, 51466, 54602, 52407, 50429, 51266, 50806, 51266, 52309, 53444, 69200, 51301, 50821, 51301, 52877, 53453, 51157, 53013, 51157, 51165, 50936, 54099, 51055, 52123, 50896, 54296, 50938, 55478, 50938, 57281, 51166, 55546, 51466, 50441, 51107, 50806, 51107, 52692, 51555, 71097, 51251, 50821, 51251, 53153, 53780, 51157, 52601, 51446, 54536, 51157, 52915, 51157, 51113, 50936, 52089, 50936, 54445, 51055, 52679, 50896, 51612, 51226, 53941, 50938, 56847, 50938, 57862, 51470, 50453, 51304, 50806, 51304, 52931, 52089, 68237, 51093, 68896, 50821, 50799, 51946, 50938, 53445, 51157, 53453, 51157, 51088, 50936, 51555, 50806, 55699, 51055, 54099, 51055, 53155, 50938, 55527, 50938, 56487, 51470, 50417, 51394, 50806, 51394, 52774, 51996, 50938, 51783, 50936, 51612, 67808, 72159, 51165, 52422, 53064, 50938, 53916, 51157, 54536, 51157, 53060, 51157, 51113, 50936, 52170, 50936, 52041, 50806, 54445, 51055, 51555, 51055, 53941, 50938, 56847, 50938, 57862, 51470, 50429, 51182, 50806, 51182, 52309, 52196, 50938, 51584, 50936, 52170, 69200, 51088, 74567, 52877, 52665, 51157, 52601, 51157, 53453, 50938, 53157, 51157, 51165, 50936, 54099, 50806, 52123, 51055, 51783, 51055, 51612, 50896, 54296, 50938, 55478, 50938, 57281, 51470, 50441, 51201, 50806, 51201, 52692, 54536, 50938, 51113, 50936, 54445, 50936, 53941, 50938, 56847, 50938, 57862, 51470, 50447, 51154, 50821, 51154, 53153, 52032, 51157, 54012, 51157, 53445, 50938, 53060, 51157, 51088, 50936, 55699, 50806, 51555, 51055, 51722, 51055, 52075, 51055, 53155, 50938, 55527, 50938, 56487, 51470, 50453, 51394, 50806, 51394, 52931, 52915, 50938, 51093, 50936, 52679, 50936, 53011, 50938, 54713, 50938, 54977, 51470, 50459, 72159, 72159, 50799, 52196, 51157, 53151, 51157, 53712, 51157, 54668, 50938, 51154, 51055, 75761, 57330, 51055, 51584, 51055, 52037, 51055, 53448, 51157, 55840, 51157, 56301, 51738, 50417, 51284, 50806, 51284, 52774, 53013, 50938, 52123, 67808, 51113, 72577, 52422, 53339, 51157, 53343, 50938, 53445, 51157, 53060, 50938, 51088, 51055, 52184, 50936, 51555, 50806, 55699, 51055, 51902, 51055, 53155, 51157, 55527, 51157, 56487, 51738, 50429, 51558, 50806, 51558, 52309, 52601, 50938, 53157, 50938, 51783, 50936, 51612, 69200, 51357, 50821, 51357, 52877, 51836, 50938, 53343, 51157, 52915, 51157, 53699, 51204, 51299, 51055, 51567, 50806, 52679, 51055, 52184, 51055, 52623, 51226, 53398, 51157, 60244, 51157, 58496, 51738, 50441, 51304, 50806, 51304, 52692, 52032, 50938, 51722, 55967, 51093, 68896, 53153, 52196, 51204, 52601, 50938, 53712, 51157, 51154, 51055, 51612, 50806, 57330, 51055, 51584, 51226, 53448, 51157, 55840, 51157, 56301, 51738, 50453, 51811, 50806, 51811, 52931, 51836, 50938, 53157, 50808, 51783, 50821, 51567, 68237, 53699, 50808, 51395, 50821, 51395, 50821, 52623, 50821, 50799, 52601, 51157, 53453, 51157, 53013, 51157, 51165, 51055, 54099, 50936, 51612, 50936, 52123, 51167, 54296, 51157, 55478, 51157, 57281, 51738, 50417, 51384, 50806, 51384, 52774, 51946, 50808, 51555, 50821, 51612, 50821, 54099, 67808, 53780, 50808, 76614, 76614, 52123, 50821, 52089, 50821, 51612, 52422, 51946, 50938, 53883, 51446, 53699, 50938, 55705, 51157, 51395, 50936, 52623, 50936, 51555, 50936, 51722, 50936, 52290, 51226, 55724, 50938, 56815, 50938, 56445, 51470, 50429, 51926, 50806, 51926, 52309, 52601, 50938, 53013, 50938, 51107, 50936, 52123, 50936, 51722, 50936, 51612, 50936, 53827, 50938, 55120, 50938, 55546, 51470, 50435, 51182, 50821, 51182, 52877, 53343, 51157, 52915, 50938, 54668, 51446, 51093, 50936, 52679, 50936, 51584, 51055, 52184, 50896, 53011, 50938 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 4246, 10, 13602, 6757, 6, 13305, 6, 38668, 11212, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 27841, 139, 20889, 4, 20, 33301, 7630, 6568, 10, 1472, 9, 36474, 13005, 8, 16, 20455, 9, 1619, 8, 822, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 67004, 51966, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 55561, 51097, 53205, 51097, 52892, 51097, 53281, 51097, 51476, 50807, 71217, 74460, 51818, 52910, 51966, 52794, 50433, 57457, 51328, 53205, 51328, 52690, 51060, 51231, 67174, 51966, 52794, 50439, 67281, 51097, 57537, 51097, 55349, 50807, 51719, 52728, 51966, 52794, 62368, 52462, 56148, 51671, 55646, 51671, 54251, 51671, 56154, 51671, 51207, 51293, 50415, 57457, 51244, 53281, 51244, 52690, 50918, 51818, 55834, 51966, 52794, 50427, 53205, 51097, 54921, 51097, 71217, 51672, 52424, 51966, 52794, 50439, 54476, 51244, 53952, 51244, 52451, 51244, 51410, 50918, 51303, 50918, 51457, 56811, 51966, 52794, 50451, 53205, 51097, 54921, 51097, 71217, 51672, 50807, 62368, 52462, 59648, 51447, 54491, 51447, 55409, 51447, 56154, 51447, 51725, 51145, 50415, 55561, 51097, 54676, 51097, 53205, 51097, 52892, 51097, 51476, 50807, 51465, 50807, 71217, 51327, 52910, 51966, 52794, 50433, 52892, 51328, 51327, 67174, 51966, 52794, 57337, 51447, 54707, 51447, 54491, 51447, 55443, 51447, 51504, 51145, 50439, 55561, 51097, 54476, 51097, 53952, 51097, 53256, 51097, 52892, 51097, 51476, 79364, 70977, 72106, 51327, 52728, 51966, 52794, 50451, 55561, 51097, 54476, 51097, 53952, 51097, 53256, 51097, 52892, 51097, 51476, 79364, 70977, 72106, 74460, 62368, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 55561, 51097, 54676, 51097, 53205, 51097, 52892, 51097, 51476, 50807, 51465, 50807, 71217, 51327, 52910, 51966, 52794, 50427, 53205, 51097, 51231, 52424, 51966, 52794, 50439, 53256, 51097, 51249, 52728, 51966, 52794, 50451, 54921, 51097, 51672, 50807, 62368, 52462, 59648, 52829, 54491, 52829, 55409, 52829, 56154, 52829, 51725, 52121, 50415, 55561, 51097, 54676, 51097, 53205, 51477, 52892, 51477, 51476, 50807, 51465, 50807, 51231, 50983, 51327, 59492, 51966, 52794, 50433, 52892, 51328, 51327, 67174, 51966, 52794, 50439, 57457, 51097, 53205, 51097, 52892, 51097, 52690, 50807, 71217, 51327, 52728, 51966, 52794, 50451, 53205, 51097, 52892, 51097, 71217, 74460, 62368, 52462, 50415, 55561, 51097, 54676, 51097, 53205, 51097, 52892, 51097, 51476, 50807, 51465, 50807, 71217, 51327, 52910, 51966, 52794, 50427, 54921, 51097, 51672, 52424, 51966, 52794, 50439, 57457, 51097, 53205, 51097, 52892, 51097, 52690, 50807, 71217, 51327, 52728, 51966, 52794, 50451, 52451, 51097, 51457, 50807, 62368, 52462, 59648, 52829, 54491, 52829, 55409, 52829, 56154, 52829, 51725, 52121, 50415, 55561, 51097, 54676, 51097, 52892, 50974, 53281, 50974, 51476, 50807, 51465, 50807, 51327, 50795, 51818, 60751, 53281, 51328, 51818, 64002, 51966, 52794, 50427, 52892, 51244, 53281, 51244, 51327, 50918, 51818, 56039, 51966, 52794, 50439, 57457, 51097, 52690, 52728, 51966, 52794, 50451, 52892, 51097, 53281, 51097, 74460, 51818, 50807, 62368, 52462, 50415, 55561, 51097, 52892, 51939, 53281, 51939, 51476, 50807, 51327, 51161, 51818, 57944, 51966, 52794, 50427, 55654, 51097, 52571, 52424, 51966, 52794, 50439, 59410, 51097, 52326, 