benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 765, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 533, 7, 28, 341, 25, 10, 19834, 4, 85, 34, 10, 7212, 20889, 6, 16, 11, 5, 762, 9, 272, 538, 6, 8, 3905, 10, 33215, 16739, 9, 211, 406, 6, 230, 119, 1176, 406, 6, 211, 6, 272, 6, 8, 83, 4, 20, 15229, 7630, 6568, 10, 2933, 8, 15352, 30054, 5466, 6, 10686, 13, 10, 822, 50, 177, 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, 0, 0, 0, 0 ]	[ 54458, 50417, 52550, 50803, 52205, 51300, 50421, 52573, 59174, 52740, 60066, 52292, 57925, 52049, 52674, 52242, 52057, 52797, 50803, 52205, 51300, 50442, 51975, 57276, 52044, 59550, 52416, 62103, 52342, 58403, 52044, 52937, 72772, 52205, 51300, 50799, 52044, 62180, 51975, 59236, 52797, 59174, 52242, 60066, 52049, 57925, 73588, 52292, 75993, 52342, 52057, 72772, 52049, 50976, 50442, 52044, 57276, 69289, 53029, 76253, 52797, 62103, 52550, 50803, 52205, 51300, 50455, 52573, 52937, 52740, 50803, 50799, 52292, 62180, 52049, 59236, 52242, 57615, 52797, 50803, 52205, 51300, 50428, 51975, 57925, 52044, 52674, 52416, 52057, 52342, 60295, 52044, 57276, 72772, 52205, 51300, 50449, 52044, 62103, 51975, 52163, 52797, 52937, 74920, 50799, 52049, 62180, 73588, 52292, 50976, 50421, 52342, 57615, 72772, 52049, 50976, 50428, 52044, 52119, 69289, 53029, 75993, 52797, 52057, 69289, 52550, 51300, 50442, 52044, 57276, 52416, 57891, 52342, 62103, 52205, 52163, 52662, 52937, 54081, 50803, 53029, 51059, 51601, 53382, 62180, 54066, 59236, 52342, 57615, 52416, 60066, 52044, 52119, 52550, 50803, 52416, 51300, 50435, 52573, 57149, 52740, 60295, 52292, 57276, 52049, 57891, 52242, 62103, 52797, 50803, 52044, 58954, 51975, 52937, 52044, 51066, 51601, 52292, 62180, 52740, 59236, 52573, 57615, 52740, 51300, 50428, 52205, 52119, 52342, 52674, 52416, 57149, 52342, 60295, 52205, 59116, 73588, 52292, 51300, 50449, 52205, 62103, 52342, 52163, 52416, 52937, 66017, 51601, 51975, 62180, 52797, 51300, 50422, 52049, 57615, 52292, 60066, 52740, 52119, 52292, 52674, 52049, 57149, 74920, 51975, 51300, 50442, 52049, 59116, 52292, 57891, 52740, 53532, 52573, 52163, 52550, 52937, 53895, 50803, 52044, 50976, 51601, 53249, 62180, 53029, 50803, 52416, 72693, 53571, 57615, 55342, 50803, 52342, 65717, 55061, 52119, 72772, 55411, 51059, 50435, 52205, 57149, 52342, 60295, 52416, 59116, 66017, 53571, 76253, 51975, 53532, 52797, 50976, 53029, 51300, 50460, 66292, 51601, 53731, 62180, 52205, 58026, 52797, 57615, 52797, 50803, 53249, 51300, 50429, 51975, 52119, 52205, 58198, 53731, 57149, 52205, 60295, 51975, 59116, 69289, 53895, 51300, 50449, 52044, 53532, 52205, 52163, 53731, 58055, 66292, 51601, 52044, 60442, 66017, 52550, 51300, 50422, 52416, 57615, 53382, 53300, 54081, 52119, 53382, 58198, 52416, 57149, 72772, 52573, 51300, 50443, 53731, 59116, 54066, 57891, 53382, 53532, 54066, 52163, 53731, 58055, 53731, 50803, 52740, 51300, 51601, 52205, 60442, 54066, 58026, 53382, 51973, 54066, 53300, 52205, 52119, 66292, 53322, 51300, 50436, 52662, 57149, 54066, 60254, 53382, 59116, 54066, 52116, 52662, 53532, 73588, 52049, 51300, 50456, 54081, 58055, 66262, 50803, 51601, 71461, 60442, 66262, 58026, 54081, 51973, 54081, 50803, 52242, 51300, 50429, 53382, 57476, 66262, 58198, 71461, 57149, 66262, 60254, 53382, 59116, 53382, 50803, 52797, 51300, 50450, 54066, 53532, 66262, 57303, 71461, 58055, 66262, 50803, 51601, 54066, 60442, 51975, 50976, 57082, 51066, 50422, 53731, 51973, 52205, 50802, 52797, 65717, 54066, 59786, 53731, 50802, 52242, 50976, 50436, 53382, 62281, 54081, 50802, 52049, 50976, 50443, 54066, 61409, 53731, 50802, 52242, 58317, 52662, 55680, 52044, 50802, 52797, 50976, 50457, 54081, 58055, 51975, 50976, 52416, 50976, 51809, 57082, 60442, 54066, 50803, 52044, 72693, 53382, 51973, 54081, 50803, 52573, 65717, 52662, 57476, 53029, 50976, 52205, 52442, 50440, 52049, 60254, 53322, 59116, 52049, 52116, 53029, 53532, 53029, 57303, 53249, 58055, 77155, 51809, 53322, 60442, 52049, 52801, 53249, 51973, 53249, 53300, 53895, 57476, 52049, 58198, 53322, 62281, 52049, 60254, 53895, 52911, 52550, 58317, 53382, 50803, 57082, 53532, 54081, 50803, 54066, 50803, 52573, 51059, 50457, 73588, 53382, 58055, 66292, 54081, 50803, 55061, 50976, 51809, 53731, 50803, 52662, 60442, 53029, 50976, 52205, 52442, 50426, 52049, 53300, 53322, 57476, 52049, 58198, 53029, 62281, 53029, 60254, 53249, 52911, 52049, 52116, 53322, 58268, 52049, 57303, 53249, 58055, 53249, 50803, 51809, 53895, 60442, 52049, 52801, 53322, 51973, 52049, 58874, 53895, 57476, 52550, 50976, 50436, 53382, 50803, 57082, 62281, 54081, 50803, 54066, 50803, 52573, 51059, 50443, 73588, 53382, 52911, 66292, 54081, 50803, 55061, 58317, 53731, 50803, 52662, 58268, 54081, 50803, 53029, 50976, 52205, 50976, 50457, 54066, 58055, 53249, 50976, 53731, 50976, 51809, 52662, 50976, 50419, 53895, 50976, 52044, 71659, 54081, 58595, 52550, 50976, 52416, 50976, 50430, 53382, 57476, 54081, 50803, 52573, 51059, 50436, 52662, 62281, 66292, 55061, 50976, 50443, 53731, 52911, 53029, 50976, 52205, 58317, 54081, 72590, 53249, 50976, 51975, 50976, 50457, 52662, 50976, 50460, 53895, 50976, 52797, 50976, 51809, 52205, 50976, 50419, 74920, 52550, 71659, 69289, 52416, 51973, 52797, 50803, 66017, 52573, 51066, 50429, 74920, 51975, 57476, 77155, 52797, 50803, 55061, 50976, 50436, 53322, 50803, 52242, 62281, 52049, 51059, 59112, 51300, 50460, 53029, 50803, 52205, 51300, 51809, 53249, 60442, 53895, 52801, 52550, 51973, 52573, 53300, 52740, 57476, 52292, 50803, 52205, 51300, 50436, 52049, 62281, 52242, 60254, 52797, 52911, 51975, 52116, 52044, 58268, 52416, 50976, 50457, 52205, 58055, 66387, 52044, 50976, 51809, 52416, 60442, 66387, 51975, 71659, 52205, 51973, 73588, 52292, 50976, 50430, 52205, 57476, 66387, 52740, 50976, 50436, 52205, 62281, 73588, 52573, 50976, 50443, 54081, 52911, 53382, 50803, 52550, 51300, 50450, 52205, 58268, 52416, 57303, 51975, 56771, 77155, 51809, 52740, 60442, 55411, 65084, 53382, 58874, 54081, 57476, 53382, 57880, 52416, 62281, 72772, 52049, 51059, 50443, 52044, 52911, 54081, 52116, 52662, 58268, 54081, 50803, 53324, 50976, 50457, 52044, 56771, 66017, 52242, 51059, 51809, 51975, 60442, 52662, 52801, 54073, 51973, 73588, 52550, 50976, 50430, 51975, 57476, 69289, 52573, 51059, 50437, 52797, 62281, 52342, 52284, 52416, 52911, 66387, 52740, 58317, 52797, 58268, 52797, 50803, 52292, 51059, 50457, 52242, 56771, 66387, 51809, 52416, 52244, 66387, 53571, 71659, 52242, 51973, 55342, 50976, 52242, 50976, 50433, 52740, 50803, 53324, 51059, 50437, 52573, 62281, 52740, 52284, 55342, 52911, 55342, 52116, 56280, 58268, 52740, 57303, 52573, 56771, 52740, 50803, 51809, 56280, 52244, 56280, 52801, 54769, 56998, 52740, 58874, 52573, 57476, 52740, 57880, 54769, 62281, 53249, 60815, 57082, 52911, 54073, 50803, 53895, 50976, 50451, 54081, 58268, 73588, 52550, 50976, 50457, 53382, 56771, 54081, 50803, 52573, 50976, 51809, 54066, 50803, 58683, 52244, 53382, 50803, 57082, 50803, 52740, 51059, 50423, 54081, 50803, 54066, 56998, 73588, 53382, 50803, 55342, 50976, 50430, 54073, 50803, 54081, 56861, 52662, 50976, 53249, 51300, 50440, 73588, 57082, 51300, 50444, 52205, 52911, 52662, 57365, 51975, 58268, 72772, 55061, 51300, 50458, 52342, 56771, 54066, 50803, 52342, 51300, 51809, 53382, 52244, 54066, 52801, 52662, 56998, 73588, 53029, 51300, 50430, 54081, 56861, 66292, 54066, 51300, 50437, 52342, 62281, 52205, 52284, 52044, 52911, 66017, 55411, 51300, 50451, 52416, 58268, 53382, 50803, 52416, 51059, 50458, 54081, 56771, 53382, 50803, 52177, 52205, 52244, 73588, 53571, 51300, 50423, 52205, 56998, 52342, 58874, 52416, 56861, 52662, 57880, 51975, 53609, 53029, 50976, 51975, 72992, 77155, 52797 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 228, 438, 4781, 2088, 6757, 6, 38668, 2236, 6, 21072, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 2060, 6, 163, 428, 6, 8, 12608, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50801, 71162, 50849, 51544, 63069, 51570, 58804, 51112, 52320, 51862, 51453, 51319, 51755, 50849, 52068, 51039, 50955, 51361, 51550, 51570, 52918, 51167, 52320, 51550, 51453, 51832, 51755, 52201, 50978, 51544, 51862, 53550, 59218, 51798, 58225, 51091, 53861, 80075, 50799, 55169, 69561, 52808, 77639, 74095, 54614, 50889, 51361, 54927, 52842, 54881, 53661, 51427, 50449, 54614, 52024, 52320, 51123, 51453, 51297, 56451, 51991, 63890, 50897, 51544, 52179, 53550, 58101, 51798, 53861, 51453, 51832, 55929, 52536, 50801, 55110, 77639, 51524, 51361, 50912, 53550, 76714, 51060, 52320, 50912, 51453, 52101, 65331, 52500, 63890, 50977, 51544, 51000, 51361, 51851, 53550, 60397, 65223, 58225, 51013, 53673, 51453, 51128, 55970, 52536, 54614, 50917, 54383, 63524, 54260, 79604, 52842, 51203, 51039, 50984, 50425, 54614, 51124, 51361, 52134, 50437, 54614, 50952, 54383, 52149, 53550, 60397, 50967, 50441, 52842, 51775, 50449, 54614, 52024, 52320, 51008, 56451, 52500, 50801, 71162, 50849, 51544, 63069, 51570, 58804, 51112, 52320, 51022, 51453, 51252, 55929, 52500, 50801, 52808, 50878, 51039, 50955, 51361, 51550, 53550, 63576, 50805, 52320, 51550, 51453, 51832, 65331, 52500, 50801, 52201, 50959, 51544, 51862, 53550, 58101, 55178, 58225, 51073, 53861, 51453, 59789, 52842, 50925, 55970, 53435, 52277, 53095, 52808, 67972, 54383, 50807, 51039, 54325, 52277, 50889, 51361, 54793, 52842, 51661, 50804, 64512, 50830, 52320, 51123, 51453, 51297, 75698, 75582, 71162, 53466, 51308, 51591, 50791, 63069, 50438, 51512, 51675, 50804, 60837, 51060, 50449, 51561, 50889, 52320, 51862, 50455, 52477, 51116, 51453, 51252, 50461, 51964, 51675, 51755, 52808, 58793, 51561, 51419, 50791, 59780, 51512, 63325, 51550, 51570, 52918, 51167, 52320, 51550, 51453, 51832, 78323, 51894, 50801, 52201, 58632, 51512, 77580, 75594, 51847, 58379, 59218, 69451, 52477, 51177, 52320, 55293, 52746, 51077, 53861, 65364, 65849, 54260, 77639, 67360, 51099, 71992, 51512, 51412, 50791, 50912, 53550, 79108, 54630, 51308, 50914, 52320, 51123, 51453, 51297, 75698, 51894, 54383, 50361, 50413, 54614, 55856, 52901, 52337, 50801, 71162, 53466, 51308, 51945, 50791, 63069, 50438, 51512, 51675, 50804, 60837, 60866, 51561, 59348, 51862, 50456, 52477, 66741, 51252, 50461, 51964, 51696, 51755, 52808, 58793, 51561, 70504, 59780, 51512, 51103, 50791, 51550, 53550, 63576, 50805, 52320, 51550, 51453, 51832, 50457, 51561, 52462, 78323, 52536, 55334, 51243, 52842, 52151, 50801, 52201, 58632, 51144, 51675, 50791, 75594, 51847, 51351, 50791, 51626, 58647, 52477, 52839, 68935, 52746, 51036, 51453, 50941, 65364, 51103, 54614, 52337, 52277, 52335, 53853, 76914, 52808, 53932, 51561, 51295, 50791, 55100, 51099, 60837, 50912, 53550, 64512, 54630, 51512, 50924, 52320, 51123, 51453, 51297, 50461, 54733, 52536, 50799, 54383, 60130, 52901, 52096, 63890, 55640, 51308, 51941, 50791, 52179, 50437, 51512, 51675, 53550, 56958, 69451, 51561, 51003, 52320, 55293, 51706, 51432, 52477, 51884, 50791, 51832, 50461, 51964, 51036, 51755, 53538, 53932, 51561, 70504, 77692, 51512, 79000, 50912, 53550, 76714, 51060, 52320, 50912, 51453, 52101, 50457, 51561, 54146, 50461, 53646, 51036, 52842, 53588, 55334, 51671, 51755, 53710, 60086, 51561, 50865, 51512, 51291, 50791, 65472, 51144, 51806, 51361, 70511, 51561, 51204, 50804, 60397, 65223, 51847, 50991, 53673, 50456, 51561, 52063, 66267, 50461, 54614, 51671, 53853, 51313, 79921, 52536, 52277, 51313, 51715, 51015, 61195, 51706, 51351, 50791, 55070, 51561, 61271, 51099, 56958, 51832, 51570, 57439, 51175, 50441, 51706, 60226, 51512, 51016, 52320, 51008, 75698, 51103, 54383, 50361, 50413, 52901, 52337, 54614, 55856, 50801, 71162, 67381, 51522, 52500, 50426, 51308, 73653, 63069, 50438, 51512, 51675, 50804, 60837, 60866, 51561, 51204, 50791, 51862, 50456, 52477, 60596, 51252, 50461, 51461, 53435, 51964, 51036, 51755, 50849, 52068, 51039, 50955, 50421, 51561, 70705, 51512, 51291, 63353, 51570, 52918, 51167, 52320, 51550, 51453, 51832, 65331, 53435, 53646, 52069, 55334, 51243, 52842, 52151, 50791, 65220, 52483, 51144, 51675, 73216, 51847, 51204, 50804, 59218, 51798, 52477, 51100, 53861, 50456, 52746, 53363, 53861, 55970, 53435, 51706, 51346, 54614, 51445, 52277, 52335, 53853, 76914, 54260, 53932, 51561, 67141, 54325, 51099, 54777, 51512, 58101, 50912, 53550, 64512, 54630, 51308, 51354, 52320, 51123, 51453, 51297, 56451, 52369, 54733, 51307, 54614, 51359, 54383, 52204, 52901, 75195, 71162, 53466, 51308, 51677, 50791, 63069, 50438, 51512, 77580, 58804, 51112, 50449, 51561, 51204, 52320, 51022, 50455, 52477, 51157, 51453, 51252, 50461, 53646, 51655, 65331, 53435, 52842, 51353, 55334, 76914, 52808, 58793, 51847, 55859, 68313, 51144, 51161, 51361, 51550, 53550, 63576, 50805, 50443, 51847, 51749, 50450, 52477, 73844, 51550, 51453, 51832, 50461, 52277, 52096, 55970, 53435, 52746, 56736, 54614, 52096, 53853, 52122, 50801, 52201, 58632, 51706, 51542, 50791, 51862, 50437, 73905, 51570, 51626, 50967, 50443, 51561, 51645, 50449, 51706, 51484, 52320, 68935, 51512, 51112, 51453, 63729, 51099, 51112, 55970, 61413, 52808, 53932, 51560, 50889, 51561, 55637, 74308, 51706, 52097, 51361, 66186, 51560, 51541, 53550, 64512, 50830, 52320, 51123, 51453, 51297, 56451, 52369, 54733, 51307, 54614, 51151, 54383, 52204, 52901, 75195, 71162, 53466, 51308, 51518, 50791, 63069, 50438, 51561, 75263, 58804, 68390, 52477, 51351, 50791, 51862, 51453, 51319, 50461, 53646, 51264, 65331, 53435, 52842, 51714, 55334, 69880, 50849, 52068, 50420, 51847, 55859, 59780, 51144, 51103, 50791, 51550, 51570, 52918, 68722, 51847, 51267, 50449, 52477, 50845, 52320, 51550, 51453, 51832, 50459, 51706, 55277, 50460, 51561, 53295, 50461, 52746, 51422, 54614, 52096, 52277, 51801, 53853, 51717, 55970, 53435, 51099, 55428, 50801, 52201, 50978, 51544, 51862, 53550, 59218, 51798, 53861, 80075, 51755, 52808, 77639, 74308, 50801, 51060, 51361, 65219, 51553, 51033, 51570, 53661, 51427, 50443, 51224, 68280, 51289, 66363, 51123, 51453, 51297, 56451, 51685, 54733, 51189, 51561, 51103, 51512, 51591, 51153, 51161, 53582, 51264, 52689, 52208, 54669, 52570, 57198, 53073, 54614, 51359, 54383, 52121, 52901, 73840, 63677, 51158, 51335, 51060, 51544, 54618, 51361, 51550, 50437, 54733, 51244, 53550, 56958, 51095, 50443, 51561, 51775, 50449, 51522, 51124, 51512, 51194, 52320, 55675, 79930, 73909, 50461, 52318, 52500, 51512, 51358, 51777, 51358, 63716, 51696, 50680, 50281, 51655, 55102, 51469, 62673, 51472, 55334, 52250, 52842, 51717, 50801, 73653, 50873, 51544, 51210, 51361, 52179, 53550, 60194, 51111, 52320, 51008, 56672, 51142, 50461, 51144, 51661, 51308, 51077, 51777, 51358, 52551, 51655, 54204, 51977, 53038, 51264, 53391, 52570, 53853, 59578, 54881, 51158, 51544, 52179, 51361, 51524, 53550, 58415, 51918, 51144, 51253, 50449, 51261, 69785, 51308, 52063, 50801, 52201, 55345, 51777, 51524, 50461, 51560, 51941, 51639, 52369, 57279, 52208, 53873, 51655, 66301, 51896, 51308, 51685, 75227, 51469, 52277, 75195, 63677, 62192, 53853, 51264, 56462, 51469, 51544, 51252, 51361, 51269, 53550, 71496, 65223, 51098, 59961, 54194, 51561, 50366, 51225, 68752, 51512, 51358, 53582, 51469, 52689, 51469, 57198, 51492, 56451, 52311, 54733, 51446, 51561, 51077, 51153, 51941, 54614, 51894, 52901, 51538 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 42, 8787, 2125, 16, 10, 28252, 9, 8597, 6, 31, 657, 7, 15073, 6, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 163, 538, 8, 3185, 30, 10, 182, 1769, 20889, 6, 24, 1575, 10, 6878, 11739, 9, 3459, 9590, 6, 13305, 6, 6755, 12547, 6, 8, 21072, 4, 20, 16331, 33215, 16739, 9, 381, 6, 274, 10431, 6, 8, 163, 3639, 7, 63, 13363, 28191, 2868, 6, 442, 24, 10, 3127, 24111, 4388, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50643, 57448, 50796, 50799, 56617, 53002, 52332, 53002, 52255, 53002, 52187, 53002, 50796, 50796, 50796, 57289, 50805, 51147, 50805, 51315, 51313, 55131, 78264, 50973, 53466, 50968, 51514, 50324, 53308, 50973, 50873, 56296, 64050, 51001, 76919, 53969, 50973, 55125, 51001, 76919, 55345, 50973, 50901, 51817, 51591, 58540, 66386, 51644, 50296, 51714, 57340, 53172, 51028, 66386, 54342, 50877, 53264, 51001, 68800, 50845, 52657, 56306, 50973, 54230, 51001, 76724, 50795, 51817, 52809, 51415, 55346, 51324, 64449, 50849, 51817, 50889, 57289, 51458, 50324, 50805, 51315, 74905, 50973, 50849, 51817, 51623, 50426, 50968, 51514, 50324, 51736, 50973, 54233, 51001, 68800, 55945, 50973, 54230, 51001, 68800, 50845, 51271, 57414, 50973, 50849, 58540, 65064, 51644, 50296, 51714, 51019, 51605, 57340, 55035, 51028, 61527, 54342, 50877, 53264, 51001, 68800, 51918, 50973, 55125, 51001, 51644, 50322, 55670, 51324, 64449, 50805, 52657, 50879, 54852, 64651, 69748, 51218, 59439, 51655, 52657, 51790, 56440, 54851, 51028, 65064, 54259, 51315, 58800, 54233, 50968, 64510, 75125, 71158, 51028, 50845, 52022, 56160, 51399, 51203, 50999, 51480, 51817, 53702, 50968, 50879, 56296, 50905, 54852, 65631, 50795, 51324, 51127, 62146, 51655, 56296, 51183, 56440, 54851, 51028, 61552, 54729, 50877, 52322, 51324, 67430, 71606, 51608, 50322, 51013, 51415, 50918, 50449, 50973, 56508, 51197, 66714, 51619, 50322, 77204, 51147, 52961, 51324, 66083, 50873, 57289, 51644, 50325, 51644, 50296, 51295, 56617, 53002, 51817, 52821, 50420, 50973, 54335, 50968, 51644, 50325, 54342, 51324, 66228, 54137, 50968, 51644, 50324, 51644, 50296, 64632, 50973, 54323, 50968, 51644, 50324, 54509, 51324, 66228, 50901, 57289, 64510, 51568, 50296, 70506, 50973, 55035, 50968, 68502, 54777, 51324, 68219, 53470, 50968, 51458, 50324, 51458, 50296, 72758, 50973, 54230, 50968, 79111, 53702, 51324, 74690, 50849, 55524, 51162, 50965, 51608, 50296, 51991, 64401, 51480, 56248, 51411, 50432, 50989, 51377, 50438, 50973, 51400, 50968, 51377, 50444, 50965, 74190, 50965, 51025, 50973, 67768, 51315, 64233, 50849, 56178, 51377, 50989, 51162, 51315, 51714, 64401, 51112, 56040, 51411, 50432, 50989, 51400, 50438, 50973, 51411, 51001, 60182, 50989, 51112, 62291, 59625, 55764, 51197, 62530, 65481, 50923, 55524, 60781, 52370, 50293, 51605, 61683, 54851, 50916, 52605, 50965, 53470, 51028, 65544, 55945, 50965, 55125, 50965, 64651, 55670, 51360, 63254, 50905, 55524, 57669, 78418, 51115, 61683, 53466, 50989, 56036, 54259, 51279, 51644, 50305, 53913, 50956, 63142, 51568, 50291, 64632, 51086, 54323, 50956, 69474, 51923, 51324, 51514, 50303, 50893, 55524, 51162, 50965, 51608, 50296, 51991, 64401, 51480, 56248, 51411, 50432, 50989, 51377, 50438, 50973, 51400, 50968, 51400, 50444, 50965, 68390, 50965, 51346, 50973, 51345, 50456, 51315, 64233, 50893, 56178, 51112, 50989, 51227, 51315, 51714, 64401, 51112, 56040, 51411, 50432, 50989, 51400, 50438, 50973, 51411, 51001, 60182, 50989, 51112, 62291, 51112, 50989, 75581, 51197, 62530, 56036, 50806, 55524, 62490, 51442, 50293, 51103, 61683, 55035, 50916, 54259, 50965, 53470, 50877, 65631, 50805, 51279, 51141, 65827, 55125, 50877, 69791, 55670, 51279, 62430, 50905, 55524, 72169, 51455, 50291, 51295, 64401, 53770, 50916, 71274, 52605, 51324, 51644, 50303, 53470, 50956, 60747, 51073, 51324, 51218, 50444, 51086, 54230, 50956, 51227, 50989, 57175, 51324, 70167, 50901, 55524, 65481, 52370, 50289, 51364, 61683, 54851, 50916, 56876, 51736, 51279, 76451, 52446, 50989, 56190, 51519, 50291, 51115, 61614, 54230, 50989, 65872, 53702, 51324, 71321, 50873, 57190, 58654, 51519, 50296, 51218, 56440, 53770, 50965, 64449, 52605, 51324, 61027, 52446, 50965, 51346, 50876, 51345, 51176, 60865, 50956, 52596, 50965, 68422, 77002, 51197, 64742, 50849, 54852, 62036, 75291, 51115, 56440, 53172, 50877, 68434, 54259, 51315, 61027, 53470, 50989, 64449, 51519, 50303, 51295, 61614, 55125, 50989, 62879, 53586, 51378, 71321, 50845, 55524, 59023, 51568, 50296, 51310, 64401, 53770, 50916, 59389, 53387, 51324, 51644, 50303, 54137, 50916, 65632, 51568, 50296, 64632, 51086, 54323, 50916, 65632, 54509, 51324, 51644, 50303, 50905, 55524, 57069, 51568, 50296, 51295, 64401, 53890, 50916, 57069, 54259, 51324, 50805, 51086, 50795, 59089, 50991, 51456, 59714, 52057, 50916, 56962, 51442, 50296, 51364, 50441, 56296, 52195, 51224, 61411, 52284, 51086, 64800, 58731, 52116, 50916, 52370, 50312, 64800, 58731, 53532, 51326, 58731, 52163, 51324, 79541, 51012, 51289, 62310, 52937, 51289, 62310, 50803, 55524, 51112, 50965, 52530, 50296, 52536, 51019, 52379, 50798, 52319, 52410, 51086, 69472, 54158, 54851, 50916, 51411, 50856, 52030, 50989, 51377, 50856, 55122, 50973, 51400, 50968, 51400, 50816, 54158, 52313, 50965, 51112, 50856, 55149, 50965, 51346, 50973, 51345, 50856, 52325, 51315, 64233, 62417, 50879, 56178, 51112, 50989, 51227, 51315, 51714, 51019, 54055, 50798, 54158, 52410, 51086, 59554, 54158, 54851, 50956, 51411, 50856, 52030, 50989, 51400, 50856, 55122, 50973, 51411, 51001, 62390, 54158, 52313, 50989, 51112, 50856, 55149, 50956, 59625, 62417, 52325, 51197, 62530, 65481, 50923, 51133, 54158, 50879, 55524, 60781, 52370, 50293, 51605, 52022, 52379, 50798, 54158, 52410, 51040, 54035, 54158, 54851, 50916, 60095, 52030, 50965, 57594, 55122, 51028, 65544, 57353, 54158, 52313, 50965, 59384, 55149, 50965, 64651, 59384, 52325, 51360, 63254, 58377, 50879, 55524, 58696, 78418, 51115, 51011, 70312, 54158, 52410, 51040, 53834, 54158, 54851, 50989, 56036, 60095, 52030, 51279, 51644, 50305, 50892, 51011, 59540, 63363, 51186, 52057, 50956, 63142, 51568, 50291, 51115, 51415, 77068, 54158, 52313, 51086, 58377, 55149, 50956, 69474, 50795, 51205, 62630, 50802, 51647, 52325, 51324, 51514, 50303, 50893, 51228, 58052, 66458, 51205, 50950, 55524, 51112, 50965, 52530, 50296, 51991, 51019, 52379, 50798, 54158, 52410, 51086, 51480, 50798, 54158, 54851, 50916, 51411, 50856, 52030, 50989, 51377, 50856, 55122, 50973, 51400, 50968, 51400, 50816, 54158, 52313, 50965, 51112, 50856, 55149, 50965, 51346, 50973, 51345, 50856, 52325, 51315, 64233, 62417, 50879, 56178, 51112, 50989, 51227, 51315, 51714, 51019, 54055, 50798, 54158, 52410, 51086, 59554, 54158, 54851, 50956, 51411, 50856, 52030, 50989, 51400, 50856, 55122, 50973, 51411, 51001, 62390, 54158, 52313, 50989, 51112, 50856, 55149, 50956, 51112, 50989, 51227, 50856, 52325, 51197, 62530, 56036, 50806, 51105, 74314, 50879, 55524, 62490, 51442, 50293, 51103, 51228, 77609, 54158, 52410, 51040, 55998, 54158, 54851, 50916, 60095, 52030, 50965, 57594, 55122, 50877, 65631, 50805, 51279, 51141, 51011, 51761, 50816, 54158, 52313, 50916, 59384, 55149, 50877, 69791, 59384, 52325, 51279, 62430, 50905, 51011, 74314, 50879, 55524, 72169, 51455, 50291, 51295, 51415, 77609, 54158, 52410, 51086, 54788, 54158, 65393, 50798, 52038, 50916, 71274, 52504, 54158, 52030, 51324, 51644, 50303, 57594, 50879, 56215, 52125, 50956, 60747, 51073, 51324, 51218, 51415, 51653, 50816, 52319, 56119, 51553, 52313, 51086, 60095, 67636, 52646, 51745, 51456, 52175, 50956, 51227, 50989, 78678, 55680, 51224, 52325, 51324, 70167, 50901, 51326, 54158, 66458, 51326, 50802, 55524, 65481, 52370, 50289, 51364, 51069, 70312, 52319, 52410, 51040, 56473, 54851, 50916 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 8, 5679, 26709, 5466, 4, 20, 30062, 620, 7085, 12280, 642, 6, 9590, 3863, 6, 17691, 28430, 6, 6755, 12547, 6, 8, 326, 5638, 18026, 35810, 561, 10, 5797, 990, 1506, 9, 19448, 34879, 4, 8504, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 4246, 10, 33215, 13931, 9, 163, 119, 6, 83, 6, 274, 10431, 119, 6, 8, 3676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 73877, 70325, 51357, 74159, 74159, 50841, 51678, 50841, 51678, 56933, 51357, 74159, 50841, 51678, 60941, 61534, 50933, 57215, 50933, 50419, 51357, 74159, 50841, 51678, 53223, 51357, 50829, 52091, 50829, 51678, 56856, 53748, 50933, 51357, 50829, 52091, 50829, 51678, 54104, 51357, 50829, 52091, 50829, 51678, 56982, 51357, 50829, 52091, 50829, 51678, 52762, 52650, 50933, 51357, 50835, 52091, 50835, 51678, 68564, 51357, 50835, 52091, 50835, 51678, 55001, 51357, 50835, 52091, 50835, 51678, 60443, 54029, 50933, 50431, 51357, 50835, 52091, 50835, 51678, 52818, 51357, 50835, 52091, 50835, 51678, 59347, 53260, 50933, 51357, 50825, 52091, 50825, 51678, 53439, 51357, 50825, 52091, 50825, 51678, 57514, 51357, 50825, 52091, 50825, 51678, 52742, 53039, 50933, 51357, 50825, 52091, 50825, 51678, 62969, 51357, 50825, 52091, 50825, 51678, 54905, 51357, 50837, 52091, 50837, 51678, 59457, 53260, 50933, 50443, 51357, 50837, 52091, 50837, 51678, 53027, 51357, 50837, 52091, 50837, 51678, 57785, 54029, 50933, 51357, 50837, 52091, 50837, 51678, 54284, 51357, 50863, 52091, 50863, 51678, 57989, 51357, 50863, 52091, 50863, 51678, 52805, 52650, 50933, 51357, 50863, 52091, 50863, 51678, 70738, 51357, 50863, 52091, 50863, 51678, 56782, 51357, 50863, 52091, 50863, 51678, 60535, 53748, 50933, 50455, 51357, 50870, 52091, 50870, 51678, 53553, 51357, 50870, 52091, 50870, 51678, 61010, 57215, 50933, 51357, 50870, 52091, 50870, 51678, 55397, 51357, 50870, 52091, 50870, 51678, 57015, 51357, 50870, 52091, 50870, 51678, 50870, 50799, 53958, 51080, 61534, 50933, 51357, 50891, 52091, 50891, 51678, 50891, 70370, 52188, 60819, 52188, 50416, 51357, 50891, 52091, 50891, 51678, 61252, 51357, 50891, 52091, 50891, 51678, 70637, 57215, 50933, 50419, 51357, 50891, 52091, 50891, 51678, 53738, 51357, 50891, 52091, 50891, 51678, 58640, 53748, 50933, 51357, 50891, 52091, 50891, 51678, 54951, 51357, 50891, 52091, 50891, 51678, 59509, 51357, 50891, 52091, 50891, 51678, 52966, 52650, 50933, 51357, 50891, 52091, 50891, 51678, 74031, 51357, 50891, 52091, 50891, 51678, 57845, 51357, 50891, 52091, 50891, 51678, 62618, 54029, 50933, 50431, 51357, 50891, 52091, 50891, 51678, 53670, 51357, 50891, 52091, 50891, 51678, 59383, 53260, 50933, 51357, 50891, 52091, 50891, 51678, 55799, 51357, 50891, 52091, 50891, 51678, 58286, 51357, 50891, 52091, 50891, 51678, 53115, 52882, 50838, 55039, 50933, 51093, 50891, 52091, 50891, 51701, 76779, 51093, 50891, 52091, 50891, 51701, 57502, 51093, 50891, 52091, 50891, 51701, 67387, 53715, 50933, 50443, 51093, 50891, 52091, 50891, 51701, 53384, 53839, 50838, 51093, 50891, 52091, 50891, 51701, 60402, 53748, 50933, 51093, 50891, 52091, 50891, 51701, 55721, 51093, 50891, 52091, 50891, 51701, 57855, 51093, 50891, 52091, 50891, 51701, 52846, 52203, 50838, 52890, 50933, 51093, 50891, 52091, 50891, 51701, 69909, 51093, 50891, 52091, 50891, 51701, 58207, 51093, 50891, 52091, 50891, 51701, 62476, 52566, 50933, 50455, 51093, 50891, 52091, 50891, 51701, 53556, 52614, 50838, 51093, 50891, 52091, 50891, 51701, 61034, 53260, 50933, 51093, 50891, 52091, 50891, 51701, 56047, 51093, 50891, 52091, 50891, 51701, 56772, 51093, 50891, 52091, 50891, 51701, 50891, 50799, 53958, 51283, 61534, 50933, 51357, 50891, 52091, 50891, 51678, 50891, 50416, 51357, 50891, 52091, 50891, 51678, 61252, 51357, 50891, 52091, 50891, 51678, 70637, 57215, 50933, 50419, 51357, 50891, 52091, 50891, 51678, 53738, 51357, 50891, 52091, 50891, 51678, 58640, 53748, 50933, 51357, 50891, 52091, 50891, 51678, 54951, 51357, 50891, 52091, 50891, 51678, 59509, 51357, 50891, 52091, 50891, 51678, 52966, 52650, 50933, 51357, 50891, 52091, 50891, 51678, 74031, 51357, 50891, 52091, 50891, 51678, 57845, 51357, 50891, 52091, 50891, 51678, 62618, 54029, 50933, 50431, 51357, 50891, 52091, 50891, 51678, 53670, 52203, 51006, 51357, 50891, 52091, 50891, 51678, 59383, 53260, 50933, 51357, 50891, 52091, 50891, 51678, 55799, 51357, 50891, 52091, 50891, 51678, 58286, 51357, 50891, 52091, 50891, 51678, 53115, 53958, 51283, 53039, 50933, 51357, 50891, 52091, 50891, 51678, 76779, 51357, 50891, 52091, 50891, 51678, 57502, 51357, 50891, 52091, 50891, 51678, 67387, 53260, 50933, 50443, 51357, 50891, 52091, 50891, 51678, 53384, 51357, 50891, 52091, 50891, 51678, 60402, 54029, 50933, 51357, 50891, 52091, 50891, 51678, 55721, 51357, 50891, 52091, 50891, 51678, 57855, 51357, 50891, 52091, 50891, 51678, 52846, 52650, 50933, 51357, 50891, 52091, 50891, 51678, 69909, 51357, 50891, 52091, 50891, 51678, 58207, 51357, 50891, 52091, 50891, 51678, 62476, 53748, 50933, 50455, 51357, 50891, 52091, 50891, 51678, 53556, 52203, 51006, 51357, 50891, 52091, 50891, 51678, 61034, 57215, 50933, 51357, 50891, 52091, 50891, 51678, 56047, 51357, 50891, 52091, 50891, 51678, 56772, 51357, 50891, 52091, 50891, 51678, 50891, 50799, 53958, 51283, 61534, 50933, 51357, 50928, 52091, 50891, 51678, 50891, 50416, 51357, 50928, 52091, 50891, 51678, 61252, 51357, 50928, 52091, 50891, 51678, 70637, 57215, 50933, 50419, 51357, 50928, 52091, 50891, 51678, 53738, 51357, 50928, 52091, 50891, 51678, 58640, 53748, 50933, 51357, 50928, 52091, 50891, 51678, 54951, 51357, 50928, 52091, 50891, 51678, 59509, 51357, 50928, 52091, 50891, 51678, 52966, 52650, 50933, 51357, 50928, 52091, 50891, 51678, 74031, 51357, 50928, 52091, 50891, 51678, 57845, 51357, 50928, 52091, 50891, 51678, 62618, 54029, 50933, 50431, 51357, 50928, 52091, 50891, 51678, 53670, 52882, 51006, 51357, 50928, 52091, 50891, 51678, 59383, 53260, 50933, 51357, 50928, 52091, 50891, 51678, 55799, 51357, 50928, 52091, 50891, 51678, 58286, 51357, 50928, 52091, 50891, 51678, 53115, 52203, 50838, 53748, 50933, 51165, 50928, 53496, 50891, 52091, 76779, 51165, 50928, 53496, 50891, 52091, 57502, 51165, 50928, 53496, 50891, 52091, 67387, 53260, 50933, 50443, 51165, 50928, 53496, 50891, 52091, 53384, 52882, 50838, 51165, 50928, 53496, 50891, 52091, 60402, 55802, 50827, 51165, 50928, 53496, 50891, 52091, 55721, 51165, 50928, 53496, 50891, 52091, 57855, 51165, 50928, 53496, 50891, 52091, 52846, 52795, 50838, 51113, 50928, 52233, 50891, 52091, 69909, 51113, 50928, 52233, 50891, 52091, 58207, 51113, 50928, 52233, 50891, 52091, 61733, 51113, 50928, 52233, 50891, 52091, 53556, 52203, 50838, 51113, 50928, 54549, 50891, 52606, 61034, 51113, 50928, 54549, 50891, 52606, 56047, 51113, 50928, 54549, 50891, 52606, 56772, 51113, 50928, 54549, 50891, 52606, 50891, 50799, 52882, 51680, 50697, 50339, 50864, 51088, 50928, 54549, 50891, 52091, 50891, 70370, 52188, 60819, 52188, 50416, 57545, 50864, 51088, 50928, 54549, 50891, 52091, 61252, 55802, 50864, 51088, 50928, 54549, 50891, 52091, 61844, 55554, 50864, 51088, 50928, 54549, 50891, 52091, 53738, 53039, 50864, 51088, 50928, 54549, 50891, 52091, 58640, 53260, 50864, 51088, 50928, 54549, 50891, 52091, 54951, 54029, 50864, 51088, 50928, 54549, 50891, 52091, 59509, 52650, 50864, 51088, 50928, 54549, 50891, 52091, 52966, 55802, 50864, 51093, 50928, 52091, 50891, 52295, 74031, 53647, 50864, 51093, 50928, 52091, 50891, 52295, 57845, 53436, 50864, 51093, 50928, 52091, 50891, 52295, 62000, 53260, 50864, 51093, 50928, 52091, 50891, 52295, 53670, 52566, 50864, 51093, 50928, 52091, 50891, 52295, 59383 ]
[ 0, 250, 15855, 19834, 2125, 4246, 10, 5540, 13305, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 20, 15229, 7630, 6568, 10, 25306, 5466, 6, 29354, 9066, 8, 2933, 4785, 19, 3722, 223, 34693, 6, 2351, 10, 1472, 9, 26545, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 6, 12608, 119, 1176, 406, 6, 163, 6, 8, 12608, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 54733, 63922, 52746, 55659, 50626, 50441, 50625, 50444, 50625, 50447, 50625, 50450, 50625, 50453, 50625, 50456, 50625, 50459, 50625, 57211, 50438, 51232, 57917, 51232, 53594, 51232, 54914, 51232, 52846, 51232, 61362, 51232, 54059, 51232, 59506, 51232, 51004, 75698, 63922, 52746, 55659, 50626, 50441, 50625, 50444, 50625, 50447, 50625, 50450, 50625, 50453, 50625, 50456, 50625, 50459, 50625, 57211, 50438, 51232, 57917, 51232, 53594, 51232, 54914, 51232, 52846, 51232, 61362, 51232, 54059, 51232, 59506, 51232, 51004, 50799, 51512, 50912, 54733, 51079, 51561, 51748, 50417, 51308, 54964, 51512, 50907, 52746, 75741, 51308, 54504, 51512, 59272, 51308, 55100, 51512, 57455, 51308, 54793, 50626, 51512, 58862, 50625, 51308, 54478, 50625, 51512, 54043, 50625, 51308, 52989, 50625, 51512, 59835, 50625, 51308, 54900, 50625, 51512, 54846, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 53728, 51512, 54252, 51308, 52921, 51512, 58519, 51308, 54221, 51512, 53720, 51308, 52788, 51512, 55608, 51308, 54478, 51512, 55854, 51308, 54823, 51512, 62785, 51308, 55162, 51512, 57467, 51308, 50907, 50799, 51777, 50912, 54733, 51079, 51512, 51748, 50417, 51639, 54964, 51777, 50907, 52746, 75741, 51639, 54504, 51777, 59272, 51639, 55100, 51777, 57455, 51639, 53269, 50626, 51777, 58862, 50625, 51639, 53086, 50625, 51777, 54043, 50625, 51639, 52989, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 53728, 51777, 54252, 51639, 53881, 51777, 58519, 51639, 52739, 51777, 53720, 51639, 53269, 51777, 58862, 51639, 54947, 51777, 58068, 51639, 54626, 51777, 62375, 51639, 55346, 51777, 62065, 51639, 50984, 75698, 51079, 52070, 51314, 54513, 67568, 52746, 55752, 51512, 50907, 51561, 52528, 50429, 51308, 54661, 51512, 56857, 51308, 54793, 50626, 51512, 50912, 51429, 53849, 52461, 53413, 50441, 50625, 51308, 54478, 50625, 51512, 55854, 50625, 51308, 52989, 50625, 51512, 55371, 50625, 51308, 54900, 50625, 51512, 58223, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 53728, 51512, 54252, 51308, 52921, 51512, 58519, 51308, 54221, 51512, 53720, 51308, 52788, 51512, 55608, 51308, 54478, 51512, 55854, 51308, 54823, 51512, 62785, 51308, 55162, 51512, 57467, 51308, 50907, 50799, 51777, 50912, 54733, 51079, 51512, 51748, 50417, 51639, 54964, 51777, 50907, 52746, 75741, 51639, 54504, 51777, 59272, 51639, 55100, 51777, 57455, 51639, 53269, 50626, 51777, 58862, 50625, 51639, 53086, 50625, 51777, 54043, 50625, 51639, 52989, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 53728, 51777, 54252, 51639, 53881, 51777, 58519, 51639, 52739, 51777, 53720, 51639, 53269, 51777, 58862, 51639, 54947, 51777, 58068, 51639, 54626, 51777, 62375, 51639, 55346, 51777, 62065, 51639, 50984, 75698, 51079, 52070, 51314, 54513, 67568, 52746, 55752, 51512, 50907, 51561, 52528, 50429, 51308, 54661, 51512, 56857, 51308, 54793, 50626, 51512, 50912, 51429, 53849, 52461, 53413, 50441, 50625, 51308, 54478, 50625, 51512, 55854, 50625, 51308, 52989, 50625, 51512, 55371, 50625, 51308, 54900, 50625, 51512, 58223, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 53728, 51512, 54252, 51308, 53881, 51512, 58519, 51308, 52739, 51512, 53720, 51308, 53269, 51512, 58862, 51308, 54947, 51512, 58068, 51308, 54626, 51512, 62375, 51308, 55346, 51512, 62065, 51308, 50984, 75698, 51079, 51777, 52829, 52929, 52337, 50420, 52746, 55752, 51777, 50907, 51512, 52528, 50429, 51639, 54661, 51777, 56857, 51639, 54793, 50626, 51777, 60887, 50625, 51639, 54478, 50625, 51777, 55854, 50625, 51639, 52989, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 54351, 51777, 54252, 51639, 52921, 51777, 58519, 51639, 54221, 51777, 56149, 51639, 52788, 51777, 55608, 51639, 54478, 51777, 55854, 51639, 53567, 51777, 62785, 51639, 55162, 51777, 57467, 51639, 50907, 50799, 51512, 50912, 54733, 51079, 51561, 51748, 50417, 51308, 54964, 51512, 50907, 52746, 74525, 51308, 54504, 51512, 60137, 51308, 55100, 51512, 55270, 51308, 53269, 50626, 51512, 58862, 50625, 51308, 53086, 50625, 51512, 54043, 50625, 51308, 54385, 50625, 51512, 59835, 50625, 51308, 53820, 50625, 51512, 54846, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 54351, 51512, 54252, 51308, 52921, 51512, 58519, 51308, 54221, 51512, 56149, 51308, 52788, 51512, 55608, 51308, 54478, 51512, 55854, 51308, 53567, 51512, 62785, 51308, 55162, 51512, 57467, 51308, 50907, 50799, 51777, 50912, 54733, 51079, 51512, 51748, 50417, 51639, 54964, 51777, 50907, 52746, 74525, 51639, 54504, 51777, 60137, 51639, 55100, 51777, 55270, 51639, 53269, 50626, 51777, 58862, 50625, 51639, 53086, 50625, 51777, 54043, 50625, 51639, 54385, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 53728, 51777, 54252, 51639, 53881, 51777, 58519, 51639, 52739, 51777, 53720, 51639, 53269, 51777, 58862, 51639, 54947, 51777, 58068, 51639, 54626, 51777, 62375, 51639, 55346, 51777, 62065, 51639, 50984, 78323, 51079, 51512, 51108, 52381, 60115, 52477, 55752, 51777, 50907, 51489, 51330, 52778, 50995, 51494, 52528, 51512, 52528, 50429, 51639, 54661, 51777, 56857, 51639, 54793, 50626, 51777, 50912, 51639, 51108, 53629, 74244, 50625, 51639, 54478, 50625, 51777, 55854, 50625, 51639, 52989, 50625, 51777, 50827, 51429, 51330, 52461, 73959, 50625, 51639, 54900, 50625, 51777, 58223, 50625, 51639, 50822, 57211, 51777, 50810, 51494, 51748, 51512, 51748, 51308, 51671, 51948, 51445, 50417, 51639, 53728, 51777, 54252, 51639, 52921, 51777, 58519, 51639, 54221, 51777, 53720, 51639, 52788, 51777, 58862, 51639, 54478, 51777, 55854, 51639, 54823, 51777, 62785, 51639, 55346, 51777, 57467, 51639, 50907, 50799, 52070, 51252, 53646, 51079, 51429, 51748, 51777, 51748, 50417, 52381, 54964, 52070, 50907, 52477, 74525, 52381, 54504, 52070, 60137, 52381, 55100, 52070, 55270, 52381, 53269, 50626, 52070, 58862, 50625, 52381, 53086, 50625, 52070, 54043, 50625, 52381, 54385, 50625, 52070, 59835, 50625, 52381, 54900, 50625, 52070, 54846, 50625, 52381, 50822, 57211, 74828, 51429, 51748, 51777, 51748, 50417, 52381, 53728, 52070, 54252, 52381, 53881, 52070, 58519, 52381, 52739, 52070, 53720, 52381, 53269, 52070, 58862, 52381, 54947, 52070, 58068, 52381, 54626, 52070, 62375, 52381, 55346, 52070, 62065, 52381, 50984, 78323, 51079, 51512, 51108, 52381, 60115, 52477, 55752, 51777, 50907, 51489, 51330, 52778, 50995, 51494, 52528, 51512, 52528, 50429, 51639, 54661, 51777, 56857, 51639, 54793, 50626, 51777, 50912, 51639, 51108, 53629, 74244, 50625, 51639, 54478, 50625, 51777, 55854, 50625, 51639, 52989, 50625, 51777, 50874, 51429, 51330, 52461, 73959, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51494, 51748, 51512, 51748, 51308, 51671, 51948, 51445, 50417, 51639, 54351, 51777, 54252, 51639, 52921, 51777, 58519, 51639, 54221, 51777, 53720, 51639, 52788, 51777, 55608, 51639, 54478, 51777, 55854, 51639, 54823, 51777, 62785, 51639, 55346 ]
[ 0, 250, 20902, 11057, 2125, 19, 10, 1619, 16464, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 1076, 560, 8, 2724, 368, 31365, 6673, 6909, 6, 2800, 30, 13305, 6, 21979, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 10930, 21819, 10, 33215, 13931, 9, 211, 119, 6, 3676, 406, 6, 8, 83, 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 ]	[ 63515, 50903, 76660, 51003, 60859, 50932, 51768, 56389, 50903, 50932, 50446, 51579, 51033, 52060, 54787, 51866, 50910, 52178, 51757, 52067, 51030, 51553, 72982, 51702, 50977, 52148, 77930, 52336, 51407, 51206, 78412, 51483, 50459, 52384, 51675, 51866, 51103, 52178, 51077, 56020, 52376, 50882, 51652, 51045, 54512, 50808, 53628, 53373, 54818, 51831, 51215, 51667, 51653, 53880, 51116, 52394, 51238, 50816, 50893, 50434, 51493, 51033, 51652, 50948, 51721, 50823, 53628, 50865, 52228, 56638, 56966, 58166, 50821, 52058, 50952, 51866, 50859, 52178, 50858, 51570, 70089, 52067, 61723, 51702, 50855, 52148, 53886, 52336, 51021, 50451, 52384, 51101, 51866, 50901, 52178, 78442, 52629, 52827, 51335, 53793, 51968, 51047, 51702, 51790, 52194, 51127, 56020, 52770, 50858, 51667, 51045, 53880, 50800, 52394, 52390, 54392, 51831, 51158, 51721, 51427, 53628, 50991, 52228, 51238, 50816, 77121, 51560, 50821, 51652, 50859, 51643, 50823, 52394, 50865, 52608, 58474, 53660, 56469, 50858, 51968, 50800, 52148, 50800, 52194, 50859, 51570, 51014, 50446, 52336, 61723, 51947, 50812, 51702, 50833, 52178, 55620, 52629, 50936, 50451, 52058, 50866, 51866, 50937, 52194, 73246, 53954, 51407, 51206, 57521, 51968, 51790, 52377, 51591, 52488, 51358, 56020, 50816, 50962, 51694, 57083, 52457, 50890, 51831, 50811, 56478, 50830, 53628, 63179, 59618, 56381, 59306, 51522, 51427, 51831, 50865, 51721, 51021, 53628, 50910, 52228, 50938, 50442, 51652, 50830, 51643, 51021, 52394, 50938, 51978, 64731, 51721, 50865, 51633, 50921, 52228, 50897, 51979, 53484, 51522, 51021, 51643, 51116, 51993, 51354, 51978, 50991, 52172, 50967, 53954, 50802, 52234, 51106, 55968, 55456, 58974, 56381, 50923, 51702, 50873, 52377, 50805, 52488, 71478, 51273, 50894, 51633, 50952, 54761, 50803, 52891, 50830, 52172, 50865, 53954, 56429, 56106, 51740, 56573, 56167, 51033, 52698, 50910, 52148, 50910, 52488, 50952, 55669, 57257, 50801, 70829, 50800, 53924, 52841, 51553, 61094, 51553, 50822, 52320, 62691, 62371, 51886, 51110, 63828, 55435, 51318, 50871, 51318, 50861, 51318, 50902, 51318, 51098, 51290, 51206, 53507, 70838, 51886, 53049, 51216, 51227, 51673, 54068, 55413, 50433, 51827, 50942, 54127, 57455, 78679, 57956, 58882, 50902, 55467, 51261, 51157, 51686, 64390, 55484, 54988, 51389, 50991, 51565, 69829, 55413, 54820, 57467, 51098, 50910, 53975, 55332, 56943, 58903, 50838, 51216, 51112, 51789, 51177, 63404, 54856, 51216, 51159, 51565, 52839, 51740, 57181, 51560, 50952, 52083, 60095, 54584, 78120, 50989, 51253, 73750, 50902, 51253, 51273, 56053, 54988, 50989, 51142, 51705, 64182, 55413, 50454, 50876, 51174, 50458, 51273, 50830, 51596, 69238, 56573, 50902, 50904, 55435, 51627, 50871, 51627, 50861, 51627, 50902, 51627, 75113, 63404, 70838, 54128, 52580, 51493, 50943, 51686, 54042, 55413, 50434, 51565, 55588, 55484, 54793, 50899, 51627, 50871, 51627, 50861, 51627, 50906, 51627, 51560, 71822, 70040, 76497, 51757, 51868, 55859, 51740, 59697, 52161, 51267, 54820, 56573, 50956, 51172, 70254, 67939, 50951, 51172, 50799, 53691, 50940, 63404, 50882, 50418, 52078, 60853, 51150, 61965, 52921, 51705, 50967, 51886, 54042, 56757, 50434, 51493, 50910, 51673, 58866, 51140, 74741, 55484, 57674, 50956, 51380, 50877, 51380, 70179, 50931, 51380, 57411, 60333, 51140, 72705, 55413, 50458, 52171, 51124, 50856, 57467, 50899, 51172, 73306, 69541, 67939, 50799, 54021, 68067, 50882, 50418, 51793, 60853, 51261, 50897, 52171, 52654, 51522, 50967, 52480, 54042, 55413, 50434, 51705, 50910, 51886, 54566, 55484, 54793, 51098, 51345, 51673, 79525, 70040, 53636, 50447, 50871, 51380, 50906, 51380, 50902, 51380, 50951, 77072, 51098, 51048, 51827, 71162, 55413, 54124, 55484, 50851, 56178, 57292, 55512, 57945, 50838, 51150, 50967, 51565, 60095, 77287, 51886, 65290, 51461, 51620, 51705, 51110, 51673, 52808, 56757, 50434, 52083, 67526, 55484, 55270, 50956, 51080, 50989, 75656, 66743, 51080, 51140, 51013, 56797, 70040, 51886, 55590, 57411, 60333, 51140, 51212, 51673, 54042, 55413, 50458, 51606, 51790, 50804, 56897, 50907, 54204, 56053, 50882, 56400, 54252, 50899, 51380, 50906, 51380, 50931, 78804, 51493, 55637, 51740, 52262, 50899, 51183, 72684, 50906, 51183, 50931, 64164, 51560, 52496, 55484, 70040, 51673, 58332, 51261, 51016, 51827, 56522, 55413, 50458, 52161, 51100, 50856, 57467, 50900, 51183, 50956, 51183, 72684, 50877, 51183, 54389, 51221, 63404, 57257, 51827, 54172, 53507, 55054, 52419, 59386, 51216, 51212, 51686, 56895, 59662, 51596, 73908, 55484, 51724, 78120, 50989, 51253, 73750, 50902, 51253, 51273, 51346, 53360, 52258, 53526, 52843, 50989, 51142, 51273, 61136, 61481, 50876, 51174, 50458, 51886, 51255, 50856, 56573, 50902, 50904, 51098, 51573, 52058, 51662, 55435, 51318, 50871, 51318, 50861, 51318, 50902, 51318, 52234, 52054, 55836, 70838, 51886, 54172, 52921, 51216, 51227, 51673, 54265, 55413, 50433, 51827, 50866, 54127, 57455, 78679, 57956, 58882, 50902, 55467, 51261, 51157, 51686, 66644, 55484, 50882, 53526, 54626, 51389, 50991, 51565, 67141, 55413, 50451, 51968, 50874, 54820, 57467, 51098, 50910, 53975, 51253, 69459, 73750, 50968, 51253, 51216, 51112, 51789, 51043, 63404, 65108, 52384, 51310, 56400, 52921, 77556, 51216, 51110, 51565, 69829, 56757, 50434, 52083, 68068, 50900, 79199, 51183, 50989, 51183, 50877, 51183, 51273, 51013, 52698, 50844, 53550, 55484, 70040, 51431, 50812, 51641, 50808, 52314, 50800, 52336, 59557, 53668, 80218, 60333, 51273, 72705, 55413, 50458, 51596, 69238, 57467, 50997, 51183, 50871, 51183, 72684, 50902, 51183, 52148, 50981, 53458, 51221, 63404, 57625, 54128, 59386, 51098, 51212, 51686, 52839, 55413, 50427, 52058, 51101, 50434, 51565, 56873, 55484, 57455, 51866, 55467, 50899, 51627, 50861, 51627, 50906, 51627, 50931, 51627, 51560, 56053, 70040, 51723, 50910, 51485, 50910, 51509, 50884, 51579, 54698, 53688, 51868, 55637, 51740, 57450, 52161, 69238, 56573, 51866, 50915, 56178, 51562, 50861, 51562, 50906, 51562, 50876, 51562, 51150, 51221, 58199, 57625, 51461, 59386, 51150, 51212, 51886, 54042, 56757, 50427, 51947, 67632, 51673, 64267, 56857, 51702, 55467, 50956, 56943, 55512, 77424, 51140, 51346, 50856, 70040, 51431, 50830, 51641, 50910, 51579, 50952, 52067, 62851, 54218, 52848, 51140, 52959, 55413, 50458, 52171, 51255, 50816, 51116, 51335, 53672, 55921, 50851, 56290, 71428, 50899, 51419, 50877, 51419, 50876, 51419, 50931, 51419, 50799, 54021, 50940, 73522, 50882, 50418, 51793, 60853, 51261, 50897, 52171, 50844, 56290, 52910, 50899, 51142, 51522, 50967, 52480, 52839, 55413, 50430, 50877, 51174, 50433, 51886, 65053, 51705, 56776, 55484, 57455, 50876, 54728, 67104, 69459, 72689, 50902, 51253, 51098, 51112, 51673, 51178, 50856, 50882, 57696, 51173, 50446, 50852, 52843, 69119, 51098, 51159, 51827, 66741, 55413, 71022, 51091, 50458, 51868, 58063, 55484, 56573, 50956, 67835, 75489, 66743, 51080, 53788, 50991, 51565, 55937, 61605, 77287, 51886, 63980, 51461, 50812, 60477, 51620, 74596, 51673, 52839, 51740, 50810, 57696, 78344, 52083, 64211, 55603, 53507, 50907, 71022, 50967, 50435, 50956, 51080, 50989, 75656, 66743, 51080, 60116, 51345, 50856, 70040, 51886, 50925, 60119, 52741, 51140, 51048, 51673, 56522, 55413, 60081, 71295, 51606, 51790, 62373, 71022, 51623, 50459, 50899, 51183, 50871, 51183, 50906, 51183, 54204, 50807, 63404 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 1575, 10, 13305, 6, 6755, 12547, 6, 24896, 6, 8, 2352, 6757, 4, 8504, 11, 211, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 8728, 5466, 4, 20, 40286, 211, 8, 272, 14417, 1328, 6, 1271, 7, 63, 3722, 8, 5679, 26709, 13408, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50902, 51364, 51699, 73660, 52065, 50981, 51251, 57547, 50968, 55122, 50902, 50879, 52065, 50981, 51251, 59242, 50973, 55149, 50877, 50879, 52065, 50981, 51251, 58667, 50861, 50879, 56807, 51551, 51699, 73660, 51299, 50981, 51301, 56692, 50968, 51013, 51299, 50981, 51301, 57105, 51299, 50981, 51301, 50981, 55331, 51013, 51699, 73660, 50973, 51013, 52065, 50981, 51251, 56692, 50973, 51364, 52065, 50981, 51251, 57105, 52065, 50981, 51251, 58667, 50861, 50879, 54852, 52266, 53148, 73660, 51883, 50981, 51299, 50981, 51251, 56692, 51883, 50981, 51299, 50981, 51251, 57105, 51883, 50981, 51299, 50981, 51251, 50981, 55331, 51364, 51699, 73660, 52065, 50981, 51251, 57547, 50968, 55122, 50902, 50879, 52065, 50981, 51251, 59242, 50973, 55149, 50877, 50879, 52065, 50981, 51251, 58667, 50861, 50879, 56807, 51496, 52143, 73660, 51699, 50981, 51299, 57547, 50999, 55122, 50951, 50879, 51699, 50981, 51299, 59242, 50968, 55149, 50902, 50879, 51699, 50981, 51299, 58667, 50876, 50879, 57844, 50879, 52371, 51293, 54569, 54851, 50902, 54729, 50899, 55122, 50877, 57253, 50879, 55528, 51145, 55989, 55149, 50989, 58696, 55416, 50900, 50879, 57542, 52266, 50861, 52266, 51699, 50981, 52065, 73660, 52371, 56509, 52776, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 52776, 51677, 51699, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 55069, 52130, 50805, 71411, 50889, 52776, 51677, 51699, 73660, 53122, 62525, 57631, 66154, 53912, 53122, 51141, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 55069, 52682, 50805, 77435, 51933, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 52776, 51677, 51699, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 55528, 51677, 52371, 51677, 50420, 51967, 52483, 53122, 57260, 57631, 66154, 55112, 52682, 52446, 53122, 50889, 55528, 51145, 52371, 77307, 52521, 62525, 68036, 58835, 50889, 77723, 51933, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 52776, 51677, 51699, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 53122, 52446, 53122, 62525, 57631, 66154, 55082, 52682, 62525, 57631, 66154, 50889, 77435, 51933, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 55244, 51677, 52143, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 55528, 51145, 52371, 67568, 51967, 52483, 53122, 57260, 57631, 66154, 55112, 52682, 52446, 53122, 50889, 55528, 51145, 52371, 77307, 52521, 62525, 68036, 58835, 50889, 77723, 51933, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 50889, 71802, 51077, 56968, 51077, 79721, 50876, 51077, 50968, 51077, 55244, 51145, 52143, 64488, 53058, 51141, 54304, 51141, 50916, 51077, 79721, 50876, 51077, 55244, 51145, 52143, 51145, 50456, 52130, 50805, 54391, 50805, 71411, 51336, 57255, 51077, 50899, 51538, 50861, 51538, 50973, 51538, 52776, 51677, 51699, 51677, 50438, 53122, 50889, 54602, 50889, 77630, 50889, 54391, 50889, 52776, 51677, 51699, 73660, 51967, 50889, 57255, 62525, 57631, 66154, 53912, 53122, 51141, 54602, 51141, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 77435, 51933, 57719, 51538, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 57255, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 50805, 54391, 52446, 51967, 50805, 57255, 57260, 57631, 66154, 55480, 53122, 50805, 54602, 52596, 52521, 50805, 57719, 57260, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 71802, 51336, 56968, 51077, 55244, 51677, 52143, 51677, 56248, 57631, 58835, 53912, 52130, 50889, 54391, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 57255, 50805, 55528, 51145, 52371, 67568, 51967, 50805, 57255, 52483, 53122, 50805, 54602, 57260, 57631, 66154, 55112, 52682, 50805, 54602, 52446, 53122, 50889, 54304, 50889, 55528, 51145, 52371, 77307, 52521, 50889, 54391, 62525, 68036, 58835, 50889, 77723, 51933, 57255, 51538, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 50889, 71802, 51077, 56968, 51077, 79721, 50876, 51077, 50968, 51077, 55244, 51145, 52143, 64488, 53058, 51141, 54304, 51141, 50916, 51077, 79721, 50876, 51077, 55244, 51145, 52143, 51145, 50456, 52130, 50805, 54391, 50805, 71411, 51336, 57255, 51077, 50899, 51538, 50861, 51538, 50973, 51538, 52776, 51677, 51699, 51677, 50438, 53122, 50889, 54602, 50889, 77630, 50889, 54391, 50889, 52776, 51677, 51699, 73660, 51967, 50889, 57255, 62525, 57631, 66154, 53912, 53122, 51141, 54602, 51141, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 77435, 51933, 57719, 51538, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 57255, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 50805, 54391, 52446, 51967, 50805, 57255, 57260, 57631, 66154, 55480, 53122, 50805, 54602, 52596, 52521, 50805, 57719, 57260, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 71802, 51336, 56968, 51077, 55244, 51677, 52143, 51677, 56248, 57631, 58835, 53912, 52130, 50889, 54391, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 57255, 50805, 55528, 51145, 52371, 67568, 51967, 50805, 57255, 52483, 53122, 50805, 54602, 57260, 57631, 66154, 55112, 52682, 50805, 54602, 52446, 53122, 50889, 54304, 50889, 55528, 51145, 52371, 77307, 52521, 50889, 54391, 62525, 68036, 58835, 50889, 77723, 51933, 57255, 51538, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 50889, 55331, 51364, 51699, 73660, 52065, 50981, 51251, 57547, 50968, 55122, 50902, 50879, 52065, 50981, 51251, 59242, 50973, 55149, 50877, 50879, 52065, 50981, 51251, 58667, 50861, 50879, 56807, 51496, 52143, 73660, 51699, 50981, 51299, 57547, 50999, 55122, 50951, 50879, 51699, 50981, 51299, 59242, 51114, 55149, 50902, 50879, 51699, 50981, 51299, 58667, 50876, 50879, 57844, 50879, 52371, 51293, 54569, 54851, 50902, 54729, 50899, 55122, 50877, 57253, 50879, 55528, 51145, 55989, 55149 ]
[ 0, 713, 20425, 5175, 2214, 11, 83, 538, 1575, 41, 81, 9756, 8669, 6, 13305, 6, 20535, 2810, 6, 6755, 12547, 6, 8, 38668, 22052, 4, 590, 10, 20889, 9, 8325, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 15352, 30054, 6, 980, 219, 6, 8, 3366, 219, 5466, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 6, 211, 119, 1176, 406, 6, 8, 381, 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 ]	[ 56236, 50796, 50796, 50444, 53134, 51798, 54133, 55416, 52751, 50879, 50799, 52452, 51364, 51263, 50865, 65033, 51808, 50918, 51669, 50918, 53335, 51336, 51284, 52720, 50791, 50809, 55464, 52147, 52582, 51103, 52252, 51103, 52009, 66526, 51263, 50829, 51245, 50849, 51746, 50873, 51478, 50873, 53884, 50423, 51263, 52762, 51263, 50865, 51195, 52217, 52359, 52452, 50795, 51263, 50829, 51195, 52217, 57869, 51263, 52766, 53190, 51141, 51200, 50865, 77492, 80168, 52232, 50873, 51440, 51141, 52361, 50983, 52043, 76909, 50809, 55500, 53577, 52091, 51189, 51701, 51189, 52736, 69279, 51200, 50829, 51729, 52217, 57291, 51200, 52802, 51200, 50865, 51729, 52217, 52485, 53190, 50807, 51823, 50849, 80168, 52232, 50873, 51969, 51048, 51943, 51048, 51440, 51077, 52361, 50918, 52043, 50918, 53884, 63827, 52147, 52091, 51103, 51701, 51103, 52736, 51103, 50799, 51729, 52217, 52628, 52452, 50795, 51969, 50829, 51729, 52217, 57559, 51969, 52762, 53190, 50795, 51969, 50865, 51729, 52217, 52359, 53134, 74493, 50849, 51823, 50873, 51746, 50873, 52484, 51048, 51969, 51048, 51440, 51623, 51669, 51358, 53335, 51358, 53884, 54549, 55586, 52582, 51591, 51701, 51591, 52009, 80179, 51545, 52217, 52510, 53134, 50805, 52484, 50829, 77586, 51823, 50873, 51746, 50873, 53884, 50447, 52484, 52802, 54133, 50879, 52484, 50865, 51545, 52217, 52485, 52751, 50879, 52484, 50829, 73194, 51823, 50813, 51746, 55476, 57490, 52484, 50829, 73194, 51823, 50813, 74465, 50799, 52452, 51364, 73194, 72444, 74465, 51263, 50865, 51808, 50918, 51669, 50918, 53335, 77229, 50809, 55464, 52147, 52582, 51103, 52252, 51103, 52009, 66526, 51263, 50865, 77586, 66011, 51746, 50873, 53884, 50426, 51263, 50865, 51545, 52217, 52359, 52452, 50795, 51263, 50829, 51545, 52217, 57869, 51263, 52766, 52751, 51013, 51200, 50865, 51943, 50849, 78903, 80168, 51440, 51141, 52361, 50983, 52043, 76909, 50809, 55500, 53577, 52091, 51189, 51701, 51189, 52736, 69279, 51200, 50829, 51265, 52217, 57291, 51200, 52802, 52452, 56005, 50865, 51265, 52217, 52485, 52751, 51013, 77586, 51823, 50873, 80168, 51409, 51048, 51200, 51048, 51440, 51157, 52361, 51048, 52043, 51048, 53884, 61372, 52503, 52016, 51307, 52582, 51307, 51701, 51307, 52736, 51159, 50799, 51265, 52217, 52628, 54133, 50893, 51409, 50829, 68541, 51440, 50938, 51669, 50865, 53335, 53710, 50904, 52009, 78768, 51409, 52762, 54133, 51356, 51409, 50865, 68541, 51440, 51538, 51669, 51161, 53335, 65156, 50809, 52009, 51486, 50432, 51409, 50829, 77586, 51823, 50873, 80168, 51284, 57948, 56788, 51409, 52766, 51409, 50829, 68541, 51733, 64003, 54790, 51409, 53162, 51188, 50865, 77586, 51823, 50873, 51323, 54068, 54208, 51409, 50865, 68541, 51384, 64003, 52485, 52408, 50805, 73194, 51823, 50813, 64895, 51409, 59553, 57490, 73194, 51823, 50813, 64895, 50799, 53134, 50889, 51263, 50865, 51188, 50865, 65033, 51808, 50983, 51669, 50983, 53335, 51364, 51284, 53487, 50791, 50809, 55464, 53577, 52582, 51189, 52252, 51189, 52009, 70506, 51263, 50829, 51245, 50849, 51746, 50873, 51478, 54068, 55081, 51263, 52762, 52452, 50879, 51263, 50865, 51195, 52217, 52359, 53190, 50918, 51200, 50865, 51404, 50865, 65033, 51440, 51077, 52361, 50918, 52043, 50918, 53884, 55500, 52147, 52091, 51103, 51701, 51103, 52736, 64050, 51200, 50829, 77492, 80168, 52232, 54068, 54790, 51200, 53162, 51200, 50865, 51729, 52217, 54915, 51200, 50865, 51729, 52217, 52485, 53190, 50795, 51969, 50865, 51943, 50865, 51823, 50849, 80168, 52232, 50873, 51440, 51077, 52361, 50918, 52043, 50918, 53884, 63827, 52147, 52091, 51103, 51701, 51103, 52736, 51103, 50799, 53190, 51013, 51969, 50829, 51729, 52217, 54745, 51969, 53203, 51969, 50865, 51729, 50836, 51558, 50905, 53884, 50426, 52751, 50879, 51969, 50865, 51729, 50836, 51905, 54265, 52359, 52452, 51896, 52484, 50865, 51969, 50865, 77586, 51823, 50873, 51746, 50873, 51440, 51623, 51669, 51358, 53335, 51358, 51558, 51803, 53884, 54549, 55586, 52582, 51591, 51701, 51591, 52009, 80179, 52484, 50829, 51545, 52217, 54790, 52484, 53162, 52484, 50865, 77586, 51823, 50873, 51746, 50873, 53884, 50450, 52484, 50865, 51545, 52217, 52485, 52484, 50829, 73194, 51823, 50813, 51746, 55476, 57490, 52484, 50829, 73194, 51823, 50813, 74465, 50799, 52452, 51336, 73194, 72444, 74465, 51263, 50865, 51188, 50865, 51808, 50918, 51669, 50918, 53335, 51336, 51558, 72213, 54500, 55464, 52147, 52582, 51103, 52252, 51103, 52009, 66526, 51263, 50829, 77586, 66011, 51746, 50873, 53884, 50423, 51263, 52762, 51263, 50865, 51545, 55153, 53860, 51263, 50829, 51545, 55310, 51263, 52766, 53190, 51013, 51200, 50865, 51404, 50865, 51943, 50849, 78903, 80168, 51440, 51141, 52361, 50983, 52043, 51364, 51284, 51318, 51905, 51318, 61558, 50813, 55500, 53577, 52091, 51189, 51701, 51189, 52736, 69279, 51200, 50829, 51265, 52217, 57291, 51200, 52802, 53134, 56005, 50865, 51265, 55153, 54481, 53134, 53363, 77586, 51823, 50873, 51746, 50873, 52484, 51048, 51944, 51264, 51808, 51036, 51669, 51036, 51558, 53487, 51384, 53487, 61558, 50904, 54549, 52503, 52016, 51307, 52582, 51307, 52252, 51307, 50799, 51545, 52217, 52628, 52484, 50865, 77586, 51823, 50873, 51746, 50873, 51248, 53183, 52524, 52484, 50865, 51545, 50380, 53183, 55702, 53860, 52484, 50865, 77586, 51823, 50873, 51746, 50873, 51326, 55064, 54077, 52484, 50865, 51545, 50380, 53183, 52716, 54434, 51910, 51310, 52484, 50865, 77586, 51823, 50873, 51823, 50805, 51746, 62617, 50668, 50280, 59433, 50668, 50280, 52800, 52484, 50865, 51323, 50879, 51545, 50836, 50668, 50280, 55726, 50668, 50280, 53211, 52484, 50865, 77586, 51823, 50873, 51823, 50805, 51746, 55732, 68581, 50809, 59373, 50924, 51478, 50893, 51499, 50983, 51823, 50983, 51188, 51189, 51823, 51218, 51746, 51218, 52578, 50983, 53170, 50983, 52991, 50983, 51808, 51048, 51669, 51048, 53335, 59569, 51421, 57479, 50809, 54549, 55812, 52582, 51115, 51701, 51115, 52009, 71215, 51684, 50865, 52232, 65207, 54317, 52458, 50865, 51323, 50879, 51808, 51157, 51669, 51048, 53335, 63677, 50809, 50668, 50280, 52810, 51640, 51048, 51969, 50865, 51943, 50865, 51943, 50849, 78903, 80168, 51404, 55157, 50809, 51248, 52526, 50809, 63827, 53055, 52091, 51047, 51701, 51047, 52736, 51047, 51570, 52510, 51181, 51048, 51409, 50865, 51200, 50865, 51943, 50849, 78903, 80168, 51888, 50865, 52002, 50865, 54556, 50865, 51440, 50938, 52361, 50865, 52043, 53710, 54915, 51323, 53417, 50809, 50668, 50280, 53211, 51374, 51048, 51580, 51048, 51499, 51048, 51823, 66544, 51103, 51188, 51127, 51245, 51127, 51648, 50918, 51776, 50918, 53170, 50918, 51434, 51077, 51808, 50918, 51669, 54805, 51421, 50904, 67348, 53055, 51678, 51047, 52252, 51047, 52009, 51047, 53028, 52628, 51374, 50865, 51409, 50865, 51200, 50865, 51404, 51654, 51421, 54317, 51640, 50865, 51969, 50983, 51943, 50983, 51823, 59770, 50809, 50668, 50280, 52810, 51349, 50967, 51188, 50914, 51245, 50943, 51323, 50943, 51648, 50800, 51888, 50800, 52002, 50800, 51434, 50938, 51440, 50865, 51669, 54070, 51421, 50904, 55500, 55812, 52091, 51115, 51678, 51115, 52009, 66744, 51648, 51048, 51888, 51048, 52002, 51048, 51440, 51157, 51669, 51048, 52043, 68760, 52510, 51349, 50865, 51188, 50820, 51245, 50820, 51323, 50820, 51969, 50865, 51943, 54070, 50809, 51248, 53183, 53401, 51188 ]