52728, 51966, 52794, 50451, 57457, 51097, 52451, 51097, 52592, 51097, 52690, 50807, 51457, 50807, 51825, 50807, 62368, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 55561, 51244, 53281, 51477, 52796, 51477, 51476, 50918, 51818, 50983, 51981, 59492, 51966, 52794, 50433, 52796, 51328, 51981, 67174, 51966, 52794, 50439, 57457, 51244, 53281, 51097, 52796, 51097, 52690, 50918, 51818, 50807, 51981, 52728, 51966, 52794, 50451, 53281, 51097, 52796, 51097, 51818, 50807, 51981, 50807, 62368, 52462, 59648, 51447, 54491, 51447, 55409, 51447, 56154, 51447, 51725, 51145, 50415, 55561, 51244, 53281, 51477, 52796, 51477, 51476, 50918, 51818, 50983, 51981, 59492, 51966, 52794, 50433, 53281, 51328, 51818, 67174, 51966, 52794, 58851, 51447, 54707, 51447, 54491, 51447, 58328, 51447, 51725, 51145, 50439, 54676, 51097, 53205, 51097, 52892, 51097, 51465, 50807, 71217, 51327, 52728, 51966, 52794, 50451, 56676, 51097, 57537, 51097, 53256, 51097, 51687, 50807, 51719, 50807, 72106, 62368, 52462, 56148, 52829, 55646, 52829, 54251, 52829, 56154, 52829, 51207, 52121, 50415, 54476, 51097, 53952, 51097, 54921, 54143, 51410, 70977, 51672, 52382, 50426, 51966, 52794, 50427, 55654, 51097, 52571, 52424, 51966, 52794, 50439, 54476, 51097, 51410, 52728, 51966, 52794, 50451, 55654, 51097, 52571, 50807, 62368, 52462, 50415, 57457, 50974, 52690, 51631, 51966, 52794, 50427, 54921, 51097, 51672, 52424, 51966, 52794, 50439, 53799, 51097, 51414, 52728, 51966, 52794, 62368, 52462, 58784, 51671, 54707, 51671, 54491, 51671, 55443, 51671, 51504, 51293, 50415, 57533, 51445, 55561, 51445, 53256, 51477, 52892, 51477, 53075, 51036, 51476, 51036, 51249, 50983, 51327, 59492, 51966, 52794, 50433, 52892, 51328, 51327, 67174, 51966, 52794, 50439, 54921, 51097, 51672, 52728, 51966, 52794, 50451, 52892, 51097, 52892, 51097, 74460, 74460, 62368, 52462, 58784, 51671, 56131, 51671, 56765, 51671, 56348, 51671, 58999, 51293, 50415, 60587, 51097, 53603, 51939, 54872, 50807, 51980, 57944, 51966, 52794, 50427, 55561, 51097, 55463, 51244, 52892, 51244, 51476, 50807, 51651, 50918, 51327, 56039, 51966, 52794, 50439, 56676, 51097, 51687, 52728, 51966, 52794, 50451, 57537, 54143, 51719, 52382, 62368, 52462, 59648, 51671, 54491, 51671, 55409, 51671, 56154, 51671, 51725, 51293, 50415, 52892, 51477, 53281, 51477, 51327, 50983, 51818, 59492, 51966, 52794, 50433, 53281, 51328, 51818, 67174, 51966, 52794, 50439, 53603, 51097, 51980, 52728, 51966, 52794, 50451, 53281, 51097, 51818, 50807, 62368, 52462, 58784, 51671, 56131, 51671, 54707, 51671, 54251, 51671, 51444, 51293, 50415, 54476, 51097, 52892, 51939, 53815, 51939, 51410, 50807, 51327, 51161, 52948, 57944, 51966, 52794, 50427, 57537, 51097, 51719, 52424, 51966, 52794, 50439, 53256, 51244, 51249, 56811, 51966, 52794, 50451, 52892, 51097, 53815, 51097, 74460, 52948, 50807, 62368, 52462, 56148, 52829, 55646, 52829, 54251, 52829, 56154, 52829, 51207, 52121, 50415, 54921, 51097, 52592, 51097, 51672, 50807, 51825, 52910, 51966, 52794, 50427, 53205, 51097, 52796, 51097, 71217, 51981, 52424, 51966, 52794, 50439, 53205, 51097, 51231, 52728, 51966, 52794, 62368, 52462, 50415, 54921, 51097, 52592, 51097, 52796, 51097, 51672, 50807, 51825, 50807, 51981, 52910, 51966, 52794, 50427, 53205, 51097, 51231, 52424, 51966, 52794, 50439, 53205, 51097, 51231, 52728, 51966, 52794, 50451, 53815, 51097, 52948, 50807, 62368, 52462, 56148, 51447, 55646, 51447, 54251, 51447, 56154, 51447, 51207, 51145, 50415, 57457, 51244, 54476, 51244, 53952, 51244, 52892, 51244, 52796, 51097, 52690, 50918, 51410, 50918, 51303, 50918, 51327, 50918, 51981, 52910, 51966, 52794, 50427, 53815, 51097, 52948, 52424, 51966, 52794, 59648, 51447, 54677, 51447, 56699, 51447, 56154, 51447, 51207, 51145, 50439, 57457, 51244, 59088, 51244, 54676, 51244, 54676, 51244, 53799, 51244, 52796, 51097, 52690, 50918, 52102, 50918, 51465, 50918, 51465, 50918, 51414, 50918, 51981, 52728, 51966, 52794, 50451, 53815, 51097, 52948, 50807, 62368, 52462, 56148, 51447, 55646, 51447, 54251, 51447, 56154, 51447, 51207, 51145, 50415, 57457, 51097, 54476, 51097, 53952, 51097, 54921, 51097, 52796, 51097, 52690, 79364, 70977 ]

[ 0, 250, 19448, 3495, 2214, 19, 10, 15855, 2712, 6, 4246, 10, 5540, 13305, 816, 15352, 30054, 2301, 11, 5, 762, 9, 2060, 538, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 2060, 6, 230, 10431, 6, 230, 12361, 6, 8, 2060, 119, 6, 2351, 41, 3722, 8, 8728, 5466, 14, 74, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50437, 51360, 55811, 50444, 51176, 77137, 51040, 51297, 50453, 50871, 51126, 50458, 50965, 51319, 52591, 50965, 51319, 50425, 50871, 61660, 51040, 51126, 50433, 51176, 75594, 51360, 55814, 51360, 51252, 50455, 51176, 51524, 50459, 51040, 51126, 51809, 50871, 58387, 50965, 68364, 50965, 70301, 50871, 55108, 51040, 51524, 50443, 51176, 51550, 50449, 51360, 51697, 50456, 51040, 51524, 50459, 50871, 51074, 51601, 50965, 51387, 50417, 51360, 54071, 50418, 51028, 53487, 50423, 51176, 51862, 50429, 51040, 51319, 50433, 77919, 50439, 50965, 52179, 50448, 50965, 50908, 50452, 50871, 51319, 50457, 51040, 51269, 50461, 51176, 51126, 53069, 51360, 51737, 50428, 50902, 51115, 50429, 50989, 52256, 50877, 51466, 50439, 51176, 54521, 50446, 51028, 51627, 51001, 51562, 50447, 50877, 52482, 50456, 51176, 51123, 52478, 50931, 51642, 50419, 50965, 55789, 50876, 54848, 50431, 51176, 51550, 50435, 51040, 56123, 69332, 68886, 50442, 50965, 61887, 50444, 51360, 53313, 50445, 51028, 52727, 50451, 51176, 52167, 50455, 51040, 51319, 50460, 50871, 51319, 51809, 50965, 52134, 50425, 50965, 51319, 50431, 50871, 51126, 50436, 51040, 51022, 50440, 51176, 51319, 50445, 51360, 52167, 50458, 50902, 51637, 50989, 60243, 50877, 52618, 52591, 51176, 52731, 50428, 51001, 51310, 51028, 51965, 50429, 50877, 51709, 50437, 51176, 51142, 50445, 50931, 51400, 50876, 52518, 50965, 52482, 50454, 51176, 51128, 50457, 50871, 52134, 50460, 51028, 52212, 51601, 51360, 54861, 50416, 51147, 52168, 50422, 51176, 51210, 61104, 66251, 63006, 50435, 50965, 51079, 50446, 50965, 54590, 50321, 51351, 50876, 53674, 50455, 51176, 53674, 50459, 51114, 51337, 51601, 50989, 51376, 50418, 51147, 68649, 50906, 75583, 50871, 59741, 50965, 70813, 51360, 53024, 50431, 51147, 51314, 50436, 51176, 54848, 50438, 50965, 57070, 50440, 51040, 51862, 57428, 51524, 50451, 50965, 51000, 51601, 50906, 51330, 50416, 50965, 58898, 50871, 58898, 50425, 51176, 56458, 59409, 51884, 50440, 51028, 52511, 50307, 59977, 50310, 51737, 50452, 51040, 56869, 50454, 50871, 52025, 50458, 50965, 60667, 50293, 59821, 50461, 51028, 52727, 52478, 51176, 52179, 50424, 51040, 51126, 78312, 56693, 50965, 51319, 50441, 50965, 64734, 50871, 60801, 51040, 52946, 50454, 51176, 51319, 50461, 51360, 54521, 79254, 51146, 52256, 50430, 50999, 53674, 50989, 54228, 50902, 54228, 50441, 51176, 51128, 50448, 51001, 51253, 50449, 51405, 51911, 50329, 68295, 52034, 