[ 0, 250, 20902, 8, 15352, 30054, 3495, 2214, 19, 11057, 16882, 6, 4246, 10, 11577, 11739, 9, 13305, 6, 21979, 9590, 6, 23338, 33518, 1264, 6, 32909, 6, 8, 21072, 6, 70, 8216, 7, 63, 14899, 8, 20425, 6711, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 3185, 30, 10, 182, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 6, 19, 5, 33215, 16739, 9, 1918, 406, 8, 3676, 1271, 7, 63, 32076, 8, 8728, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 50796, 53523, 50910, 68452, 51214, 51233, 51026, 51400, 73866, 65789, 54123, 50899, 60097, 64529, 51026, 52848, 50899, 66332, 64603, 51026, 50914, 54206, 57094, 51514, 50292, 51221, 53523, 50805, 51120, 51111, 51026, 51111, 50871, 51177, 55203, 50897, 68452, 51214, 51233, 51026, 51377, 67655, 77798, 54385, 50899, 61077, 66585, 51026, 50800, 54206, 51077, 72683, 50422, 51026, 52450, 51085, 53912, 51120, 55441, 50900, 50897, 57956, 51214, 51043, 51026, 51400, 50458, 50861, 67954, 50851, 54206, 61077, 68684, 51026, 53049, 50899, 51215, 50861, 51175, 50434, 51026, 50914, 55898, 58263, 51514, 50292, 51116, 55895, 51519, 50294, 51100, 51026, 51100, 76518, 53975, 50897, 62676, 51214, 51043, 51026, 51377, 64309, 65789, 50874, 53337, 51194, 79270, 50434, 51026, 51724, 50899, 51110, 50861, 51194, 50446, 51026, 51757, 51040, 68382, 50925, 50861, 51377, 51085, 50915, 50458, 50997, 56369, 50884, 54955, 51377, 51120, 50981, 51068, 52905, 51098, 51295, 50900, 50897, 57956, 51214, 51233, 51026, 51025, 58706, 57535, 50861, 65789, 54965, 53116, 50899, 61077, 59606, 57854, 51098, 51218, 51026, 64154, 53083, 50899, 51095, 50861, 51215, 50458, 51026, 55560, 50841, 53788, 64763, 58263, 51458, 50292, 69362, 52639, 51389, 65065, 51458, 50294, 51111, 51026, 51111, 50871, 70232, 58608, 51068, 53116, 51098, 51295, 50900, 50910, 62676, 51214, 51194, 51026, 51377, 54768, 59673, 50861, 65789, 54553, 53083, 50899, 61077, 59392, 58323, 51098, 51295, 51026, 53984, 50841, 54206, 51103, 72683, 50422, 51026, 52764, 52870, 51150, 51734, 50292, 55506, 52950, 51389, 51807, 50294, 55560, 55685, 51068, 53083, 51098, 51218, 50900, 50910, 68452, 51214, 51194, 51026, 51377, 58706, 58323, 50861, 77798, 54553, 50841, 54206, 61077, 55651, 60161, 51098, 51218, 51026, 57446, 52870, 50899, 51215, 50861, 51215, 50434, 51026, 55506, 52600, 51150, 62649, 57094, 51514, 50292, 69652, 53083, 51389, 60045, 51458, 50294, 51100, 51026, 51111, 50871, 64210, 58323, 51068, 50841, 53458, 51115, 75818, 64871, 51214, 51043, 51026, 51377, 58706, 58235, 50906, 62465, 54172, 52992, 50899, 51191, 50861, 51391, 50804, 57535, 51098, 51218, 51026, 53984, 59484, 51026, 52764, 53068, 51150, 51807, 50292, 55560, 50841, 56950, 51807, 50294, 55560, 60161, 51068, 52870, 51098, 51218, 50997, 52140, 50899, 52140, 50861, 51592, 58706, 56670, 52387, 51021, 53924, 54665, 65959, 50910, 53550, 59673, 51098, 51295, 51068, 57461, 65959, 53850, 50841, 53788, 51003, 52213, 51112, 74720, 72734, 50804, 52992, 51389, 56744, 56670, 52280, 77121, 52213, 60903, 53116, 51098, 51295, 50997, 51313, 50899, 51353, 50861, 51243, 50906, 51313, 54768, 57927, 52387, 50806, 53526, 54926, 65959, 64824, 58472, 51098, 51218, 51068, 50841, 50796, 53951, 52639, 51150, 50943, 52213, 59702, 52950, 51389, 60045, 72225, 68369, 66412, 58379, 57927, 52280, 64731, 51756, 61238, 53083, 51098, 51295, 50997, 51662, 50899, 51422, 50871, 51422, 50877, 51692, 54768, 57143, 51760, 50860, 54124, 54814, 51760, 50910, 55669, 58235, 51098, 51218, 51068, 50841, 53924, 52950, 51150, 50915, 51756, 51112, 50900, 51183, 50956, 51183, 50989, 51183, 50906, 51183, 50804, 53068, 51389, 58379, 56688, 51760, 74239, 52527, 61238, 50828, 53458, 51115, 58706, 56260, 51760, 50911, 53951, 53744, 51760, 50859, 51302, 57535, 51098, 51115, 51068, 50841, 53526, 53083, 51150, 50943, 51760, 51111, 50899, 64292, 56951, 58323, 52527, 50830, 56950, 51003, 51760, 51159, 50900, 60268, 58379, 60161, 51068, 52870, 51150, 51295, 50997, 52026, 50304, 66715, 67278, 51391, 54768, 56670, 51760, 51138, 53924, 54665, 51756, 53402, 50804, 59673, 51150, 51377, 50861, 74941, 68913, 73981, 69098, 51204, 51068, 57461, 51150, 50942, 50997, 54742, 50841, 53202, 51003, 51756, 51060, 51027, 51025, 50877, 77587, 58235, 52527, 58798, 51140, 50943, 51760, 69970, 64442, 51123, 51027, 51008, 50871, 68870, 56565, 51068, 53442, 51261, 51115, 50997, 51199, 70990, 50871, 70062, 51077, 58706, 55698, 51756, 50806, 53526, 54926, 52280, 64824, 58323, 51261, 51400, 51027, 52386, 50302, 50874, 61335, 68274, 51068, 50828, 52591, 63503, 50422, 51261, 50925, 50877, 53887, 60682, 50965, 53450, 51560, 51003, 52280, 51215, 60501, 50997, 51962, 50299, 57935, 51351, 50804, 58608, 51760, 53402, 51560, 51003, 51756, 64815, 50822, 78456, 50997, 60146, 59673, 51068, 53035, 51216, 51295, 50876, 51191, 54768, 55223, 52280, 50911, 50458, 51027, 62820, 68804, 66813, 59606, 54625, 52213, 50808, 55669, 58235, 51216, 51400, 51068, 52870, 50956, 51609, 50301, 50844, 50900, 50854, 58222, 50434, 51216, 56873, 52950, 51560, 51003, 52213, 69057, 57854, 51756, 57006, 51216, 51003, 51756, 69796, 51609, 50301, 64312, 50810, 58222, 50804, 58472, 51068, 50828, 54079, 51295, 54768, 56813, 52280, 50806, 53951, 54446, 52213, 61408, 57535, 51273, 51400, 51378, 66517, 51241, 50900, 51351, 51027, 51742, 51068, 59673, 51273, 56873, 53068, 51273, 65593, 63782, 50841, 59298, 51734, 50298, 73355, 51351, 51027, 52122, 50804, 60161, 51068, 52870, 51098, 51295, 51026, 51309, 58706, 56670, 52387, 62751, 50899, 64007, 62378, 59606, 54665, 52387, 50897, 53550, 57854, 51098, 51295, 60932, 58219, 50906, 65232, 53083, 51026, 51079, 50458, 50899, 64716, 64066, 68870, 50841, 53788, 50943, 52213, 50967, 51085, 75438, 58235, 52280, 57316, 51389, 50915, 52213, 51346, 51120, 77867, 58608, 51068, 53219, 51098, 51218, 51026, 51203, 54768, 56866, 52387, 50911, 68473, 50912, 69271, 50916, 54965, 54926, 65959, 50858, 51382, 58323, 51098, 51218, 51026, 51115, 51068, 50841, 54206, 51363, 50916, 51221, 50997, 51411, 53951, 52992, 51150, 50915, 52387, 51346, 50989, 60045, 51391, 51120, 51961, 50804, 53116, 51389, 56744, 57927, 52280, 64731, 51756, 61238, 53035, 51098, 51295, 50997, 51148, 74169, 50916, 51183, 51026, 51047, 58706, 57143, 51760, 51021, 54124, 54814, 51760, 50910, 55669, 58235, 51098, 51295, 51756, 51294, 51068, 50846, 53924, 53116, 51150, 51003, 51760, 52297, 50294, 51295, 50900, 51115, 50956, 51115, 50989, 51218, 50877, 51295, 50804, 53083, 51389, 56744, 56012, 52527, 50889, 50458, 51068, 50841, 53458, 51295, 58706, 55376, 51760, 50911, 50416, 51026, 51484, 53951, 54477, 51760, 60809, 50916, 50971, 51302, 57535, 51098, 51218, 61335, 50997, 51051, 50916, 66437, 57014, 51026, 51328, 64118, 54732, 53083, 51150, 51807, 50294, 52496, 50839, 56950, 50943, 52527, 63925, 51267, 51001, 55067, 58235, 51068, 52870, 51150, 51218, 50902, 59428, 69836, 51103, 51085, 51127, 58706, 56344, 51760, 51413, 53924, 52950, 50804, 59673, 51150, 51377, 66883, 50956, 50907, 78679, 50876, 50914, 51068, 54926, 51756, 51191, 50458, 51150, 57990, 50841, 55435, 51309, 50900, 51043, 50956, 52482, 50861, 51642, 50804, 56813, 51140, 50915, 50416, 51760, 76186, 51756, 72893, 61567, 64742, 64675, 74604, 56670, 51150, 51003, 50434, 51068, 53219, 54768, 57927, 51140, 51295, 51760, 51364, 51050, 51623, 50440, 50956, 67278, 64292, 51419, 53526, 50839, 51382, 58323, 51756, 51189, 50871, 60015, 51391, 50900, 51677, 51068, 54943, 51140, 51377, 50796, 53951, 54477, 51140, 50942, 51050, 51183, 51302, 56344, 51150, 60241, 51218, 50428, 51760, 69205, 52840, 51377, 50877, 64544, 57927, 51140, 51003, 50446, 51068, 53083, 51261, 51295, 58706, 56688, 51756, 51141, 50876, 51036, 51234, 53363, 54124, 54359 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 6755, 12547, 6, 3459, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 211, 119, 406, 6, 230, 6, 8, 274, 4620, 5, 46336, 24456, 9, 42, 12298, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50796, 50796, 50444, 55301, 50977, 50449, 60160, 59960, 61615, 50917, 50460, 56125, 54270, 50461, 59480, 51157, 53370, 54270, 53949, 54270, 50799, 52647, 51025, 52158, 51056, 53362, 51542, 51771, 51162, 79503, 50744, 50333, 52727, 50913, 57515, 50862, 51992, 52720, 53016, 51801, 56447, 53201, 56063, 60931, 60160, 50917, 52819, 52917, 52647, 51312, 52158, 51267, 51771, 51056, 50913, 56375, 60519, 62733, 51191, 50432, 53362, 50864, 50945, 52755, 56240, 52896, 53362, 51878, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 52647, 51411, 51771, 51109, 52158, 51109, 60160, 75987, 57296, 53875, 61615, 50977, 50913, 65540, 50744, 50326, 52503, 50799, 53362, 51542, 52647, 51109, 51771, 51377, 52158, 51056, 79503, 59480, 50943, 50913, 57515, 54475, 50913, 60931, 52819, 52917, 52647, 51109, 51771, 51056, 52158, 51267, 60160, 50987, 50913, 56375, 60519, 60160, 58672, 53362, 50886, 50945, 52755, 56240, 52896, 53362, 51749, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 62733, 51003, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 52647, 51312, 51771, 51159, 52158, 51109, 50913, 57296, 53875, 61615, 59598, 65540, 53733, 54270, 53511, 54270, 53818, 54270, 51850, 58643, 50799, 51890, 51400, 51959, 51267, 53362, 51542, 51816, 51162, 79503, 61592, 50836, 77096, 53055, 50913, 57515, 50862, 51756, 58962, 52235, 55116, 50417, 57788, 54657, 59480, 51894, 50913, 60931, 52819, 52917, 51890, 51267, 51959, 51109, 51816, 51056, 50913, 56375, 53695, 53362, 50864, 50945, 52755, 56240, 52896, 53362, 51878, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 66681, 52503, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 51890, 51400, 51816, 51109, 51959, 51312, 50913, 57296, 53875, 50913, 50971, 50799, 53362, 51542, 51890, 51267, 51816, 51377, 51959, 51267, 50945, 61559, 57515, 54475, 50913, 60931, 52819, 52917, 51890, 51056, 51816, 51056, 51959, 51109, 50913, 56375, 53695, 53362, 50886, 50945, 52755, 56240, 57413, 77096, 53678, 50438, 53362, 51749, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 50913, 57515, 54247, 55301, 50917, 50913, 69875, 52819, 52805, 51890, 51267, 51816, 51159, 51959, 51312, 60160, 50917, 50913, 57296, 53875, 71078, 51162, 50913, 65540, 55575, 54270, 53370, 54270, 53949, 54270, 50799, 52647, 51025, 52158, 51056, 53362, 51542, 51771, 51162, 79503, 50744, 50333, 52988, 50913, 57515, 50862, 51992, 52720, 53016, 51801, 56447, 53201, 50420, 65619, 50977, 50913, 60931, 52819, 52917, 52647, 51312, 52158, 51267, 51771, 51056, 59212, 50917, 50913, 56375, 53695, 53362, 50864, 50945, 50828, 61592, 51191, 50913, 56240, 57413, 67410, 52212, 50438, 53362, 51878, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 50913, 57515, 54247, 50913, 69875, 60160, 50977, 52819, 52805, 52647, 51411, 51771, 51109, 52158, 51109, 50913, 57296, 53875, 71078, 51162, 50913, 65540, 50744, 50330, 52503, 50799, 53362, 51542, 52647, 51109, 51771, 51377, 52158, 51056, 50945, 61559, 57515, 54475, 65619, 51110, 50913, 60931, 52819, 52917, 52647, 51109, 51771, 51056, 52158, 51267, 50913, 56375, 56865, 59212, 65135, 53362, 50886, 50945, 52755, 56240, 52896, 53362, 51749, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 61592, 51110, 50913, 57515, 54247, 50913, 66701, 61592, 51194, 50449, 52819, 52805, 52647, 51312, 51771, 51159, 52158, 51109, 50913, 57296, 53875, 61615, 50977, 50913, 65540, 53511, 54270, 53733, 54270, 53818, 54270, 50744, 50333, 52727, 51850, 58643, 50799, 51890, 51400, 51959, 51267, 53362, 51542, 51816, 51162, 79503, 61592, 51003, 50913, 57515, 50862, 51756, 58962, 52235, 55116, 56063, 60931, 59480, 54592, 50614, 52917, 51890, 51267, 51959, 51109, 51816, 51056, 50913, 56375, 67161, 57788, 78336, 60160, 74521, 53362, 50864, 50945, 52755, 56240, 52896, 53362, 51878, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 51890, 51400, 51816, 51109, 51959, 51312, 50913, 57296, 53875, 50913, 50971, 50799, 53362, 51542, 51890, 51267, 51816, 51377, 51959, 51267, 50945, 61559, 57515, 54475, 50913, 60931, 52819, 52917, 51890, 51056, 51816, 51056, 51959, 51109, 50913, 56375, 53695, 53362, 50886, 50945, 52755, 56240, 52896, 53362, 51749, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 50913, 57515, 54247, 61592, 51100, 50913, 69875, 52819, 52805, 51890, 51267, 51816, 51159, 51959, 51312, 50913, 57296, 56269, 71078, 51110, 63908, 61545, 51863, 51445, 51881, 51671, 51743, 51449, 53718, 53678, 50461, 51850, 53142, 50799, 51890, 51025, 52092, 51056, 53168, 51542, 52158, 51162, 72258, 71078, 51112, 50913, 57515, 55692, 50829, 51760, 54171, 53016, 52062, 56063, 53107, 58646, 71078, 50917, 52819, 52917, 51890, 51312, 52092, 51267, 52158, 51056, 50913, 56375, 55004, 52818, 53168, 50864, 50953, 50828, 71078, 65129, 56240, 52291, 52621, 53168, 51878, 51890, 51109, 52158, 51267, 52092, 51267, 50953, 50983, 65917, 55748, 57515, 55692, 54656, 61592, 51191, 66164, 56685, 58145, 52819, 52805, 51890, 51411, 52158, 51109, 52092, 51109, 50913, 57296, 50380, 54297, 63908, 50370, 54297, 50458, 51711, 51243, 50459, 52033, 51671, 51615, 51449, 50460, 54307, 51922, 50461, 51992, 53142, 50799, 53359, 51542, 52126, 51109, 51771, 51377, 51959, 51056, 66035, 59480, 58831, 57515, 55692, 50829, 51971, 54171, 53085, 52062, 50419, 61592, 51006, 56063, 53107, 58646, 52819, 52917, 52126, 51109, 51771, 51056, 51959, 51267, 61592, 51145, 50913, 56375, 55004, 52818, 52569, 51803, 53359, 50886, 51011, 52755, 56240, 52291, 52621, 53359, 51749, 52126, 51109, 51771, 51267, 51959, 51267, 52577, 51047, 51011, 50983, 50913, 57515, 55692, 52875, 50913, 56685, 58145, 52819, 52805, 52126, 51312, 51771, 51159, 51959, 51109, 50913, 57296, 50380, 54297, 50456, 61592, 50977, 50913, 50370, 54297, 50458, 51838, 51243, 50459, 51743, 51671, 55815, 51671, 51656, 51449, 50461, 52235, 53142, 50799, 51890, 51400, 52092, 51267, 52951, 51542, 52158, 51162, 51186, 50807, 69489, 51346, 50913, 57515, 55692, 50829, 51850, 54171, 53727, 52062, 56063, 53107, 58646, 52819, 52917, 51890, 51267, 52092, 51109, 52158, 51056, 69489, 55063, 56375, 55004, 55001, 65210, 61721, 71078, 51291, 50432, 52951, 50864, 51186, 52755, 56240, 52291, 52621, 52951, 51878, 51890, 51056, 52158, 51267, 52092, 51109, 51186, 50983, 50913, 57515, 55692, 52875, 50913, 56685, 58145, 52819, 52805, 51890, 51400, 52158, 51109, 52092, 51312, 50913, 50370, 53120, 51116, 50832, 50380, 54297, 63908, 50370, 54297, 50461, 51165, 52482, 51251, 52482, 51107, 51412, 52819, 50863, 50799, 53897, 50974, 51890, 51100, 52158, 51100, 52092, 51178, 51133, 50967, 69489, 51215, 51154, 52059, 51690, 52034, 52487, 51576, 50913, 50370, 53823, 56935, 54101, 55004, 72007, 58741, 51165, 51797, 50423, 51890, 50873, 52158, 50901, 52092, 50892, 53897, 51277, 51133, 51060, 65210, 50967, 51251, 52034, 51154, 51309, 51733, 51852, 51926, 51852, 51107, 51337, 50913, 50371, 52388, 50369, 60084, 55047, 51909, 55004, 67926, 58607, 51165, 51074, 51154, 51432, 51107, 51079, 51201, 54100, 51890, 50897, 52158, 50925, 52092, 50878, 53897, 51008, 51133, 50938, 71078, 50917, 51384, 51079, 51690, 51174, 50913, 50371, 53315, 50367, 52388, 56935, 51909, 55004 ]
[ 0, 1121, 42, 765, 5175, 2214, 6, 10, 38668, 483, 1239, 5, 8036, 6, 7513, 30, 38668, 20535, 6, 32909, 6, 3459, 9590, 6, 8, 5951, 14744, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 590, 10, 1769, 20889, 9, 13950, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 230, 3694, 8, 1575, 10, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 272, 119, 6, 274, 401, 6, 8, 12608, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 980, 8, 3366, 6601, 6, 442, 24, 10686, 13, 10, 177, 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 ]	[ 56236, 53292, 50918, 52412, 50918, 52479, 56039, 52987, 50983, 52276, 50983, 52479, 68862, 52648, 52382, 53292, 52382, 52479, 52382, 50796, 50799, 52648, 50918, 53292, 50918, 52412, 56039, 53355, 50983, 52987, 50983, 52276, 68862, 55794, 52382, 52648, 52382, 53292, 52382, 50796, 50799, 53292, 50918, 52412, 50918, 52479, 56039, 52987, 50983, 52276, 50983, 52479, 68862, 52648, 52382, 53292, 52382, 52479, 52382, 50796, 50799, 52648, 50918, 53292, 50918, 52412, 56039, 53355, 50983, 52987, 50983, 52276, 68862, 55794, 52382, 52648, 52382, 53292, 52382, 50796, 50799, 54264, 51283, 52479, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 51835, 52343, 53626, 50319, 51631, 52412, 50795, 51507, 53626, 50306, 51428, 51628, 54256, 51283, 52479, 50807, 53367, 50983, 78161, 51485, 50983, 53354, 51646, 51507, 53626, 50306, 51428, 51820, 52412, 50795, 78161, 53354, 51798, 54025, 53233, 52276, 50983, 53857, 52382, 51704, 50800, 51431, 52382, 58417, 51428, 51754, 51704, 78421, 50795, 68154, 53626, 50304, 51428, 51835, 52412, 50983, 51704, 78421, 51631, 51704, 53626, 50304, 51428, 51628, 51704, 78421, 51646, 52276, 50865, 51704, 53626, 50304, 51428, 51820, 53292, 50865, 51704, 78421, 51798, 52648, 50865, 51704, 53626, 50304, 51428, 51754, 52648, 50865, 51704, 78421, 50795, 50799, 54025, 51283, 52479, 50807, 53857, 50983, 51704, 50800, 51431, 50983, 58417, 51428, 51835, 51704, 78421, 51631, 52412, 50865, 52237, 53626, 50302, 51428, 51628, 54685, 51283, 52479, 50807, 53774, 50983, 52237, 50800, 51723, 50983, 53354, 51646, 52237, 53626, 50302, 51428, 51820, 52412, 50865, 52237, 50800, 53354, 51798, 57755, 53233, 52276, 50983, 64011, 52382, 53724, 50800, 52211, 52382, 50731, 50300, 51428, 51754, 53724, 78421, 50795, 50799, 53724, 53626, 50300, 51428, 51835, 53292, 50807, 53724, 78421, 51631, 53724, 53626, 50300, 51428, 51628, 52648, 50865, 53724, 78421, 51646, 53112, 50865, 53724, 53626, 50300, 51428, 51820, 52412, 50865, 53724, 78421, 51798, 53292, 50865, 53724, 53626, 50300, 51428, 51754, 52648, 50865, 53724, 78421, 50795, 50799, 54264, 51283, 52479, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 51835, 52343, 53626, 50319, 51631, 52412, 50795, 51507, 53626, 50306, 51428, 51628, 54256, 51283, 52479, 50807, 53367, 50983, 78161, 51485, 50983, 53354, 51646, 51507, 53626, 50306, 51428, 51820, 52412, 50795, 78161, 53354, 51798, 54025, 53233, 52276, 50983, 53857, 52382, 51704, 50800, 51431, 52382, 58417, 51428, 51754, 51704, 78421, 50795, 68154, 53626, 50304, 51428, 51835, 52412, 50983, 51704, 78421, 51631, 51704, 53626, 50304, 51428, 51628, 51704, 78421, 51646, 52276, 50865, 51704, 53626, 50304, 51428, 51820, 53292, 50865, 51704, 78421, 51798, 52648, 50865, 51704, 53626, 50304, 51428, 51754, 52648, 50865, 51704, 78421, 50795, 50799, 54025, 51283, 52479, 50807, 53857, 50983, 51704, 50800, 51431, 50983, 58417, 51428, 51835, 51704, 78421, 51631, 52412, 50865, 52237, 53626, 50302, 51428, 51628, 54685, 51283, 52479, 50807, 53774, 50983, 52237, 50800, 51723, 50983, 53354, 51646, 52237, 53626, 50302, 51428, 51820, 52412, 50865, 52237, 50800, 53354, 51798, 57755, 53233, 52276, 50983, 64011, 52382, 53724, 50800, 52211, 52382, 50731, 50300, 51428, 51754, 53724, 78421, 50795, 50799, 53724, 53626, 50300, 51428, 51835, 53292, 50807, 53724, 78421, 51631, 53724, 53626, 50300, 51428, 51628, 52648, 50865, 53724, 78421, 51646, 53112, 50865, 53724, 53626, 50300, 51428, 51820, 52412, 50865, 53724, 78421, 51798, 53292, 50865, 53724, 53626, 50300, 51428, 51754, 52648, 50865, 53724, 78421, 50795, 50799, 54264, 51283, 52479, 50807, 54843, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 52343, 53626, 50319, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 52412, 50795, 52730, 50795, 51507, 53626, 50306, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 54256, 51283, 52479, 50807, 56361, 50807, 53367, 50983, 78161, 51485, 50983, 53354, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 51507, 53626, 50306, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 52412, 50795, 54326, 50795, 78161, 53354, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 54025, 53233, 52276, 50983, 60791, 50807, 53857, 52382, 51704, 50800, 51431, 52382, 58417, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 51704, 78421, 50795, 79150, 50864, 77906, 56517, 79150, 50864, 50799, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 52412, 50983, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 52276, 50865, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 53292, 50865, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 52648, 50865, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 52648, 50865, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 70529, 50778, 50321, 62908, 79150, 50864, 50799, 54025, 51283, 52479, 50807, 54843, 50807, 53857, 50983, 51704, 50800, 51431, 50983, 58417, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 51704, 78421, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 52412, 50865, 52730, 50795, 52237, 53626, 50302, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 54685, 51283, 52479, 50807, 56361, 50807, 53774, 50983, 52237, 50800, 51723, 50983, 53354, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 52237, 53626, 50302, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 52412, 50865, 54326, 50795, 52237, 50800, 53354, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 57755, 53233, 52276, 50983, 60791, 50807, 64011, 52382, 53724, 50800, 52211, 52382, 50731, 50300, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 53724, 78421, 50795, 79150, 50864, 77906, 56517, 79150, 50864, 50799, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 53292, 50807, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 52648, 50865, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 53112, 50865, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 52412, 50865, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 53292, 50865, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 52648, 50865, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 70529, 50778, 50321, 62908, 79150, 50864, 50799, 54264, 51283, 52479, 50807, 54843, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 52343, 53626, 50319, 50795, 79150, 50864, 77906, 56909 ]
[ 0, 250, 182, 765, 37903, 9, 15855, 8, 5175, 930, 6, 4246, 10, 13305, 11, 5, 762, 9, 274, 538, 6, 19, 10, 881, 33215, 9, 274, 4, 20, 2125, 34, 10, 25306, 6, 2933, 6, 8, 9066, 619, 6, 8, 16, 3744, 23, 10, 182, 1769, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 50871, 54177, 50906, 52688, 50906, 53052, 50871, 52718, 50871, 53624, 50902, 54980, 50906, 53581, 50902, 50838, 54960, 54177, 50906, 52688, 50871, 53052, 50877, 52718, 50906, 56350, 50871, 52985, 50906, 53581, 50906, 50838, 54578, 54177, 50871, 52688, 50902, 55665, 50906, 52718, 50902, 53624, 50876, 52985, 50877, 53581, 50871, 50838, 54852, 54177, 50906, 54869, 50902, 53052, 50902, 52718, 50902, 53624, 50931, 52985, 50902, 53581, 50876, 50838, 54960, 54177, 50931, 52688, 50876, 53052, 50906, 52718, 50906, 53624, 50951, 52985, 50951, 53581, 50931, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 32076, 8, 15352, 30054, 1619, 2214, 14, 28337, 4785, 9, 3495, 8, 15855, 930, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 2370, 21305, 6, 10170, 1499, 6, 8, 1076, 560, 31365, 25999, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 42, 2125, 3136, 23, 10, 182, 1769, 20889, 9, 27886, 13410, 228, 2289, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50641, 51034, 52013, 52670, 52013, 52904, 52013, 50891, 67833, 51335, 61159, 56303, 50882, 51667, 50800, 52142, 50821, 51284, 56535, 54113, 50795, 50436, 60529, 51010, 51721, 50880, 51394, 55381, 50641, 56594, 51306, 60309, 51306, 50448, 52780, 53030, 51306, 50449, 51304, 74451, 61591, 50908, 51034, 50642, 51793, 51016, 58485, 50803, 51643, 53558, 52538, 51916, 60776, 56303, 50894, 51667, 54149, 50872, 63752, 61283, 50841, 51690, 59343, 52348, 55477, 56623, 50821, 50428, 58485, 50930, 51643, 59093, 56303, 50894, 51667, 54773, 50643, 74279, 64278, 50818, 51690, 58162, 51539, 56068, 58485, 50930, 51643, 50809, 56623, 60159, 56303, 50962, 51667, 68168, 58485, 51460, 51643, 51016, 52487, 50943, 73831, 51235, 52120, 64565, 62087, 51500, 50426, 51098, 51235, 74279, 61283, 50818, 56623, 50980, 51690, 57691, 52348, 59551, 56303, 50823, 51667, 50921, 50437, 51304, 61148, 51216, 51235, 50872, 62372, 64278, 50884, 52780, 51460, 50816, 51539, 62078, 58485, 50803, 51643, 63500, 53258, 51460, 51384, 51162, 78459, 51090, 52120, 64565, 60448, 50811, 51633, 65602, 60529, 51010, 51721, 62588, 56623, 54856, 57584, 50939, 79368, 50841, 51690, 59343, 52348, 56344, 60448, 50962, 51633, 68487, 60529, 50962, 51721, 54957, 50872, 63073, 78955, 50828, 56623, 50803, 51690, 58162, 51539, 56068, 60448, 50962, 51633, 54815, 60529, 50962, 51721, 66429, 60448, 51072, 51633, 51055, 50691, 50338, 51227, 53089, 50943, 51034, 51793, 51235, 52120, 59509, 56623, 77224, 51984, 51235, 57584, 50939, 79368, 50846, 51690, 71491, 52348, 65760, 60529, 50803, 51721, 63892, 53258, 69203, 51389, 51235, 50872, 63073, 50884, 51007, 50884, 51384, 51267, 50816, 51539, 62078, 60448, 50803, 51633, 63500, 55034, 51603, 68423, 51016, 51733, 51056, 52120, 64565, 72241, 50811, 52113, 65602, 58485, 51010, 51643, 70576, 57293, 50882, 51926, 51631, 50868, 60753, 61283, 52538, 52348, 56344, 72241, 50811, 52113, 62725, 58485, 50962, 51643, 54957, 50868, 59681, 64278, 50884, 57293, 50921, 51926, 59343, 51539, 56866, 72241, 50950, 52113, 54651, 58485, 50811, 51643, 63154, 72241, 50993, 52113, 50896, 51304, 51400, 68423, 51235, 52780, 51454, 52120, 59509, 51384, 58193, 51389, 51235, 50868, 61574, 61937, 50846, 53258, 62769, 52348, 65760, 80126, 50976, 51993, 51192, 50437, 51733, 69205, 51984, 51235, 50868, 59681, 64278, 50884, 55034, 51500, 50816, 51539, 56068, 50720, 50335, 50975, 52372, 51167, 51034, 51793, 51235, 50872, 69504, 50883, 50909, 50884, 80126, 50894, 51993, 50858, 56623, 50921, 51690, 55855, 52538, 51437, 52966, 51150, 50893, 52780, 50803, 51304, 65001, 58485, 50950, 51643, 52686, 51261, 50893, 54113, 50894, 51394, 68484, 60529, 51010, 51721, 62256, 51284, 52599, 51216, 56567, 64143, 50909, 50883, 52142, 55024, 52538, 56502, 64481, 56303, 50811, 51667, 67106, 51951, 54651, 51098, 50893, 56226, 50811, 51652, 50880, 51182, 61841, 52249, 51010, 73831, 51173, 50872, 60782, 50884, 50909, 50846, 56541, 50803, 51831, 50821, 51201, 57567, 52538, 51437, 52904, 60106, 51788, 50806, 77323, 51093, 51079, 79103, 51882, 50806, 53725, 79258, 51873, 51377, 51531, 51112, 58485, 51238, 50440, 51667, 51221, 56594, 51306, 60309, 51306, 50448, 50816, 51306, 50449, 50816, 61591, 50908, 51034, 51793, 51016, 51032, 51274, 51788, 51274, 52142, 50983, 51093, 51965, 51284, 68113, 52538, 51916, 50891, 51882, 51274, 53725, 51274, 50415, 58485, 51300, 51667, 51562, 50416, 51873, 51115, 51531, 59492, 50885, 69263, 60782, 53500, 52348, 57320, 51873, 51255, 51531, 51162, 58485, 51055, 51667, 51221, 50438, 50885, 68203, 70743, 50818, 60106, 51788, 50806, 77323, 51093, 51079, 51284, 54792, 51539, 50841, 51882, 50806, 53725, 50806, 50449, 60448, 50887, 51721, 51103, 51034, 51666, 51080, 51389, 51016, 51067, 51274, 53019, 51274, 54113, 50983, 51107, 51965, 51394, 51189, 52120, 50870, 52086, 51274, 55412, 51274, 50415, 53438, 51749, 50420, 58485, 50882, 50425, 60448, 52422, 50848, 75808, 60782, 53500, 52348, 56748, 58485, 59321, 53438, 79410, 51531, 51124, 50848, 63538, 69504, 50884, 60106, 51788, 50806, 56303, 50859, 51667, 51056, 77323, 51093, 51079, 51284, 54792, 51539, 50841, 51882, 50806, 53725, 52692, 58485, 63500, 53438, 51400, 51034, 51531, 51400, 52078, 51235, 51032, 51160, 51788, 51160, 56303, 50924, 51667, 50866, 52142, 50991, 51093, 51852, 51284, 51124, 52120, 50891, 51882, 51160, 53725, 51160, 50421, 56226, 50880, 51652, 62588, 60529, 50840, 51633, 53548, 51994, 52069, 51988, 52071, 51984, 51235, 50848, 62048, 50846, 59902, 51064, 51585, 51563, 51585, 51951, 51036, 51165, 51671, 51182, 51307, 50816, 52348, 50820, 52077, 51585, 52908, 51585, 50433, 56303, 50962, 51643, 50962, 57385, 51235, 50848, 61031, 50895, 59902, 56226, 50890, 51721, 55960, 51539, 58829, 56541, 50880, 51667, 63500, 56588, 50894, 51652, 51014, 78459, 51235, 52120, 64040, 56334, 50821, 52522, 68057, 56588, 50880, 51652, 52422, 51261, 51235, 50847, 67131, 79368, 54382, 52348, 56657, 56541, 50962, 51667, 77451, 51988, 51112, 51666, 51112, 62145, 51235, 50847, 63073, 50884, 51007, 50846, 60848, 79773, 56226, 51010, 51721, 50950, 51951, 50795, 51165, 51079, 51182, 54792, 51539, 50828, 52077, 50806, 52908, 52692, 56303, 50950, 51643, 50950, 51034, 51666, 51291, 51988, 51291, 73709, 51064, 51274, 51563, 51274, 60529, 52097, 51652, 51562, 51951, 50983, 51165, 51965, 51182, 51189, 52120, 50891, 52077, 51274, 52908, 74189, 50847, 67131, 79368, 53396, 52348, 56305, 51666, 51267, 51988, 51377, 50438, 50847, 76161, 78955, 50884, 60848, 79773, 60529, 51500, 51652, 51400, 51951, 50795, 51165, 51079, 51182, 54792, 51539, 50828, 52077, 50806, 52908, 50806, 50449, 58485, 50800, 68423, 51016, 51032, 51285, 51788, 51285, 51667, 50983, 52142, 51291, 51093, 52263, 51284, 51413, 52120, 50870, 51882, 51285, 53725, 51285, 50415, 51988, 51417, 52393, 51446, 50420, 60529, 68057, 58485, 52422, 50868, 62048, 50884, 50909, 53396, 52348, 52925, 60529, 51724, 50868, 50846, 60113, 50909, 50818, 60848, 79773, 56303, 50859, 51652, 51116, 51951, 50795, 51165, 51079, 51182, 54792, 51539, 50828, 52077, 50806, 52908, 79258, 51988, 51377, 52393, 76097, 56226, 63500, 56226, 50936, 51034, 51988, 51411, 52393, 51775, 51140, 51235, 50872, 61045, 61937, 50839, 51064, 51160, 51563, 51160, 51652, 50805, 51951, 50991, 51165, 51852, 51182, 51124, 52120, 50870, 52077, 51160, 52908, 72101, 56541, 50858, 51831, 54007, 56588, 50812, 52376, 54149, 51531, 51790, 51873, 51803, 51216, 51235, 50872, 61045, 61937, 50839, 50947, 51685, 51438, 51685, 52249, 79383, 51447, 51201, 51103, 50816, 53796, 50820, 51855, 51685, 52561, 51685, 50431, 56541, 51010, 51831, 56341, 51150, 51235, 50872, 69504, 50883, 50909, 50895, 56303, 50930, 51667, 56409, 54147, 52875, 58485, 50962, 51643, 76973, 80126, 50811, 51993, 50930, 51034, 51793, 51235, 50872, 70743, 50883, 50909, 54285, 52538, 51750, 50891, 56594, 51306, 60309, 51306, 50448, 50816, 51306, 50449, 50816, 61591, 50908, 51034, 51793, 51235, 51032, 57231, 52538, 51916, 52966, 50872, 60782, 61283, 50846, 57360, 50816, 52348, 52600, 50872, 66093, 50884, 50909, 50884, 51032, 60223, 51539, 50841, 68423, 51235, 51438, 51196, 52120, 52872, 50872, 62372, 64278, 52538, 52348, 52950, 50872, 69504, 50895, 50909, 50895, 51788, 60223, 51539, 50841, 51034, 51793 ]
[ 0, 250, 15352, 30054, 5175, 14123, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 2342, 4467, 816, 5, 483, 33301, 6, 7513, 30, 38668, 18569, 6, 13305, 6, 2236, 1021, 2678, 29, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 274, 10431, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 2635, 8, 19448, 5466, 19, 12577, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50799, 51429, 51359, 51639, 51307, 52591, 51429, 50977, 51639, 60086, 51777, 51100, 52070, 51121, 50435, 51777, 51103, 52070, 51183, 50799, 51429, 51359, 51639, 51307, 52591, 51429, 50942, 51639, 57629, 51777, 51121, 52070, 51121, 50435, 51777, 51077, 52070, 51077, 50441, 52646, 59586, 53926, 62749, 52646, 51351, 51899, 50930, 51453, 50846, 72722, 51991, 51415, 50952, 51136, 52071, 51078, 52069, 51316, 51364, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 53576, 51494, 51486, 52112, 51694, 52975, 51415, 50940, 51076, 51336, 55837, 51419, 56660, 51134, 52120, 60631, 51415, 52599, 52480, 50977, 52914, 51006, 52112, 50442, 51415, 53044, 51213, 50859, 52433, 50812, 52642, 54436, 51044, 53533, 51415, 50952, 52480, 50917, 52914, 50978, 55783, 51380, 60245, 71491, 53563, 52022, 50952, 52156, 51056, 52525, 51380, 52112, 50460, 51415, 53345, 58660, 51311, 52071, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51991, 51064, 51343, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51115, 54876, 51189, 52455, 52432, 52156, 50887, 52525, 53340, 52437, 52156, 50917, 52525, 63658, 60759, 71857, 53705, 51325, 50859, 51169, 51336, 52156, 50854, 52525, 50827, 55521, 51080, 56817, 51183, 56559, 50873, 52120, 61385, 51325, 53813, 52604, 50977, 52655, 51006, 71857, 50873, 52120, 60547, 51105, 54305, 51213, 50859, 52604, 50808, 52655, 50844, 63104, 50866, 52112, 50449, 71857, 53886, 76442, 52604, 50917, 52655, 50978, 56559, 67041, 53563, 74454, 52156, 51110, 52525, 51337, 71857, 54042, 56904, 51136, 52069, 72722, 51991, 51415, 50952, 51078, 52392, 51316, 51189, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 53576, 51494, 51486, 52083, 50930, 52708, 50840, 63032, 52480, 50948, 52914, 58473, 61426, 51213, 52925, 51415, 50940, 51076, 50918, 52480, 50930, 52914, 50840, 55837, 51419, 56660, 51134, 52093, 50436, 51415, 52599, 52480, 50865, 52914, 50866, 52112, 50442, 51415, 53044, 51213, 50859, 52433, 50930, 52642, 53345, 51044, 53533, 51415, 50952, 52480, 50924, 52914, 50977, 55783, 51380, 60245, 71491, 53563, 52022, 50952, 52156, 50879, 52525, 50901, 52112, 50460, 51415, 53345, 58660, 51311, 51313, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51445, 51064, 50983, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51318, 54876, 51189, 52455, 52432, 52156, 50809, 52525, 51559, 58423, 50801, 52870, 52156, 50938, 52525, 66610, 61426, 51105, 60426, 71857, 53810, 51325, 50859, 51169, 51591, 52156, 50840, 52525, 50857, 55521, 51080, 56817, 51183, 56559, 50845, 52112, 50436, 51325, 53813, 52156, 50938, 52525, 50987, 71857, 50873, 52112, 50442, 51325, 54109, 52210, 51213, 50859, 52156, 50809, 52525, 50813, 63104, 50873, 53552, 53533, 76442, 52251, 50901, 52753, 50838, 56559, 57652, 53563, 51213, 50830, 52083, 51194, 52708, 51309, 60552, 53021, 50818, 72722, 51991, 51205, 50952, 51136, 52071, 51078, 52069, 51316, 51364, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 53576, 51494, 51486, 63032, 52083, 50924, 52708, 63305, 52975, 51415, 50940, 51076, 51336, 55837, 51419, 56660, 51134, 52120, 60631, 51415, 52599, 52480, 50865, 52914, 50866, 52112, 50442, 51415, 53044, 51213, 50859, 52433, 50859, 52642, 54312, 51044, 53533, 51415, 50952, 52480, 50938, 52914, 50987, 55783, 51380, 60245, 71491, 53563, 52022, 50952, 52156, 51177, 52525, 51277, 52112, 50460, 51415, 53345, 58660, 51311, 52071, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51991, 51064, 51343, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51318, 54876, 51189, 52455, 52432, 52156, 50836, 52525, 53065, 52437, 52156, 50865, 52525, 56466, 60759, 71857, 53705, 51325, 50859, 51169, 51336, 52156, 50836, 52525, 50867, 55521, 51080, 56817, 51183, 56559, 50873, 52120, 61385, 51325, 53813, 52604, 50866, 52655, 51174, 71857, 50873, 52120, 60547, 51325, 52986, 51213, 50859, 52604, 50833, 52655, 50874, 63104, 50866, 52112, 50449, 71857, 53886, 76442, 52604, 50977, 52655, 51006, 56559, 67041, 53563, 74454, 52156, 50901, 52525, 50838, 71857, 54042, 56904, 51136, 52069, 72722, 51991, 51415, 50952, 51078, 52392, 51316, 51189, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 63244, 52156, 50836, 52525, 55105, 51494, 51486, 52112, 50425, 52480, 50866, 52914, 51174, 51694, 61426, 51213, 60426, 52480, 50808, 52914, 53513, 51415, 50940, 51076, 50918, 55837, 51419, 56660, 51134, 52093, 50436, 51415, 52599, 52433, 51060, 52642, 51101, 52112, 50442, 51415, 53044, 51213, 53841, 51044, 61587, 52480, 50849, 52914, 54323, 51415, 50952, 55783, 51380, 60245, 71491, 60715, 52156, 50845, 52525, 57092, 52022, 50952, 52112, 50460, 51415, 53345, 58660, 51311, 51313, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51445, 51064, 50983, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51318, 54876, 51189, 52455, 58100, 52156, 50808, 52525, 50844, 51039, 58423, 50801, 52870, 52156, 50925, 52525, 67831, 61426, 51105, 60426, 52156, 50833, 52525, 54221, 51325, 50859, 51169, 51591, 55521, 51080, 56817, 51183, 52112, 50436, 51325, 58566, 52604, 50938, 52655, 50987, 51570, 60547, 51325, 54109, 52210, 51213, 50859, 52604, 50840, 52655, 54355, 51239, 53533, 76442, 52156, 51121, 52655, 67041, 60715, 52525, 51199, 50456, 51213, 52744, 53902, 51827, 50849, 79362, 51313, 51777, 51241, 51205, 51013, 51136, 52071, 51078, 52069, 51316, 51364, 53654, 51748, 55340, 52136, 56679, 51748, 52455, 55927, 52251, 54657, 52083, 50886, 73515, 52251, 50925, 51694, 59485, 52083, 66142, 52161, 55100, 51429, 51675, 51415, 50940, 51076, 51336, 54008, 52980, 52120, 60631, 51415, 50808, 51570, 60547, 51415, 53044, 51213, 50859, 52161, 53933, 51044, 53533, 51415, 50952, 51789, 57353, 53563, 52022, 50952, 52083, 50943, 52112, 50460, 51415, 53345, 58660, 51311, 52071, 70527, 51243, 51308, 51218, 51325, 50924, 51136, 51991, 51064, 51343, 53361, 52136, 54008, 51748, 56679, 51748, 52455, 59335, 52437, 51789, 73135, 52975, 51512, 51675, 51325, 50859, 51169, 51336, 52161, 51484, 54165, 52980, 52120, 61385, 51325, 50840, 63664, 60547, 51105, 54305, 51213, 50859, 68698, 76442, 52156, 73135, 53563, 51186, 52744, 53902, 51827, 72914, 51136, 52069, 79362, 51313, 51777, 51241, 51415, 50952, 51078, 52392, 51316, 51189, 53654, 51748, 55340, 52136, 56679, 51748, 52455, 55927, 52251, 54657, 52083, 50886, 73515, 52251, 50925, 51694, 59485, 52083, 66142, 51213, 50839, 52161, 55100, 51429, 51675, 51415, 50940, 51076, 50918, 54008, 52980, 52093, 50436, 51415, 50808, 51570, 60547, 51415, 53044, 51213, 50859, 52161, 53933, 51044, 53533, 51415, 50952, 51789, 57353, 53563, 52022, 50952, 52083, 50943, 52112, 50460, 51415, 53345, 58660, 51311, 51313, 70527, 51243, 51308, 51218, 51325, 50924, 51136, 51445, 51064, 50983, 53361, 52136, 54008, 51748, 56679, 51748, 52455, 59335, 58423, 50801, 52870, 51789, 73135, 61426, 51105, 52925, 51512, 51675, 51325 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 272, 10431, 3694, 6, 4246, 10, 15352, 30054, 11739, 9, 2933, 8, 1372, 23225, 6, 20307, 149, 10, 881, 13931, 9, 163, 119, 1176, 406, 6, 2060, 119, 406, 6, 230, 10431, 73, 534, 10431, 6, 12608, 6, 8, 163, 401, 40286, 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, 0, 0, 0, 0, 0 ]	[ 58375, 51503, 52115, 50956, 51631, 51503, 51736, 50956, 51646, 51503, 51918, 50956, 51798, 51503, 51923, 50973, 50795, 58439, 52115, 50906, 51631, 51503, 51736, 50989, 51646, 51503, 51918, 50956, 51798, 51503, 51923, 79620, 57551, 52115, 50956, 51631, 51315, 51736, 50956, 51646, 51315, 51918, 51028, 51798, 51315, 51923, 50973, 50795, 57497, 52115, 50973, 51631, 51360, 51736, 50906, 51646, 51360, 51918, 50989, 51798, 51360, 51923, 79620, 58439, 52115, 50956, 51631, 51503, 51736, 50956, 51646, 51503, 51918, 50965, 51798, 51503, 51923, 50965, 50795, 58439, 52115, 50906, 51631, 51503, 51736, 50973, 51646, 51503, 51918, 51028, 51798, 51503, 51923, 51001, 50795, 57551, 52115, 51028, 51631, 51315, 51736, 51028, 51646, 51315, 51918, 50973, 51798, 51315, 51923, 50973, 50795, 57497, 52115, 50906, 51631, 51360, 51736, 50965, 51646, 51360, 51918, 50906, 51798, 51360, 51923, 50973, 50795, 57551, 52115, 50973, 51631, 51315, 51736, 50973, 51646, 51315, 51918, 51028, 51798, 51315, 51923, 50973, 50795, 57551, 52115, 50906, 51631, 51315, 51736, 50989, 51646, 51315, 51918, 50956, 51798, 51315, 51923, 50916, 50795, 57497, 52115, 50916, 51631, 51360, 51736, 50916, 51646, 51360, 51918, 51028, 51798, 51360, 51923, 50973, 50795, 57497, 52115, 50906, 51631, 51360, 51736, 50973, 51646, 51360, 51918, 50906, 51798, 51360, 51923, 79620, 58439, 52115, 50956, 51631, 51503, 51736, 50956, 51646, 51503, 51918, 50965, 51798, 51503, 51923, 50965, 50795, 58439, 52115, 50906, 51631, 51503, 51736, 50973, 51646, 51503, 51918, 51028, 51798, 51503, 51923, 50916, 50795, 57497, 52115, 50916, 51631, 51360, 51736, 50916, 51646, 51360, 51918, 51028, 51798, 51360, 51923, 50973, 50795, 57551, 52115, 50973, 51631, 51315, 51736, 50906, 51646, 51315, 51918, 50989, 51798, 51315, 51923, 79620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2125, 4246, 10, 13305, 816, 5, 483, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 5679, 26709, 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 ]	[ 57528, 64908, 54869, 51848, 56389, 51848, 54980, 51848, 50932, 54955, 51419, 51086, 51417, 50899, 73327, 51417, 51137, 51183, 52187, 51318, 61052, 51318, 53817, 51148, 52137, 51148, 52769, 51189, 51614, 51189, 51434, 51189, 51808, 51162, 51976, 69764, 53611, 51835, 51881, 51283, 52886, 51283, 67991, 50426, 51615, 51003, 54307, 61737, 56823, 64231, 51628, 51026, 50878, 52187, 51058, 61052, 51058, 67991, 50438, 51378, 51419, 51027, 51417, 50899, 51417, 50989, 51417, 51640, 51183, 57633, 51047, 52332, 51145, 53129, 51047, 55248, 51145, 56194, 51189, 51440, 51189, 51669, 51189, 51976, 53540, 51820, 53389, 52441, 52430, 52441, 52029, 52080, 51955, 56823, 64231, 51754, 51378, 50878, 51881, 51142, 52886, 51142, 50801, 76840, 57551, 51419, 51086, 51417, 50916, 73327, 51417, 51374, 51183, 51615, 51318, 54307, 51318, 56617, 51148, 52225, 51148, 55243, 51189, 52745, 51189, 51434, 51189, 51808, 51189, 51976, 54853, 51835, 53541, 51283, 53499, 51283, 51230, 52080, 50426, 52033, 51003, 53828, 61737, 56823, 64231, 51628, 51315, 50878, 51615, 51058, 54307, 51058, 51190, 52080, 50438, 51086, 51145, 50899, 51145, 50989, 51145, 51857, 51191, 62146, 51047, 51881, 51145, 52187, 51047, 52886, 51145, 58748, 51189, 52745, 51189, 51434, 51189, 51669, 51100, 60627, 51820, 57633, 52441, 53129, 52441, 51340, 52080, 51955, 56823, 64231, 51754, 51857, 50805, 53541, 51142, 53499, 51142, 50801, 76840, 55547, 51419, 51027, 51417, 50900, 51417, 50916, 51417, 51349, 51191, 52133, 51318, 52626, 51318, 59439, 51148, 51656, 51148, 52806, 51162, 51660, 51162, 51607, 51162, 60627, 51835, 56617, 51283, 52225, 51283, 51230, 52080, 50426, 53389, 51003, 52430, 51003, 52806, 50917, 51614, 50917, 51808, 75478, 56823, 64231, 51628, 51279, 50878, 72651, 52133, 51058, 52626, 51058, 52806, 50917, 51660, 50917, 51607, 50917, 67991, 66240, 51911, 50301, 62649, 58532, 50943, 51181, 51003, 55430, 51097, 51615, 51003, 51838, 51097, 54307, 51003, 53722, 51189, 51440, 51189, 60627, 66027, 57799, 50450, 51120, 51911, 50301, 62649, 65593, 50943, 51181, 51003, 55430, 51097, 52332, 51003, 51838, 51097, 55248, 61737, 56823, 64231, 51754, 67991, 55524, 51145, 50861, 51145, 72734, 50876, 51145, 51132, 51191, 51656, 51318, 55815, 51318, 54720, 51148, 52036, 51148, 53369, 51162, 51660, 51162, 51440, 51162, 51607, 51162, 51976, 54853, 51835, 52133, 51283, 52626, 51283, 51230, 52080, 50426, 51743, 51003, 53718, 51003, 53369, 50917, 51614, 50917, 51434, 50917, 51808, 75478, 56823, 64231, 51628, 65248, 51656, 51058, 55815, 51058, 53369, 51103, 51660, 51103, 51607, 51103, 51190, 52080, 66240, 51911, 50301, 62649, 58532, 50943, 51181, 51003, 55430, 51097, 51615, 51003, 51838, 51097, 54307, 51003, 60627, 66027, 65936, 50450, 51120, 51911, 50301, 62649, 65593, 50943, 51181, 51003, 55430, 51097, 52332, 51003, 51838, 51097, 55248, 61737, 56823, 64231, 51754, 50801, 76840, 57542, 51145, 50899, 51145, 50861, 51145, 51137, 51183, 52187, 51318, 61052, 51318, 53817, 51148, 52137, 51148, 52769, 51189, 51614, 51189, 51434, 51189, 51808, 51189, 60627, 51835, 51881, 51283, 52886, 51283, 67991, 50426, 51615, 51003, 54307, 61737, 56823, 64231, 51628, 52187, 51058, 61052, 51058, 67991, 55827, 51183, 55430, 51145, 52033, 51148, 51838, 51145, 53828, 51148, 56194, 53259, 51614, 53259, 51440, 53259, 51669, 53259, 60627, 51820, 51027, 51484, 75099, 50989, 51484, 53389, 52136, 52430, 52136, 67991, 51955, 56823, 64231, 51754, 51027, 50933, 63383, 50989, 50933, 51881, 51210, 52886, 51210, 67991, 57551, 51419, 51086, 51417, 50916, 73327, 51417, 51374, 51191, 56617, 51047, 51615, 51145, 52225, 51047, 54307, 51145, 55243, 51189, 52745, 51189, 51434, 51189, 51808, 51189, 51976, 54853, 51835, 53541, 52441, 53499, 52441, 51230, 52080, 51768, 56823, 64231, 51628, 51315, 50878, 51374, 50805, 52033, 51142, 53828, 51142, 51190, 52080, 50438, 51324, 51419, 51086, 51417, 50899, 51417, 50989, 51417, 51857, 51183, 51881, 51318, 52886, 51318, 62146, 51148, 52187, 51148, 58748, 51189, 52745, 51189, 51434, 51189, 51669, 51162, 60627, 51820, 57633, 51283, 53129, 51283, 51340, 52080, 50450, 53541, 51003, 53499, 61737, 56823, 64231, 51754, 51324, 50878, 51881, 51058, 52886, 70263, 76840, 55547, 72272, 60015, 59391, 50943, 51349, 51003, 59439, 51097, 52133, 51003, 51656, 51097, 52626, 51003, 56090, 51162, 52806, 51162, 51660, 51162, 51607, 51162, 60627, 59078, 57799, 70161, 51911, 50303, 62649, 58532, 50943, 51338, 51003, 55793, 51097, 52187, 51003, 51711, 51097, 61052, 51003, 54437, 50917, 51614, 50917, 51434, 50917, 51808, 75478, 56823, 64231, 51628, 54437, 50917, 51660, 50917, 51434, 50917, 51607, 50917, 67991, 66240, 51911, 50301, 62649, 58532, 50943, 51181, 51003, 55430, 51097, 51615, 51003, 51838, 51097, 54307, 51003, 53722, 51189, 51440, 51189, 60627, 66027, 57799, 50450, 51120, 51911, 50301, 62649, 65593, 50943, 51181, 51003, 55430, 51097, 52332, 51003, 51838, 51097, 55248, 61737, 56823, 64231, 51754, 67991, 50459, 53722, 50836, 51614, 50836, 51434, 50836, 54795, 51353, 51086, 51351, 50899, 51141, 50861, 51218, 51137, 51991, 52769, 51189, 52745, 51189, 51614, 51189, 51434, 51189, 60627, 51835, 53817, 51894, 52137, 51894, 51553, 59318, 50423, 51881, 51790, 52886, 51790, 50426, 51615, 51448, 54307, 51448, 51068, 71453, 53611, 51628, 51027, 51977, 50899, 51623, 50861, 51623, 51656, 50977, 55815, 50977, 52234, 55801, 59318, 50438, 52187, 51481, 61052, 51481, 50801, 56234, 53187, 53189, 51820, 51656, 51481, 55815, 51481, 51289, 53255, 52085, 53567, 51615, 51775, 54307, 51775, 51068, 67614, 53611, 51754, 51137, 50897, 52095, 52054, 65936, 50457, 51881, 50978, 52886, 50978, 56310, 51419, 51040, 51417, 50916, 51417, 79379, 51349, 51183, 53389, 51145, 52187, 51148, 52430, 51145, 61052, 51148, 52806, 51189, 51660, 51189, 51440, 51189, 52361, 51162, 51976, 69764, 53611, 51835, 52033, 52136, 53828, 52136, 67991, 51768, 56823, 64231, 51628, 70093, 51656, 51210, 55815, 51210, 67991, 56618, 51191, 55148, 51047, 52255, 51145, 53188, 51047, 56726, 51145, 54632, 51189, 51808, 51189, 52043, 51189, 51976, 53540, 51820, 51086, 51484, 50916, 51484, 50965, 51484, 53541, 52441, 53499, 52441, 52029, 52080, 51955, 56823, 64231, 51754, 77469, 60471, 50965, 50933, 51602, 50805, 52033, 51142, 53828, 51142, 50801, 76840, 59130, 51419, 51040, 51417, 50989, 51417, 79379, 51640, 51183, 51656, 51318, 55815, 51318, 57633, 51148, 53129, 51148, 56194, 51189, 52435, 51189, 51440, 51189, 52361, 51189, 60627, 51835, 53100, 51283, 53976, 51283, 67991, 50426, 52332, 51003, 55248, 61737, 56823, 64231, 51628, 51378, 50878, 51656, 51058, 55815, 51058, 67991, 50438, 51360, 51419, 51040, 51417, 50916, 51417, 50965, 51417, 51957, 51191, 60515, 51047, 52033, 51145, 52414, 51047, 53828, 51145, 56922, 51189, 52435, 51189, 51440, 51189, 52043, 51100, 60627, 51820, 55148, 52441, 53188, 52441, 67991, 51955, 56823, 64231, 51754, 51360, 50878, 51957, 50805, 53100, 51142, 53976, 51142, 50801, 76840, 59373, 51191, 51881, 51318, 52886, 51318, 62146, 51148, 52187, 51148, 52745, 51162, 51944, 51162, 51669, 51162, 60627, 51835, 51086, 51484, 75099, 50989, 51484, 57633, 51283, 53129, 51283, 51230, 52080, 50426, 53541, 51003, 53499, 51003, 52745, 50917, 51660, 50917, 52361, 75478, 56823, 64231, 51628 ]
[ 0, 250, 3152, 2214, 19, 5175, 4785, 6, 17407, 30, 63, 2933, 8, 15352, 30054, 5466, 6, 3185, 30, 5, 20425, 3222, 5785, 9, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 10, 20535, 2810, 4, 8504, 11, 5, 762, 9, 211, 3694, 8, 23396, 30, 10, 748, 1879, 15525, 20889, 6, 24, 30853, 19, 41, 9066, 8, 814, 12, 21330, 16464, 6, 4246, 10, 33215, 16739, 9, 230, 6, 272, 6, 274, 401, 6, 211, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50796, 50436, 51344, 53945, 51211, 58978, 51344, 63107, 51075, 57299, 51046, 72584, 51348, 72647, 51046, 63729, 51348, 51797, 55753, 51063, 52980, 50428, 51075, 53486, 51063, 52916, 50796, 51809, 51155, 51080, 55910, 51115, 50435, 57721, 51080, 50439, 51222, 51477, 51601, 51063, 50838, 51075, 51277, 50418, 58438, 58506, 57779, 51753, 50428, 51075, 51309, 50429, 51063, 51309, 58438, 53380, 50442, 51075, 51423, 50443, 51063, 54143, 50449, 51143, 77228, 51075, 52222, 76501, 58438, 51241, 50452, 51075, 51542, 51063, 51477, 52177, 57721, 51134, 50419, 51143, 61271, 55910, 51100, 50433, 51075, 51423, 50434, 51063, 51328, 50439, 55297, 75406, 55910, 53259, 50447, 51075, 51534, 50448, 51063, 51328, 50461, 51075, 51423, 64440, 51775, 50421, 51143, 51328, 50427, 51075, 52222, 50428, 51063, 52222, 55753, 55910, 51294, 50423, 51075, 51172, 51063, 51484, 50430, 51143, 51381, 50437, 55297, 58647, 51222, 51423, 51143, 51534, 50452, 55297, 51192, 51809, 51143, 51277, 55297, 72802, 51222, 51484, 50421, 55329, 51233, 50422, 51348, 51309, 50429, 55297, 52500, 50430, 51143, 52062, 50431, 51222, 52062, 60212, 51143, 51328, 51222, 51534, 50426, 55297, 51159, 50430, 51348, 51477, 50435, 55329, 51091, 50448, 51143, 77072, 51222, 51534, 55297, 51159, 51809, 51222, 51058, 51143, 50974, 55910, 51025, 50427, 55297, 50967, 50428, 51222, 51423, 51143, 51423, 50434, 55329, 51233, 50435, 51348, 51058, 50441, 55291, 51293, 50443, 51063, 52222, 50444, 51386, 52222, 50796, 50440, 51611, 51381, 55329, 51226, 50455, 51942, 52140, 50456, 55291, 51419, 56020, 51063, 52826, 50423, 51075, 52826, 50424, 58438, 52045, 50796, 50444, 51611, 51283, 50449, 55329, 51162, 50461, 51942, 51627, 51601, 55291, 51134, 50432, 51075, 52826, 51063, 52826, 58438, 53259, 50796, 50458, 51155, 51477, 52478, 57721, 51680, 50428, 51222, 51484, 50444, 51063, 67446, 51075, 57060, 58438, 77055, 51063, 50838, 51075, 51277, 50461, 58438, 50873, 57731, 51075, 51277, 50424, 51063, 69029, 58438, 51242, 50431, 51143, 51328, 50437, 51075, 52015, 50438, 51063, 54143, 58438, 51422, 52177, 51046, 51097, 50429, 51348, 51542, 50431, 58438, 51025, 50441, 57721, 51097, 50443, 51143, 51775, 50454, 55910, 51124, 50455, 51075, 51328, 51063, 51423, 55753, 51063, 50974, 51075, 51328, 55910, 67449, 51075, 51423, 51063, 52222, 55910, 51158, 50440, 55297, 51100, 50441, 51143, 50974, 50446, 51075, 52015, 50447, 55910, 51585, 75695, 51063, 51337, 51075, 51480, 50440, 51075, 51423, 50441, 51063, 51749, 50442, 55910, 67636, 55297, 50981, 50448, 51143, 51097, 52177, 51143, 51423, 50418, 51222, 51277, 50419, 55297, 79935, 66745, 51222, 50932, 55297, 55122, 64421, 55329, 50845, 50442, 55297, 71493, 51143, 52062, 50446, 51222, 51592, 50453, 55297, 51452, 61627, 51143, 51423, 50439, 51222, 75576, 55297, 51112, 50446, 51348, 78378, 55329, 51097, 50799, 55297, 50915, 50416, 51143, 50974, 51222, 51328, 50428, 51143, 51328, 55910, 57102, 51222, 68861, 51222, 51328, 51143, 51328, 55297, 51100, 50447, 51348, 51008, 50448, 55329, 51101, 50454, 55291, 52071, 50455, 51063, 52222, 51386, 52222, 76501, 55329, 51541, 50452, 51611, 50995, 52177, 51942, 51148, 55291, 51318, 50432, 51075, 55408, 50433, 51063, 55408, 58438, 52821, 50796, 52591, 51611, 51283, 50422, 55329, 51566, 50437, 51942, 51627, 55291, 51965, 50456, 57721, 50837, 58438, 52919, 50457, 51063, 54143, 51075, 54143, 50796, 50796, 51658, 56583, 51031, 50440, 51326, 51031, 52129, 57276, 51289, 77300, 51326, 56385, 51456, 54844, 50811, 59986, 50388, 51985, 51031, 50799, 51611, 51029, 52576, 51496, 51206, 56583, 51505, 54833, 51029, 55865, 51496, 54295, 51496, 50416, 52103, 51029, 52389, 50824, 50431, 51063, 51446, 51075, 51446, 50432, 51598, 51141, 50852, 50936, 55282, 51091, 52719, 51274, 50433, 55291, 51745, 51963, 51059, 50436, 50843, 51192, 62434, 63816, 51611, 52097, 54833, 52512, 52103, 51274, 50450, 52576, 51285, 51206, 52784, 51496, 55865, 51496, 54295, 51059, 50451, 50852, 50882, 52177, 55282, 51585, 52719, 53174, 50419, 51063, 51141, 51963, 51407, 50420, 51075, 51141, 55291, 51300, 50423, 51598, 51204, 50427, 50798, 54362, 51611, 50893, 52576, 51237, 57721, 51138, 50439, 50852, 56409, 69455, 58438, 52284, 51063, 51227, 51075, 51227, 51598, 54796, 50866, 50449, 58438, 52175, 51611, 50896, 51598, 70811, 51160, 50451, 50852, 62223, 57721, 50860, 65409, 53174, 51704, 51486, 51206, 58842, 50798, 51095, 50417, 58438, 52038, 51063, 61846, 50991, 58438, 52119, 58438, 61546, 50816, 63747, 50852, 52965, 50581, 51022, 50443, 50843, 75553, 57779, 50975, 50449, 51521, 51189, 51206, 55254, 51348, 51191, 52343, 58747, 51013, 50461, 57779, 50860, 52478, 58438, 68107, 51348, 50882, 51521, 51008, 52343, 59432, 50816, 57480, 51521, 50882, 51348, 51033, 52343, 52972, 50975, 50427, 50852, 54974, 52343, 54259, 51521, 50882, 58438, 50824, 50437, 51632, 51646, 51348, 51033, 51521, 65678, 63747, 50852, 59779, 51598, 51218, 50443, 50843, 59187, 51143, 51496, 51222, 51496, 51289, 62485, 51206, 77300, 58438, 53851, 57721, 57891, 58438, 51072, 57613, 55273, 50816, 50860, 78855, 62343, 51505, 55865, 51189, 55282, 50844, 54295, 51059, 52103, 51496, 50415, 51611, 51685, 50852, 50884, 54833, 51029, 52389, 58542, 55282, 51413, 50431, 51063, 51204, 55291, 68025, 51075, 51204, 51598, 51115, 50852, 50813, 52719, 51496, 51963, 51761, 50434, 50852, 59646, 51206, 54898, 54328, 58710, 51611, 51551, 52576, 51472, 50852, 54451, 51496, 54833, 51029, 52103, 51364, 55865, 52195, 54295, 51029, 52478, 55291, 57214, 55282, 51422, 52719, 53174, 51963, 51009, 50423, 51063, 51077, 51598, 51134, 50424, 51075, 67297, 50852, 66770, 50798, 54362, 52576, 57877, 50961, 57721, 51030, 50439, 50816, 69455, 58438, 55920, 51598, 54803, 52576, 52843, 51598, 51412, 50852, 53662, 51160, 58438, 66054, 51063, 51400, 51075, 51400, 50454, 50843, 58740, 57721, 50823, 65409, 51352, 51704, 51253, 57779, 59413, 50798, 51095, 52389, 50991, 57779, 58860, 51521, 50976, 51704, 63605, 57779, 61964, 51063, 51059, 50435, 58850, 53925, 51704, 51412, 51206, 53671, 54898, 51012, 57779, 50975, 54032, 54988, 51521, 51059, 52343, 51091, 51206, 50361, 51005, 50889, 57779, 50975, 50451, 51348, 51059, 57752, 50803, 57779, 52410, 51348, 50859, 52343, 55309, 50803, 58850, 66350, 51521, 65291, 51206, 55164, 58099, 57779, 57480, 51348, 50880, 51521, 50821, 52343, 75342, 53756, 59959, 57779, 60896, 51632, 51255, 50437, 51521, 51379, 51348, 51379, 50438, 50852, 56409, 50802, 57779, 66609, 58850, 66066, 51222, 51496, 51598, 51115, 50843, 51051, 51289, 50802, 57779, 51021, 50445, 51143, 51541, 50447, 58438, 51573, 50450, 51206, 52259, 55273, 50816, 50860, 50799, 51611, 52195, 52576, 51496, 50852, 54451, 51505, 54833, 51029, 52103, 51274, 55865, 51496, 54295, 51029, 52389, 50824, 50431, 51075, 51446, 50432, 51063, 51446, 51598, 51417, 55282, 51761, 52719, 51496, 50433, 55291, 51029, 51963, 51091, 50434, 50852, 59646, 51206, 56409, 65196, 50843, 63500, 51611, 51446, 50852, 57099, 52576, 63732, 51496, 52103, 51417, 64434, 50800, 55865, 51189, 54295, 51029, 50451, 54833, 51029, 52591, 51598, 51218, 55291, 51009, 55282, 52392, 52719, 52392, 52851, 69264, 51063, 51141, 51075, 50983, 51963, 52195, 50426, 50852, 59953, 50798, 64141, 51611, 67174, 52576, 60105, 56332 ]
[ 0, 250, 5679, 26709, 8, 19448, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 3741, 27374, 594, 6, 32017, 6, 8, 3551, 139, 4, 20, 2635, 20889, 8, 3694, 762, 5042, 7, 5, 2933, 8, 43580, 3693, 5466, 4, 20, 1049, 33215, 16739, 6, 211, 119, 6, 1918, 6, 272, 119, 6, 8, 211, 6, 16, 6636, 1328, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 72191, 50458, 52661, 66426, 53874, 51072, 50799, 52508, 51066, 52661, 50802, 52118, 60208, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 59101, 53469, 50811, 52345, 60280, 53469, 65174, 52345, 57880, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 56771, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 59889, 52661, 56733, 52779, 50803, 74759, 50425, 53854, 50993, 52360, 54675, 52118, 67270, 52345, 62751, 53276, 61109, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 50458, 53074, 50803, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50415, 53074, 60449, 53074, 58099, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 50430, 53328, 62751, 53385, 61109, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 59587, 53385, 54554, 72000, 50461, 52724, 51072, 52118, 51072, 50799, 53874, 51066, 52360, 51066, 53276, 66350, 53276, 57615, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 73708, 52779, 61964, 52360, 61109, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 50865, 52661, 50860, 56326, 66426, 53874, 51072, 50799, 52508, 51066, 52661, 50802, 52118, 58320, 60588, 73354, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 59101, 53469, 50811, 52345, 50860, 61557, 65717, 53469, 65174, 52345, 56861, 61557, 54496, 60588, 58212, 61557, 57776, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 76190, 56326, 51029, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 56575, 56326, 62181, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 50823, 60588, 50976, 50418, 52661, 67721, 61557, 57646, 52779, 50803, 74759, 60588, 63606, 53854, 50993, 52360, 54675, 52118, 50993, 79355, 65717, 52345, 54684, 50725, 50338, 58167, 66105, 55996, 53276, 61109, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 60588, 51029, 50458, 53074, 52937, 60588, 50823, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50415, 53074, 50802, 50725, 50342, 73129, 53074, 54381, 50725, 50342, 63606, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 60588, 66605, 53328, 50860, 66105, 55996, 53385, 59184, 50725, 50338, 57880, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 50817, 79355, 51300, 50445, 53385, 54554, 72000, 50461, 52724, 51072, 52118, 51072, 50799, 53874, 51066, 52360, 51066, 53276, 50802, 66105, 52410, 60588, 59852, 53276, 50803, 74706, 63606, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 51072, 56326, 65717, 52779, 54179, 60060, 59009, 52360, 55996, 74706, 57880, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 60588, 51009, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 66426, 53874, 51072, 55030, 50824, 50799, 52508, 51066, 52661, 50802, 52118, 58320, 50725, 50342, 60208, 52118, 71249, 50725, 50342, 59852, 79355, 57646, 52661, 50803, 50725, 50338, 71577, 53874, 51072, 50425, 52508, 50993, 57889, 54107, 53469, 50811, 52345, 66057, 79355, 54396, 53469, 66605, 79355, 52726, 50725, 50338, 59009, 52345, 56861, 66105, 66519, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 56774, 58769, 60588, 62148, 56326, 59135, 53854, 50803, 52360, 50823, 60588, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50725, 50338, 60646, 66105, 60370, 52779, 50803, 60588, 67903, 53879, 73300, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 50823, 50725, 50342, 60208, 52661, 50823, 50725, 50342, 60861, 79355, 59852, 50725, 50338, 63541, 52779, 50803, 74759, 50424, 53398, 50993, 50425, 53854, 50993, 52360, 54675, 52118, 50993, 50725, 50345, 55396, 52345, 54684, 57889, 61964, 50725, 50343, 56987, 53276, 50823, 50725, 50342, 58198, 56774, 51300, 50437, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 50725, 50342, 51029, 50458, 53074, 50803, 60588, 62181, 55030, 51009, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50725, 50342, 58320, 53074, 50802, 50418, 50725, 50342, 53213, 50725, 50338, 57646, 53074, 50811, 66105, 58242, 50725, 50338, 60517, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 60588, 58656, 53328, 65492, 50725, 50342, 73637, 53385, 65733, 53879, 51009, 50437, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 50817, 79355, 60178, 79355, 59587, 53385, 63999, 66105, 52768, 72000, 61557, 51066, 50461, 52724, 51072, 52118, 51072, 53398, 51059, 50799, 53874, 51066, 52360, 51066, 53276, 50802, 79355, 62601, 50725, 50342, 60208, 50725, 50343, 53213, 79355, 59852, 53276, 52801, 50725, 50347, 50975, 50425, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 73708, 52779, 50823, 57889, 50975, 50431, 50725, 50350, 57476, 52360, 55996, 50725, 50349, 58198, 55030, 51300, 50437, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 50725, 50347, 51029, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 66426, 53874, 51072, 55030, 50824, 50799, 52508, 51066, 52661, 50802, 52118, 60208, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 50993, 57889, 54107, 53469, 50811, 52345, 60280, 53469, 65174, 52345, 57880, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 56774, 51009, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 58055, 53879, 73300, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 59889, 52661, 56733, 52779, 50803, 74759, 50424, 53398, 50993, 50425, 53854, 50993, 52360, 54675, 52118, 67270, 52345, 54684, 57889, 55996, 53276, 65733, 56774, 51300, 50437, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 50458, 53074, 56771, 55030, 51009, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50415, 53074, 60449, 53074, 58099, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 50430, 53328, 62751, 53385, 65733, 53879, 51009, 50437, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 59587, 53385, 54554, 72000, 50461, 52724, 51072, 52118, 51072, 53398, 51059, 50799, 53874, 51066, 52360, 51066, 53276, 66350, 53276, 57615, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 73708, 52779, 50823, 57889, 50975, 50433, 52360, 65733, 55030, 51300, 50437, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 66426, 53874, 51072, 55030, 50824, 50799, 52508, 51066, 52661, 50802, 52118, 60208, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 50993, 57889, 54107, 53469, 50811, 52345, 60280, 53469, 65174, 52345, 57880, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 56774, 51009, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 58055, 53879, 73300, 53480, 50993, 52661, 50811, 52508, 50993, 50799 ]
[ 0, 250, 30389, 28668, 3152, 2214, 11, 230, 3694, 6, 4246, 10, 11739, 9, 5175, 4785, 4, 20, 13305, 8, 38668, 483, 2324, 5, 33301, 6, 2800, 30, 5, 38668, 9590, 6, 32909, 6, 8, 21072, 4, 13231, 5, 2125, 6, 5, 33215, 16739, 9, 230, 119, 406, 6, 274, 6, 8, 272, 119, 35315, 6, 2351, 10, 3344, 9, 2933, 8, 32076, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53942, 50918, 77400, 52629, 52910, 52039, 51048, 51579, 51048, 50436, 51641, 50800, 55558, 51724, 56787, 50918, 77400, 52629, 52728, 52039, 51048, 51579, 51048, 50460, 51641, 50800, 55558, 50800, 50799, 55129, 50918, 77400, 52629, 52910, 52039, 51048, 51579, 51048, 50436, 51641, 50800, 55558, 51724, 61053, 50918, 77400, 52629, 52728, 52039, 51048, 51579, 67523, 52713, 50818, 52713, 56637, 52713, 50818, 52713, 53902, 52713, 50818, 52713, 56904, 52713, 50818, 52713, 50818, 50799, 53942, 50918, 77400, 52629, 50807, 52713, 50807, 52713, 53561, 52713, 50807, 52713, 52910, 52039, 51048, 51579, 68175, 52713, 50800, 52713, 57083, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 58480, 51641, 50800, 55558, 59321, 52713, 50818, 52713, 52565, 56787, 50918, 77400, 52629, 50807, 52811, 50807, 52811, 53218, 52811, 50807, 52811, 52728, 52039, 51048, 51579, 67523, 52811, 50800, 52811, 57459, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 59342, 51641, 50800, 55558, 57614, 52811, 50818, 52811, 50818, 50799, 55129, 50918, 77400, 52629, 50807, 51758, 50807, 51758, 53561, 51758, 50807, 51758, 52910, 52039, 51048, 51579, 68175, 51758, 50800, 51758, 57083, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 58480, 51641, 50800, 55558, 59321, 51758, 50818, 51758, 52565, 54885, 50918, 77400, 52629, 50807, 52687, 50795, 52687, 51918, 51758, 50795, 51758, 51798, 52039, 51048, 51579, 51048, 52687, 50795, 52687, 51923, 54076, 50795, 54076, 50795, 50799, 53942, 50918, 77400, 52629, 50807, 52713, 50807, 52713, 53561, 52713, 50807, 52713, 52910, 52039, 51048, 51579, 68175, 52713, 50800, 52713, 57083, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 58480, 51641, 50800, 55558, 59321, 52713, 50818, 52713, 52565, 56787, 50918, 77400, 52629, 50807, 52811, 50807, 52811, 53218, 52811, 50807, 52811, 52728, 52039, 51048, 51579, 67523, 52811, 50800, 52811, 57459, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 59342, 51641, 50800, 55558, 57614, 52811, 50818, 52811, 50818, 50799, 55129, 50918, 77400, 52629, 50807, 51758, 50807, 51758, 53561, 51758, 50807, 51758, 52910, 52039, 51048, 51579, 68175, 51758, 50800, 51758, 50800, 53354, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 58480, 51641, 50800, 55558, 59321, 51758, 50818, 51758, 52565, 54885, 50918, 77400, 52629, 50807, 52687, 50795, 52687, 50795, 53354, 51918, 51758, 50795, 51758, 50795, 53283, 51798, 52039, 51048, 51579, 51048, 52687, 50795, 52687, 50795, 53354, 51923, 54076, 50795, 54076, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 52115, 52713, 50807, 52713, 58109, 56252, 51289, 50795, 53844, 51631, 50861, 54666, 57367, 63734, 54397, 50795, 54505, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 53787, 68406, 52108, 54397, 50795, 53283, 53312, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50983, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252, 51289, 52115, 51758, 50807, 51758, 58750, 57367, 56645, 54397, 56252, 51289, 51631, 50965, 57367, 56645, 63734, 54397, 50795, 53354, 51736, 51758, 50800, 51758, 51475, 56252, 51289, 50795, 53283, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 59321, 51758, 50818, 51758, 52565, 52687, 50795, 52687, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53354, 51918, 51758, 50795, 51758, 54397, 56252, 51289, 50795, 53283, 53658, 50906, 55673, 56645, 51798, 52687, 50795, 52687, 63734, 54397, 50795, 53354, 51923, 54076, 50795, 54076, 56645, 54397, 56252, 51289, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 53561, 52713, 50807, 52713, 58109, 56252, 51289, 51631, 50861, 54666, 57367, 63734, 54397, 50795, 54505, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 53787, 68406, 52108, 54397, 50795, 53283, 53312, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50918, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252, 51289, 52115, 51758, 50807, 51758, 58750, 54397, 56252, 51289, 51631, 51001, 56645, 63734, 54397, 51736, 51758, 50800, 51758, 62674, 54397, 56252, 51289, 50795, 53354, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 59321, 51758, 50818, 51758, 52565, 52687, 50795, 52687, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53354, 51918, 51758, 50795, 51758, 54397, 56252, 51289, 50795, 53283, 53658, 50906, 55673, 56645, 51798, 52687, 50795, 52687, 63734, 54397, 50795, 53354, 51923, 54076, 50795, 54076, 56645, 54397, 56252, 51289, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 52115, 52713, 50807, 52713, 58109, 56252, 51289, 50795, 53844, 51631, 50861, 54666, 57367, 63734, 54397, 50795, 54505, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 53787, 68406, 52108, 54397, 50795, 53283, 53312, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50918, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252, 51289, 52115, 51758, 50807, 51758, 58750, 54397, 56252, 51289, 51631, 51001, 56645, 63734, 54397, 51736, 51758, 50800, 51758, 62674, 54397, 56252, 51289, 50795, 53283, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 59321, 51758, 50818, 51758, 52565, 52687, 50795, 52687, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53354, 51918, 51758, 50795, 51758, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53283, 51798, 52687, 50795, 52687, 56730, 55673, 56645, 63734, 54397, 50795, 53354, 51923, 54076, 50795, 54076, 54397, 56252, 51289, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 52115, 52713, 50807, 52713, 58109, 56252, 51289, 50795, 54505, 52910, 50861, 54666, 57367, 63734, 54397, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 55668, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 55668, 68406, 52108, 54397, 50795, 54505, 51923, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50918, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252 ]