50457, 51176, 51123, 52478, 51339, 51242, 50931, 51309, 50965, 52518, 50419, 51062, 53010, 50429, 51176, 51297, 50434, 51040, 51466, 50437, 50871, 54344, 50440, 50965, 54836, 50441, 51360, 54861, 50443, 51028, 52335, 50448, 51176, 51524, 50452, 51040, 51128, 50457, 50871, 51862, 50461, 50965, 51387, 56020, 50965, 51000, 73343, 64463, 51040, 51123, 50436, 51176, 51470, 50441, 51360, 51079, 50454, 51146, 51351, 50902, 75763, 52256, 50999, 51134, 51809, 51176, 51524, 50425, 51001, 51741, 50331, 51241, 51399, 51419, 56207, 50932, 50434, 51176, 51174, 50441, 51062, 51480, 51339, 51191, 50442, 50965, 51253, 75248, 50452, 51176, 77219, 51147, 52015, 50458, 51220, 51145, 50460, 51430, 51627, 50461, 51315, 51645, 50799, 52128, 51189, 50419, 77469, 50424, 60471, 50428, 50965, 51337, 50433, 50973, 58346, 51220, 54146, 50441, 51001, 51110, 50973, 52518, 50442, 51430, 51204, 50968, 70842, 51086, 64853, 51787, 51116, 51114, 59496, 70806, 54852, 76965, 52128, 51828, 50324, 59993, 51147, 51535, 50424, 51220, 51637, 50425, 51430, 76906, 51315, 51797, 52128, 51241, 50431, 77469, 50436, 50916, 68167, 70644, 50445, 50973, 50978, 50455, 50973, 68470, 69513, 51399, 51183, 51028, 52056, 53069, 51086, 51128, 50425, 51405, 50827, 51001, 67393, 50877, 53186, 50310, 53024, 50432, 51430, 51079, 50433, 50968, 54071, 50445, 50951, 54573, 51430, 55490, 51062, 56599, 50968, 58306, 51085, 55584, 50452, 51026, 78473, 50900, 65540, 50916, 51123, 51809, 50861, 50971, 54439, 64408, 50916, 54034, 50900, 51365, 50439, 51026, 57522, 51085, 60754, 51085, 51824, 50457, 51026, 51000, 53975, 69595, 50916, 58116, 50861, 59383, 50968, 54532, 50435, 50965, 54521, 50916, 60150, 51503, 63684, 50316, 53674, 50441, 51176, 58554, 50900, 51297, 50451, 50916, 79207, 50965, 51128, 52478, 51028, 55275, 50422, 50931, 52503, 50424, 51147, 53678, 50425, 51360, 54861, 50428, 51399, 53588, 50433, 51176, 51123, 50437, 51040, 51128, 50442, 50871, 52946, 50446, 50965, 52167, 50456, 50965, 78584, 50871, 51319, 52177, 51040, 64195, 51176, 51128, 50427, 51360, 51297, 50441, 50902, 51637, 50442, 50989, 55574, 50447, 50965, 51365, 50452, 50877, 61096, 51176, 52782, 50456, 50906, 61824, 51001, 51218, 50973, 51142, 50461, 50877, 51797, 52177, 64304, 50421, 72814, 51176, 51210, 50425, 50876, 58519, 50931, 50981, 50430, 50973, 73793, 51862, 50434, 67695, 50439, 51176, 54191, 50313, 68937, 50965, 58394, 51028, 52071, 50450, 51360, 55197, 50931, 51313, 50452, 51147, 51671, 50456, 51399, 52071, 50459, 51176, 51862, 51809, 51040, 51000, 55961, 76785, 50965, 51387, 50435, 50965, 50928, 50440, 50871, 51128, 50445, 51040, 74810, 51176, 54088, 50454, 51360, 54298, 52478, 50902, 51283, 50419, 50989, 54228, 50424, 50965, 51123, 50428, 50877, 59272, 51176, 54071, 63931, 61284, 51001, 51218, 79507, 50437, 50877, 51642, 50441, 50876, 54394, 59950, 50445, 51176, 53697, 50448, 50876, 76690, 50931, 51221, 50965, 53536, 50315, 69096, 50906, 61982, 50877, 51604, 50300, 50941, 51809, 50965, 62016, 50871, 50974, 50421, 50973, 51310, 50422, 51360, 51884, 50425, 51001, 51318, 50429, 51147, 51790, 50430, 51176, 54298, 50436, 51040, 68977, 66398, 50446, 50965, 56711, 50906, 58090, 50458, 50931, 51241, 51028, 51965, 51809, 67558, 50421, 51040, 51142, 50424, 51114, 51121, 50425, 50997, 59399, 51147, 50808, 51378, 68630, 50877, 50995, 50435, 51028, 51477, 50437, 50931, 51134, 51050, 51411, 50439, 50999, 51336, 69375, 50978, 50448, 51040, 51058, 50452, 50871, 51255, 50457, 50877, 50917, 52478, 50965, 73318, 51081, 70606, 51312, 50421, 51147, 51391, 50968, 51466, 50425, 50916, 51328, 50431, 51040, 50974, 50436, 51220, 50948, 50437, 51176, 54656, 51062, 51192, 50442, 51315, 51212, 50448, 51028, 51148, 50449, 51001, 51413, 50452, 50951, 51446, 50453, 52046, 51238, 50456, 51399, 51661, 55881, 58158, 50997, 51178, 61104, 50873, 79471, 50897, 50431, 51062, 51661, 50435, 64871, 50439, 51081, 51226, 50440, 51028, 50937, 50448, 51147, 51112, 50457, 50951, 50865, 52478, 50968, 51675, 51234, 52996, 50423, 51050, 51852, 50429, 51176, 51470, 50430, 51001, 51267, 50435, 50997, 74578, 51028, 51194, 51040, 51006, 57428, 70853, 50931, 51141, 50876, 51233, 50448, 50965, 51142, 50455, 50906, 51095, 51601, 50965, 78768, 52046, 51242, 50424, 61084, 50431, 51399, 51091, 50437, 51197, 57740, 50997, 51645, 51062, 70269, 51040, 51058, 50454, 51081, 51077, 50956, 61997, 50861, 50978, 51809, 51028, 51267, 50425, 51147, 51377, 50434, 50951, 50938, 50442, 50968, 51127, 50443, 51234, 54521, 50447, 51050, 51753, 50451, 51001, 51255, 50452, 51176, 65628, 50997, 54846, 51028, 51178, 50460, 51040, 50892, 51601, 65080, 50419, 76587, 50931, 51091, 50421, 50965, 67322, 50906, 53505, 50965, 54134, 50989, 68711, 51360, 60201, 51430, 51103, 50459, 51378, 51470, 52177, 50997, 70852, 51040, 71874, 51405, 51351 ]

[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 23, 10, 182, 1769, 20889, 11, 5, 762, 9, 274, 538, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 26545, 6, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 77629, 50968, 51346, 51027, 51991, 50871, 51991, 50876, 51991, 50424, 50931, 51346, 50434, 50999, 51346, 50444, 51062, 51346, 50455, 50968, 51346, 51430, 51346, 51176, 51991, 50871, 51991, 50973, 51991, 52177, 51146, 51346, 50427, 50931, 51346, 51339, 51346, 50438, 51146, 51346, 50448, 51081, 51346, 51026, 51991, 50916, 51991, 50906, 51991, 50458, 50902, 51346, 52591, 51001, 51346, 50430, 50968, 51346, 50441, 50876, 51346, 50999, 51346, 51085, 51991, 51026, 51991, 50916, 51991, 50451, 50973, 51346, 51147, 51346, 50461, 50906, 51346, 50951, 51346, 60212, 50877, 51623, 50931, 51623, 50434, 50871, 51346, 69375, 51346, 50454, 50997, 51346, 51809, 51086, 51346, 51081, 51346, 51146, 51346, 77095, 51346, 50999, 51346, 51062, 51346, 50437, 51085, 51346, 50876, 51346, 50447, 51026, 51346, 50951, 51346, 51081, 51346, 50457, 51378, 51346, 50931, 51991, 50999, 51991, 52591, 51050, 51346, 50430, 51120, 51346, 50440, 51360, 51446, 50450, 50968, 51446, 51147, 51446, 50460, 51085, 51623, 57731, 51062, 51141, 50442, 52206, 51538, 50461, 51430, 51141, 52128, 51141, 66243, 51339, 50805, 51814, 50805, 51247, 53912, 50999, 65756, 51062, 62530, 59428, 59460, 50889, 50451, 51405, 50805, 51787, 69495, 51430, 50805, 51487, 50805, 51279, 50889, 51601, 50951, 50889, 50421, 51040, 68368, 57631, 50889, 50427, 51399, 50805, 51430, 66900, 51146, 50805, 51339, 50805, 51120, 50889, 50440, 50931, 50889, 64118, 59428, 59460, 50889, 50452, 50999, 68968, 50805, 51339, 71295, 51085, 50889, 56020, 50956, 59428, 59460, 63455, 50999, 50805, 51399, 57807, 51081, 74563, 50805, 51234, 67480, 50902, 59414, 50931, 57260, 59428, 58419, 63433, 51081, 74563, 58565, 50999, 68968, 50805, 51279, 50889, 52478, 50876, 50805, 50424, 51114, 62530, 68036, 59460, 50889, 50430, 50999, 68968, 50805, 50436, 50951, 67689, 50805, 51214, 50889, 50442, 50906, 50889, 50448, 50997, 62525, 57631, 50889, 50454, 51028, 59879, 50805, 51147, 50805, 51399, 50805, 50460, 51503, 50889, 59412, 51086, 78382, 59428, 50889, 50437, 51279, 55480, 51147, 50805, 51220, 52596, 50999, 68968, 62530, 62930, 59428, 55069, 50876, 50805, 62856, 50805, 51220, 50805, 51966, 55385, 50999, 51608, 50328, 50889, 53523, 62930, 59460, 55112, 51147, 50805, 51220, 52446, 50999, 68968, 50805, 51214, 50889, 50445, 50876, 72065, 51147, 50805, 51220, 62530, 68368, 58419, 50889, 50457, 50999, 51608, 50328, 50889, 51601, 51085, 50889, 50421, 50876, 50889, 77095, 50889, 50430, 50876, 59979, 50902, 63116, 72370, 50440, 51050, 59428, 62931, 51538, 72785, 51141, 50931, 51141, 50452, 51315, 68368, 50889, 51809, 51120, 62525, 63455, 51085, 70156, 71700, 50871, 59460, 61471, 67480, 51324, 51077, 51086, 51077, 50447, 50871, 51141, 76233, 79728, 52478, 51085, 51077, 50997, 51077, 50916, 74114, 51077, 50876, 51077, 50442, 51339, 50805, 51814, 50805, 51247, 50889, 50448, 50999, 50805, 50454, 51062, 62530, 59428, 59460, 50889, 50460, 51405, 50805, 51787, 50805, 53069, 51430, 50805, 51487, 50805, 51279, 50889, 50425, 50951, 50889, 50431, 51040, 68368, 57631, 50889, 50437, 51399, 50805, 51430, 50805, 50443, 51146, 50805, 51339, 50805, 51120, 55082, 50931, 55069, 50899, 59428, 59460, 50889, 58479, 68968, 50805, 51339, 52864, 51085, 55112, 50956, 59428, 59460, 53912, 50999, 50805, 51399, 52815, 51081, 74563, 50805, 51234, 50889, 50451, 50902, 69495, 50931, 57260, 59428, 58419, 50889, 51601, 51081, 74563, 72626, 50999, 68968, 50805, 51279, 50889, 76946, 66900, 51114, 62530, 68036, 59460, 50889, 50440, 50999, 68968, 65052, 50951, 67689, 50805, 51214, 50889, 50452, 50906, 50889, 50458, 50997, 62525, 57631, 50889, 51809, 51028, 59879, 50805, 51147, 50805, 51399, 67379, 51503, 71700, 51086, 78382, 59428, 50889, 50447, 51279, 63433, 51147, 50805, 51220, 58565, 50999, 68968, 62530, 62930, 59428, 50889, 52478, 50876, 50805, 50424, 51147, 50805, 51220, 50805, 51966, 50889, 50430, 50999, 51608, 50328, 50889, 50436, 50900, 62930, 59460, 50889, 50442, 51147, 50805, 51220, 50805, 50448, 50999, 68968, 50805, 51214, 50889, 50454, 50876, 50805, 50460, 51147, 50805, 51220, 62530, 68368, 58419, 50889, 53069, 50999, 51608, 50328, 50889, 50425, 51085, 50889, 50431, 50876, 50889, 50437, 50900, 50889, 50440, 61496, 50443, 50902, 64201, 50968, 63771, 51050, 59428, 62931, 51538, 50456, 50871, 59879, 50805, 57551, 68368, 55385, 50871, 59879, 52483, 51197, 62930, 55112, 50871, 59879, 52446, 51120, 62525, 55480, 50871, 59879, 52596, 51085, 70156, 50889, 50457, 50871, 59879, 50805, 51601, 51234, 73090, 50889, 50421, 50871, 51141, 50931, 51141, 50427, 51279, 51077, 51027, 51077, 50446, 50931, 50805, 50452, 50931, 50805, 51339, 50805, 51234, 51608, 50297, 62525, 50889, 50458, 51081, 51608, 50330, 51608, 50333, 51608, 50336, 50889, 51809, 50997, 62525, 59428, 50889, 50422, 51339, 76575, 51247, 78599, 51608, 50328, 51608, 50331, 51608, 50335, 67480, 51050, 70156, 62930, 50889, 50447, 51146, 61157, 50931, 67689, 74563, 50805, 51339, 50805, 51234, 51608, 50297, 62525, 50889, 50459, 51146, 50805, 52177, 51081, 74563, 50805, 51339, 50805, 52128, 74492, 62525, 59428, 50889, 50424, 51081, 51608, 50326, 51608, 50329, 51608, 50335, 50889, 50430, 51234, 51608, 50297, 78382, 50889, 50436, 50951, 51608, 50326, 51608, 50329, 51608, 50333, 50889, 50442, 50997, 62525, 59428, 50889, 50448, 50951, 78599, 51608, 50328, 51608, 50333, 50889, 50454, 51247, 51608, 50292, 51608, 50301, 50889, 50460, 50951, 78599, 51608, 50328, 51608, 50333, 50889, 52478, 51027, 70156, 59428, 50889, 50425, 50999, 68968, 50805, 51339, 50805, 52128, 50805, 50431, 51085, 65934, 78599, 51608, 50328, 51608, 50333, 51608, 50335, 50889, 50443, 50900, 62931, 78599, 51608, 50328, 51608, 50333, 55069, 50999, 68968, 50805, 51339, 50805, 52128, 50805, 51247, 51608, 50292, 51608, 50301, 50889, 68818, 52864, 50951, 50805, 51487, 50805, 51214, 51608, 50295, 73090, 54243, 51001, 78599, 51608, 50328, 51608, 50333, 55112, 51279, 51608, 50297, 70156, 53912, 50931, 78599, 51608, 50328, 51608, 50331, 51608, 50333, 55480, 51247, 55082, 50931, 51608, 50326, 51608, 50330, 51608, 50333, 50889, 50457, 51234, 51608, 50297, 62525, 50889, 51601, 50951, 51608, 50326, 51608, 50330, 51608, 50333, 50889, 50421, 50997, 62525, 59428, 50889, 50427, 51147, 50805, 52128, 67502, 51085, 51608, 50301, 62930, 65934, 78599, 51608, 50328, 51608, 50331, 51608, 50335, 50889, 50446, 51050, 70156, 62930, 65934, 78599, 51608, 50328, 51608, 50331, 51608, 50333, 50889, 50458, 51147, 74563, 50805, 51339, 50805, 52128, 50805, 51799, 73090, 59428, 50889, 51809, 51114, 78599, 51608, 50328, 51608, 50333, 50889, 50422, 52206, 51608, 50300, 62930, 50889, 50428, 50931, 51608, 50327, 51608, 50330, 51608, 50335, 71700, 54637, 76195, 62525, 67480, 50931, 65934, 51608, 50327, 51608, 50332, 50889, 50447, 55774, 63433, 50968, 51204, 50951, 51204, 51081, 51204, 51062, 51204, 50459, 51085, 51077, 50997, 51077, 50916, 51077, 52591, 51062, 62779, 51146, 51116, 50433, 51430, 63116, 71216, 51120, 51077, 50997, 75427, 51077, 50440, 51430, 62236, 51146, 66372, 51062, 51116, 50458, 51430, 64333, 71216, 51315, 51141, 50900, 51141, 74367, 52177, 51430, 64997, 51146, 63790, 51062, 50805, 50431, 52206, 51608, 50326, 51608, 50332, 51608, 50335, 51608, 50340, 55480, 51081, 51608, 50332, 51608, 50336 ]

[ 0, 250, 20902, 3495, 2214, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 34879, 6, 4246, 10, 11739, 9, 25044, 139, 10170, 1499, 6, 3459, 9590, 6, 21040, 2426, 6, 6755, 12547, 6, 8, 10170, 1499, 6, 278, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 1769, 20889, 9, 16157, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58402, 51768, 56262, 50903, 51031, 51955, 55891, 52758, 50806, 52979, 50849, 50799, 53429, 50911, 55883, 52864, 52969, 50893, 53424, 50805, 50425, 51019, 54107, 56647, 50893, 51089, 50993, 53539, 50805, 51434, 51300, 51808, 51009, 52043, 51795, 51479, 53551, 52265, 53429, 80128, 50823, 55883, 61061, 52600, 52969, 50893, 51208, 50860, 53424, 50805, 51895, 51502, 52267, 64048, 54825, 50936, 51089, 50803, 52635, 59343, 52087, 52725, 58300, 53195, 50806, 51023, 50860, 54642, 50938, 51440, 54430, 52361, 51870, 51479, 63974, 52087, 53173, 52758, 50948, 51385, 50803, 53210, 50917, 56790, 50883, 53534, 51072, 55625, 50893, 51403, 50952, 52979, 50938, 57602, 52532, 53576, 55493, 50893, 51023, 50817, 53326, 50805, 52112, 50425, 50927, 54107, 54182, 50893, 51083, 50823, 54535, 50849, 51669, 51184, 53335, 51795, 59284, 54701, 52265, 54890, 50806, 51268, 50897, 54469, 55163, 52600, 63293, 50948, 51023, 50836, 54174, 50917, 55389, 53594, 55952, 54890, 50893, 72154, 54469, 54792, 52087, 52725, 51213, 51072, 54182, 50923, 51185, 50882, 54535, 50849, 51479, 63974, 52087, 53173, 63293, 50948, 51023, 50823, 52979, 50938, 56790, 50883, 53534, 51066, 52758, 50893, 51268, 