[ 0, 250, 8787, 3495, 8, 15855, 24904, 2125, 14, 7630, 6568, 10, 32076, 8, 12298, 1619, 4780, 149, 63, 15352, 30054, 4798, 17130, 4, 6208, 38645, 8669, 8, 13602, 6757, 483, 5, 169, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 12577, 81, 9756, 8669, 15039, 10776, 4, 8504, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 11498, 10, 20902, 20889, 9, 18817, 13410, 228, 2289, 6, 4246, 10, 16331, 33215, 16739, 9, 274, 119, 6, 163, 43531, 6, 230, 119, 6, 274, 119, 6, 8, 163, 43531, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51601, 51583, 70325, 51583, 51162, 50427, 51943, 51346, 50439, 51856, 51291, 51601, 51856, 51359, 50416, 51245, 51264, 51601, 51497, 50845, 50416, 52074, 50917, 50421, 51823, 50918, 51856, 51591, 50451, 51583, 51346, 51601, 52551, 51359, 50416, 51498, 51264, 51601, 51498, 60751, 52023, 69012, 51583, 72068, 52023, 51060, 50439, 52971, 51191, 50457, 52551, 51717, 50458, 51498, 52149, 50796, 51601, 52356, 51227, 50796, 50439, 51132, 50921, 50445, 51533, 67098, 51957, 50921, 50457, 51338, 50830, 50799, 51488, 50889, 50415, 68041, 50828, 51727, 50940, 52021, 50937, 51164, 50866, 51037, 50987, 76608, 63588, 50939, 61434, 79057, 50910, 51040, 50897, 61617, 75757, 52336, 50807, 54006, 51048, 51722, 50917, 52170, 50938, 52037, 50937, 50421, 52093, 51727, 50889, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50861, 50895, 50997, 50897, 51040, 50925, 67559, 51722, 50937, 52170, 50917, 52037, 50866, 50424, 50861, 52639, 51165, 69012, 52924, 50895, 52021, 50987, 51164, 50978, 51037, 51058, 51017, 51058, 61523, 50939, 51962, 50300, 50897, 68526, 50956, 50910, 51641, 50917, 52264, 50917, 52194, 50917, 51986, 50937, 51567, 50917, 52184, 53961, 72165, 50433, 52093, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50877, 79057, 51157, 51040, 70651, 51048, 51509, 50800, 52336, 50800, 54006, 50800, 51783, 50937, 51722, 50917, 52170, 50866, 50436, 51132, 77439, 60470, 52924, 50895, 51526, 50940, 52021, 50987, 51164, 50978, 51037, 51058, 51017, 51058, 61523, 50939, 60127, 50820, 51722, 50917, 52170, 50938, 52037, 59352, 51165, 51189, 50445, 52093, 51526, 50865, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50861, 50895, 50997, 51162, 51040, 51377, 50871, 51346, 51722, 51191, 52170, 51204, 52037, 51241, 50448, 50861, 55223, 52620, 50895, 51132, 50910, 52021, 50987, 51164, 50978, 51037, 51058, 51017, 51058, 61523, 69081, 50457, 52093, 51526, 50808, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50965, 50895, 51176, 73456, 60637, 50938, 51641, 50865, 52264, 50938, 52194, 50938, 50460, 51132, 63748, 50820, 79152, 68381, 52924, 50895, 51727, 50940, 52021, 51151, 51164, 51293, 50861, 79057, 50910, 51040, 50897, 61617, 51509, 51048, 52336, 50807, 54006, 51048, 50416, 51037, 51313, 51017, 51313, 50872, 51293, 50939, 52071, 50420, 51201, 60751, 52093, 51727, 57631, 50895, 50997, 50897, 51040, 50925, 67559, 50424, 50861, 52639, 51395, 74083, 52620, 50895, 51176, 50897, 68526, 50956, 50910, 51641, 50917, 52264, 50917, 52194, 56504, 51488, 68233, 52093, 50877, 79057, 51157, 51040, 70651, 51048, 51509, 50800, 52336, 50800, 54006, 58480, 51132, 77439, 52904, 51165, 61187, 52924, 50895, 67180, 50861, 58655, 51132, 52711, 51375, 65756, 52093, 51727, 64294, 50895, 50997, 51162, 51040, 51377, 50871, 51346, 50448, 50861, 52725, 51154, 67070, 52620, 50895, 51132, 55037, 51375, 69495, 52093, 51727, 63748, 50895, 50997, 52098, 50305, 57911, 50938, 50460, 51132, 63748, 50820, 50799, 51426, 52903, 50415, 71329, 50825, 51533, 50940, 51751, 50937, 51037, 50866, 76080, 75251, 50939, 61434, 79057, 50910, 50956, 50897, 77206, 52314, 51048, 52336, 50807, 53397, 51048, 50421, 52093, 51533, 50889, 51751, 62436, 50844, 64130, 59358, 66249, 50861, 50895, 50997, 50897, 50956, 50925, 50989, 50910, 50424, 50861, 55477, 52620, 50895, 51751, 50987, 51037, 50978, 50979, 51058, 64873, 50939, 51962, 50300, 50897, 51040, 50925, 67559, 51509, 50917, 52264, 50917, 54006, 50917, 50433, 52093, 51751, 62436, 50844, 64130, 59358, 66249, 50877, 79057, 51157, 50956, 51159, 50989, 51048, 52314, 50800, 52336, 50800, 53397, 58480, 51526, 77439, 60470, 52924, 50895, 52585, 50940, 51751, 50987, 51037, 50978, 50979, 51058, 64873, 50939, 60127, 57460, 52093, 52585, 50865, 51751, 62436, 50844, 64130, 59358, 66249, 50861, 50895, 50997, 51162, 50956, 51377, 50989, 51346, 50448, 50861, 55223, 52620, 50895, 51526, 50938, 51751, 50987, 51037, 50978, 50979, 51058, 64873, 69081, 50457, 52093, 52585, 50800, 51751, 62436, 50844, 64130, 59358, 66249, 50965, 50895, 51176, 52098, 50305, 57911, 50938, 51509, 50865, 52264, 50938, 54006, 50938, 50460, 51526, 63748, 50820, 51601, 52055, 51865, 50820, 52585, 50858, 51751, 51397, 51037, 51448, 50861, 79057, 50910, 50956, 50897, 77206, 52314, 51048, 52336, 50807, 53397, 51048, 50416, 50979, 51535, 50944, 51448, 50939, 51448, 50418, 51526, 60721, 51206, 50828, 51533, 57631, 50895, 50997, 50897, 50956, 50925, 50989, 50910, 50424, 50861, 55477, 52620, 50895, 51176, 50897, 51040, 50925, 67559, 51509, 50917, 52264, 50917, 54006, 50917, 50433, 52093, 50877, 79057, 50910, 50956, 50897, 77206, 52314, 50808, 52336, 50808, 53397, 63116, 51533, 77439, 52904, 51491, 66326, 52924, 50895, 51533, 50948, 51751, 50833, 51037, 60296, 50844, 50944, 69802, 50861, 79057, 50897, 50956, 50925, 50989, 50910, 52314, 50808, 52336, 50808, 53397, 52711, 51375, 59513, 52093, 51132, 50991, 51164, 51134, 50885, 51391, 50872, 51419, 50992, 51391, 50909, 51391, 50861, 50895, 50900, 51204, 50871, 51191, 50965, 51091, 52264, 50983, 52629, 50983, 53192, 50983, 50448, 50861, 52725, 51491, 64847, 52620, 56246, 51375, 54353, 51165, 68451, 52924, 50828, 51533, 63748, 56924, 51093, 70132, 51132, 63748, 50820, 50799, 51488, 51048, 50415, 71329, 50825, 51640, 50940, 51506, 50937, 76608, 75251, 50939, 61434, 79057, 50910, 51040, 50897, 77206, 52314, 51048, 52336, 50807, 54006, 51048, 51722, 51162, 52170, 51346, 52037, 51377, 50421, 52093, 51640, 50889, 51506, 50810, 69950, 59358, 66249, 50861, 50895, 50997, 50897, 51040, 50925, 50989, 50910, 50424, 50861, 52639, 51165, 69012, 52620, 50895, 51506, 50987, 51017, 51058, 64873, 50939, 51962, 50300, 50897, 68526, 67559, 51509, 50917, 52264, 50917, 52194, 50917, 51986, 50937, 51567, 50917, 52184, 53961, 72165, 50433, 52093, 51506, 50810, 69950, 59358, 66249, 50877, 79057, 51157, 51040, 51159, 50989, 51048, 52314, 50800, 52336, 50800, 54006, 50800, 51783, 50937, 51722, 50917, 52170, 50866, 50436, 52458, 77439, 60470, 52924, 50895, 54423, 50940, 51506, 50987, 51017, 51058, 64873, 50939, 60127, 50820, 51722, 50917, 52170, 50938, 52037, 59352, 51165, 51189, 50445, 52093, 54423, 50865, 51506, 50810, 69950, 59358, 66249, 50861, 50895, 50997, 51162, 51040, 51377, 50989, 51346, 51722, 51191, 52170, 51204, 52037, 51241, 50448, 50861, 55223, 52620, 50895, 52458, 50938, 51506, 50987, 51017, 51058, 64873, 69081, 50457, 52093, 54423, 50800, 51506, 50810, 69950, 59358, 66249, 50965, 50895, 50997, 52098, 50305, 75762, 50938, 52314, 50865, 52336, 50865, 54006, 50938, 50460, 52458, 63748, 50820, 51601, 71329, 50825, 51132, 50858, 51164, 51397, 50885, 51535, 50861, 68095, 51413, 78549, 50877, 51446, 51509, 51157, 52067, 51157, 52194, 51048, 50416, 50872, 51448, 50850, 51448, 50418, 51338, 52734, 51266, 50879, 50421, 52093, 58154, 57631, 64527, 50861, 52639, 51395, 61156, 52620, 53644, 51488, 68233, 52093, 50877, 58316, 58154, 77439, 52904, 51395, 51157, 50439, 52924, 50895, 58154, 50948, 51164, 51397, 50946, 51535, 50861, 68095, 51446, 50956, 51413, 50989, 51413, 50877, 51291, 51509, 51048, 52067, 51048, 52194, 51048, 50440, 50979, 51448, 50944, 51448, 50445, 52093, 58154, 62111, 66119, 50861, 52725, 51395, 51157, 50451, 52620, 50895, 51844, 68063, 52093, 51844, 73278, 64601, 50965 ]
[ 0, 250, 20902, 8, 15352, 30054, 765, 2214, 14, 28337, 4785, 9, 5175, 8, 15855, 930, 6, 4246, 10, 13305, 8, 24896, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 12701, 4450, 20889, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 11098, 8, 1007, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50637, 51038, 73567, 50821, 51085, 51060, 50417, 50861, 53113, 65585, 51026, 51060, 50423, 50968, 54149, 50916, 75672, 75208, 53194, 50304, 62109, 51026, 56472, 67734, 50923, 51057, 50973, 50821, 50931, 50950, 50899, 68282, 79289, 50931, 50894, 51026, 52483, 51086, 51060, 50861, 61908, 53566, 61795, 73567, 51460, 50861, 51160, 50876, 51653, 50423, 50899, 50821, 61293, 50973, 64830, 50894, 53523, 73796, 56472, 61552, 52309, 50900, 56294, 57253, 65544, 50795, 78246, 64816, 77079, 51237, 56978, 52247, 50861, 52370, 50315, 58050, 50806, 51057, 66642, 63302, 51487, 53066, 60300, 72147, 51487, 53450, 62504, 60299, 51430, 52658, 60256, 72147, 51430, 50844, 51057, 63302, 51339, 67316, 55689, 72147, 51339, 50844, 50902, 53172, 50951, 74563, 58692, 51003, 51057, 51062, 51235, 50877, 56831, 51958, 50322, 50943, 50423, 51146, 52654, 50899, 59389, 58007, 51519, 50322, 51260, 50332, 54100, 50899, 59023, 58363, 78809, 51853, 50332, 50892, 78246, 56190, 75623, 72117, 50914, 56978, 53172, 50968, 52363, 50328, 52434, 50304, 54777, 51085, 50845, 51057, 53863, 51519, 50292, 55689, 53863, 65327, 58363, 66386, 53890, 53771, 51458, 50296, 54777, 53771, 52434, 50308, 58127, 58363, 50873, 51057, 53407, 77782, 55689, 53407, 79449, 58127, 66228, 53890, 53077, 51056, 51086, 65480, 60138, 63129, 50914, 51057, 53250, 51110, 50900, 61027, 51203, 50876, 51124, 50423, 53077, 60924, 50822, 50902, 53049, 53771, 58007, 58903, 53387, 53771, 58363, 68081, 50905, 51057, 53771, 51159, 68622, 50968, 59391, 60726, 50989, 67175, 53077, 57682, 52415, 50315, 69138, 50901, 51057, 53863, 51519, 50332, 50844, 51085, 51101, 50417, 51487, 54448, 53863, 52434, 50332, 50874, 51026, 51101, 50423, 51487, 53881, 53771, 70553, 50822, 50916, 60581, 51242, 50429, 51430, 54221, 53771, 52434, 50328, 50874, 51026, 67869, 51430, 50874, 51057, 53407, 74822, 50844, 51214, 51101, 50417, 51339, 54448, 53407, 52434, 50330, 50874, 51026, 51101, 50423, 51339, 53881, 53077, 62649, 51458, 50303, 51242, 51220, 60307, 51026, 50987, 51057, 53077, 63663, 59353, 55041, 53077, 61875, 60318, 71274, 59353, 54335, 53771, 51178, 51120, 65655, 73377, 51027, 63327, 57807, 55602, 51682, 50322, 50833, 51057, 53863, 51159, 51026, 51644, 50303, 60126, 57933, 51120, 56307, 55062, 57682, 53536, 50287, 51074, 51057, 56213, 51110, 51214, 51101, 50902, 51203, 51220, 51124, 56978, 51101, 50423, 53250, 70197, 50822, 51062, 53049, 53077, 57911, 61433, 51568, 50330, 51519, 50303, 68766, 55343, 52434, 50320, 51644, 50329, 69324, 51101, 51057, 53077, 71125, 61433, 51455, 50330, 51519, 50303, 51242, 50420, 53771, 52434, 50299, 52415, 50323, 51644, 50332, 53890, 53250, 65430, 68184, 68547, 51741, 50328, 50914, 51057, 53863, 69718, 60126, 51455, 50332, 55099, 55602, 64608, 68800, 51644, 50331, 53890, 53407, 52545, 50315, 64213, 51568, 50330, 53308, 53771, 57253, 61527, 77406, 50873, 51057, 53771, 51159, 68622, 51062, 74335, 50995, 56978, 67175, 53077, 57682, 75213, 52363, 50327, 50901, 51057, 60293, 51354, 51315, 51460, 50916, 51460, 50423, 56587, 52236, 50297, 69857, 52422, 55062, 53275, 50299, 73796, 56087, 54812, 51919, 50301, 57442, 50806, 51057, 56213, 53318, 50303, 52362, 50315, 58808, 53250, 71327, 56501, 52247, 53771, 51566, 51085, 52530, 50299, 79230, 79237, 68638, 52530, 50320, 51237, 51057, 53077, 51379, 51214, 50901, 54569, 62543, 51853, 50315, 62149, 56213, 53939, 55062, 51919, 50291, 54777, 56587, 59238, 62543, 50892, 51057, 56587, 51566, 51120, 69324, 51619, 50303, 58134, 57519, 51214, 53172, 60293, 51919, 50294, 74682, 63682, 68184, 50914, 50437, 50951, 51101, 51057, 53771, 53275, 50292, 60581, 51514, 50332, 50849, 50419, 50968, 51242, 50420, 53250, 79443, 50873, 50425, 50876, 67732, 55062, 51919, 50296, 60581, 70452, 50849, 50431, 50861, 68766, 60293, 51919, 50320, 50873, 51057, 58613, 53275, 50297, 59353, 55689, 56587, 63621, 53172, 50619, 54812, 51160, 51378, 51411, 51027, 51411, 50956, 51162, 50876, 51400, 51057, 50637, 56213, 51379, 51026, 58871, 57348, 61622, 59573, 53250, 53939, 53077, 51919, 50292, 69836, 60241, 63129, 56217, 50619, 53863, 50936, 51057, 50637, 53771, 53275, 50292, 51134, 51026, 51241, 50916, 51134, 50876, 77952, 53250, 51055, 76133, 54221, 51062, 56149, 51430, 50874, 51057, 51487, 50844, 51085, 63327, 66147, 50951, 54448, 51062, 56174, 51430, 53881, 51487, 50822, 50861, 65064, 60412, 50951, 54221, 51430, 50874, 50861, 58363, 60698, 63302, 78246, 59374, 63191, 51712, 50333, 55041, 50861, 60379, 60126, 51853, 50333, 53770, 50861, 75591, 69517, 51608, 50330, 50896, 51057, 51062, 51221, 50877, 61739, 51800, 50322, 50943, 50423, 51146, 52654, 50899, 59389, 58007, 51519, 50322, 51260, 50332, 54100, 50899, 59023, 58363, 78809, 51853, 50332, 50892, 51057, 50973, 57094, 51242, 51146, 67780, 50995, 56978, 58192, 50968, 52363, 50328, 52434, 50304, 54777, 51085, 50845, 51057, 51579, 51519, 50292, 55689, 51579, 65327, 58363, 66386, 53890, 51744, 51458, 50296, 54777, 51744, 52434, 50308, 58127, 58363, 50873, 51057, 51509, 77782, 55689, 51509, 79449, 58127, 66228, 53890, 51485, 51056, 51086, 65480, 60138, 63129, 50914, 51057, 51431, 51110, 50900, 61027, 51203, 50876, 51124, 50423, 51485, 60924, 50822, 50902, 53049, 51744, 58007, 58903, 53387, 51744, 58363, 68081, 50905, 51057, 51744, 51159, 68622, 50968, 59391, 60726, 50989, 67175, 51485, 57682, 52415, 50315, 69138, 50901, 51057, 51579, 51519, 50332, 50844, 51085, 51101, 50417, 51487, 54448, 51579, 52434, 50332, 50874, 51026, 51101, 50423, 51487, 53881, 51744, 70553, 50822, 50916, 60581, 51242, 50429, 51430, 54221, 51744, 52434, 50328, 50874, 51026, 67869, 51430, 50874, 51057, 51509, 74822, 50844, 51214, 51101, 50417, 51339, 54448, 51509, 52434, 50330, 50874, 51026, 51101, 50423, 51339, 53881, 51485, 62649, 51458, 50303, 51242, 51220, 60307, 51026, 50987, 51057, 51485, 63663, 59353, 55041, 51485, 61875, 60318, 71274, 59353, 54335, 51744, 51178, 51120, 65655, 73377, 51027, 63327, 57807, 52314, 51682, 50322, 50833, 51057, 51579, 51159, 51026, 51644, 50303, 60126, 57933, 51120, 56307, 52039, 57682, 53536, 50287, 51074, 51057, 52298, 51110, 51214, 51101, 50902, 51203, 51220, 51124, 56978, 51101, 50423, 51431, 70197, 50822, 51062, 53049, 51485, 57911, 61433, 51568, 50330, 51519, 50303, 68766, 52061, 52434, 50320, 51644, 50329, 69324, 51101, 51057, 51485, 71125, 61433, 51455, 50330, 51519, 50303, 51242, 50420, 51744, 52434, 50299, 52415, 50323, 51644, 50332, 53890, 51431, 65430, 68184, 68547, 51741, 50328, 50914, 51057, 51579, 69718, 60126, 51455, 50332, 55099, 52314, 64608, 68800, 51644, 50331, 53890, 51509, 52545, 50315, 64213, 51568, 50330, 53308, 51744, 57253, 61527, 77406, 50873, 51057, 51744, 51159, 68622, 51062, 74335, 50995, 56978, 67175, 51485, 57682, 75213, 52363, 50327, 50901, 51057, 53808, 51354, 51315, 51460, 50916, 51460, 50423, 52334, 52236, 50297, 69857, 52422, 52039, 53275, 50299, 73796, 56087, 51898, 51919, 50301, 57442, 50806, 51057, 52298, 53318, 50303, 52362, 50315, 58808, 51431, 71327, 56501, 52247, 51744, 51566, 51085, 52530, 50299, 79230, 79237, 68638, 52530, 50320, 51237, 51057, 51485, 51379, 51214, 50901, 54569, 62543, 51853, 50315, 62149, 52298, 53939, 52039, 51919, 50291, 54777, 52334, 59238, 62543, 50892, 51057, 52334, 51566 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 38668, 2236, 483, 6, 7513, 30, 13305, 40286, 6, 31391, 1672, 9590, 6, 8, 12405, 21072, 6, 2351, 10, 5679, 26709, 5466, 10686, 13, 822, 50, 6717, 2369, 36546, 4, 20, 2125, 16, 11, 274, 10431, 538, 6, 34, 10, 7212, 20889, 9, 5962, 163, 5683, 6, 8, 3905, 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 ]	[ 54458, 50420, 50622, 50799, 52013, 53087, 52013, 53294, 52013, 53711, 52013, 50883, 51528, 53301, 50383, 53967, 50811, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 57793, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 53211, 51170, 57793, 50855, 53341, 50862, 51528, 53301, 50383, 53967, 50811, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 53211, 51170, 53301, 50855, 53341, 50862, 51528, 53301, 50383, 62006, 50811, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 54056, 50903, 57793, 52925, 51170, 57793, 50836, 53198, 53894, 50903, 57793, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 55932, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 53211, 51170, 57793, 50855, 53341, 50862, 51528, 53301, 50383, 62006, 50811, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 53211, 51170, 53301, 50855, 53341, 50862, 51528, 53301, 50383, 53967, 50811, 51374, 52208, 53214, 50820, 56654, 53113, 51170, 56460, 50862, 56335, 54007, 50913, 50813, 56654, 52422, 51270, 63973, 57793, 60387, 50809, 56335, 51192, 53649, 52925, 51170, 57793, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 78642, 53563, 51170, 53301, 50855, 78642, 50880, 53341, 50862, 78642, 50880, 51528, 53301, 50383, 62006, 50811, 51533, 51469, 59181, 50921, 53214, 52761, 51170, 53301, 50862, 59181, 55133, 50913, 50813, 59181, 57327, 51270, 63973, 57793, 60387, 50809, 53649, 50839, 65724, 54053, 51170, 53301, 50836, 59181, 50896, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 52616, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 50813, 59181, 54647, 51170, 53301, 50855, 59181, 50880, 53341, 50862, 59181, 50821, 51528, 53301, 50383, 53967, 50811, 51374, 52017, 58550, 51055, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 56335, 69460, 50903, 57793, 52925, 51170, 57793, 50836, 53198, 53894, 50903, 57793, 50380, 62006, 50811, 57684, 51055, 53491, 53524, 51170, 53301, 55932, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 57684, 53563, 51170, 57793, 50855, 57684, 50880, 53341, 50862, 56553, 50821, 51528, 53301, 50383, 53967, 50811, 51533, 51977, 55425, 50880, 53214, 50820, 54315, 54658, 51170, 53301, 50862, 54315, 55133, 50913, 50813, 54315, 53939, 51270, 63973, 57793, 60387, 50809, 54315, 50880, 53649, 50839, 54315, 52975, 51170, 53301, 50836, 54315, 51192, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 50813, 54315, 53675, 51170, 57793, 50836, 53721, 50840, 51640, 54988, 51270, 68511, 53301, 60387, 54460, 73059, 51236, 53301, 50813, 51640, 63695, 51170, 53301, 50855, 53341, 50862, 51533, 51033, 51528, 53301, 50383, 62006, 50811, 51374, 52208, 53214, 50820, 56335, 53336, 51170, 56460, 50862, 56335, 50880, 55618, 50813, 56654, 53939, 51270, 63973, 57793, 60387, 50809, 56335, 51192, 53649, 52925, 51170, 57793, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 78642, 54647, 51170, 57793, 50855, 78642, 50883, 53341, 50862, 78642, 50880, 51528, 53301, 50383, 53967, 50811, 51533, 52379, 59181, 50936, 53214, 52761, 51170, 53301, 50862, 59181, 50880, 55618, 50813, 59181, 55889, 51270, 63973, 53301, 60387, 50809, 53649, 50839, 59181, 52686, 51170, 53301, 50836, 65724, 50880, 53198, 50862, 59181, 57626, 50913, 50380, 62006, 50811, 53491, 50813, 59181, 54989, 51170, 57793, 50836, 59181, 50936, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 50813, 59181, 54647, 51170, 53301, 50855, 59181, 50880, 53341, 50862, 59181, 50880, 51528, 53301, 50383, 53967, 50811, 51374, 52208, 58550, 51055, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 53301, 60387, 50809, 56335, 69460, 50903, 57793, 52925, 51170, 57793, 50836, 53198, 53894, 50903, 57793, 50380, 62006, 50811, 57684, 50980, 53491, 53524, 51170, 53301, 55932, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 57684, 53563, 51170, 57793, 50855, 57684, 50880, 53341, 50862, 56553, 50880, 51528, 53301, 50383, 53967, 50811, 51533, 53174, 55425, 50880, 53214, 50820, 54315, 53336, 51170, 53301, 50862, 54315, 55133, 50913, 50813, 54315, 57327, 51270, 63973, 57793, 60387, 50809, 53649, 50839, 54315, 52975, 51170, 53301, 50836, 54315, 50806, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 50840, 51640, 56505, 51270, 68511, 53301, 60387, 54460, 66250, 51236, 53301, 50813, 51526, 52935, 51170, 53301, 50855, 51602, 50950, 53341, 50862, 51640, 50950, 51528, 53301, 50383, 53967, 50811, 63312, 50880, 51374, 52379, 53214, 52761, 51170, 56460, 50862, 63312, 51173, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 70774, 50859, 53649, 50839, 58873, 52749, 51170, 53301, 50836, 56991, 50858, 53198, 50862, 58873, 54362, 50913, 50380, 62006, 50811, 63312, 50809, 53491, 53524, 51170, 53301, 50836, 63312, 50893, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 70774, 50921, 54599, 50813, 58873, 52643, 51170, 57793, 50855, 56991, 50858, 53341, 50862, 58873, 50940, 51528, 53301, 50383, 62006, 50811, 50693, 50322, 51941, 51533, 52379, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50809, 50693, 50324, 51346, 50453, 51236, 53301, 53211, 51170, 53301, 50855, 53341, 50862, 51528, 53301, 50383, 62006, 50811, 63312, 50890, 51374, 52379, 53214, 52761, 51170, 56460, 50862, 63312, 51060, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 70774, 71307, 50903, 57793, 50839, 58873, 52749, 51170, 57793, 50836, 56991, 50858, 53198, 50862, 58873, 54773, 50903, 57793, 50380, 62006, 50811, 63312, 50890, 53491, 53524, 51170, 53301, 50836, 63312, 51158, 50447, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 70774, 51033, 54599, 50813, 58873, 52643, 51170, 57793, 50855, 56991, 50821, 53341, 50862, 59624, 50858, 51528, 53301, 50383, 53967, 50811, 55724, 50983, 51533, 51870, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 54850, 50893, 53198, 53894, 50913, 50380, 62006, 50811, 59558, 51291, 53491, 50813, 51857, 55933, 51170, 57793, 50836, 51857, 51010, 53721, 50840, 51640, 68280, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 50813, 51533, 57701, 51170, 53301, 50855, 51602, 50950, 53341, 50862, 51526, 50962, 51528, 53301, 50383, 53967, 50811, 51374, 52208, 53214 ]
[ 0, 250, 15352, 30054, 3495, 2214, 4246, 13305, 6, 32017, 6, 3459, 8, 21979, 29589, 6, 8, 21072, 6, 2351, 10, 19448, 8, 1372, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 1769, 20889, 9, 19446, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 272, 406, 6, 230, 406, 6, 272, 119, 406, 6, 8, 230, 406, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 57746, 51552, 50872, 51189, 51207, 51552, 50970, 51189, 51240, 53403, 50939, 51103, 51064, 69027, 51007, 51894, 53527, 50795, 51067, 51894, 51270, 52417, 51332, 55905, 51047, 53918, 50942, 51725, 50901, 50998, 51047, 51383, 52766, 51332, 51312, 53918, 50917, 51725, 51312, 51270, 53162, 50939, 51336, 53527, 50925, 51064, 51336, 51170, 52772, 51332, 51097, 53918, 50805, 51725, 51097, 51170, 53268, 50872, 51183, 53527, 50937, 50970, 51183, 51383, 50818, 57746, 50983, 53918, 50805, 51207, 60055, 50939, 50918, 51064, 50918, 51170, 60156, 53918, 56800, 51170, 52844, 51332, 55905, 51675, 54263, 50889, 51725, 50901, 50998, 51675, 51383, 53040, 51332, 51199, 51725, 51199, 51270, 52616, 50939, 51077, 51064, 51077, 51170, 53003, 51332, 50995, 51725, 50995, 51170, 53268, 52817, 50987, 51383, 50884, 57746, 51091, 50872, 51477, 53527, 50805, 51207, 51091, 50970, 51477, 51170, 53336, 50939, 51077, 53918, 50925, 51064, 51077, 51240, 52928, 53918, 68606, 52953, 51332, 56291, 51267, 53918, 51177, 51725, 50873, 50998, 51267, 51383, 52621, 51332, 50932, 51725, 50932, 51270, 52616, 61560, 50939, 51183, 53918, 51110, 50998, 51003, 51064, 51183, 51240, 52772, 51332, 51380, 51725, 51380, 51240, 53137, 72080, 53527, 50889, 69916, 51383, 50818, 57746, 51141, 51207, 51141, 51270, 52761, 50872, 50795, 59205, 51240, 58592, 50939, 51101, 51064, 67175, 51240, 52953, 51332, 50873, 51725, 50873, 51383, 53219, 50868, 50967, 50939, 51177, 51332, 50981, 50998, 50967, 51064, 51177, 51725, 50981, 51270, 53044, 51383, 67394, 51383, 59361, 51383, 53533, 50868, 60935, 50978, 63386, 51064, 50978, 51587, 60457, 50841, 57746, 51362, 50872, 51295, 51207, 51362, 50970, 51295, 51270, 53223, 69594, 51064, 57908, 51007, 51244, 53527, 50879, 51067, 51244, 51383, 52209, 51332, 56291, 69910, 51413, 53918, 50862, 51725, 50873, 50998, 50908, 50998, 51413, 51170, 53018, 51332, 50932, 53918, 50917, 51725, 50932, 51170, 53041, 69430, 53918, 50897, 51064, 50914, 51240, 52802, 51332, 51199, 53527, 50897, 51725, 51199, 51240, 52920, 75641, 50872, 51121, 50939, 50932, 53918, 51110, 50986, 51709, 50970, 51121, 51064, 50932, 51270, 50820, 57746, 50873, 66493, 51236, 52432, 50885, 56743, 50938, 50939, 51254, 53918, 51116, 66192, 50970, 50938, 51064, 51254, 51170, 52917, 50988, 50806, 59077, 51170, 52767, 53918, 51346, 51236, 56748, 51332, 51283, 51725, 64025, 50885, 51283, 50868, 51413, 50939, 51314, 50986, 51283, 50998, 51413, 51064, 51314, 51236, 52878, 53527, 50910, 51383, 52743, 53918, 65303, 56012, 51332, 51709, 51725, 51709, 50456, 53918, 51056, 51270, 50820, 61464, 53680, 50318, 51605, 50988, 51336, 50970, 51166, 51067, 51605, 51207, 51336, 51240, 52981, 50939, 51047, 52817, 51058, 51064, 51047, 51170, 52641, 63588, 53527, 50942, 65899, 51383, 52767, 50868, 51077, 53918, 50901, 50998, 51077, 51270, 52766, 51332, 51242, 51725, 51242, 51270, 52616, 69594, 53918, 50805, 51064, 50943, 51170, 53166, 51332, 50995, 53527, 51159, 51725, 50995, 51170, 52738, 73367, 75333, 51064, 51212, 50970, 51101, 51240, 50828, 57746, 51003, 51207, 65516, 70084, 50939, 51109, 74584, 51064, 51109, 51240, 52992, 50988, 50807, 59498, 51170, 53031, 50868, 51218, 50998, 51218, 51383, 52621, 51332, 51253, 51725, 51253, 51383, 53239, 69430, 53918, 50873, 51064, 55441, 51332, 57371, 51242, 54263, 50937, 51725, 50905, 50998, 51242, 51236, 53173, 58034, 51175, 51383, 50884, 57732, 51310, 51007, 51417, 51725, 51310, 51067, 51417, 51240, 53403, 50939, 51141, 58034, 51336, 51064, 74978, 50979, 51295, 51136, 51295, 51270, 52417, 51164, 51896, 51504, 51896, 51383, 52766, 50909, 50879, 51032, 50879, 51270, 53162, 50850, 51377, 50872, 51365, 54263, 50805, 50947, 51377, 50970, 51365, 51170, 52772, 50872, 51233, 50970, 51233, 51170, 53268, 50847, 51183, 53918, 51103, 50929, 51183, 51383, 57430, 50979, 53161, 51136, 53161, 57732, 51253, 51725, 51253, 50420, 50979, 51351, 51136, 51351, 51170, 52917, 51037, 50974, 51246, 50974, 51170, 52844, 51164, 51173, 51504, 51173, 51383, 53040, 77649, 50850, 52519, 50970, 51111, 50947, 52519, 51270, 52616, 50988, 51167, 51207, 51167, 51170, 53003, 59458, 70850, 51170, 53268, 51332, 51145, 51725, 51145, 51383, 50884, 76220, 51218, 54263, 50795, 51067, 51218, 51170, 53336, 50939, 50915, 58034, 50879, 51064, 50915, 51240, 52928, 50979, 51318, 54263, 50849, 51136, 51318, 51240, 52953, 69546, 50847, 52048, 58034, 51016, 51032, 50914, 50929, 52048, 51383, 52621, 51164, 51016, 51504, 51016, 51270, 52616, 50872, 55792, 51242, 54263, 51158, 68859, 50947, 51242, 51240, 52772, 51240, 53137, 51332, 67145, 51006, 78774, 53918, 50889, 51725, 50838, 51246, 51006, 51136, 50977, 51383, 50818, 50799, 51270, 52761, 51164, 61856, 62344, 50805, 57230, 51504, 50802, 69468, 51136, 50805, 67765, 51240, 52928, 51240, 52953, 51171, 58310, 54667, 50879, 51444, 50849, 59655, 50929, 50879, 51383, 53219, 51270, 53044, 51688, 51115, 50885, 51312, 50944, 50889, 52012, 51115, 50986, 51312, 51078, 50889, 51240, 52772, 52817, 62468, 52920, 54263, 51091, 51170, 50828, 57746, 51204, 50872, 51283, 51207, 51204, 50970, 51283, 51270, 52870, 50939, 51481, 55979, 51178, 51064, 51481, 51383, 52209, 51332, 52015, 50868, 52188, 51725, 52015, 50998, 52188, 51170, 53018, 53918, 51157, 51170, 53041, 50868, 51194, 50998, 51194, 51240, 56918, 53036, 58460, 51240, 52920, 50872, 50918, 53527, 50943, 50970, 50918, 51270, 50820, 57746, 51095, 51207, 51095, 51236, 52432, 50939, 51148, 53918, 50862, 51064, 51148, 51170, 52917, 50988, 51109, 53918, 50937, 51207, 51109, 51170, 52767, 50868, 51148, 53036, 50810, 50998, 51148, 51236, 52600, 51332, 51312, 53918, 50938, 51725, 51312, 51236, 52878, 50939, 52460, 54263, 50910, 51064, 52460, 51383, 52743, 51332, 50995, 52817, 50901, 51725, 50995, 51383, 52738, 53036, 64206, 50820, 57746, 51346, 50872, 51637, 53918, 51157, 51207, 51346, 50970, 51637, 51240, 52981, 50939, 51077, 51064, 51077, 51170, 52641, 51007, 51077, 53036, 50862, 51067, 51077, 51383, 52767, 50988, 51173, 76775, 53918, 51159, 51207, 51173, 50998, 51115, 51270, 52766, 51332, 50932, 51725, 50932, 51270, 52616, 70944, 53036, 50808, 51064, 51100, 51170, 53166, 51332, 51380, 51725, 51380, 51170, 52738, 51007, 58736, 51277, 50939, 53024, 53036, 50915, 51067, 50838, 50970, 51277, 51064, 53024, 51240, 50828, 57746, 50795, 51207, 52115, 50872, 62540, 50991, 51007, 50838, 52817, 51391, 50970, 50893, 51064, 50991, 51067, 50838, 51240, 52992, 50988, 50879, 51207, 50879, 51170, 53031, 51332, 51397, 51725, 51397, 51383, 52621, 50868, 51413, 50939, 51446, 51007, 51397, 50998, 51413, 51064, 51446, 51067, 51397, 51383, 53239, 51273, 52596, 51140, 77651, 50381, 53746, 53650, 51705, 50873, 51383, 50884, 72412, 51417, 51098, 50983, 50988, 51189, 50872, 51189, 51334, 51242, 54193, 51177, 51207, 51189, 50970, 51189, 53779, 62827, 55399, 53403, 50939, 51103, 51590, 50863, 51064, 51103, 50421, 55420, 50870, 51408, 58115, 51229, 54604, 51547, 52966, 51303, 51400, 51414, 51109, 51457, 51109, 51007, 51894, 53527, 50805, 51067, 51894, 53231, 57527, 56657, 53918, 57066, 51461, 50844, 51332, 55905, 51047, 51725, 50901, 50998, 51047, 53231, 58016, 57423, 52742, 51476, 51233, 51461, 51189, 51332, 51312, 53918, 50805, 51725, 51312, 51587, 57113, 76667, 52875 ]
[ 0, 250, 15352, 30054, 8, 12298, 1619, 3495, 2125, 6, 42, 8787, 15229, 11, 230, 10431, 538, 16, 17407, 30, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 6755, 12547, 8, 13305, 185, 5, 483, 6, 7513, 30, 326, 5638, 18026, 6, 21979, 8669, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 32076, 8, 8728, 5466, 4, 20, 33215, 16739, 9, 381, 6, 2060, 119, 6, 8, 83, 3639, 7, 5, 2214, 18, 17627, 17274, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 50456, 53001, 50827, 57570, 50808, 52083, 57661, 52948, 51484, 58302, 50854, 52251, 61629, 52571, 51283, 52187, 51801, 50461, 51687, 51283, 52340, 52337, 53129, 52096, 78937, 51477, 51414, 51318, 51957, 51496, 78785, 50979, 51047, 50944, 51203, 58047, 57075, 53790, 50846, 51827, 59980, 50935, 51412, 50420, 52932, 51108, 52828, 50904, 51546, 50851, 51208, 51079, 57570, 50878, 51842, 52083, 68018, 52828, 50827, 51546, 50972, 50424, 60331, 50944, 51419, 50426, 51042, 51806, 52828, 50874, 51208, 51753, 57570, 51183, 51287, 51502, 50846, 52083, 51077, 73402, 55730, 50935, 51203, 51546, 50933, 52828, 56626, 51687, 50978, 52571, 50838, 51719, 50905, 51414, 50838, 52948, 50932, 51957, 51021, 66290, 51687, 53487, 51719, 54143, 52571, 53233, 51414, 54249, 51957, 51551, 51042, 51330, 68279, 50944, 56981, 65964, 50827, 51546, 50827, 52828, 50827, 65634, 54735, 50935, 57062, 51363, 51208, 50928, 51546, 54485, 52932, 52256, 51842, 50446, 53001, 51318, 50447, 52948, 51242, 75720, 51546, 50904, 80162, 52828, 70936, 52109, 54249, 50450, 51042, 51199, 50979, 51255, 50944, 79370, 60629, 51187, 56782, 50935, 57482, 50845, 51546, 50984, 52828, 77638, 51737, 50456, 52948, 51003, 51546, 50874, 52828, 50822, 57570, 50859, 51842, 52083, 53848, 50935, 58430, 50844, 69643, 58302, 50878, 52251, 59322, 51208, 50907, 51546, 50822, 52828, 50822, 57157, 51274, 51042, 51314, 70645, 50944, 51241, 50935, 51267, 58047, 50955, 64547, 50818, 51827, 52871, 53001, 50981, 51546, 50827, 52828, 50851, 51208, 50972, 57570, 51377, 51842, 52083, 51158, 50423, 51546, 50912, 52828, 53220, 50979, 51008, 60331, 51546, 50827, 52828, 77638, 51481, 52352, 51502, 54660, 50935, 51221, 50944, 51255, 51546, 50933, 52828, 68858, 50979, 74257, 52948, 50995, 51957, 51030, 57570, 51255, 64547, 50818, 52083, 51073, 50435, 51208, 50928, 51546, 50928, 58105, 51496, 51042, 51709, 50979, 51312, 66523, 50935, 50810, 52828, 51051, 51208, 51174, 51546, 51174, 52166, 56755, 50935, 51255, 50442, 50944, 74971, 53001, 51312, 51208, 50928, 51546, 50928, 58302, 51400, 51468, 52251, 51110, 50447, 52828, 50874, 51208, 51142, 51546, 55514, 51042, 52188, 50979, 51412, 50944, 51203, 61253, 51287, 51502, 53545, 50935, 50845, 51546, 51123, 52828, 55346, 52109, 51318, 54457, 50882, 52828, 50874, 51546, 78108, 51277, 53916, 51337, 58805, 50820, 52671, 51177, 50459, 51727, 66115, 50878, 59358, 69643, 51042, 50971, 52828, 51051, 50461, 52571, 51627, 51687, 51535, 53129, 52096, 52187, 51801, 78937, 51749, 51414, 51627, 51957, 51552, 78785, 50979, 51255, 50944, 51221, 50935, 51043, 52340, 52337, 58805, 53829, 52948, 50955, 52828, 75397, 50972, 51546, 50972, 57570, 50890, 51960, 52083, 55081, 53001, 51534, 50935, 58430, 60296, 50867, 52828, 50912, 58302, 51142, 52251, 61823, 51042, 64396, 75419, 50944, 56981, 50844, 51546, 50822, 52828, 77638, 50972, 58047, 59661, 51502, 50828, 51827, 56338, 50935, 51203, 50944, 51203, 50979, 51337, 51546, 50933, 52828, 56626, 52932, 50972, 51957, 50936, 57570, 50942, 51468, 52083, 52262, 51208, 50928, 51546, 60622, 51414, 61417, 52948, 51753, 51687, 51253, 51719, 51253, 52571, 50932, 51957, 51090, 51042, 51108, 50979, 50915, 66523, 50935, 65964, 50851, 51546, 50851, 52828, 51051, 57570, 51103, 58805, 50818, 52083, 50983, 50441, 50935, 51203, 50944, 76097, 52932, 51310, 51208, 51832, 51546, 51269, 52828, 51269, 51842, 50446, 53001, 51542, 50447, 52948, 51312, 51208, 50907, 51546, 50874, 52828, 64913, 52109, 77069, 51687, 51803, 51719, 51939, 52571, 52140, 51414, 52140, 51602, 51033, 51042, 51330, 50979, 50959, 50944, 56981, 59904, 51437, 55423, 50935, 57482, 61365, 50892, 51546, 51022, 52828, 56838, 51546, 50827, 52828, 75397, 50838, 54052, 55053, 51602, 62354, 67380, 60296, 50857, 51546, 50851, 52828, 50851, 57157, 50936, 78785, 50979, 50915, 50944, 51255, 50935, 51043, 52455, 52944, 52932, 50878, 51957, 51274, 52828, 75397, 50838, 51546, 50838, 57570, 50836, 67955, 50895, 52083, 55081, 52948, 52431, 62974, 50944, 50838, 52828, 50912, 58302, 50857, 52251, 59066, 51042, 60184, 75419, 61253, 52828, 50874, 51546, 50892, 51208, 51328, 58047, 50878, 51927, 51502, 50839, 51827, 55658, 76168, 50944, 51255, 50979, 51043, 52828, 60675, 57570, 51221, 51960, 52083, 67174, 52571, 51576, 51687, 51480, 51719, 51480, 51957, 51496, 51042, 51330, 75419, 50944, 65964, 50827, 51546, 50827, 52828, 50827, 58805, 53905, 50935, 51221, 50944, 51194, 51208, 50928, 51546, 71096, 50979, 74971, 57570, 51178, 51842, 52083, 59414, 51208, 50864, 51546, 50827, 52828, 52989, 51719, 51775, 51687, 51253, 52571, 51097, 78785, 74805, 66523, 50935, 51373, 67310, 55079, 50935, 57999, 60429, 51233, 51208, 51832, 51546, 51269, 52828, 56773, 51957, 50882, 52828, 50874, 51208, 51058, 51546, 51058, 58302, 50854, 60524, 50846, 52251, 56132, 51181, 62354, 51051, 70257, 52828, 60863, 52036, 53487, 50799, 52932, 51742, 52102, 51445, 51303, 51313, 51414, 51313, 52109, 51445, 51533, 51551, 50872, 51852, 51017, 52056, 51863, 56515, 52414, 54143, 58047, 50854, 60524, 50818, 51827, 67972, 77570, 51125, 51043, 50417, 61249, 50810, 52156, 53932, 53463, 50827, 51385, 50838, 51530, 50838, 58047, 53651, 51842, 51827, 52919, 50423, 69509, 64786, 60774, 53463, 53881, 51017, 51108, 72080, 65500, 51125, 50833, 51530, 50874, 53463, 50874, 51385, 50974, 59491, 50863, 52604, 77840, 51125, 51203, 50992, 51363, 51530, 50827, 53463, 50827, 52480, 50878, 51361, 50891, 52604, 51714, 50437, 52171, 50854, 55545, 51496, 51017, 51108, 68100, 62993, 51125, 50810, 51385, 50874, 51530, 50874, 53463, 51008, 65634, 59797, 53598, 58709, 51125, 51255, 50992, 51043, 51385, 50928, 51530, 68211, 52171, 51742, 50444, 51414, 51097, 78718, 51385, 50912, 51530, 50874, 53463, 64827, 54051, 55620, 51980, 51145, 51017, 51380, 62039, 65500, 67453, 52029, 51502, 59671, 53809, 57622, 69320, 50992, 50845, 51530, 50851, 53463, 50874, 51385, 51470, 50454, 50872, 51337, 50455, 54051, 51397, 50456, 53001, 51627, 51727, 50806, 51530, 50874, 53463, 54874, 51239, 54603, 51125, 59395, 50822, 50799, 52109, 51199, 52102, 50932, 51303, 51097, 51414, 51097, 51533, 77742, 51097, 50872, 51351, 50992, 51241, 51125, 51003, 51385, 51749, 51530, 51749, 53463, 51749, 58135, 63180, 51065, 54213, 51065, 63416, 51065, 54951, 51065, 62184, 51065, 59509, 51065, 52966, 51065, 75717, 51065, 50908, 50428, 51065, 58832, 51065, 64161, 52340, 51145, 51065, 53962, 51957, 51551, 51042, 52015, 50979, 51452, 52332, 51244, 52187, 51148, 51065, 62713, 52109, 51703, 52948, 51703, 52571, 52015, 51687, 52015, 51719, 51742, 50944, 51127, 50935, 51183, 51065, 63633, 51065, 68210, 51065, 59445, 51065, 52958, 51065, 62889, 51065, 50928, 50440, 51065, 71096, 51065, 65112, 51065, 54189, 51065, 71102, 51065, 67394, 51065, 60571, 51065, 63078, 51065, 62849, 51065, 52846, 51065, 69232, 51065, 69909, 51065, 58207, 51065, 60202, 51065, 60570, 51065, 53007, 51065, 58901, 51065, 54600, 51065, 61824, 51065, 57995, 52473, 51939, 51065, 50825, 51094, 50274, 51552, 51037, 52397, 51017, 52347, 50310, 50972, 74987, 61662, 79400, 51557, 51592, 52356, 59622, 51539, 53735, 57829, 55349, 51313, 50939, 51074, 51495, 75856, 51719, 52151, 74987, 69604, 51064, 50873, 51983, 50421, 51017, 52347, 50310, 63666, 71203, 50939, 54325 ]
[ 0, 250, 5679, 26709, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 1893, 43639, 6, 5921, 3343, 1290, 642, 5255, 6, 30062, 620, 7085, 12280, 642, 6, 8, 6168, 3540, 6, 2351, 10, 19448, 5466, 20455, 9, 10, 822, 1471, 50, 1619, 930, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 3136, 23, 41, 178, 5285, 20889, 6, 19, 10, 33215, 16739, 9, 230, 10431, 6, 274, 119, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 53148, 51801, 51794, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 55111, 50845, 55111, 68468, 61306, 59478, 59478, 65521, 65521, 56350, 60850, 50845, 60850, 53562, 57436, 50845, 57436, 68468, 59316, 57292, 57292, 58902, 58902, 53581, 55111, 50845, 55111, 71007, 77955, 50838, 50799, 57794, 51047, 57794, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54869, 50989, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 56841, 51047, 56841, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54980, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 50838, 57190, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 53148, 51801, 51794, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 55111, 50845, 55111, 68468, 61306, 59478, 59478, 65521, 65521, 56350, 60850, 50845, 60850, 53562, 57436, 50845, 57436, 68468, 59316, 57292, 57292, 58902, 58902, 53581, 55111, 50845, 55111, 71007, 77955, 50838, 50799, 57794, 51047, 57794, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54869, 50989, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 59442, 51047, 59442, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54980, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 70529, 54895, 56551, 54428, 58449, 56976, 50864, 50799, 64156, 50827, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 51794, 51243, 53148, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 53089, 50795, 53089, 51918, 54294, 50795, 54294, 51798, 50965, 59316, 57292, 57292, 58902, 58902, 50838, 52838, 50795, 52838, 51923, 51040, 77955, 50838, 53089, 50795, 53089, 50795, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52405, 50918, 52405, 50918, 52065, 51243, 71241, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 51905, 50918, 51905, 56811, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 70529, 54895, 56551, 54428, 58449, 56976, 50864, 50799, 64156, 50827, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 51794, 51243, 53148, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 53089, 50795, 53089, 51918, 54294, 50795, 54294, 51798, 50965, 59316, 57292, 57292, 58902, 58902, 50838, 52838, 50795, 52838, 51923, 51040, 77955, 50838, 53089, 50795, 53089, 50795, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52405, 50918, 52405, 50918, 52065, 51243, 71241, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 56939, 52045, 70244, 52045, 50450, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 50838, 57211, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52315, 64452, 61306, 59478, 59478, 65521, 65521, 50932, 54142, 52313, 52671, 50802, 55862, 52175, 51606, 64452, 59316, 57292, 57292, 58902, 58902, 50838, 53775, 52325, 52083, 50976, 51040, 77955, 50838, 57106, 50976, 50799, 52202, 51407, 54577, 51407, 69766, 66982, 69711, 70713, 70713, 65521, 65521, 57410, 50722, 50298, 52062, 71241, 69711, 70713, 70713, 65521, 65521, 54498, 53042, 50838, 53042, 66982, 69711, 70713, 70713, 65521, 65521, 56350, 52307, 50838, 52307, 52985, 52307, 50838, 52307, 57712, 58194, 70713, 70713, 65521, 65521, 56109, 53839, 50838, 53839, 50838, 50799, 53314, 51080, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 56817, 51080, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 65668, 52315, 50802, 54142, 52125, 50989, 69711, 59478, 59478, 65521, 65521, 56350, 52671, 50802, 55862, 52175, 51606, 69073, 66982, 57292, 57292, 58902, 58902, 50838, 53775, 52325, 52083, 75465, 77955, 50838, 57106, 50802, 50799, 52251, 51009, 53314, 51009, 69766, 66982, 69711, 70713, 70713, 65521, 65521, 50932, 52458, 51353, 52458, 74905, 50722, 50298, 52062, 71241, 69711, 70713, 70713, 65521, 65521, 54498, 53042, 50932, 53042, 69711, 69711, 70713, 70713, 65521, 65521, 54980, 52307, 50932, 52307, 58194, 58194, 70713, 70713, 65521, 65521, 50932, 50799, 54568, 51080, 54568, 51080, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52083, 50976, 50989, 69711, 59478, 59478, 65521, 65521, 50932, 57106, 74961, 52251, 50975, 56817, 58981, 50989, 66982, 57292, 57292, 58902, 58902, 50838, 51600, 50807, 50454, 51827, 50823, 54876, 54178, 51040, 77955, 67590, 52156, 50860, 56660, 50860, 50799, 52604, 51009, 53916, 52045, 50871, 58194, 59478, 59478, 65521, 65521, 50932, 51526, 51353, 51526, 51353, 51201, 51036, 58358, 51009, 60564, 57292, 58902, 58902, 53052, 50871, 51680, 50871, 51680, 50437, 52604, 50976, 58358, 61147, 50906, 59478, 65521, 65521, 56350, 52156, 50976, 56660, 58317, 50906, 59478, 65521, 65521, 50932, 50452, 51827, 50860, 54876, 55273, 52251, 50802, 56817, 50802, 50799, 52083, 51009, 50989, 69711, 65521, 65521, 66985, 66985, 50932, 51910, 51353, 51910, 51353, 51395, 51036, 57106, 60625, 51028, 58902, 60778, 60778, 53052, 50989, 51680, 50989, 51680, 50437, 52156, 50976, 56660, 61147, 53339, 52045, 50973, 70713, 66985, 66985, 50932, 50445, 51827, 50975, 54876, 58981, 50973, 70713, 66985, 66985, 50932, 50452, 52251, 50823, 56817, 54178, 52083, 50860, 57106, 66426, 52671, 51407, 51488, 51407, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52458, 51353, 52458, 51353, 51426, 55834, 50989, 69711, 70713, 70713, 65521, 65521, 54498, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 65518, 51165, 51918, 71006, 51357, 51798, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 73199, 51375, 51923, 51491, 65728, 50795, 50799, 52541, 50918, 52032, 72025, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 51794, 51161, 61155, 57944, 50965, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52315, 50802, 53780, 51036, 50989, 69711, 59478, 59478, 65521, 65521, 50932, 54142, 52313, 52671, 50802, 55862, 52175, 51606, 69073, 69711, 59478, 59478, 65521, 65521, 50932, 53775, 52325, 52083, 50976, 72888, 57106, 50976, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52458, 51353, 52458, 51353, 51629, 79819, 51243, 50415, 52202, 51009, 55837, 57214, 51558, 51631, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 51558, 51736, 51811, 51646, 57794, 50838, 52541, 51036, 50965, 61306, 70713, 70713, 65521, 65521, 50932, 52405, 51918, 54157, 50838, 51690, 51798, 54157, 59316, 61306, 70713, 70713, 65521, 65521, 50932, 51690, 51923, 54542, 50838, 51811, 50795, 50799, 56841, 51080, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 51905, 50918, 51794, 51243, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52315, 50976, 53780, 74882, 69711, 59478, 59478, 65521, 65521, 50932, 77398, 54142, 60815, 51629, 59513, 52671, 50975 ]
[ 0, 250, 15352, 30054, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 5, 2216, 4069, 9, 21072, 6, 5730, 2342, 4467, 6, 8, 31026, 16793, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 19448, 38451, 3938, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51755, 56545, 62394, 54877, 53473, 56129, 50857, 53440, 58810, 50891, 52399, 64698, 63521, 52705, 51053, 55021, 55681, 60033, 79695, 53548, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 53800, 75895, 71339, 56761, 50843, 64698, 59716, 50843, 57323, 53980, 51065, 60495, 55259, 57888, 55021, 56129, 61960, 67685, 57108, 51170, 55263, 53944, 55681, 50864, 54032, 58043, 57291, 52705, 50985, 50388, 51433, 59376, 53759, 55681, 53996, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 53800, 50813, 54710, 68376, 51126, 58201, 58043, 50904, 55975, 56129, 50857, 79821, 54877, 54376, 54452, 56332, 53800, 56598, 50368, 52268, 51126, 53440, 64698, 51000, 52399, 55681, 55470, 52705, 51053, 55021, 60349, 74767, 79695, 53548, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 57158, 50840, 53764, 78736, 58255, 50843, 55147, 53439, 50843, 60349, 55108, 51065, 60495, 55259, 57888, 55021, 53800, 61391, 67685, 50840, 54268, 58557, 60140, 55263, 53162, 50843, 58810, 55721, 52705, 50985, 54501, 58810, 61851, 59376, 53409, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 57323, 50886, 54710, 64698, 51000, 58201, 57526, 55053, 50843, 55681, 50864, 51755, 56545, 58986, 60495, 58388, 54877, 53473, 54845, 50855, 53440, 68376, 51126, 52399, 57526, 50371, 53290, 50373, 53290, 53109, 52705, 50985, 54501, 57526, 59126, 58514, 53855, 51065, 60495, 55259, 57888, 65383, 50384, 53221, 56690, 53800, 61391, 66204, 59974, 52834, 50365, 53290, 62652, 58043, 54854, 50843, 55681, 55643, 50843, 62652, 50365, 53290, 78090, 50835, 51658, 58484, 69629, 60495, 58388, 54877, 53473, 57323, 50886, 54268, 60349, 75003, 61568, 50867, 54032, 58272, 56377, 52705, 50985, 54501, 58272, 72956, 59376, 50383, 53290, 50370, 53290, 53003, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 56129, 50857, 54710, 68376, 51126, 58201, 58810, 50369, 53290, 78090, 54603, 50843, 57526, 50371, 53290, 50369, 53290, 50891, 66790, 60495, 55259, 54452, 56332, 56129, 61960, 67685, 50840, 53440, 58810, 50891, 52399, 58272, 50367, 53290, 50373, 53290, 53109, 52705, 50985, 54501, 56454, 58533, 58514, 53855, 52705, 50985, 65572, 50384, 53221, 56690, 55681, 71016, 50368, 52268, 74351, 66204, 59974, 52834, 50365, 53290, 62652, 60349, 55487, 50843, 61551, 57039, 50843, 58810, 50369, 53290, 78090, 50835, 51658, 58484, 69629, 60495, 58388, 54877, 53473, 55681, 50864, 54268, 58043, 60380, 61568, 50867, 54032, 58810, 55721, 52834, 50370, 53290, 55170, 57888, 55021, 60349, 74767, 79350, 55268, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 57323, 50886, 54710, 55681, 54232, 50843, 61551, 66623, 50374, 53830, 57187, 52834, 50369, 53290, 58810, 60349, 50971, 50799, 56586, 51095, 56302, 51095, 77030, 51110, 73910, 56357, 51101, 51935, 50985, 58986, 60495, 58388, 54877, 53473, 53800, 50813, 53440, 64698, 51000, 52399, 60349, 50370, 53830, 66786, 55470, 77030, 50855, 56586, 50857, 56302, 50809, 51181, 50811, 56357, 54169, 58484, 54501, 57526, 59126, 58514, 53855, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 61551, 61660, 77030, 50855, 56586, 50887, 56302, 50836, 51181, 50803, 56357, 53833, 56454, 50370, 53290, 50365, 53290, 54075, 50843, 64698, 59716, 77030, 50841, 56586, 50846, 56302, 50839, 51181, 50817, 56357, 53833, 57526, 50371, 53290, 78090, 52621, 77030, 50813, 56586, 52101, 56302, 50800, 51181, 50803, 56357, 53309, 58484, 69629, 60495, 58388, 54877, 53473, 55681, 50864, 54268, 58043, 60380, 61568, 54434, 58477, 50836, 69145, 50887, 56852, 50862, 51957, 50803, 61879, 53800, 56454, 54914, 52705, 50985, 50388, 51433, 59376, 50383, 53290, 50370, 53290, 56454, 57323, 54105, 58477, 52382, 56302, 52382, 54837, 53363, 51640, 52442, 56433, 52919, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 56129, 50857, 54710, 68376, 60325, 50757, 50322, 50813, 50757, 50327, 50830, 52834, 78090, 54640, 60349, 61545, 79051, 50813, 79592, 52757, 50599, 50369, 53290, 58810, 64698, 51000, 50799, 50757, 50317, 50833, 50757, 50322, 50942, 51935, 50985, 58986, 60495, 58388, 54877, 53473, 55681, 59834, 79051, 50833, 79592, 56613, 60349, 55650, 50757, 50322, 50855, 50757, 50327, 50910, 52834, 50373, 53290, 55147, 58043, 57559, 79051, 50904, 79592, 53530, 57888, 55021, 61551, 75613, 79695, 53548, 50757, 50322, 50855, 50757, 50317, 53530, 58484, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 56129, 57050, 79051, 50855, 79592, 52757, 50599, 50365, 53290, 62652, 64698, 56693, 50757, 50322, 50857, 50757, 50327, 61676, 57526, 54483, 79051, 50844, 79592, 53376, 50599, 78090, 54640, 64698, 55666, 50757, 50317, 50813, 50757, 50322, 53530, 58484, 69629, 60495, 59773, 55681, 68441, 67685, 57108, 80015, 50812, 79051, 61960, 55263, 53944, 66203, 62232, 50757, 50317, 50827, 50757, 50322, 59301, 61551, 57298, 80015, 50854, 79051, 54312, 58484, 50388, 51433, 59376, 50383, 53290, 50370, 53290, 56454, 64698, 55634, 50757, 50317, 50866, 50757, 50322, 53704, 58484, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 55681, 57186, 50757, 50322, 50858, 50757, 50327, 56593, 61551, 55293, 79051, 50865, 79592, 75870, 78090, 54640, 58043, 59934, 52834, 50369, 53290, 58810, 66203, 51128, 50799, 77030, 51110, 56586, 51095, 56302, 51095, 73910, 56357, 51101, 51935, 50985, 58986, 60495, 58388, 54877, 53473, 55681, 50864, 53440, 57323, 50886, 52399, 61551, 66623, 66786, 55470, 56302, 50809, 77030, 50855, 56586, 50857, 51181, 50811, 56357, 54169, 58484, 54501, 61551, 75613, 79695, 53548, 51289, 61769, 56851, 60495, 58388, 56152, 54405, 57888, 55021, 56129, 57050, 77030, 50855, 56586, 50887, 56302, 50836, 51181, 50803, 56357, 77624, 50365, 53290, 62652, 61551, 55286, 50843, 78736, 70709, 56586, 50846, 77030, 50841, 56302, 50839, 51181, 50817, 56357, 77624, 78090, 54640, 64698, 55666, 77030, 50813, 56586, 52101, 56302, 50800, 51181, 50803, 56357, 53309, 58484, 69629, 60495, 58388, 54877, 53473, 55716, 59138, 51170, 55263, 53944, 60349, 56069, 69145, 50887, 58477, 50836, 56852, 50862, 51957, 50811, 61879, 53800, 55630, 54284, 52705, 50985, 50388, 51433, 59376, 53759, 60349, 50370, 53830, 50370, 53830, 55256, 58477, 52382, 56302, 52382, 54837, 53363, 51640, 52442, 56433, 52919, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 53800, 50813, 54710, 61551, 55293, 50757, 50322, 50813, 50757, 50327, 50865, 52834, 78090, 54640, 61551, 58182, 79051, 50813, 79592, 54796, 66203, 50367, 53830, 50369, 53830, 51000, 50799, 50757, 50317, 50833, 50757, 50322, 54312, 56545, 58986, 60495, 58388, 54877, 53473, 55681, 59834, 79051, 50833, 79592, 56613, 55681, 54202, 50757, 50327, 50910, 50757, 50322, 54845, 55630, 50372, 53290, 50373, 53290, 53109, 79051, 50904, 79592, 53530, 58484, 50388, 51433, 58514, 53473, 73339, 59197, 50757, 50317, 50833, 50757, 50322, 53933, 58484, 65572, 61769, 56851, 60495, 59773, 55681, 68441, 66204, 59974, 79051, 50855, 79592, 52757, 50599, 50365, 53290, 62652, 66203, 57378, 50757, 50322, 50857, 50757, 50327, 60174, 60349, 59068, 79051, 50844, 79592, 53376, 50599, 78090, 54640, 66203, 60438, 50757, 50322, 50833, 50757, 50317, 53309, 58484, 54501, 55147, 57086, 60495, 58388, 54877, 55201, 79051, 50857, 80015, 55300, 55263, 53944, 66203 ]
[ 0, 250, 15855, 8, 5175, 1619, 2214, 14, 7630, 6568, 6453, 9, 11098, 8, 26545, 4, 20, 2125, 1575, 10, 6755, 12547, 6, 21979, 8669, 6, 18558, 6, 25044, 139, 10170, 1499, 6, 8, 2342, 4467, 6, 70, 8216, 7, 63, 11653, 8, 25306, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 15229, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 32625, 13569, 9862, 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 ]	[ 51540, 50626, 63578, 53424, 51933, 53539, 51538, 50453, 53424, 51066, 53539, 51932, 50463, 55883, 50896, 53915, 51500, 50475, 53539, 51345, 50476, 53424, 51160, 50485, 53062, 50918, 54343, 51103, 51474, 50437, 53424, 51623, 53539, 51623, 50473, 52860, 51427, 53424, 51566, 50485, 52860, 52512, 54343, 51356, 51474, 50437, 53210, 51573, 53539, 51343, 50461, 53062, 51446, 58013, 51183, 50462, 57843, 51183, 51540, 53424, 53380, 55954, 53380, 50479, 50856, 50907, 51540, 51994, 51054, 51150, 51795, 51725, 50981, 51207, 51241, 51032, 51091, 50986, 51091, 50998, 51294, 50415, 51848, 65280, 50369, 52094, 60155, 51994, 52369, 50431, 50856, 56006, 51725, 51109, 51207, 51159, 51032, 51157, 50986, 51159, 50998, 51157, 50439, 52013, 53701, 50584, 50370, 52094, 65415, 51207, 50959, 62459, 57573, 51725, 50822, 75423, 50462, 51098, 51029, 51725, 51178, 51207, 51110, 65930, 50998, 51095, 51032, 51111, 50463, 53438, 60746, 56162, 57656, 67225, 50864, 50477, 51994, 51460, 50478, 51725, 51309, 51207, 50959, 50998, 50955, 65499, 51032, 50955, 50479, 51848, 50371, 53323, 51126, 51540, 51873, 51527, 51150, 52369, 51725, 51351, 51504, 51191, 51131, 51191, 50970, 51191, 51032, 51191, 50947, 51189, 50415, 51848, 59260, 72838, 52788, 51994, 52369, 51725, 51056, 51207, 51157, 50986, 51056, 62299, 51032, 51073, 50439, 52013, 54858, 50584, 50370, 52094, 65126, 51207, 50978, 50986, 51058, 50998, 50959, 51725, 50955, 64145, 50462, 51098, 51029, 51207, 51111, 51725, 51111, 50986, 51111, 50998, 51060, 51032, 51173, 50463, 50816, 56700, 55785, 58948, 50904, 50478, 52619, 51354, 51725, 51534, 51207, 50959, 74036, 68864, 77850, 50479, 51848, 50827, 51540, 51150, 52827, 51725, 51381, 51504, 50914, 51131, 51191, 50970, 51204, 51032, 51191, 50947, 51189, 50415, 51873, 51527, 51848, 54858, 50584, 50370, 52094, 52788, 51994, 52311, 51725, 51267, 51207, 51221, 50986, 51221, 50998, 51116, 51032, 51116, 50439, 52013, 55921, 73340, 62564, 51207, 50955, 50986, 50959, 51725, 51058, 50998, 50959, 51032, 74022, 51848, 50912, 50462, 51098, 51300, 51725, 51346, 51207, 51095, 50986, 51116, 50998, 51116, 51032, 51238, 50463, 51321, 69372, 53657, 58948, 50857, 50477, 52619, 51460, 50478, 51207, 51115, 51032, 50977, 51725, 50959, 73248, 74245, 50479, 51321, 51022, 51540, 52498, 56073, 51389, 51352, 51311, 51346, 50929, 51116, 51076, 51124, 50960, 51116, 50415, 51848, 50380, 53323, 73340, 53614, 51207, 51162, 51076, 51095, 51444, 51124, 50960, 50991, 50929, 51112, 50439, 52013, 55892, 73340, 78454, 51444, 50959, 51207, 50959, 59028, 50960, 51008, 51076, 50933, 50455, 51848, 50912, 50462, 51098, 51300, 51444, 51121, 51207, 51178, 50960, 51121, 50929, 51110, 51076, 51100, 50463, 50816, 50374, 52094, 53701, 50584, 55785, 50822, 50478, 51444, 50987, 51207, 50978, 75646, 78348, 69092, 50479, 50856, 50907, 51540, 51873, 51054, 51389, 51352, 51444, 51003, 51207, 51241, 51076, 50889, 50960, 51346, 50929, 51204, 50415, 51848, 65280, 50369, 52268, 60155, 51873, 52369, 50431, 50856, 56006, 51207, 51109, 51076, 51159, 51444, 51025, 50960, 51346, 50929, 51346, 50439, 52013, 53701, 50584, 73340, 62564, 50960, 50959, 67325, 51076, 51008, 51444, 50959, 51207, 50959, 50462, 51098, 51029, 51444, 51221, 51207, 51124, 50960, 51095, 50929, 51116, 51076, 50967, 50463, 50816, 54336, 56706, 67225, 50864, 50464, 53094, 51573, 50478, 62326, 65712, 51076, 50878, 51444, 50844, 51207, 50959, 50479, 51873, 51388, 51848, 54858, 50584, 51123, 51540, 51389, 51407, 51444, 51194, 51207, 51377, 50960, 51178, 50929, 51159, 51076, 51124, 50415, 51848, 56241, 50371, 52094, 56115, 52330, 52097, 50438, 51207, 51162, 50929, 51116, 51076, 51346, 51444, 51203, 50960, 51116, 50439, 51873, 52311, 52013, 50371, 53323, 73340, 66663, 70748, 71720, 51444, 50959, 51207, 51008, 64162, 50462, 51098, 51029, 51207, 51121, 51444, 51177, 50960, 51095, 50929, 51111, 51076, 51060, 50463, 50816, 56700, 72237, 55171, 50822, 50477, 51873, 51460, 50478, 51207, 50955, 51076, 50833, 51444, 50959, 69462, 50929, 50813, 50479, 51848, 50827, 51540, 51531, 52097, 51389, 51407, 76901, 74175, 50970, 51013, 51032, 51073, 51444, 67697, 51848, 54858, 50584, 73340, 53945, 52330, 51527, 51207, 51346, 51444, 51221, 50960, 51112, 50929, 51116, 51076, 51345, 50439, 52013, 59220, 50370, 52094, 62564, 51444, 50874, 51207, 51376, 67293, 67325, 51076, 51051, 50455, 51848, 50912, 50462, 51098, 51761, 51444, 51221, 51207, 51221, 50960, 51110, 50929, 51124, 51076, 51116, 50463, 51873, 51527, 50816, 67049, 57656, 58948, 50857, 50478, 51207, 50959, 50929, 50959, 51076, 50933, 51444, 51051, 50960, 51051, 50479, 51321, 51022, 50485, 51994, 52208, 51540, 51150, 52311, 51725, 51346, 51207, 51116, 50998, 51162, 50929, 51178, 51032, 51116, 50415, 51848, 50380, 53323, 73340, 53891, 51725, 51043, 51207, 51178, 72094, 50998, 51162, 51032, 51124, 50439, 52013, 55892, 73340, 50984, 50454, 51725, 51058, 51207, 50866, 50986, 50955, 59664, 51032, 50959, 50455, 51848, 50912, 50462, 51098, 51573, 51725, 51194, 51207, 51121, 50986, 51177, 50998, 51110, 51032, 51100, 50463, 50816, 50374, 53323, 67789, 55785, 50822, 50478, 51207, 50942, 68583, 67271, 51725, 51337, 50986, 50942, 50479, 50856, 50907, 51540, 52679, 56082, 51584, 54484, 51793, 51352, 51725, 51233, 51504, 51110, 51131, 51178, 50970, 51100, 50947, 51100, 50415, 51531, 51552, 51848, 65280, 50369, 52268, 61699, 50856, 56006, 51725, 51377, 51504, 51400, 58993, 72429, 50970, 66326, 51531, 51552, 52013, 53701, 50584, 50370, 52094, 62564, 51725, 50977, 51504, 50978, 79740, 67418, 63852, 50462, 51725, 51178, 51504, 51221, 58183, 67830, 58993, 50463, 51531, 51527, 50816, 54336, 56706, 58948, 50864, 50478, 53691, 51427, 50947, 51365, 51725, 50822, 51504, 50959, 62459, 50970, 50959, 50479, 51848, 50371, 53323, 51123, 50485, 54445, 51551, 51783, 51196, 51540, 51793, 51469, 51725, 51221, 51504, 51363, 51131, 51178, 65930, 66906, 50970, 51111, 50415, 51873, 51573, 51848, 59260, 72838, 60394, 51725, 51051, 51504, 51051, 68860, 51131, 66059, 51994, 51388, 50438, 52679, 51469, 51584, 52536, 51725, 51346, 51504, 51157, 50986, 51346, 50970, 51157, 50947, 51124, 50439, 52013, 50371, 53323, 73340, 69506, 52498, 52369, 50454, 51725, 50959, 51504, 50959, 68860, 69236, 67292, 50462, 51504, 51178, 51725, 50849, 63896, 50970, 51121, 58993, 50463, 50856, 56485, 54620, 58948, 50904, 50478, 51725, 50822, 51504, 50978, 66805, 67395, 62458, 50479, 51848, 50827, 51540, 51584, 51551, 51567, 52195, 51793, 52195, 51725, 51346, 51504, 51267, 70804, 69160, 76901, 50986, 51073, 50415, 51531, 52097, 51848, 54858, 50584, 50370, 52094, 53945, 51555, 51356, 51902, 51356, 52078, 51496, 51444, 51162, 51207, 51056, 51311, 51238, 50960, 51091, 50929, 50983, 75743, 50439, 52330, 52311, 52013, 55921, 50370, 52094, 68926, 51848, 50912, 50462, 53240, 51552, 51725, 51191, 51504, 51241, 50986, 51091, 50970, 51204, 50947, 51134, 51131, 51191, 50463, 51584, 50918, 51321, 50369, 52094, 55182, 53225, 50822, 50464, 51783, 50983, 50476, 51873, 51460, 50479, 51321, 51022, 51540, 52041, 52382, 51555, 52382, 53691, 55362, 51725, 51056, 51207, 51056, 50998, 51095, 50929, 51377, 50415, 51848, 50380, 53323, 73340, 79171, 51994, 52208, 50438, 51725, 51423, 50998, 51203, 51032, 51255, 51207, 51194 ]