50882, 55883, 55955, 51695, 52532, 53576, 63293, 50893, 51083, 50884, 52979, 50805, 63032, 51069, 50824, 55625, 50893, 51089, 50811, 53424, 50805, 52043, 52500, 52361, 52379, 51479, 53551, 52265, 55625, 62194, 50803, 53424, 55064, 53908, 55493, 50880, 52635, 53574, 54182, 50893, 51385, 51033, 54642, 50849, 55389, 53594, 51069, 50817, 55493, 50806, 51089, 51142, 52635, 54792, 52087, 54028, 51434, 51300, 50450, 51228, 50975, 55625, 51021, 51208, 51033, 53424, 50938, 51479, 63974, 52087, 53173, 63293, 50806, 51023, 50823, 52979, 50849, 56790, 50883, 53400, 51066, 53195, 80041, 50859, 53539, 54754, 51695, 52532, 53576, 63293, 50893, 51385, 50908, 52979, 50873, 73515, 51440, 51469, 51669, 51184, 53335, 51795, 50426, 62644, 52758, 51030, 51083, 50993, 55883, 50938, 51479, 53551, 52265, 53429, 50821, 51268, 50849, 55883, 52672, 53908, 52969, 50858, 53424, 52841, 54825, 50911, 51023, 50812, 52635, 50849, 55389, 53594, 51011, 50817, 52969, 51021, 51083, 50812, 53424, 58162, 52087, 52725, 78233, 53429, 50860, 51185, 50823, 55883, 50938, 51479, 63974, 52087, 53173, 52758, 50936, 65541, 52979, 50917, 56790, 50883, 55194, 50860, 53429, 50911, 51268, 50952, 55883, 52862, 51695, 52532, 53576, 62890, 52969, 50893, 51083, 50828, 53424, 50805, 63032, 51019, 51059, 56647, 50893, 51089, 50802, 53539, 50805, 51808, 52512, 52043, 54055, 51434, 52097, 51479, 53551, 52265, 53429, 50936, 51020, 50823, 55883, 61061, 52600, 52969, 50893, 51208, 50860, 53424, 50805, 55389, 53594, 62664, 54825, 50806, 51089, 50811, 52635, 54792, 52087, 52725, 51069, 50993, 53195, 50936, 65541, 54642, 50938, 51440, 51696, 52361, 52097, 51479, 63974, 52087, 53173, 52758, 50893, 51385, 50802, 53210, 50849, 56790, 50883, 53400, 50975, 55625, 50893, 51023, 50823, 52979, 50938, 57602, 52532, 53576, 55493, 50893, 51089, 50884, 53326, 50917, 63032, 62644, 54182, 50893, 51083, 51066, 54535, 50849, 51669, 51009, 53335, 52379, 51479, 53551, 52265, 54890, 50806, 51268, 51142, 54469, 55163, 52600, 63293, 50893, 51023, 50823, 54174, 50849, 51895, 51502, 52267, 51069, 50817, 54890, 50893, 51083, 50803, 54469, 58162, 52087, 52725, 73182, 54182, 50923, 51092, 50811, 54535, 50805, 51440, 51300, 51607, 51300, 51479, 63974, 52087, 53173, 60418, 53032, 50802, 51023, 50882, 53424, 50805, 56790, 50883, 54798, 50860, 55493, 50802, 51268, 51033, 52635, 52862, 51695, 52532, 53576, 70593, 54182, 70744, 50961, 52860, 50849, 63032, 51443, 51029, 54890, 51030, 51020, 50860, 53210, 50805, 51434, 51300, 51808, 51009, 51669, 51029, 51479, 53551, 52265, 55493, 50923, 51208, 50803, 52635, 55163, 52600, 53195, 50911, 51185, 50803, 53539, 50938, 55389, 53594, 68634, 54825, 51021, 51020, 50817, 54343, 58162, 52087, 56038, 51069, 51072, 52758, 50803, 51023, 52175, 55883, 50805, 51440, 52512, 52361, 51300, 52043, 59110, 51156, 64329, 52087, 53173, 53195, 50894, 51385, 50803, 53539, 51582, 52502, 56046, 52758, 50821, 55883, 50808, 54798, 50976, 55625, 50893, 51403, 50803, 53424, 54754, 51695, 52532, 53576, 72823, 54825, 50802, 51023, 50887, 54343, 50849, 73515, 51023, 57252, 63166, 54182, 50949, 51268, 51126, 51023, 51126, 51185, 51123, 52635, 50808, 51669, 50975, 53335, 50976, 51440, 51505, 58234, 56262, 70593, 51023, 50835, 51385, 50886, 51089, 50908, 52979, 50813, 54642, 50808, 53424, 50910, 51440, 50802, 52361, 50802, 52043, 50860, 51479, 51031, 50449, 76439, 51023, 50930, 51185, 54721, 63166, 52979, 50828, 52635, 50808, 55883, 50808, 51440, 50976, 51669, 50976, 53335, 50975, 57602, 50846, 59412, 51491, 52071, 51113, 51991, 51107, 51264, 50426, 62644, 51479, 53551, 58976, 51873, 57018, 52979, 56895, 56305, 51666, 50878, 52939, 51177, 52368, 54137, 52635, 50901, 55389, 65672, 51873, 79522, 64386, 53424, 63305, 52087, 56038, 51666, 53140, 51213, 50975, 55883, 53097, 50898, 63974, 52087, 59163, 51873, 50933, 51453, 52502, 59363, 51666, 50977, 52939, 51177, 52368, 50892, 53534, 50976, 57602, 52532, 63244, 51873, 50933, 51039, 62239, 51088, 51264, 51357, 51353, 51301, 51717, 50426, 51019, 51072, 51479, 53551, 58976, 52330, 52946, 50432, 53424, 53270, 53908, 53424, 50820, 53424, 58855, 51666, 50822, 51871, 50865, 54399, 68535, 53424, 50828, 53424, 50836, 51895, 51502, 58772, 52330, 53743, 51019, 52409, 52087, 52725, 79288, 51479, 63974, 52087, 59163, 52330, 51051, 51453, 52502, 59363, 54399, 51100, 51908, 50942, 51871, 50879, 58124, 51072, 53424, 50846, 53424, 53790, 51695, 52532, 63244, 52330, 55085, 52635, 50839, 52635, 50862, 52112, 50422, 51488, 51445, 54642, 54069, 53210, 50846, 53210, 50833, 54642, 66659, 51113, 55428, 50426, 51011, 51072, 52979, 50841, 52979, 53097, 50898, 53551, 58976, 51873, 59780, 50852, 56305, 51908, 50987, 52368, 51100, 57813, 73320, 55389, 65672, 51873, 64208, 51011, 52791, 52087, 52725, 52022, 50993, 51479, 63974, 52087, 59163, 51873, 50878, 51453, 52502, 59363, 51908, 50977, 52368, 51100, 57813, 50901, 68742, 50975, 57602, 52532, 63244, 51873, 50878, 51039, 60170, 51107, 51293, 50425, 51491, 52222, 50426, 62644, 61461, 50873, 53904, 50833, 55645, 51100, 51479, 53551, 58976, 51873, 53387, 54174, 50846, 54535, 50828, 52979, 54726, 56305, 51666, 50978, 52939, 51212, 52368, 51101, 51570, 67310, 58772, 51873, 54434, 50927, 52791, 52087, 56038, 51666, 71841, 51415, 51066, 61461, 50937, 53904, 50812, 55645, 51100, 51479, 63974, 52087, 55079, 54174, 74022, 51873, 59631, 52979, 50836, 54174, 50836, 54535, 51187, 52502, 59363, 52939, 51101, 51666, 50878, 52368, 50977, 53534, 50993, 57602, 52532, 63244, 51873, 77639, 62239, 51113, 52062, 51107, 53678, 51600, 51894, 50426, 50927, 51072, 51479, 53551, 58976, 51873, 72883, 52979, 55603, 56305, 51666, 50878, 52939, 51100, 52368, 53264, 54535, 67893, 50898, 65672, 51873, 63280, 60264, 52979, 53825, 52087, 52725, 51213, 50975, 54174, 51077, 51479, 63974, 52087, 59163, 51873, 50810, 51453, 52502, 59363, 51666, 50878, 52939, 51101, 52368, 51101, 53534, 50993, 57602, 52532, 63244, 51873, 79827, 60170, 51357, 51151, 51266, 52250, 50425, 51088, 51714, 50426, 71435, 51479, 53551, 58976, 52330, 60675, 53210, 52672 ]

[ 0, 250, 19448, 3495, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 1515, 21305, 6, 17691, 28430, 6, 8, 6168, 3540, 6, 2351, 10, 5679, 26709, 8, 3722, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 7212, 20889, 9, 15966, 13410, 228, 2289, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 272, 6, 230, 73, 717, 6, 8, 274, 3639, 10, 2842, 9, 8780, 1825, 7, 42, 21844, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 76501, 51836, 58722, 59781, 53339, 66228, 51884, 50799, 51836, 53487, 51214, 51445, 50900, 51965, 50876, 51592, 56947, 52916, 56014, 52212, 59419, 52598, 58365, 72499, 50876, 51353, 50456, 57846, 54795, 51313, 50900, 52519, 50871, 51449, 50877, 51671, 56947, 52528, 56014, 55586, 55898, 52407, 50444, 51946, 58127, 73324, 51836, 58000, 52961, 53339, 66228, 50910, 50799, 51836, 52919, 51214, 51748, 51026, 54590, 50308, 51244, 50861, 51803, 50876, 51939, 56947, 52431, 56014, 52980, 59419, 51080, 58365, 72044, 50876, 50932, 54795, 51748, 51026, 53164, 50304, 53577, 50871, 52727, 50877, 51748, 50876, 52916, 56947, 53866, 56014, 53486, 55898, 79882, 51946, 58127, 79961, 51836, 57586, 51923, 53339, 65872, 50917, 50799, 51836, 51267, 51214, 51671, 51026, 54590, 50308, 51677, 50861, 60559, 55382, 51946, 50959, 51026, 52916, 50861, 54259, 51946, 58657, 50914, 55203, 51490, 50444, 51836, 51218, 50876, 51141, 59758, 51709, 50799, 53151, 51267, 51214, 51748, 51026, 52519, 50871, 51965, 50877, 51477, 50876, 52015, 50931, 60324, 54012, 51277, 50968, 56427, 52601, 51734, 50299, 52980, 50871, 52783, 50877, 52783, 50902, 51097, 55203, 51703, 50444, 51836, 51318, 50876, 51218, 56279, 51380, 50799, 51946, 51293, 51214, 51449, 51026, 53164, 50304, 52136, 50899, 51447, 50916, 52431, 50861, 53588, 56947, 55776, 56014, 53486, 55898, 51244, 59758, 62214, 50861, 50974, 54795, 51748, 51026, 77508, 51965, 50871, 51748, 50877, 52980, 53389, 51449, 51743, 51449, 56947, 52528, 56014, 52783, 55898, 76619, 51946, 58399, 54230, 51836, 58000, 51923, 53339, 61622, 50865, 50799, 51836, 52644, 51214, 51671, 51026, 54590, 50308, 51318, 50861, 51318, 50876, 51310, 53817, 51445, 52033, 51445, 56947, 52916, 64185, 59783, 51115, 50876, 51148, 55203, 52147, 65827, 53280, 56222, 51738, 75152, 51470, 54795, 51748, 51026, 55036, 50304, 53280, 50871, 51922, 50877, 53486, 53389, 51449, 51743, 51449, 56947, 52916, 56014, 53486, 55898, 79882, 51946, 55332, 54230, 51836, 58000, 52961, 53339, 61622, 50938, 50799, 51836, 53487, 51214, 51671, 51026, 53126, 50308, 51283, 50861, 51310, 50876, 51477, 53817, 52988, 52033, 51748, 51615, 52720, 56947, 52916, 64185, 58339, 51218, 68275, 55203, 54557, 65827, 52441, 56222, 52378, 75152, 52916, 54795, 51922, 51026, 53164, 50304, 53280, 50871, 52727, 50877, 55586, 53389, 51748, 51743, 51748, 56947, 52528, 56014, 52168, 55898, 70190, 51946, 58399, 53794, 51836, 58681, 51923, 53339, 61418, 50805, 50799, 51836, 51109, 51315, 50851, 51026, 52519, 50916, 51310, 50861, 59937, 51318, 52133, 51671, 51711, 53201, 50426, 51946, 70978, 54259, 51946, 51807, 50296, 51452, 50900, 58657, 59258, 51452, 50444, 51836, 51189, 50900, 61087, 51141, 59758, 51109, 72407, 51006, 50799, 53151, 51807, 50289, 51151, 71578, 50876, 51803, 50931, 50915, 53389, 51671, 51743, 51801, 50426, 54012, 63663, 52916, 50968, 54777, 52601, 65117, 51965, 50902, 53912, 77920, 50444, 51836, 51115, 50876, 50983, 55895, 51806, 50799, 52601, 53454, 51234, 51243, 50900, 51447, 50899, 51680, 50871, 51592, 50906, 52062, 50902, 51243, 53181, 51801, 51838, 51801, 60643, 52528, 71288, 51452, 55203, 51145, 51711, 51244, 55989, 51295, 56415, 55069, 50906, 50849, 54662, 51790, 50997, 51314, 50899, 59428, 51218, 50906, 51218, 50902, 51218, 51863, 51080, 53337, 54342, 50899, 51141, 50871, 74726, 51896, 50902, 51358, 62335, 50995, 51656, 79098, 51234, 54230, 51279, 51159, 51027, 51312, 50899, 51267, 67104, 73750, 54795, 51991, 51026, 62649, 51127, 50861, 51310, 50973, 51310, 50902, 51274, 53541, 51677, 51615, 51592, 56947, 52980, 58319, 51141, 50973, 51077, 50902, 51196, 55898, 51079, 55989, 50995, 56222, 50892, 52133, 50995, 51656, 58843, 50899, 63925, 51218, 68275, 54795, 51627, 51026, 52263, 51881, 51151, 52187, 51445, 54569, 51097, 54439, 54342, 50899, 51675, 50861, 51675, 50973, 51591, 50902, 56389, 51026, 70190, 50968, 52610, 70893, 57551, 51293, 50861, 51477, 50876, 51318, 50902, 51310, 50951, 50983, 52133, 51243, 51615, 52204, 51711, 52720, 53502, 53280, 56248, 53577, 58319, 51295, 50876, 51675, 50902, 51591, 50951, 51685, 55203, 52212, 65827, 52519, 56222, 55765, 55547, 51671, 51027, 55036, 50304, 52519, 50871, 51447, 50861, 52168, 50876, 51452, 53389, 52829, 51743, 51671, 57025, 52916, 56014, 56329, 57019, 51447, 58365, 53794, 50877, 52961, 50876, 50938, 54868, 51313, 50871, 51127, 50877, 51675, 50931, 51585, 51743, 51445, 52036, 51449, 57025, 53486, 58296, 52980, 57019, 60510, 50877, 51218, 56415, 51056, 70893, 50456, 51027, 51376, 57551, 52222, 50916, 51244, 50877, 51318, 50973, 51477, 50968, 50983, 53541, 51148, 51656, 51939, 52187, 51671, 52225, 51592, 62795, 52136, 63174, 51358, 50973, 51358, 50968, 51218, 59419, 52011, 52033, 52122, 50444, 51086, 51965, 59758, 67680, 61471, 50889, 52255, 56109, 51315, 50845, 55547, 51445, 50900, 53280, 50916, 51314, 50877, 51703, 68275, 53389, 52826, 51656, 52204, 51711, 53849, 57025, 53577, 56014, 51079, 55203, 65377, 51318, 50877, 51244, 50876, 51148, 69375, 51742, 55895, 58667, 50916, 52168, 55547, 51183, 74720, 78872, 50876, 51310, 57025, 51097, 59409, 72600, 51214, 51127, 51026, 51047, 50900, 51080, 50916, 51387, 53817, 51047, 52187, 51397, 65827, 72044, 51836, 57586, 52931, 53339, 62879, 50936, 50799, 51836, 52919, 51247, 52337, 51050, 52454, 50304, 51145, 50871, 51295, 50877, 51295, 73891, 54720, 52204, 52133, 52204, 51743, 52204, 51656, 52204, 60643, 53866, 58783, 51318, 72734, 50876, 51148, 55203, 51166, 55513, 54980, 50871, 53581, 50900, 51310, 71698, 50877, 51244, 50876, 51148, 54197, 51671, 53523, 51432, 56014, 51803, 50871, 52168, 50877, 63348, 59791, 51946, 58399, 54230, 51836, 58007, 53702, 53339, 66228, 50917, 50799, 51836, 53651, 51315, 51449, 50900, 54590, 50311, 51965, 50876, 51477, 56617, 52204, 51615, 51801, 51711, 51801, 53523, 51490, 58319, 51183, 50876, 51148, 59419, 51922, 55895, 69513, 50900, 51965, 50861, 66743, 51447, 57551, 52335, 53523, 51703, 58319, 59391, 54975, 50916, 52212, 50444, 51946, 58127, 54230, 51836, 51253, 50900, 58327, 53312, 51315, 50972, 50799, 53151, 51318, 51120, 52071, 50871, 51703, 50877, 51244, 50876, 51314, 50931, 51103, 55430, 51445, 51743, 52337, 57025, 52528, 50438, 53151, 61567, 51703, 77920, 50877, 51314, 50876, 51148, 50931, 56391, 54012, 66386, 55125, 52601, 51380, 50902, 74323, 51120, 51174, 50799, 51836, 51677, 51214, 51671, 51026, 51922, 50900, 79675, 51314, 50877, 51314, 50876, 51314, 53817, 56235, 52133, 51449, 51656, 51449, 53523, 52025, 55203, 68026, 51244, 78872, 50876, 77307, 54012, 50915, 50799, 52601, 53651, 51214, 51445, 51026, 51490, 50899, 71562, 51637, 50876, 51965, 50902, 51965, 51615, 51671, 51711, 51671, 53337, 57123, 50899, 58339, 51115, 68275, 50902, 51452, 62322, 51314, 55989, 51310, 56222, 50914, 51881, 58667, 50876, 50845, 54795, 52335, 51026, 54171, 50899, 51318, 50861, 51318, 50973, 51295, 51615, 51449, 52187, 51449, 51838, 51449, 58296, 51047, 50861, 67430, 58141, 50861, 70452, 50901, 54650, 52985, 50876, 71116, 50901, 52795, 56711, 50973, 51514, 50327, 50901, 54577, 50974, 54795, 51293, 50900, 51477, 50876, 51939, 51062, 51445, 52795, 51313, 56947, 52916, 56014, 52212, 59419, 52598, 58365, 72499, 50876, 51353, 50456, 57846, 54795, 51313, 50900, 52519, 50871, 51449 ]