[ 0, 250, 33928, 8, 19448, 1619, 3495, 2214, 11, 211, 538, 6, 4246, 10, 13305, 6, 1021, 5901, 1243, 6, 8, 3551, 139, 4, 20, 2125, 16, 11, 155, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 4, 20, 1049, 33215, 16739, 16, 211, 6, 272, 6, 211, 6, 272, 6, 83, 6, 2351, 10, 32076, 8, 3722, 5466, 1328, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 75571, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 50896, 52040, 51274, 52176, 51585, 51275, 51585, 55030, 57944, 52461, 52309, 51280, 50806, 51578, 52322, 51198, 50896, 51516, 50896, 51034, 51516, 50896, 51489, 51196, 51869, 51585, 51232, 51585, 53398, 57944, 51516, 52309, 51578, 52322, 51516, 50896, 51034, 51869, 50896, 51232, 51274, 51153, 51196, 51489, 51196, 55030, 57944, 51232, 52309, 51198, 52322, 52040, 50896, 51429, 50896, 51275, 50896, 51034, 52176, 51196, 51099, 51196, 51429, 51196, 51198, 51585, 55030, 73078, 51708, 53585, 52040, 50896, 51275, 50896, 51034, 51489, 50806, 52533, 51585, 51280, 51585, 51153, 51585, 53398, 59047, 51275, 52247, 51489, 52309, 52040, 50806, 52070, 52322, 51280, 50896, 51516, 50896, 51034, 51578, 51196, 53483, 51585, 51198, 51585, 51275, 51585, 53879, 73078, 51232, 52322, 51516, 50806, 51494, 55451, 51578, 50806, 51034, 52461, 51196, 51869, 51585, 51099, 51585, 51275, 51585, 53879, 51161, 50438, 51578, 50896, 51034, 51099, 50896, 51516, 51196, 52040, 51585, 51275, 51585, 55030, 73078, 51198, 52322, 52040, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 50438, 51280, 50896, 51578, 50896, 51034, 51198, 51196, 51275, 51196, 53483, 51585, 51429, 51585, 59421, 57944, 51232, 52309, 51198, 72328, 52040, 50896, 51516, 50896, 51034, 51429, 51196, 52176, 51585, 52040, 51585, 51099, 51585, 55030, 51161, 50438, 51119, 50896, 51034, 51099, 51196, 52533, 51585, 52040, 51585, 51232, 51585, 59421, 73078, 51099, 53585, 51494, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 50438, 51578, 50896, 51034, 51275, 51196, 51198, 51685, 53483, 51585, 51429, 51585, 53879, 51161, 50438, 51516, 51160, 51198, 55451, 51280, 50806, 52070, 50806, 51034, 51516, 53898, 51869, 54089, 52040, 54089, 51429, 54089, 55030, 52045, 51018, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 50896, 52040, 51274, 51275, 51196, 52176, 51585, 55030, 51161, 62953, 65951, 52461, 52309, 51280, 50806, 51578, 52322, 51198, 50896, 51516, 50896, 51034, 51516, 50896, 51489, 51196, 51869, 51585, 51232, 51585, 53398, 51161, 56882, 65951, 51516, 52309, 51578, 52322, 51516, 50896, 51034, 51869, 50896, 51232, 51274, 51153, 51196, 51489, 51196, 55030, 51161, 56882, 65951, 51232, 52309, 51198, 52322, 52040, 50896, 51429, 50896, 51275, 50896, 51034, 52176, 51196, 51099, 51196, 51429, 51196, 51198, 51585, 55030, 51161, 57090, 51585, 50432, 51708, 53585, 52040, 50896, 51275, 50896, 51034, 51489, 50806, 52533, 51585, 51280, 51585, 51153, 51585, 53398, 51161, 56882, 69033, 51275, 52247, 51489, 52309, 52040, 50806, 52070, 52322, 51280, 50896, 51516, 50896, 51034, 51578, 51196, 53483, 51585, 51198, 51585, 51275, 51585, 53879, 51161, 57441, 51585, 50432, 51232, 52322, 51516, 50806, 51494, 55451, 51578, 50806, 51034, 52461, 51196, 51869, 51585, 51099, 51585, 51275, 51585, 53879, 51161, 57441, 51585, 50438, 51578, 50896, 51034, 51099, 50896, 51516, 51196, 52040, 51585, 51275, 51585, 55030, 51161, 62953, 51585, 50432, 51198, 52322, 52040, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 56882, 51585, 50438, 51280, 50896, 51578, 50896, 51034, 51198, 51196, 51275, 51196, 53483, 51585, 51429, 51585, 59421, 51161, 62953, 65951, 51232, 52309, 51198, 72328, 52040, 50896, 51516, 50896, 51034, 51429, 51196, 52176, 51585, 52040, 51585, 51099, 51585, 55030, 51161, 57090, 51585, 50438, 51119, 50896, 51034, 51099, 51196, 52533, 51585, 52040, 51585, 51232, 51585, 59421, 51161, 62953, 51585, 50432, 51099, 53585, 51494, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 56882, 51585, 50438, 51578, 50896, 51034, 51275, 51196, 51198, 51685, 53483, 51585, 51429, 51585, 53879, 51161, 62953, 60655, 51516, 50806, 51198, 50896, 62953, 52692, 51280, 50806, 52070, 50806, 58252, 50806, 51034, 51516, 53898, 51869, 54089, 52040, 54089, 51429, 54089, 55030, 52045, 57090, 54089, 62953, 53898, 51018, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 51274, 52176, 51196, 51869, 51196, 51275, 51585, 55030, 73078, 51708, 50806, 51578, 52322, 52040, 50896, 51516, 50896, 51034, 51578, 50806, 51708, 51196, 51198, 51196, 52070, 51585, 53879, 59047, 51516, 52247, 51578, 52309, 52461, 52322, 51494, 50896, 52353, 50896, 51034, 51280, 51196, 51099, 51196, 52778, 51196, 51516, 51585, 53398, 57944, 51099, 55224, 51232, 52322, 51198, 50896, 52353, 50896, 51034, 52040, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 50438, 51578, 52692, 51516, 50806, 51034, 51708, 50896, 51198, 50896, 51578, 51196, 52070, 51585, 53879, 57944, 51232, 53585, 51494, 50896, 52353, 50896, 51034, 51198, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 50438, 51578, 50896, 51034, 51869, 50896, 51232, 51274, 51516, 51196, 51489, 51585, 53398, 57944, 51232, 55224, 51198, 52322, 52040, 50896, 51489, 50896, 51034, 52176, 50896, 51232, 50896, 51489, 51196, 51153, 51585, 53398, 57944, 51708, 53585, 51489, 50806, 52040, 55451, 51275, 50806, 51034, 51869, 50896, 51198, 51196, 51429, 51196, 51099, 51585, 55030, 73078, 52040, 52322, 52176, 50896, 51119, 50896, 51034, 52649, 50896, 51869, 51196, 51099, 51196, 51232, 51585, 59421, 73078, 51708, 52322, 52040, 50896, 52461, 50896, 51034, 51869, 51196, 51280, 51196, 51489, 51196, 51153, 51585, 53398, 51161, 50438, 51708, 50896, 51578, 50896, 51034, 52176, 51196, 52040, 51196, 51275, 51196, 51429, 51585, 59421, 51161, 50438, 51869, 50896, 52353, 50896, 51034, 52778, 50806, 51869, 51196, 51280, 51196, 51153, 51585, 53398, 59047, 52353, 52247, 51837, 52309, 52461, 52322, 51578, 52692, 51516, 50806, 51034, 51708, 51196, 51198, 51196, 51578, 51196, 51275, 51585, 53879, 57944, 51708, 53585, 51516, 50806, 51280, 55451, 52070, 50806, 51034, 51516, 53898, 52176, 54089, 52040, 54089, 51099, 54089, 51429, 54089, 55030, 52045, 51018, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 51274, 52176, 51196, 51869, 51196, 51275, 51585, 55030, 51161, 62953, 51585, 50432, 51708, 50806, 51578, 52322, 52040, 50896, 51516, 50896, 51034, 51578, 50806, 51708, 51196, 51198, 51196, 52070, 51585, 53879, 51161, 57441, 69033, 51516, 52247, 51578, 52309, 52461, 52322, 51494, 50896, 52353, 50896, 51034, 51280, 51196, 51099, 51196, 52778, 51196, 51516, 51585, 53398, 51161, 59041, 65951, 51099, 55224, 51232, 52322, 51198, 50896, 52353, 50896, 51034, 52040, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 57441, 51585, 50438, 51578, 52692, 51516, 50806, 51034, 51708, 50896, 51198, 50896, 51578, 51196, 52070, 51585, 53879, 51161, 57441, 65951, 51232, 53585, 51494, 50896, 52353, 50896, 51034, 51198, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 57441, 51585, 50438, 51578, 50896, 51034, 51869, 50896, 51232, 51274, 51516, 51196, 51489, 51585, 53398, 51161, 59041, 65951, 51232, 55224, 51198, 52322, 52040, 50896, 51489, 50896, 51034, 52176, 50896, 51232, 50896, 51489, 51196, 51153, 51585, 53398, 51161, 56882, 65951, 51708, 53585, 51489, 50806, 52040, 55451, 51275, 50806, 51034, 51869, 50896, 51198, 51196, 51429, 51196, 51099, 51585, 55030, 51161, 57090, 51585, 50432, 52040, 52322, 52176 ]
[ 0, 713, 25771, 5175, 2214, 6670, 10, 3366, 219, 8, 5679, 26709, 5466, 19, 63, 19448, 34879, 4, 660, 21979, 8669, 3315, 5, 169, 6, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 3551, 139, 6, 8, 38668, 2236, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 18399, 36830, 227, 5, 40286, 9, 230, 8, 274, 401, 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 ]	[ 57211, 62701, 54745, 63313, 52628, 69000, 50918, 50447, 75232, 51923, 66349, 50983, 66243, 62701, 53307, 63313, 52444, 69000, 50918, 52177, 75232, 51631, 66349, 51091, 50447, 62701, 52555, 63313, 54139, 69000, 51291, 66243, 75232, 54789, 66349, 51091, 50456, 52356, 50830, 67896, 51036, 64509, 52036, 51492, 50693, 50273, 55956, 52744, 59980, 52036, 51492, 52137, 51492, 52430, 51492, 52626, 51492, 50416, 52735, 51492, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51093, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51113, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 77215, 50804, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 52534, 51036, 60351, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 50804, 52744, 74862, 50809, 51570, 50809, 51572, 69342, 68125, 50809, 52320, 73165, 52485, 51107, 58747, 52744, 69299, 50809, 52288, 51358, 65660, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51154, 58101, 74219, 52359, 50804, 52744, 74862, 52444, 51154, 52744, 50809, 51572, 52510, 50945, 51291, 51088, 50967, 56311, 51291, 50804, 52744, 68125, 50809, 52320, 73165, 52485, 51154, 57068, 69299, 50809, 67896, 51036, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51093, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51113, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 77215, 50804, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 52534, 51036, 60351, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 50804, 52744, 74862, 50809, 51570, 50809, 51572, 69342, 68125, 50809, 52320, 73165, 52485, 51107, 58747, 52744, 69299, 50809, 52288, 51358, 65660, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51154, 58101, 74219, 52359, 50804, 52744, 74862, 52444, 51154, 58101, 50809, 51572, 52510, 50945, 51291, 51088, 50967, 56311, 51291, 50804, 52744, 68125, 50809, 52320, 73165, 52485, 51154, 57068, 69299, 50809, 67896, 51358, 52430, 51492, 50693, 50273, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51113, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51299, 58101, 68125, 50809, 52320, 73165, 52485, 51251, 55157, 52744, 69299, 50809, 56142, 51358, 50693, 50275, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51154, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51088, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51358, 64509, 50693, 50273, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51113, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51299, 58101, 68125, 50809, 52320, 73165, 52485, 51251, 55157, 52744, 69299, 50809, 56142, 51358, 50693, 50275, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51154, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51088, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51358, 64509, 50693, 50273, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51113, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51299, 58101, 68125, 50809, 52320, 73165, 52485, 51251, 55157, 52744, 69299, 50809, 56142, 51358, 50693, 50275, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51154, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51113, 60114, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 52534, 51358, 60351, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51165, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51107, 58747, 52744, 69299, 50809, 52288, 50918, 65660, 54805, 52744, 50809, 51402, 68709, 75391, 52329, 51154, 58101, 74219, 52359, 50804, 52744, 74862, 52444, 51154, 52744, 50809, 51572, 52510, 79503, 51088, 50967, 56311, 52496, 52744, 68125, 50809, 52320, 73165, 52485, 51154, 57068, 69299, 50809, 67896, 51358, 50988, 50830, 60001, 50693, 50273, 64253, 52744, 50809, 51402, 52628, 50946, 50967, 50850, 58101, 75391, 50809, 51544, 74219, 52359, 51201, 50967, 50946, 55541, 52496, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 52555, 50988, 50830, 50847, 52744, 73165, 52485, 51165, 51091, 50988, 50983, 50847, 55157, 52744, 69299, 50809, 53596, 51358, 50693, 50278, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 50830, 50848, 50967, 51007, 57439, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51093, 56378, 71352, 53661, 52744, 68125, 52555, 50885, 50967, 50909, 58101, 73165, 50809, 51453, 69299, 50809, 67896, 51358, 51154, 60460, 50830, 60001, 50693, 50273, 64253, 52744, 50809, 51402, 52628, 50946, 50967, 50850, 58101, 75391 ]
[ 0, 1121, 42, 17627, 17274, 5175, 2214, 6, 41, 21979, 8669, 1239, 5, 483, 6, 7513, 30, 10, 30587, 3459, 8669, 6, 3459, 9590, 6, 38668, 20535, 6, 8, 18558, 4, 590, 10, 748, 1879, 15525, 20889, 9, 24621, 741, 1685, 6, 24, 18, 278, 11, 5, 762, 9, 83, 538, 8, 1575, 10, 33215, 16739, 9, 381, 6, 211, 6, 83, 6, 381, 6, 8, 211, 4, 20, 5425, 86, 6543, 9, 24621, 73, 306, 3639, 41, 14816, 7510, 7, 42, 15352, 30054, 8, 5679, 26709, 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 ]	[ 59626, 60859, 50942, 51768, 62727, 78462, 59015, 51006, 50446, 51067, 61326, 51292, 51016, 50903, 50933, 53534, 53601, 50947, 55362, 51688, 52122, 50868, 51717, 50415, 51217, 52250, 50946, 52122, 50850, 55428, 50417, 51125, 55068, 51768, 50938, 51955, 50910, 50796, 51768, 59979, 51067, 51454, 50446, 51067, 61326, 51292, 51090, 50903, 78123, 51688, 52122, 53534, 53601, 50947, 56082, 51217, 52250, 50868, 52122, 50946, 52122, 59609, 52250, 50416, 51125, 55068, 51768, 50897, 51955, 50897, 50796, 51768, 58877, 51067, 51454, 50446, 51067, 61326, 51292, 51090, 50903, 62990, 61466, 57835, 53534, 51090, 50947, 51566, 71047, 61560, 65148, 51125, 57908, 52657, 51055, 51316, 51454, 71209, 61560, 62781, 51125, 63096, 56983, 51415, 51175, 51067, 51175, 50946, 51194, 50868, 51194, 77645, 51007, 51194, 50446, 52022, 50940, 51316, 50921, 70493, 59227, 67662, 51125, 58460, 51817, 51175, 51067, 51060, 50946, 51233, 50868, 51233, 51007, 51194, 50903, 61076, 50953, 51566, 51076, 51055, 74962, 62224, 60154, 76168, 56020, 51271, 50921, 51076, 50921, 74962, 62224, 60154, 50935, 57908, 50927, 51192, 50947, 51227, 50903, 58877, 51213, 50980, 74962, 50848, 57885, 51003, 50935, 56509, 50929, 51175, 50446, 51213, 50940, 70541, 50988, 50878, 61375, 64829, 50935, 58332, 50953, 51227, 50947, 51158, 50988, 51043, 50848, 51233, 66276, 50935, 51194, 50903, 62990, 50929, 50952, 50988, 50942, 59081, 64829, 50935, 50942, 53534, 50896, 50947, 51055, 52575, 54300, 71209, 50868, 60069, 51003, 51125, 57908, 52657, 51227, 51316, 51500, 71209, 64939, 65148, 51125, 63096, 56983, 51415, 51167, 51067, 51175, 50946, 51194, 50868, 51194, 77645, 51007, 51194, 50446, 52022, 50940, 51316, 50921, 50946, 50942, 59227, 67662, 51125, 58460, 51817, 51379, 51067, 54572, 51194, 67477, 77645, 51007, 51194, 50903, 62371, 68580, 51076, 51500, 74962, 62224, 68205, 76168, 56020, 51271, 50921, 51076, 51033, 74962, 50848, 57885, 51003, 50935, 58299, 50927, 51173, 50947, 77463, 59979, 51213, 51500, 52730, 50910, 74962, 50848, 57885, 51003, 50935, 56509, 50929, 51175, 50446, 51213, 50940, 50929, 50940, 52575, 50830, 50988, 50878, 59081, 59629, 50935, 58332, 50953, 51227, 50947, 51192, 50988, 51194, 50848, 51233, 66276, 50935, 51194, 50903, 61963, 59675, 52107, 51013, 50988, 50942, 59081, 59629, 50935, 50942, 53534, 51090, 50947, 51290, 71209, 64939, 65148, 51125, 51003, 50422, 52575, 53363, 50426, 52657, 51055, 51316, 51566, 71209, 50868, 60069, 51003, 51125, 63096, 52599, 51415, 51175, 51067, 51175, 50946, 51194, 67477, 77645, 51007, 51194, 50446, 52022, 50940, 51316, 51033, 70493, 57835, 67662, 51125, 58460, 51817, 51175, 51067, 51111, 50946, 51194, 67477, 77645, 51007, 51194, 50903, 61963, 50953, 51566, 51076, 51055, 74962, 50848, 57885, 51003, 50935, 51003, 56020, 51271, 50921, 51076, 50921, 74962, 50848, 57885, 51003, 50935, 58299, 50927, 51192, 50947, 51227, 50903, 59979, 51213, 50980, 52730, 50952, 74962, 50848, 57885, 51003, 50935, 56509, 50929, 51192, 50446, 51213, 50940, 50929, 50921, 52575, 50952, 50988, 50942, 59081, 64829, 50935, 58332, 50953, 51227, 50947, 51158, 50988, 51194, 73172, 66276, 50935, 51194, 50903, 57459, 50929, 50952, 52107, 60460, 50878, 59081, 59629, 50935, 50942, 53534, 50896, 50947, 51290, 71209, 50868, 60069, 51003, 51125, 51003, 50422, 52575, 52903, 50426, 52657, 51227, 51316, 51566, 71209, 50868, 60069, 51003, 51125, 63096, 52599, 51415, 51167, 51067, 50967, 50946, 51194, 67477, 65198, 51007, 51194, 50446, 52022, 50940, 51316, 50940, 50946, 50942, 57835, 61302, 51125, 58332, 51817, 51379, 51067, 54572, 51194, 67477, 68098, 51007, 51194, 50903, 57459, 68580, 60183, 74962, 50848, 57885, 51003, 50935, 51003, 56020, 51271, 50921, 51076, 50921, 74962, 59762, 60154, 50935, 58299, 50927, 51173, 50903, 59979, 51213, 51500, 51076, 50921, 74962, 59762, 68205, 50935, 51003, 50446, 51213, 50940, 50947, 51091, 50988, 50878, 61375, 64829, 50935, 58332, 50953, 51227, 50988, 51194, 50848, 51233, 66276, 50935, 51043, 50903, 58839, 50988, 50878, 59081, 59629, 71875, 53534, 52570, 52197, 51661, 71047, 61560, 65148, 51125, 57908, 71047, 61560, 65148, 51125, 56389, 52197, 50952, 71047, 61560, 65148, 51125, 50943, 50446, 52197, 51294, 50450, 50946, 51194, 50868, 51233, 77645, 51125, 51194, 50458, 71047, 50868, 60069, 51003, 51125, 50943, 50799, 52197, 51336, 50422, 71047, 50868, 60069, 51003, 51125, 50943, 50434, 51316, 50940, 71047, 50868, 60069, 51003, 51125, 56389, 70344, 53286, 51016, 50446, 70493, 57835, 67662, 51125, 58332, 51316, 51013, 53859, 51055, 50946, 51194, 50868, 51233, 77645, 51125, 51178, 50458, 70493, 59227, 61302, 51125, 50942, 52563, 52536, 50947, 54454, 52107, 51290, 74962, 59762, 60154, 50935, 57908, 53859, 50980, 74962, 50848, 57885, 51003, 50935, 56389, 53286, 67845, 51003, 50848, 57885, 51003, 76168, 50446, 52197, 51345, 50450, 50988, 51194, 73172, 65806, 50935, 51194, 50458, 51271, 51469, 52197, 51358, 50988, 50943, 59762, 60154, 50935, 51003, 56020, 50988, 50943, 50848, 57885, 51003, 50935, 51003, 50434, 51316, 50940, 74962, 62224, 60154, 50935, 56389, 51067, 51013, 50446, 50988, 50955, 61375, 59629, 50935, 58460, 51316, 51013, 53859, 51055, 50988, 51194, 69815, 65806, 50935, 51178, 50458, 67102, 59629, 50935, 50925, 56540, 54089, 50947, 54300, 52107, 51013, 59762, 73061, 65148, 51007, 55382, 53859, 51055, 62224, 50944, 60069, 72366, 56509, 53286, 58922, 51003, 50944, 60069, 51003, 51007, 51003, 50446, 52197, 63112, 73172, 50944, 51043, 77645, 69777, 50458, 52197, 51294, 62224, 50944, 60069, 51003, 51007, 50915, 56020, 70985, 73061, 65148, 51007, 55382, 53955, 51013, 50434, 51133, 51160, 72918, 60104, 61983, 50909, 56389, 52197, 51013, 50446, 51133, 51362, 72918, 61560, 61983, 50909, 57197, 53859, 51016, 50458, 74232, 66581, 64829, 50909, 50942, 53534, 53241, 50998, 52536, 52197, 51661, 71209, 61560, 65148, 51125, 57908, 71209, 61560, 62781, 51125, 51003, 50434, 53955, 53402, 53331, 51894, 71209, 50868, 60069, 50943, 51125, 57197, 50946, 51194, 67477, 77645, 51125, 51194, 50458, 51011, 51469, 50998, 50830, 71209, 61560, 62781, 51125, 51003, 60938, 51060, 50422, 74444, 71209, 61560, 62781, 51125, 57908, 50929, 51157, 50434, 71209, 61560, 65148, 51125, 56389, 50947, 51413, 50446, 50946, 50942, 66581, 66552, 51125, 58332, 50946, 51194, 67477, 50850, 51178, 51125, 51194, 50458, 50946, 50942, 59227, 67662, 51125, 50942, 53534, 52266, 52197, 51196, 71047, 61560, 65148, 51125, 50943, 52170, 52195, 62810, 50943, 61560, 65148, 51125, 56389, 52197, 51167, 71047, 61560, 65148, 51125, 50943, 52170, 77778, 51817, 51379, 52197, 51215, 50946, 51194, 50868, 51233, 77645, 51125, 51194, 52170, 51033, 50454, 52170, 52311, 50458, 52657, 51685, 52197, 51977, 71047, 50868, 60069, 51003, 51125, 50943, 56020, 71047, 50868, 60069, 51003, 51125, 50943, 50434, 71047, 50868, 60069, 51003, 51125, 56389, 51817, 50896, 51076, 51196, 53286, 50896, 50446, 70493, 57835, 67662, 51125, 58332, 51011, 51055, 53859, 51055, 50946, 51194, 50868, 51233, 77645, 51125, 51178, 50458, 70493, 59227, 61302, 51125, 50942, 52563, 53241, 50947, 52392, 52107, 51016, 74962, 59762, 60154, 50935, 57908, 53859, 50896, 74962, 50848, 57885, 51003, 50935, 56389, 53286, 51290, 74962, 50848, 57885, 51003, 50935, 56508 ]
[ 0, 250, 15352, 30054, 8, 1372, 5175, 14123, 3495, 2214, 4246, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 2342, 4467, 4, 85, 18, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 9, 24404, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 3676, 6, 163, 406, 6, 8, 83, 4, 152, 1349, 34, 10, 19448, 8, 12298, 16464, 6, 442, 24, 10686, 13, 1619, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 53053, 51196, 51207, 51109, 50960, 51109, 51368, 51196, 60936, 55274, 50386, 51765, 56868, 50929, 51109, 51076, 51109, 52906, 52870, 69239, 70225, 69999, 51207, 57616, 54357, 52265, 50804, 52493, 66162, 65109, 51207, 51134, 50960, 51134, 50929, 51134, 51076, 51134, 58711, 51196, 51545, 51196, 50852, 55274, 55186, 50852, 53083, 51076, 51109, 50929, 51109, 50960, 51109, 51207, 65475, 54357, 57151, 53563, 62957, 54468, 51196, 51207, 51109, 50960, 51109, 51265, 51196, 60936, 55274, 58842, 50929, 51109, 51076, 51109, 52906, 52870, 69239, 70225, 69999, 51207, 57616, 54357, 57151, 52975, 50804, 52493, 59076, 51207, 51134, 50960, 51134, 50929, 51134, 51076, 51134, 57842, 51196, 51368, 51196, 50852, 55274, 55186, 50852, 66162, 53711, 51076, 51109, 50929, 51109, 50960, 51109, 51207, 65475, 54357, 52193, 62957, 54468, 50806, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 51109, 51265, 50807, 51223, 50807, 51350, 50807, 51355, 50807, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 50947, 51109, 50420, 51137, 53072, 52870, 50947, 50892, 50998, 50987, 70437, 51265, 50807, 51223, 50807, 51350, 50807, 51355, 52496, 54357, 52265, 51374, 50806, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 65475, 52493, 66162, 65109, 50998, 51109, 50947, 51109, 54585, 53072, 55274, 55186, 65476, 50947, 50892, 50998, 50987, 70437, 51265, 50983, 51223, 50983, 51350, 50983, 51355, 50983, 50852, 53083, 52012, 51109, 51574, 51109, 51131, 51109, 50986, 65475, 54357, 57151, 57905, 50998, 51109, 50947, 77948, 51374, 53072, 50841, 54468, 51196, 52012, 51151, 51574, 51151, 52331, 51469, 60936, 55274, 58842, 51131, 51714, 50986, 51714, 50416, 50998, 51714, 50947, 51714, 52906, 52870, 52155, 55113, 54357, 57151, 52975, 50804, 52493, 50841, 54585, 51196, 51752, 53072, 55274, 55186, 51596, 58979, 66162, 50883, 51382, 54357, 52193, 51789, 51274, 62957, 54468, 50883, 51574, 51115, 51311, 51115, 50998, 51109, 53180, 53971, 53671, 55274, 50386, 51765, 56868, 51910, 78551, 51109, 51076, 51109, 51915, 70325, 51416, 50883, 51684, 50883, 51482, 50841, 51726, 51226, 50417, 52474, 51226, 52906, 52870, 69239, 51169, 50987, 50998, 50987, 51350, 50806, 51789, 52420, 53333, 52209, 51910, 50806, 51574, 51115, 51311, 51115, 50998, 51109, 51596, 52420, 52493, 66162, 65109, 51169, 51109, 51076, 61148, 51195, 51196, 51789, 53072, 55274, 55186, 51910, 50806, 69239, 51169, 50987, 50998, 50987, 51545, 51274, 51565, 58979, 53083, 51684, 50806, 51574, 51109, 51311, 51109, 50998, 65475, 53333, 60125, 57905, 51169, 51109, 51076, 77948, 52474, 50806, 51686, 51274, 62957, 57958, 51274, 51444, 51115, 51131, 51115, 50960, 51109, 52331, 53971, 53671, 55274, 58842, 51078, 51109, 50947, 51109, 53180, 70325, 51915, 50841, 51482, 51226, 52906, 52870, 50947, 50892, 51078, 50987, 69999, 51195, 50806, 51686, 55113, 53333, 60125, 52975, 51684, 50806, 51444, 51115, 51131, 51115, 50960, 65475, 52493, 59076, 51078, 51109, 50947, 51109, 54585, 51055, 51195, 51196, 51565, 53072, 55274, 55186, 50947, 50892, 51078, 50987, 69999, 51223, 51274, 51789, 58979, 66162, 53711, 51684, 51055, 51444, 51109, 51131, 51109, 50960, 65475, 53333, 56086, 51078, 51109, 50947, 77948, 51596, 53072, 50841, 54920, 51274, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 51109, 51915, 51274, 51789, 51196, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 51032, 51109, 52906, 52870, 51032, 50892, 50998, 50987, 70437, 77397, 51223, 52420, 53333, 52209, 52993, 50806, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 65475, 52493, 66162, 65109, 50998, 51109, 51032, 61148, 51368, 51274, 51223, 53072, 55274, 55186, 52993, 50806, 51032, 50892, 50998, 50987, 70437, 51545, 52586, 60372, 51436, 72208, 76443, 51725, 51109, 51574, 51109, 51207, 51109, 50986, 65475, 53333, 60125, 57905, 50998, 51109, 51032, 77948, 51910, 50806, 51726, 64518, 53072, 50841, 54468, 51274, 52012, 51115, 51574, 51115, 51131, 51115, 51317, 51109, 60936, 55274, 58842, 50998, 51109, 50947, 51109, 50420, 51726, 64518, 53072, 52870, 50947, 50892, 50998, 50987, 51317, 50987, 52155, 55113, 53333, 60125, 52975, 51374, 50806, 52012, 51115, 51574, 51115, 51131, 51115, 51317, 51109, 51368, 51685, 50804, 52493, 59076, 50998, 51109, 50947, 61148, 51752, 53072, 55274, 55186, 51374, 50806, 50947, 50892, 50998, 50987, 51317, 50987, 51726, 50806, 51596, 58979, 66162, 53711, 51349, 51055, 52012, 51109, 51574, 51109, 51131, 51109, 51317, 51109, 51482, 52420, 53333, 56086, 50998, 51109, 50947, 77948, 51915, 50806, 51789, 51274, 62957, 54468, 50883, 51574, 51115, 51311, 51115, 50998, 51109, 53180, 53971, 53671, 55274, 50386, 51765, 56868, 51910, 78551, 51109, 51076, 51109, 51915, 70325, 51416, 50883, 51684, 50883, 51482, 50841, 51726, 51226, 50417, 52474, 51226, 52906, 52870, 69239, 51169, 50987, 50998, 50987, 51350, 50806, 51789, 52420, 53333, 52209, 51910, 50806, 51574, 51115, 51311, 51115, 50998, 51109, 51596, 52420, 52493, 66162, 65109, 51169, 51109, 51076, 61148, 51195, 51196, 51789, 53072, 55274, 55186, 51910, 50806, 69239, 51169, 50987, 50998, 50987, 51545, 51274, 51565, 58979, 53083, 51684, 50806, 51574, 51109, 51311, 51109, 50998, 65475, 53333, 60125, 57905, 51169, 51109, 51076, 77948, 52474, 50806, 51686, 51274, 62957, 57958, 51274, 51444, 51115, 51131, 51115, 50960, 51109, 52331, 53971, 53671, 55274, 58842, 51078, 51109, 50947, 51109, 53180, 70325, 51915, 50841, 51482, 51226, 52906, 52870, 50947, 50892, 51078, 50987, 69999, 51195, 50806, 51686, 55113, 53333, 60125, 52975, 51349, 51055, 51444, 51115, 51131, 51115, 50960, 65475, 52493, 59076, 51078, 51109, 50947, 61148, 77397, 51545, 50806, 51565, 58979, 55274, 55186, 69789, 69239, 70225, 50960, 67011, 66162, 53711, 51137, 51055, 51207, 51109, 50960, 51109, 77397, 51545, 50806, 51789, 52420, 53333, 56086, 50929, 51109, 51076, 77948, 51596, 53072, 50841, 54309, 51274, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 51109, 51915, 50896, 51789, 51196, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 51032, 51109, 52906, 52870, 51032, 50892, 50998, 50987, 70437, 51915, 51274, 51368, 51274, 51223, 51274, 50804, 53333, 52209, 65476, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 65475, 52493, 66162, 65109, 50998, 51109, 51032, 61148, 50852, 55274, 55186, 65476, 51032, 50892, 50998, 50987, 70437, 51915, 50896, 51368, 50896, 51223, 58979, 53083, 51137, 51055, 51725, 51109, 51574, 51109, 51207, 51109, 59655, 66286, 51032, 54371, 74932, 53563, 51032, 50892, 50998, 50987, 70437, 51915, 50806, 77397, 51223, 50806, 54309, 51055, 51725, 51109, 51574, 51109, 51207, 51109, 50986, 51109, 51915, 50896, 51368, 50896, 51223, 50896, 51935, 51459, 50386, 51765, 56868, 50998, 51109, 51032, 66038, 51789, 53585, 51596, 52692, 51752, 50896, 51382, 53650, 52155, 51274, 54468, 51055, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 51109, 51265, 51036, 51350, 51036, 51355, 51036, 51536, 51036, 52395, 51036, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 50947, 51109, 52906, 52870, 50947, 50892, 50998, 50987, 70437, 52155, 52420, 53333, 52209, 51349, 51685, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 51109, 52182, 52420, 52493, 66162, 65109, 50998, 51109, 50947, 61148, 52155, 53072, 55274, 55186, 50947, 50892, 50998, 50987, 70437, 51752, 58979, 53083 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 6, 1969, 13, 5, 1619, 191, 4, 20, 13305, 8, 32909, 483, 5, 33301, 6, 7513, 30, 5, 32625, 23225, 9, 5, 5730, 2342, 4467, 6, 38668, 22052, 6, 8, 38668, 2236, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 1375, 23, 41, 1614, 1073, 1020, 2877, 6, 24, 3905, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 1918, 6, 272, 406, 6, 8, 230, 4, 20, 204, 73, 306, 86, 6543, 31473, 10, 1472, 9, 5443, 7, 42, 8787, 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 ]	[ 57528, 50799, 53075, 51714, 51231, 50943, 51327, 51218, 51818, 60413, 51476, 51080, 50423, 51825, 51241, 55057, 50928, 51303, 71714, 51231, 51878, 50432, 51327, 51680, 50435, 52287, 51675, 50444, 51476, 50995, 50447, 51303, 51391, 57702, 50928, 51720, 50892, 51231, 58705, 51271, 50892, 54369, 64735, 51476, 51008, 56540, 51422, 53655, 51359, 51231, 51221, 51818, 51377, 50417, 52326, 51680, 50420, 51465, 67724, 51303, 51742, 51825, 51221, 55057, 53962, 51818, 55098, 51825, 76810, 53171, 51241, 50444, 79203, 51262, 54803, 51326, 50837, 52326, 51351, 51223, 50908, 51262, 53166, 51326, 54119, 50928, 68584, 51303, 51097, 63029, 51118, 77447, 68317, 51023, 79179, 51327, 51221, 51223, 50851, 51262, 54622, 51289, 50841, 70296, 51825, 50873, 51282, 50822, 51118, 68851, 50822, 51223, 51269, 51262, 79207, 51981, 50925, 51282, 50818, 51118, 50841, 62534, 51223, 50835, 51262, 50835, 51755, 51464, 50837, 51228, 51364, 56397, 51127, 53001, 51377, 54322, 51221, 52159, 51238, 51341, 51116, 51061, 50991, 51193, 52536, 52736, 51080, 52547, 51080, 54229, 51080, 51402, 51306, 54872, 51003, 51039, 51306, 51687, 51480, 51729, 50810, 51781, 54347, 50801, 56402, 51306, 51414, 50943, 51980, 50943, 51981, 50943, 54322, 50841, 52159, 50841, 62790, 51729, 50908, 51781, 50908, 51694, 51467, 50837, 51532, 51306, 54872, 51203, 54322, 50810, 52159, 50810, 63522, 51729, 78428, 79714, 51306, 51325, 50812, 51687, 50873, 54322, 50841, 52159, 50841, 51061, 54665, 50801, 55947, 51258, 52022, 50827, 51231, 51221, 51414, 51241, 51825, 51241, 51061, 51116, 51658, 51464, 50837, 51105, 51013, 56139, 51127, 52947, 51196, 53034, 51145, 52471, 51145, 53909, 51145, 51572, 51306, 52303, 51576, 51557, 50889, 51180, 51306, 51687, 51177, 51061, 51162, 51513, 50810, 51250, 54803, 50816, 59075, 51306, 51231, 50878, 51020, 50807, 51513, 50908, 51250, 50908, 51899, 51467, 50837, 51105, 51124, 51980, 51221, 51647, 51306, 51193, 50911, 51513, 50851, 51250, 50851, 51453, 51306, 51414, 50925, 51557, 50810, 51513, 51269, 51250, 51269, 51621, 51306, 50953, 50912, 51249, 50943, 51327, 51241, 51118, 51411, 51023, 51446, 51513, 50835, 51250, 50835, 51755, 51464, 50837, 50945, 51291, 53075, 51241, 51716, 51148, 52547, 51148, 53051, 51148, 51402, 51306, 51476, 51417, 52047, 51417, 51039, 51306, 51303, 51134, 51282, 51115, 79203, 51262, 50810, 51510, 51306, 51249, 50833, 51118, 51091, 51223, 50908, 51262, 50908, 51694, 51467, 50837, 51532, 51306, 53075, 51203, 51223, 50829, 51262, 79714, 51306, 51061, 53505, 50801, 54412, 51306, 63635, 51303, 51675, 51327, 51675, 51658, 51539, 50837, 50945, 51291, 53248, 51148, 52326, 51127, 51476, 51047, 51231, 51127, 51023, 50807, 51716, 51244, 52547, 51244, 53051, 51244, 51572, 51306, 52047, 51417, 50444, 58009, 51306, 51282, 51115, 79203, 51262, 54803, 50816, 55947, 51306, 51118, 51091, 51223, 50908, 51262, 71483, 50816, 51258, 50449, 76060, 51899, 51467, 50837, 51061, 50943, 51023, 50943, 54706, 51467, 51306, 51223, 50851, 51262, 54622, 50852, 50870, 51223, 51269, 51262, 51269, 62190, 51129, 50945, 50836, 51223, 50835, 51262, 50835, 65195, 53617, 51916, 50863, 50945, 51291, 56698, 51449, 51476, 50972, 51303, 51108, 51249, 51108, 51061, 51115, 51023, 51115, 51092, 51115, 51039, 51306, 51476, 51466, 51425, 50844, 51223, 55266, 51425, 51832, 51223, 51832, 51768, 51044, 50837, 51303, 51333, 51249, 51333, 51425, 51269, 51223, 51269, 50429, 51425, 50870, 51223, 50870, 51361, 51306, 51476, 51466, 51061, 51803, 51023, 51803, 51092, 51803, 51425, 52462, 51223, 52462, 56321, 51258, 65588, 51425, 50874, 51223, 50874, 51658, 52223, 50870, 50945, 51291, 51303, 51466, 51249, 51466, 51425, 51832, 51223, 51832, 50443, 53389, 51254, 52133, 50866, 51299, 55040, 54580, 51254, 53664, 50866, 51093, 55325, 51306, 51476, 52397, 51223, 51269, 51262, 51269, 50447, 51223, 50829, 51262, 56918, 53389, 51079, 52133, 50845, 51299, 53562, 54580, 51079, 53664, 50845, 51093, 79966, 64429, 51044, 50837, 51303, 51333, 51249, 51333, 50453, 51223, 51258, 51262, 51258, 50455, 53389, 51254, 51743, 50845, 51154, 53586, 54580, 51079, 52756, 50845, 51201, 52839, 51306, 51476, 51387, 50461, 51743, 51965, 51656, 51115, 51113, 51115, 50799, 52756, 51965, 53036, 51115, 51284, 51115, 51887, 51397, 51898, 51447, 51431, 51047, 52689, 51490, 53686, 51490, 54992, 51047, 61670, 50863, 50945, 51472, 56698, 51314, 51476, 50838, 51303, 50932, 51249, 50932, 51061, 51115, 51023, 51115, 51092, 51115, 51039, 51306, 51476, 52011, 51425, 50844, 51223, 55266, 51425, 51832, 51223, 51832, 51768, 51044, 50837, 51303, 51466, 51249, 51466, 51425, 51269, 51223, 51269, 50429, 51425, 50870, 51223, 62169, 54580, 51079, 52756, 50845, 53389, 51079, 51743, 50845, 51154, 50845, 51201, 50845, 51361, 51306, 51476, 51166, 51061, 51803, 51023, 50905, 51092, 50905, 51425, 52462, 51223, 52462, 56321, 51258, 50945, 50862, 51425, 50874, 51223, 64042, 51638, 51047, 50437, 52133, 50863, 51615, 50845, 67298, 51898, 50863, 51485, 66744, 53664, 50863, 53200, 51079, 52817, 50845, 51881, 51079, 51182, 50845, 51723, 51965, 52888, 58059, 51916, 50863, 51096, 50839, 51096, 51472, 55285, 51314, 51410, 51166, 51414, 50891, 51303, 51333, 51414, 51333, 51193, 51148, 51185, 51148, 51436, 50835, 51425, 51832, 51436, 51832, 50439, 52888, 52598, 53686, 52598, 55566, 51397, 50443, 53200, 51254, 52756, 50866, 51881, 51254, 51743, 50866, 51154, 50866, 51201, 50866, 51180, 51306, 51410, 52025, 51436, 51269, 51262, 51269, 60350, 51258, 51436, 50829, 51262, 52802, 53200, 51852, 52756, 51203, 51881, 51254, 51743, 50866, 51154, 50866, 51201, 51203, 51086, 64429, 51044, 50837, 51303, 51333, 51414, 51333, 50453, 51436, 51258, 51262, 51258, 50455, 53181, 51079, 51881, 51101, 51251, 62034, 51723, 51079, 51485, 56015, 50870, 51410, 51387, 50459, 54942, 50912, 53200, 50810, 51107, 61145, 54720, 51142, 52133, 50845, 51299, 50845, 52888, 51210, 53686, 51490, 54992, 51047, 50799, 55663, 51142, 53664, 50878, 51093, 50878, 51887, 51452, 52334, 51142, 51431, 51115, 61670, 50863, 73834, 55285, 50851, 51410, 50851, 51303, 51108, 51414, 50851, 51061, 51115, 51193, 50810, 51185, 56624, 54580, 50863, 54580, 52263, 52756, 51397, 53389, 50941, 51201, 51397, 51898, 51961, 52945, 50870, 52689, 52598, 50945, 50983, 56698, 51449, 51476, 50851, 51327, 50837, 51249, 51645, 51092, 50820, 51092, 51134, 51023, 51134, 50419, 53389, 51965, 51743, 51115, 51154, 51115, 51039, 51306, 51476, 51466, 51425, 50844, 51223, 55266, 51425, 51832, 51223, 51832, 51768, 51044, 50837, 51303, 51333, 51249, 51333, 51425, 51269, 51223, 51269, 50429, 51425, 50870, 51223, 53575, 52334, 51079, 51723, 52839, 51306, 51476, 51466, 51061, 51803, 51023, 51803, 51092, 51803, 51425, 52462, 51223, 52462, 56321, 51258, 65588, 51425, 50874, 51223, 67560, 52334, 51447, 51898, 51047, 51658, 52223, 50870, 50945, 51291, 51303, 51466, 51249, 51466, 51425, 51832, 51223, 51832, 50443, 53389, 51079, 52033, 51101, 51301, 72438, 54580, 50941, 53719, 50813, 51266, 51559, 51306, 51476, 52397, 51223, 51269, 51262, 51269, 50447, 51223, 50829, 51262, 56918, 53389, 51079, 51743, 50845, 51154, 53562, 54580, 51254, 52756, 50866, 51201, 51665, 50303, 64429, 51044, 50837, 51303, 51333, 51249, 51333, 50453, 51223, 51258, 51262, 51258, 50455, 52756 ]
[ 0, 250, 8787, 5175, 8, 3495, 15229, 14, 7630, 6568, 6453, 9, 11098, 6, 10563, 6, 8, 5, 2317, 4780, 149, 63, 15352, 30054, 2017, 2485, 6, 3744, 30, 10, 5544, 12547, 217, 13305, 6, 18558, 6, 13602, 6757, 6, 21979, 8669, 6, 8, 20535, 483, 6, 70, 150, 6780, 10, 7212, 20889, 11, 204, 73, 306, 86, 8, 24826, 198, 5, 762, 9, 274, 538, 6, 19, 5, 40286, 230, 8, 274, 2754, 25, 5, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 76501, 52037, 51016, 50799, 52792, 50896, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 71832, 52792, 52877, 52792, 75044, 52290, 57241, 52037, 50923, 50799, 53755, 50911, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 53435, 50799, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 74905, 52037, 57078, 52792, 56087, 52792, 58395, 52792, 61618, 52290, 54952, 52037, 59727, 52037, 57308, 52037, 50882, 50799, 53755, 50923, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 52311, 50456, 52037, 50802, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 60247, 52792, 63982, 52792, 61860, 52290, 52325, 52037, 50923, 50799, 53755, 50923, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 51407, 50450, 52037, 52325, 52037, 50802, 50799, 52792, 51237, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 52030, 52290, 56827, 52290, 57241, 52037, 51012, 50799, 53755, 50923, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 52311, 50450, 52037, 52325, 52037, 51012, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 57067, 52290, 52125, 52792, 54145, 52290, 57241, 52037, 51012, 50799, 53755, 51012, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 51407, 50456, 52037, 50923, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 57067, 52290, 58395, 52792, 54145, 52290, 52325, 52037, 50802, 50799, 53755, 50802, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 68174, 52037, 50802, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 52030, 52290, 63982, 52792, 54145, 52290, 60345, 52037, 50911, 50799, 53755, 50802, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 51029, 50453, 52037, 52163, 52037, 52937, 52037, 50894, 50799, 52792, 51012, 55699, 51445, 52123, 51353, 51555, 51151, 51902, 69097, 52290, 52247, 51612, 51407, 50456, 51612, 50802, 50799, 52037, 51009, 54099, 51151, 52123, 51353, 51783, 51353, 51722, 52379, 50447, 52037, 55230, 53755, 53532, 53755, 54934, 53755, 50950, 51057, 57330, 51148, 52679, 51103, 51783, 51183, 51584, 51009, 52792, 51009, 51164, 51283, 75714, 50872, 51318, 50850, 51295, 50909, 51318, 50432, 72493, 50848, 55029, 50833, 60799, 51007, 56529, 51164, 50827, 61377, 56684, 59416, 60428, 59008, 50932, 65131, 50847, 77426, 50909, 58326, 51164, 51363, 72805, 50872, 51255, 67265, 50909, 51255, 50435, 51164, 50844, 50885, 50833, 56684, 58126, 50909, 54181, 51164, 57245, 55196, 54879, 57750, 55200, 51164, 63508, 57045, 54954, 57750, 53562, 51164, 50827, 59398, 56206, 58126, 50909, 58305, 51164, 50874, 50885, 55414, 60303, 57638, 52863, 51164, 50912, 50885, 59643, 50854, 58126, 50909, 57651, 51164, 50827, 56740, 50872, 50810, 58126, 60428, 59008, 67881, 56659, 54558, 50311, 58338, 63650, 55099, 51164, 66015, 54558, 50306, 56713, 60023, 68592, 55035, 52665, 51054, 51164, 51203, 50988, 52460, 50848, 51412, 71576, 50939, 51255, 51007, 51124, 50435, 51164, 50810, 55315, 50847, 57424, 50854, 51007, 54181, 51996, 51054, 51164, 59925, 69800, 63373, 66362, 55200, 50885, 52911, 50848, 55230, 52601, 64061, 59978, 51923, 51164, 56729, 56204, 55792, 59092, 50901, 50799, 51836, 52017, 51164, 50914, 72918, 60154, 77644, 50909, 58326, 51164, 51363, 50885, 51116, 50872, 51255, 50850, 51255, 50909, 51363, 50435, 72493, 50885, 62764, 50810, 59416, 50909, 53614, 51164, 57245, 54667, 56342, 58649, 55200, 51164, 57245, 58541, 56011, 57750, 54058, 51164, 73945, 59643, 50854, 50850, 57638, 56366, 51164, 57708, 55414, 50874, 55119, 50909, 54424, 51164, 57708, 76582, 50810, 58126, 50909, 56569, 51164, 50874, 56740, 56992, 58126, 77655, 59008, 57053, 57076, 60023, 63650, 55689, 51164, 57046, 56204, 60014, 63650, 53172, 51164, 51412, 74223, 50872, 51221, 50939, 51116, 51007, 51221, 50435, 72493, 50848, 62764, 59183, 50808, 51007, 52729, 51836, 75009, 59925, 57076, 58338, 65520, 55200, 52032, 51972, 50297, 57053, 58541, 60014, 63650, 55125, 51996, 66594, 56328, 50848, 54712, 51946, 61604, 50808, 50850, 69731, 53848, 50872, 56709, 69731, 50800, 50799, 51946, 51054, 51164, 50932, 65131, 50847, 77426, 50909, 58326, 52196, 52369, 51164, 51363, 72805, 50872, 51255, 67265, 50909, 51255, 50435, 51164, 50844, 50885, 50833, 56684, 58126, 50909, 54181, 51164, 57245, 55196, 54879, 57750, 55200, 51164, 63508, 57045, 54954, 57750, 53562, 51164, 50827, 59398, 56206, 58126, 50909, 58305, 51164, 50874, 50885, 55414, 60303, 57638, 52863, 51164, 50912, 50885, 59643, 50854, 58126, 50909, 57651, 51164, 50827, 56740, 50872, 50810, 58126, 60428, 59008, 67881, 56659, 54558, 50311, 58338, 63650, 55099, 51164, 66015, 54558, 50306, 56713, 60023, 68592, 55035, 51164, 51203, 50988, 52460, 50848, 51412, 71576, 50939, 51255, 51007, 51124, 50435, 51164, 50810, 55315, 50847, 57424, 50854, 51007, 54181, 51164, 59925, 69800, 63373, 66362, 55200, 50885, 52911, 50848, 55230, 52032, 51054, 50872, 59978, 51923, 51164, 56729, 56204, 55792, 59092, 50901, 50799, 52196, 52369, 51164, 50914, 72918, 60154, 77644, 50909, 58326, 51164, 51363, 50885, 51116, 50872, 51255, 50850, 51255, 50909, 51363, 50435, 72493, 50885, 62764, 50810, 59416, 50909, 53614, 51164, 57245, 54667, 56342, 58649, 55200, 51164, 57245, 58541, 56011, 57750, 54058, 52196, 50894, 51164, 73945, 59643, 50854, 50850, 57638, 56366, 52541, 50821, 51164, 57708, 55414, 50874, 55119, 50909, 54424, 51946, 50803, 51164, 57708, 76582, 50810, 58126, 50909, 56569, 53780, 50894, 51164, 50874, 56740, 56992, 58126, 77655, 50799, 51996, 52208, 51164, 57053, 57076, 60023, 63650, 55689, 51164, 57046, 56204, 60014, 63650, 53172, 51164, 51412, 74223, 50872, 51221, 50939, 51116, 51007, 51221, 50435, 72493, 50848, 62764, 59183, 50808, 51007, 52729, 51164, 59925, 57076, 58338, 65520, 55200, 51164, 57053, 58541, 60014, 63650, 55125, 50885, 56328, 50848, 54712, 52037, 68950, 50808, 50850, 69731, 53848, 50872, 56709, 69731, 50800, 50799, 52792, 73814, 51097, 64804, 60154, 65148, 50909, 55382, 52792, 51834, 50297, 51412, 50885, 51255, 79275, 70685, 50909, 71895, 52290, 52674, 52792, 50993, 51164, 50874, 50885, 56948, 60303, 57638, 52729, 51164, 60925, 54667, 56011, 57750, 55945, 52290, 75009, 57245, 55664, 56342, 57750, 55125, 52290, 50894, 51164, 50827, 61377, 56206, 59416, 50909, 56366, 52037, 50803, 51164, 50907, 56740, 56992, 59416, 50909, 52863, 53755, 51054, 51164, 50984, 61377, 77283, 58126, 50909, 54678, 51164, 50874, 61377, 56684, 50850, 57638, 50810, 59008, 59718, 55808, 60023, 66362, 55689, 51612, 51029, 51164, 57053, 57045, 60014, 65520, 53466, 51164, 51412, 74434, 50872, 51221, 50939, 51124, 51007, 51124, 50435, 51164, 50874, 63245, 56684, 50939, 64909, 52841, 51164, 59925, 57076, 63373, 68592, 55945, 51164, 59925, 57045, 60935, 68592, 55125, 51164, 50851, 63245, 57896, 50939, 64909, 56366, 72493, 61377, 50872, 50810, 59416, 50909, 54424, 51164, 50827, 50885, 55029, 50827, 59416, 50909, 58223, 51164, 50851, 50885, 50812, 56684, 58126, 59178, 59008, 51097, 64804, 60154, 65148, 50909, 57933, 52037, 52801, 52792 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 11, 230, 538, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 8, 20535, 483, 6, 70, 8216, 7, 10, 32076, 8, 8728, 5466, 4, 590, 10, 7212, 20889, 9, 6164, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 230, 6, 274, 6, 230, 6, 8, 272, 406, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50796, 55746, 50931, 51033, 51081, 51045, 50433, 75032, 51081, 54773, 51081, 50894, 51146, 51045, 50445, 51146, 52236, 50326, 53153, 51147, 50882, 51399, 72727, 51147, 52640, 50329, 50930, 58479, 50841, 51062, 52717, 50297, 52783, 51132, 51351, 51164, 52062, 50801, 68417, 50416, 50999, 66089, 51062, 54878, 50999, 65643, 51062, 57240, 50999, 55754, 51062, 58646, 50999, 52641, 50900, 52441, 50871, 51542, 50877, 51283, 50885, 51199, 67907, 50946, 51961, 50850, 51542, 57580, 69118, 51062, 59551, 50999, 58594, 51062, 60741, 50999, 53860, 51062, 56565, 50999, 50825, 51132, 51051, 50801, 52101, 50435, 51062, 62586, 50999, 53980, 51062, 50829, 51027, 52441, 51416, 50995, 73918, 50439, 50999, 55788, 51062, 58655, 50999, 60964, 51062, 60822, 50999, 61334, 51062, 73619, 53838, 50448, 50999, 60062, 51062, 53057, 50877, 51328, 50871, 51233, 50946, 51376, 50885, 68040, 50892, 57580, 73173, 50999, 64125, 51062, 59753, 50999, 64833, 51062, 58901, 50999, 61688, 51062, 54991, 50999, 62495, 51062, 50840, 53997, 52783, 51416, 51627, 51332, 52062, 50801, 68417, 67855, 50983, 50999, 50983, 53523, 52441, 50916, 51542, 50906, 51283, 50885, 51199, 74028, 51037, 51961, 50847, 51542, 57580, 50851, 55481, 52101, 62335, 52441, 51137, 51535, 73918, 50439, 50968, 53275, 50325, 51030, 50446, 69915, 51147, 50952, 50900, 53838, 50450, 50968, 54828, 51328, 50916, 51233, 51037, 51376, 50885, 64111, 50892, 57580, 73173, 50951, 51158, 50461, 50876, 50807, 56229, 51013, 51132, 51627, 51164, 51714, 50801, 68417, 50415, 51050, 53142, 63686, 53096, 50426, 50999, 77535, 51286, 50877, 52136, 50871, 51318, 50885, 51961, 50946, 51542, 50872, 51391, 57580, 67592, 50999, 51048, 51062, 51013, 69374, 79198, 52101, 63809, 51477, 51416, 51535, 73918, 50445, 51147, 51588, 50327, 50937, 68121, 53726, 56415, 60268, 65300, 79971, 60798, 51000, 50946, 51210, 61395, 57580, 64479, 50900, 51210, 58479, 51919, 50297, 51243, 51132, 51264, 51164, 51469, 50801, 68417, 50415, 50931, 57327, 51007, 51012, 50427, 50939, 51505, 50438, 51007, 51388, 50439, 50939, 51354, 50446, 50909, 50980, 50447, 50850, 77002, 50872, 61050, 50879, 54197, 51749, 51132, 51627, 50885, 51167, 51164, 52062, 50801, 68417, 50415, 51050, 51189, 50872, 51192, 50422, 58966, 50868, 51631, 50900, 53674, 50877, 51637, 50871, 51283, 50885, 51199, 67907, 50946, 51961, 50850, 51542, 50850, 52017, 50872, 55362, 57580, 67592, 51050, 51006, 55481, 52101, 62275, 51417, 51027, 51749, 51416, 51535, 73918, 68121, 51490, 56415, 51448, 50946, 51376, 50885, 68040, 50892, 57580, 64126, 51120, 69941, 50877, 50981, 54197, 51115, 51050, 52407, 51132, 51244, 51164, 51680, 50801, 68417, 53523, 53674, 50871, 51283, 50877, 51283, 50946, 51481, 50885, 51806, 57580, 63163, 51050, 50866, 50872, 52423, 52101, 50436, 58817, 58126, 50437, 50847, 59495, 53415, 51027, 51477, 51085, 51417, 51416, 51351, 73918, 50439, 50885, 51110, 50872, 51167, 68121, 56374, 51164, 64043, 50872, 51215, 50850, 51167, 56415, 51312, 50877, 52056, 50946, 51328, 79067, 57580, 75635, 50850, 51215, 50909, 51167, 50457, 51050, 50987, 55435, 51218, 51526, 51145, 52021, 51714, 50872, 55362, 50939, 55362, 50801, 68417, 50415, 51234, 53142, 63715, 53096, 60564, 52136, 50871, 51318, 50848, 51961, 51037, 51542, 50872, 51391, 57580, 67592, 50997, 71648, 50899, 79198, 52101, 62335, 51477, 51050, 51417, 51132, 51742, 73918, 64118, 53726, 65851, 51283, 79609, 50848, 51000, 51037, 51210, 61395, 57580, 64126, 51026, 70634, 50899, 51884, 55435, 51115, 51234, 52062, 51526, 51244, 52021, 52168, 50801, 68417, 50423, 50899, 52482, 53645, 51477, 50906, 54557, 50848, 55197, 51037, 51199, 72080, 57580, 67592, 50997, 71648, 70138, 50872, 59183, 57567, 52101, 50435, 66603, 50436, 50909, 56983, 50997, 51961, 51050, 51218, 51132, 51043, 50939, 51191, 51007, 51191, 73918, 64118, 54211, 51132, 50912, 52021, 51210, 56415, 60006, 51466, 51526, 51212, 66397, 51037, 68040, 50838, 57580, 65126, 60799, 50455, 50909, 54583, 50939, 67276, 51111, 50457, 50997, 50987, 54197, 51295, 51132, 51627, 51164, 51714, 50850, 54089, 50801, 68417, 50415, 51050, 53142, 50909, 56073, 63686, 53096, 56207, 52136, 50871, 51318, 50885, 51961, 50946, 51542, 50872, 51391, 57580, 67592, 51050, 50974, 69374, 79198, 52101, 63809, 51477, 51085, 51397, 51416, 51535, 73918, 68121, 53726, 60027, 51283, 79609, 50885, 51000, 50946, 51210, 61395, 57580, 64126, 51120, 73752, 50900, 51884, 54197, 51115, 51050, 52062, 51132, 51244, 51164, 52168, 50801, 68417, 78523, 52482, 53645, 51477, 50877, 54557, 50885, 55197, 50946, 51199, 72080, 57580, 67592, 51050, 50977, 69374, 51524, 50872, 53097, 52101, 50435, 56894, 50437, 50868, 60957, 51238, 63809, 51961, 51085, 51417, 51416, 51351, 50872, 51238, 73918, 50445, 80142, 68121, 54211, 51164, 51210, 68650, 56415, 58421, 51466, 63062, 50946, 68040, 50838, 57580, 65126, 50872, 51158, 50850, 51215, 50457, 51050, 50987, 53997, 51218, 51085, 51749, 51416, 51627, 51332, 52062, 50868, 52382, 50847, 55362, 50801, 68417, 53523, 53674, 50861, 51965, 50916, 51283, 50906, 51637, 50885, 51199, 74028, 51037, 51961, 50847, 51542, 57580, 67592, 51085, 50905, 55481, 52101, 62322, 51218, 50997, 51749, 51137, 51535, 73918, 68121, 52256, 59758, 50981, 51037, 51376, 50885, 64111, 50892, 57580, 64126, 51026, 70529, 68929, 71039, 50461, 51085, 51562, 53997, 51353, 51416, 51264, 51332, 73840, 68417, 50423, 50872, 62115, 50847, 62046, 50939, 52524, 50909, 63915, 51124, 50427, 51007, 69705, 50939, 51238, 51007, 51238, 50446, 70794, 50909, 67523, 50872, 51158, 68973, 54197, 51749, 51132, 51749, 51164, 51714, 50801, 68417, 50415, 51050, 51218, 50885, 50967, 50872, 51215, 50422, 72803, 57988, 53523, 53674, 50877, 51637, 50871, 51283, 50885, 51961, 50946, 51542, 50872, 51391, 50872, 51469, 50850, 51469, 57580, 67592, 51050, 50987, 55481, 52101, 62275, 51413, 51027, 51749, 51338, 51448, 73918, 68121, 52256, 56415, 50981, 50885, 51000, 50946, 51210, 61395, 57580, 64126, 51120, 51058, 50458, 67692, 54197, 51295, 51050, 51749, 51132, 51627, 51164, 61774, 68417, 53523, 53126, 50309, 59219, 51108, 77456, 50885, 51330, 68100, 57580, 67592, 51050, 51058, 50434, 72230, 53530, 52101, 50435, 50868, 66144, 56894, 50437, 50848, 61074, 51345, 62275, 51562, 51050, 51703, 51132, 51627, 71531, 51164, 51183, 73918, 50446, 50946, 52059, 74229, 67265, 55895, 52845, 50307, 66920, 50932, 59654, 75419, 57580, 75635, 68973, 50909, 51215, 50457, 51050, 70634, 50946, 51210, 74571, 77938, 55435, 51115, 51234, 51749, 51526, 51145, 52021, 52015, 50872, 53898, 50939, 55362, 50801, 68417, 53337, 53674, 50906, 51637, 50871, 51283, 76984, 69011, 60942, 57580, 67592, 50997, 71648, 51037, 51481, 50848, 51481, 50872, 51337, 50801, 52101, 63451, 51397, 50997, 51749, 51132, 51742, 73918, 64118, 51490, 52021, 52059, 56415, 51448, 51037, 51753, 78430, 50872, 51233, 57580, 64126, 51026, 78442, 50906, 50981, 55435, 51115, 51234, 52407, 51526, 51244, 52021, 52783, 50801, 68417, 53337, 53674, 50871, 51283, 50906, 51283, 69091, 58816, 60942, 57580, 67592, 50997, 51058, 50434, 50872, 77354, 51470, 64730, 50872, 59621, 52101, 50435, 62199, 50436, 60001, 50909, 56057, 50997, 51477, 51050, 51417, 51132, 51043, 50939, 51091, 51007, 51091, 73918, 64118, 56374, 51132, 50912, 52021 ]
[ 0, 713, 14899, 3495, 2214, 6, 30291, 19, 3152, 4785, 6, 22750, 1626, 11098, 8, 12298, 9450, 6, 442, 24, 41, 5631, 2031, 13, 2365, 50, 33558, 9629, 4, 25837, 2987, 30, 10, 11739, 9, 30587, 6, 2382, 3459, 6, 8, 21979, 29589, 6, 552, 19, 21979, 9590, 8, 21072, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2125, 16, 24028, 30, 5, 16331, 33215, 16739, 9, 230, 8, 1918, 6, 6946, 24, 10, 1472, 9, 30234, 8, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 53028, 75011, 80022, 50818, 52320, 57319, 52047, 52062, 51616, 52335, 50461, 51282, 52335, 53202, 51541, 51061, 52335, 51118, 52062, 51332, 51108, 51164, 51097, 50946, 50932, 50682, 50297, 51445, 50682, 50301, 51151, 58788, 51445, 77096, 51445, 74420, 51151, 50744, 50328, 51445, 52924, 51920, 63465, 55614, 50885, 51283, 50872, 51477, 51039, 53584, 52870, 51332, 50932, 51164, 50932, 50946, 56858, 51139, 52893, 52953, 51140, 55792, 56203, 52572, 51406, 53584, 56748, 50872, 51637, 50885, 54498, 51140, 50896, 51332, 50932, 51164, 50932, 52924, 51920, 57270, 50946, 53624, 78110, 75275, 57460, 50946, 51006, 50885, 52985, 51140, 51090, 50946, 51481, 51332, 55284, 51139, 52893, 57399, 51164, 63508, 51775, 67907, 50850, 57131, 75275, 58544, 68059, 50460, 51763, 52062, 50461, 51083, 52140, 51282, 52335, 54079, 51541, 51061, 52140, 50946, 51283, 50682, 50301, 51359, 61007, 51151, 74420, 51359, 50744, 50337, 51151, 52924, 51920, 56260, 51023, 52140, 74868, 50872, 50838, 51039, 53584, 61266, 50872, 51199, 50850, 68428, 51171, 51080, 59425, 52893, 56670, 50848, 55544, 51273, 54954, 51199, 50798, 52572, 51406, 53584, 56748, 67907, 50946, 50932, 50848, 54498, 51273, 50896, 51688, 51080, 52924, 51920, 53041, 69590, 75275, 60372, 50848, 56144, 67305, 57299, 51273, 50896, 51171, 51108, 50946, 56858, 51139, 52893, 57399, 50848, 58736, 51283, 50456, 74366, 75275, 59933, 52047, 52335, 50461, 51282, 52140, 51616, 52335, 53202, 51226, 51118, 52140, 50682, 50297, 51445, 50682, 50301, 51445, 58788, 51445, 77096, 51445, 74420, 51445, 50744, 50328, 51445, 52924, 51920, 56260, 51023, 52140, 51061, 52140, 51164, 51477, 50946, 51283, 50416, 50909, 77946, 50850, 51108, 75275, 61266, 67907, 77043, 74121, 52893, 53063, 51140, 54954, 51709, 50798, 52572, 51406, 53584, 56748, 50872, 51283, 50946, 51283, 50885, 51283, 51164, 51381, 60116, 50896, 52924, 51920, 53041, 69590, 75275, 52725, 51140, 50896, 51164, 57791, 51139, 52893, 56688, 50946, 60925, 51645, 50872, 51283, 50456, 75275, 59036, 51763, 51449, 56555, 50460, 51282, 52335, 50461, 51083, 52062, 54079, 51573, 51061, 52140, 50946, 51283, 50682, 50301, 51151, 61007, 51151, 74420, 51151, 50744, 50337, 51151, 52924, 51920, 56813, 51023, 52140, 75548, 51039, 53584, 57404, 69590, 50872, 57104, 78430, 59425, 52893, 55477, 50872, 53052, 51273, 55792, 56203, 52572, 51406, 53584, 58685, 50872, 51283, 50946, 52168, 50848, 60934, 51273, 51016, 52924, 51920, 52616, 50850, 50972, 51441, 52388, 53237, 53068, 51273, 64061, 51283, 59425, 64032, 52893, 55223, 58132, 50456, 77193, 51441, 51985, 51920, 58660, 51616, 52335, 52047, 52062, 53202, 51541, 51282, 52335, 52924, 51920, 56075, 51061, 51592, 51118, 52140, 51164, 51283, 50946, 51199, 50416, 51023, 51592, 51039, 53584, 57404, 50872, 51199, 65999, 59812, 57791, 51139, 52893, 56680, 50946, 53052, 51140, 55792, 51199, 50872, 51637, 50798, 52572, 51406, 53584, 56748, 50885, 51283, 51164, 51244, 50946, 51477, 60116, 51196, 52924, 51920, 53044, 50850, 50838, 75275, 52725, 50946, 63508, 51775, 59425, 52893, 57399, 50872, 51199, 50456, 75275, 50829, 54079, 51226, 51023, 52140, 51083, 52140, 51061, 52140, 51282, 52335, 51763, 52335, 50946, 50932, 74868, 52924, 51920, 55376, 50872, 51283, 51039, 53584, 57404, 74366, 62810, 51481, 78430, 59425, 52893, 57334, 52341, 51736, 51273, 53834, 52572, 51406, 53584, 59076, 51622, 56678, 51380, 50872, 51637, 50848, 51283, 50946, 51542, 68005, 51196, 52924, 51920, 55698, 51634, 55322, 74366, 75275, 57028, 51288, 55178, 51211, 51173, 50946, 56858, 51139, 52893, 57136, 58661, 50872, 51283, 50456, 77193, 75275, 58544, 51288, 51696, 52047, 52062, 50458, 51282, 52335, 51616, 52335, 50460, 51118, 52335, 53202, 51541, 51023, 52140, 51061, 52335, 52924, 51920, 55376, 51164, 51939, 50946, 51592, 50885, 50838, 51039, 53584, 59043, 67907, 50885, 50838, 74121, 52893, 56344, 50885, 53052, 51140, 51654, 52572, 51406, 53584, 59076, 50872, 51592, 50850, 51576, 75641, 60116, 51196, 52924, 51920, 53162, 69590, 50885, 50974, 75275, 53083, 50946, 51277, 51164, 59847, 51484, 59425, 52893, 52579, 74366, 75275, 50841, 54079, 51226, 51023, 51592, 51083, 52335, 51061, 52335, 51282, 52335, 51763, 51449, 50946, 51108, 74868, 52924, 51920, 53403, 50850, 51108, 75275, 57404, 50872, 60184, 51634, 66341, 51277, 50848, 55284, 51139, 52893, 52925, 51288, 50849, 51273, 55732, 52572, 51406, 53584, 56748, 74366, 50872, 51283, 50848, 51283, 50946, 51381, 50434, 51171, 52015, 68005, 50896, 52924, 51920, 58159, 51211, 52692, 51344, 55792, 50932, 75275, 52725, 51273, 51054, 50946, 50932, 50872, 51283, 59425, 52893, 57143, 51219, 56747, 59781, 75275, 57620, 51344, 52382, 52874, 52382, 80134, 50458, 51616, 52062, 52047, 52335, 50460, 51282, 52062, 50461, 51118, 51449, 53202, 51059, 51061, 52335, 52924, 51920, 57666, 51023, 52168, 50946, 50932, 51164, 51283, 50885, 50838, 51039, 53584, 57404, 74366, 64060, 50872, 51199, 74121, 52893, 56670, 50946, 63508, 55544, 51140, 53834, 52572, 51406, 53584, 56802, 74366, 66181, 50885, 51199, 50434, 50946, 51381, 51164, 62551, 50872, 51381, 60116, 51552, 52924, 51920, 53162, 69590, 50885, 50838, 75275, 52725, 50946, 63508, 51199, 59425, 52893, 56688, 51164, 57131, 74366, 75275, 58965, 67907, 54079, 51573, 51023, 52140, 51061, 52062, 51083, 52062, 51282, 52335, 51763, 51449, 52924, 51920, 57666, 51171, 51939, 50848, 51199, 50946, 51380, 50420, 74366, 75275, 58592, 50872, 54869, 50946, 51277, 78430, 59425, 52893, 53063, 51273, 53834, 52572, 51406, 53584, 59076, 74435, 67907, 50848, 51199, 50946, 64025, 51273, 51090, 52924, 51920, 53041, 74366, 75275, 57460, 50848, 58736, 68832, 51273, 57623, 51139, 52893, 57136, 51171, 50932, 50946, 51006, 50848, 57131, 50868, 50838, 75275, 58544, 64060, 50461, 51557, 51381, 51616, 51679, 50799, 51348, 51343, 52157, 51573, 51061, 51108, 51083, 51108, 50872, 51481, 51037, 51108, 52924, 51920, 57666, 51193, 51108, 51171, 50827, 50848, 50838, 51039, 53584, 59043, 50939, 51199, 74868, 50872, 54869, 51037, 51080, 59425, 52893, 52925, 51075, 51742, 52157, 50849, 51557, 50972, 51083, 50972, 51061, 51481, 51193, 51481, 50798, 52572, 51406, 53584, 57107, 51616, 51174, 50939, 51199, 50872, 51199, 50848, 59612, 52157, 51551, 51616, 51637, 52924, 51920, 57927, 51557, 51679, 51061, 51679, 51193, 51381, 51083, 51637, 50444, 50939, 51199, 75275, 60372, 67907, 50848, 50838, 51382, 51139, 52893, 57136, 51037, 59925, 59781, 75275, 59036, 50868, 51199, 50799, 51143, 53073, 51461, 51226, 52924, 51920, 55376, 51020, 51108, 51401, 51108, 51118, 51108, 51092, 51108, 51089, 51679, 51332, 51097, 51217, 51637, 50988, 54177, 50909, 51328, 75275, 58592, 50847, 63508, 50932, 68758, 74121, 52893, 53063, 51461, 50849, 51092, 51481, 50798, 52572, 51406, 53584, 56802, 51219, 53520, 51118, 50838, 51089, 50972, 51020, 51481, 51401, 51080, 50909, 51380, 50847, 51199, 75641, 50988, 51380, 50434, 51217, 51637, 50438, 51461, 51551, 52924, 51920, 57927, 51118, 51637, 51089, 51637, 51020, 51637, 50440, 51092, 51637, 50444, 80040, 75275, 57740, 72975, 50988, 51006, 50885, 59124, 51211, 54454, 50988, 51328, 59425, 52893, 56688, 51217, 51080, 50456, 50909, 51283, 75275, 58965, 50847, 51199, 50885, 51199, 50988, 51199, 50799, 51634, 51696, 51461, 51226, 52924 ]