[ 0, 250, 20902, 8, 14899, 3152, 8, 3495, 2214, 14, 22750, 1626, 11098, 8, 1313, 1007, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 81, 9756, 29589, 6, 3459, 13305, 6, 2382, 3459, 8669, 6, 3459, 9590, 6, 8, 23338, 33518, 1264, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2214, 5705, 13774, 10, 33215, 16739, 9, 272, 6, 211, 6, 8, 230, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 68742, 51388, 63623, 70551, 52630, 51817, 50923, 63623, 52964, 52265, 52657, 51173, 56887, 66442, 51817, 51021, 63623, 60919, 52657, 50924, 56887, 53538, 52193, 51817, 50940, 63623, 50940, 53534, 50893, 68261, 55341, 51817, 50911, 63623, 54065, 52265, 52657, 51286, 56887, 78045, 51817, 50923, 63623, 50923, 51571, 50811, 52124, 61085, 53851, 51571, 50930, 52124, 55060, 53166, 52657, 50911, 56887, 50911, 51571, 50811, 52124, 54751, 55843, 51817, 51030, 63623, 51030, 51571, 50817, 52124, 55255, 53736, 51571, 50811, 52124, 52279, 50817, 53534, 51345, 68261, 51345, 51571, 51184, 52124, 51184, 63680, 54533, 51039, 56183, 53578, 50798, 51663, 52630, 51817, 50948, 63623, 50948, 52777, 65463, 52657, 50893, 56887, 50893, 51320, 56183, 50817, 51570, 52267, 51817, 50879, 63623, 50879, 51320, 56183, 52568, 52657, 50893, 56887, 50893, 52777, 68037, 51817, 50911, 63623, 50911, 51320, 56183, 53736, 50856, 50817, 53534, 51235, 68261, 51235, 65375, 52302, 51571, 50835, 52124, 51750, 56183, 53578, 51571, 50961, 52124, 55800, 51817, 50923, 63623, 50923, 51571, 50811, 52124, 52279, 56878, 52265, 52657, 50911, 56887, 50911, 51571, 50930, 52124, 54451, 77838, 53785, 51571, 50930, 52124, 56341, 51571, 50811, 52124, 51156, 75053, 51817, 50911, 63623, 50911, 51571, 50949, 52124, 54906, 77838, 53851, 51571, 50961, 52124, 55254, 52657, 50893, 56887, 50893, 51571, 50949, 52124, 53893, 64673, 51571, 50962, 52124, 56354, 51817, 50948, 63623, 50948, 51571, 50811, 52124, 65440, 56183, 53736, 51571, 50962, 52124, 50962, 53534, 51073, 68261, 51073, 51571, 51300, 52124, 51300, 63528, 51039, 56183, 53578, 50798, 51663, 52630, 51817, 51033, 63623, 51033, 52777, 65463, 52657, 51175, 56887, 51175, 51320, 56183, 50817, 51570, 52267, 51817, 50923, 63623, 50923, 51320, 56183, 52568, 52657, 50911, 56887, 50911, 51571, 50846, 52124, 54499, 56878, 52193, 51817, 51030, 63623, 51030, 51571, 50962, 52124, 55146, 77838, 53736, 50856, 50817, 53534, 51345, 68261, 51345, 51571, 50811, 52124, 51670, 56878, 52302, 51571, 50961, 52124, 51139, 56183, 53578, 51571, 50895, 52124, 53516, 51817, 50911, 63623, 50911, 51571, 50962, 52124, 56106, 56878, 52265, 52657, 51500, 56887, 51500, 51571, 50949, 52124, 54906, 77838, 53785, 51571, 50811, 52124, 52952, 51571, 50941, 52124, 56423, 51663, 54129, 51571, 50961, 52124, 55186, 51817, 50923, 63623, 50923, 51571, 50961, 52124, 55130, 77838, 53851, 51571, 50895, 52124, 53595, 52657, 51173, 56887, 51173, 51571, 50811, 52124, 52279, 55843, 51817, 50948, 63623, 50948, 51320, 56183, 50817, 53534, 51235, 56887, 51009, 51940, 51407, 52124, 51009, 63680, 54533, 51039, 56183, 53578, 50798, 51663, 52630, 51817, 50911, 52777, 65463, 52018, 51175, 51320, 56183, 50817, 51570, 52267, 51817, 50893, 56887, 50890, 51770, 50824, 52124, 53690, 77838, 52568, 52018, 50893, 52777, 68037, 51817, 50948, 56887, 50846, 51593, 50976, 52124, 53871, 77838, 53736, 56887, 50890, 52124, 57259, 50817, 53534, 51112, 56887, 73166, 52369, 52124, 51670, 64872, 51039, 56183, 52630, 51817, 50911, 56887, 50894, 52124, 54627, 56878, 52265, 52018, 51379, 56887, 50803, 52124, 63579, 56183, 50817, 51570, 75053, 51817, 50911, 56887, 50895, 52124, 54749, 77838, 53851, 56887, 50961, 52124, 55254, 52018, 50948, 56887, 50890, 52124, 54078, 64673, 56887, 50962, 52124, 56354, 51817, 50948, 56887, 50811, 52124, 65440, 56183, 53736, 56887, 50882, 52124, 50882, 53534, 51345, 56887, 50975, 52124, 50975, 65375, 52302, 51940, 54589, 56183, 53578, 50798, 51663, 52630, 51817, 51033, 73521, 50427, 51770, 51021, 50429, 56887, 50836, 52124, 53695, 52018, 51379, 56887, 50962, 51593, 50823, 52124, 55146, 77838, 58167, 51593, 62591, 51245, 51594, 54129, 51404, 50962, 50443, 51746, 60482, 51817, 50911, 53359, 50818, 51282, 52816, 77838, 52568, 52018, 51030, 73521, 50451, 51323, 70566, 51245, 57830, 51817, 50893, 53359, 50820, 51282, 54200, 77838, 57895, 51404, 69866, 51404, 73184, 56887, 50887, 52124, 56715, 50817, 53534, 51013, 53359, 50890, 51282, 53690, 64872, 50415, 51245, 51286, 50420, 53359, 50828, 51282, 51187, 56183, 60879, 51404, 54381, 56887, 50890, 52124, 67596, 51323, 57316, 51817, 51030, 53359, 50962, 51282, 56106, 56878, 54396, 51404, 69544, 51746, 57943, 52018, 50911, 53359, 50890, 51282, 53690, 77838, 53785, 56887, 50930, 52124, 75031, 51323, 52841, 53359, 50811, 51282, 51156, 54533, 50439, 51245, 63773, 51404, 56843, 51817, 50893, 53359, 50930, 51282, 54451, 77838, 59587, 51823, 51215, 50447, 56887, 50962, 52124, 56604, 52018, 51030, 53359, 50962, 51282, 56106, 51636, 50452, 51404, 59994, 56887, 50930, 52124, 75336, 51245, 63109, 51817, 50924, 53359, 50930, 51282, 54451, 77838, 53736, 56887, 51300, 52124, 51300, 53534, 51346, 53359, 51059, 51282, 51059, 63528, 50415, 51823, 50923, 51039, 56183, 60879, 51188, 62231, 51404, 55195, 51663, 52630, 51817, 51030, 73521, 50430, 51347, 54334, 52018, 51379, 53359, 50882, 51282, 53235, 77838, 58167, 51188, 51215, 51570, 54129, 51499, 57736, 51817, 50911, 51323, 69446, 56183, 56877, 51593, 60555, 51478, 64891, 51770, 77778, 52018, 50893, 52777, 68037, 51817, 50948, 53359, 50887, 51593, 50823, 51282, 53579, 77838, 53736, 56887, 51573, 52124, 78052, 50817, 53534, 51048, 53359, 51054, 51478, 50948, 51282, 51054, 65375, 52302, 51593, 52207, 56183, 53578, 51746, 56346, 51817, 51030, 52777, 51663, 54396, 51323, 53810, 52018, 51175, 53359, 50930, 51746, 72725, 54451, 77838, 53785, 51323, 52599, 53359, 50884, 51245, 50858, 51282, 51179, 51663, 54129, 51746, 54651, 51817, 50911, 53359, 50930, 51323, 50830, 51282, 54451, 77838, 53851, 51497, 54596, 52018, 50948, 53359, 50930, 51746, 51030, 51282, 55060, 64673, 56887, 50962, 52124, 56354, 51817, 50948, 53359, 50890, 51282, 53690, 77838, 57895, 51323, 56860, 56887, 51029, 51245, 50890, 52124, 51029, 50461, 51404, 51460, 53534, 51346, 53359, 50824, 51282, 50824, 63528, 51039, 56183, 53578, 51404, 73651, 51663, 52630, 51817, 50893, 73521, 50430, 51347, 56629, 52018, 51227, 53359, 50890, 51282, 53690, 77838, 58167, 51404, 51173, 51570, 57512, 51188, 71476, 51347, 57816, 51817, 50911, 53359, 50846, 51282, 53871, 77838, 53851, 56887, 50828, 52124, 53035, 52018, 50911, 53359, 50890, 51282, 54078, 64872, 50452, 51499, 59574, 56887, 50930, 52124, 55577, 51817, 51021, 53359, 50962, 51282, 55146, 77838, 57895, 51200, 58361, 56887, 50962, 52124, 61151, 50817, 53534, 51345, 53359, 50811, 51282, 51670, 56878, 52302, 53359, 50828, 51347, 50962, 51282, 51187, 56183, 53578, 56887, 50890, 51499, 50882, 52124, 70576, 51347, 53950, 51817, 50911, 53359, 50803, 51282, 51779, 64872, 50428, 51499, 54154, 52018, 51227, 51347, 51030, 51320, 56183, 52676, 56887, 50894, 51200, 51496, 52124, 51739, 75053, 51817, 51388, 53359, 50930, 51282, 54451, 77838, 53851, 56887, 50962, 52124, 56604, 52018, 50911, 53359, 50930, 51282, 55060, 64673, 56887, 50962, 52124, 56354, 51817, 51030, 53359, 50887, 51282, 53579, 77838, 53736, 56887, 52097, 52124, 52097, 53534, 51227, 53359, 51059, 51282, 51059, 63528, 51039, 56183, 60879, 52150, 54588, 50798, 54533, 50424, 53468, 53450, 51817, 50948, 73521, 50427, 52150, 59545, 53468, 53998, 52657, 51500, 53359, 50890, 52150, 50810, 51282, 53690, 77838, 62602, 53468, 52691, 52150, 51420, 60178, 53468, 53783, 51817 ]