[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 7212, 20889, 6, 4246, 3459, 8, 21979, 29589, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 18558, 10, 25118, 6, 2351, 10, 15352, 30054, 8, 5679, 26709, 5466, 19, 10, 11602, 9, 15073, 6, 10686, 13, 822, 2369, 36546, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 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 ]	[ 57448, 50791, 77181, 50800, 53028, 70829, 77181, 73449, 50800, 71755, 52017, 50939, 52017, 51917, 51469, 51547, 51469, 51640, 51655, 50798, 58315, 51506, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 51125, 52017, 50420, 52238, 53241, 62870, 52017, 50979, 52017, 51547, 52017, 51674, 52017, 51533, 72163, 58315, 51751, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 50939, 57487, 51125, 53241, 50423, 50939, 53241, 50426, 51298, 52266, 75158, 51496, 51396, 51551, 51602, 74903, 53066, 51017, 51496, 50992, 51496, 51547, 56346, 50944, 51090, 51298, 51090, 51547, 51496, 50432, 51396, 56810, 51037, 51551, 51037, 51551, 51526, 67777, 53103, 51017, 51496, 50992, 51496, 51547, 56160, 50944, 51090, 51257, 51090, 51547, 63962, 51037, 50911, 51526, 50879, 62870, 50882, 51042, 65326, 51496, 51910, 67774, 56624, 51042, 52017, 50420, 51017, 53241, 51547, 78443, 51042, 52266, 50935, 52266, 51910, 53150, 51840, 50961, 50944, 52266, 51640, 54729, 50935, 52282, 51125, 52282, 51840, 52282, 54696, 52282, 51547, 52282, 51857, 51896, 71755, 52017, 50939, 52017, 52812, 51036, 51917, 51036, 51547, 51036, 51640, 51655, 50798, 58315, 51506, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 51125, 52017, 50420, 52238, 53241, 50426, 63533, 51653, 50435, 68306, 51745, 62870, 52017, 50979, 52017, 52000, 51036, 51772, 51036, 51547, 51036, 51533, 72163, 58315, 51751, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 50939, 57487, 51125, 53241, 50423, 50939, 53241, 50426, 51298, 52266, 50429, 50720, 50305, 56896, 59017, 64917, 59017, 57174, 59017, 62894, 59017, 61723, 63533, 56505, 59017, 60345, 74488, 51237, 75158, 51496, 51396, 51551, 51602, 67777, 53066, 51017, 51496, 50992, 51496, 51547, 56346, 50944, 51090, 51298, 51090, 51547, 74752, 51628, 51396, 50911, 51602, 55122, 51037, 51551, 51037, 51551, 51526, 67777, 53103, 51017, 51496, 50992, 51496, 51547, 50911, 71330, 50944, 51090, 51257, 51090, 51547, 57191, 51754, 51037, 50911, 51526, 50879, 62870, 50882, 51042, 52266, 51910, 67774, 56624, 51042, 52017, 50420, 51017, 53241, 51547, 57625, 51840, 50961, 51910, 53150, 50944, 52266, 51547, 50911, 51640, 53417, 52765, 51840, 54562, 50935, 52282, 51125, 52282, 51840, 52282, 54696, 52282, 51547, 52282, 51857, 51896, 71755, 52017, 50939, 52017, 51547, 53241, 51408, 52017, 51640, 51655, 50798, 58315, 51506, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 51125, 52017, 50420, 52238, 53241, 50423, 50720, 50305, 56519, 63533, 51653, 50435, 68306, 51745, 52320, 50800, 62870, 52017, 50979, 52017, 51674, 52017, 51533, 72163, 58315, 51751, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 50939, 57487, 51125, 53241, 50423, 50939, 53241, 50426, 51298, 52266, 50429, 50720, 50305, 56896, 59017, 63982, 59017, 62894, 59017, 68280, 63533, 66250, 68306, 51745, 75158, 51496, 51396, 51551, 51547, 51551, 51602, 67777, 53066, 51017, 51496, 50992, 51496, 50426, 50944, 51090, 51298, 57191, 51628, 51396, 50911, 74488, 51745, 51602, 55122, 51037, 51551, 51037, 51551, 51256, 51551, 51526, 67777, 53103, 51017, 51496, 50992, 51496, 71330, 50944, 51090, 51257, 57191, 51754, 51037, 50911, 51526, 50879, 62870, 50882, 51042, 65326, 51496, 51772, 52017, 51910, 67774, 56624, 51042, 52017, 50420, 51017, 53241, 50423, 51042, 52266, 50935, 52266, 51910, 53150, 51840, 50961, 50944, 50911, 51640, 53417, 51628, 50935, 52282, 51125, 52282, 51840, 52282, 54696, 52282, 51857, 61025, 50810, 51570, 66027, 52513, 54457, 54988, 51957, 52965, 50564, 66250, 51533, 54403, 51640, 54065, 52567, 51848, 60091, 51848, 50812, 70128, 51427, 51396, 51427, 51042, 51427, 51042, 51427, 51017, 51427, 50979, 51427, 50944, 51427, 50944, 51427, 50935, 51427, 51912, 51427, 51772, 51427, 51547, 51427, 51590, 51427, 51602, 51427, 63669, 51835, 68306, 52516, 52296, 51037, 50961, 51017, 50961, 50944, 72148, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51408, 50961, 68306, 50950, 51910, 53235, 56519, 68306, 51012, 51602, 52965, 50564, 52516, 52765, 51533, 53917, 51506, 51427, 51037, 51427, 51037, 51427, 51017, 51427, 51017, 51427, 50944, 51427, 50944, 51427, 50939, 51427, 52000, 51427, 51917, 51427, 51547, 51427, 51408, 51427, 68306, 50950, 51640, 51427, 63669, 52262, 74488, 57174, 59017, 53960, 52831, 51037, 50961, 51017, 50961, 50944, 72148, 50961, 51506, 71092, 71530, 69542, 50882, 52000, 50961, 51917, 50961, 51547, 50961, 51408, 50961, 52458, 56646, 74488, 52516, 52513, 51506, 71092, 71092, 71530, 71530, 69542, 69542, 71035, 50882, 52000, 50882, 51917, 50882, 51547, 50882, 51408, 50882, 59017, 51012, 51640, 53235, 56505, 51506, 50882, 51396, 50882, 51042, 50882, 51042, 71530, 72630, 69542, 69542, 72629, 50882, 52000, 50882, 51917, 50882, 51547, 50882, 51590, 50882, 52458, 52965, 50564, 52516, 52809, 51506, 71092, 71092, 71530, 71530, 69542, 69542, 71035, 50882, 52000, 50882, 51917, 50882, 51547, 50882, 51408, 50882, 74488, 51653, 52458, 50911, 51453, 52567, 51037, 50839, 51017, 76061, 66848, 50839, 52000, 50825, 51917, 50825, 51547, 50825, 51408, 51833, 50800, 70128, 51427, 51396, 51427, 51042, 51427, 51042, 51427, 51017, 51427, 50979, 51427, 50944, 51427, 50944, 51427, 50935, 51427, 51912, 51427, 51772, 51427, 51547, 51427, 51590, 51427, 51602, 51427, 63669, 51835, 74488, 52516, 52296, 50979, 50961, 50944, 50961, 50935, 79389, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51590, 50961, 52031, 50961, 74488, 50950, 51910, 53235, 56519, 74488, 51012, 51602, 52965, 50564, 52516, 52765, 51533, 53917, 51506, 51427, 51037, 51427, 51037, 51427, 51017, 51427, 51017, 51427, 50944, 51427, 50944, 51427, 50939, 51427, 52000, 51427, 51917, 51427, 51547, 51427, 51408, 51427, 74488, 50950, 51640, 51427, 63669, 52262, 74488, 57174, 59017, 53960, 52831, 51042, 50961, 50979, 50961, 50944, 50961, 50935, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51590, 50961, 52458, 56646, 65049, 52516, 52513, 51506, 71092, 50882, 51042, 71530, 72630, 69542, 69542, 72629, 50882, 51912, 50882, 51772, 50882, 51547, 50882, 51590, 50882, 65049, 51237, 51640, 53235, 56505, 51506, 50882, 51396, 50882, 51042, 50882, 51042, 71530, 72630, 69542, 69542, 72629, 50882, 51912, 50882, 51772, 50882, 51547, 50882, 51590, 50882, 52458, 52965, 50564, 52516, 52809, 51506, 71092, 71530, 72630, 69542, 69542, 72629, 50882, 51298, 50882, 51772, 50882, 51547, 50882, 51590, 50882, 52031, 50882, 52458, 54403, 51640, 54065, 52567, 51042, 50839, 50979, 76061, 69010, 50839, 51912, 50825, 51772, 50825, 51547, 50825, 51590, 51833, 50800, 70128, 51427, 51396, 51427, 51042, 51427, 51042, 51427, 51017, 51427, 50979, 51427, 50944, 51427, 50944, 51427, 50935, 51427, 51912, 51427, 51772, 51427, 51547, 51427, 51590, 51427, 51602, 51427, 63669, 51835, 68306, 51392, 52296, 50979, 50961, 50944, 50961, 50935, 79389, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51408, 50961, 68306, 51653, 51910, 53235, 56519, 51602, 52965, 50564, 52516, 52765, 51533, 53917, 51506, 51427, 51037, 51427, 51037, 51427, 51017, 51427, 51017, 51427, 50944, 51427, 50944, 51427, 50939, 51427, 52000, 51427, 51917, 51427, 51547, 51427, 51408, 51427, 63533, 51012, 51640, 51427, 63669 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 3152, 16882, 6, 4246, 41, 3459, 13305, 6, 38668, 11212, 6, 2342, 4467, 6, 81, 9756, 8669, 6, 8, 3459, 9590, 6, 70, 447, 561, 7, 1045, 10, 6711, 14, 18, 10, 11739, 9, 657, 6, 11098, 6, 8, 26545, 6, 19, 10, 11602, 9, 15073, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 6780, 10, 7212, 20889, 9, 8940, 13410, 228, 2289, 6, 5, 2214, 3905, 10, 204, 73, 306, 86, 6543, 8, 22848, 10, 33215, 16739, 9, 3676, 1176, 406, 6, 230, 10431, 119, 406, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50799, 51931, 51544, 50834, 51570, 53057, 51931, 52563, 55530, 59757, 56296, 51194, 50423, 50798, 55800, 56296, 51203, 50953, 51255, 51525, 52572, 59873, 56296, 51203, 50953, 51194, 51450, 55186, 56296, 51194, 50953, 51194, 56953, 55254, 51525, 52572, 57886, 50953, 51255, 56296, 51255, 50799, 56296, 51203, 50953, 58610, 58980, 50953, 51043, 56296, 58610, 55800, 51525, 52572, 54562, 71653, 52646, 53264, 50927, 51043, 52646, 63477, 58781, 60765, 51043, 51011, 58610, 55254, 51525, 52572, 54450, 60765, 51255, 51011, 75751, 50961, 57530, 50798, 59757, 51011, 51203, 60765, 51194, 50423, 50798, 55800, 51011, 51255, 60765, 51203, 51525, 52572, 59873, 51011, 51203, 60765, 51203, 51450, 55186, 51011, 51255, 60765, 51203, 56953, 50961, 51382, 50386, 52852, 53545, 60765, 51203, 51011, 51194, 53534, 51203, 60765, 58610, 58980, 51011, 51194, 60765, 58610, 55800, 51525, 52572, 54562, 50945, 50845, 52657, 54014, 51213, 51203, 52657, 58610, 58781, 51213, 50845, 52657, 61221, 50961, 51382, 50386, 52852, 52349, 50953, 51255, 56296, 70306, 50961, 57530, 50798, 59757, 56296, 51203, 50953, 51203, 50423, 50798, 55800, 50953, 51203, 56296, 51203, 51525, 52572, 59873, 56296, 51255, 50953, 51043, 51450, 55186, 50953, 51203, 56296, 51043, 56953, 55254, 51525, 52572, 57886, 56296, 51203, 50953, 51043, 50799, 56296, 51255, 50953, 75751, 58980, 50953, 51043, 56296, 63477, 55800, 51525, 52572, 54562, 52646, 50845, 50927, 53264, 52646, 51194, 50927, 58610, 58781, 51011, 51255, 60765, 70306, 50961, 51382, 50386, 52852, 52349, 51011, 51255, 60765, 70306, 50961, 51528, 59757, 51011, 51203, 60765, 51203, 50423, 50798, 55800, 60765, 51203, 51011, 73325, 50386, 52852, 53593, 51011, 51203, 60765, 51203, 51450, 55186, 60765, 51203, 51011, 51203, 56953, 50961, 51382, 50386, 52852, 53545, 51011, 51194, 60765, 51043, 57530, 51011, 51203, 60765, 58610, 58980, 60765, 51043, 51011, 58610, 55800, 51525, 52572, 54562, 50945, 50901, 52657, 60592, 51213, 51203, 52657, 51203, 52671, 70811, 58781, 52657, 50901, 51213, 50901, 51596, 53197, 55254, 51525, 52572, 54450, 56296, 51255, 50953, 51203, 52202, 60881, 50961, 51528, 59757, 56296, 51203, 50953, 51203, 50423, 50798, 55800, 56296, 51203, 50953, 56959, 50386, 52852, 52209, 52155, 58952, 50953, 51255, 56296, 51203, 51450, 55186, 56296, 51255, 50953, 51203, 56953, 50961, 51382, 50386, 52852, 53545, 56296, 51194, 50953, 51194, 52563, 51255, 56296, 70306, 58980, 50953, 51043, 56296, 63477, 55800, 51525, 52572, 54562, 52646, 50845, 50927, 53264, 50927, 51194, 52646, 51194, 52202, 70811, 58781, 51011, 51194, 60765, 51194, 51596, 53197, 55254, 51525, 52572, 54450, 51011, 51255, 60765, 51203, 52671, 78706, 50961, 51528, 59757, 51011, 51255, 60765, 51255, 50423, 50798, 55800, 51011, 51255, 60765, 56959, 50386, 52852, 53593, 51011, 51255, 60765, 51043, 51450, 55186, 51011, 51203, 60765, 51203, 56953, 55254, 51525, 52572, 57886, 51011, 51194, 60765, 51043, 57530, 51011, 51203, 60765, 70306, 58980, 60765, 51043, 51011, 63477, 55800, 51525, 52572, 54562, 52657, 61217, 54014, 51213, 51203, 52657, 51043, 52671, 70811, 58781, 52657, 50845, 51213, 50977, 51596, 53197, 55254, 51525, 52572, 54450, 56296, 51255, 50953, 51194, 52202, 63346, 50961, 51528, 59757, 56296, 51203, 50953, 51255, 50423, 50798, 55800, 50953, 50866, 56296, 56959, 50386, 52852, 52209, 50953, 50915, 52155, 54112, 56296, 51043, 51450, 55186, 50953, 51203, 56296, 51203, 56953, 55254, 51525, 52572, 57886, 50953, 51203, 56296, 51203, 52563, 51203, 56296, 58610, 58980, 50953, 51043, 56296, 63477, 55800, 51525, 52572, 54562, 71653, 52646, 61647, 52202, 53415, 50927, 51043, 52646, 51043, 52202, 70811, 58781, 51011, 51255, 60765, 51043, 51596, 70306, 55254, 51525, 52572, 54450, 60765, 51203, 51011, 51194, 52671, 70306, 50961, 57530, 50798, 59757, 51011, 51255, 60765, 51043, 50423, 50798, 55800, 51011, 51255, 60765, 51203, 51525, 52572, 59873, 60765, 51255, 51011, 51203, 51450, 55186, 60765, 51203, 51011, 51194, 56953, 55254, 51525, 52572, 57886, 51011, 51203, 60765, 51043, 50799, 60765, 51255, 51011, 70306, 58980, 60765, 51043, 51011, 58610, 55800, 51525, 52572, 54562, 50945, 50901, 52657, 50845, 52155, 56529, 51816, 51003, 52155, 53415, 52577, 51203, 53359, 51203, 52003, 51203, 51213, 51203, 52657, 51194, 51789, 75751, 58781, 52003, 51255, 51816, 51255, 54282, 51203, 53359, 51255, 52657, 50845, 51213, 50866, 52083, 53197, 55254, 51525, 52572, 54450, 52092, 55428, 53168, 53295, 51816, 55428, 52003, 53295, 56296, 51255, 50953, 51194, 51596, 60881, 50961, 51528, 59757, 56296, 51203, 50953, 51043, 50423, 50798, 55800, 56296, 51203, 50953, 68798, 50386, 52852, 52209, 52427, 52919, 52202, 58952, 50953, 51203, 56296, 51194, 51450, 55186, 56296, 51255, 50953, 51203, 56953, 55254, 51525, 52572, 57886, 56296, 51203, 50953, 51255, 57530, 56296, 51203, 50953, 63477, 58980, 50953, 51043, 56296, 58610, 55800, 51525, 52572, 54562, 71653, 52646, 50866, 52202, 54112, 52202, 53415, 52627, 51255, 52092, 51255, 52003, 51255, 51816, 51203, 52646, 51043, 50927, 51043, 51565, 70811, 58781, 52092, 51203, 52003, 51203, 51816, 51255, 54282, 51203, 60765, 51203, 51011, 51194, 52083, 70306, 50961, 51382, 50386, 52852, 52349, 53359, 52644, 53464, 52644, 51816, 53454, 52577, 52644, 60765, 51255, 51011, 51255, 51789, 70306, 50961, 51528, 59757, 51011, 51255, 60765, 51194, 50423, 50798, 55800, 51011, 51255, 60765, 51255, 51525, 52572, 59873, 60765, 51255, 78455, 51450, 55186, 51011, 51255, 60765, 51043, 56953, 50961, 51382, 50386, 52852, 53545, 51011, 51255, 60765, 51203, 50799, 60765, 51203, 51011, 58610, 58980, 60765, 51043, 51011, 58610, 50961, 51302, 50386, 52852, 52209, 52657, 61217, 50977, 52155, 54112, 51816, 50915, 52155, 54181, 52003, 51203, 58195, 51203, 53464, 51255, 51213, 51255, 52657, 51043, 52671, 75751, 58781, 52003, 51203, 58195, 51255, 52092, 51255, 51816, 51203, 51213, 50845, 52657, 50866, 51596, 53197, 50961, 51382, 50386, 52852, 52349, 52003, 53295, 52092, 53295, 52427, 53295, 53168, 55428, 50953, 51203, 56296, 51043, 52202, 60881, 50961, 57530, 50798, 59757, 50953, 51203, 56296, 51194, 50423, 50798, 55800, 50953, 50901, 56296, 73325, 50386, 52852, 52209, 51816, 52919, 50953, 51003, 52155, 54112, 56296, 51043, 51450, 55186, 56296, 51203, 50953, 51255, 56953, 55254, 51525, 52572, 57886, 56296, 51203, 50953, 51255, 52563, 51255, 56296, 70306, 58980, 50953, 51194, 56296, 58610, 55800, 51525, 52572, 54562, 69694, 52646, 50977, 52155, 54112, 52155, 53415, 52092, 51203, 53795, 51203, 52003, 51203, 51816, 51203, 52646, 51043, 50927, 51043, 52202, 55732, 60032, 52427, 51203, 50447, 51816, 51255, 53795, 51203, 52092, 51255, 52003, 51255, 78455, 60765, 51043, 51596, 70306, 73128, 52427, 72326, 51525, 52572, 54450, 51816, 52644, 53359, 53454, 53464, 52644, 52126, 53454, 60765, 51255, 51011, 51194, 52671, 78706, 50961, 51528, 59757, 60765, 51203, 51011, 51203, 50423, 50798, 55800, 60765, 51203, 51011, 64810, 50386, 52852, 53593, 51011, 51255, 60765, 51043, 51450, 55186, 60765, 51255, 51011, 51255, 56953, 50961, 51382, 50386, 52852, 53545, 51011, 51255, 60765, 51043, 50799, 60765, 51203, 51011, 70306, 58980, 60765, 51194, 51011, 51194, 50430, 78853, 54854, 50945, 50977, 52657, 50866, 50753, 50341, 57004 ]
[ 0, 713, 14899, 5175, 1349, 6, 30291, 19, 3152, 4785, 6, 22750, 1626, 8593, 26358, 8, 10563, 4, 25837, 2987, 30, 10, 20902, 20889, 9, 23272, 163, 5683, 11, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 22848, 5, 11577, 3222, 5785, 9, 3741, 27374, 594, 6, 1076, 560, 31365, 25999, 6, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 33215, 16739, 9, 163, 428, 6, 12608, 6, 230, 119, 6, 8, 2060, 3639, 7, 63, 33928, 8, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 55746, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 51346, 50438, 52200, 51346, 52360, 51346, 54223, 51346, 58374, 74190, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 51346, 71025, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52200, 50938, 51715, 50994, 53049, 52200, 57370, 50844, 55786, 53974, 52185, 50938, 54223, 56022, 53614, 51643, 51346, 53232, 51346, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 57370, 50844, 55786, 54418, 52200, 56022, 50844, 50799, 52200, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52185, 50938, 51715, 50994, 53049, 51643, 51346, 53232, 73504, 50844, 55786, 53974, 54223, 56022, 53614, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 60075, 52938, 54811, 52200, 60075, 53156, 54004, 52200, 50938, 60690, 73504, 50844, 55786, 54418, 51993, 56022, 50844, 71756, 51538, 54941, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 53232, 51446, 59775, 51446, 50804, 50844, 55786, 53974, 53046, 56022, 53614, 53046, 67251, 52938, 50859, 52129, 53156, 54004, 51643, 50938, 53232, 50938, 52286, 50938, 59775, 57370, 50844, 55786, 54418, 51643, 50938, 53232, 50938, 54223, 50938, 59775, 56022, 50844, 50799, 52226, 50938, 53232, 50938, 55655, 50938, 59775, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52226, 50938, 53232, 50938, 55655, 50938, 59775, 50938, 51715, 50994, 53049, 52226, 50938, 53232, 50938, 55655, 50938, 59775, 57370, 50844, 55786, 53974, 52200, 50938, 52661, 50938, 54223, 50938, 58374, 56022, 50844, 51450, 52938, 54811, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 67251, 53156, 50844, 51382, 50844, 55786, 54418, 52135, 56022, 50844, 71756, 50938, 53232, 50938, 60690, 51346, 62027, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52135, 50938, 51715, 50994, 53049, 51643, 57370, 50844, 55786, 53974, 52135, 50938, 54223, 56022, 53614, 51643, 50938, 53232, 50938, 54223, 51346, 62027, 60075, 52938, 54811, 51721, 60075, 53156, 54004, 52185, 57370, 50844, 55786, 54418, 52770, 56022, 50844, 50799, 51831, 50938, 52230, 50938, 54244, 51346, 62031, 52574, 50994, 50859, 53214, 54351, 51652, 51204, 53252, 51204, 60765, 51204, 51715, 50994, 50833, 51302, 50844, 55786, 53974, 54223, 56022, 53614, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 54223, 73504, 50844, 55786, 54418, 52770, 50938, 53252, 50938, 62027, 56022, 50844, 50799, 52185, 51346, 53252, 51346, 60690, 51346, 54540, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 52185, 51346, 53252, 51346, 54540, 73504, 50844, 55786, 53974, 54223, 56022, 53614, 51643, 50938, 53232, 50938, 54223, 67251, 52938, 54811, 51643, 50938, 53232, 60075, 53156, 54004, 51993, 50938, 52360, 50938, 50684, 50312, 57370, 50844, 55786, 54418, 52200, 50938, 54267, 50938, 58374, 56022, 50844, 50799, 52200, 51264, 54267, 51264, 54244, 51346, 58374, 61113, 50833, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 50833, 51302, 50844, 55786, 53974, 54223, 56022, 53614, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 54223, 73504, 50844, 55786, 50859, 51453, 50844, 71756, 50938, 53232, 50938, 60690, 51346, 62027, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52135, 50938, 51715, 50994, 53049, 51643, 57370, 50844, 55786, 53974, 52135, 50938, 54223, 56022, 53614, 51643, 51346, 53232, 51346, 54223, 51346, 62027, 67251, 52938, 50859, 52129, 53156, 54004, 51643, 51346, 53232, 51346, 62027, 73504, 50844, 55786, 50859, 51453, 50844, 50799, 52226, 51204, 52345, 51204, 53737, 51346, 59089, 51204, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 50833, 51302, 50844, 55786, 53974, 51667, 50938, 52760, 50938, 52733, 50938, 60765, 56022, 53614, 51667, 51346, 52760, 51346, 52733, 51346, 60765, 67251, 52938, 50859, 52129, 53156, 54004, 53737, 73504, 50844, 55786, 54418, 51667, 56022, 50844, 75799, 51346, 53469, 51346, 52468, 51346, 55131, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 51667, 50938, 53469, 50938, 55131, 57370, 50844, 55786, 53974, 51667, 50938, 53469, 50938, 51664, 50938, 55131, 56022, 53614, 51667, 50938, 53469, 50938, 51664, 51346, 55131, 60075, 52938, 54811, 51667, 51346, 53469, 51346, 55131, 67251, 53156, 54004, 52468, 57370, 50844, 55786, 54418, 51721, 50938, 52118, 50938, 54223, 50938, 60765, 56022, 50844, 72135, 51346, 52118, 51346, 52468, 51346, 60765, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 73504, 50844, 55786, 50859, 51361, 53614, 52200, 51346, 52360, 51346, 54223, 51346, 58374, 67251, 52938, 50859, 52129, 53156, 54004, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 73504, 50844, 55786, 50859, 51453, 50844, 71025, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52200, 50938, 51715, 50994, 53049, 52200, 57370, 50844, 55786, 53974, 52185, 50938, 54223, 56022, 53614, 51643, 51346, 53232, 51346, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 57370, 50844, 55786, 54418, 52200, 56022, 50844, 50799, 52200, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52185, 50938, 51715, 50994, 53049, 51643, 51346, 53232, 73504, 50844, 55786, 53974, 54223, 56022, 53614, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 60075, 52938, 54811, 52200, 60075, 53156, 54004, 52200, 50938, 60690, 73504, 50844, 55786, 54418, 51993, 56022, 50844, 71756, 51446, 54941, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 53232, 51538, 59775, 51538, 50804, 50844, 55786, 53974, 53046, 56022, 53614, 51643, 50938, 53046, 67251, 52938, 54811, 51721, 60075, 53156, 54004, 51643, 50938, 53046, 73504, 50844, 55786, 54418, 51721, 56022, 50844, 50799, 52185, 51446, 52230, 51446, 54941, 51346, 54540, 51446, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 50833, 51302, 50844, 55786, 53974, 53046, 56022, 53614, 53046, 67251, 52938, 50859, 52129, 53156, 54004, 51643, 51346, 53232, 51346, 52286, 50938, 59775, 73504, 50844, 55786, 54418, 54223, 56022, 50844, 50799, 52226, 50938, 53232, 50938, 55655, 51346, 59775, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52226, 50938, 53232, 50938, 59775, 50938, 51715, 50994, 53049, 52226, 51346, 53232, 51346, 59775, 73504, 50844, 55786, 53974, 55655, 56022, 53614, 52200, 51446, 52661, 51346, 54223, 51346, 58374, 67251, 52938, 50859, 52129, 53156, 54004, 52661, 50938, 54244, 51346, 58374, 57370, 50844, 55786, 54418, 52661, 50938, 58374, 56022, 50844, 50799, 52200, 51538, 52661, 50938, 54223, 51346, 58374, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52661, 50938, 58374, 50938, 51715, 50994, 50833, 51302, 50844, 55786, 53974, 52661, 50938, 54244, 50938, 58374, 56022, 53614, 52661, 51346, 54223, 51346, 58374, 67251, 52938, 50859, 52129, 53156, 54004, 52200, 50938, 54223, 73504, 50844, 55786, 54418, 52185, 56022, 50844, 50799, 52185, 51264, 60690, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 53252, 51538, 54540, 51538, 50804, 50844, 55786, 53974 ]
[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 11, 230, 538, 6, 4246, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 6, 272, 6, 1918, 6, 8, 274, 31473, 10, 2950, 8, 32625, 13569, 9862, 7, 42, 765, 2125, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 50, 25, 10, 11379, 13, 3423, 9, 657, 8, 36474, 13005, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 60496, 53624, 50877, 52985, 50877, 53581, 50906, 50838, 54852, 51627, 50876, 51627, 51050, 53588, 50900, 53588, 50871, 53588, 60496, 53624, 50906, 52985, 77116, 55331, 58794, 51592, 51027, 53588, 50900, 53588, 50916, 53588, 56546, 51627, 60027, 53581, 50876, 50838, 54578, 51199, 77116, 50902, 51199, 50997, 53588, 50899, 53588, 56546, 53052, 50902, 51283, 56415, 53581, 50877, 51680, 54197, 53588, 50900, 53588, 50444, 50931, 52985, 50902, 53581, 50876, 50838, 54852, 51627, 50902, 51627, 50997, 53588, 50899, 53588, 50871, 53588, 66836, 51199, 60027, 53581, 50861, 50932, 56310, 53588, 50900, 53588, 50871, 53588, 57340, 73196, 50931, 52985, 50902, 53581, 50876, 50838, 55331, 51283, 50997, 53588, 50899, 53588, 50871, 53588, 63975, 52718, 50902, 53624, 50876, 52985, 50877, 53581, 50876, 51680, 53975, 52598, 50871, 52598, 50861, 52598, 50438, 50999, 58753, 52598, 50916, 52598, 50861, 52598, 50444, 50999, 52985, 50999, 53581, 51081, 50838, 54197, 52216, 50328, 51627, 53502, 51074, 53645, 57524, 50877, 55659, 50999, 55512, 52598, 50444, 51081, 52985, 50999, 51199, 57551, 52216, 50330, 50838, 53502, 52216, 50328, 51680, 56248, 57524, 50861, 55659, 50876, 52598, 50450, 50999, 53581, 51062, 50838, 54868, 52216, 50330, 51199, 56945, 51074, 53337, 52216, 50328, 53052, 50871, 52216, 50330, 54498, 50877, 52598, 50444, 50931, 52985, 50951, 53581, 50999, 51680, 53997, 51074, 56945, 51074, 53523, 57524, 50916, 55659, 50877, 52598, 50444, 51339, 52985, 51146, 53581, 51062, 50838, 55435, 52216, 50330, 51283, 54569, 51074, 53645, 57524, 51146, 57292, 52056, 50438, 51146, 51199, 55989, 51074, 56415, 77882, 53581, 50906, 74337, 50932, 56310, 51074, 53502, 77882, 51283, 53645, 57524, 50877, 52056, 55513, 52216, 50333, 52985, 50871, 52216, 50330, 53581, 50877, 52216, 50328, 50838, 54955, 52216, 50330, 51199, 54569, 51074, 53645, 52216, 50330, 51199, 63931, 52056, 50438, 51146, 51199, 55989, 51074, 56415, 52216, 50333, 53581, 50906, 52216, 50335, 51680, 53975, 51074, 55961, 51074, 54439, 57524, 50906, 55659, 50876, 52598, 50444, 50931, 52985, 50902, 53581, 50876, 50838, 54197, 65351, 55512, 77424, 53502, 74056, 52688, 50871, 74337, 53052, 50861, 74056, 52718, 50877, 77882, 51199, 58365, 51074, 56415, 65351, 53581, 50900, 64900, 51680, 56310, 51074, 53502, 55752, 50916, 57524, 50861, 55659, 50877, 51074, 58365, 64900, 52985, 50916, 70358, 53581, 50900, 74056, 50838, 54868, 65351, 57777, 57945, 54177, 51027, 74056, 52688, 50899, 74337, 53052, 50871, 74056, 52718, 50877, 74337, 53624, 50871, 77882, 51199, 56279, 59435, 51027, 70358, 51680, 53997, 51074, 56945, 51074, 53523, 57524, 50871, 55659, 50877, 51074, 57428, 77882, 52985, 50900, 77882, 53581, 51027, 70358, 50838, 54662, 77882, 54177, 51050, 74337, 52688, 50997, 74337, 53052, 50899, 74056, 52718, 50871, 74056, 53624, 50899, 70358, 51199, 64057, 52056, 50456, 50999, 50932, 56310, 51074, 53502, 74337, 52688, 50871, 74056, 53052, 50902, 56943, 52056, 55513, 77882, 52985, 50871, 74337, 53581, 50877, 74056, 50838, 54955, 77882, 54177, 50899, 74337, 52688, 50871, 74056, 53052, 50861, 74337, 52718, 51086, 77882, 53624, 50871, 74337, 52985, 50861, 74056, 53581, 50902, 57945, 50838, 53975, 52216, 50330, 51199, 55961, 51074, 54439, 77882, 53052, 50906, 52216, 50328, 54498, 50900, 59837, 50916, 52216, 50328, 52985, 50861, 52216, 50328, 53581, 50876, 64900, 50838, 54197, 74337, 50838, 53502, 74056, 52688, 50871, 74337, 53052, 50861, 74056, 52718, 50877, 77882, 51199, 58365, 51074, 56415, 65351, 53581, 50900, 64900, 51680, 56310, 51074, 53502, 55752, 50916, 57524, 50861, 55659, 50877, 52598, 75795, 52985, 50902, 53581, 50931, 50838, 54868, 74337, 54177, 51027, 74056, 52688, 50899, 74337, 53052, 50871, 74056, 52718, 50877, 74337, 53624, 50871, 77882, 51199, 56279, 59435, 51027, 70358, 51680, 53997, 51074, 56945, 51074, 53523, 57524, 50871, 55659, 50877, 51074, 57428, 77882, 52985, 50900, 77882, 53581, 51027, 70358, 50838, 54662, 77882, 54177, 51050, 74337, 52688, 50997, 74337, 53052, 50899, 74056, 52718, 50871, 74056, 53624, 50899, 70358, 51199, 64057, 59435, 51050, 52216, 62624, 55547, 51074, 60284, 74337, 52688, 51027, 74056, 53052, 50900, 70358, 52718, 50871, 51074, 55513, 77882, 52985, 51027, 74337, 53581, 51050, 74056, 50838, 54795, 77882, 54177, 51120, 74337, 52688, 51026, 74056, 53052, 50997, 74337, 52718, 50999, 58754, 52598, 50444, 50951, 52985, 50931, 53581, 50951, 50838, 58479, 58753, 52598, 50871, 52598, 50861, 52598, 50906, 52598, 50420, 51062, 64025, 50999, 51283, 50900, 52598, 50916, 52598, 50861, 52598, 50906, 52598, 50456, 50902, 50838, 58106, 50931, 51627, 51050, 53588, 50900, 53588, 50871, 53588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 6, 20425, 37903, 9, 5175, 930, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51197, 56908, 51197, 53244, 50906, 59067, 50973, 58647, 50877, 50967, 55881, 56908, 51197, 53244, 50906, 56080, 50973, 53402, 50965, 58647, 50916, 50967, 55881, 56908, 51197, 53244, 50973, 59067, 50956, 58647, 72481, 55881, 56908, 51197, 53244, 51001, 56080, 50973, 69127, 51197, 53484, 50965, 56388, 66432, 55881, 56908, 51197, 53244, 50906, 59067, 50973, 58647, 50877, 50967, 55881, 56908, 51197, 53244, 50906, 56080, 50973, 53402, 50965, 57225, 59836, 50454, 66432, 55881, 56908, 51197, 53244, 50973, 59067, 50956, 58647, 50906, 64603, 59836, 55881, 52115, 50956, 52296, 51197, 51620, 50956, 56080, 50989, 53402, 50906, 69127, 50956, 53484, 80053, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2635, 6, 3722, 15855, 2125, 4246, 10, 6755, 12547, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 9066, 2821, 16235, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3905, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 8, 2060, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 72191, 51426, 51054, 51165, 51054, 51154, 55198, 50426, 51794, 51054, 51088, 61287, 51299, 52208, 51375, 52208, 50796, 50799, 51638, 51054, 51165, 51054, 51154, 51527, 50426, 51794, 51054, 51088, 61287, 51299, 51054, 51426, 51054, 51375, 61860, 51638, 51054, 51154, 51054, 51395, 51054, 70526, 51054, 52316, 51527, 51426, 55198, 50426, 51375, 61287, 51699, 52208, 51165, 52208, 50796, 68051, 51054, 51165, 51054, 51154, 55198, 50426, 51426, 51054, 51088, 61287, 51794, 52208, 51375, 52208, 50796, 68051, 51054, 51165, 51054, 51154, 52369, 50426, 51426, 51054, 51088, 61287, 51794, 51054, 51375, 61860, 52065, 51054, 51491, 51054, 51395, 51054, 50799, 51375, 51054, 51883, 55198, 51301, 55198, 50426, 51357, 61287, 51488, 52208, 50796, 66325, 51054, 51201, 51054, 51088, 52369, 50426, 51165, 51054, 51107, 61287, 51093, 51054, 51375, 51527, 50450, 51154, 51054, 51182, 51054, 50799, 51375, 51054, 51165, 51054, 51426, 51527, 50426, 51088, 51054, 51093, 61287, 51794, 52208, 51375, 52208, 51488, 52208, 50796, 66325, 51054, 51201, 51054, 51088, 52369, 50426, 51165, 51054, 51107, 61287, 51093, 51054, 51375, 53501, 50450, 51154, 51054, 51182, 51054, 66140, 51054, 51426, 55198, 50426, 51600, 56073, 50796, 72191, 51426, 51054, 51165, 51054, 51154, 55198, 50426, 51794, 51054, 51088, 51054, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 3836, 1349, 4246, 38668, 20535, 6, 38668, 483, 6, 21072, 6, 23338, 33518, 1264, 6, 8, 38668, 22052, 4, 590, 10, 1769, 20889, 9, 24404, 163, 5683, 8, 278, 11, 5, 762, 9, 12608, 538, 6, 42, 15352, 30054, 2125, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 12608, 6, 163, 428, 6, 2060, 6, 8, 163, 428, 4, 20, 2214, 18, 14899, 2574, 8, 11299, 4785, 1045, 10, 3366, 219, 6, 980, 219, 5466, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50444, 53037, 75756, 52280, 57092, 51756, 50932, 50799, 52606, 52337, 52398, 51445, 51716, 78160, 52280, 51627, 50799, 51678, 51445, 52072, 51445, 50444, 53037, 52985, 52280, 57092, 51756, 50932, 50799, 53496, 52222, 51821, 51445, 52398, 78160, 52280, 59386, 52280, 66255, 53037, 58946, 53037, 71892, 52280, 55437, 51756, 70347, 51756, 51199, 50799, 52606, 51445, 51678, 51445, 52072, 78160, 52280, 51576, 50432, 53037, 51797, 50444, 53348, 50864, 53037, 51174, 62699, 57012, 53348, 51008, 62699, 55620, 54824, 50978, 52280, 51376, 71630, 59132, 53348, 51008, 51756, 50932, 62699, 50897, 50799, 63564, 51008, 52606, 52337, 52398, 52222, 51716, 51445, 64769, 60724, 58569, 50874, 52280, 51108, 70924, 52710, 54824, 50874, 53037, 50827, 71630, 52749, 53348, 51008, 53037, 51142, 62699, 56057, 53037, 68982, 53348, 50825, 52387, 50933, 62699, 54926, 53348, 50874, 62699, 52848, 54824, 51008, 52387, 51142, 71630, 57313, 53348, 50933, 52861, 51051, 62699, 50897, 50799, 54115, 51058, 52861, 51051, 51678, 52151, 52072, 51445, 53034, 52337, 57822, 61555, 53348, 50933, 55458, 51051, 62699, 55640, 55458, 67673, 53348, 51008, 55458, 51174, 62699, 58937, 53348, 51008, 62699, 68788, 53348, 50886, 62699, 53886, 54824, 51008, 52527, 50933, 71630, 57313, 53348, 50933, 52527, 51006, 62699, 50897, 50799, 58569, 50874, 53496, 51445, 51821, 52222, 52398, 51445, 70924, 59249, 52840, 54177, 54195, 50874, 56126, 54080, 52840, 60316, 54824, 50874, 71630, 64123, 52840, 66255, 53348, 50874, 62699, 57577, 51756, 53624, 53348, 50825, 62699, 54926, 53348, 51058, 62699, 50938, 50448, 51756, 56989, 54824, 51008, 71630, 57313, 53348, 50874, 52527, 50838, 62699, 50812, 50799, 54115, 50874, 52606, 51445, 51678, 51445, 52072, 51445, 57822, 50812, 50416, 51756, 51642, 50420, 53348, 50874, 62699, 52710, 52280, 52460, 50432, 53348, 51008, 62699, 50897, 50770, 50312, 51675, 50433, 51756, 51642, 50443, 52280, 55437, 53037, 50972, 50799, 64011, 65061, 53761, 51030, 55189, 51030, 58342, 63446, 64011, 65342, 53761, 51033, 55189, 51030, 58342, 51030, 50435, 64011, 57174, 53761, 51030, 55189, 51030, 54843, 56646, 64011, 64046, 53761, 50911, 55189, 51030, 54843, 51030, 50453, 64011, 57701, 53761, 51030, 55189, 51030, 60791, 51033, 50799, 61836, 65061, 52685, 50911, 53761, 50911, 55189, 56346, 61836, 65342, 52685, 51030, 53761, 51030, 55189, 51030, 50435, 61836, 60364, 52685, 51030, 53761, 50911, 52730, 62619, 61836, 64046, 52685, 51030, 53761, 51030, 52730, 51030, 50453, 61836, 57701, 52685, 51030, 53761, 51030, 54326, 51033, 50799, 64552, 72933, 54072, 50911, 53859, 50911, 54290, 56346, 64552, 62753, 54072, 51030, 53859, 51030, 54290, 51030, 50435, 64552, 60364, 54072, 51030, 53859, 50911, 52544, 62619, 64552, 64046, 54072, 51030, 53859, 50911, 52544, 70087, 64552, 57701, 54072, 51030, 53859, 51030, 55189, 51030, 50799, 61836, 75832, 52685, 50911, 53761, 50911, 55189, 56346, 61836, 62753, 52685, 51030, 53761, 50911, 55189, 51030, 50435, 61836, 60364, 52685, 51030, 53761, 51030, 52730, 51030, 50442, 50770, 50317, 79887, 53037, 50838, 61836, 64046, 52685, 51030, 53761, 50911, 52730, 63233, 52280, 62892, 61836, 57251, 53761, 51030, 52730, 51030, 54326, 51030, 50457, 51756, 51484, 50799, 64011, 65061, 53761, 51030, 55189, 51030, 58342, 51030, 50421, 52280, 60184, 64011, 65342, 53761, 51033, 55189, 51030, 58342, 51030, 50435, 64011, 57174, 53761, 51030, 55189, 51030, 54843, 56646, 53037, 50972, 64011, 64046, 53761, 50911, 55189, 51030, 54843, 63233, 52280, 62892, 64011, 57701, 53761, 51030, 55189, 51030, 60791, 51033, 50457, 51756, 52056, 50799, 61836, 65061, 52280, 50932, 52685, 50911, 53761, 50911, 55189, 56346, 61836, 65342, 52685, 51030, 53761, 51030, 55189, 51030, 50435, 61836, 60364, 52685, 51030, 53761, 50911, 52730, 62619, 61836, 51010, 50445, 51850, 57060, 52685, 51030, 53761, 51030, 52730, 51030, 50451, 51756, 52063, 50453, 61836, 57701, 52685, 51030, 53761, 51030, 54326, 72870, 52527, 51199, 50799, 64552, 72933, 54072, 50911, 53859, 50911, 54290, 50911, 50421, 51850, 51423, 50426, 64552, 62753, 54072, 51030, 53859, 51030, 54290, 51030, 50435, 64552, 60364, 54072, 51030, 53859, 50911, 52544, 62619, 51850, 50838, 64552, 64046, 54072, 51030, 53859, 50911, 52544, 75477, 51756, 77765, 64552, 57701, 54072, 51030, 53859, 51030, 55189, 51030, 50457, 52527, 50932, 50799, 61836, 51045, 50801, 52432, 51850, 51884, 52685, 50911, 53761, 50911, 55189, 57438, 53899, 50816, 52872, 61836, 57591, 54974, 52685, 51030, 53761, 50911, 55189, 65678, 53196, 50816, 54483, 61836, 57591, 52896, 52685, 51030, 53761, 51030, 52730, 65678, 50863, 53525, 53027, 61836, 57591, 54284, 52685, 51030, 53761, 50911, 52730, 65678, 50837, 51899, 55423, 61836, 56429, 53017, 53761, 51030, 52730, 51030, 54326, 65678, 50834, 53206, 50834, 55609, 50808, 53112, 51243, 64011, 65426, 52432, 51602, 50864, 53761, 51030, 55189, 51030, 58342, 51030, 63255, 51602, 50836, 56457, 51602, 50854, 64011, 55572, 54013, 53761, 51033, 55189, 51030, 58342, 60022, 51602, 50862, 72387, 51602, 50855, 64011, 50950, 51931, 56618, 50812, 53761, 51030, 55189, 51030, 54843, 56795, 52210, 51602, 50813, 64011, 51010, 67534, 51602, 50836, 53761, 50911, 55189, 51030, 54843, 51030, 59207, 51602, 53841, 53545, 64011, 57701, 51602, 50836, 53761, 51030, 55189, 51030, 60791, 51033, 74268, 51602, 50855, 51931, 54293, 50800, 53292, 51243, 61836, 65426, 52432, 51533, 50840, 52685, 50911, 53761, 50911, 55189, 50911, 69971, 51533, 50836, 56457, 51533, 50800, 61836, 55572, 54013, 52685, 51030, 53761, 51030, 55189, 60022, 51533, 50836, 68329, 51533, 50887, 61836, 51010, 51931, 55545, 50859, 52685, 51030, 53761, 50911, 52730, 60636, 52210, 51533, 50836, 61836, 51010, 67534, 51533, 50840, 52685, 51030, 53761, 51030, 52730, 51030, 59207, 51533, 53530, 53545, 61836, 57701, 51533, 50836, 52685, 51030, 53761, 51030, 54326, 51033, 74268, 51533, 50836, 51931, 57157, 50809, 54427, 51243, 64552, 68391, 52432, 51957, 50841, 54072, 50911, 53859, 50911, 54290, 50911, 69971, 51957, 50855, 60454, 51957, 50859, 64552, 57888, 54013, 54072, 51030, 53859, 51030, 54290, 60022, 51957, 50840, 68329, 51957, 50809, 64552, 51010, 51931, 58105, 50808, 54072, 51030, 53859, 50911, 52544, 60636, 52210, 51957, 50836, 64552, 51010, 67846, 51957, 50809, 54072, 51030, 53859, 50911, 52544, 50911, 56890, 51957, 52218, 53545, 64552, 57701, 51957, 50836, 54072, 51030, 53859, 51030, 55189, 51030, 72446, 51957, 51421, 50834, 54293, 50855, 53292, 51243, 61836, 51045, 52164, 53735, 52432, 51533, 50813, 52685, 50911, 53761, 50911, 55189, 50911, 52164, 51833, 54104, 51533, 51582, 52928, 51533, 50833, 61836, 50388, 55421, 53617, 54013, 52685, 51030, 53761, 50911, 55189, 51030, 52164, 52767, 51533, 50855, 75596, 51533, 50840, 61836, 50388, 55421, 51833, 50834, 55545, 50812, 52685, 51030, 53761, 51030, 52730, 51030, 52164, 53617, 52210, 51533, 50855, 61836, 50388, 55421, 51916, 57028, 53037, 70591, 51533, 50836, 52685, 51030, 53761, 50911, 52730, 51030, 52164, 51916, 53057, 51533, 52476, 50558, 55170, 56086, 52280, 77765, 61836, 54262, 50558, 53217, 51533, 50840, 53761, 51030, 52730, 51030, 54326, 51030, 52164, 52771, 57534, 51756, 51199, 50459, 51533, 72089, 51833, 50820, 55609, 50808, 53112, 51243, 64011 ]
[ 0, 4688, 20425, 5175, 2214, 19, 10, 980, 219, 8, 3366, 219, 16464, 6, 4246, 38668, 3038, 6, 21979, 8, 38668, 9590, 6, 8016, 6496, 6, 8, 5951, 14744, 4, 85, 18, 278, 11, 274, 3694, 6, 34, 10, 1769, 20889, 9, 8325, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 119, 406, 8, 272, 119, 406, 16, 6636, 5705, 1328, 5, 1349, 6, 2351, 10, 15352, 30054, 8, 11299, 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 ]	[ 56236, 51930, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 54935, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 54935, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 54935, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 54935, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 54935, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 50811, 50754, 50324, 58160, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 50811, 60609, 55155, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 50836, 59776, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 50811, 75314, 55310, 50772, 50353, 50811, 60609, 78583 ]
[ 0, 250, 765, 6, 15352, 30054, 3495, 2214, 11, 230, 3694, 6, 4246, 10, 13305, 4, 85, 34, 10, 2933, 8, 20425, 6711, 6, 10686, 13, 822, 4, 20, 748, 1879, 4450, 20889, 8, 204, 73, 306, 86, 6543, 489, 5, 2125, 1375, 556, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50420, 51085, 59920, 57593, 52038, 51085, 59920, 57593, 52030, 51085, 59920, 57593, 52125, 51503, 51009, 51176, 51009, 50965, 51009, 52591, 51234, 71863, 58503, 52038, 51234, 71863, 58503, 52030, 51234, 71863, 58503, 52125, 51214, 51184, 51026, 51184, 50861, 51184, 50796, 75795, 52596, 50876, 52961, 50876, 50805, 54578, 52024, 50965, 52024, 50420, 51028, 52483, 51028, 52605, 51028, 52446, 50876, 51264, 50444, 51147, 52596, 51147, 52961, 51147, 50805, 56229, 51623, 75795, 52596, 50876, 52961, 50876, 50805, 55524, 52024, 50861, 52024, 50420, 51028, 52483, 51028, 52605, 51028, 52446, 50876, 53090, 50444, 51081, 52596, 51081, 52961, 51081, 50805, 56807, 51623, 50444, 51062, 52596, 51062, 52961, 51081, 50805, 54578, 51077, 51147, 51623, 69980, 52483, 50965, 52605, 50906, 52446, 50951, 60424, 51077, 50876, 63883, 51062, 52596, 51062, 52961, 51081, 50805, 54578, 51077, 51147, 51623, 69980, 52483, 50965, 52605, 50906, 52446, 50951, 60424, 51077, 50876, 63883, 51062, 52596, 51062, 52961, 51081, 50805, 54578, 53177, 50312, 53177, 50316, 53177, 50324, 63418, 51040, 53177, 50309, 53177, 50315, 53177, 50321, 51090, 53975, 78828, 53177, 50316, 53177, 50320, 53177, 50328, 51551, 50444, 51028, 52596, 51028, 52961, 51028, 50805, 55694, 53090, 55902, 52483, 50861, 52605, 50861, 52446, 50916, 51264, 71289, 52596, 51040, 52961, 51040, 50805, 53975, 51623, 50420, 51085, 52483, 51085, 52605, 51085, 52446, 51050, 57449, 60037, 52815, 51028, 52596, 51028, 52961, 51028, 50805, 55694, 53090, 55902, 52483, 50861, 52605, 50861, 52446, 50916, 51264, 71289, 52596, 51040, 52961, 51040, 50805, 53975, 51538, 50420, 51085, 52483, 51085, 52605, 51085, 52446, 50871, 60037, 69769, 55480, 50876, 52596, 50931, 52961, 50931, 50805, 56229, 51077, 50861, 51538, 50906, 51538, 51028, 51538, 50420, 51247, 69769, 52483, 51247, 69769, 52605, 51247, 69769, 52446, 50968, 50805, 51247, 51608, 50297, 55480, 50968, 52596, 50968, 52961, 50951, 50805, 56807, 51077, 50965, 51538, 50876, 51538, 50420, 51247, 69769, 52483, 51247, 69769, 52605, 51247, 69769, 52446, 50931, 50805, 51247, 51608, 50297, 55480, 50931, 52596, 50931, 52961, 51147, 50805, 62856, 57449, 58419, 71734, 66950, 55385, 50951, 52483, 50951, 52605, 51081, 52446, 51081, 57449, 58835, 65439, 55480, 50999, 52596, 50999, 52961, 51062, 50805, 59733, 57449, 58419, 71734, 55385, 51081, 52483, 51081, 52605, 51399, 52446, 51399, 57449, 59460, 65439, 55480, 51062, 52596, 51062, 52961, 51405, 50805, 76953, 57449, 58419, 71734, 55385, 51399, 52483, 51399, 52605, 51339, 52446, 51339, 57449, 58419, 71734, 65934, 55480, 51430, 52596, 51430, 52961, 51487, 50805, 54578, 68678, 58987, 67800, 50824, 51339, 53681, 50900, 57593, 61537, 60253, 64244, 52175, 51085, 57593, 61537, 60253, 64244, 52325, 50900, 57593, 61537, 60253, 64244, 50802, 54197, 58987, 67800, 72970, 73301, 53681, 50900, 57593, 61537, 60253, 64244, 52175, 51085, 57593, 61537, 64244, 60253, 54098, 50900, 57593, 61537, 64244, 50802, 54197, 58987, 67800, 72970, 73301, 54107, 51085, 58987, 73414, 66547, 73301, 53663, 51050, 58987, 67800, 72970, 73301, 54145, 51085, 58987, 73414, 66547, 73301, 50824, 54197, 58987, 67800, 72970, 73301, 54107, 51085, 73414, 66547, 73301, 50824, 51430, 53663, 51050, 67800, 72970, 73301, 50824, 51339, 54145, 51085, 73414, 66547, 73301, 50824, 51430, 50824, 54197, 67800, 72970, 73301, 50824, 51339, 53663, 51085, 66822, 57994, 58987, 73414, 50824, 58106, 51247, 50824, 51050, 68678, 58987, 67800, 50824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 20425, 8, 15352, 30054, 3152, 8, 3495, 2214, 16, 686, 7, 5258, 110, 11656, 19, 63, 33558, 16464, 4, 27901, 10, 20902, 20535, 2810, 6, 30587, 8, 81, 9756, 29589, 6, 8, 10, 1428, 12638, 1451, 6, 5, 1349, 3136, 23, 10, 1769, 2877, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 24, 22848, 10, 33215, 16739, 9, 163, 119, 406, 8, 83, 73, 717, 6, 1271, 7, 63, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50796, 60651, 50838, 69036, 50838, 51493, 50901, 61401, 67152, 58659, 52645, 50827, 51493, 53906, 52645, 50838, 51493, 56369, 65625, 52645, 50827, 51493, 54312, 54968, 52645, 50838, 51493, 58679, 64281, 52645, 50827, 51493, 54276, 52645, 50838, 51493, 56369, 64963, 52660, 50827, 51273, 54312, 50949, 69036, 50838, 51493, 58679, 70394, 52645, 50827, 51493, 53906, 52645, 50838, 51493, 56369, 65625, 52645, 50827, 51493, 54312, 54968, 52645, 50838, 51493, 58679, 64281, 52645, 50827, 51493, 53597, 50615, 53996, 52645, 50838, 51493, 50901, 73603, 58379, 50949, 55350, 64963, 52660, 50827, 51273, 50854, 55253, 50933, 55253, 50933, 57007, 57901, 51126, 69036, 50838, 51493, 50901, 54817, 50933, 54817, 50933, 61401, 62016, 54302, 50933, 54302, 64987, 52645, 50827, 51493, 50854, 63563, 50933, 63563, 50933, 51335, 54654, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 50933, 53212, 51367, 51126, 50430, 54817, 50933, 54817, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 53485, 50933, 53485, 62565, 52645, 50827, 51493, 50854, 61642, 50933, 61642, 55514, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 59743, 67641, 54817, 50933, 54817, 65897, 52660, 50827, 51273, 50854, 57418, 50933, 57418, 55930, 50949, 69036, 50838, 51493, 50901, 59878, 50933, 59878, 55930, 72746, 53865, 50933, 53865, 64987, 52645, 50827, 51493, 50854, 65193, 50933, 65193, 55656, 52645, 50838, 51493, 50901, 57418, 50933, 57418, 59743, 64362, 59878, 50933, 59878, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 54302, 50933, 54302, 62565, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55514, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 59743, 67641, 54302, 50933, 54302, 65897, 52660, 50827, 51273, 50854, 55253, 50933, 55253, 55930, 50949, 69036, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 72746, 54302, 50933, 54302, 64987, 52645, 50827, 51493, 50854, 63563, 50933, 63563, 55656, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 59743, 64362, 54817, 50933, 54817, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 53485, 50933, 53485, 62565, 52645, 50827, 51493, 50854, 61642, 50933, 61642, 55514, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 59743, 67641, 54817, 50933, 54817, 65897, 52660, 50827, 51273, 50854, 57418, 50933, 57418, 55930, 50949, 69036, 50838, 51493, 50901, 59878, 50933, 59878, 55930, 72746, 53865, 50933, 53865, 64987, 52645, 50827, 51493, 50854, 65193, 50933, 65193, 55656, 52645, 50838, 51493, 50901, 57418, 50933, 57418, 59743, 64362, 59878, 50933, 59878, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 54302, 50933, 54302, 62565, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 59743, 53035, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 59743, 60053, 54302, 50933, 54302, 59743, 60203, 52660, 50827, 51273, 50854, 77817, 50933, 77817, 50933, 57007, 50961, 69036, 50838, 51493, 50901, 72283, 50933, 72283, 50933, 57492, 52909, 59527, 63563, 50933, 63563, 64987, 52645, 50827, 51493, 50854, 72283, 50933, 72283, 55656, 52645, 50838, 51493, 50901, 63563, 50933, 63563, 50933, 53212, 50922, 50364, 51865, 59225, 55253, 50933, 55253, 62727, 52645, 50827, 51493, 50854, 72283, 50933, 72283, 55930, 54968, 52475, 50838, 51216, 50901, 61642, 50933, 61642, 50933, 51938, 50922, 59144, 57418, 50933, 57418, 62565, 52475, 50827, 51216, 50854, 54817, 50933, 54817, 55514, 52475, 50838, 51216, 50901, 53485, 50933, 53485, 50933, 53212, 50922, 67827, 54817, 50933, 54817, 65897, 52587, 50827, 51461, 50854, 50692, 50334, 50933, 50692, 50334, 50933, 51938, 50922, 50908, 61163, 50838, 51273, 50901, 65193, 50933, 65193, 50933, 51938, 50922, 59527, 57418, 50933, 57418, 64987, 52660, 50827, 51273, 50854, 65193, 50933, 65193, 55656, 52660, 50838, 51273, 50901, 57418, 50933, 57418, 50933, 53212, 50922, 51129, 50430, 59878, 50933, 59878, 62727, 53311, 50827, 51705, 50854, 65193, 50933, 65193, 55930, 54968, 51995, 50838, 51098, 50901, 55253, 50933, 55253, 50933, 51938, 50922, 59144, 53865, 50933, 53865, 62565, 51995, 50827, 51098, 50854, 54302, 50933, 54302, 55514, 51995, 50838, 51098, 50901, 53485, 50933, 53485, 50933, 53212, 50922, 67827, 53865, 50933, 53865, 65897, 54471, 50827, 52659, 50854, 63563, 50933, 63563, 50933, 51938, 50922, 50908, 60139, 50838, 51461, 50901, 61642, 50933, 61642, 50933, 51938, 50922, 59527, 55253, 50933, 55253, 64987, 52587, 50827, 51461, 50854, 54817, 50933, 54817, 55656, 52587, 50838, 51461, 50901, 53865, 50933, 53865, 50933, 53212, 50922, 51129, 50430, 53485, 50933, 53485, 62727, 52645, 50827, 51493, 50854, 54302, 50933, 54302, 55930, 54968, 51758, 50838, 51140, 50901, 53485, 50933, 53485, 50933, 51938, 50922, 59144, 54302, 50933, 54302, 62565, 51758, 50827, 51140, 50854, 53304, 50933, 53304, 55514, 51758, 50838, 51140, 50901, 53159, 50933, 53159, 50933, 53212, 50922, 67827, 53554, 50933, 53554, 65897, 52887, 50827, 52419, 50854, 54388, 50933, 54388, 50933, 51938, 50922, 50908, 71999, 50838, 52659, 50901, 55264, 50933, 55264, 50933, 51938, 50922, 59527, 54388, 50933, 54388, 64987, 54471, 50827, 52659, 50854, 56824, 50933, 56824, 50933, 51326, 52870, 54471, 50838, 52659, 50901, 54302, 50933, 54302, 50933, 53212, 52388, 54821, 51129, 50430, 61932, 50933, 61932, 50933, 51456, 57535, 52632, 50827, 51560, 50854, 54231, 50933, 54231, 50933, 51938, 52388, 52950, 52645, 50838, 51493, 50901, 54388, 50933, 54388, 50933, 51938, 52388, 52954, 59144, 56824, 50933, 56824, 50933, 52060, 59279, 52645, 50827, 51493, 50854, 53159, 50933, 53159, 50933, 52060, 53409, 52645, 50838, 51493, 50901, 54364, 50933, 54364, 50933, 53212, 52897, 55101, 67827, 56824, 50933, 56824, 59743, 60427, 51245, 50959, 51245, 50959, 52645, 50827, 51493, 50854, 61932, 51080, 61932, 51080, 54388, 51080, 54388, 51080, 54409, 51103, 51266, 51145, 57007, 55101, 50908, 50799, 51404, 50933, 51404, 50933, 51493, 50901, 51938, 50985, 57901, 56821, 59527, 51499, 50933, 51499, 64987, 51746, 50933, 51746, 50933, 51493, 53906, 51245, 50933, 51245, 50933, 51493, 50901, 53212, 50922, 51129, 50430, 51404, 50933, 51404, 62727, 51245, 50959, 51245, 50959, 51493, 54312, 54968, 51404, 50933, 51404, 50933, 51493, 50901, 51938, 50922, 59144, 51347, 50933, 51347, 62565, 51593, 50933, 51593, 50933, 51493, 54276, 51245, 50933, 51245, 50933, 51493, 50901, 53212, 50922, 67827, 51404, 50933, 51404, 65897, 51323, 50959, 51323, 50959, 51273, 50854, 54409, 50897, 51266, 50955, 51938, 50922, 50908, 50799, 51823, 51008, 51823, 51008, 51493, 50901, 52991, 51103, 51107, 51145, 51938, 50922, 59527, 51188, 51008, 51188, 69647, 51478, 50955, 51478, 50955, 51493, 53906, 51323, 50959, 51323, 50959, 51493, 50901, 53212, 50922, 51129, 50430, 51823, 51008, 51823, 62743, 51245, 50959, 51245, 50959, 51493, 54312, 54968, 51404, 51008, 51404, 51008, 51493, 50901, 51938, 50922, 59144, 51499, 51008, 51499, 67139, 51245, 51008, 51245, 51008, 51493, 54276, 51404, 51008, 51404, 51008, 51493, 50901, 53212, 50922 ]
[ 0, 250, 5679, 26709, 8, 19448, 15855, 2125, 19, 5175, 4785, 6, 4246, 38668, 20535, 6, 13305, 6, 17691, 28430, 6, 21979, 9590, 6, 8, 326, 5638, 18026, 4, 20, 2214, 16, 11, 274, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 119, 406, 6, 83, 406, 6, 211, 119, 406, 6, 230, 119, 406, 6, 8, 274, 406, 6, 2351, 10, 43580, 3693, 5466, 19, 17878, 9, 15073, 8, 10, 12405, 1619, 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 ]	[ 57448, 51275, 51330, 54310, 50915, 51760, 55382, 51275, 50981, 51964, 51446, 53857, 51103, 53761, 51103, 54326, 51103, 56361, 51103, 51476, 50943, 51980, 50905, 51981, 51212, 52932, 51101, 54310, 51101, 51760, 57421, 51706, 76810, 51561, 51312, 51980, 50855, 55458, 76623, 51099, 54058, 52176, 51291, 53367, 51103, 52544, 51103, 53043, 51103, 54843, 51103, 51410, 51189, 51327, 51391, 51825, 51351, 51981, 51134, 52387, 56934, 51280, 51480, 62673, 50995, 52280, 60413, 51280, 51212, 52932, 53901, 52746, 51413, 54888, 51103, 52107, 51103, 52730, 51486, 54326, 51486, 51687, 51255, 51457, 50844, 51981, 50834, 52932, 50834, 54310, 50854, 51760, 54259, 51308, 51310, 51327, 50813, 53171, 50835, 51756, 55306, 51099, 51480, 51414, 50820, 52932, 50839, 52280, 55945, 51198, 51008, 51249, 50834, 52287, 50820, 52213, 72326, 51561, 51097, 51876, 51413, 52804, 51103, 53761, 50914, 51303, 51189, 51414, 50889, 51980, 51003, 51981, 51003, 52387, 58705, 51308, 50987, 70781, 50974, 52544, 50914, 53043, 50914, 54843, 50914, 51327, 50942, 51825, 50942, 52287, 50987, 52213, 72100, 53483, 52069, 53955, 51307, 52544, 51307, 54326, 52903, 58342, 51307, 55349, 51790, 51414, 51377, 52109, 51377, 51825, 51056, 52932, 50889, 52280, 51264, 50432, 51144, 71552, 51308, 51212, 62582, 53681, 51144, 51480, 50445, 56074, 51194, 50447, 55386, 50987, 50449, 52932, 52843, 51777, 51148, 61453, 51072, 51825, 59960, 51308, 51318, 62673, 50932, 56048, 64948, 53483, 52921, 51876, 51894, 55496, 51029, 52804, 51894, 53761, 51894, 54843, 51894, 53075, 51161, 51414, 51043, 51980, 51121, 51981, 51255, 52861, 51307, 50432, 51561, 51423, 50438, 51308, 74458, 51561, 51244, 62699, 55059, 55093, 52768, 51119, 51318, 56048, 50824, 53043, 51189, 51825, 50813, 50799, 62582, 57214, 51876, 69790, 53038, 51446, 52303, 51191, 51249, 51419, 51457, 51003, 50427, 58811, 51542, 52339, 51029, 50428, 51708, 51419, 50430, 51198, 64025, 51825, 76772, 54108, 51328, 52058, 50976, 50445, 51708, 58175, 52690, 51294, 51414, 50995, 51327, 50995, 51457, 50981, 51825, 50915, 50451, 51876, 51253, 53366, 51183, 51706, 51047, 52714, 51477, 51702, 51029, 50799, 52932, 62833, 51876, 52034, 50420, 52186, 51058, 52178, 52038, 51476, 51204, 51414, 51267, 51980, 51203, 50427, 51964, 51127, 52714, 51097, 51702, 53566, 51706, 51337, 51825, 59577, 51561, 51318, 51981, 67203, 54649, 50835, 51968, 54129, 52714, 50886, 51702, 60681, 54649, 50886, 51968, 52940, 51706, 51775, 52932, 50862, 54108, 51008, 52058, 63816, 55008, 50886, 51947, 52768, 53075, 51417, 51980, 51423, 51981, 51242, 52932, 51328, 54310, 51242, 50451, 52785, 51413, 50452, 58811, 51775, 52339, 51066, 50457, 51706, 50904, 50799, 51980, 51411, 52948, 51534, 52287, 51411, 53171, 51025, 50415, 51708, 51242, 55008, 51423, 51947, 51009, 50421, 51561, 54317, 53038, 51077, 52303, 50983, 51249, 51115, 51457, 51295, 51825, 51295, 50427, 51708, 51749, 50428, 51198, 51419, 50429, 51144, 76810, 58811, 50974, 50442, 52339, 52940, 54108, 51058, 52058, 50976, 50445, 51198, 59124, 52690, 50807, 51414, 50981, 51327, 50981, 51457, 51134, 51825, 51003, 50451, 53366, 51127, 54246, 50835, 52384, 62353, 54649, 50835, 52714, 51542, 51968, 50817, 51702, 51029, 50457, 51706, 51312, 51601, 51144, 60726, 52932, 50878, 50421, 51706, 50838, 52186, 51008, 52178, 53537, 51476, 51364, 51414, 51218, 51980, 51189, 51825, 51191, 52714, 51939, 51702, 51184, 50427, 51964, 50918, 50433, 51706, 51283, 50439, 51561, 75029, 51099, 57299, 52785, 51145, 53075, 51141, 51249, 51391, 51980, 51134, 50451, 51308, 51337, 50457, 51706, 50864, 51601, 51708, 51312, 51119, 51253, 50426, 52303, 50807, 51249, 51109, 51457, 51003, 54108, 51542, 52058, 51029, 50427, 51708, 50933, 53038, 51127, 50428, 51144, 51312, 50433, 51708, 56656, 51825, 62293, 51198, 50974, 50442, 52714, 51328, 51702, 50993, 50445, 51144, 57554, 52690, 51159, 51414, 50974, 51457, 50892, 51825, 50845, 52932, 71474, 53366, 51183, 51706, 51148, 52186, 51542, 52178, 68174, 51144, 51101, 68407, 50981, 51457, 50857, 54310, 53299, 51144, 51328, 52549, 50837, 54006, 60879, 51900, 51174, 52488, 52038, 51476, 51241, 51980, 51233, 51981, 50987, 52932, 50955, 53171, 78435, 51561, 51203, 51964, 51077, 51784, 51174, 52194, 60648, 52932, 62425, 51706, 51534, 52186, 51051, 52178, 53925, 52287, 50844, 52355, 50904, 52148, 59071, 51561, 51097, 50440, 52186, 50837, 52178, 54129, 52355, 50904, 52148, 60869, 52278, 50972, 51866, 52313, 51981, 63381, 51706, 53140, 53075, 51204, 51980, 51337, 51825, 51203, 52714, 51576, 51702, 67067, 51708, 51172, 52785, 51127, 50457, 51561, 51576, 50799, 51980, 50862, 54649, 51709, 51968, 60508, 51708, 51738, 50420, 51561, 51079, 50425, 54108, 54249, 52058, 52442, 50426, 54733, 51562, 55366, 51196, 54872, 50983, 51719, 51295, 51327, 51218, 50427, 52746, 51562, 50428, 51280, 51412, 50430, 51494, 57937, 54091, 51003, 50439, 51280, 51309, 50442, 51837, 52940, 52929, 50817, 52353, 57276, 51494, 60044, 53519, 52116, 54128, 51343, 52690, 50807, 51303, 51351, 51672, 51351, 52387, 51241, 50451, 51837, 50811, 52040, 51542, 53366, 51397, 50452, 52929, 50817, 51144, 51397, 50453, 52353, 51059, 50454, 53519, 51059, 51601, 52176, 51480, 50420, 51098, 50937, 50421, 51516, 50811, 52040, 51058, 50424, 51948, 51973, 51461, 51356, 53248, 50889, 51476, 50914, 51465, 51025, 50427, 51837, 50817, 51964, 51417, 51706, 51397, 50430, 51837, 58221, 52929, 59009, 51837, 50817, 51232, 51542, 50434, 51948, 62602, 51837, 60920, 51414, 50878, 65959, 51003, 50439, 51119, 54653, 51476, 63693, 51099, 53140, 51140, 50889, 53075, 51417, 51687, 51115, 51414, 51400, 54091, 50889, 50451, 51144, 51310, 52785, 51397, 50458, 51435, 60488, 51516, 50811, 50799, 57411, 51016, 52544, 53259, 51249, 50892, 50418, 51275, 59852, 51561, 69647, 51153, 52968, 51308, 51300, 52157, 51336, 52253, 51103, 52107, 51103, 53043, 51103, 52303, 50983, 51249, 51295, 51457, 51189, 50427, 53038, 51446, 58811, 51204, 50433, 51198, 51310, 50439, 51708, 51775, 50442, 57382, 61110, 54108, 59187, 51825, 76078, 52714, 58624, 53366, 51103, 51098, 51336, 52107, 51103, 54326, 51103, 52690, 50807, 51414, 51391, 51825, 51351, 50456, 51706, 51109, 62673, 60115, 52932, 50878, 50421, 51706, 50838, 52186, 56412, 51461, 51356, 53761, 51307, 52544, 51103, 54326, 51486, 51476, 51294, 51414, 50915, 51980, 51255, 50427, 51964, 51103, 50428, 54649, 55863, 52714, 59517, 51825, 50878, 50433, 51706, 77313, 54649, 56057, 51981, 64643, 52709, 50811, 51561, 51775, 54108, 58037, 54649, 60964, 53629, 50817, 54108, 54305, 52353, 50811, 52932, 65079, 51706, 51337, 55008, 68527, 51837, 52768, 51099, 51337, 52785, 51183, 67603, 52730, 50914, 53075, 51417, 51980, 51337, 51981, 51212, 52932, 51337, 54310, 51212, 50451, 51948, 51066, 58811, 66225, 51706, 50933, 79362, 51337, 57411, 50896, 54290, 50914, 53043, 50914, 54843, 50914, 51980, 50905, 52948, 50892, 52287, 50892, 53171, 50845, 55008, 51112, 50415, 51837, 78943, 51708, 64570, 52157, 51472, 52253, 51103, 52107, 51103, 52544, 51103, 53043, 51103, 52303, 50943, 51457, 51411, 51825, 51400, 51981, 51025, 52932, 51203, 50427, 53038, 51291, 50432, 51144, 51419, 50438, 51198, 51101, 58811, 60492, 51708, 51006, 57382, 57757, 54108, 55758, 51098, 51141, 52107, 51103, 52544, 51103, 54326 ]
[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 25, 5, 6922, 10320, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 20902, 27841, 139, 20889, 4, 20, 33215, 16739, 9, 2060, 119, 6, 230, 119, 1176, 406, 6, 274, 119, 1176, 406, 6, 8, 381, 3639, 41, 3722, 5581, 7, 5, 15229, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50643, 51279, 54089, 50431, 51315, 51264, 50446, 51027, 51291, 51809, 50997, 51397, 50428, 51027, 51380, 58296, 52195, 59758, 53241, 50455, 51279, 54300, 60212, 51315, 51562, 50440, 51027, 52392, 50457, 50916, 51054, 50458, 50871, 51235, 55753, 50899, 53890, 50916, 51735, 50436, 50900, 51121, 50443, 50899, 53241, 50447, 51279, 56736, 51809, 51315, 53363, 74769, 51446, 55895, 50980, 50451, 50899, 51173, 50461, 50997, 50897, 53069, 50900, 51030, 50421, 50997, 51221, 50430, 51027, 50940, 50436, 51027, 51551, 50442, 51279, 56094, 50460, 51315, 52536, 75695, 51027, 51274, 73227, 51354, 50861, 51505, 50456, 51027, 51397, 54852, 51354, 50916, 51460, 50423, 75973, 51315, 51381, 63174, 52311, 50916, 52369, 50437, 51279, 56300, 50455, 51315, 51692, 56020, 51027, 51496, 50433, 50861, 51286, 50899, 51012, 50440, 50900, 51073, 50916, 70390, 51027, 51336, 51315, 55197, 50456, 50871, 50976, 50899, 51012, 50461, 50916, 50893, 53069, 50899, 71587, 51315, 51852, 56248, 51184, 50431, 51279, 54484, 50449, 51315, 51896, 51809, 51027, 51896, 50427, 50899, 51500, 50861, 51238, 50445, 51315, 51312, 56415, 73725, 75817, 51027, 51309, 50460, 51315, 51380, 52478, 50916, 53751, 50302, 51054, 50423, 51279, 53090, 50430, 51027, 60318, 50892, 50440, 50916, 52097, 50997, 51552, 50441, 51315, 53363, 50457, 51027, 51896, 69341, 50899, 51932, 50900, 51735, 50437, 50997, 66479, 50900, 67636, 50997, 65371, 51026, 51177, 50460, 51027, 51196, 51809, 51279, 54300, 50434, 51315, 51161, 50449, 51027, 51141, 52177, 50916, 56030, 50968, 50910, 50441, 51220, 50882, 50452, 50968, 54194, 50999, 53241, 50796, 50430, 51279, 50858, 51315, 53668, 50877, 51472, 50997, 77464, 51291, 50457, 50965, 50952, 55753, 50999, 58216, 51147, 51091, 50431, 50965, 68434, 55544, 50899, 50873, 50443, 61196, 50449, 50968, 51058, 50454, 51315, 51535, 51176, 51477, 50455, 50899, 51318, 55753, 50968, 64651, 71714, 50876, 69587, 51028, 53936, 50320, 51033, 50445, 50900, 51452, 50968, 51346, 50876, 51238, 51027, 51452, 50916, 51452, 50452, 50973, 50892, 50460, 50876, 51238, 50968, 51175, 52591, 51050, 51377, 50973, 51194, 50428, 50877, 51212, 50436, 50973, 51058, 50442, 50877, 54356, 50968, 51364, 50877, 78704, 50983, 51027, 51218, 50916, 51189, 52177, 51120, 74134, 50925, 50436, 50876, 80031, 51050, 51591, 50877, 51591, 51234, 51145, 50871, 51623, 51809, 50902, 51212, 50439, 51279, 56094, 51028, 61908, 51427, 50452, 50906, 51244, 50456, 51315, 51680, 55746, 51027, 51218, 50877, 51343, 50444, 51315, 51419, 50456, 51027, 50915, 50460, 50899, 50866, 53069, 50916, 65599, 51315, 51097, 50434, 50916, 51285, 50899, 51661, 51279, 52045, 50453, 51315, 59631, 51027, 50866, 51809, 50899, 59991, 51315, 51417, 50425, 50871, 52827, 50997, 52097, 50437, 51027, 51362, 50448, 51315, 51742, 50452, 50997, 51101, 50459, 50899, 50866, 56310, 51294, 55902, 51552, 50421, 50900, 51300, 50425, 51279, 52045, 50442, 51315, 51103, 50448, 50900, 54752, 51027, 51291, 51809, 50877, 51761, 50899, 51059, 50425, 51315, 51204, 50436, 51027, 51551, 50441, 50899, 51060, 50447, 50916, 51354, 50449, 51315, 51381, 50461, 51279, 52570, 55694, 53531, 50308, 51745, 50424, 51315, 51448, 50430, 50899, 51460, 50877, 51226, 50441, 51027, 51115, 67655, 52370, 50304, 51460, 50456, 51315, 51183, 51601, 50997, 51603, 50871, 51054, 57025, 50889, 50430, 50916, 77756, 51315, 51116, 72785, 53318, 50302, 51379, 50447, 50916, 51460, 50456, 51315, 51101, 54206, 51541, 51026, 51167, 50424, 51315, 51400, 50430, 50916, 51454, 51027, 50911, 50446, 51315, 51790, 51601, 51027, 50932, 50416, 50877, 54819, 50968, 50866, 50425, 51220, 79612, 50968, 50925, 50440, 50999, 52311, 51601, 51279, 50952, 51315, 72068, 50861, 57547, 50899, 51025, 50876, 51233, 50442, 50965, 71765, 50877, 51006, 50454, 50999, 51173, 50459, 51147, 51362, 52177, 51040, 70961, 50800, 67563, 50428, 50931, 72021, 50968, 51101, 50439, 51176, 51448, 51315, 51127, 50899, 51127, 50454, 51028, 50967, 50968, 51060, 54960, 79490, 51028, 51030, 50422, 50968, 68418, 50900, 51742, 50968, 51025, 50876, 51238, 50916, 51742, 51027, 51742, 50438, 50973, 75029, 50876, 51345, 50968, 50991, 50453, 50973, 51337, 51050, 50981, 50461, 50877, 51043, 55753, 50973, 51277, 50427, 67663, 50433, 51027, 77464, 51294, 50434, 50968, 51541, 50871, 51745, 50449, 71774, 51120, 50925, 53069, 50876, 69596, 51050, 51790, 51234, 51452, 50877, 51336, 50424, 50871, 51336, 50446, 50902, 51215, 55753, 50902, 52545, 50317, 51541, 50422, 51279, 54484, 50434, 72421, 50439, 51315, 51417, 50457, 50877, 53177, 50301, 51294, 69341, 51315, 51134, 63809, 50845, 50442, 50916, 51294, 50899, 51294, 50453, 51315, 51419, 52177, 51279, 52903, 50916, 51364, 50899, 51189, 50430, 51315, 51101, 50435, 51027, 51238, 50448, 51315, 50905, 50452, 50916, 51552, 50899, 51496, 57551, 51025, 50422, 51027, 51286, 50435, 51315, 50978, 59419, 50924, 57428, 50924, 50448, 50877, 50879, 50454, 62873, 50460, 50968, 51573, 50877, 51552, 50916, 51091, 51027, 51091, 50796, 50449, 50876, 51310, 50899, 51310, 50861, 51310, 50968, 51391, 51050, 51742, 51234, 51742, 50796, 50436, 50916, 50866, 50442, 50871, 67636, 50877, 50893, 50452, 62926, 50458, 50968, 51573, 50871, 51343, 50877, 51274, 50459, 50916, 51091, 51027, 51189, 50796, 79472, 52071, 50861, 52071, 50876, 52071, 50899, 51662, 50447, 51234, 51662, 51050, 51677, 50796, 51601, 50999, 51226, 50902, 51294, 50931, 51362, 50877, 51091, 50416, 50906, 51091, 50430, 50951, 50948, 50431, 50871, 65835, 50931, 58229, 50999, 50991, 50454, 50906, 51233, 50871, 51363, 50902, 51233, 50931, 51242, 50455, 50997, 51742, 50796, 50430, 50877, 51212, 51028, 51242, 50951, 65064, 64233, 50987, 50453, 50871, 51397, 50876, 51448, 50968, 51310, 50877, 51448, 50454, 50900, 51318, 50916, 51310, 50796, 67964, 51291, 50968, 51291, 51120, 51080, 50916, 51417, 50445, 50871, 50983, 51027, 51183, 79254, 50877, 50987, 50433, 50968, 66326, 51220, 51021, 50451, 68319, 50455, 50999, 52311, 50796, 50430, 51279, 50821, 51315, 51033, 50447, 50861, 51157, 63830, 50899, 51160, 50458, 50965, 50854, 54852, 51058, 50422, 50999, 63750, 51147, 51343, 50432, 67563, 77206, 51040, 50948, 50443, 50931, 66372, 50968, 50991, 50454, 51176, 51115, 51315, 51141, 50899, 50795, 52177, 75099, 50421, 51028, 51175, 50422, 50968, 51175, 50429, 50876, 80223, 67243, 50968, 73048, 50900, 51790, 50916, 51103, 50968, 51345, 51027, 51452, 50876, 51235, 50453, 50973, 50892, 50460, 50876, 51175, 50968, 51215, 52591, 50973, 51177, 51050, 51312, 50427, 79276, 50435, 50973, 51177, 50441, 50877, 51077, 50449, 50968, 51573, 50871, 51745, 50916, 51364, 51027, 50983, 51120, 51291, 51601, 70427, 65281, 54123, 50877, 63656, 51103, 50439, 51234, 51145, 51050, 51452, 57731, 50902, 50923, 50434, 51028, 61908, 50975, 51279, 54089, 76495, 50918, 50451, 51315, 50918, 52591, 50877, 51029, 51027, 51294, 50436, 51315, 51191, 50448, 51027, 50865, 50452, 50916, 51505, 50459, 66432, 51601, 51027, 50924, 53337, 50896, 50427, 51279, 51685, 57428, 53194, 50301, 50983, 50445, 50916, 51541, 50458, 50899, 51237, 55753, 51234, 51527, 50428, 50916, 51932, 50439, 50997, 50849, 50443, 50871, 59164, 50916, 60278, 50899, 51175, 50460, 50916, 51138, 51809, 51315, 57368, 51841, 56731, 50871, 51090, 50433, 51176, 51191 ]