[ 0, 250, 20902, 3152, 8, 3495, 24904, 2214, 11, 2060, 538, 6, 4246, 10, 11577, 20535, 2810, 6, 38668, 22052, 6, 1076, 560, 31365, 25999, 6, 9590, 3863, 6, 8, 3459, 9590, 6, 2351, 41, 14899, 8, 15352, 30054, 5466, 19, 10, 2365, 8, 1313, 16464, 6, 3185, 30, 10, 1769, 20889, 9, 19376, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 230, 10431, 119, 1176, 406, 6, 381, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 56574, 51068, 51724, 50945, 51918, 51019, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 55436, 51068, 53312, 66195, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 56574, 51068, 51724, 50945, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 55436, 51068, 50807, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 56574, 51068, 51724, 50945, 51918, 51019, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 55436, 51068, 53312, 66195, 55708, 55157, 52910, 51068, 51628, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 51724, 51205, 62478, 50816, 52513, 50816, 51757, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51205, 50991, 51068, 52390, 50807, 55708, 52221, 62550, 50807, 54961, 50983, 58943, 50983, 75537, 50983, 55465, 59492, 51068, 52390, 53872, 53182, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 52390, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51646, 51796, 52221, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51918, 50798, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51796, 63600, 53030, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51923, 50798, 50795, 52489, 50795, 55321, 50795, 58220, 50795, 55826, 50795, 55708, 52221, 62550, 50807, 54961, 50983, 58943, 50983, 75537, 50983, 55465, 59492, 51068, 52390, 53872, 53182, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 52390, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51646, 51796, 56426, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51918, 51796, 51428, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51796, 63600, 53030, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 50795, 55708, 52221, 62550, 50807, 54961, 50983, 58943, 50983, 75537, 50983, 55465, 59492, 51068, 52390, 53872, 53182, 51495, 72964, 50795, 52828, 50795, 55533, 75388, 58717, 52390, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51646, 51796, 52221, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51918, 50798, 50795, 52851, 50795, 54924, 50795, 65700, 50795, 54670, 51798, 51495, 72964, 50795, 52828, 50795, 55533, 50795, 51796, 63600, 53030, 53872, 50807, 52103, 50795, 53733, 50795, 58982, 50795, 53157, 51923, 50798, 50795, 52489, 50795, 55321, 50795, 58220, 50795, 55826, 50795, 51528, 61559, 50807, 54961, 50795, 58943, 50795, 75537, 50795, 55465, 52115, 51796, 51730, 52108, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51631, 51796, 51730, 58717, 52390, 60020, 55154, 50807, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51736, 51796, 51730, 58717, 52390, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51646, 51796, 51730, 52108, 60020, 55154, 50807, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51918, 51796, 51730, 52108, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 53658, 50816, 51757, 51796, 51730, 52108, 52108, 77910, 55154, 50807, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 51923, 51796, 51730, 52108, 60020, 50795, 56636, 50795, 65574, 50795, 50716, 50288, 50795, 55444, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 52221, 55154, 53218, 51325, 52390, 80181, 52108, 61559, 53312, 51325, 51730, 50795, 55194, 52221, 67934, 55154, 50807, 51694, 55154, 53182, 51213, 52108, 51646, 53344, 52221, 55154, 53218, 50945, 51730, 51798, 51213, 52390, 55154, 53312, 51325, 51730, 50795, 53534, 55157, 61559, 50807, 51694, 55154, 53182, 51011, 52390, 51646, 51325, 51730, 55154, 53218, 51325, 55568, 80181, 55154, 58031, 51326, 51754, 51325, 51730, 60020, 50800, 55708, 52221, 67934, 55154, 50807, 51694, 55154, 53182, 51228, 52108, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51228, 61024, 55154, 53312, 51796, 51730, 52108, 50809, 53206, 50809, 51528, 61559, 53561, 51796, 51428, 52108, 60020, 51631, 51796, 51730, 52108, 60020, 55154, 53182, 51796, 51730, 52108, 60020, 51646, 51796, 51730, 52108, 60020, 55154, 53218, 51796, 51730, 52108, 60020, 53658, 50816, 51757, 51796, 51730, 52108, 60020, 55154, 53312, 51796, 51730, 52108, 60020, 50795, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 50807, 51899, 55154, 53312, 51796, 56252, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 50807, 51899, 55154, 53312, 51796, 56252, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 50807, 51899, 55154, 53312, 51796, 56252, 55708, 55157, 61559, 50807, 51694, 55154, 53182, 51228, 51428, 51646, 51228, 55157, 55154, 53218, 50816, 51798, 50927, 52108, 55154, 53312, 50798, 50795, 53870, 55157, 67934, 61559, 50807, 51694, 55154, 53182, 51105, 51428, 51646, 51105, 55157, 55154, 50807, 51899, 55154, 53312, 51096, 56252, 53870, 55157, 61559, 50807, 51694, 55154, 53182, 51105, 51428, 51646, 51105, 55157, 55154, 52728, 50945, 52108, 55154, 53312, 51213, 56252, 55563, 55157, 61559, 50807, 51694, 55154, 53182, 51325, 51428, 51646, 51325, 51428, 55154, 52728, 51228, 52108, 55154, 53312, 51325, 56252, 55563, 51428, 61559, 53561, 51325, 52108, 51631, 51213, 52108, 55154, 53182, 51213, 51428, 51646, 50945, 52108, 55154, 50807, 53525, 51820, 50945, 51428, 51757, 51105, 52108, 55154, 53312, 51105, 56252, 55708, 52221, 67934, 52085, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 55568, 55154, 53218, 51796, 51428, 51798, 51068, 53030, 55154, 53312, 51228, 51730, 50795, 55708, 52221, 61559, 52910, 51068, 52390, 55154, 53182, 51228, 58717, 52390, 51646, 51796, 52221, 55154, 53218, 51325, 52390, 80181, 52108, 61559, 53312, 51325, 51730, 50795, 55194, 52221, 67934, 55154, 50807, 51694, 55154, 53182, 51213, 52108, 51646, 53344, 52221, 55154, 53218, 50945, 51730, 51798, 51213, 52390, 55154, 53312, 51325, 51730, 50795, 53534, 55157, 61559, 50807, 51694, 55154, 53182, 51011, 52390, 51646, 51325, 51730, 55154, 53218, 51325, 55568, 80181, 55154, 58031, 51326, 51754, 51325, 51730, 60020, 50800 ]