[ 0, 713, 14899, 5175, 2214, 11, 83, 538, 22750, 1626, 11098, 8, 1313, 1007, 149, 63, 20902, 34879, 4, 20, 326, 5638, 18026, 8, 20535, 2810, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 3459, 9590, 6, 21072, 6, 8, 2382, 3459, 8669, 4, 590, 10, 1769, 20889, 8, 10, 23317, 155, 73, 306, 86, 6543, 6, 24, 18, 10, 24897, 15229, 14, 18, 686, 7, 836, 10, 6675, 7, 110, 652, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 69827, 50791, 51693, 51544, 51693, 50434, 71325, 51468, 50437, 61767, 63380, 50799, 51390, 50811, 56433, 50883, 52564, 50880, 51762, 50417, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 56299, 51229, 50811, 56433, 50883, 53302, 53939, 51390, 50811, 56357, 50880, 51762, 50429, 51390, 50811, 55678, 51864, 53670, 51590, 50811, 56433, 50883, 52564, 56486, 51229, 50811, 56357, 53294, 51390, 50811, 56357, 50880, 51762, 50441, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 55551, 51390, 50823, 56357, 54411, 56433, 50880, 52564, 50880, 51762, 50453, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 57521, 56433, 50883, 53302, 50883, 50799, 51390, 50811, 55678, 50883, 53191, 50880, 51762, 50417, 51390, 50811, 58674, 51864, 53738, 51590, 50817, 56357, 56299, 51229, 50811, 55678, 50883, 52564, 53939, 51390, 50817, 58674, 50880, 51762, 50429, 51390, 50811, 56357, 51864, 53670, 51229, 50817, 55678, 50883, 53191, 55135, 51229, 50811, 58674, 53294, 51390, 50811, 58674, 50880, 51762, 50441, 51924, 50811, 55678, 50883, 52564, 51041, 53384, 53076, 50811, 58674, 56312, 52700, 50811, 58674, 54411, 55678, 50883, 53191, 50880, 51762, 50453, 58674, 51041, 53556, 58674, 57521, 55678, 50883, 53191, 50883, 50799, 51390, 50811, 56433, 50883, 52564, 50880, 51762, 50417, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 55133, 51229, 50811, 56433, 50883, 53302, 53087, 51390, 50811, 56357, 50880, 51762, 50429, 51390, 50811, 56357, 51041, 53670, 51590, 50811, 56433, 50883, 52564, 55135, 51229, 50811, 56357, 53294, 51390, 50811, 56357, 50880, 51762, 50441, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 56312, 51390, 50811, 56357, 54411, 56433, 50883, 52564, 50880, 51762, 50453, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 57521, 51229, 50811, 56433, 50883, 53302, 50883, 50799, 51390, 50817, 55678, 50883, 53191, 50880, 51762, 50417, 51390, 50811, 58674, 51864, 53738, 51590, 50811, 56357, 56299, 51229, 50811, 55678, 50883, 52564, 53939, 51390, 50811, 58674, 50880, 51762, 50429, 51390, 50811, 56357, 51864, 53670, 51590, 50811, 55678, 50880, 53191, 55135, 51229, 50811, 58674, 55531, 60281, 50816, 52600, 51776, 50890, 51866, 50809, 51390, 50811, 58674, 55531, 55757, 52578, 50895, 52698, 50818, 51924, 50811, 55678, 50883, 52564, 53675, 51888, 50890, 52384, 50809, 53076, 50811, 58674, 53412, 55551, 51648, 50890, 52058, 50809, 52700, 50811, 58674, 55531, 53711, 51888, 50890, 52384, 50809, 55678, 50883, 53191, 58215, 52578, 50890, 52698, 50809, 58674, 53412, 53563, 51776, 50890, 51866, 50809, 58674, 50385, 54936, 61765, 52002, 50890, 52148, 53793, 55678, 50883, 53191, 64032, 50846, 50799, 52991, 50893, 52002, 51173, 52148, 51060, 52488, 50795, 51390, 50811, 50927, 51486, 56433, 50883, 52564, 53662, 51041, 57900, 64371, 55138, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 56299, 51229, 50811, 56433, 50883, 53302, 57919, 52639, 51390, 50811, 56357, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 55678, 51864, 53670, 51590, 50811, 56433, 50883, 52564, 53662, 57893, 53908, 51229, 50811, 56357, 57893, 52600, 51390, 50811, 56357, 50880, 73011, 54704, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 55551, 51390, 50823, 56357, 57919, 52725, 51205, 51110, 56433, 50880, 52564, 53662, 51041, 54763, 69979, 55079, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 53662, 57893, 54359, 50964, 51486, 56433, 50883, 53302, 57893, 50820, 50799, 51390, 50811, 55678, 50883, 53191, 50880, 73011, 55138, 51390, 50811, 58674, 51864, 53738, 51590, 50817, 56357, 55206, 53109, 51229, 50811, 55678, 50883, 52564, 57919, 52639, 51390, 50817, 58674, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 56357, 51864, 53670, 51229, 50817, 55678, 50883, 53191, 54162, 57893, 53908, 51229, 50811, 58674, 57893, 52600, 51390, 50811, 58674, 50880, 73011, 54704, 51924, 50811, 55678, 50883, 52564, 51041, 53384, 53076, 50811, 58674, 56312, 52700, 50811, 58674, 57919, 52725, 51069, 51159, 55678, 50883, 53191, 53662, 51041, 54763, 69979, 55079, 58674, 51041, 53556, 58674, 53662, 57893, 54359, 55678, 50883, 53191, 57893, 50820, 50799, 52991, 51227, 52488, 51112, 51390, 50811, 50927, 51486, 56433, 50883, 52564, 50880, 73011, 55138, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 52586, 53109, 51229, 50811, 56433, 50883, 53302, 55767, 52639, 51390, 50811, 56357, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 56357, 51041, 53670, 51590, 50811, 56433, 50883, 52564, 54162, 57893, 53908, 51229, 50811, 56357, 57893, 52600, 51390, 50811, 56357, 50880, 73011, 54704, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 56312, 51390, 50811, 56357, 57919, 52725, 51205, 51110, 56433, 50883, 52564, 53662, 51041, 54763, 69979, 55079, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 53662, 57893, 54359, 51229, 50811, 50964, 51894, 56433, 50883, 53302, 57893, 50820, 50799, 52306, 50890, 52194, 50809, 51390, 50817, 55678, 50883, 53191, 50880, 73011, 55138, 51390, 50811, 58674, 51864, 53738, 52306, 50895, 52194, 50818, 51590, 50811, 56357, 55206, 55983, 52002, 51356, 52148, 50918, 50423, 51229, 50811, 55678, 50883, 52564, 57919, 52639, 51390, 50811, 58674, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 56357, 51864, 53670, 51590, 50811, 55678, 50880, 53191, 54162, 57893, 53908, 51229, 50811, 58674, 58534, 52600, 51390, 50811, 58674, 50880, 73011, 54704, 51924, 50811, 55678, 50883, 52564, 51041, 53384, 53076, 50811, 58674, 55551, 52700, 50811, 58674, 57919, 52725, 51069, 51159, 55678, 50883, 53191, 53662, 51041, 54763, 69979, 57150, 52578, 50895, 52698, 53545, 51776, 50890, 51866, 50809, 58674, 51041, 53556, 52002, 50890, 52148, 50809, 58674, 53662, 57893, 56399, 53170, 50890, 53084, 53793, 55678, 50883, 53191, 57893, 50820, 50799, 52002, 56736, 53170, 56736, 52991, 56736, 52148, 53520, 53084, 53520, 52488, 53520, 50927, 54153, 56357, 52500, 52564, 52500, 52631, 52500, 67779, 50369, 53746, 56868, 52578, 56736, 52698, 53520, 50417, 53257, 53744, 53257, 52639, 53257, 55212, 53257, 53908, 53257, 52600, 53257, 53675, 53257, 53711, 53257, 54944, 53257, 54359, 53257, 50820, 50799, 53257, 56092, 53257, 53744, 53257, 52639, 53257, 55212, 53257, 53908, 53257, 52600, 53257, 53675, 53257, 53711, 53257, 54944, 53257, 54359, 53257, 50820, 50799, 51268, 69015, 73120, 50890, 50927, 51124, 57770, 57900, 55785, 54121, 50820, 51921, 50891, 52906, 51949, 54121, 53744, 51268, 69015, 73120, 55960, 52100, 52966, 51069, 50897, 57770, 51877, 54763, 69979, 50846, 78910, 51268, 69015, 73120, 50890, 51205, 58162, 53934, 51949, 54966, 53908, 51268, 69015, 73120, 53616, 56689, 52600, 50927, 51124, 57770, 51877, 54121, 50820, 76465, 51268, 69015, 73120, 56034, 51949, 54121, 54028, 50816, 52100, 52846, 66482, 57770, 51877, 54763, 69979, 55079, 51268, 69015, 73120, 53616, 53556, 51019, 58162, 53934, 51949, 54966, 50820, 52215, 56689, 50820, 79361, 69015, 50890, 51385, 50890, 51069, 51124, 57770, 51877, 54121, 50820, 51921, 50891, 52906, 51949, 54121, 53744, 51089, 69015, 50890, 51385, 55960, 52100, 52966, 70092, 57770, 51877, 54763, 69979, 57286, 51888, 50890, 52384, 50809, 78910, 52002, 50890, 52148, 71760, 69015, 50890 ]
[ 0, 713, 17627, 17274, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 16, 10, 15352, 30054, 8, 20425, 15229, 4, 25837, 2987, 30, 10, 11739, 9, 13305, 6, 30587, 8, 81, 9756, 29589, 6, 8, 4246, 10, 2842, 9, 1076, 560, 31365, 25999, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 2125, 16, 17407, 30, 10, 33215, 13931, 9, 381, 6, 163, 6, 83, 6, 381, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50791, 50803, 51544, 50858, 64614, 50811, 57471, 50811, 51382, 60370, 50804, 50811, 52198, 50803, 50799, 52331, 50894, 51726, 68708, 51998, 51027, 62385, 50823, 51844, 52466, 53025, 55267, 51407, 50422, 51404, 50911, 51323, 50924, 52331, 50962, 51726, 50359, 50826, 50305, 52717, 50301, 76073, 50894, 51844, 52968, 52331, 50894, 51990, 50359, 50842, 50301, 51045, 51040, 50359, 50842, 50310, 63069, 51844, 52865, 54972, 55996, 52331, 50930, 51726, 79983, 52717, 50305, 52717, 50308, 50930, 51844, 52952, 51404, 51573, 51323, 51226, 52331, 50821, 51726, 51045, 51027, 50950, 51040, 50950, 50916, 50950, 51844, 52466, 54972, 59116, 52331, 51010, 51726, 55084, 51027, 52640, 50305, 52640, 50308, 50962, 51844, 52768, 52331, 51014, 51990, 50359, 50842, 50301, 51045, 51040, 74139, 50310, 50802, 51844, 52865, 54972, 56575, 52331, 50890, 51726, 52717, 50301, 52717, 50305, 52717, 50308, 50962, 51844, 50811, 50799, 52331, 50882, 51726, 50950, 51027, 52717, 50305, 76073, 50894, 51844, 52466, 54328, 57646, 51404, 50923, 51323, 51021, 52331, 50894, 51726, 50811, 51027, 52717, 50305, 52640, 50308, 50962, 51844, 52968, 52331, 51014, 51990, 50360, 50842, 50301, 51045, 50989, 50860, 51844, 52865, 54972, 56861, 52331, 50890, 51726, 52717, 50301, 52717, 50305, 52717, 50308, 50962, 51844, 52057, 51404, 51573, 51323, 51226, 52331, 51014, 51726, 51998, 51027, 50894, 51040, 51014, 50916, 51014, 51844, 52466, 54328, 59116, 52331, 50894, 51726, 53819, 50301, 52236, 50305, 52640, 50308, 50880, 51844, 52768, 52331, 51033, 51990, 75306, 50301, 50950, 51040, 74139, 50310, 50860, 51844, 52865, 54972, 56575, 52331, 50930, 51726, 79983, 52640, 50305, 52717, 50308, 50930, 51844, 50811, 50799, 52331, 50882, 51726, 53106, 51027, 50950, 51040, 71157, 51045, 51844, 52466, 54328, 57646, 63051, 51323, 50879, 52331, 50962, 51726, 52717, 50301, 52640, 50305, 52640, 50308, 50930, 51844, 52968, 52331, 50894, 51990, 56373, 51027, 50950, 51040, 58576, 50989, 50860, 51844, 53451, 54972, 56861, 52331, 50880, 51726, 52236, 50301, 52236, 50305, 52640, 50308, 50930, 51844, 52952, 51404, 51541, 51323, 51294, 52331, 51014, 51726, 51045, 51027, 51045, 51040, 62385, 50823, 51844, 53236, 54328, 57915, 52331, 50930, 51726, 52717, 50301, 52640, 50305, 76200, 50930, 51844, 52768, 52331, 50823, 51990, 50359, 50842, 50301, 50894, 51040, 74139, 50310, 57826, 51844, 51779, 53025, 56575, 52331, 50880, 51726, 52640, 50305, 68549, 79983, 50858, 51844, 50811, 50799, 52331, 50894, 51726, 53106, 51040, 73233, 51014, 50916, 53106, 51844, 51520, 54328, 58026, 51404, 50911, 51323, 50879, 52331, 50962, 51726, 52717, 50301, 52640, 50305, 52717, 50308, 50894, 51844, 52968, 52331, 51014, 51990, 58576, 51027, 50940, 50989, 50823, 51844, 52865, 52001, 56861, 51726, 50930, 52331, 52640, 50305, 50942, 70489, 51027, 50901, 51844, 52057, 51404, 51362, 51323, 51091, 52331, 50882, 51726, 50950, 50968, 72501, 50809, 51844, 52466, 54328, 60295, 50968, 75676, 68787, 52331, 50962, 51726, 50811, 50968, 50949, 50999, 50930, 51844, 52279, 52768, 52331, 50894, 51990, 75306, 50320, 52611, 65608, 51844, 52865, 59154, 50968, 50359, 50826, 50325, 58150, 52331, 50930, 51726, 50894, 52376, 66273, 69680, 50325, 55003, 51844, 52279, 50823, 50799, 52331, 50894, 51726, 68708, 69680, 50308, 50359, 50826, 50301, 50950, 51844, 52466, 54328, 57639, 68904, 51667, 63541, 63051, 51323, 50879, 52331, 50890, 51726, 52717, 50301, 52640, 50305, 52717, 50308, 50962, 51844, 54381, 51667, 52038, 52331, 50882, 51990, 58961, 51027, 52717, 50305, 53819, 50308, 53819, 50310, 59641, 51844, 53451, 53025, 56861, 52331, 50890, 51726, 50962, 51667, 50823, 51040, 52640, 50308, 50930, 51844, 52952, 51404, 51016, 70710, 52331, 50882, 51726, 50803, 52376, 50975, 50916, 79983, 50894, 51040, 50894, 51844, 53236, 54328, 57915, 52331, 50880, 51726, 52717, 50301, 52236, 50305, 52717, 50308, 50930, 51844, 52768, 52331, 50921, 51990, 75306, 50301, 79619, 51045, 51844, 52865, 53025, 58614, 52376, 56575, 52331, 50890, 51726, 50962, 52376, 50811, 51027, 52236, 50305, 52640, 50308, 50962, 51844, 50811, 50799, 52331, 50882, 51726, 50803, 51667, 77188, 50894, 51040, 50950, 50916, 50950, 51844, 52466, 54328, 57646, 51404, 50948, 51323, 50924, 52331, 50930, 51726, 50962, 51667, 50811, 51027, 52236, 50305, 52640, 50308, 50930, 51844, 52968, 52331, 51014, 51990, 54691, 51667, 77188, 51014, 51040, 53106, 50989, 53106, 51844, 52865, 54972, 57485, 52331, 50880, 51726, 50962, 52376, 51059, 51027, 52236, 50305, 52717, 50308, 50930, 51844, 52952, 51404, 51661, 51323, 51472, 52331, 50882, 51726, 73233, 52640, 50305, 76073, 50950, 51844, 52466, 54328, 57915, 52331, 50930, 51726, 52717, 50301, 52640, 50305, 52640, 50308, 50962, 51844, 52768, 52331, 51033, 51990, 72464, 51027, 51045, 51040, 53106, 50989, 50860, 51844, 52865, 54972, 58150, 52331, 50890, 51726, 50890, 52376, 73233, 52640, 50305, 52640, 50308, 50930, 51844, 50811, 50799, 51726, 50894, 52331, 50894, 51667, 77188, 50882, 51040, 76073, 50894, 51844, 52466, 54328, 58026, 51404, 50924, 51323, 50865, 52331, 50880, 51726, 50880, 51667, 50811, 51027, 52640, 50305, 52640, 50308, 50962, 51844, 51973, 52331, 51033, 51990, 57826, 51667, 77188, 50950, 51040, 53106, 50989, 50823, 51844, 52865, 54972, 56861, 52331, 50890, 51726, 50880, 51667, 68708, 50949, 51027, 52717, 50308, 50930, 51844, 52952, 51404, 51362, 51323, 51294, 52331, 50821, 51726, 50894, 52376, 62075, 50894, 51040, 76073, 50882, 51844, 52466, 52001, 59116, 52331, 50880, 51726, 52717, 50301, 52640, 50305, 52717, 50308, 50962, 51844, 55059, 52376, 52568, 52331, 51033, 51990, 54691, 52376, 77188, 51014, 50989, 51138, 51844, 52865, 54972, 58150, 51726, 50880, 52331, 50890, 52376, 50811, 51027, 52640, 50305, 52717, 50308, 50962, 51844, 50811, 50799, 52331, 50882, 51726, 50950, 51667, 77188, 50882, 51040, 76073, 50894, 51844, 52466, 52001, 58026, 51404, 51192, 51323, 51060, 51726, 50930, 52331, 50962, 51667, 50811, 51027, 52236, 50305, 52640, 50308, 50930, 51844, 52968, 52331, 51014, 51990, 65330, 51667, 77188, 79619, 51045, 51844, 52865, 54972, 56861, 52331, 50880, 51726, 50930, 52376, 51029, 51027, 52236, 50305, 52640, 50308, 50962, 51844, 52057, 51404, 51362, 51323, 51091, 52331, 50894, 51726, 50894, 51027, 50882, 51040, 76073, 50950, 51844, 52466, 52001, 59116, 52331, 50930, 51726, 52717, 50301, 51879, 50305, 76200, 50882, 51844, 52116, 52331, 50894, 51990, 50359, 50397, 51027, 51014, 51844, 52865, 54972, 56575, 52331, 50803, 51726, 50894, 52376, 73233, 51879, 50305, 76200, 50880, 67306, 77274, 50803, 51265, 50821, 51667, 50817, 51667, 50976, 50899, 53819, 50310, 70463, 50962, 51181, 52466, 54328, 60449, 51188, 51173, 51323, 51158, 51265, 51010, 51482, 52640, 50306, 53819, 50310, 61539, 50930, 51181, 52968, 51482, 51045, 51545, 55084, 51667, 72114, 79619, 50803, 65293, 51181, 52865, 54972, 55996, 51482, 50880, 51265, 50811, 51667, 68126, 78397, 70463, 50930, 51181, 52952, 51188, 51294, 51323, 51294, 51482, 50882, 51265, 50823, 52376, 78567, 67587, 50950, 72859, 51181, 52466, 54972, 57915, 51482, 70341, 52717, 50306, 80197, 53819, 50313, 50962, 51181, 52768, 51482, 51014, 51545, 50976, 52376, 79977, 51998, 74789, 50989, 50823, 51181, 52865, 54972, 58150, 51482, 50880, 51265 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 2125, 19, 15855, 16882, 6, 4246, 21072, 6, 3152, 6757, 6, 13305, 6, 8, 3459, 29589, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 1328, 63, 9712, 5933, 4, 20, 16331, 33215, 16739, 9, 1918, 8, 211, 406, 31473, 10, 1472, 9, 30234, 6, 150, 5, 1374, 6711, 7630, 6568, 6453, 9, 11098, 6, 10563, 6, 8, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50438, 51981, 71492, 51825, 54803, 51457, 54385, 51981, 62174, 51825, 76888, 53001, 50825, 50799, 52287, 51060, 51171, 51134, 58285, 59504, 76878, 52468, 51679, 51451, 51108, 51256, 51097, 51229, 51679, 50420, 53171, 52382, 50426, 51478, 51492, 53763, 50432, 51332, 51623, 51037, 51790, 50979, 51591, 50847, 51742, 53046, 51742, 52000, 51680, 51772, 51803, 51209, 52783, 52320, 50864, 51453, 51210, 62870, 51134, 79062, 76878, 51007, 51134, 52000, 51679, 51322, 51679, 51229, 51679, 51390, 51679, 51544, 62050, 50946, 51452, 50868, 51452, 50847, 51452, 51007, 51452, 51664, 52168, 51366, 52168, 51209, 52168, 51390, 52168, 50438, 52109, 51286, 51981, 59791, 51327, 64860, 51414, 52201, 77219, 51231, 55163, 50971, 76675, 50917, 51171, 51134, 58285, 59504, 76878, 52468, 51679, 51451, 51108, 51256, 51097, 51229, 51679, 50420, 51981, 51977, 51544, 54150, 51332, 51623, 51037, 51790, 50979, 51591, 50847, 51742, 53046, 51742, 52000, 51680, 51772, 51803, 51209, 52783, 50450, 51249, 50901, 52558, 50456, 51327, 54042, 50984, 50799, 51981, 51121, 51037, 51134, 79062, 76878, 51007, 51134, 52000, 51679, 51322, 51679, 51229, 51679, 51390, 51679, 50420, 51327, 71662, 51249, 57629, 51981, 51100, 61814, 51327, 50977, 50946, 51452, 50868, 51452, 50847, 51452, 51007, 51452, 51664, 52168, 51366, 52168, 51209, 52168, 51390, 52168, 52365, 54248, 52365, 53442, 51231, 50879, 52365, 55933, 51249, 50879, 51898, 51138, 60671, 54754, 50830, 51913, 64077, 51485, 50952, 57350, 50938, 52705, 51122, 51010, 51648, 50952, 50453, 51224, 53650, 54595, 50859, 51509, 53841, 50387, 53183, 50880, 51713, 50859, 52288, 51204, 52334, 51505, 52067, 50975, 51993, 57169, 50948, 51340, 52054, 50374, 56424, 51380, 51683, 51286, 52002, 59216, 51303, 50854, 51249, 50812, 51327, 50822, 50872, 60303, 50867, 59178, 51509, 50921, 53689, 50948, 51633, 57321, 51049, 50925, 51236, 51121, 78012, 51913, 50806, 51713, 57359, 69741, 53808, 51173, 51579, 51505, 52113, 50806, 52219, 51102, 60789, 50604, 50827, 52310, 50923, 51776, 51505, 56107, 66914, 51033, 54407, 53779, 51679, 50444, 51303, 73879, 50833, 51327, 50925, 50872, 58434, 64705, 50867, 51485, 50923, 57929, 51192, 52135, 51173, 51170, 50838, 52103, 50923, 51648, 50923, 51899, 52153, 50959, 51240, 55641, 56838, 51509, 51483, 53689, 51500, 51633, 51379, 51240, 61350, 51123, 51913, 51653, 51713, 51483, 53596, 65221, 55968, 50942, 53779, 73318, 52102, 50862, 51303, 50867, 51249, 50857, 51327, 50813, 69411, 51829, 65451, 58243, 61937, 50813, 51694, 51049, 50955, 51236, 50977, 50913, 55100, 52102, 51790, 51465, 51452, 51231, 51742, 51327, 51452, 51069, 50867, 51676, 51452, 51829, 51452, 50868, 51183, 50847, 51244, 50909, 51145, 51577, 51102, 51365, 53231, 52691, 51069, 68113, 55043, 50977, 53779, 51961, 50444, 53689, 50811, 51485, 50890, 51667, 66204, 52192, 52103, 50859, 51648, 54755, 54595, 50930, 51431, 50930, 51667, 52390, 52189, 50937, 51240, 67224, 50984, 52851, 50859, 51683, 61702, 53689, 50880, 51485, 50890, 52135, 50821, 52103, 50854, 51648, 54663, 51011, 50904, 52334, 50950, 79430, 51633, 51033, 51240, 50972, 50913, 51524, 51913, 50858, 51713, 50803, 52288, 51204, 52334, 50911, 52067, 50795, 51993, 65426, 56214, 50910, 53779, 50932, 51683, 51505, 52002, 50795, 52306, 57487, 53808, 50806, 51579, 50795, 52113, 50911, 52310, 50937, 51776, 50795, 53170, 68907, 51303, 50854, 51249, 50812, 51327, 50822, 57896, 55119, 59178, 53689, 50879, 51509, 51060, 51633, 65678, 55417, 62862, 69046, 50984, 51913, 50936, 51713, 51060, 52002, 52309, 69741, 51579, 51192, 53808, 51175, 52113, 51286, 52219, 51102, 51524, 53231, 50827, 52310, 51500, 51776, 51192, 53170, 51167, 56107, 66914, 55043, 50977, 53779, 51961, 50444, 51303, 73879, 50833, 51327, 50925, 50872, 58434, 50857, 59178, 57929, 51173, 51485, 51286, 52135, 51192, 51170, 51737, 52103, 51175, 51648, 51286, 51713, 51505, 51899, 52153, 73893, 51008, 50913, 55346, 53689, 51573, 51509, 50983, 51633, 51573, 51240, 51884, 50913, 51862, 51913, 51343, 51713, 50983, 52002, 51496, 53596, 65221, 54444, 50897, 53779, 73318, 52102, 50862, 51303, 50867, 51249, 50857, 51327, 50813, 69411, 51829, 65451, 57955, 57511, 53803, 53689, 50806, 51485, 51121, 52135, 77065, 52189, 50897, 51236, 50917, 50913, 51022, 52103, 51100, 51648, 51121, 51713, 70756, 52102, 51790, 51465, 51452, 51231, 51742, 51327, 51452, 51069, 50867, 51676, 51452, 51829, 51452, 50868, 51148, 50847, 51148, 50909, 51397, 54595, 50893, 51431, 51121, 51667, 50805, 52219, 51102, 52179, 53231, 50827, 52851, 50901, 51683, 50873, 51888, 59894, 51069, 51189, 51898, 51173, 57350, 51427, 51831, 51060, 55313, 50910, 53779, 51542, 52664, 51167, 51913, 51173, 51683, 55186, 50816, 50942, 51170, 51254, 51899, 51508, 50910, 51240, 64099, 56773, 51011, 71402, 50978, 50913, 51269, 76675, 51097, 51457, 50995, 51825, 51283, 50927, 68393, 50948, 51340, 52054, 50374, 56424, 78804, 52753, 50887, 51855, 58521, 50810, 56105, 50909, 56758, 51049, 50925, 51236, 51121, 50913, 55100, 51231, 53577, 51327, 51637, 51818, 50983, 69741, 52088, 50879, 52219, 51102, 60789, 50604, 52788, 50964, 51291, 51813, 76010, 51033, 54407, 53779, 51679, 50444, 52088, 67981, 50810, 56105, 50909, 64400, 50838, 51899, 52153, 50959, 51240, 55641, 56838, 51249, 52441, 51457, 52136, 51825, 51314, 51855, 51454, 51240, 61350, 51123, 53596, 65221, 55968, 50942, 53779, 73318, 52088, 50948, 51694, 51049, 50955, 51236, 50977, 50913, 55100, 51231, 51878, 52109, 51314, 51818, 51148, 51069, 50867, 51813, 51364, 51577, 51102, 51365, 53231, 52691, 51069, 68113, 55043, 50977, 53779, 51961, 50444, 51170, 52192, 51899, 52189, 50937, 51240, 67224, 56838, 51011, 71402, 50972, 50913, 51524, 76675, 51333, 51327, 51662, 51825, 51679, 50927, 51204, 77644, 50909, 51191, 51257, 58307, 56214, 50910, 53779, 54869, 51855, 50948, 51007, 53228, 55417, 62862, 69046, 55238, 51231, 52136, 51818, 51148, 69741, 52077, 50901, 52219, 51102, 51524, 53231, 52788, 50964, 51291, 51882, 51111, 58570, 50847, 63725, 54436, 55043, 50977, 53779, 51961, 50444, 52077, 51110, 76881, 63725, 61944, 51737, 50450, 51855, 52108, 52153, 73893, 51008, 50913, 55346, 51303, 52598, 51414, 52263, 51457, 52598, 51813, 51159, 51240, 51884, 50913, 51862, 53596, 65221, 54444, 50897, 53779, 73318, 52088, 50940, 51694, 52189, 50897, 51236, 50917, 50913, 55011, 51465, 52407, 51249, 51448, 52109, 51397, 51069, 50867, 51855, 51285, 52219, 51102, 52179, 53231, 52788, 51069, 51189, 55313, 50910, 53779, 51542, 50444, 51170, 51254, 51899, 51508, 50910, 51240, 64099, 56773, 51011, 71402, 50978, 50913, 51269, 76675, 51961, 51457, 52441, 51825, 51965, 50927, 68393, 50948, 51340, 50792, 50605, 78804, 51855, 56674, 50810, 56105, 50909, 56758, 51049, 50925, 51236, 51121, 50913, 55100, 51231, 52136, 51327, 51627, 51818, 51477, 69741, 52088, 50806, 52219, 51102, 60789, 50604, 52788, 50964, 51291, 51813, 74039, 51033, 54407, 53779, 51679, 50444, 52088, 51227, 50872, 50810, 56105, 50909, 64400, 50838, 51899, 52153, 50959, 51240, 55641, 56838, 51249, 52519, 51457, 51637, 51825, 51244, 51855, 51055, 51240, 61350, 51123, 53596, 65221, 55968, 50942, 53779, 73318, 52088, 51048, 51694, 51049, 50955, 51236, 50977, 50913, 55100, 51231, 51878, 52109, 51115, 51818, 51535, 51069, 50867 ]
[ 0, 4688, 20425, 8, 15352, 30054, 3152, 8, 5175, 24904, 1349, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 1769, 20889, 9, 19376, 163, 5683, 4, 2306, 9756, 29589, 6, 21072, 6, 13305, 6, 8, 2003, 38704, 31365, 25999, 1305, 5, 2214, 556, 6, 150, 12577, 12167, 2369, 3038, 1606, 41, 7152, 10619, 4, 20, 6711, 25935, 1626, 227, 2933, 8, 1372, 6, 19, 10, 11602, 9, 980, 219, 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 ]	[ 58402, 64906, 52024, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 57314, 51453, 50805, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 76375, 50852, 56151, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 57314, 51453, 50805, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 76375, 50852, 56151, 50799, 61092, 51654, 57314, 51039, 52483, 61092, 53769, 57314, 51361, 52446, 61092, 51654, 57314, 51180, 52596, 61092, 51654, 76375, 56293, 54881, 50805, 51528, 71510, 56293, 52201, 52483, 56293, 51654, 76374, 56293, 52201, 52446, 56293, 51654, 57314, 51180, 52596, 56381, 53769, 76375, 50852, 56151, 50799, 62423, 50805, 56167, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 56167, 53769, 76374, 62423, 52201, 52446, 62423, 50805, 56167, 51654, 76464, 62423, 77504, 62423, 50805, 56167, 51654, 76375, 62423, 50805, 56293, 54881, 50805, 50799, 67060, 51654, 71510, 67060, 50805, 56293, 52201, 52483, 67060, 50805, 56293, 51654, 76374, 67060, 50805, 56293, 52201, 52446, 67060, 50805, 56293, 51654, 76464, 67060, 77504, 67060, 50805, 56381, 53769, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 50805, 61092, 50805, 64906, 52024, 50798, 55385, 60100, 52483, 60100, 50805, 61092, 53769, 55112, 60100, 52446, 60100, 50805, 61092, 51654, 55480, 60100, 52596, 60100, 50805, 61092, 51654, 55069, 60100, 50805, 56293, 50889, 50799, 60100, 51654, 55385, 60100, 50805, 56293, 52483, 60100, 50805, 56293, 51654, 55112, 60100, 50805, 56293, 52446, 60100, 50805, 56293, 51654, 55480, 60100, 52596, 57755, 50805, 61092, 53769, 55069, 53441, 50805, 50799, 62423, 50805, 56167, 51654, 55385, 62423, 52483, 62423, 50805, 56167, 53769, 55112, 62423, 52446, 62423, 50805, 56167, 51654, 55480, 62423, 52596, 62423, 50805, 56167, 51654, 55069, 62423, 50805, 56293, 50889, 50799, 67060, 51654, 55385, 67060, 50805, 56293, 52483, 67060, 50805, 56293, 51654, 55112, 67060, 50805, 56293, 52446, 67060, 50805, 56293, 51654, 55480, 67060, 52596, 67060, 50805, 56381, 53769, 55069, 67060, 50805, 50799, 53483, 51141, 61616, 58673, 50889, 52389, 55112, 51847, 51141, 51450, 55082, 51494, 57394, 50889, 50799, 61616, 58673, 55385, 51119, 51991, 52389, 50889, 51450, 55082, 50798, 50889, 50799, 53483, 51141, 61616, 58673, 50889, 52389, 55112, 51847, 51141, 51450, 55082, 51512, 57394, 50889, 50799, 61616, 58673, 55385, 51494, 51991, 52389, 50889, 51450, 55082, 50798, 50889, 50799, 53483, 51141, 61616, 53769, 54243, 61616, 51654, 55112, 51847, 68499, 61616, 51654, 55480, 61616, 52741, 51494, 51141, 61616, 59103, 50889, 50799, 61616, 53769, 55385, 51119, 51991, 50426, 61616, 76287, 64317, 53912, 56293, 51116, 50447, 60985, 66313, 56293, 50805, 50799, 69757, 69757, 77795, 77795, 51823, 50805, 51823, 50805, 60100, 50805, 53483, 51141, 60985, 51654, 69834, 58454, 50889, 53440, 53066, 69757, 77795, 51823, 50805, 78612, 51943, 50889, 51823, 50889, 60100, 50805, 59441, 51077, 50843, 54347, 50843, 52654, 69757, 77795, 51823, 50805, 60100, 52504, 52409, 52001, 70673, 50889, 53764, 52658, 69757, 69757, 77795, 77795, 51823, 50805, 51823, 50805, 60100, 50805, 51847, 51141, 50843, 54112, 50843, 52729, 56718, 69885, 75121, 74187, 75503, 51323, 50889, 53441, 51654, 69834, 70673, 50889, 54268, 53103, 56718, 69885, 75121, 53441, 55185, 54803, 50843, 52843, 56718, 56718, 69885, 69885, 75121, 75121, 53441, 50805, 51494, 53090, 50816, 52409, 52001, 70673, 50889, 54710, 52863, 56718, 56718, 69885, 69885, 75121, 75121, 53441, 55185, 54678, 50843, 50810, 50799, 64030, 57300, 64606, 51200, 71685, 62423, 51654, 69834, 58454, 50889 ]
[ 0, 250, 20902, 3495, 12, 9144, 2214, 14, 22750, 1626, 11098, 8, 10563, 6, 4246, 21979, 8, 3459, 29589, 6, 13305, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 19446, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 15352, 30054, 15229, 6, 278, 11, 5, 762, 9, 230, 538, 6, 24536, 10, 33215, 13931, 9, 1918, 6, 230, 406, 6, 211, 119, 6, 274, 119, 1176, 406, 6, 8, 272, 401, 6, 1271, 7, 63, 17627, 17274, 2365, 8, 1619, 12, 14694, 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 ]	[ 54458, 50799, 51468, 55057, 53569, 50843, 51258, 51899, 52942, 63820, 50801, 50828, 52894, 51204, 50946, 51932, 50872, 51541, 50885, 51541, 53760, 51241, 57372, 70567, 51294, 50876, 51226, 62810, 59756, 51920, 52767, 51132, 57954, 51500, 50946, 51735, 50872, 51566, 53760, 55937, 68344, 51710, 50325, 50924, 54908, 51346, 51915, 51377, 76066, 50861, 71676, 60021, 51042, 71305, 50980, 59431, 50871, 51573, 50931, 51343, 50450, 51416, 57680, 50940, 51915, 59451, 55019, 53137, 50946, 51552, 50872, 52097, 54468, 51091, 52331, 51191, 57372, 78751, 51226, 51028, 51294, 62810, 56949, 53498, 52818, 51349, 59157, 51066, 51017, 51345, 50872, 51290, 52331, 55944, 71306, 51710, 50325, 50924, 63706, 51056, 51726, 51109, 50856, 63484, 50940, 74242, 58463, 55868, 66191, 71142, 52369, 50931, 51941, 50450, 52474, 63296, 51033, 51726, 59451, 52990, 53217, 50848, 51300, 50872, 51196, 54983, 51091, 51037, 51932, 52447, 51191, 58135, 52712, 51037, 62283, 52893, 52767, 51526, 51112, 51037, 51735, 50848, 51566, 50872, 51048, 52447, 70013, 53442, 66904, 50997, 50975, 50951, 51388, 51081, 51388, 50444, 51349, 50917, 50946, 50911, 52331, 66699, 61312, 51027, 51175, 50931, 51158, 50999, 69323, 51526, 50917, 51037, 50923, 52447, 63305, 53498, 58686, 50997, 51379, 50951, 51173, 51081, 52931, 51910, 67045, 50860, 53180, 50892, 54920, 51294, 50988, 51603, 50868, 51541, 50885, 51894, 51915, 51204, 50816, 52893, 73355, 52282, 50968, 52282, 50951, 52282, 51062, 52282, 50423, 50816, 52712, 50988, 63250, 52265, 51416, 50977, 50988, 51336, 50868, 52282, 51915, 69237, 50820, 54908, 51111, 51915, 51121, 51206, 54715, 53641, 51684, 50849, 51482, 50901, 51206, 53617, 57297, 52474, 51121, 51726, 51101, 61289, 50835, 71596, 50915, 52832, 51221, 50885, 51160, 50946, 51364, 79274, 51425, 50807, 62273, 50839, 52399, 52992, 51667, 50991, 61781, 55359, 53063, 52584, 56729, 51227, 50946, 51189, 50872, 51218, 51425, 50879, 64234, 57352, 51652, 50897, 54908, 51423, 51915, 51178, 74264, 51831, 51110, 50885, 50897, 69443, 52802, 51416, 51312, 50885, 51235, 50946, 51056, 76158, 51915, 51157, 54680, 61250, 54103, 51391, 58201, 50837, 54468, 51003, 51017, 51227, 50946, 51295, 50868, 51364, 52331, 51013, 71280, 52399, 52641, 51667, 50897, 51017, 50878, 55605, 52417, 51349, 50901, 51652, 51162, 51017, 51345, 50946, 51218, 50868, 51141, 52331, 50879, 61651, 50835, 63706, 51043, 51726, 50967, 76924, 51831, 50915, 51017, 50866, 61651, 52772, 52474, 55077, 50925, 50946, 51109, 51017, 51048, 51726, 52108, 51041, 52920, 52585, 50972, 52191, 50845, 68637, 50870, 57958, 51241, 50872, 51073, 50848, 51141, 50850, 51343, 51482, 51226, 52453, 50834, 52399, 52917, 59458, 55605, 53063, 51684, 51056, 51667, 50890, 61375, 66552, 73484, 51482, 51290, 66717, 52621, 51667, 50893, 76924, 51684, 51006, 51721, 50809, 59305, 51482, 50977, 61651, 52846, 51349, 50845, 51667, 50890, 69385, 50872, 51073, 77644, 52331, 50879, 55605, 52920, 51181, 50972, 51643, 51285, 56223, 57290, 50837, 52894, 51380, 50979, 51048, 50885, 51189, 75707, 53760, 51056, 52321, 50834, 52399, 52917, 51132, 51470, 50979, 50866, 53760, 50978, 55605, 53063, 51416, 51400, 51721, 50940, 66552, 50979, 51346, 50885, 51218, 51915, 51345, 64234, 52742, 51667, 50879, 76924, 52584, 51058, 51652, 50925, 78134, 71896, 66717, 52805, 51416, 50937, 51831, 51221, 67386, 50979, 65292, 50889, 51915, 50948, 55605, 53017, 51910, 67678, 50910, 67759, 53180, 50849, 78826, 50829, 54983, 51241, 51652, 51343, 50872, 76800, 51141, 50939, 51364, 52447, 51362, 52321, 50834, 52399, 52872, 61523, 54680, 59651, 51831, 56799, 51526, 56204, 51157, 50848, 51295, 50939, 51189, 52447, 50879, 69443, 52766, 51132, 51542, 51831, 51141, 53760, 51241, 61974, 60942, 64234, 52743, 60893, 50872, 51227, 50939, 51623, 55605, 53017, 51349, 55711, 50897, 52331, 59964, 50835, 54983, 51419, 50848, 51218, 50872, 51189, 52447, 51191, 51897, 50834, 52399, 52641, 52457, 50897, 54680, 52953, 51526, 51400, 52457, 50952, 50939, 50952, 73484, 50848, 51189, 52447, 51345, 64234, 52621, 52457, 50924, 76924, 51349, 50845, 52376, 50940, 61395, 52331, 50879, 64234, 52743, 51526, 50972, 51831, 50948, 61325, 50872, 51227, 50939, 51290, 52447, 50901, 56319, 53137, 51910, 50866, 61995, 53180, 50865, 65043, 50825, 54920, 50914, 51667, 51496, 50885, 51048, 50988, 51189, 50868, 51496, 51915, 50896, 52321, 50829, 52399, 52976, 67386, 55605, 52953, 51416, 50938, 51652, 50897, 50885, 51227, 50988, 51189, 50868, 51358, 51915, 51030, 69443, 52766, 51137, 50915, 51652, 51285, 54117, 50807, 51471, 58463, 50977, 61651, 52763, 63919, 50885, 50924, 56319, 53017, 51137, 50977, 50988, 79502, 50938, 54117, 58786, 50834, 54920, 51391, 50885, 51345, 50988, 51189, 50868, 51141, 51915, 51204, 63970, 53405, 50816, 52928, 50885, 56466, 56171, 52376, 51388, 50432, 51416, 58310, 50938, 50988, 56291, 50943, 51915, 53757, 53294, 51137, 51109, 52457, 51215, 74102, 50885, 50938, 54117, 68629, 54586, 75732, 50885, 66608, 52504, 56385, 51640, 51380, 54103, 50967, 50885, 51033, 50988, 50948, 63060, 62422, 70229, 50949, 54706, 55891, 50988, 51030, 50885, 78784, 51030, 51326, 50828, 52894, 51003, 52832, 51354, 50885, 51500, 50946, 51362, 50872, 51343, 53760, 51013, 52321, 57112, 50895, 52399, 52992, 51667, 51932, 77922, 55359, 53063, 51132, 55109, 50980, 50946, 51091, 79274, 53760, 50893, 64234, 50834, 54908, 51411, 51652, 50940, 51915, 51346, 74264, 51831, 51160, 67693, 69443, 52802, 51416, 51377, 50885, 51500, 50946, 51073, 50872, 51048, 51915, 51227, 54680, 53268, 50843, 59044, 54103, 51191, 54468, 51003, 51017, 51290, 50946, 51189, 50868, 51496, 52331, 51013, 71280, 52399, 52641, 51667, 50980, 51017, 50959, 55605, 55477, 51652, 52975, 51349, 62361, 51345, 50946, 78775, 51364, 52331, 50879, 61651, 50835, 63706, 51221, 51652, 50952, 51726, 51235, 76924, 51831, 50943, 51017, 50959, 61651, 52772, 52474, 50937, 51017, 50938, 50946, 55905, 50974, 51726, 50948, 53659, 52920, 52585, 50987, 50868, 50952, 50946, 50924, 51017, 50948, 52191, 50938, 68637, 50870, 57958, 51091, 50848, 51055, 50946, 50983, 79274, 51482, 51745, 52453, 50834, 52399, 52917, 61375, 55605, 53063, 51349, 50967, 51667, 61631, 51238, 50946, 51189, 50872, 51141, 52331, 51354, 66717, 52621, 51667, 50923, 76924, 51349, 50865, 51721, 50859, 59081, 52331, 51021, 61651, 52846, 51684, 50910, 51667, 50880, 74241, 59379, 50872, 51377, 51482, 51033, 55605, 52920, 51137, 50917, 51643, 51496, 50946, 50959, 59081, 54117, 63556, 50837, 52894, 51204, 50979, 50991, 50885, 51191, 50850, 51364, 53760, 51541, 52321, 50834, 52399, 52917, 51721, 51345, 50979, 51058, 55605, 53063, 51416, 72092, 51345, 50885, 51091, 50850, 51661, 51915, 51483, 64234, 52742, 51667, 51021, 76924, 52584, 50937, 51652, 50897, 50979, 51218, 51425, 50948, 66717, 52805, 51416, 50938, 51831, 50967, 50885, 50807, 51915, 51030, 55605, 53017, 51910, 59590, 51173, 53180, 50936, 78826, 50829, 54983, 50807, 51652, 51573, 50848, 50980, 51037, 50983, 50872, 51343, 52447, 51237, 52321, 50834, 52399, 52872, 59081, 54680, 59651, 51831, 53627, 51526, 50830, 50848, 50980, 51037, 50983, 79274, 52447, 51014, 69443, 57405, 51831, 51661, 57097, 50942, 53760, 50952, 61974, 51132, 51221, 67102, 53760, 51160, 64234, 52743, 51037, 50878, 50848 ]
[ 0, 250, 182, 765, 37903, 9, 15855, 8, 5175, 930, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 182, 1769, 20889, 9, 8963, 13410, 228, 2289, 6, 7630, 14805, 10, 25306, 6, 2933, 6, 8, 9066, 6711, 19, 10, 881, 21263, 9, 5, 163, 43531, 1176, 406, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 51001, 54869, 50951, 54498, 50931, 54980, 50906, 50932, 57923, 54869, 51001, 54498, 51001, 54980, 50902, 53581, 50876, 50838, 55694, 54177, 50876, 52688, 50902, 53052, 51001, 52718, 51001, 53624, 51001, 54980, 50902, 56109, 51001, 50932, 55746, 50951, 55665, 50931, 54498, 50906, 56350, 51001, 52985, 51001, 53581, 51001, 50932, 52591, 50902, 52688, 50876, 53052, 50906, 52718, 50876, 53624, 50902, 52985, 51001, 53581, 51001, 50932, 52591, 51001, 55665, 50902, 56350, 51001, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 24, 1575, 10, 5544, 14123, 24943, 217, 10, 20535, 483, 6, 3459, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 10, 16141, 486, 118, 9877, 483, 4, 20, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 272, 6, 1918, 6, 230, 6, 272, 6, 8, 274, 6, 8216, 7, 63, 15352, 30054, 8, 17627, 17274, 5466, 6, 150, 67, 7630, 14805, 10, 1472, 9, 2635, 12, 20764, 6, 177, 12, 3341, 9733, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 74080, 77873, 51438, 55656, 51788, 56626, 55543, 56180, 51316, 51381, 61777, 57940, 51788, 55514, 51438, 57131, 61777, 50933, 68892, 51381, 62364, 61378, 51788, 55656, 51438, 56626, 62364, 56180, 51076, 51381, 53568, 57940, 51563, 55514, 51067, 57131, 53568, 50933, 50799, 51064, 51680, 51788, 61378, 51438, 55656, 51067, 56626, 51438, 51484, 50444, 51788, 55514, 51438, 57131, 51067, 50933, 69146, 50933, 51032, 50933, 67349, 50933, 57761, 51627, 51067, 50933, 61167, 55656, 51067, 51627, 61167, 51627, 50444, 50960, 64043, 50947, 52989, 51064, 57131, 79504, 61894, 51381, 61167, 51381, 57894, 53233, 55496, 51680, 55775, 51680, 50420, 51067, 55656, 51438, 56626, 51788, 56180, 51316, 51381, 61777, 50933, 50725, 50305, 51381, 50444, 51788, 55514, 51438, 57131, 61777, 50933, 68892, 51381, 62364, 50933, 55093, 51680, 55496, 51680, 50420, 51788, 55656, 51438, 56626, 62364, 56180, 51076, 51381, 53568, 50933, 56783, 51381, 50444, 51563, 55514, 51067, 57131, 53568, 50933, 50799, 51064, 51680, 51788, 50933, 73407, 51680, 62582, 51680, 55093, 51680, 55496, 51680, 50420, 51438, 55656, 51067, 56626, 51438, 51484, 50444, 51788, 55514, 51438, 57131, 51067, 50933, 69146, 50933, 51032, 50933, 61167, 50933, 56048, 50933, 56547, 50933, 55693, 50933, 57761, 50933, 51067, 50933, 61167, 51080, 55093, 51080, 55496, 51080, 55775, 62666, 50960, 51627, 51067, 51627, 50450, 50960, 57131, 71590, 66474, 51381, 62582, 51381, 56048, 51381, 55496, 51381, 55775, 77873, 50947, 55656, 51032, 56626, 51788, 56180, 50929, 51381, 53568, 50933, 56783, 51381, 55093, 51381, 55693, 51381, 62611, 51381, 50444, 51563, 55514, 51067, 57131, 53568, 50933, 50799, 51064, 51381, 51788, 50933, 61453, 51381, 55496, 51309, 57822, 51309, 56326, 70152, 51438, 55656, 51067, 50933, 55093, 50933, 55693, 50933, 56126, 56626, 51788, 50933, 57822, 56180, 50960, 51309, 51292, 50827, 57894, 51309, 55093, 51309, 55496, 51309, 55775, 51309, 50441, 51438, 53524, 51067, 55514, 50960, 57131, 71590, 69335, 50933, 56048, 50933, 55693, 50933, 57822, 50933, 66474, 51381, 51438, 50933, 62582, 51381, 56048, 51381, 55775, 51381, 56126, 77873, 51032, 55656, 50947, 56626, 51438, 56180, 50986, 51381, 53729, 50933, 69335, 51381, 56048, 51381, 55693, 51381, 56126, 51381, 50444, 51292, 55514, 51032, 57131, 53729, 50933, 60938, 50933, 73075, 51563, 51006, 53729, 50827, 56783, 50933, 56547, 50933, 55693, 50933, 56126, 50933, 50417, 53568, 54202, 65423, 51067, 50933, 51563, 50933, 53568, 50933, 56783, 50933, 55093, 50933, 62611, 50933, 56326, 55656, 50929, 51627, 51067, 51627, 51563, 51627, 53568, 51627, 56783, 51627, 55093, 51627, 62611, 51627, 56326, 51627, 50450, 50960, 57131, 71590, 66474, 51381, 62582, 51309, 56048, 51309, 55496, 51309, 55775, 70152, 50947, 55656, 51032, 50933, 62582, 50933, 55496, 50933, 55775, 50933, 56326, 56626, 51438, 50933, 62582, 50933, 56547, 50933, 55775, 50933, 56126, 56180, 50929, 51381, 53568, 50933, 56783, 50933, 56547, 50933, 55693, 50933, 56126, 57940, 51563, 50933, 56783, 50933, 55093, 50933, 55693, 50933, 62611, 55514, 51067, 50933, 56783, 51309, 56048, 50933, 55496, 50933, 55775, 57131, 53568, 50933, 61356, 50933, 55093, 50933, 55693, 50933, 50799, 51064, 51381, 51788, 50933, 61453, 51309, 55496, 51309, 57822, 51309, 56326, 70152, 51438, 55656, 51067, 50933, 61453, 50933, 55693, 50933, 57822, 50933, 56326, 56626, 51788, 50933, 56048, 50933, 55693, 50933, 56126, 50933, 60060, 56180, 50960, 51043, 51292, 50827, 55093, 51309, 55775, 51309, 56326, 51309, 61557, 51309, 50441, 51438, 54394, 51067, 55514, 50960, 57131, 71590, 60588, 50933, 66474, 51381, 62582, 51381, 55496, 51381, 56126, 51381, 61557, 77873, 50947, 55656, 51032, 56626, 51438, 56180, 50929, 51381, 56783, 51381, 55093, 51381, 62611, 51381, 60588, 51381, 50444, 51067, 55514, 51563, 57131, 53568, 50933, 50799, 51064, 50933, 51067, 50933, 51438, 50933, 51788, 50933, 57894, 50933, 55496, 50933, 55775, 50933, 56126, 61378, 51064, 50933, 51067, 50933, 51438, 50933, 51788, 50933, 61453, 50933, 55496, 50933, 57822, 50933, 56326, 55656, 51064, 51627, 51067, 51627, 51438, 51627, 51788, 51627, 61453, 51381, 55496, 51627, 57822, 51627, 56326, 51627, 50450, 53446, 57131, 53048, 50933, 50799, 53050, 51309, 51067, 51381, 61167, 77873, 51438, 55656, 53048, 50933, 51788, 56626, 53446, 50864, 55543, 65153, 53048, 64025, 51316, 51381, 61777, 50933, 50725, 50305, 51381, 50444, 51788, 55514, 51438, 72921, 53446, 53176, 61777, 65897, 53048, 50827, 50799, 53050, 50933, 51032, 51381, 62364, 50933, 67349, 77873, 52869, 50838, 51788, 55656, 52869, 50933, 51438, 56626, 53050, 50933, 62364, 56180, 53048, 50838, 51076, 51381, 53568, 50933, 50725, 50303, 72379, 53446, 50933, 51563, 55514, 53050, 50933, 51067, 57131, 52869, 50933, 53568, 50933, 50799, 53428, 51309, 51064, 51680, 51788, 50933, 73407, 51680, 50420, 51563, 55656, 52869, 50933, 51067, 56626, 53050, 50933, 51438, 79891, 53048, 57940, 53446, 50932, 51788, 55514, 51438, 57131, 51067, 62908, 53698, 50864, 50799, 53698, 50933, 71590, 51032, 50933, 51292, 50933, 67349, 61378, 53446, 51283, 72810, 51067, 50933, 51438, 50933, 61167, 55656, 50960, 51627, 51067, 51627, 51438, 51627, 61167, 51627, 50450, 53446, 57131, 53048, 50933, 50799, 53050, 51309, 51067, 51381, 61167, 51381, 57894, 51680, 55496, 51680, 55775, 51680, 50420, 51438, 55656, 53048, 50933, 51788, 56626, 53446, 50864, 55543, 65153, 53048, 64025, 51316, 51381, 61777, 50933, 50725, 50305, 51381, 50444, 51788, 55514, 51438, 72921, 53048, 53176, 61777, 65897, 53048, 50827, 50799, 53050, 51309, 51032, 51381, 62364, 50933, 67349, 51381, 57894, 51381, 55093, 51680, 55496, 51680, 50420, 51788, 55656, 52869, 50933, 51438, 56626, 53050, 50933, 62364, 56180, 53048, 50827, 51076, 51381, 53568, 50933, 50725, 50303, 51309, 56783, 51381, 50441, 53446, 56350, 51563, 55514, 51067, 72921, 53050, 53176, 53568, 65897, 52869, 50827, 50799, 53428, 51309, 51064, 51680, 51788, 50933, 73407, 51680, 62582, 51680, 55093, 51680, 55496, 51680, 50420, 51438, 55656, 52869, 50933, 51067, 56626, 53050, 50933, 51438, 79891, 53048, 72379, 51788, 55514, 53446, 50933, 51438, 57131, 53698, 50933, 51067, 50933, 50799, 53698, 50933, 71590, 51032, 50933, 51292, 50933, 67349, 50933, 56048, 50933, 56547, 50933, 55693, 61378, 53446, 50838, 72810, 51067, 50933, 51438, 50933, 61167, 50933, 55093, 50933, 55496, 50933, 55775, 55656, 53446, 51680, 50960, 51627, 51067, 51627, 51438, 51627, 61167, 51627, 55093, 51627, 55496, 51627, 55775, 51627, 66474, 51381, 62582, 77873, 50947, 55656, 53050, 50838, 51032, 56626, 53428, 50838, 51438, 56180, 52869, 51381, 50929, 51381, 53568, 50933, 56783, 51381, 50444, 51563, 55514, 51067, 57131, 51563, 50933, 50799, 52869, 50932, 51064, 51080, 51788, 50933, 56783, 77873, 51438, 55656, 52869, 50827, 51067, 71707, 53050, 50827, 62582, 53998, 53048, 50838, 51788, 50933, 69335, 56180, 53050, 50838, 51292, 50827, 62582, 51309, 50441, 51438, 53524, 53446, 50933, 51067, 71320, 53446, 50933, 50960, 57131, 53048, 50933, 71590, 56783, 50933, 50799, 53050, 50838, 50970, 51381, 51788, 50933, 57894, 77873, 52869, 50933, 51032, 55656, 53428, 50933, 51438, 56626, 52869, 50933, 51788, 56180, 52869, 50838, 50986, 51381, 53729, 50933, 56783, 51381, 50444, 53050 ]
[ 0, 250, 20902, 3495, 1619, 2214, 11, 230, 538, 6, 4246, 10, 856, 17993, 483, 7513, 30, 3459, 29589, 6, 9590, 6, 8, 18558, 4, 590, 10, 1372, 8, 33558, 6711, 6, 24, 3136, 23, 10, 27841, 139, 20889, 11, 204, 73, 306, 86, 6, 511, 10, 33215, 13931, 9, 274, 6, 230, 6, 274, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50639, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 50799, 51815, 51650, 53989, 54605, 51616, 70547, 57395, 51616, 62876, 52927, 51815, 52504, 53569, 51616, 51174, 58809, 54189, 51616, 70547, 56663, 51815, 52504, 53173, 51616, 51337, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 50799, 51815, 51650, 53989, 54605, 51616, 70547, 57395, 51616, 62876, 52927, 51815, 52504, 53569, 51616, 51174, 58809, 54189, 51616, 70547, 56663, 51815, 52504, 53173, 51616, 51337, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 61652, 61969, 79831, 50799, 51815, 51650, 53989, 53576, 51616, 59386, 51616, 61724, 52818, 51815, 52446, 51616, 69655, 51616, 60333, 51815, 52732, 53137, 51616, 51051, 66844, 59288, 51815, 52483, 51616, 51174, 50843, 52818, 51616, 58946, 51763, 58709, 54322, 54947, 52047, 65220, 60374, 50816, 53003, 51763, 55182, 53759, 55423, 54322, 55162, 52047, 50978, 52354, 51191, 50872, 56011, 50866, 51815, 51650, 53989, 53796, 66834, 57392, 58056, 50420, 50850, 56144, 51006, 51616, 70547, 56402, 53356, 62039, 66552, 51616, 50972, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51815, 52504, 53796, 53569, 50964, 51191, 50872, 56011, 50866, 51616, 51174, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51616, 70547, 56402, 53421, 62039, 66552, 51815, 52108, 51239, 57399, 50909, 57939, 50850, 56144, 51006, 51616, 70547, 53796, 50982, 52354, 50943, 50872, 56011, 50866, 51616, 50972, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51815, 52504, 56402, 53356, 62039, 66552, 51616, 51174, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51616, 70547, 53796, 53569, 50964, 68931, 56011, 50866, 52159, 53530, 53989, 53796, 57477, 58056, 50441, 51282, 53086, 50850, 56144, 51006, 51118, 63305, 56402, 53421, 62039, 66552, 51083, 50938, 58413, 57399, 50909, 57939, 50850, 56144, 51006, 51118, 66610, 53796, 50982, 52354, 51241, 50872, 56011, 50866, 51815, 50795, 51256, 51151, 51451, 53142, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51616, 70547, 56402, 53356, 62039, 66552, 51616, 50972, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51815, 52504, 53796, 50982, 53357, 51159, 50872, 56011, 50866, 51616, 51174, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51616, 63445, 56402, 53421, 62039, 66552, 51616, 51166, 58413, 57399, 50909, 57939, 50945, 63752, 56144, 51006, 51616, 60162, 53796, 61969, 51451, 51878, 51366, 51397, 52534, 51351, 50868, 56238, 50866, 51763, 50892, 58809, 53796, 57392, 58056, 50420, 50847, 60046, 51006, 52047, 56466, 56402, 53356, 66581, 62486, 51282, 57652, 51239, 57334, 50909, 58466, 50847, 60046, 51006, 51401, 51365, 50816, 53796, 61562, 51451, 52829, 53357, 51116, 50872, 56011, 50866, 51616, 51562, 51256, 52122, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 64946, 56402, 53421, 50927, 50977, 62039, 66552, 58413, 57399, 50909, 57939, 50964, 50977, 50850, 56144, 64946, 53796, 50982, 52354, 51191, 50872, 56011, 50866, 51815, 50795, 55553, 50873, 74077, 50905, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51616, 51051, 59888, 51254, 55233, 64946, 56402, 53356, 62039, 66552, 51616, 50972, 59888, 51079, 55233, 50974, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51815, 50805, 74077, 50974, 55553, 57353, 53796, 53569, 50964, 51191, 50872, 56011, 50866, 51616, 51174, 55233, 51058, 59888, 51254, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51616, 51051, 55233, 51058, 59888, 68394, 56402, 53421, 62039, 66552, 51815, 50795, 74077, 50905, 55553, 57652, 51239, 57399, 50909, 57939, 50850, 56144, 51006, 51616, 51051, 55233, 51006, 59888, 68394, 53796, 50982, 52354, 50943, 50872, 56011, 50866, 51616, 50972, 55233, 50974, 59888, 51079, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51815, 50805, 74077, 50905, 55553, 57353, 56402, 53356, 62039, 66552, 51616, 51174, 55233, 51058, 59888, 51254, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51616, 51051, 55233, 51058, 59888, 68394, 53796, 53569, 50964, 68931, 56011, 50866, 52159, 50833, 70731, 53530, 53989, 53796, 57477, 58056, 50441, 69211, 55233, 53086, 50850, 56144, 51006, 51118, 50977, 53587, 63305, 56402, 53421, 62039, 66552, 51083, 50938, 53081, 50938, 58413, 57399, 50909, 57939, 50850, 56144, 51006, 51282, 50987, 55233, 66610, 53796, 50982, 52354, 51241, 50872, 56011, 50866, 51061, 50938, 51256, 51151, 51451, 52335, 54291, 50938, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51118, 51074, 53587, 77212, 56402, 53356, 62039, 66552, 71830, 53081, 56099, 51239, 57334, 50909, 58466, 50850, 56144, 51006, 51282, 51074, 55233, 77212, 53796, 50982, 53357, 51116, 50872, 56011, 50866, 51118, 50901, 53587, 50901, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51083, 51006, 53081, 64946, 56402, 53421, 51069, 50977, 62039, 66552, 52159, 50873, 70731, 57652, 51239, 57399, 50909, 57939, 51096, 50977, 50850, 56144, 51006, 51282, 51074, 55233, 77212, 53796, 61969, 51451, 52263, 51366, 51397, 52534, 51255, 50868, 56238, 50866, 51118, 50845, 53587, 50845, 58809, 53796, 57392, 58056, 50420, 50847, 60046, 51006, 51083, 51254, 53081, 68394, 56402, 53356, 50964, 51255, 66581, 62486, 52159, 50845, 70731, 56466, 51239, 57334, 50909, 58466, 50847, 60046, 51006, 51401, 51074, 55553, 77212, 53796, 61562, 51451, 52204, 53357, 51241, 50872, 56011, 50866, 51616, 51115, 51256, 52122, 59888, 51115, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 64946, 56402, 53421, 62039, 66552, 58413, 57399, 50909, 57939, 50850, 56144, 64946, 53796, 50982, 52534, 51241, 50872, 56011, 50866, 74077, 50905, 55553, 50873, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 55233, 51006, 59888, 68394, 56402, 53356, 62039, 66552, 55233, 50974, 59888, 51079, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51118, 50977, 55553, 50901, 74077, 63097, 53796, 50982, 53357, 50977, 50872, 56011, 50866, 51282, 51432, 55233, 51058, 59888, 51254, 58809, 53796, 57477, 58056, 50444, 63635, 50850, 56144, 51006, 51118, 50955, 55233, 51058, 59888, 68394, 56402, 53421, 50964, 51255, 62039, 66552, 51083, 50901, 74077, 50905, 55553, 57652, 51239, 57399, 50909, 57939, 50850, 56144, 51006, 51282, 51022, 55233, 51006, 59888, 68394, 53796, 50982, 52288, 51255, 50872, 56011, 50866, 51118, 51423, 51061, 50889, 55233, 50974, 59888, 51079, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51993, 51364, 74077, 50905, 55553, 57353, 51467, 53356, 51019, 51255, 62039, 66552, 51118, 50838, 55233, 51058, 59888, 68394, 53934, 50891, 67577, 58466, 50850, 56144, 51006, 51282, 51128, 59888, 51254, 55233, 67041, 53115, 50945, 51191, 50872, 56011, 50866, 51993, 51238, 58809, 53796, 66834, 58751, 50909, 55040, 50850, 56144, 64946, 56402, 53421, 76068 ]
[ 0, 250, 8787, 11057, 15229, 11, 12608, 538, 6, 42, 15352, 30054, 2125, 1931, 21683, 10, 12298, 1619, 4780, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 41, 21979, 9590, 6, 8669, 6, 326, 5638, 18026, 6, 8, 6755, 12547, 6, 70, 11491, 13871, 561, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 20, 16331, 33215, 16739, 9, 274, 119, 406, 6, 163, 428, 406, 6, 8, 12608, 401, 31473, 10, 1472, 9, 30234, 1328, 5, 2125, 6, 150, 5, 1374, 6711, 16, 65, 9, 11098, 8, 5823, 6, 442, 24, 41, 5631, 3618, 1349, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50442, 50634, 51528, 54553, 64176, 50424, 51702, 50824, 51768, 62445, 51556, 50907, 51450, 59280, 50439, 51866, 51021, 51955, 51373, 58974, 52377, 51505, 74263, 50460, 52178, 51285, 55970, 51047, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 68594, 51556, 55707, 51261, 78711, 59280, 50439, 52194, 60919, 51317, 50822, 51207, 51210, 50903, 51373, 60142, 54006, 50976, 50459, 76497, 51916, 76519, 53397, 51732, 56451, 51115, 50900, 51314, 79173, 50965, 51314, 51001, 51314, 56889, 51504, 50984, 50986, 59904, 51373, 54378, 51150, 53330, 55707, 51868, 51148, 51086, 51314, 79173, 50906, 51314, 51001, 51314, 50951, 74744, 59280, 50450, 51311, 50984, 50970, 53948, 59280, 74263, 53788, 51183, 50997, 51314, 50956, 51314, 50861, 51314, 50876, 51314, 56889, 51246, 50984, 51136, 59904, 68594, 51556, 54584, 51140, 51448, 50900, 51703, 50871, 52212, 50931, 74188, 65642, 50439, 50956, 51314, 50440, 50877, 54557, 78202, 67647, 51136, 62290, 76579, 50459, 51668, 54791, 50851, 54204, 51310, 51176, 51449, 50997, 51449, 51040, 51449, 50871, 73506, 65642, 50423, 51702, 75190, 51846, 50984, 51317, 59904, 51589, 54112, 51261, 50977, 53978, 60116, 51477, 51866, 56562, 59280, 50450, 52377, 51483, 51317, 50822, 51846, 51210, 50903, 51373, 54678, 51140, 50874, 52178, 51196, 53673, 55970, 51535, 51040, 51449, 50871, 51449, 50861, 51449, 50906, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 51589, 59662, 51261, 50901, 51556, 55707, 51930, 54788, 59280, 50439, 52194, 61409, 51261, 55178, 51560, 51159, 51317, 50822, 51207, 51210, 50903, 51373, 58974, 54006, 51095, 74263, 50460, 53397, 51196, 56451, 51103, 50900, 51449, 50871, 51449, 50965, 51449, 51001, 73506, 59280, 50426, 51504, 50984, 50986, 59904, 51589, 69636, 51022, 51450, 59280, 50439, 51560, 51562, 54006, 72551, 52194, 51192, 64268, 51504, 51210, 50903, 52938, 54421, 52194, 52282, 53673, 53202, 51419, 50956, 52335, 50965, 52335, 50876, 52335, 50951, 52335, 50798, 59280, 50426, 51136, 62290, 51589, 54125, 70052, 53978, 57385, 51058, 51846, 54060, 51136, 53970, 59280, 50447, 51150, 56060, 51668, 50915, 52194, 50975, 51846, 50844, 51136, 67055, 52938, 54421, 51040, 51449, 50965, 51449, 50906, 51449, 50931, 51449, 53673, 50460, 54006, 51009, 54204, 68432, 50851, 56889, 51846, 50984, 51317, 59904, 51589, 54112, 51261, 50977, 53978, 60116, 73202, 59280, 50439, 52194, 65399, 51317, 50822, 51846, 51210, 50903, 51373, 60142, 52178, 64503, 51140, 50874, 53673, 50460, 52178, 51055, 55970, 51145, 51040, 51449, 50861, 51449, 50906, 51449, 50931, 73506, 59280, 50424, 52377, 55834, 51207, 50984, 51317, 59904, 51589, 69636, 55707, 51261, 61619, 59280, 50450, 52178, 51483, 51317, 50822, 51207, 51210, 50903, 53330, 54421, 52194, 54430, 53673, 56451, 51448, 50900, 51314, 50956, 51314, 79173, 50965, 74744, 50851, 56889, 51504, 50984, 50986, 59904, 51373, 54125, 51930, 50874, 73216, 51868, 51148, 51086, 51314, 79173, 50906, 51314, 51001, 51314, 50951, 74744, 50851, 57491, 51311, 50984, 50970, 59904, 73843, 74263, 53788, 51183, 50997, 51314, 50956, 51314, 50861, 51314, 50876, 74744, 50851, 56889, 51246, 50984, 51136, 59904, 51373, 69636, 55707, 51140, 51417, 51027, 51314, 50900, 51314, 50956, 51314, 50965, 74744, 50851, 57491, 51136, 62290, 51373, 62371, 57411, 50941, 74263, 54204, 51127, 51176, 51449, 51040, 51449, 50871, 51449, 50906, 73506, 65642, 50423, 52178, 52038, 51846, 50984, 51317, 59904, 51589, 69636, 55707, 51140, 51218, 52194, 56562, 59280, 50450, 54006, 51192, 51317, 50822, 51846, 51210, 50903, 51373, 54421, 51493, 51373, 76519, 53397, 51300, 55970, 51183, 51040, 51449, 50861, 51449, 50906, 51449, 50931, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 68594, 51556, 55707, 51261, 69281, 59280, 50439, 54006, 52175, 53084, 50817, 52178, 50820, 51317, 50822, 51207, 51210, 50903, 51373, 60142, 52194, 50976, 50459, 51560, 50862, 52377, 54484, 53673, 56451, 51183, 50900, 51314, 50956, 51314, 79173, 50965, 74744, 50851, 56889, 51504, 50984, 50986, 59904, 68594, 51556, 55707, 51868, 51115, 51086, 51314, 50956, 51314, 79173, 50861, 51314, 50906, 74744, 59280, 50450, 51311, 50984, 50970, 59904, 51373, 54678, 51668, 53330, 50907, 53788, 51514, 50302, 51314, 50956, 51314, 50861, 51314, 50876, 74744, 59280, 50423, 51150, 57818, 52078, 50981, 51136, 62290, 51589, 69636, 54584, 51140, 51448, 51027, 51314, 50956, 51314, 50965, 51314, 50876, 51314, 52068, 52612, 61013, 51131, 50984, 51136, 59904, 54172, 55601, 54421, 51668, 53197, 61349, 54204, 51047, 51176, 51449, 50997, 51449, 51040, 51449, 50871, 73506, 65642, 50423, 51702, 52038, 51846, 50984, 51317, 59904, 51589, 69636, 55707, 51140, 78711, 59280, 50439, 51866, 64077, 51317, 50822, 51846, 51210, 50903, 51373, 58974, 52377, 51505, 50459, 52157, 51916, 76519, 52178, 51527, 55970, 51183, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 59280, 50426, 51207, 50984, 51317, 59904, 51589, 69636, 55707, 51261, 69281, 59280, 50439, 52194, 52175, 54006, 51388, 51317, 50822, 51207, 51210, 50903, 52938, 54421, 51560, 50862, 53397, 56082, 53673, 56451, 51183, 50900, 51878, 50871, 51878, 50965, 51878, 51001, 51878, 50798, 50851, 56889, 51504, 50984, 50986, 59904, 51589, 54112, 51086, 52168, 50956, 52168, 50871, 52168, 50906, 52168, 73216, 51868, 69281, 59280, 50450, 51311, 50984, 50970, 59904, 51373, 57450, 52318, 50941, 74263, 53788, 51183, 50997, 51314, 50956, 51314, 50861, 51314, 50876, 74744, 59280, 50426, 51136, 62290, 51589, 69636, 55707, 51140, 51183, 51027, 51314, 51040, 51314, 50956, 51314, 50989, 74744, 59280, 50447, 50903, 52848, 51136, 54447, 50812, 74263, 54204, 51127, 51176, 51449, 51040, 51449, 50871, 51449, 50906, 73506, 65642, 50423, 51702, 54107, 51846, 50984, 51317, 59904, 51589, 69636, 55707, 51140, 63732, 59280, 50439, 51866, 60919, 52377, 51388, 51317, 50822, 51846, 51210, 50903, 51373, 54421, 51493, 50810, 52178, 51585, 53673, 55970, 51183, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 51589, 69636, 55707, 51261, 69281, 59280, 50447, 52194, 52175, 51317, 50822, 51207, 51210, 50903, 51373, 64848, 54006, 54934, 51560, 53630, 61349, 56451, 51047, 50900, 51449, 50871, 51449, 50965, 51449, 51001, 51449, 51892, 50415, 53397, 52282, 50426, 51504, 50984, 50986, 59904, 56619, 51556, 55707, 51560, 78711, 59280, 50447, 53192, 51505, 50450, 64268, 51504, 63900, 59280, 50455, 52488, 68237, 55366, 51916, 50907, 53202, 51103, 51176, 52335, 50956, 52335, 50871, 52335, 50876, 52335, 53397, 52827, 50798, 50851, 56889, 51846, 50984, 51136, 59904, 68594, 51556, 50907, 51450, 65642, 50439, 51150, 51562, 50446, 53192, 51505, 50450, 77680, 51846, 51210, 50903, 76579, 50455, 52488, 68237, 51176, 51449, 50900, 51449, 51040, 51449, 50871, 51449, 50852, 50851, 54204, 64391, 65642, 50415, 53397, 52827, 50426, 51846, 50984, 51317, 59904, 51589, 69636, 51022, 51450, 59280, 50439, 51140, 51562, 50446, 53192, 69323, 51317, 50822, 51846, 51210, 50903, 51373, 64848, 52488, 50923, 74263, 55970, 51310, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 65642, 50415, 53397, 59216, 51207, 50984, 51317, 59904, 51589, 59749, 53397, 75993, 51560, 50977, 53978, 50436, 52488, 51138 ]
[ 0, 250, 5679, 26709, 5175, 19834, 4246, 10, 13305, 6, 1481, 677, 2957, 16940, 6, 8, 3459, 9590, 6, 278, 11, 10, 19448, 178, 5285, 20889, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 10726, 9, 272, 6, 230, 6, 3676, 6, 8, 1918, 406, 4, 20, 34879, 35334, 10, 1472, 9, 657, 8, 15073, 6, 442, 24, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50799, 59775, 51243, 66206, 51243, 50415, 59775, 51243, 66206, 62912, 50931, 70631, 50931, 52688, 50968, 63794, 50968, 53052, 50931, 63936, 50931, 52718, 50876, 70381, 50876, 53624, 50931, 67446, 50931, 52985, 50968, 70792, 50968, 53581, 50931, 50932, 50457, 50931, 50932, 50799, 55131, 51080, 59775, 51080, 66206, 51080, 50415, 55131, 51080, 59775, 51080, 66206, 62557, 50931, 70631, 50931, 52688, 50968, 63794, 50968, 53052, 50931, 63936, 50931, 52718, 50902, 51080, 56296, 51080, 55131, 51080, 59775, 51080, 66206, 51080, 50439, 50902, 51080, 56296, 51080, 55131, 51080, 59775, 51080, 66206, 51080, 56229, 60472, 57292, 51243, 50902, 51243, 52018, 51243, 50415, 50931, 60472, 57292, 51243, 50902, 51243, 52018, 62912, 50951, 70631, 50951, 52688, 50951, 63794, 50951, 53052, 50931, 63936, 50931, 52718, 50931, 51080, 50439, 50931, 51080, 56229, 60472, 57292, 51592, 50902, 51592, 54540, 51243, 50415, 50931, 60472, 57292, 51592, 50902, 51592, 54540, 62912, 50951, 70631, 50951, 52688, 50951, 63794, 50951, 53052, 50931, 63936, 50931, 52718, 50931, 77563, 50931, 54980, 50876, 62722, 80245, 50876, 62722, 50932, 54852, 66743, 75575, 51080, 51720, 51243, 76751, 66743, 75575, 51080, 51720, 51243, 50444, 50728, 50304, 58753, 67446, 50728, 50304, 58753, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 75656, 63751, 50838, 51720, 55916, 63496, 75656, 63751, 50838, 51720, 52944, 50900, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 63936, 50900, 52718, 50871, 56943, 50838, 69332, 56943, 53624, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 59019, 55512, 67590, 59019, 55512, 50838, 50799, 63496, 68026, 56943, 74221, 63496, 68026, 56943, 50838, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 63936, 50900, 52718, 50871, 56943, 50838, 69332, 56943, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51801, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51801, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 67590, 69108, 55332, 50838, 50799, 69108, 51080, 50916, 55332, 74221, 69108, 51080, 50916, 55332, 50838, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 68026, 56943, 50838, 51720, 51592, 50415, 63496, 68026, 56943, 50838, 51720, 51592, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 63936, 50900, 52718, 50871, 56943, 50838, 69332, 56943, 53624, 59019, 55512, 67446, 59019, 55512, 52985, 59019, 55512, 50838, 51011, 80245, 59019, 55512, 50838, 51011, 56109, 57120, 57777, 67590, 57120, 57777, 50838, 50799, 64169, 68026, 57292, 50838, 51186, 51243, 50415, 64169, 68026, 57292, 50838, 51186, 51243, 54569, 70631, 50899, 52688, 50871, 57292, 63794, 50871, 57292, 53052, 50899, 63936, 50899, 52718, 50871, 57292, 50838, 69332, 57292, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 71198, 57712, 67590, 71198, 57712, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51243, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51243, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 64169, 57292, 67590, 64169, 57292, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51592, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51592, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 50838, 51817, 80245, 64169, 57292, 50838, 51817, 56109, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 61541, 63751, 50838, 51720, 51283, 50415, 63496, 61541, 63751, 50838, 51720, 51283, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 50838, 51720, 63936, 50900, 50838, 51720, 52718, 50871, 56943, 50838, 51720, 51080, 69332, 56943, 50838, 51720, 63323, 63496, 56943, 67446, 63496, 56943, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 59019, 55512, 67590, 59019, 55512, 50838, 50799, 63496, 68026, 56943, 50838, 51720, 51283, 50415, 63496, 68026, 56943, 50838, 51720, 51283, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 50838, 51720, 63936, 50900, 50838, 51720, 52718, 50871, 56943, 50838, 51720, 51080, 69332, 56943, 50838, 51720, 63323, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 67590, 69108, 55332, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 50838, 51133, 63936, 50900, 50838, 51133, 52718, 50916, 55332, 50838, 51133, 51080, 50439, 50916, 55332, 50838, 51133, 63323, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 67590, 69108, 55332, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 50838, 51133, 63936, 50900, 50838, 51133, 52718, 50916, 55332, 50838, 51133, 51080, 50439, 50916, 55332, 50838, 51133, 63323, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 68026, 56943, 50838, 51720, 51283, 50415, 63496, 68026, 56943, 50838, 51720, 51283, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 50838, 51720, 63936, 50900, 50838, 51720, 52718, 50871, 56943, 50838, 51720, 50932, 69332, 56943, 50838, 51720, 56350, 59019, 55512, 67446, 59019, 55512, 52985, 59019, 55512, 50838, 51011, 80245, 59019, 55512, 50838, 51011, 56109, 57120, 57777, 67590, 57120, 57777, 50838, 50799, 64169, 68026, 57292, 50838, 51186, 51283, 50415, 64169, 68026, 57292, 50838, 51186, 51283, 54569, 70631, 50899, 52688, 50871, 57292, 63794, 50871, 57292, 53052, 50899, 50838, 51186, 63936, 50899, 50838, 51186, 52718, 50871, 57292, 50838, 51186, 51283, 69332, 57292, 50838, 51186, 73196, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 50838, 51011, 63652, 69108, 55332, 50838, 51011, 54529, 51186, 64224, 51186, 50827, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 50838, 51133, 63936, 50900, 50838 ]
[ 0, 250, 20902, 3495, 12, 9144, 2214, 14, 28337, 3459, 8669, 6, 9590, 6, 21072, 6, 856, 17993, 6, 8, 23338, 33518, 1264, 6, 2351, 10, 15352, 30054, 8, 20425, 2369, 19, 10, 11602, 9, 15073, 4, 8504, 11, 83, 3694, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 1918, 406, 6, 1918, 6, 211, 73, 717, 6, 1918, 406, 6, 8, 230, 4, 20, 14899, 2365, 16464, 817, 24, 10686, 13, 10, 3143, 9, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 60211, 51035, 50851, 51039, 67194, 74763, 51768, 50882, 51190, 50994, 53229, 54150, 53273, 56205, 51832, 50438, 51209, 50976, 60211, 51035, 54478, 51229, 51052, 67194, 74763, 50447, 51334, 52116, 51229, 55964, 50882, 51190, 50994, 53229, 54622, 51209, 52750, 51589, 56205, 51832, 50459, 76807, 52288, 51300, 51322, 50824, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67224, 74763, 50426, 51229, 50860, 51023, 58713, 51594, 55027, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51390, 50865, 53758, 52512, 52506, 58515, 54478, 51334, 50860, 78701, 74763, 50450, 51334, 55964, 51594, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50860, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 50865, 53758, 52512, 60211, 51035, 54478, 51334, 52715, 67194, 74763, 50450, 51334, 55964, 50882, 51190, 50994, 53229, 54622, 51256, 52590, 51589, 56205, 51832, 52288, 51300, 51322, 50860, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 55869, 51322, 51331, 67224, 74763, 50426, 51229, 50860, 51023, 58713, 51594, 55027, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51390, 50865, 53758, 52512, 52506, 58515, 54478, 51334, 50860, 78701, 74763, 50450, 51334, 50860, 60298, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50860, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 54930, 50953, 51021, 60211, 51035, 54478, 73251, 51334, 51029, 53510, 50994, 74763, 50447, 51133, 52555, 62300, 50903, 50882, 51190, 50994, 53229, 54622, 50953, 54452, 51589, 56205, 51832, 50459, 50945, 50962, 52288, 51009, 51390, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67224, 74763, 50426, 51322, 51021, 51023, 58713, 51594, 55027, 62650, 50427, 51229, 50860, 51185, 50886, 51530, 55286, 51322, 50923, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51229, 52125, 51069, 51009, 52506, 58515, 54478, 51334, 50860, 78701, 74763, 50450, 51334, 55964, 51594, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50860, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 54930, 51069, 51009, 51893, 50993, 60211, 51035, 50851, 51180, 67194, 74763, 50447, 52004, 52175, 54503, 56880, 50882, 51190, 50994, 53229, 60201, 52700, 61828, 53273, 56205, 51832, 52288, 51009, 52004, 50824, 54503, 62194, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67224, 74763, 50426, 51229, 51021, 51023, 58713, 51594, 55027, 62650, 50427, 51893, 50860, 51185, 50886, 51530, 55286, 51229, 51054, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51390, 53663, 51069, 51009, 52506, 58515, 54478, 51334, 50802, 78701, 74763, 50450, 51334, 55964, 51594, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50802, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 54930, 50953, 65398, 61681, 50920, 54478, 51011, 50930, 51334, 52677, 52715, 52192, 50913, 54714, 54887, 50447, 51133, 54411, 51011, 51030, 51334, 60894, 56155, 55271, 50978, 50913, 53229, 70347, 50945, 51021, 51334, 52590, 53832, 50865, 73919, 51832, 52288, 51009, 51633, 59569, 50859, 51340, 52054, 50937, 50415, 51760, 77130, 51023, 55325, 67503, 51185, 61911, 62300, 51271, 50866, 51643, 51073, 52957, 59749, 51756, 51073, 50432, 78781, 51271, 50978, 51023, 55325, 59628, 51185, 54123, 51069, 51009, 51667, 57468, 52189, 57577, 52213, 60021, 66779, 51667, 77927, 55325, 63178, 52213, 50924, 51185, 60649, 51133, 50917, 51652, 50879, 52957, 58974, 52387, 55416, 51271, 50865, 51831, 77927, 55325, 62516, 52861, 50924, 51185, 51058, 52288, 51009, 51652, 57468, 52189, 59249, 52387, 62340, 51831, 77927, 55325, 67503, 52861, 50924, 51185, 61911, 62300, 51271, 50866, 51652, 50924, 52957, 59749, 52387, 57943, 78781, 51271, 50978, 51667, 51472, 51023, 55325, 59628, 52213, 51472, 51185, 54123, 51069, 56681, 52189, 52597, 66779, 55233, 51218, 51023, 55325, 63178, 51185, 80059, 53587, 54356, 51133, 50917, 53081, 50959, 52957, 55874, 54291, 63234, 66586, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51667, 59569, 52189, 59249, 52213, 77130, 51023, 55325, 67503, 51185, 61911, 62300, 51271, 50866, 51643, 50879, 52957, 59749, 51756, 54729, 78781, 51271, 50978, 52185, 50879, 51023, 55325, 59628, 53037, 50879, 51185, 54123, 51069, 51009, 51652, 57468, 52189, 57577, 52387, 60021, 66779, 51652, 77927, 55325, 63178, 52387, 50924, 51185, 60649, 51133, 50917, 51652, 51345, 52957, 58974, 52387, 51345, 50456, 51271, 50865, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51667, 56910, 52189, 59249, 52213, 66403, 51023, 55325, 67503, 51185, 61911, 62300, 52457, 51013, 52957, 59749, 54091, 64919, 78781, 51023, 55325, 59628, 51185, 54123, 50953, 51030, 52457, 61025, 52189, 57577, 54091, 51294, 50444, 51011, 50962, 54291, 51051, 51023, 55325, 63178, 51185, 80059, 51133, 50809, 53081, 58248, 51011, 51030, 53587, 50878, 52957, 55874, 55233, 66704, 66586, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51633, 57468, 52189, 59249, 51760, 62340, 51633, 50879, 51023, 55325, 67503, 51760, 50879, 51185, 61911, 62300, 51271, 50866, 51643, 51013, 52957, 59749, 51756, 64919, 78781, 51271, 50978, 51023, 55325, 59628, 51185, 54123, 51069, 51009, 51667, 67570, 52189, 57577, 52213, 75665, 66779, 51023, 55325, 63178, 51185, 60649, 51133, 50917, 51652, 50879, 52957, 58974, 52387, 55416, 51271, 50865, 51831, 50879, 51023, 55325, 62516, 52861, 50879, 51185, 51058, 52288, 51009, 51652, 54523, 52189, 59249, 52387, 56179, 51831, 77927, 55325, 67503, 52861, 50924, 51185, 61911, 62300, 51271, 50866, 51652, 50924, 52957, 59749, 52387, 57943, 78781, 51271, 50978, 51667, 51472, 51023, 55325, 59628, 52213, 51472, 51185, 54123, 51069, 56681, 52189, 52597, 66779, 55233, 51218, 51023, 55325, 63178, 51185, 80059, 53587, 54356, 51133, 50917, 53081, 50959, 52957, 55874, 54291, 63234, 66586, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51652, 57468, 52189, 59249, 52387, 62340, 51652, 77927, 55325, 67503, 52387, 50924, 51185, 61911, 62300, 51271, 50866, 51831, 50879, 52957, 59749, 52861, 54729, 78781, 51271, 50978, 51652, 51013, 51023, 55325, 59628, 52387, 51013, 51185, 54123, 51069, 56681, 52189, 52597 ]
[ 0, 250, 15352, 30054, 3495, 657, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 2635, 1614, 1073, 1020, 20889, 4, 20, 33215, 16739, 1171, 230, 119, 6, 274, 6, 230, 401, 6, 230, 6, 8, 272, 119, 6, 2351, 10, 8728, 8, 25306, 5466, 11, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 51050, 58363, 51148, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 64369, 51477, 58365, 52985, 50871, 56711, 50900, 60778, 50838, 54662, 60379, 51592, 60284, 52688, 50900, 55544, 50899, 52718, 50623, 50899, 60912, 69151, 50623, 50444, 50623, 50899, 57060, 50623, 50450, 50623, 50900, 63348, 70184, 50623, 50456, 50623, 50906, 56517, 50623, 54197, 58363, 67943, 50623, 53502, 57712, 52688, 50871, 57712, 52015, 58319, 52718, 50965, 63257, 55200, 50861, 52985, 50871, 54143, 72407, 50838, 54206, 55126, 51050, 52688, 50900, 55544, 50899, 52718, 50623, 50997, 51244, 50441, 50623, 50444, 50623, 50447, 50623, 50450, 50623, 50453, 50623, 50456, 50623, 50459, 50623, 57528, 51050, 58363, 51148, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 64369, 51477, 58365, 52985, 50871, 56711, 50900, 60778, 50838, 54662, 60379, 51592, 60284, 52688, 50900, 55544, 50899, 52718, 50623, 50899, 60912, 69151, 50623, 50444, 50623, 50899, 57060, 50623, 50450, 50623, 50900, 63348, 70184, 50623, 50456, 50623, 50906, 56517, 50623, 54197, 58363, 51680, 50417, 50623, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 63257, 51310, 58365, 52985, 50871, 56711, 50956, 55512, 51074, 54206, 58363, 51592, 60284, 52688, 50900, 55544, 50899, 52718, 50997, 51244, 50450, 50876, 59111, 50876, 51074, 54662, 68434, 51592, 60284, 52688, 50997, 55544, 50900, 52718, 50623, 51040, 60912, 69151, 50623, 50444, 50623, 50997, 57060, 50623, 50450, 50623, 51050, 69136, 78252, 50623, 50456, 50623, 50459, 50623, 57528, 51085, 51260, 50296, 58399, 51148, 56363, 52688, 50916, 55544, 50861, 52718, 50900, 78172, 51534, 50447, 51028, 51172, 59758, 63821, 58843, 50876, 54529, 61801, 54197, 58363, 51243, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 56391, 50861, 52985, 50965, 56711, 50876, 50838, 57497, 60236, 62557, 51176, 52688, 50956, 55544, 50871, 51283, 50436, 51040, 51314, 50437, 50871, 67608, 50965, 51145, 56222, 56711, 50965, 50838, 55435, 64290, 51080, 55961, 52688, 50861, 55544, 50906, 54498, 50871, 65273, 73279, 55200, 50871, 52985, 50861, 63348, 56711, 51028, 50838, 54955, 60379, 51148, 54569, 52688, 50871, 55544, 50861, 52718, 50623, 51086, 68545, 51244, 50441, 50623, 50444, 50623, 50871, 57060, 50623, 50450, 50623, 50861, 78252, 50623, 50456, 50623, 50459, 50623, 53975, 51481, 50951, 51148, 50417, 50623, 55902, 55752, 50906, 56427, 50968, 55659, 50899, 52104, 50324, 79098, 50965, 56989, 50876, 59111, 50931, 51074, 55524, 51481, 51081, 51148, 58060, 55752, 50968, 56427, 50951, 55659, 50623, 51062, 51712, 50328, 51447, 50441, 50623, 50444, 50623, 50951, 71106, 50623, 50450, 50623, 50968, 78983, 50623, 50456, 50623, 50876, 67273, 50623, 54197, 51481, 50876, 51148, 50417, 50623, 53502, 51074, 54439, 56427, 50965, 55659, 50876, 75598, 51477, 50444, 50965, 51074, 56415, 59111, 50900, 52216, 50319, 50838, 54662, 51481, 50902, 51592, 60284, 51074, 53523, 56427, 50899, 55659, 50899, 74997, 53624, 50899, 51074, 56415, 67891, 56711, 50899, 77413, 50838, 54197, 51481, 50876, 50905, 53502, 69442, 52688, 50871, 61087, 56427, 50965, 55659, 50931, 52104, 50333, 51477, 57428, 56989, 50965, 62214, 51405, 50838, 54662, 51644, 50330, 51592, 60284, 57777, 52688, 50900, 51712, 50328, 55544, 50899, 65505, 52718, 50623, 50871, 51712, 50330, 51244, 50441, 50623, 50444, 50623, 50997, 51283, 50447, 50623, 50450, 50623, 51147, 75934, 67763, 50623, 50456, 50623, 50951, 52104, 50326, 60864, 50623, 57528, 51050, 58363, 51148, 53502, 52688, 50965, 55544, 50861, 52718, 50871, 64369, 51477, 50444, 50965, 52985, 50876, 56711, 51001, 60778, 50838, 54662, 60379, 51680, 60284, 52688, 50899, 55544, 50906, 52718, 50876, 66918, 67120, 55200, 50899, 52985, 50871, 63348, 56711, 50906, 50838, 54197, 51481, 50876, 51148, 53502, 55752, 50965, 56427, 50861, 55659, 50871, 52104, 50333, 51477, 50444, 50965, 56989, 50876, 59111, 51001, 52216, 50331, 50838, 54662, 51481, 51146, 51592, 60284, 52216, 50328, 52688, 50900, 52104, 50326, 55544, 50871, 52216, 50324, 52718, 50899, 51244, 50951, 51244, 50450, 50876, 51097, 54662, 51481, 51028, 51592, 60284, 55752, 51040, 56427, 50871, 55659, 50965, 59388, 51040, 51074, 56415, 78502, 62214, 51028, 51074, 53997, 51481, 70330, 56363, 55752, 50916, 56427, 50861, 51074, 55203, 78172, 51534, 50447, 51028, 51172, 59758, 63821, 58843, 50876, 54529, 61801, 54197, 58363, 51080, 53502, 55332, 52688, 50871, 71387, 55544, 50861, 55512, 64025, 50965, 64369, 50974, 55513, 55512, 77069, 51050, 64369, 56711, 51197, 57945, 50838, 57497, 60236, 51080, 51147, 51318, 66650, 52688, 51040, 55544, 50871, 51283, 50951, 52104, 50326, 54137, 50965, 51244, 51147, 51314, 51062, 51145, 56222, 56711, 50965, 50838, 55435, 64290, 51283, 55961, 52688, 50906, 51244, 59409, 52718, 50871, 64897, 73279, 57105, 50997, 63348, 56711, 51028, 50838, 53975, 76452, 51148, 55902, 52688, 50876, 55544, 51001, 52718, 50951, 74826, 51244, 50450, 50876, 51097, 54868, 51481, 50931, 51283, 56945, 72713, 52688, 50899, 75598, 51939, 58783, 77882, 52718, 50877, 52104, 50330, 56391, 50871, 77882, 52985, 50902, 52104, 50330, 56711, 50877, 52216, 50332, 50838, 50460, 50899, 51671, 50999, 51671, 50461, 50871, 51671, 51146, 51671, 50877, 51671, 51339, 51671, 58106, 50902, 51313, 51814, 51313, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 2635, 20889, 8, 10, 16487, 1943, 5466, 4, 20, 13305, 3315, 5, 169, 6, 7513, 30, 30587, 8669, 6, 21072, 6, 3459, 9590, 6, 8, 21677, 32909, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 40286, 9, 272, 6, 163, 119, 6, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 53997, 53765, 50916, 51060, 50861, 51173, 50876, 51173, 50430, 51085, 51160, 50436, 50916, 61130, 66894, 54957, 51315, 51294, 56222, 61679, 51173, 50973, 51060, 50454, 51315, 58565, 50916, 61473, 52640, 50315, 50800, 54868, 51362, 53337, 64674, 57442, 50879, 50430, 51120, 63363, 50899, 50882, 50871, 75556, 55381, 51214, 53044, 51214, 51116, 56279, 51121, 50871, 51192, 50861, 51286, 50453, 51214, 51110, 50459, 50899, 60263, 50833, 59285, 53997, 51241, 56248, 51060, 50861, 51173, 50876, 51173, 50430, 51085, 50911, 50436, 50916, 61130, 66894, 54957, 51315, 51091, 56222, 61679, 51173, 50973, 51060, 50454, 51315, 64503, 50916, 61473, 52640, 50315, 50800, 54868, 52208, 53337, 51941, 50871, 51585, 50877, 51933, 50444, 51224, 50870, 51214, 51354, 50445, 51224, 53711, 52112, 50454, 51326, 72007, 51031, 51214, 51192, 51528, 56561, 51406, 51537, 50292, 51413, 52206, 51661, 76799, 51302, 50961, 50916, 51175, 50861, 51110, 80033, 50427, 51931, 50968, 74875, 50968, 65109, 52093, 50968, 67066, 61407, 52206, 68549, 61473, 64425, 65452, 51085, 74267, 51033, 68397, 50834, 51841, 51218, 51315, 51364, 50442, 50968, 50930, 51180, 50841, 50968, 50962, 50448, 50968, 50962, 51382, 51130, 50841, 50968, 53819, 50306, 51110, 72362, 76699, 50454, 50968, 51031, 51453, 50839, 50968, 58361, 51841, 51689, 50296, 61629, 50852, 67954, 62053, 66868, 60762, 51215, 51528, 51139, 50851, 51120, 51115, 51799, 51417, 51039, 62780, 55747, 50902, 51364, 51302, 51130, 60500, 75738, 51110, 65645, 51361, 60723, 50852, 52081, 50294, 66229, 62221, 60951, 50813, 71504, 50834, 55774, 51731, 50287, 51127, 52129, 51139, 50834, 55774, 51100, 51382, 51392, 66229, 51233, 50871, 51215, 50861, 51110, 50454, 50798, 50883, 51214, 50806, 50457, 51931, 50460, 50852, 69584, 62379, 60924, 50862, 76634, 59566, 50828, 52206, 51189, 51085, 51141, 65945, 51302, 51031, 50916, 51215, 50861, 51215, 50876, 51215, 62579, 59225, 50876, 50962, 51361, 66875, 50882, 50436, 66074, 51604, 50280, 51879, 50292, 61368, 63287, 50809, 64001, 50968, 51354, 51450, 52141, 51537, 50284, 51734, 50296, 51417, 54032, 71560, 50911, 77314, 50858, 50968, 51014, 50899, 51233, 50861, 50967, 76699, 50454, 51841, 58089, 54647, 61448, 50316, 50858, 51214, 66376, 51315, 61629, 50798, 51581, 50284, 67232, 61473, 66616, 62125, 51379, 51528, 74447, 51120, 51291, 51799, 51291, 51039, 62614, 50952, 50424, 50877, 50943, 51302, 51130, 68469, 51363, 50871, 51124, 50877, 51346, 58932, 50830, 50436, 50899, 62221, 60951, 52781, 50804, 52223, 67504, 62847, 50828, 55774, 50813, 51214, 61381, 50855, 53012, 65789, 60953, 61508, 50839, 55774, 50813, 51214, 50855, 54141, 50828, 51214, 71415, 66824, 79279, 50883, 55774, 50809, 52612, 50895, 50899, 71142, 50949, 55774, 50809, 51214, 62053, 50962, 51382, 50817, 55774, 50811, 51214, 52717, 50306, 64587, 52717, 50311, 56354, 71329, 50839, 52206, 51196, 51085, 51527, 50796, 51039, 52816, 50833, 51302, 51392, 50839, 50968, 51014, 50916, 51194, 50861, 50967, 50876, 51175, 51361, 61665, 61968, 52206, 66554, 67003, 51085, 67885, 60924, 50844, 60040, 50968, 51014, 50437, 51315, 51295, 51450, 78796, 51841, 51274, 50441, 50968, 53806, 50843, 50921, 70433, 50448, 80252, 51382, 51179, 67232, 51212, 69940, 50973, 51100, 50453, 50968, 50880, 51453, 70831, 57521, 51315, 61368, 51581, 50284, 70886, 50852, 68469, 67046, 64422, 50880, 74912, 63665, 52362, 50282, 51446, 51120, 51047, 51039, 50834, 56143, 50424, 76783, 65591, 60500, 51233, 50871, 51110, 50877, 58443, 50843, 61300, 50899, 67431, 62125, 54957, 50843, 52411, 50858, 51214, 51682, 50275, 50808, 51180, 53351, 50858, 55774, 51519, 50287, 51218, 51382, 51135, 68370, 51110, 50871, 51110, 50861, 51110, 50453, 51799, 51100, 50454, 50798, 54450, 50843, 69738, 50899, 64587, 62053, 50840, 65195, 54366, 63779, 52415, 50292, 51343, 52206, 50983, 52399, 50834, 51302, 53843, 69498, 71665, 51043, 77549, 50430, 50876, 73177, 67974, 56966, 50916, 62531, 50835, 51085, 62141, 63136, 50798, 51682, 50280, 60407, 60364, 61246, 50921, 50968, 53318, 50284, 51294, 51315, 51446, 51180, 77358, 51021, 51382, 51135, 50846, 50968, 79730, 51194, 50861, 50967, 76699, 55350, 51031, 51841, 58089, 50858, 51453, 50884, 62873, 51214, 50910, 50460, 50843, 51581, 50284, 50809, 51315, 66675, 61381, 64005, 63287, 51388, 50799, 66987, 50897, 51799, 51991, 51120, 51307, 51039, 64890, 51274, 51302, 51130, 50895, 50871, 51218, 79379, 51027, 51417, 50899, 51417, 51361, 58024, 50798, 52600, 61246, 50952, 55258, 64849, 66119, 50798, 71572, 51139, 50895, 51027, 51189, 50899, 51413, 50877, 51413, 50871, 51413, 55350, 59057, 51142, 50902, 54166, 50877, 63303, 51247, 59652, 51966, 50862, 51528, 64257, 50854, 51214, 51486, 51214, 51359, 53158, 52654, 53636, 51027, 51413, 50871, 51413, 50877, 51413, 50899, 51103, 50432, 53636, 50999, 74387, 54547, 50443, 51456, 52875, 51456, 55019, 66823, 50861, 54411, 53636, 51085, 60191, 51045, 51027, 64763, 59782, 60598, 51003, 50452, 51279, 57637, 51224, 50961, 51214, 60407, 55577, 50856, 50854, 51841, 65039, 51054, 50458, 51799, 61780, 51289, 50895, 55774, 50855, 51528, 56561, 50884, 51085, 51397, 52206, 51661, 53158, 50820, 50968, 52282, 50424, 74870, 51302, 55019, 61687, 71665, 51043, 50876, 51194, 50900, 59937, 50981, 50430, 50856, 53705, 50856, 60591, 50798, 51920, 50863, 52206, 68549, 62053, 63835, 58566, 51085, 50836, 51450, 51920, 50820, 51086, 75591, 51741, 50284, 51218, 51315, 51218, 80213, 52986, 50856, 58321, 66904, 51382, 54973, 67232, 71665, 51194, 50973, 51110, 51026, 51709, 50861, 50981, 50454, 50856, 53007, 50856, 54794, 51841, 51689, 50296, 59322, 50856, 70883, 60924, 66499, 50862, 51528, 55019, 50820, 51120, 51477, 51799, 51417, 51027, 75656, 51080, 63173, 53070, 50856, 58830, 73886, 51302, 54973, 60500, 51423, 50871, 72317, 51043, 50430, 50856, 53196, 50856, 59370, 50856, 54528, 51731, 50294, 62963, 62154, 61549, 71610, 50886, 51450, 53498, 50834, 55774, 68546, 50803, 51214, 51145, 50442, 76066, 50968, 51010, 52129, 55019, 67904, 53275, 50275, 51100, 50448, 50856, 50829, 51382, 57737, 67128, 51014, 50899, 51309, 50871, 51110, 50861, 51043, 50454, 56639, 65147, 52717, 50280, 52931, 50856, 64204, 50824, 50460, 50856, 70883, 62464, 61077, 50867, 51528, 56561, 50884, 52206, 50983, 51085, 51397, 53158, 67128, 50943, 50424, 74870, 51302, 55019, 61687, 71665, 51043, 50876, 51194, 50900, 60763, 51003, 50430, 50856, 53705, 50856, 60591, 50798, 51920, 50863, 52206, 68677, 61368, 63835, 65452, 51085, 64422, 50865, 51450, 51920, 50820, 51086, 67430, 51619, 50284, 51191, 51315, 51218, 80213, 54617, 54247, 72476, 50968, 51112, 50448, 66904, 51382, 54973, 67232, 71665, 51194, 50973, 51110, 51026, 59055, 50981, 50454, 66904, 50902, 56354, 50856, 50829, 51841, 50897, 50876, 51014, 50459, 51315, 59322, 50856, 50829, 52046, 68370, 60924, 66499, 50862, 51528, 55019, 67128, 51226, 50877, 51637, 51799, 51141, 51120, 51477, 51050, 51448, 63173, 53070, 50856, 58830, 73886, 51302, 54973, 60500, 51423, 50871, 72317, 51043, 50430, 50856, 54839, 54216, 50856, 59370, 73886, 51799, 50809, 51120, 62963, 62154, 63700, 50886, 51450, 53498, 50834, 55774, 50809, 51214, 51145, 50442, 76066, 52129, 55019, 50829, 55774, 51110, 50448, 50856, 50829, 60373, 51382, 57737, 50820, 59836 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 1575, 10, 6755, 12547, 6, 3551, 139, 6, 6168, 3540, 6, 8, 32909, 6, 2351, 41, 9066, 8, 8728, 5466, 4, 590, 10, 20889, 9, 5962, 13410, 228, 2289, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 16, 278, 11, 5, 762, 9, 272, 538, 8, 24536, 10, 33215, 16739, 9, 272, 6, 211, 6, 163, 406, 6, 8, 3676, 4, 20, 15352, 30054, 3222, 5785, 227, 5, 9571, 17992, 7, 5, 1374, 19448, 8, 25306, 619, 9, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50456, 52039, 50873, 52039, 50873, 51088, 50873, 54358, 50873, 63355, 50943, 51431, 50943, 52143, 50943, 78580, 51093, 50943, 51301, 51218, 54850, 51218, 54358, 50943, 55851, 50943, 73681, 57908, 51431, 50873, 51431, 50873, 52143, 50873, 51088, 50873, 51093, 50873, 54358, 50873, 55851, 50873, 73681, 54259, 51431, 50873, 51431, 50873, 52143, 50873, 51301, 50873, 51088, 50873, 51093, 50873, 54850, 50873, 54358, 50873, 55851, 50873, 73681, 54233, 51431, 50943, 51431, 50943, 52143, 50943, 51093, 50943, 55851, 50943, 73681, 56508, 51744, 50873, 51744, 50873, 52776, 50873, 51088, 50873, 51357, 50873, 51266, 50873, 54358, 50873, 58873, 50873, 61593, 50873, 73605, 55345, 51485, 50873, 51485, 50873, 52776, 50873, 51154, 50873, 51357, 65584, 50873, 54648, 50873, 58873, 50873, 57440, 50873, 73605, 50873, 63355, 50943, 51431, 50943, 53215, 50943, 51301, 50943, 51113, 50943, 51093, 50943, 54850, 50943, 55769, 50943, 55851, 50943, 50719, 50289, 57908, 52298, 50873, 52298, 50873, 51357, 50873, 51887, 50943, 51299, 50943, 51154, 50943, 53011, 50943, 54648, 50943, 58873, 50873, 65406, 57421, 51898, 50873, 51898, 71252, 50873, 55769, 54233, 52039, 50943, 52039, 50943, 52830, 50943, 51299, 50943, 78580, 53011, 50943, 54358, 50943, 79698, 58705, 52039, 50873, 52039, 50873, 52830, 50873, 75191, 53011, 50873, 79698, 50873, 50799, 51898, 50943, 51898, 50943, 51887, 50943, 51299, 50943, 51154, 50943, 51113, 51218, 53011, 50943, 54648, 50943, 55769, 51218, 65406, 57908, 51898, 50873, 51898, 50873, 51154, 50873, 52371, 50943, 54648, 50873, 50719, 50294, 57421, 52298, 50873, 52298, 50873, 51357, 50873, 58873, 54233, 51431, 50943, 51431, 50943, 52830, 50943, 78580, 51093, 50943, 54358, 50943, 55851, 50943, 79698, 56508, 51431, 50873, 51431, 50873, 51299, 71252, 50873, 51093, 50873, 55769, 50873, 55851, 50873, 62292, 55345, 51485, 50873, 51485, 50873, 52065, 50873, 51357, 65584, 50873, 58873, 50873, 57440, 50873, 50719, 50303, 50873, 67659, 50943, 51744, 50943, 51883, 50873, 51093, 50943, 51266, 50943, 51113, 51218, 55769, 51218, 55851, 50943, 61593, 50943, 68847, 55689, 51699, 50873, 70825, 53890, 51509, 50873, 51509, 50873, 51887, 65584, 50873, 51201, 50873, 57440, 50873, 59885, 50873, 65406, 54259, 51485, 50873, 51485, 50873, 51699, 50873, 51088, 50873, 51357, 65584, 50873, 54358, 50873, 58873, 50873, 57440, 50873, 70825, 54233, 51744, 50943, 51744, 50943, 51299, 50943, 78580, 51093, 50943, 51266, 50943, 54358, 50943, 55851, 50943, 61593, 50943, 62292, 58705, 52039, 50873, 52039, 50873, 51699, 50873, 51088, 50873, 54358, 50873, 70825, 50873, 63355, 50943, 51431, 50943, 52143, 50943, 78580, 51093, 50943, 51301, 51218, 54850, 51218, 54358, 50943, 55851, 50943, 73681, 57908, 53808, 50943, 53808, 50943, 52143, 50873, 75191, 53011, 50873, 73681, 54259, 52143, 50873, 51251, 50873, 51154, 50873, 53827, 50873, 54648, 50873, 73681, 54233, 52334, 50873, 52334, 50873, 52143, 50943, 51301, 50943, 78580, 54850, 50943, 54358, 50943, 73681, 58141, 52039, 50943, 52039, 56508, 51154, 71252, 50873, 52776, 50943, 54648, 50873, 55769, 50873, 73605, 58705, 51898, 50873, 51898, 50873, 51357, 50873, 58873, 50873, 63355, 50943, 51431, 50943, 52143, 50943, 51301, 50943, 78580, 51093, 50943, 54850, 50943, 54358, 50943, 55851, 50943, 73681, 57908, 53808, 50873, 53808, 50873, 52143, 50873, 75191, 51301, 50873, 53011, 50873, 54850, 50873, 73681, 54259, 52334, 50873, 52334, 50873, 52143, 50873, 51251, 50873, 51154, 50873, 53827, 50873, 54648, 50873, 73681, 54233, 52039, 51218, 52039, 51218, 52143, 50943, 51301, 51218, 51088, 51218, 54850, 51218, 54358, 51218, 73681, 56508, 75191, 62292, 55345, 51485, 50873, 51485, 50873, 52065, 50873, 51088, 65584, 50873, 54358, 50873, 57440, 50873, 50719, 50303, 50873, 67659, 50943, 51744, 50943, 75191, 78580, 51266, 50943, 54358, 50943, 61593, 50943, 62292, 55689, 52065, 50873, 50719, 50303, 53890, 51485, 50873, 51485, 50873, 51491, 65584, 50873, 51883, 50943, 51299, 50943, 59558, 50873, 57440, 50873, 68847, 50943, 62292, 57421, 51431, 50873, 51431, 50873, 51093, 50873, 55851, 54233, 51579, 50943, 51579, 50943, 51699, 50873, 52065, 50873, 51182, 50943, 51088, 51218, 54358, 51218, 61276, 50943, 70825, 50873, 50719, 50303, 55322, 53148, 50873, 50719, 50298, 54230, 52298, 50873, 52298, 50873, 51357, 50873, 52830, 50943, 58873, 50873, 79698, 58705, 51431, 50873, 51431, 50873, 51093, 50873, 55851, 50873, 64934, 50943, 51485, 50943, 52371, 50943, 52065, 50943, 78580, 71938, 54358, 50943, 57440, 50943, 50719, 50294, 50943, 50719, 50303, 57908, 53689, 51221, 53689, 51221, 51251, 51221, 52371, 50943, 51887, 50943, 51299, 50943, 53827, 51221, 50719, 50294, 50943, 65406, 50943, 62292, 50943, 50435, 53689, 50833, 53689, 50833, 51251, 50833, 53827, 53415, 52039, 50943, 52039, 50943, 51699, 50943, 52065, 50943, 78580, 54358, 50943, 70825, 50943, 50719, 50303, 56508, 51485, 51221, 51485, 51221, 51251, 51221, 51107, 51221, 57440, 51221, 61513, 51221, 50459, 51485, 50833, 51485, 50833, 51251, 50833, 51107, 50833, 57440, 50833, 61513, 50833, 64934, 50943, 51485, 50943, 51251, 50943, 71938, 57440, 50943, 61513, 57908, 52298, 50873, 52298, 50873, 52065, 50873, 51357, 50873, 58873, 50873, 50719, 50303, 54259, 51431, 50873, 51431, 50873, 75191, 51093, 50873, 55851, 50873, 62292, 54233, 51485, 50943, 51485, 50943, 51251, 50943, 71938, 57440, 50943, 61513, 56508, 51744, 51221, 51744, 51221, 51375, 51221, 51266, 51221, 52830, 50943, 51251, 50943, 59624, 51221, 61593, 51221, 79698, 50943, 61513, 50943, 50459, 51744, 50833, 51744, 50833, 51266, 50833, 61593, 50833, 67659, 50943, 51744, 50943, 51883, 50943, 51299, 50943, 51113, 50943, 51266, 50943, 55769, 50943, 61593, 50943, 68847, 50943, 62292, 57908, 51431, 50873, 51431, 50873, 51883, 50873, 51093, 50873, 55851, 50873, 68847, 54259, 51485, 50873, 51485, 50873, 52065, 65584, 50873, 57440, 50873, 50719, 50303, 54233, 51744, 50943, 51744, 50943, 51299, 50943, 51266, 50943, 61593, 50943, 62292, 58705, 51744, 50873, 51744, 50873, 52143, 50873, 51266, 50873, 61593, 50873, 73681, 50873, 64934, 50873, 51485, 65584, 50873, 52371, 50943, 57440, 50873, 50719, 50294, 60413, 51431, 50873, 51431, 50873, 51093, 50873, 55851, 53890, 52298, 50873, 52298, 50873, 51301, 50873, 51375, 50873, 51357, 50873, 52830, 50943, 51251, 50943, 54850, 50873, 59624, 50873, 58873, 50873, 79698, 50943, 61513, 57421, 51744, 50873, 51744, 50873, 51266, 50873, 61593, 54233, 51431, 50833, 51431, 50833, 76090, 51883, 50943, 51299, 50943, 51301, 50943, 54850, 50943, 55851, 50833, 68847, 50943, 62292, 50943, 50441, 51898, 51221, 51898, 51221, 51113, 51221, 55769, 68031, 53215, 50943, 50719, 50289, 50943, 63355, 50873, 51431, 50873, 75191, 51093, 50873, 55851, 50873, 62292, 55689, 51431, 50873, 51431, 50873, 75191, 51093, 50873, 55851, 50873, 62292, 53890, 52039, 50943, 52039, 50943, 51699, 50943, 78580, 54358, 50943, 70825, 56389, 53808, 50833, 53808, 50833, 52830, 50833, 51301, 50833, 54850, 50833, 79698, 58935, 54595, 51221, 54595, 51221, 52143, 51221, 51299, 51221, 53011, 51221, 73681, 68031, 52039, 50873, 52039, 50873, 52830, 50873, 51088, 50873, 54358, 50873, 79698, 55345, 52039, 50873, 52039, 50873, 52830, 50873, 51088, 50873, 54358, 50873, 79698, 50873 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 1931, 21683, 10, 19448, 8, 9066, 5466, 4, 2595, 10312, 30, 10, 4069, 9, 12280, 3275, 1725, 3109, 6, 3741, 27374, 594, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 15054, 17838, 6, 24, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 5, 762, 9, 230, 10431, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 10431, 8, 274, 10431, 119, 6, 8216, 7, 63, 25306, 8, 15352, 30054, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 53882, 50952, 54750, 51449, 54750, 51313, 53469, 51449, 53469, 51313, 52345, 51449, 52345, 51313, 58416, 52017, 50418, 53322, 75177, 52242, 50952, 50427, 53882, 50952, 50431, 53322, 75339, 52242, 50952, 50440, 53882, 60835, 53322, 50952, 50448, 52242, 50952, 50452, 53882, 50952, 50457, 53322, 50952, 50461, 52242, 50952, 52177, 53882, 50952, 54750, 51359, 54750, 51655, 53469, 51359, 53469, 51655, 52345, 51359, 52345, 51655, 61835, 52017, 50421, 53322, 58798, 52242, 78674, 53882, 68686, 53322, 50952, 50439, 52242, 50952, 50443, 53882, 50952, 50447, 53322, 50952, 50451, 52242, 59349, 53882, 50952, 50460, 53322, 50952, 51809, 52242, 63817, 52573, 50952, 53469, 51127, 53469, 51336, 52345, 51127, 52345, 51336, 52508, 51359, 52508, 51655, 50659, 50282, 51551, 50425, 53322, 75104, 52242, 50952, 50433, 52573, 50952, 50437, 53322, 50952, 50442, 52242, 70894, 52573, 50952, 52118, 51127, 52118, 51336, 52880, 51127, 52880, 51336, 50659, 50279, 51551, 50450, 52049, 50952, 50455, 52797, 71428, 52573, 50952, 51601, 52049, 50952, 50419, 52797, 50952, 50424, 53882, 50952, 52230, 50943, 52230, 51013, 52880, 50943, 52880, 51013, 54750, 51518, 54750, 51933, 50659, 50281, 51551, 50428, 52292, 59099, 52797, 50952, 50436, 53882, 50952, 52345, 50943, 52345, 51013, 53469, 51127, 53469, 51336, 50441, 53322, 50952, 50445, 52242, 50952, 50449, 53882, 50952, 53232, 51675, 53232, 51896, 50659, 50281, 52282, 50453, 53322, 69085, 53324, 50952, 50799, 53895, 50830, 55424, 51241, 55424, 51294, 52230, 51241, 52230, 51294, 50418, 52292, 61456, 53324, 50865, 50428, 53249, 50830, 53854, 50943, 53854, 51013, 54750, 51359, 54750, 51655, 53469, 51359, 53469, 51655, 58416, 52017, 50432, 53882, 68231, 53322, 67007, 53882, 50830, 52345, 51518, 52345, 51933, 50445, 53322, 70380, 52242, 60278, 53882, 62990, 53322, 50910, 50799, 52242, 69392, 51777, 51227, 53882, 68018, 53322, 50910, 50427, 52242, 50910, 50428, 51777, 70328, 51777, 51941, 53882, 50910, 54750, 51359, 54750, 51655, 53232, 51359, 53232, 51655, 52880, 51359, 52880, 51655, 53878, 52017, 50435, 53324, 50910, 50440, 52797, 60204, 53882, 50910, 50448, 53324, 79179, 52797, 78767, 53882, 78123, 53324, 50910, 52177, 52797, 60853, 51777, 51227, 53882, 56382, 53324, 62815, 52797, 50910, 50431, 51777, 60661, 51777, 51356, 53882, 50910, 54750, 51127, 54750, 51336, 53469, 51127, 53469, 51336, 52345, 51127, 52345, 51336, 58416, 51551, 50439, 53322, 50910, 50443, 52242, 69352, 53882, 50910, 50451, 53322, 57939, 52242, 50910, 50460, 51275, 51356, 52573, 50910, 52508, 51127, 52508, 51336, 53469, 51127, 53469, 51336, 52880, 51127, 52880, 51336, 50659, 50279, 51551, 51809, 53322, 50910, 50421, 52797, 50910, 50425, 52573, 50910, 50429, 53322, 75407, 52797, 56983, 51777, 51356, 53882, 50910, 54750, 51127, 54750, 51336, 52345, 51127, 52345, 51336, 52760, 51359, 52760, 51655, 61835, 51551, 50442, 52740, 64482, 52242, 57006, 53882, 50910, 50455, 52740, 65841, 52242, 50910, 51601, 51429, 51016, 52573, 50910, 52508, 51127, 52508, 51336, 53232, 51127, 53232, 51336, 61835, 51551, 50419, 52740, 50910, 50424, 53324, 50910, 50428, 51489, 51016, 52573, 58466, 52740, 79178, 53324, 50910, 50441, 51119, 51016, 53882, 50910, 54750, 50943, 54750, 51013, 52760, 51359, 52760, 51655, 52345, 51359, 52345, 51655, 59282, 52017, 50445, 52740, 50910, 50449, 52242, 68714, 52740, 50910, 54267, 51518, 54267, 51933, 50458, 52242, 50910, 50799, 53634, 69392, 52740, 68018, 52242, 50910, 50427, 53634, 50910, 50431, 52577, 51603, 52740, 65470, 52242, 50910, 50440, 53634, 50910, 50441, 52577, 54952, 52577, 52369, 52740, 50910, 52760, 51359, 52760, 51655, 52880, 51359, 52880, 51655, 52779, 51359, 52779, 51655, 64794, 52017, 50448, 52797, 79179, 52044, 78767, 52740, 78123, 52797, 50910, 52177, 52044, 60853, 52740, 56382, 52797, 62815, 52044, 58877, 52577, 51603, 52740, 50910, 50439, 52797, 50910, 50443, 52044, 60204, 52577, 57152, 52577, 51527, 52740, 50910, 52760, 51127, 52760, 51336, 52345, 51127, 52345, 51336, 54267, 51359, 54267, 51655, 59282, 51551, 50451, 52242, 57939, 53634, 50910, 50460, 52740, 50910, 51809, 52242, 50910, 50421, 53634, 50910, 50425, 52569, 51054, 52292, 50910, 52230, 50943, 52230, 51013, 52880, 50943, 52880, 51013, 64794, 74450, 52797, 75407, 53634, 56983, 54282, 51054, 53322, 50910, 53469, 50943, 53469, 51013, 52345, 50943, 52345, 51013, 58416, 51090, 50442, 52242, 64482, 53634, 57006, 54462, 51527, 53324, 50910, 53232, 51127, 53232, 51336, 52880, 51127, 52880, 51336, 54267, 51127, 54267, 51336, 53878, 51551, 50455, 52797, 65841, 53634, 50910, 51601, 53324, 50910, 50419, 52797, 50910, 50424, 53634, 50910, 50428, 52930, 51527, 52242, 50910, 52345, 51127, 52345, 51336, 54267, 51127, 54267, 51336, 54832, 51127, 54832, 51336, 58416, 51551, 50432, 53634, 79178, 53731, 50910, 50441, 52242, 50910, 50445, 53634, 50910, 50449, 53731, 68714, 52627, 51527, 52049, 50910, 52118, 51127, 52118, 51336, 52779, 51127, 52779, 51336, 52880, 51359, 52880, 51655, 50659, 50279, 51551, 50458, 52797, 50910, 50799, 52044, 69392, 52049, 68018, 52797, 50910, 50427, 52044, 50910, 50431, 52569, 51527, 52292, 50910, 52230, 51127, 52230, 51336, 54267, 51127, 54267, 51336, 50659, 50281, 51551, 50435, 52797, 50910, 50440, 53634, 60204, 52292, 50910, 50448, 52797, 79179, 53634, 78767, 54282, 52369, 53322, 50910, 52345, 51127, 52345, 51336, 53469, 51359, 53469, 51655, 54267, 51359, 54267, 51655, 58416, 55362, 50461, 52242, 50910, 52177, 53634, 60853, 53322, 56382, 52242, 62815, 53634, 58877, 53322, 50910, 52661, 51127, 52661, 51336, 50439, 52443, 50910, 50443, 53634, 69352, 54106, 50889, 53322, 50910, 50451, 52443, 57939, 53634, 50910, 50460, 53139, 51538, 53322, 50910, 53469, 51359, 53469, 51655, 52880, 51359, 52880, 51655, 52779, 51359, 52779, 51655, 51809, 52797, 50910, 50421, 52044, 50910, 50425, 53322, 50910, 53750, 71667, 52797, 75407, 52044, 56983, 53322, 50910, 50659, 50294, 51054, 50442, 52797, 64482, 52044, 57006, 51825, 51013, 53322, 50910, 53750, 51054, 50455, 52797, 65841, 52044, 50910, 51601, 52948, 51933, 53322, 50910, 53469, 51359, 53469, 51655, 52661, 51359, 52661, 51655, 54267, 51359, 54267, 51655, 58416, 56073, 50419, 52443, 50910, 50424, 53634, 50910, 50428, 53322, 58466, 52443, 79178, 53634, 50910, 50441, 53322, 50910, 50445, 52443, 50910, 50449, 53634, 68714, 54106, 50889, 53322, 62990, 52443, 50910, 50799, 53634, 69392, 53139, 51538, 53322, 50910, 53469, 51359, 53469, 51655, 52880, 51359, 52880, 51655, 52779, 51359, 52779, 51655, 50423, 52797, 50910, 50427, 52044, 50910, 50431, 53322, 50910, 53750, 51054, 50435, 52797, 50910, 50440, 52044, 60204, 53322, 50910, 50659, 50294, 51054, 50448, 52797, 79179, 52044, 78767, 51825, 51013, 53322, 50910, 53750, 51054, 50461, 52797, 50910, 52177, 52044, 60853, 52948, 51336, 53322, 50910, 52661, 51127, 52661, 51336, 54267, 51127, 54267, 51336, 53469, 51359, 53469, 51655, 58416, 51527, 50426, 52443, 62815, 53634, 58877, 53322, 50910, 50439, 52443, 50910, 50443, 53634, 69352, 53335, 51336, 53322, 50910, 52880, 51127, 52880, 51336, 52779, 51127, 52779, 51336, 50659, 50279, 51551, 50451, 52797, 57939, 52044, 50910, 50460, 53322, 50910, 51809, 52797, 50910, 50421, 52044, 50910, 50425, 52043, 51933, 52740, 50910, 52880 ]
[ 0, 713, 8787, 5175, 8, 3495, 15229, 11, 230, 538, 16, 17407, 30, 41, 20425, 8, 15352, 30054, 2574, 6, 7630, 14805, 10, 8576, 9, 8597, 31, 11098, 7, 15073, 4, 590, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 5, 2125, 1575, 10, 16331, 33215, 16739, 9, 1918, 6, 163, 406, 6, 3676, 6, 211, 119, 6, 8, 230, 6, 8216, 7, 63, 13363, 28191, 5466, 8, 25306, 1318, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 56415, 50882, 50871, 50882, 50871, 50882, 50871, 71772, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 50871, 51496, 50871, 51496, 56415, 50882, 50871, 50882, 50871, 50882, 50871, 71772, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 50871, 51496, 50871, 51496, 56415, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 70640, 50454, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 70640, 50458, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 70640, 54578, 51500, 50871, 51500, 50877, 51500, 50877, 51500, 50999, 51500, 53645, 50882, 50871, 75556, 75556, 50882, 50999, 50882, 74413, 50882, 50871, 75556, 75556, 50882, 50999, 78116, 50871, 50882, 50871, 75556, 75556, 50882, 50999, 55381, 50871, 51500, 50871, 51500, 50877, 51500, 50877, 51500, 50999, 51500, 56415, 50882, 50871, 75556, 75556, 50882, 50999, 71772, 50871, 50882, 50871, 75556, 75556, 50882, 50999, 71529, 50871, 50882, 50871, 75556, 75556, 50882, 50999, 50882, 54578, 51500, 50871, 51500, 50877, 51500, 50876, 51500, 51062, 51500, 53645, 50882, 50871, 75556, 78842, 51062, 50882, 74413, 50882, 50871, 75556, 78842, 51062, 78116, 50871, 50882, 50871, 75556, 78842, 51062, 55381, 50871, 51500, 50871, 51500, 50877, 51500, 50876, 51500, 51062, 51500, 56415, 50882, 50871, 75556, 78842, 51062, 71772, 50871, 50882, 50871, 75556, 78842, 51062, 71529, 50871, 50882, 50871, 75556, 78842, 51062, 50882, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50871, 51496, 50877, 51496, 50931, 51496, 50900, 52282, 50876, 52266, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873, 50968, 73957, 50968, 50961, 50931, 50961, 50931, 55622, 50916, 51500, 50906, 51500, 50951, 51500, 50440, 50951, 51500, 59758, 51286, 50906, 51286, 50876, 51286, 50876, 51286, 50900, 51500, 50452, 50876, 51286, 50459, 50916, 78726, 52640, 50320, 52640, 50323, 71366, 50951, 50930, 54197, 51500, 50871, 51500, 50876, 51500, 50931, 51500, 50999, 51500, 53645, 60022, 50877, 51030, 62204, 62619, 51050, 53275, 50321, 53275, 50321, 53275, 50321, 63233, 51027, 53275, 50325, 53275, 50325, 53275, 50325, 63109, 50900, 53275, 50328, 53275, 50328, 53275, 50328, 51030, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50931, 51496, 50900, 52282, 50871, 52282, 50877, 52282, 50876, 52282, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873, 50968, 73957, 50968, 50961, 50931, 50961, 50931, 55622, 50999, 51500, 50440, 50999, 51500, 59758, 51286, 50906, 51286, 50876, 51286, 50951, 51286, 51085, 51500, 50452, 50951, 51286, 50459, 50916, 78726, 52640, 50320, 52640, 50325, 71366, 50999, 50930, 53997, 51496, 50906, 51496, 50876, 51496, 50968, 51496, 50951, 51496, 63451, 51500, 50871, 51500, 50877, 51500, 50876, 51500, 50931, 51500, 56415, 50882, 50871, 71772, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 53645, 74875, 50877, 50882, 65281, 55381, 50931, 51500, 56415, 50882, 50871, 71772, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 56207, 75556, 74875, 50876, 66427, 78116, 70640, 50931, 55381, 50931, 51500, 50999, 51500, 56415, 50882, 50871, 71772, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 54578, 51500, 50871, 51500, 53645, 50882, 50871, 75556, 75556, 50882, 74413, 50882, 50871, 66427, 66427, 78116, 50871, 50882, 50871, 50882, 70640, 50931, 55381, 50871, 51500, 50871, 51500, 50931, 51500, 50999, 51500, 56415, 50882, 50871, 75556, 66427, 66427, 71772, 50871, 50882, 50871, 75556, 50882, 70640, 70640, 50458, 50871, 50882, 50871, 75556, 50882, 50999, 50882, 50999, 50882, 54578, 51500, 50871, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 53645, 50882, 50871, 66427, 66427, 78842, 74413, 50882, 50871, 78842, 70640, 70640, 50434, 50871, 50882, 50871, 78842, 50999, 50882, 50999, 55381, 50871, 51500, 50871, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 56415, 50882, 50871, 66427, 78842, 70640, 50454, 50871, 50882, 50871, 78842, 70640, 50999, 71529, 50871, 50882, 50871, 78842, 50999, 50882, 51062, 50882, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50871, 51496, 50877, 51496, 50931, 51496, 50900, 52282, 50876, 52266, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873, 50968, 73957, 50968, 50961, 50931, 50961, 50931, 55622, 50916, 51500, 50906, 51500, 50951, 51500, 50440, 50951, 51500, 59758, 51286, 50906, 51286, 50876, 51286, 50876, 51286, 50900, 51500, 50452, 50876, 51286, 50459, 50916, 78726, 52640, 50320, 52640, 50323, 71366, 50951, 50930, 54197, 51500, 50871, 51500, 50876, 51500, 50931, 51500, 50999, 51500, 53645, 60022, 50877, 51030, 62204, 62619, 51050, 53275, 50321, 53275, 50321, 53275, 50321, 63233, 51027, 53275, 50325, 53275, 50325, 53275, 50325, 63109, 50900, 53275, 50328, 53275, 50328, 53275, 50328, 51030, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50931, 51496, 50900, 52282, 50871, 52282, 50877, 52282, 50876, 52282, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873 ]
[ 0, 713, 8787, 3495, 8, 5175, 2125, 6, 278, 11, 230, 538, 6, 1931, 21683, 10, 11739, 9, 15352, 30054, 16426, 8, 20425, 23338, 293, 6, 1969, 13, 26545, 50, 190, 10, 1619, 822, 4, 20, 7212, 20889, 9, 16970, 163, 5683, 8, 204, 73, 306, 86, 6543, 1045, 10, 5204, 4811, 13, 5, 81, 9756, 8669, 6, 21072, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 6755, 12547, 7, 35810, 49, 25210, 5797, 990, 1506, 9, 2369, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 274, 73, 347, 8, 230, 6, 1271, 10, 2842, 9, 25342, 7, 5, 1374, 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 ]	[ 54458, 50796, 58479, 51358, 50871, 51358, 58060, 52910, 50877, 51100, 51487, 53182, 79844, 60496, 51127, 50439, 51339, 53218, 74650, 56415, 51111, 50999, 53312, 75022, 54594, 51623, 51081, 51933, 58973, 54243, 50906, 51221, 51487, 55112, 50902, 73835, 51339, 72341, 70268, 50902, 55082, 72682, 50451, 51081, 61510, 50902, 51060, 59733, 51291, 50877, 51591, 67855, 51157, 56546, 51100, 51487, 53182, 50968, 55965, 51339, 55695, 64486, 50968, 59323, 50877, 51100, 50451, 51062, 61510, 50968, 51060, 54594, 51623, 50415, 51081, 51941, 58973, 55973, 50906, 51177, 51487, 55112, 50902, 53912, 51339, 51116, 50906, 71158, 50902, 53794, 68062, 50451, 51339, 66354, 51430, 53920, 50902, 69495, 51146, 63357, 51430, 50800, 54578, 51417, 50415, 51339, 51077, 58060, 50943, 56207, 51218, 50432, 51062, 63837, 51013, 57019, 51177, 50439, 50931, 51112, 67964, 51141, 56415, 51095, 50931, 67768, 56251, 50461, 50968, 50855, 53975, 51661, 50415, 50931, 57780, 50968, 64682, 50931, 53576, 50861, 51048, 50421, 50968, 55155, 50931, 58423, 50968, 53425, 50931, 69245, 51417, 50428, 50968, 57881, 50931, 52844, 50968, 61368, 51255, 50433, 50931, 55782, 50968, 59693, 50931, 53574, 50968, 66407, 51077, 50440, 50931, 54465, 50968, 64294, 55082, 50902, 66291, 58705, 50968, 62111, 50873, 56229, 51238, 50871, 50983, 51996, 51353, 58060, 54243, 50877, 51562, 51339, 51977, 59409, 51116, 57019, 51218, 51062, 63883, 50876, 65223, 50999, 57543, 51218, 50456, 73955, 50876, 50805, 55524, 51591, 50968, 51161, 51836, 50943, 58060, 51111, 56207, 51178, 51430, 51896, 52196, 51452, 59409, 51116, 60496, 51255, 51062, 69279, 50876, 59323, 50999, 51111, 50916, 55069, 50968, 50910, 75022, 51946, 50905, 58479, 51343, 50899, 51364, 50415, 51996, 52071, 57340, 51121, 53645, 60307, 50931, 64608, 54233, 50899, 51218, 50931, 51343, 67964, 51100, 56415, 58705, 50902, 67048, 50849, 54206, 61471, 51336, 57340, 50889, 53337, 55112, 50877, 51100, 51146, 51167, 55898, 78599, 62682, 50877, 55082, 50951, 51235, 50900, 55069, 50861, 50805, 56229, 51496, 50997, 54994, 50871, 50914, 53337, 56217, 50902, 78398, 51121, 62335, 51127, 50902, 50918, 51996, 56532, 51946, 53103, 50871, 50873, 52196, 55247, 50899, 66704, 50871, 51100, 52032, 50866, 55435, 51413, 52196, 51742, 55961, 67689, 58595, 50999, 57260, 69400, 55179, 50931, 52322, 50902, 53177, 50302, 50983, 57428, 51111, 50446, 51946, 65295, 50906, 51016, 50455, 51996, 55670, 50871, 50849, 54960, 51527, 50900, 51538, 51946, 51141, 55902, 51177, 56248, 57173, 50861, 50845, 52338, 50955, 59419, 51203, 50951, 51196, 52338, 53363, 58365, 53562, 50900, 51145, 72786, 51003, 55524, 55385, 51062, 56135, 70266, 51062, 51290, 50900, 51141, 58319, 73320, 50951, 51343, 50916, 51417, 58365, 51100, 55895, 68429, 50861, 67238, 52338, 50971, 56229, 51238, 50871, 50918, 51996, 51353, 58060, 54243, 50877, 51807, 50333, 51977, 59409, 53912, 78549, 51062, 63883, 79377, 60027, 51734, 50325, 53312, 73955, 50876, 50805, 55524, 51486, 50968, 51161, 51836, 50943, 58060, 51116, 56207, 51178, 52196, 51790, 59409, 51116, 50999, 51189, 60496, 51255, 51430, 51336, 75795, 60866, 50931, 68968, 51111, 50916, 55069, 50876, 65655, 50805, 51946, 50901, 58479, 51343, 50899, 51364, 50415, 51996, 53454, 57340, 50943, 53645, 51562, 77431, 64608, 50943, 55898, 51218, 50931, 51343, 67964, 55441, 50871, 58705, 50902, 67048, 50849, 54206, 51446, 51146, 51336, 57340, 51111, 53645, 55112, 50877, 51100, 55898, 78599, 62682, 50877, 55082, 50900, 65934, 61510, 50877, 50805, 56229, 51496, 50997, 54994, 50871, 51100, 53337, 56217, 50902, 78398, 51221, 62335, 51127, 50902, 50918, 51996, 51100, 57428, 75097, 51946, 53140, 50899, 70390, 52196, 55345, 50871, 51124, 50458, 52032, 50822, 55435, 51103, 52196, 51486, 50420, 51081, 50976, 50871, 54243, 50999, 62525, 51204, 77431, 57926, 52424, 50902, 53177, 50302, 50983, 57428, 51116, 65851, 51016, 50454, 51946, 52863, 50871, 66604, 51996, 50822, 54960, 51552, 50900, 51538, 51946, 51189, 55902, 51177, 56248, 57173, 51062, 69718, 50845, 52338, 60465, 51062, 51541, 50916, 51397, 52338, 51675, 58365, 55247, 50900, 51677, 50456, 50951, 56135, 51003, 55524, 65934, 51469, 55902, 51158, 56248, 51141, 58319, 50943, 55203, 58141, 50861, 60763, 51552, 55895, 58705, 50861, 50917, 55331, 51362, 50899, 51103, 57340, 50991, 53645, 51291, 77431, 63621, 51124, 52665, 54233, 50931, 51362, 50899, 74449, 52665, 51191, 67964, 51124, 56415, 51103, 50454, 52665, 61898, 51146, 63621, 50943, 50458, 52338, 50955, 62529, 51364, 50899, 51077, 52665, 50901, 57340, 50914, 51996, 51591, 53645, 51145, 50432, 50999, 53275, 50313, 55965, 50999, 51162, 50899, 51141, 67964, 55082, 50931, 59006, 55069, 50902, 58696, 51177, 56807, 51226, 50900, 51446, 55902, 55973, 77839, 59409, 69718, 51056, 52338, 58346, 50876, 51204, 50900, 51077, 52338, 51218, 58365, 51073, 59758, 51145, 50455, 51946, 56974, 71356, 53975, 51103, 51946, 51486, 50420, 52357, 51354, 50861, 52910, 51487, 51158, 50916, 72816, 51339, 51060, 50861, 54975, 51062, 51167, 50900, 51077, 58365, 73319, 50951, 61027, 56934, 50861, 58681, 51060, 55331, 51274, 50899, 51103, 57340, 50991, 53645, 51291, 77431, 53275, 50313, 51124, 52665, 53264, 50899, 51077, 50931, 51977, 50439, 52665, 51400, 67964, 51124, 56415, 51103, 52665, 70854, 50877, 50943, 50459, 52338, 50867, 54206, 51077, 52665, 68531, 51339, 65274, 50914, 51996, 51894, 50426, 51146, 51111, 71578, 50432, 50999, 58696, 55965, 50931, 53177, 50306, 51141, 67964, 55082, 50902, 51290, 50871, 55069, 50877, 51177, 56807, 51496, 50900, 51446, 55902, 55973, 77839, 59409, 62509, 51056, 52338, 60592, 50876, 51141, 50900, 74449, 52338, 51091, 58365, 51073, 59758, 51145, 50456, 51062, 69718, 51124, 51946, 50865, 59733, 51472, 50900, 51103, 51946, 51358, 55902, 52910, 77839, 58319, 54975, 50951, 60867, 63883, 80033, 70135, 50445, 52196, 67702, 50951, 51227, 50916, 73559, 51946, 61327, 50861, 50849, 56229, 51235, 50871, 51896, 51996, 56100, 50876, 52910, 50877, 51734, 50333, 51685, 59409, 57222, 50877, 66476, 56027, 50871, 51189, 60027, 51800, 50325, 63505, 66285, 75022, 55524, 51623, 50968, 51933, 51946, 53561, 50876, 51073, 56207, 51800, 50332, 51977, 52196, 51103, 59409, 56039, 73822, 51062, 51141, 65827, 58624, 50877, 51158, 50999, 51158, 50451, 51946, 66225, 61827, 50876, 50893, 58479, 51274, 50899, 51356, 51996, 52821, 57340, 50914, 53645, 51417, 77431, 73033, 78583, 50931, 51274, 50899, 64486, 50877, 51116, 56415, 53259, 50456, 50902, 73033, 50889, 54206, 56831, 51274, 57340, 52910, 50899, 53182, 51146, 51379, 50877, 53912, 50899, 67095, 61726, 50877, 52728, 50951, 51160, 50900, 63505, 77916, 56229, 51761, 50997, 51933, 55961, 50889, 53337, 69508, 51062, 53318, 50309, 50914, 50433, 52338, 53470, 50931, 51364, 51062, 51336, 50439, 51836, 54527, 57428, 53794, 50997, 55069, 50931, 57874, 51111, 56807, 51472, 50900, 51077, 51062, 51655, 55902, 52910, 50916, 51215, 58319, 51013, 55203, 52530, 50323, 51527, 58365, 52728, 50900, 61510, 50861, 50805, 51996, 50977, 58479, 51896, 50871, 51896, 51996, 53002, 51201, 51449, 51304, 51449, 51690, 51449, 52037, 51293, 50415, 51132, 51655, 51686, 50981, 59456, 50981, 58060, 51016, 56207, 51111, 51487, 51013, 50427, 52367, 51380, 50758, 50335, 51380, 59409, 51124 ]
[ 0, 250, 32076, 8, 1769, 12, 20764, 19834, 2125, 14, 28337, 15855, 4785, 6, 4246, 10, 13305, 6, 1076, 560, 31365, 25999, 6, 21979, 9590, 6, 6755, 12547, 6, 8, 21072, 4, 8504, 11, 211, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3344, 9, 11098, 8, 15073, 6, 10686, 13, 822, 50, 2365, 304, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50650, 50903, 51003, 51768, 54498, 50903, 50932, 51034, 50903, 51003, 51768, 54498, 50903, 50932, 50449, 52135, 50828, 51652, 51413, 52113, 51472, 79084, 50373, 52258, 51085, 52441, 50916, 51679, 50861, 51310, 50876, 51318, 50968, 51477, 51733, 55776, 53506, 55776, 50415, 51150, 51790, 51510, 50854, 51768, 53199, 53911, 50916, 51477, 50436, 52135, 50820, 51652, 51025, 52113, 51162, 51658, 60433, 50844, 50861, 51400, 50444, 50968, 50897, 50449, 52376, 51413, 51652, 51413, 51633, 51291, 79084, 50373, 52258, 51315, 52140, 51086, 51314, 50899, 51742, 50916, 51662, 50861, 51939, 51384, 55776, 51926, 55776, 50415, 51493, 51692, 51768, 53199, 68412, 55822, 51346, 52457, 51346, 51652, 51227, 51658, 60433, 53783, 51086, 50974, 50449, 52376, 51413, 51667, 51413, 51643, 51291, 79084, 50373, 52258, 51733, 53055, 53506, 53055, 50415, 51216, 51183, 50916, 51419, 50877, 51419, 50876, 51419, 51768, 53199, 68412, 52832, 51056, 52376, 51056, 52135, 51048, 51658, 60433, 50844, 67597, 56756, 60256, 51733, 52618, 53506, 52618, 50439, 51668, 51056, 50448, 55066, 51103, 52832, 51103, 52376, 50918, 79084, 50373, 52258, 51733, 53055, 53506, 53055, 50415, 51493, 51127, 50916, 51419, 50877, 51419, 50876, 51419, 51510, 50854, 51768, 53199, 68412, 52832, 51157, 52376, 51157, 51652, 51290, 51658, 60433, 50844, 67597, 56756, 60256, 51733, 52618, 53506, 52618, 50439, 73964, 50449, 52832, 50828, 52376, 51413, 51667, 51472, 79084, 50373, 52258, 51279, 51447, 68930, 75474, 51028, 51535, 50968, 51535, 51926, 55776, 56939, 55776, 54103, 51413, 50415, 51216, 51518, 51510, 50854, 51768, 53199, 68412, 52832, 50828, 52522, 50828, 52135, 51073, 51658, 60433, 50844, 51027, 63893, 59772, 68218, 61665, 50857, 54103, 51124, 51652, 51124, 51618, 64827, 65700, 50839, 56724, 50839, 52457, 51446, 79084, 50373, 52258, 51120, 51447, 50989, 51535, 75474, 72144, 50902, 51535, 52405, 55776, 53506, 55776, 65576, 51562, 63701, 51562, 50415, 51389, 51790, 51768, 53199, 68412, 63701, 51162, 55066, 51162, 52376, 51345, 51658, 60433, 50844, 50989, 59772, 60982, 59086, 63956, 55822, 53363, 52457, 53363, 51652, 54527, 79084, 50373, 52258, 51214, 51671, 50899, 52919, 50861, 52919, 50973, 52919, 51384, 61489, 54294, 61489, 50415, 51098, 51518, 51510, 50854, 51768, 53199, 63024, 52228, 51112, 51658, 60433, 50844, 52491, 50991, 51618, 64827, 52891, 51566, 51034, 51389, 51675, 50801, 50373, 52258, 51510, 66659, 52491, 51500, 51768, 50844, 51718, 51861, 61868, 52228, 51013, 51658, 60433, 50376, 51861, 50810, 50973, 53743, 53636, 50449, 56724, 50918, 55822, 50918, 52457, 51356, 79084, 55249, 50854, 51214, 53454, 50415, 51098, 51692, 56978, 52919, 51768, 53199, 65860, 54143, 58319, 51218, 50436, 56724, 50914, 55822, 50914, 52376, 52424, 50903, 50844, 50973, 55200, 50902, 51486, 50449, 55822, 51127, 52457, 51127, 51652, 50918, 79515, 51803, 50801, 55249, 50854, 50973, 51742, 51510, 50854, 51768, 53199, 68412, 55822, 50943, 52457, 50943, 51667, 52424, 50903, 50844, 58882, 50449, 52457, 51486, 51652, 51486, 52135, 51161, 79084, 55249, 50854, 51214, 52528, 50899, 51939, 50861, 51939, 50973, 51939, 50415, 51098, 51518, 51768, 53199, 54181, 50903, 50844, 79084, 55249, 50854, 51214, 52140, 50899, 51314, 50916, 51742, 50861, 51662, 50973, 51939, 51652, 51790, 52135, 51790, 52113, 51591, 50415, 51098, 51790, 51768, 53199, 54181, 50903, 50844, 51026, 51645, 55989, 50974, 79084, 55249, 50854, 51315, 52015, 51086, 51679, 50899, 51542, 50916, 51318, 50965, 51318, 52522, 50834, 52185, 51448, 52135, 51448, 51633, 51417, 50415, 51493, 51518, 51768, 53199, 54181, 50903, 50844, 51086, 51277, 50899, 64233, 50974, 52457, 51159, 52185, 51159, 52135, 51048, 79084, 55249, 50854, 51315, 52441, 51086, 51679, 50899, 51310, 50916, 51318, 50965, 51477, 52457, 51562, 52185, 51562, 51643, 51413, 50415, 51493, 51518, 51768, 53199, 53911, 51086, 51477, 50436, 52457, 51109, 52185, 51109, 52135, 51159, 59015, 50844, 50899, 51400, 50444, 75729, 50448, 55066, 52903, 52832, 52903, 52376, 52045, 79084, 55249, 50854, 51279, 51671, 50916, 52919, 50877, 52919, 50876, 52919, 50415, 51216, 51518, 51510, 66659, 52228, 51290, 51768, 53199, 54181, 50903, 50844, 52491, 51345, 50449, 52891, 51055, 51034, 51984, 51675, 50801, 55249, 50854, 51768, 53199, 50854, 52491, 56158, 50903, 50844, 59855, 52228, 51362, 50449, 65700, 50828, 55066, 51413, 52457, 51472, 79084, 55249, 50854, 51120, 51671, 50989, 52919, 50877, 52919, 50876, 52919, 50902, 52919, 63701, 51413, 50415, 51389, 51518, 51768, 53199, 68412, 63701, 51267, 55066, 51267, 52376, 51157, 59015, 64913, 55066, 51413, 52832, 51413, 52522, 51472, 51034, 51216, 51675, 50801, 55249, 50854, 51510, 50854, 51768, 53199, 54181, 50903, 50844, 80255, 52832, 51025, 52522, 51025, 51667, 51162, 79084, 55249, 69303, 54143, 50877, 54143, 50876, 54143, 50902, 54143, 52522, 51518, 51667, 51518, 51643, 51538, 50415, 51389, 51518, 51768, 53199, 54181, 50903, 64913, 52522, 51486, 51667, 51486, 52113, 51933, 51034, 51216, 51675, 50801, 55249, 50854, 51768, 53199, 54181, 50903, 50844, 50989, 53131, 50313, 53131, 50316, 53131, 50318, 51254, 50449, 52522, 51413, 51667, 51413, 51633, 51472, 79084, 55249, 50854, 51120, 53454, 50415, 51389, 51518, 51510, 50854, 51768, 53199, 65860, 54143, 50432, 50989, 51218, 50436, 52522, 51377, 51667, 51377, 52226, 51112, 59015, 50844, 50877, 55200, 50876, 51486, 50448, 52522, 51413, 51667, 51413, 51643, 51472, 51034, 51216, 51675, 50801, 55249, 69539, 51742, 51768, 53199, 68412, 52522, 51025, 51667, 51025, 51643, 51162, 59015, 50844, 68532, 50448, 52457, 52903, 51652, 52903, 52135, 54300, 79084, 55249, 65860, 54143, 50861, 54143, 50973, 54143, 50415, 51098, 51692, 50425, 52228, 51345, 51768, 53199, 63443, 52491, 51227, 59015, 64913, 52891, 51290, 79515, 51803, 50801, 55249, 66659, 52491, 51227, 51768, 53199, 63443, 52228, 51290, 59015, 50844, 50899, 74998, 53131, 50315, 51254, 79084, 55249, 50854, 51214, 53454, 56724, 51103, 55822, 51103, 52457, 51336, 50415, 51098, 51518, 56978, 52919, 51768, 53199, 65860, 54143, 58319, 51218, 50437, 56724, 50914, 55822, 50914, 52376, 52424, 50903, 50844, 50973, 55200, 50902, 51486, 51034, 51389, 51675, 50801, 55249, 50854, 50973, 51742, 55822, 51103, 52457, 51103, 51652, 50918, 51510, 50854, 51768, 53199, 63443, 55822, 51159, 52457, 51159, 51667, 51073, 59015, 50844, 58882, 50449, 52457, 51486, 51652, 51486, 52135, 51933, 79084, 55249, 50854, 51214, 52015, 50899, 51679, 50861, 51542, 50973, 51318, 50902, 51318, 50415, 51098, 51518, 51768, 53199, 50854, 51026, 55002, 59015, 50844, 50899, 51277, 50861, 68219, 50974, 50449, 51652, 51518, 52135, 51518, 52113, 51538, 79084, 55249, 50854, 51214, 52140, 50899, 51314, 50916, 51742, 50861, 51662, 50973, 51939, 50415, 51098, 51518, 51510, 50854, 51768, 53199, 54181, 50903, 50844, 51026, 51645, 55989, 50974, 50448, 52522, 50841, 52135, 51417, 51633, 51291, 79084, 55249, 50854, 51214, 53454, 52457, 51417, 50415, 51098, 51692, 56978, 52919, 51768, 53199, 65860, 54143, 58319, 51218, 50435, 52457, 50915, 51652, 50915, 52135, 56389, 50903, 50844, 50973, 55200, 50902, 51486, 50447, 55822, 51103, 52457, 51103, 51667, 51336, 79515, 51803, 50801, 55249, 50854, 50973, 51742, 51768, 53199, 56529, 55822, 50943, 52457 ]
[ 0, 713, 17627, 17274, 5175, 3495, 2214, 6, 278, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 1575, 10, 20902, 11739, 9, 2236, 1021, 2678, 29, 6, 3152, 6757, 6, 21072, 6, 486, 118, 9877, 483, 6, 8, 13305, 4, 20, 33301, 16, 3185, 30, 41, 20425, 12447, 1001, 20889, 9, 12312, 163, 5683, 6, 2351, 10, 33558, 8, 2365, 5466, 19, 10, 11602, 9, 1619, 9450, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 274, 8, 272, 119, 406, 6, 8216, 7, 5, 2214, 18, 1374, 32076, 8, 15352, 30054, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50796, 53028, 55229, 56270, 56890, 51471, 50799, 52517, 51058, 52088, 51006, 52086, 51006, 52561, 51006, 50964, 53656, 67152, 53420, 52517, 50827, 52088, 50874, 52086, 50874, 52561, 50827, 50953, 57104, 52517, 51006, 52088, 51006, 52086, 51058, 52561, 51058, 50964, 57685, 67853, 53575, 52517, 50874, 52088, 50827, 52086, 50827, 52561, 50827, 50953, 56180, 52517, 51006, 52088, 51058, 52086, 51058, 52561, 51058, 50964, 57685, 67152, 53594, 52517, 50827, 52088, 50874, 52086, 50827, 52561, 50827, 50953, 58175, 52517, 51006, 52088, 51006, 52086, 51006, 52561, 51058, 50964, 53656, 67152, 53553, 52517, 50827, 52088, 50874, 52086, 50874, 52561, 50874, 50953, 51008, 50461, 51070, 50835, 50799, 55760, 61373, 56813, 59802, 52024, 50420, 53366, 50805, 51070, 52917, 53038, 50805, 50431, 51070, 53575, 52746, 51646, 51070, 58616, 51070, 53594, 53038, 51798, 51964, 50805, 50455, 51070, 53553, 72398, 50799, 51070, 61132, 51070, 53575, 52517, 50838, 52088, 50974, 52086, 50838, 52561, 50838, 51070, 57667, 51070, 52875, 53366, 50805, 51070, 50371, 50790, 50560, 52802, 52517, 50974, 52088, 50838, 52086, 50974, 52561, 50838, 51837, 50880, 53519, 50880, 55374, 50880, 53038, 50805, 50455, 51070, 53553, 51964, 69189, 51070, 50835, 50799, 55760, 50805, 54753, 63560, 53366, 50805, 51070, 52917, 53038, 55185, 52925, 52746, 50805, 51070, 53018, 51070, 53162, 53038, 50805, 51070, 52805, 51964, 55185, 53268, 52785, 50795, 51070, 57243, 51070, 50835, 50799, 54488, 50846, 52301, 50808, 51829, 50805, 55193, 62192, 52836, 50938, 50419, 51070, 53420, 52301, 52450, 51829, 50830, 55193, 50830, 52836, 50938, 58073, 54640, 59483, 51070, 53575, 52301, 50889, 51829, 50889, 52836, 50889, 55193, 50807, 53222, 57405, 51070, 60862, 51070, 53594, 56723, 53366, 50805, 56322, 50818, 51579, 50880, 52336, 55206, 57740, 54753, 57415, 51186, 50805, 53038, 50805, 55193, 50805, 52629, 50880, 51579, 51139, 53966, 63318, 51070, 53553, 51133, 50805, 51964, 50795, 52836, 66684, 50805, 51341, 50805, 51020, 50805, 51193, 51060, 52336, 50880, 51579, 54451, 51044, 54625, 50798, 50829, 52534, 50795, 55760, 50795, 54753, 51492, 51341, 51003, 51020, 50915, 51193, 51003, 51118, 50915, 51070, 54366, 55274, 67853, 56260, 59802, 75361, 56723, 53366, 50805, 51070, 55623, 53150, 58819, 53038, 60109, 50818, 51341, 68204, 50846, 51193, 58549, 58064, 59278, 51070, 53575, 73514, 52746, 50805, 70658, 51118, 50846, 51341, 50818, 51020, 50846, 51193, 52922, 51539, 55274, 52875, 51186, 50805, 53038, 66684, 50820, 51341, 50820, 65062, 51193, 54018, 52223, 53618, 53409, 58531, 51964, 66684, 50818, 51341, 68204, 50846, 51193, 51239, 58064, 54518, 63318, 51070, 53553, 61269, 52785, 66684, 50805, 51341, 58281, 69728, 51111, 52105, 71635, 78429, 59870, 50845, 51118, 51101, 51070, 54366, 55274, 51750, 63632, 51070, 53420, 51118, 50846, 51341, 68204, 73818, 51044, 52870, 51118, 50839, 51341, 50820, 63488, 51023, 50378, 50790, 50560, 54518, 51044, 61682, 59278, 51070, 53575, 51118, 50818, 51341, 68204, 73818, 51239, 53116, 51070, 51539, 55274, 53162, 56723, 53366, 66684, 78319, 58281, 69728, 51111, 51070, 50371, 50790, 50560, 54147, 53618, 53409, 51186, 50805, 53038, 66684, 50820, 51341, 50839, 63488, 51023, 51467, 58064, 54518, 53685, 51133, 50805, 51964, 66684, 50846, 51341, 68204, 50818, 51023, 52922, 52223, 50841, 52534, 50795, 55760, 60109, 51003, 51341, 50915, 51020, 51003, 51193, 50915, 51070, 54366, 55274, 51750, 53829, 56723, 53366, 50805, 51070, 55623, 53150, 51186, 50805, 53038, 66684, 50818, 51341, 50818, 51020, 73938, 51044, 53966, 59520, 52953, 73514, 52746, 66684, 50818, 51341, 68204, 73938, 52922, 52223, 57320, 51070, 52621, 51118, 50839, 51341, 50820, 63488, 51193, 58064, 51750, 53806, 51186, 50805, 53038, 66684, 50846, 51341, 50818, 51020, 73938, 52922, 56240, 51179, 53083, 58531, 51964, 52918, 51179, 61682, 53017, 55436, 52785, 60109, 78319, 58281, 57965, 51111, 51070, 52223, 54814, 50798, 57335, 51070, 50835, 50799, 54488, 50846, 55193, 51204, 51829, 51141, 51341, 50901, 51020, 50901, 51023, 50845, 51118, 51177, 52358, 55274, 56075, 52836, 51091, 50419, 51070, 53420, 51118, 50818, 51341, 68204, 73818, 51044, 52870, 51341, 50901, 51020, 50901, 51023, 50901, 51118, 51177, 58073, 55018, 51179, 61682, 52953, 51829, 50807, 52836, 50807, 55193, 50807, 51118, 50846, 51341, 68204, 50818, 51023, 52922, 52223, 57320, 51070, 52621, 51020, 51370, 55274, 52875, 60908, 53366, 50805, 56322, 50846, 51193, 50795, 51579, 50880, 52336, 58724, 50371, 50790, 50560, 55136, 53347, 60372, 54753, 57415, 51186, 50805, 53038, 50805, 55193, 74423, 50805, 52629, 50880, 51579, 63856, 67853, 53966, 63318, 51070, 53553, 51133, 50805, 51964, 50795, 51280, 50806, 51561, 72306, 50911, 51308, 50911, 52836, 66684, 50805, 51341, 50805, 51020, 57965, 51111, 51579, 50880, 52336, 50930, 66951, 60634, 51070, 50835, 50799, 51813, 50889, 55917, 55760, 50805, 54753, 52024, 52047, 78319, 51003, 51020, 51003, 51193, 51003, 51118, 51003, 51587, 55136, 69485, 56260, 59802, 52024, 50420, 60908, 53366, 50805, 51401, 50805, 51070, 55623, 53150, 51855, 50910, 58819, 53038, 60109, 50846, 51341, 68204, 73938, 50818, 51557, 51626, 55274, 51750, 52667, 51813, 50830, 52053, 50805, 52746, 78319, 50805, 51070, 52223, 52950, 51882, 50807, 51070, 57423, 51750, 62860, 51070, 53594, 58819, 53038, 50795, 51557, 60109, 78319, 58281, 50805, 51193, 51060, 52358, 53083, 51855, 50938, 58531, 51964, 66684, 50839, 51341, 50820, 65062, 51193, 77356, 52918, 51179, 61682, 58677, 51070, 53553, 51813, 50830, 61269, 52785, 50795, 51280, 50911, 51561, 50911, 51119, 50806, 51616, 66684, 50805, 51341, 50805, 51020, 57965, 51111, 52105, 50461, 51070, 50835, 50799, 51882, 50889, 51341, 78429, 59870, 50845, 51118, 51177, 52358, 59520, 61132, 51070, 53420, 51118, 50846, 51341, 50818, 51020, 73818, 51044, 52870, 51855, 74428, 50820, 51341, 50820, 65062, 51023, 53784, 51044, 58064, 52818, 51813, 74428, 50846, 51341, 50818, 51020, 73818, 52922, 52223, 52950, 51882, 50807, 51070, 51539, 59520, 58616, 51070, 53594, 60908, 53366, 63215, 60109, 50805, 51341, 58281, 57965, 65764, 52493, 53068, 51855, 50830, 51186, 50805, 53038, 60109, 50839, 51341, 50839, 63488, 51023, 50839, 51557, 52918, 51044, 58064, 59842, 51070, 53553, 51813, 50830, 51133, 50805, 51964, 50805, 51280, 50806, 51561, 50806, 75916, 51308, 73734, 50818, 51341, 50818, 51020, 50818, 51023, 50846, 51118, 51370, 50841, 50799, 51813, 50807, 61415, 55760, 50795, 52047, 60109, 50915, 51341, 50915, 51020, 50915, 51193, 50915, 51070, 51539, 55274, 55136, 63632, 51070, 53420, 60908, 53366, 63215, 52472, 53516, 51855, 50938, 58819, 53038, 60109, 50846, 51341, 68204, 50846, 51193, 50818, 51557, 52918, 51044, 58064, 60741, 51070, 53575, 51813, 50830, 52053, 50805, 52746, 60109, 50846, 51341, 68204, 73938, 50846, 51341, 50805, 70658, 51882, 50807, 51118, 50820, 51341, 50820, 65062, 51193, 53518, 57423, 51750, 53806, 51186, 50805, 53038, 66684, 50846, 51341, 68204, 73938, 50846, 51557, 50795, 51070, 56240, 51044, 53083, 51855, 50830, 51133, 50805, 51964, 60109, 52918, 51044, 58064, 53017, 51813, 50830, 55436, 72398, 51280, 50806, 51561, 50806, 51119, 50806, 51616, 66684, 78319, 58281, 69728, 51060, 51070, 52223, 54625, 50798, 57335 ]
[ 0, 250, 15855, 19834, 15229, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 2351, 10, 25306, 8, 19448, 5466, 4, 20, 2125, 16, 11, 163, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8403, 13410, 228, 2289, 6, 8, 22848, 15352, 30054, 33083, 14, 35334, 10, 1472, 9, 9066, 2821, 16235, 6, 150, 67, 11602, 154, 23, 10, 1619, 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 ]	[ 57530, 50796, 50456, 56590, 52015, 51601, 50654, 50334, 52045, 58312, 52071, 50420, 55741, 52916, 50426, 53022, 75925, 50727, 50327, 50808, 61370, 53259, 50435, 74854, 51724, 50727, 50327, 52045, 52239, 51391, 50444, 50727, 50327, 62236, 56590, 51803, 50447, 74854, 51757, 50727, 50327, 52045, 50457, 55741, 50942, 51601, 56163, 51945, 50423, 55479, 54830, 50427, 52822, 52168, 50433, 53139, 52335, 50451, 61370, 51196, 50461, 53856, 52069, 50799, 55402, 51097, 50415, 59940, 55385, 53022, 54829, 50427, 52248, 73078, 70776, 68484, 52269, 51591, 50435, 50727, 50330, 51724, 50727, 50332, 51343, 50444, 70776, 56762, 50727, 50330, 51757, 50727, 50332, 51343, 52449, 51353, 50456, 50727, 50330, 50859, 53022, 50987, 50459, 70776, 50859, 50799, 50727, 50327, 51655, 55479, 51151, 54106, 51605, 50420, 50727, 50330, 50859, 52706, 56599, 50423, 70776, 53950, 50727, 50327, 51655, 52239, 51677, 50432, 53388, 51749, 50460, 54106, 50984, 50799, 53652, 51077, 60117, 51336, 55402, 54300, 50420, 52706, 79416, 50727, 50296, 61033, 53381, 51013, 50428, 50727, 50299, 61938, 50727, 50303, 58734, 50727, 50306, 57160, 50727, 50309, 59347, 50727, 50313, 54288, 70210, 59990, 77526, 56305, 50727, 50323, 52600, 50727, 50327, 50839, 70776, 51095, 50439, 53282, 51274, 54106, 51343, 55741, 51446, 50446, 50727, 50327, 51215, 50449, 53564, 67081, 70776, 51095, 50454, 74854, 73499, 53381, 51100, 50458, 50727, 50327, 51215, 51057, 50727, 50323, 50980, 58312, 51055, 53559, 51290, 53139, 51356, 50418, 74854, 72598, 50727, 50327, 50948, 50727, 50323, 50980, 50427, 54999, 50991, 52706, 51159, 52449, 51346, 50432, 50727, 50332, 53660, 50727, 50334, 50821, 50799, 50727, 50327, 50948, 50727, 50335, 52500, 53395, 51896, 63275, 51538, 50415, 53559, 51077, 53139, 79767, 50727, 50332, 54007, 50727, 50334, 52422, 50727, 50335, 52500, 50456, 56184, 54484, 50799, 53856, 55490, 50419, 53022, 51145, 50425, 55402, 53363, 52248, 51671, 50431, 56590, 51748, 50432, 50727, 50327, 59894, 70776, 51192, 50443, 53559, 51422, 50444, 50727, 50327, 50948, 50446, 50727, 50327, 66070, 70776, 51192, 50452, 53022, 52254, 50454, 74854, 51192, 50458, 50727, 50327, 51192, 50799, 50727, 50323, 51226, 53139, 51310, 50418, 74854, 51192, 50419, 53856, 51662, 50426, 50727, 50323, 51226, 53022, 63160, 50431, 52248, 51749, 50432, 77526, 53660, 50727, 50322, 55381, 50727, 50323, 66442, 77526, 50821, 52449, 52011, 50446, 50727, 50322, 51192, 50447, 50727, 50322, 50882, 50449, 53559, 64949, 50727, 50323, 51173, 50454, 77526, 68179, 52248, 70634, 50727, 50322, 51192, 50461, 55741, 51161, 53282, 52024, 50799, 50727, 50323, 52195, 53139, 51359, 50418, 77526, 68114, 50727, 50323, 52195, 50432, 52239, 77494, 50727, 50327, 54787, 50727, 50331, 53153, 50727, 50323, 50859, 52248, 51313, 50453, 74854, 54418, 50727, 50327, 50858, 50727, 50327, 54863, 50727, 50331, 50821, 50727, 50331, 50894, 61791, 50727, 50323, 50859, 50727, 50334, 68621, 55741, 56599, 53388, 55490, 52239, 59125, 50417, 74854, 50859, 50727, 50335, 53113, 50727, 50327, 50858, 50727, 50334, 51685, 50423, 50727, 50331, 54631, 50727, 50334, 57781, 50727, 50335, 52686, 50727, 50334, 51685, 50438, 51335, 51306, 50439, 51335, 51258, 50440, 51335, 50364, 51865, 66065, 51335, 51004, 50442, 51335, 65112, 51335, 50367, 51865, 53858, 51335, 59892, 51335, 59265, 51335, 69417, 54673, 51335, 62749, 51335, 57723, 51335, 67853, 52772, 51335, 57136, 51335, 63075, 51335, 61731, 54859, 51335, 59617, 51335, 60233, 51335, 63055, 53173, 51335, 57430, 51335, 56637, 51335, 69485, 56924, 51335, 65493, 51335, 67327, 51335, 68739, 50949, 50799, 51558, 52988, 51182, 51445, 58312, 50835, 53022, 51991, 53139, 50995, 56590, 51486, 51335, 56621, 53388, 52140, 50423, 53339, 53950, 53339, 50865, 53559, 51742, 50432, 52196, 56535, 51946, 56359, 52196, 59826, 53139, 76297, 50441, 51946, 51175, 53721, 54988, 61370, 70388, 50654, 50334, 58760, 59940, 73184, 56590, 52392, 50461, 51304, 51313, 51266, 51449, 51601, 55402, 51538, 52822, 51894, 50421, 52239, 54830, 50426, 53064, 50859, 52269, 51518, 50429, 51946, 63385, 52196, 54362, 51946, 51345, 53559, 52222, 50447, 51236, 55230, 59940, 51196, 51889, 56328, 56184, 51121, 50455, 55402, 62990, 53139, 51310, 50461, 51304, 51445, 51284, 51313, 50799, 53856, 53588, 50420, 53022, 54830, 50423, 52196, 65418, 52248, 74612, 52196, 65337, 52196, 70328, 52269, 51183, 50434, 51946, 65582, 52449, 51141, 53139, 68499, 52196, 59357, 53339, 56762, 52196, 51175, 50913, 54353, 51946, 50858, 52248, 62355, 52196, 63604, 51266, 51166, 51600, 51148, 51558, 51313, 50799, 53339, 50980, 55741, 51605, 56590, 52536, 53559, 51364, 54106, 51264, 50426, 53339, 50859, 53381, 51244, 50429, 52196, 54154, 52196, 50858, 53388, 51318, 50435, 53780, 51362, 50437, 51395, 51562, 50438, 53282, 51417, 50450, 53564, 79195, 54403, 52269, 50892, 50799, 51304, 51148, 51733, 51047, 56163, 51661, 53139, 50948, 52449, 50936, 50417, 55479, 67729, 52822, 50896, 50423, 54012, 50858, 53022, 52910, 54012, 65337, 57570, 52686, 52239, 51111, 50434, 53883, 56535, 52822, 61055, 51284, 67608, 57570, 50936, 51384, 51703, 54999, 51285, 53381, 51362, 52248, 51274, 50441, 53856, 51295, 50444, 54012, 71643, 52706, 51274, 50447, 52601, 51167, 50448, 52269, 62805, 52601, 57264, 52601, 65706, 51182, 51108, 51558, 51003, 50799, 52601, 50821, 55479, 51238, 53139, 51013, 56590, 51013, 50417, 54012, 50858, 52706, 51534, 50420, 52601, 50948, 52239, 69904, 52449, 50925, 50425, 51600, 51108, 51284, 57908, 52601, 50936, 54106, 50991, 60117, 51345, 53652, 51896, 50429, 52706, 55378, 52196, 50858, 53381, 57807, 53339, 50821, 53388, 51627, 50437, 51558, 51183, 51182, 64345, 52196, 50858, 58312, 51291, 53559, 51472, 53139, 51294, 50441, 51946, 51379, 50447, 51236, 55230, 53022, 51199, 51889, 73361, 51266, 53588, 51304, 51243, 52269, 51351, 52449, 50807, 50799, 56163, 51605, 53559, 52392, 53139, 52536, 50419, 55479, 52916, 50423, 51836, 68208, 52822, 51790, 50426, 51836, 58129, 51836, 70192, 52269, 52440, 50437, 52239, 51391, 50438, 54012, 59357, 54012, 54787, 53883, 76335, 54012, 51095, 50460, 51284, 51047, 50461, 51266, 51145, 50799, 53282, 52151, 55741, 55116, 50415, 53388, 52528, 50426, 57570, 57611, 57570, 56535, 53883, 64141, 51600, 51145, 51558, 60934, 57570, 50858, 52248, 53233, 50441, 53883, 54651, 57570, 51541, 50461, 51395, 51353, 50799, 51558, 51097, 51558, 51313, 71627, 51016, 56590, 51345, 50426, 51284, 50943, 71960, 51013, 55402, 51025, 50437, 51182, 56692, 61370, 51013, 50439, 56184, 59731, 51600, 51003, 51335, 51306, 50451, 61069, 51345, 50654, 50334, 51073, 51335, 51129, 50452, 51335, 50365, 51865, 60491, 51335, 67827, 51335, 61634, 51335, 66816, 53217, 51335, 57534, 51335, 57029, 51335, 63465, 54814, 51335, 61698, 51335, 56904, 51335, 67123, 50883, 73296, 53577, 51266, 55490, 51558, 51449, 51182, 52204, 58312, 51933, 51493, 51274, 51335, 58410, 61370, 51013, 56590, 50807, 59940, 50807, 50421, 55741, 56329, 50423, 53339, 54149, 53339, 50948, 50427, 53022, 56217, 51836, 50821, 53388, 51191, 50435, 53339, 50895, 51668, 72581, 51836, 56360, 53139, 54089, 53559, 51013, 51984, 58909, 53339, 51167, 53262, 54952, 53022, 51189, 52078, 51354, 53721, 54988, 53388, 51048, 50453, 53262, 54403, 54999, 50865, 51984, 54863 ]
[ 0, 713, 33558, 5175, 2214, 1575, 10, 11739, 9, 6755, 12547, 6, 13305, 6, 21979, 8, 3459, 29589, 6, 8, 38668, 11212, 6, 2351, 10, 15352, 30054, 8, 11653, 5466, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 1769, 20889, 9, 10529, 163, 5683, 6, 5, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 272, 119, 406, 6, 230, 6, 8, 274, 4620, 5, 46336, 24456, 9, 42, 17627, 17274, 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 ]	[ 56236, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 61357, 50967, 51303, 50967, 51414, 50967, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 51343, 51638, 51492, 51251, 51492, 51154, 51492, 51165, 50918, 52095, 52054, 53611, 58172, 51248, 52492, 51039, 53611, 54252, 55285, 56081, 51420, 53220, 51410, 50855, 51303, 50855, 51414, 54345, 51049, 52765, 51410, 50867, 51303, 50867, 51414, 50867, 51037, 50955, 74055, 55285, 50867, 66058, 54524, 57387, 54378, 51526, 51239, 50372, 52492, 50438, 51303, 50967, 51249, 50967, 51327, 50967, 51457, 50967, 51526, 51215, 51113, 59770, 52085, 57366, 52021, 51535, 51248, 52492, 50444, 51037, 51477, 57387, 55118, 55285, 50904, 50848, 51679, 50850, 51412, 51526, 51111, 71330, 51303, 50855, 51249, 50855, 51327, 50855, 51457, 54345, 51049, 52809, 51303, 50867, 51249, 50867, 51327, 50867, 51457, 50867, 52066, 50456, 55285, 50867, 58056, 51526, 53417, 50812, 76362, 61357, 51551, 51303, 51551, 51414, 51551, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 51227, 51165, 50918, 52506, 52085, 58172, 51248, 52492, 51039, 53611, 54252, 52584, 51235, 79451, 65250, 52765, 51037, 50955, 74055, 66058, 55298, 54273, 50812, 57387, 54378, 51248, 52492, 50438, 51303, 51551, 51249, 51551, 51327, 51551, 51457, 51551, 52021, 51542, 50848, 51419, 78949, 51526, 50924, 51113, 59770, 52085, 57366, 73517, 50371, 52492, 50444, 54524, 57387, 55118, 51526, 51582, 54596, 55298, 53338, 51049, 52809, 68069, 55298, 50897, 52066, 50456, 65491, 51526, 52153, 54421, 52636, 50851, 61357, 51551, 51303, 51551, 51414, 51551, 51526, 51227, 51165, 50918, 52506, 52085, 58172, 52021, 51535, 51248, 52492, 58082, 51477, 57387, 54252, 50872, 51679, 51007, 51412, 52584, 51235, 52506, 66826, 53365, 51532, 54150, 55298, 54273, 50812, 57387, 54378, 51248, 52492, 50438, 51303, 50967, 51249, 50967, 51327, 50967, 51457, 50967, 51526, 51227, 51113, 59770, 52085, 57366, 52021, 51295, 50852, 50371, 52492, 50444, 74732, 57387, 55118, 55285, 50904, 50848, 51542, 69590, 52584, 51235, 71330, 51303, 50855, 51249, 50855, 51327, 50855, 51457, 54345, 51049, 52809, 51303, 50867, 51249, 50867, 51327, 50867, 51457, 50867, 52066, 50456, 55285, 50867, 55298, 51575, 50812, 76362, 61357, 51551, 51303, 51551, 51414, 51551, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 51227, 51165, 50918, 52957, 57798, 50822, 53214, 50907, 51039, 67194, 54252, 52584, 51235, 51553, 50810, 51544, 54592, 50579, 55658, 51037, 65245, 52749, 66058, 55298, 51239, 56537, 50579, 53611, 54378, 51526, 52502, 54584, 51303, 51309, 51249, 51309, 51327, 51309, 51457, 51309, 52021, 51542, 50848, 51419, 78949, 51526, 51215, 51113, 50918, 51895, 50994, 57366, 51224, 50380, 52492, 51180, 67194, 55118, 51303, 50820, 51249, 50820, 51327, 50820, 51457, 50820, 51526, 51111, 51289, 64824, 67786, 62375, 68069, 51289, 52863, 65491, 51526, 67105, 51049, 65319, 52234, 52054, 50810, 61357, 51309, 51303, 51309, 51414, 51309, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 50924, 51165, 50918, 52095, 52054, 53611, 58172, 51248, 52492, 51039, 53611, 54252, 51410, 50820, 51303, 50820, 51414, 50820, 51526, 52423, 51420, 53220, 55298, 50895, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 52957, 52765, 51037, 50955, 55298, 50897, 74055, 66058, 67180, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 54524, 57387, 54378, 51248, 52492, 50438, 51303, 51309, 51249, 51309, 51327, 51309, 51457, 51309, 51526, 51343, 51113, 50918, 51256, 50811, 51893, 50811, 52693, 50811, 55796, 51156, 52085, 57366, 52021, 51535, 51248, 52492, 50444, 51037, 51477, 51256, 51059, 51893, 51059, 52693, 51059, 55796, 51059, 57387, 55118, 51303, 50820, 51249, 50820, 51327, 50820, 51457, 61585, 51679, 50850, 51412, 52066, 70508, 51647, 54622, 50909, 57837, 54421, 51526, 51239, 50851, 61357, 50967, 51303, 50967, 51414, 50967, 51526, 50924, 51165, 50918, 51209, 51059, 52004, 51059, 52507, 51059, 56336, 51059, 52506, 52085, 58172, 52021, 51535, 51248, 52492, 58082, 51477, 57387, 54252, 55285, 50904, 50872, 51679, 51007, 51412, 51526, 52423, 51420, 53220, 51410, 50855, 51303, 50855, 51414, 50855, 55298, 53338, 51049, 52765, 51410, 50867, 51303, 50867, 51414, 50867, 55298, 50897, 74055, 55285, 50867, 67180, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 54524, 57387, 54378, 51248, 52492, 50438, 51303, 51551, 51249, 51551, 51327, 51551, 51457, 51551, 52021, 51542, 50848, 51419, 78949, 51526, 51175, 51113, 50918, 51322, 50860, 51390, 50860, 52583, 50860, 53679, 52715, 52085, 57366, 50801, 59661, 52492, 50444, 52000, 51029, 51408, 51029, 54522, 51029, 53361, 51029, 54524, 57387, 55118, 51526, 51049, 50851, 67369, 52809, 68069, 52066, 50456, 65491, 51526, 56022, 54421, 73517, 50822, 66513, 51309, 51651, 51309, 51414, 51309, 51457, 51309, 52021, 51542, 50848, 51419, 50992, 51391, 51526, 51343, 51375, 50918, 52506, 52085, 58172, 51248, 52492, 51039, 53611, 54252, 51303, 50820, 51651, 50820, 51414, 50820, 51457, 54169, 51420, 50851, 65250, 52765, 51396, 50955, 74055, 65491, 52000, 50860, 51408, 50860, 54522, 50860, 53361, 50860, 54524, 57387, 54378, 51526, 51239, 50372, 52492, 50438, 51303, 51309, 51231, 51309, 51414, 51309, 51457, 51309, 52021, 51047, 50848, 51047, 75092, 51526, 51227, 77853, 51322, 51066, 51390, 51066, 52583, 51066, 53679, 58834, 52085, 57366, 51248, 52492, 51180, 53611, 55118, 51303, 50820, 51231, 50820, 51414, 50820, 51457, 50820, 52584, 51235, 71330, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 52957, 52809, 50988, 53096, 52066, 50456, 55298, 50846, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 52715, 54421, 51526, 51239, 50851, 66513, 51351, 51651, 51351, 51414, 51351, 51457, 51351, 52021, 51542, 50848, 51419, 50992, 51391, 51526, 51227, 75920, 51209, 51066, 52004, 51066, 52507, 51066, 56336, 51066, 52506, 52085, 58172, 51248, 52492, 51039, 53611, 54252, 52584, 51235, 52506, 53220, 51322, 50860, 51390, 50860, 52583, 50860, 53679, 50860, 52957, 52765, 55285, 50941, 51396, 50955, 74055, 51303, 50841, 51651, 50841, 51414, 50841, 51457, 62660, 50959, 55298, 50846, 51256, 50811, 51893, 50811, 52693, 50811, 55796, 52750, 50812, 57387, 54378, 55285, 50891, 51526, 51239, 50372, 52492, 50438, 51303, 51551, 51231, 51551, 51414, 51551, 51457, 51551, 51526, 51227, 51088, 59770, 52085, 57366, 52021, 51535, 50801, 59661, 52492, 50444, 51037, 51477, 51256, 51059, 51893, 51059, 52693, 51059, 55796, 51059, 54524, 57387, 55118, 50848, 51679, 50847, 51412, 52584, 51235, 52066, 70508, 51647, 54622, 63573, 55298, 51239, 54421, 51526, 54376, 51373, 50851, 61323, 51551, 51303, 51551, 51249, 51551, 51132, 51227, 52506, 52085, 58172, 51164, 51535, 51248, 52492, 57783, 51477, 57387, 54252, 50872, 51679, 50909, 51412, 51416, 51235, 52506, 66826, 53365, 51532, 54150, 52584, 54273, 50812, 57387, 54378, 51248, 52492, 50438, 51687, 51551, 51303, 51551, 51249, 51551, 51327, 51551, 51164, 51542, 50979, 51419, 78949, 51132, 51175, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 52715, 52085, 57366, 51248, 52492, 50444, 51256, 51066, 51893, 51066, 52693, 51066, 55796, 51066, 57387, 55118, 51132, 51049, 50851, 67369, 52809, 68069, 52066, 50456, 50979, 50959, 75430, 51256, 50860, 51893, 50860, 52693, 50860, 55796 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 4246, 21072, 6, 5730, 2342, 4467, 6, 38668, 11212, 6, 38668, 483, 6, 8, 36075, 8669, 6, 278, 11, 10, 1769, 132, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 3694, 6, 19, 5, 1049, 40286, 145, 230, 119, 8, 2060, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 76178, 58700, 55811, 51846, 55811, 50986, 55811, 51511, 51376, 51143, 51376, 51344, 51376, 50420, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 58116, 51504, 52514, 51246, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 54689, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 61036, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 55487, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 71113, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 73505, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 58554, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55256, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 60754, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55835, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 61545, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 50971, 58700, 55811, 51846, 55811, 50986, 55811, 51511, 51376, 51143, 51376, 51344, 51376, 50420, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 58116, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 54689, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 61036, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 55487, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 71113, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 73505, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 58554, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55256, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 60754, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55835, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 61545, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 50971, 58700, 55811, 51846, 55811, 50986, 55811, 51511, 51376, 51143, 51376, 51344, 51376, 50420, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 58116, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 54689, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 61036, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 55487, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 71113, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 73505, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 58554, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55256, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 60754, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55835, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 61545, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 50971, 50799, 51846, 55811, 51317, 55811, 50970, 55811, 51548, 51376, 51344, 51376, 51849, 51376, 50843, 51025, 52356, 64738, 64965, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 58116, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 54689, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 55863, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 52810, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 54350, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 52781, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 56714, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 53524, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 54417, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 52800, 57496, 50866, 52754, 50866, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 55726, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 53211, 57496, 50866, 52754, 50866, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 54655, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 50813, 50799, 55663, 51101, 54464, 51101, 51504, 57070, 51846, 57070, 50986, 57070, 51511, 52192, 51143, 52192, 51344, 52192, 51140, 51025, 70610, 51904, 50583, 56598, 58928, 53440, 52501, 53299, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 76391, 53910, 59018, 51043, 56704, 51043, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 79555, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 51128, 51140, 54420, 54494, 53800, 76391, 55863, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 52501, 52810, 54619, 51115, 54410, 51115, 51846, 57070, 50986, 57070, 50970, 57070, 51143, 52192, 51344, 52192, 51849, 52192, 51522, 51109, 70610, 76391, 54350, 50843, 52501, 52781, 51846, 57070, 50986, 57070, 50970, 57070, 51143, 52192, 51344, 52192, 51849, 52192, 50843, 56598, 58928, 54268, 52501, 53524, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 51128, 51522, 58174, 76391, 54417, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 66203, 52501, 52800, 57496, 50866, 52754, 50866, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 51128, 51522, 54420, 54494, 53800, 76391, 55726, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 66203, 78505, 57496, 50866, 52754, 50866, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 51128, 51522, 58174, 76391, 54655, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 66203, 58928, 50799, 55663, 51101, 54464, 51101, 51504, 57070, 51846, 57070, 50986, 57070, 51511, 52192, 51143, 52192, 51344, 52192, 51140, 51025, 70610, 56598, 58928, 53440, 52501, 53299, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 76391, 53910, 59018, 51043, 56704, 51043, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 79555, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 51128, 51140, 54420, 54494, 53800, 76391, 55863, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 52501, 52810, 54619, 51109, 54410, 51109, 51846, 57070, 50986, 57070, 50970, 57070, 51143, 52192, 51344, 52192, 51849, 52192, 51522, 51109, 70610, 76391, 54350, 50843, 52501, 52781, 51846, 57070, 50986, 57070 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 11602, 9, 19834, 4785, 6, 42, 765, 2125, 7630, 6568, 10, 12298, 1619, 4780, 4, 27901, 10, 2020, 3548, 6, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 24, 3905, 10, 33215, 13931, 9, 163, 6, 2060, 6, 83, 6, 163, 6, 8, 274, 10431, 6, 2351, 10, 19448, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 51966, 53819, 50310, 75965, 50858, 50973, 51417, 50973, 51472, 51493, 51013, 51493, 51237, 50903, 78874, 51315, 51535, 51315, 51417, 50916, 51397, 50916, 51413, 50417, 50965, 51477, 50965, 66527, 52659, 50889, 52659, 53585, 51966, 53819, 50310, 50833, 50989, 71420, 51535, 50916, 51417, 51493, 51013, 51493, 51237, 50903, 70988, 51315, 51535, 51315, 51417, 50973, 51417, 50973, 51472, 50441, 50965, 51283, 50965, 72044, 51668, 51290, 51668, 51072, 62368, 51010, 51493, 51173, 51493, 75994, 78874, 63435, 50989, 73623, 51203, 68575, 51315, 51411, 51315, 51162, 50973, 51162, 50973, 51227, 50417, 50965, 51177, 50965, 51060, 50423, 51493, 50887, 51493, 56667, 50965, 51025, 50965, 51162, 52318, 51013, 52318, 51237, 50427, 51966, 50811, 51040, 51363, 51040, 75494, 51255, 50871, 50991, 51360, 51411, 51360, 51377, 50903, 54957, 51966, 51010, 51273, 51173, 51273, 75994, 70988, 50899, 51194, 50899, 51095, 50989, 51255, 50989, 51116, 79725, 73822, 51120, 51109, 51120, 51159, 50447, 51273, 50887, 51273, 56604, 51197, 51709, 51197, 51253, 63775, 50861, 51159, 51560, 51013, 51560, 51237, 50451, 51966, 69990, 51411, 50956, 51377, 51197, 51312, 51197, 51159, 50906, 51267, 50906, 51157, 50903, 69077, 52181, 50858, 52181, 58055, 53154, 50800, 53154, 50894, 60963, 51581, 50291, 51581, 50298, 51581, 50296, 51337, 51315, 51194, 51493, 51016, 51493, 50824, 51230, 51053, 61692, 70623, 52814, 50865, 52814, 51030, 50417, 51324, 55181, 55650, 51966, 50809, 51214, 50809, 51324, 68877, 61027, 58956, 62490, 60452, 62879, 50879, 51230, 51071, 62421, 62906, 52554, 50836, 52554, 56731, 51324, 55181, 54689, 52554, 51175, 52554, 50975, 51841, 51581, 50291, 51581, 50303, 51741, 50303, 50943, 51668, 51016, 51668, 50824, 51230, 51053, 55863, 51966, 50809, 51324, 72172, 52415, 50312, 67844, 67741, 67214, 63784, 50845, 51895, 51698, 54216, 51214, 50809, 51324, 50836, 51230, 51071, 56788, 53416, 50910, 53416, 50921, 51324, 55181, 55108, 52554, 50795, 52554, 52370, 50284, 51581, 50286, 50809, 51324, 68877, 62430, 62490, 65479, 65872, 61622, 51519, 50296, 52019, 50296, 50981, 51493, 50948, 51493, 50860, 51230, 51053, 56651, 59397, 51324, 55181, 56069, 52814, 50865, 52814, 53275, 50287, 50809, 51324, 50836, 51230, 51071, 57012, 51966, 50809, 51324, 74825, 70023, 71901, 52434, 50312, 77607, 52434, 50315, 50938, 51493, 50859, 51493, 51739, 64903, 54208, 52181, 50836, 52181, 51879, 50284, 51581, 50291, 51581, 50303, 51411, 51086, 51162, 51668, 50893, 51668, 50802, 51230, 51053, 55726, 51324, 55181, 55835, 51966, 50809, 51214, 50809, 51324, 68877, 61027, 56962, 62490, 60452, 65872, 50893, 52659, 50879, 52659, 50923, 51230, 51071, 62421, 60734, 52181, 50800, 52181, 57308, 51324, 55181, 68358, 53154, 50808, 53154, 50821, 60963, 51581, 50291, 51581, 50296, 51749, 51315, 51397, 51493, 51016, 51493, 50824, 51230, 51053, 70623, 52814, 50809, 52814, 66802, 51324, 55181, 55650, 51966, 50809, 51214, 50809, 51324, 68877, 51100, 50916, 51173, 50965, 51121, 50965, 51158, 50973, 51177, 50973, 51060, 51230, 51071, 62421, 62906, 52814, 50858, 52814, 52801, 51324, 55181, 54689, 51841, 51581, 50291, 51581, 50303, 51199, 51086, 51312, 51668, 51016, 51668, 50824, 51230, 51053, 63567, 53154, 50924, 53154, 51138, 50429, 51966, 50809, 51324, 50904, 51895, 51698, 54216, 51214, 50809, 51324, 68877, 64545, 73268, 64397, 66499, 73849, 55805, 51071, 60673, 52181, 50808, 52181, 53660, 51324, 74825, 50822, 64001, 50965, 50844, 62257, 67642, 50973, 53330, 55108, 51841, 51581, 50286, 50809, 51324, 51581, 50291, 51749, 51324, 51397, 51668, 51013, 51668, 51237, 51230, 51053, 56651, 63025, 53154, 50807, 53154, 51054, 50441, 51324, 55181, 56069, 51214, 50809, 51324, 51581, 50303, 51100, 51086, 51173, 50956, 51121, 50956, 51158, 50989, 51177, 50989, 51060, 51230, 51071, 57012, 51966, 50809, 51324, 50904, 51895, 51698, 54208, 51841, 51581, 50291, 51581, 50298, 51199, 51378, 51312, 51705, 50889, 51705, 50896, 51230, 51053, 55726, 51324, 55181, 55835, 51966, 50809, 51214, 50809, 51324, 51581, 50303, 51609, 50303, 70157, 72889, 74463, 73663, 55805, 51071, 62421, 60734, 52181, 50859, 52181, 57308, 53154, 50910, 53154, 50921, 51324, 51954, 50303, 50822, 51086, 50833, 71430, 50956, 75965, 68897, 53330, 50971, 60963, 51581, 50291, 50836, 51493, 51013, 51493, 51237, 51230, 51053, 70623, 52814, 50937, 52814, 50924, 50417, 51324, 55181, 55650, 52554, 50855, 52554, 50809, 51966, 50809, 51214, 50809, 51324, 51581, 50303, 51194, 51086, 51095, 50916, 51194, 50916, 51095, 50965, 51194, 50965, 51095, 51230, 51071, 62421, 56076, 51324, 55181, 54689, 51841, 51581, 50291, 50836, 52659, 50889, 52659, 50896, 51230, 51053, 63567, 52554, 51235, 52554, 51653, 50429, 51966, 50809, 51324, 51954, 50305, 51110, 51040, 51175, 50916, 51110, 50916, 51175, 50877, 51110, 50877, 51175, 51895, 51698, 54216, 51214, 50809, 51324, 50836, 51230, 51071, 56788, 53416, 50808, 53416, 50882, 51324, 55181, 55108, 52554, 50805, 52554, 50806, 51841, 51581, 50286, 50809, 51324, 51581, 50303, 51212, 51086, 51121, 50916, 51212, 50916, 51121, 50965, 51212, 50965, 51121, 51493, 51013, 51493, 51237, 51230, 51053, 56651, 59397, 51324, 55181, 56069, 52814, 50938, 52814, 51919, 50287, 50809, 51324, 50836, 51230, 51071, 57012, 51966, 50809, 51324, 51954, 50303, 51458, 50303, 63254, 61027, 58956, 62490, 50879, 51895, 51698, 54208, 52181, 50833, 52181, 50859, 51841, 51581, 50291, 50836, 51668, 51290, 51668, 51072, 51230, 51053, 55726, 51324, 55181, 55835, 52181, 50833, 52181, 50859, 51086, 68566, 69498, 71809, 50818, 50965, 77641, 50818, 51966, 50809, 51214, 50809, 51324, 50836, 51230, 51071, 62421, 57326, 53154, 50854, 53154, 50808, 51324, 55181, 50971, 50799, 52814, 50808, 52814, 50821, 51841, 51581, 50291, 51581, 50296, 51619, 50296, 50889, 51493, 51173, 51493, 50976, 51230, 51053, 57780, 51324, 55181, 55650, 51966, 50809, 51214, 50809, 51324, 51581, 50303, 51712, 50303, 64233, 61432, 63946, 63328, 56190, 66228, 50901, 51230, 51071, 62421, 62906, 52814, 50948, 52814, 51138, 50423, 51324, 50904, 51493, 50887, 51493, 52374, 54689, 51841, 51581, 50291, 51581, 50291, 51619, 50291, 50889, 51668, 51013, 51668, 51237, 51230, 51053, 63567, 53154, 50840, 53154, 60579, 51966, 50809, 51324, 50904, 51895, 51698, 54216, 51214, 50809, 51324, 51581, 50298, 51712, 50298, 51568, 50303, 79966, 67997, 66782, 59625, 72169, 50901, 51230, 51071, 60673, 53154, 50948, 53154, 59618, 51324, 55181, 55108, 51841, 51581, 50286, 50809, 51324, 51581, 50303, 51183, 51086, 71651, 51183, 50916, 72025, 51183, 50965, 50918, 51984, 51173, 51984, 50976, 51230, 51053, 56651, 63025, 52181, 51141, 52181, 51274, 50441, 51324, 55181, 56069, 51214, 50809, 51324, 51581, 50297, 50836, 51984, 50893, 51984, 50802, 51230, 51071, 50379, 54936, 54417, 51966, 50809, 51324, 50904, 51895, 51698, 54208, 51841, 51581, 50291, 50836, 51868, 50893, 51868, 50802, 51230, 51053, 55726, 51324, 51954, 50294, 51559, 50370, 53120, 55370, 51966, 50809, 51324, 51581, 50294, 50809, 51668, 50893, 51668, 50802, 51230, 53120, 62421, 57326, 51324, 51954, 50294, 50867, 51895, 53120, 50904, 50799, 51997, 51235, 51997, 50993, 51841, 51581, 50291, 51581, 50301, 52151, 51027, 51945, 50916, 52071, 50916, 51945, 50877, 52069, 50877, 51605, 51216 ]
[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 11, 230, 538, 6, 4246, 10, 16331, 33215, 16739, 9, 274, 401, 6, 230, 406, 6, 274, 401, 6, 8, 211, 406, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 5913, 13410, 228, 2289, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 51601, 50877, 66750, 59834, 50906, 76819, 54202, 64304, 51062, 50933, 50424, 50931, 51604, 50333, 63726, 50902, 78164, 56789, 64304, 51062, 74374, 50931, 59816, 51339, 61284, 50902, 78164, 53945, 64304, 51062, 50933, 50443, 50902, 78164, 66880, 64304, 51062, 55514, 50877, 66750, 64599, 50861, 64468, 62564, 50871, 66445, 64459, 57846, 64304, 50461, 50899, 64134, 50864, 51809, 57846, 64304, 56945, 59903, 55470, 51026, 60097, 60417, 51050, 61123, 63726, 51085, 62850, 50437, 77767, 64304, 50968, 75766, 50933, 51062, 78017, 50999, 54394, 51081, 59763, 73773, 51062, 80246, 57846, 56963, 61048, 51339, 57186, 51146, 62356, 77767, 51062, 50933, 50460, 57846, 56963, 61048, 51339, 50864, 62529, 59834, 73773, 51062, 50933, 50421, 57846, 56963, 61048, 51146, 60039, 51062, 57104, 77767, 50428, 50999, 61924, 50900, 64611, 67089, 75766, 61231, 50931, 55643, 51120, 50933, 72811, 50951, 50933, 50440, 78456, 77469, 56963, 50999, 64524, 50902, 66880, 51214, 50933, 72811, 50951, 69945, 51026, 52169, 50303, 50933, 56963, 50999, 64599, 50902, 62564, 51120, 50933, 72811, 50951, 62908, 51026, 52169, 50303, 64611, 52169, 50325, 58449, 50951, 50933, 51601, 51214, 50933, 50418, 50931, 54202, 51026, 52169, 50303, 64611, 50933, 50968, 59329, 50902, 60417, 78456, 67695, 50968, 71707, 50997, 62850, 50916, 75766, 53998, 50902, 59816, 77767, 67695, 50968, 72030, 50997, 62850, 60471, 50951, 57917, 50902, 61285, 78456, 50968, 59763, 51001, 61800, 50997, 52169, 50304, 78721, 50933, 50968, 53996, 67695, 50951, 71982, 77767, 50455, 50876, 64459, 74180, 50900, 78721, 69715, 62495, 50968, 50864, 54197, 50933, 50931, 71768, 50968, 64523, 51027, 67436, 50931, 65127, 50876, 52169, 50325, 66910, 51085, 55656, 50931, 63444, 51027, 52169, 50304, 50933, 56963, 50951, 60394, 50999, 61231, 51085, 62850, 50951, 55643, 51114, 59380, 51234, 52169, 50302, 56480, 50951, 66116, 50968, 50933, 51062, 51277, 50442, 51279, 50933, 51027, 64043, 51214, 52169, 50299, 50933, 50999, 58914, 51081, 70570, 73773, 50452, 79099, 51062, 57131, 57846, 56963, 61048, 51339, 59972, 51146, 58449, 77767, 51062, 50933, 52177, 57846, 56963, 50877, 51006, 50418, 51339, 54202, 51146, 59329, 73773, 51062, 78671, 57846, 56963, 61048, 51146, 56789, 51062, 50933, 50431, 51085, 62727, 50999, 61284, 50900, 64611, 50933, 61048, 50951, 53945, 50931, 57917, 51120, 50933, 72811, 50951, 50933, 50445, 78456, 77469, 50871, 51006, 50446, 50999, 61800, 50902, 53996, 51214, 50933, 72811, 50951, 50933, 50455, 78456, 77469, 56963, 50999, 64459, 50902, 62495, 51120, 50933, 72811, 50951, 50933, 51809, 78456, 77469, 56963, 50999, 64523, 50951, 50933, 50421, 51214, 67829, 50931, 53272, 78456, 77469, 56963, 50968, 63444, 50902, 60394, 77767, 50968, 61231, 51001, 55643, 51026, 52169, 50304, 78721, 50933, 50968, 59380, 50876, 51277, 50951, 51277, 50440, 51315, 50933, 50916, 57940, 51197, 50933, 50956, 50933, 50876, 52169, 50325, 50933, 50951, 69945, 51120, 52169, 50306, 69715, 64468, 78163, 70570, 50999, 62564, 77469, 63383, 58222, 50951, 54232, 50968, 51006, 50458, 51027, 62850, 63383, 50989, 71584, 50876, 50864, 51601, 78456, 77469, 56963, 76884, 53502, 65378, 61316, 59329, 51378, 67572, 60039, 51026, 60097, 63726, 51027, 50933, 61048, 50431, 51026, 60097, 59816, 51315, 50933, 50916, 56180, 51085, 62850, 50448, 77767, 64304, 50968, 50933, 50951, 50933, 51062, 50933, 50452, 50999, 62356, 51081, 64459, 73773, 51062, 50933, 53975, 50933, 56963, 61048, 51339, 71768, 51146, 62016, 77767, 51062, 67829, 57846, 50871, 67089, 50933, 51339, 60417, 51146, 63444, 73773, 51062, 50933, 56014, 50933, 56963, 61048, 51146, 55643, 51062, 70142, 51085, 72030, 50999, 64524, 57846, 56963, 61048, 50951, 54394, 50931, 59763, 51120, 50933, 72811, 50951, 80246, 51026, 52169, 50303, 64611, 50933, 50999, 57186, 50902, 54232, 51214, 50933, 72811, 50951, 50933, 50460, 78456, 77469, 56963, 50999, 50864, 51601, 50902, 59834, 51120, 50933, 72811, 50951, 64987, 78456, 77469, 56963, 50999, 60039, 50951, 55656, 51214, 71707, 50931, 61924, 78456, 77469, 56963, 50968, 61231, 50902, 61284, 78456, 67695, 50968, 50933, 50440, 50997, 52169, 50304, 50933, 60471, 50951, 61285, 50902, 66880, 77767, 67695, 50968, 55514, 50997, 52169, 50304, 78721, 75766, 64599, 50902, 62564, 78456, 50968, 64459, 51001, 56551, 50997, 62850, 50916, 52169, 50320, 58449, 50906, 75766, 51006, 51809, 77767, 50418, 50876, 54202, 50997, 52169, 50304, 50933, 60471, 50902, 55470, 50968, 60417, 73773, 50931, 63726, 50968, 60394, 51027, 52169, 50304, 64611, 71227, 53998, 64304, 50999, 62727, 51085, 70142, 50931, 66090, 51027, 67436, 50951, 57917, 50999, 54394, 51085, 62850, 50951, 59763, 51114, 61800, 51234, 50933, 74180, 50951, 70570, 50968, 50933, 51062, 51277, 50453, 51279, 50933, 51027, 65897, 51214, 50933, 78456, 50999, 62495, 51081, 50864, 54734, 50933, 73773, 51062, 50933, 50419, 50900, 64611, 67089, 52169, 50333, 65127, 51146, 60039, 77767, 51062, 50933, 50428, 57846, 56963, 61048, 51339, 61924, 51146, 61231, 73773, 51062, 50933, 55203, 50933, 56963, 61048, 51146, 66116, 51062, 70430, 77767, 50445, 50999, 56197, 57846, 56963, 61048, 50951, 58914, 50931, 64599, 51120, 50933, 72811, 50951, 57131, 78456, 77469, 56963, 50999, 56551, 50902, 58449, 51214, 50933, 72811, 50951, 50933, 52478, 78456, 51086, 64611, 50933, 50999, 54202, 50902, 59329, 51120, 50933, 72811, 50951, 78671, 78456, 77469, 56963, 50999, 56789, 50951, 57018, 51214, 62727, 50931, 61284, 78456, 51086, 64611, 52169, 50320, 66090, 50902, 57917, 78456, 50968, 61285, 51001, 59763, 57846, 60471, 50906, 52169, 50320, 61800, 51081, 52169, 50330, 57299, 51085, 71982, 50968, 62356, 57846, 60471, 67695, 51081, 50933, 51146, 50933, 50460, 73773, 50931, 78164, 50864, 59733, 59834, 57846, 56963, 61048, 50999, 64523, 76890, 50421, 51120, 67829, 50951, 53272, 63383, 56963, 61048, 76604, 50431, 78456, 50973, 64468, 61231, 50902, 55643, 51086, 67954, 66445, 53945, 77767, 50900, 64066, 50933, 50968, 70430, 51120, 67954, 66445, 66880, 51315, 50933, 60471, 50906, 75766, 64043, 50876, 58914, 73773, 56963, 61048, 50931, 72921, 50877, 51604, 50328, 54232, 50877, 51604, 50328, 56551, 61048, 51062, 50933, 51601, 61048, 51062, 61378, 51085, 51381, 50900, 51381, 51062, 59329, 51220, 60417, 51081, 63726, 50999, 56789, 50951, 61924, 50931, 59816, 51120, 50933, 50899, 52169, 50320, 61284, 50902, 53945, 51315, 50933, 60471, 74933, 57917, 51028, 61285, 51085, 62850, 50902, 66880, 51001, 61800, 51120, 50933, 63383, 50968, 53996, 50931, 64599, 51315, 50933, 50916, 51006, 50453, 50951, 62356, 51147, 64459, 73773, 56963, 50999, 56551, 51147, 50864, 53975, 64611, 67089, 52169, 50325, 71768, 76890, 51146, 50933, 50419, 77767, 50421, 50999, 55470, 57846, 56963, 61048, 76890, 51146, 50933, 50428, 50876, 51283, 50999, 79309, 51315, 74374, 60471, 50437, 73773, 56963, 50442, 51378, 50933, 50989, 62565, 78456, 58222, 51081, 58914, 50999, 70570, 50900, 64716, 64066, 50933, 51081, 57186, 50951, 50933, 51430, 57131, 51085, 65897, 51081, 62495, 57846, 58222, 67695, 50951, 50933, 51430, 50933, 52177, 50968, 51283, 51081, 51283, 50422, 51378, 50933, 50989, 55656, 78456, 58222, 50431, 51176, 50933, 50965, 50933, 50436, 51027, 50933, 61048, 51062, 53945, 51220, 66116, 57846, 56963 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 3722, 223, 34693, 4, 20, 13305, 3315, 5, 33301, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 4, 590, 10, 12701, 4450, 20889, 6, 5, 15229, 30853, 149, 10, 33215, 13931, 9, 230, 10431, 119, 6, 2060, 406, 6, 274, 10431, 119, 401, 6, 230, 10431, 119, 6, 8, 2060, 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 ]	[ 63515, 52478, 51028, 51313, 50440, 50999, 51742, 50441, 51966, 51174, 50461, 50877, 52081, 50305, 52386, 50310, 51126, 77033, 51040, 50863, 50989, 50891, 50877, 65672, 50876, 51310, 51147, 51477, 51503, 55835, 50989, 52386, 50300, 54191, 50307, 50870, 75695, 51176, 73455, 50870, 50956, 69864, 51360, 63693, 50973, 51412, 50446, 51028, 50978, 50451, 66310, 50452, 51176, 70596, 51040, 75816, 50908, 50902, 51142, 51809, 51028, 62227, 50973, 58116, 51147, 51911, 50305, 50851, 50871, 65523, 51911, 50300, 59716, 51378, 62884, 50973, 51309, 50440, 51028, 50978, 50445, 50965, 52386, 50305, 52386, 50320, 51008, 50902, 51480, 50456, 51028, 73849, 50912, 51809, 74251, 50989, 50891, 51040, 50863, 50877, 58032, 51279, 70766, 51803, 50877, 52015, 69375, 77798, 70004, 51027, 50864, 59412, 50965, 75575, 72599, 51279, 72030, 51086, 77798, 60570, 51086, 54622, 50899, 50825, 56020, 51279, 70085, 50861, 71699, 50877, 52818, 63489, 59663, 50433, 51028, 52363, 50315, 51380, 50445, 61133, 67655, 61362, 50968, 59055, 51741, 50305, 71105, 51027, 52188, 52177, 51120, 51742, 50421, 61233, 50427, 50989, 50959, 51028, 50912, 50973, 50974, 50428, 51027, 51642, 50899, 55659, 61133, 50989, 80059, 74312, 50448, 69271, 51176, 51381, 59139, 54578, 51680, 50415, 50973, 51662, 51360, 50874, 50902, 51592, 50430, 50965, 50863, 51040, 57785, 51028, 50981, 50448, 51040, 52996, 50459, 50877, 51452, 51378, 51314, 52478, 51028, 50955, 50425, 51028, 53172, 50989, 52441, 51040, 51797, 50431, 50902, 58853, 50902, 50892, 50437, 51086, 60887, 51001, 50925, 50448, 51114, 51680, 51315, 50874, 50902, 51677, 50449, 50877, 52783, 51601, 50973, 76705, 50916, 53962, 50973, 50984, 50968, 62886, 50916, 50941, 50445, 51028, 51397, 51027, 51148, 50452, 50968, 57651, 50968, 50892, 50460, 50877, 65377, 50932, 52177, 51114, 55266, 71436, 51114, 50905, 50424, 50956, 51542, 50430, 80248, 50437, 51176, 54123, 50951, 51109, 50448, 51147, 74022, 50973, 70347, 50965, 52104, 50324, 51337, 50968, 50984, 51809, 51399, 63750, 51399, 51101, 50430, 51062, 54125, 51503, 68825, 51062, 51101, 50442, 51220, 50925, 50449, 51220, 51043, 50876, 71328, 50984, 50457, 51081, 50857, 51601, 51081, 50866, 50421, 50999, 62370, 51360, 53220, 50999, 51423, 50434, 51147, 78655, 50973, 63780, 51147, 51534, 50871, 52763, 50951, 64833, 50951, 51006, 50461, 67176, 53069, 51114, 51074, 50425, 59715, 50434, 50931, 51534, 50443, 50968, 51058, 50454, 50968, 51381, 55753, 50902, 51679, 50437, 50999, 51939, 51028, 51939, 50438, 51378, 51174, 50457, 61825, 50989, 52666, 50305, 51000, 69341, 50877, 70898, 51040, 79743, 51147, 51080, 50440, 50876, 51080, 51176, 52431, 50453, 50989, 74507, 50956, 50941, 69341, 50989, 52386, 50307, 55788, 51360, 63693, 50973, 51852, 50446, 51028, 70334, 50968, 52363, 50300, 51142, 50452, 50871, 71608, 51380, 52177, 51028, 62448, 58964, 51147, 51419, 50973, 51542, 66398, 51176, 54325, 51040, 66861, 51378, 51174, 50442, 50973, 51709, 51028, 69300, 50965, 51376, 50449, 51040, 53535, 50320, 50827, 50902, 51380, 50461, 51028, 50857, 57844, 57559, 50989, 52081, 50322, 59903, 51764, 50305, 53018, 51279, 62090, 51114, 51742, 50877, 51803, 50453, 50899, 50870, 51027, 50837, 57731, 51027, 65789, 54483, 50965, 52015, 50931, 51803, 50436, 51279, 54385, 50899, 50891, 51086, 50891, 55753, 51086, 76738, 54483, 51279, 68167, 50861, 51480, 50441, 50877, 65845, 68793, 51028, 70591, 50973, 51380, 50459, 50877, 67205, 50861, 50863, 52591, 50861, 75511, 51097, 50421, 51040, 69280, 51027, 54836, 50433, 51120, 51680, 50437, 50877, 55467, 50861, 53384, 50989, 52169, 50301, 51645, 50899, 52034, 50973, 51242, 50445, 51028, 70347, 61133, 50989, 50886, 52177, 50989, 50974, 50418, 51176, 51381, 50899, 51210, 50902, 51008, 58783, 52015, 51360, 50827, 50973, 51662, 50433, 50902, 51680, 50449, 50965, 50863, 51040, 50863, 51809, 51028, 51419, 50417, 51040, 51466, 50429, 50906, 51692, 50430, 51378, 51074, 50440, 51001, 55876, 51001, 51177, 50989, 76606, 51040, 79859, 50968, 57185, 50968, 51242, 50989, 58247, 68793, 51809, 50931, 65605, 51324, 71203, 51147, 51692, 50877, 52015, 50439, 69550, 50440, 50956, 60325, 50956, 62662, 51114, 51679, 56020, 50965, 51677, 50423, 51315, 67995, 50973, 59615, 50973, 51212, 50916, 77798, 56069, 51028, 62135, 51028, 51172, 50899, 54939, 50916, 60535, 50902, 78971, 51279, 50822, 60497, 51353, 74354, 52980, 50428, 51040, 59272, 51315, 75106, 50968, 51419, 51234, 56573, 50989, 53487, 51324, 50851, 56020, 50902, 51480, 50432, 51176, 52980, 51028, 51203, 50899, 51490, 50440, 75651, 50448, 50877, 50915, 50457, 50973, 51253, 52478, 51360, 50933, 50419, 65943, 50430, 51028, 58866, 50989, 51481, 51040, 64643, 51027, 51797, 50448, 51028, 60062, 50877, 57243, 50871, 53131, 50303, 52378, 54852, 52019, 50317, 51449, 79351, 59612, 50989, 51244, 51378, 51142, 51601, 50877, 52140, 51040, 52140, 50446, 51028, 51749, 52177, 51399, 51162, 50418, 51050, 55656, 51146, 68109, 51399, 51111, 50433, 50965, 78751, 52896, 51220, 50849, 50442, 51147, 59703, 60362, 51040, 53528, 51028, 50917, 50451, 51220, 52014, 50298, 54232, 51399, 51121, 50460, 51220, 72914, 51040, 61324, 50863, 51809, 50999, 61062, 51040, 63700, 75967, 54347, 80152, 50427, 50999, 50917, 50428, 51360, 53705, 51220, 58926, 50999, 50937, 50436, 51086, 62296, 58751, 51147, 50917, 50442, 51086, 62154, 60362, 50931, 62604, 50973, 58460, 51120, 73688, 50925, 50454, 50999, 50938, 50457, 51147, 75389, 51114, 50937, 51809, 50989, 56127, 64062, 51027, 52944, 59755, 50424, 51324, 50844, 51114, 50925, 50427, 51147, 50901, 50431, 51114, 58672, 50989, 57160, 51086, 55799, 67666, 50439, 50965, 50844, 50442, 51114, 62813, 51114, 68788, 51360, 67426, 51147, 50873, 50454, 51114, 51588, 50305, 50863, 51027, 57110, 74730, 57126, 59991, 51028, 64355, 63417, 52759, 61494, 51040, 66121, 50965, 56799, 51028, 50925, 50436, 50902, 67538, 75632, 57477, 51028, 50897, 50443, 67594, 51378, 62077, 51028, 55620, 50931, 65840, 55223, 51040, 62476, 51114, 50917, 50457, 50877, 57029, 51040, 62946, 50955, 50460, 51220, 50862, 52177, 51050, 51537, 50329, 50910, 50421, 51146, 67895, 51399, 60037, 52712, 51040, 79499, 51220, 57356, 50965, 50825, 51147, 50942, 51040, 54483, 51028, 56057, 51378, 67941, 51220, 69822, 51399, 75097, 51220, 62617, 50877, 50834, 51040, 52763, 50999, 50955, 50453, 50877, 50835, 51040, 65556, 51114, 62091, 72814, 50461, 77757, 51360, 50857, 51809, 51220, 73965, 50999, 50977, 50421, 51086, 62252, 53109, 51147, 70846, 51086, 66445, 65197, 50973, 64160, 71440, 51120, 58572, 50999, 61772, 51147, 52815, 51114, 50977, 50448, 50989, 50837, 71702, 50449, 51027, 65392, 72733, 50455, 51324, 50822, 50902, 73184, 50968, 50866, 51601, 51114, 72250, 50951, 56908, 77757, 56437, 50902, 68469, 53220, 51220, 56274, 51062, 59628, 51399, 68412, 51146, 50942, 50440, 51430, 58991, 51787, 71765, 51487, 50925, 50451, 52128, 50854, 51360, 59644, 51814, 65844, 52052, 50925, 50973, 50835, 50799, 53117, 50925, 50418, 50973, 62296, 50837, 52357, 50917, 50419, 51040, 61183, 53684, 50901, 50428, 51378, 50851, 56193, 51380, 50442, 50877, 52519, 50443, 51040, 52407, 58540, 51108, 50425, 51399, 55035, 51050, 72479, 51146, 60698, 51399, 71901, 57477, 51220, 50878, 50443, 50965, 50837, 51040, 50825, 51147, 62077 ]
[ 0, 250, 765, 6, 20425, 5175, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 816, 10, 15352, 30054, 516, 11, 230, 538, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15966, 13410, 228, 2289, 6, 20307, 149, 10, 13931, 9, 1918, 406, 6, 3676, 406, 6, 1918, 401, 6, 272, 73, 495, 6, 8, 230, 119, 1176, 406, 40286, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50419, 50999, 75806, 79600, 50961, 51062, 58980, 50951, 74944, 50846, 51081, 50883, 51081, 59485, 68170, 68170, 50999, 50949, 50999, 65898, 50931, 50846, 50931, 50846, 50999, 50883, 50999, 59382, 50876, 70934, 50841, 50951, 50884, 50951, 53418, 50877, 75715, 50895, 50931, 50884, 50931, 65809, 50877, 65490, 50841, 50931, 50841, 50931, 59673, 50876, 70934, 50841, 50951, 70787, 52396, 51081, 50883, 51081, 50883, 50931, 51110, 50931, 51110, 50452, 50999, 50883, 50999, 54944, 51081, 50883, 51081, 61807, 74104, 50999, 65372, 50876, 66875, 78543, 50841, 50951, 50841, 54960, 67128, 78213, 78213, 58516, 50999, 50834, 50999, 80131, 79711, 56818, 50951, 78945, 50829, 51081, 50839, 51081, 52992, 50931, 77280, 50834, 50999, 76227, 58854, 50931, 71808, 70133, 50834, 50999, 56512, 50876, 66875, 78543, 78213, 52600, 50877, 61299, 77280, 74939, 58655, 50877, 61541, 69043, 79163, 56892, 50876, 64559, 70789, 78945, 52802, 51081, 50841, 51081, 50841, 50931, 51797, 50931, 51797, 50451, 50999, 50834, 50999, 55007, 51081, 50835, 51081, 59699, 50999, 52415, 50325, 77381, 50876, 50863, 50876, 50863, 50951, 78543, 50835, 54960, 79986, 53529, 50323, 50984, 76893, 50418, 51062, 50895, 51062, 61710, 50931, 50846, 50931, 50846, 50999, 75806, 52437, 51081, 50949, 51081, 50949, 50968, 63707, 75976, 50999, 50884, 50999, 70690, 51081, 50818, 51081, 57318, 50999, 52014, 50325, 78446, 50968, 50863, 50968, 50863, 50951, 73741, 53040, 71363, 71363, 50442, 51062, 79600, 57000, 50902, 69687, 75969, 50884, 50931, 53409, 50951, 50895, 50951, 50895, 50876, 58681, 67070, 68170, 50931, 59671, 50951, 71351, 54363, 50931, 52434, 50321, 77568, 50876, 70934, 50841, 50968, 50841, 50968, 50841, 56229, 50844, 58398, 50418, 51062, 50829, 51062, 56856, 50931, 50863, 50931, 50863, 50999, 50834, 50999, 52928, 51081, 50834, 51081, 75088, 51365, 50968, 51365, 50427, 50999, 50910, 50999, 50910, 50431, 50951, 69148, 58039, 50968, 50928, 50968, 50928, 50951, 50863, 50951, 57667, 50999, 70133, 52621, 50902, 51142, 50902, 51142, 79386, 79386, 50442, 50931, 79163, 56892, 50902, 72680, 69043, 50870, 50931, 60145, 50951, 72394, 54915, 50931, 51008, 50931, 51008, 50876, 53131, 50316, 51254, 50454, 50968, 77281, 57950, 50876, 50863, 50876, 50863, 50968, 50863, 50968, 50863, 54852, 50830, 59836, 50418, 51487, 50961, 51487, 66774, 50931, 50841, 50931, 50841, 51062, 50884, 51062, 57982, 51146, 50883, 51146, 79279, 54828, 64977, 51062, 79600, 54013, 51146, 50884, 51146, 63519, 51062, 51828, 50328, 66881, 50968, 77281, 50837, 51220, 79434, 53894, 50871, 75522, 50948, 50442, 51062, 79600, 57000, 50902, 60810, 50828, 50999, 50961, 50999, 55254, 51220, 50961, 51220, 50961, 50916, 51158, 50916, 51158, 50451, 50999, 75806, 59671, 51220, 50839, 51220, 59617, 50999, 50925, 50999, 65737, 50876, 67128, 78213, 74944, 50846, 54852, 50812, 57002, 50418, 51487, 50839, 51487, 58235, 50931, 50863, 50931, 50863, 51062, 50829, 51062, 56982, 51146, 52386, 50330, 50971, 54439, 51524, 72529, 51062, 51008, 51062, 67810, 51220, 50863, 51220, 60050, 51220, 50825, 51220, 56446, 50968, 50928, 50968, 60622, 51062, 50863, 51062, 50863, 51220, 50942, 51220, 50942, 57019, 50907, 50871, 58573, 50999, 71695, 57013, 50902, 50928, 50902, 50928, 50999, 71695, 59361, 51220, 78163, 58914, 70088, 70088, 68717, 68717, 50453, 50951, 50870, 50951, 58908, 50876, 78681, 51004, 50951, 76781, 63414, 50999, 66750, 58449, 69271, 69271, 71049, 71049, 52177, 50931, 77280, 58592, 50973, 50863, 50973, 50863, 50931, 77280, 52928, 62784, 62784, 60215, 60215, 50968, 50897, 50968, 69270, 50902, 64204, 77280, 79163, 57107, 50968, 50825, 50968, 70789, 78543, 59347, 51315, 50835, 51315, 52621, 50902, 74197, 72503, 68992, 51764, 50297, 51832, 51050, 51832, 50442, 50876, 50928, 50876, 50928, 50968, 77281, 59843, 51026, 50870, 51026, 50870, 50973, 74154, 67904, 64204, 53057, 50900, 71807, 70831, 71557, 59390, 59258, 50915, 50454, 51026, 50839, 51026, 58472, 51085, 50841, 51085, 50841, 51062, 50925, 51062, 50925, 54795, 51442, 50287, 50879, 50419, 50973, 65921, 64204, 68895, 56818, 50931, 73476, 52905, 61827, 61827, 77095, 69179, 63287, 60250, 50995, 50430, 51026, 50820, 51026, 56565, 51062, 50942, 51062, 68068, 51085, 50837, 51085, 58751, 51214, 50795, 51214, 76500, 50973, 70082, 70248, 70882, 57000, 50931, 50884, 50931, 59620, 61496, 61496, 68526, 68526, 50968, 50940, 50968, 50940, 50454, 50902, 77360, 50846, 50931, 73476, 57461, 51315, 50839, 51315, 50839, 50968, 50841, 50968, 50841, 50951, 70787, 50818, 56229, 50854, 70892, 71363, 71363, 50415, 51050, 50955, 51050, 78130, 68355, 50968, 56818, 51026, 50829, 51026, 74154, 50891, 50973, 74572, 68895, 52639, 50900, 73619, 50839, 50968, 77082, 69667, 58327, 50932, 50430, 51026, 50837, 51026, 58039, 51085, 50829, 51085, 50829, 51062, 50959, 51062, 58450, 51214, 51519, 50287, 50849, 50442, 50973, 70082, 70248, 77360, 59484, 50931, 50895, 50931, 53595, 50900, 73619, 50839, 61827, 61827, 50876, 59391, 50943, 50454, 51026, 50820, 51026, 56399, 51085, 50834, 51085, 50834, 51430, 50830, 51430, 50830, 54795, 51442, 50287, 50879, 50418, 50973, 73046, 68895, 60810, 57466, 68170, 50931, 52437, 50900, 73619, 68128, 50955, 70688, 61827, 50968, 59161, 51026, 50820, 51026, 56565, 51085, 50834, 51085, 50834, 51487, 50952, 51487, 59646, 51214, 52545, 50287, 50948, 50442, 50973, 65921, 64204, 69687, 57854, 50931, 75969, 53068, 77556, 77556, 73556, 73556, 50968, 52415, 50320, 50987, 50454, 50902, 50870, 50902, 50870, 50931, 66876, 57950, 51315, 50891, 51315, 50891, 50968, 50891, 50968, 76781, 70789, 50825, 56229, 50810, 61196, 74952, 74952, 51050, 72608, 51254, 50418, 50876, 50863, 50876, 50863, 50968, 50870, 50968, 58409, 51026, 50863, 51026, 50863, 50973, 76509, 74943, 67904, 56680, 66310, 66310, 65515, 65515, 51315, 50933, 51315, 68858, 50902, 68854, 71808, 69043, 56446, 51027, 74644, 62088, 66731, 77281, 50835, 50968, 52621, 71363, 71363, 73955, 73955, 51050, 51665, 50297, 50866, 50442, 50876, 66875, 50835, 50968, 77538, 56892, 51026, 50839, 51026, 72475, 65921, 64204, 60810, 53035, 58368, 58368, 69084, 69084, 51315, 52098, 50296, 50917, 50454, 50902, 69687, 75969, 74939, 56399, 51027, 50820, 51027, 67128, 67128, 50820, 50968, 50841, 50968, 50841, 56229, 50830, 60990, 51050, 52098, 50297, 73916, 52545, 50318, 50948, 50418, 50876, 62088, 75088, 50841, 50968, 60161, 51026, 50841, 51026, 70082, 70082, 70248, 77360, 53855, 61097, 61097, 69084, 69084, 51315, 51710, 50296, 50924, 50430, 50902, 60810, 73476, 65615, 60085, 51027, 78749, 72854, 67661, 70831, 50884, 50968, 53418, 50968, 50884, 50968, 50884, 51050, 75198, 50937, 50439, 50902, 60810, 70831, 70831, 62078, 50902, 50884, 50902, 65809, 50876, 71360, 60797, 51026, 50846, 51026, 50846, 50973, 50961, 50973, 55254, 65585, 65585, 51085, 51958, 50292, 50896, 75312, 69688, 58892, 50916, 71809, 50839, 53975, 64774, 64754, 51026, 50818, 51026, 56493, 51315, 50895, 51315, 61749, 51120, 52236, 50294, 57850, 51085, 50813, 51085, 59833, 51120, 51731, 50294, 63937, 51085, 50841, 51085, 58608, 51120, 50818, 51120, 58024, 51085, 50841, 51085, 58694, 51120, 50841, 51120, 53116, 51085, 50834, 51085, 64562, 51120, 50834, 51120, 55604, 51085, 50835, 51085, 60862, 51120, 50829, 51120, 53162 ]
[ 0, 250, 765, 3495, 2214, 11, 12608, 538, 19, 10, 2842, 9, 5175, 4785, 6, 7630, 14805, 10, 1186, 9, 8597, 31, 657, 7, 15073, 4, 85, 26658, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 4246, 10, 33215, 13931, 9, 2060, 6, 12608, 6, 274, 119, 401, 6, 12608, 6, 8, 163, 43531, 6, 6946, 7, 63, 25306, 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 ]	[ 56103, 50450, 51176, 60339, 58750, 63161, 50807, 54955, 65757, 56793, 63161, 52910, 51176, 60339, 58750, 63161, 52424, 51040, 73685, 58750, 59351, 52728, 51176, 60110, 51360, 59351, 53312, 50997, 54828, 50795, 58526, 51161, 50900, 51161, 50965, 51161, 51001, 77481, 50965, 62030, 60339, 63161, 53312, 77916, 54578, 64823, 73685, 63057, 53561, 50861, 51631, 50900, 58509, 58750, 55695, 53182, 51040, 51646, 50956, 60821, 55890, 56793, 52728, 51176, 60821, 58750, 72778, 57190, 50807, 51197, 72424, 68488, 50918, 54439, 52424, 51503, 51517, 50300, 60339, 58750, 58750, 52728, 51176, 60339, 58750, 63161, 50807, 59130, 65757, 56793, 63161, 52910, 51378, 60339, 58750, 63161, 52424, 51050, 64404, 58750, 59351, 53218, 51197, 51798, 51360, 73685, 58750, 59351, 50807, 58439, 51161, 50900, 51161, 50965, 51161, 51001, 77481, 51176, 58035, 58750, 63161, 53312, 51026, 50795, 57190, 59851, 73685, 63057, 53561, 50861, 51631, 51197, 60821, 58750, 55695, 52424, 50965, 62515, 65757, 56793, 53218, 50861, 51798, 55179, 51085, 68518, 55695, 53312, 50916, 50795, 55435, 62515, 57055, 56793, 54994, 51176, 51631, 50956, 63534, 68518, 53182, 51040, 51646, 51503, 50807, 51176, 60339, 58750, 52728, 51197, 50807, 51176, 60821, 72400, 54868, 65757, 57055, 56793, 52910, 50956, 54828, 63534, 56793, 53182, 50899, 59006, 51646, 51503, 58035, 60821, 55695, 53218, 51234, 51798, 51085, 58509, 58750, 55695, 53312, 51120, 50795, 55881, 51161, 50956, 51161, 50861, 51161, 50906, 77481, 51026, 60821, 56793, 72400, 54960, 62030, 60821, 58750, 53561, 50902, 51631, 51026, 60821, 56793, 63161, 52424, 50956, 59851, 58750, 59351, 53218, 50899, 51798, 50900, 62352, 55890, 56831, 53312, 51086, 50795, 53997, 51161, 50900, 51161, 50861, 51161, 51001, 51161, 55895, 58509, 55890, 63161, 53312, 50997, 50795, 56310, 60339, 57055, 59351, 52910, 51026, 64823, 59006, 63161, 53182, 51027, 58035, 51646, 51040, 64823, 57055, 63057, 53218, 50956, 51798, 51050, 57055, 57543, 72778, 54662, 51161, 50871, 51161, 50906, 51161, 51028, 77481, 50965, 67795, 60821, 55695, 53312, 77916, 57497, 73685, 57055, 56793, 52910, 51176, 58035, 59851, 58750, 53182, 50997, 64404, 51646, 51197, 60339, 60821, 58750, 52728, 50956, 63534, 65757, 55890, 53312, 51040, 50795, 58106, 51503, 51161, 51176, 51592, 50900, 51161, 50900, 51161, 50965, 51161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3495, 2214, 4246, 21979, 8, 3459, 29589, 6, 13305, 6, 5730, 2342, 4467, 6, 8, 2236, 1021, 2678, 29, 4, 85, 18, 10, 765, 2125, 11, 272, 538, 19, 10, 1769, 20889, 6, 21437, 10, 33215, 16739, 9, 230, 401, 6, 272, 401, 6, 8, 211, 401, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 63515, 50799, 51762, 51544, 50820, 51570, 52725, 51762, 50461, 51332, 53838, 51217, 51108, 50988, 51333, 50885, 51534, 59007, 50981, 50909, 51412, 50816, 54031, 54324, 52247, 53719, 56087, 53719, 57626, 52756, 55885, 52756, 52610, 54375, 55764, 54375, 50806, 55929, 51377, 53046, 50893, 51830, 50812, 52817, 50923, 60476, 51003, 51332, 53838, 51217, 51108, 50988, 51333, 50885, 60046, 50981, 50909, 50905, 64082, 53403, 53046, 50917, 51830, 50830, 52817, 64273, 57847, 78145, 52872, 51461, 51159, 53046, 50806, 51664, 50936, 51813, 50833, 51882, 50854, 52642, 50833, 54744, 50943, 51332, 55856, 51217, 52015, 50988, 51680, 50868, 51148, 50909, 55974, 51920, 53575, 53046, 50910, 51664, 50808, 52817, 51054, 51813, 50833, 51882, 50833, 52642, 57262, 69238, 59118, 50885, 51477, 50438, 51461, 50943, 51830, 50858, 53046, 50937, 51813, 50942, 51882, 50925, 52642, 50878, 56195, 50915, 55809, 53594, 51830, 50897, 53046, 50845, 52817, 51552, 51813, 50833, 51882, 50833, 52642, 50942, 50909, 58377, 52846, 51461, 51159, 53046, 51030, 51664, 50880, 54744, 51400, 52642, 51241, 51813, 51189, 51882, 51189, 78007, 50868, 57353, 53390, 69232, 50909, 58325, 51664, 50800, 53046, 50925, 50909, 57371, 66560, 63917, 51217, 52192, 55929, 50915, 51830, 50859, 53046, 50910, 53719, 50923, 60476, 50981, 51217, 51466, 50988, 51330, 55809, 58120, 59995, 50420, 53046, 50795, 51830, 50808, 50909, 57371, 59384, 59109, 53719, 51138, 50885, 56307, 51461, 50943, 53046, 50806, 51664, 50921, 51813, 50854, 51882, 50833, 52642, 50854, 54744, 51003, 51217, 51637, 50988, 57957, 53390, 59741, 50885, 51359, 72803, 58056, 50432, 51664, 50808, 53046, 50917, 53719, 52512, 51882, 50854, 51813, 50925, 52642, 50878, 50909, 51056, 50868, 68659, 59118, 50988, 51151, 50438, 51461, 51380, 51830, 50812, 53046, 50937, 51882, 50854, 52642, 50854, 51813, 50878, 56195, 51003, 60026, 53114, 51830, 50878, 53046, 50866, 51813, 50854, 51882, 50833, 52642, 50854, 50909, 55077, 62211, 59002, 51217, 72887, 51461, 51267, 53046, 50924, 51664, 50910, 54744, 51177, 52642, 51241, 51813, 51191, 51882, 51141, 51217, 51380, 50816, 53584, 60068, 50909, 68987, 53046, 50987, 51664, 50955, 50909, 56467, 59384, 50870, 55929, 50932, 51830, 50810, 53046, 50937, 52817, 50980, 60476, 50915, 51217, 57371, 50845, 58994, 50891, 60043, 61062, 53046, 50866, 51830, 50878, 50909, 56467, 60095, 60776, 51217, 58632, 51461, 50981, 53046, 50795, 51664, 50830, 52817, 50911, 51882, 50855, 51813, 50833, 52642, 50854, 54744, 51003, 51217, 51244, 76778, 50816, 53237, 61033, 50909, 50942, 50868, 56799, 53046, 50866, 51664, 50959, 52817, 51566, 51882, 50854, 51813, 50942, 52642, 50942, 61560, 50909, 51109, 50988, 51742, 50856, 52904, 51461, 50932, 53046, 50914, 51830, 50795, 51813, 50854, 51882, 50833, 52642, 50942, 56195, 51003, 58135, 53594, 51830, 50942, 52817, 51745, 51882, 50855, 51813, 50854, 52642, 50854, 50909, 56467, 59384, 52805, 51461, 51003, 53046, 50849, 51664, 50879, 54744, 51177, 52642, 51351, 51813, 51191, 51882, 51141, 51217, 52347, 50304, 74794, 57093, 56649, 53390, 53553, 53046, 50866, 51664, 50917, 50909, 57371, 56255, 58908, 51217, 51679, 55929, 51330, 53046, 50948, 79659, 53719, 50795, 60476, 50915, 50988, 51939, 50885, 57371, 50901, 55809, 57610, 51332, 54171, 50909, 55085, 53046, 50795, 51830, 57093, 55905, 64835, 59109, 50885, 54278, 51461, 50915, 53046, 51073, 51664, 50911, 52756, 50923, 51882, 50854, 52642, 50854, 51813, 50925, 54744, 51003, 51217, 51447, 50885, 56990, 63305, 53390, 53575, 51664, 50924, 52817, 51235, 51813, 50862, 51882, 50854, 52642, 50854, 50909, 51056, 73948, 64583, 50856, 52904, 51461, 50995, 53046, 50806, 51830, 50893, 51813, 50833, 51882, 50812, 52642, 50942, 56195, 50981, 58135, 53594, 53046, 50795, 51830, 50893, 52756, 51045, 51813, 50855, 51882, 50836, 52642, 57609, 56990, 56566, 58377, 53003, 51461, 51255, 53046, 50925, 51664, 50905, 53719, 51054, 54744, 50873, 52642, 50943, 51813, 51191, 51882, 51204, 51217, 50912, 50988, 51484, 75714, 65671, 50909, 58473, 53237, 53555, 53046, 50833, 50909, 60398, 50987, 70291, 53202, 51484, 52286, 50886, 51451, 50879, 61643, 50981, 51164, 51108, 77456, 50872, 58649, 50901, 58994, 53420, 52286, 50940, 51451, 50917, 50909, 60716, 59109, 66033, 50885, 58382, 51140, 50943, 52286, 50911, 51322, 50893, 52756, 51388, 51882, 50862, 51855, 50925, 52561, 50878, 52517, 51253, 51164, 59467, 51314, 50885, 56204, 57093, 56649, 53390, 53575, 52286, 50879, 51322, 50878, 51855, 50812, 51882, 50854, 52561, 50854, 78762, 50909, 51159, 50885, 51295, 51164, 51445, 50856, 52904, 51140, 50995, 52286, 50911, 51451, 50879, 52756, 51566, 51882, 50833, 51855, 50925, 52561, 50925, 53169, 51003, 60026, 53162, 52286, 50936, 51451, 50805, 51882, 50836, 51855, 50854, 52561, 62764, 58846, 58253, 53003, 51140, 51267, 52286, 50911, 51322, 50795, 52756, 50805, 52517, 50873, 51855, 51191, 51882, 51191, 52561, 51241, 50946, 51148, 50885, 57076, 57093, 57652, 53390, 53553, 52286, 50812, 51322, 50912, 52756, 55664, 58451, 67240, 58908, 64060, 53202, 50932, 52286, 50795, 51451, 50873, 52756, 51066, 61643, 50981, 75714, 50872, 56990, 50977, 58135, 53420, 52286, 50849, 51451, 50937, 50909, 55808, 69238, 52872, 51140, 51411, 52286, 50911, 51322, 50795, 52756, 50911, 51882, 50813, 51855, 50833, 52561, 50854, 52517, 50943, 50946, 53680, 50316, 63658, 53390, 53670, 52286, 50879, 51322, 50901, 52817, 51388, 51855, 50812, 51882, 50833, 52561, 50854, 50909, 51056, 59504, 50946, 70503, 64835, 59118, 51164, 51749, 60116, 51253, 52286, 50893, 51451, 50938, 51855, 50812, 51882, 50812, 52561, 50925, 53169, 51003, 55809, 53594, 52286, 50806, 51451, 50805, 52817, 50923, 51855, 50833, 51882, 50833, 52561, 50854, 50909, 55664, 55109, 51058, 50946, 52782, 50856, 52805, 51140, 50901, 52286, 50893, 51322, 50917, 52756, 51016, 52517, 50937, 51855, 51191, 51882, 51204, 52561, 51218, 50946, 50959, 64583, 66033, 50909, 57353, 53390, 53555, 52286, 50858, 51322, 50910, 50909, 56467, 56255, 50891, 55929, 50915, 53046, 50806, 51830, 50911, 60476, 51003, 51332, 52140, 51217, 51108, 50988, 52168, 50885, 60046, 59985, 50974, 60026, 53420, 53046, 50879, 51830, 50917, 50909, 56566, 74794, 51267, 50856, 52966, 51461, 50915, 53046, 50911, 51664, 50806, 53719, 51167, 51813, 50855, 51882, 50833, 52642, 50810, 54744, 51003, 51217, 53055, 50909, 64946, 53390, 53575, 53046, 50805, 51664, 50910, 51813, 50854, 51882, 50854, 52642, 50854, 50909, 51056, 60104, 50885, 78145, 52904, 51461, 50932, 53046, 50849, 51830, 50795, 53719, 51454, 51813, 50833, 51882, 50833, 52642, 50854, 56195, 51003, 58135, 65672, 50909, 55945, 53046, 50866, 51830, 50878, 52642, 50862, 51813, 50854, 51882, 64263, 60398, 60148, 52519, 50856, 53003, 51461, 51003, 53046, 50948, 51664, 50893, 53719, 51054, 54744, 51101, 51882, 51191, 51813, 51189, 52642, 51295, 51217, 52025, 79845, 50868, 56990, 56649, 53390, 53017, 53046, 50849, 51664, 50938, 50909, 57371, 56255, 50891, 55929, 50981, 53046, 50849, 51830, 50893, 53719, 51030, 60476, 50915, 51217, 53280, 50988, 52528, 50868, 56990, 50866, 58994, 53420, 53046, 50873, 51830, 55363, 58649, 55109, 51145, 50856, 52966, 51461, 50914, 53046, 50893, 51664, 50879, 52756, 50923, 51882, 50813, 51813, 50833, 52642, 50854, 54744 ]
[ 0, 250, 8787, 5175, 15229, 14, 2424, 3677, 88, 5, 24297, 9, 980, 6, 7630, 14805, 10, 1472, 9, 15073, 150, 6780, 15352, 30054, 4785, 4, 20, 6755, 12547, 6, 38668, 2236, 6, 18558, 6, 21072, 6, 8, 3551, 139, 35810, 561, 7, 1045, 10, 3366, 3341, 5466, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 5784, 1769, 27841, 3006, 11332, 20889, 6, 19, 5, 40286, 163, 428, 401, 8, 211, 119, 442, 12577, 4961, 1328, 42, 24111, 34753, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50650, 50796, 57528, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 53181, 51801, 51881, 51801, 51863, 51801, 51838, 51801, 52735, 51801, 52886, 51801, 51206, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 52452, 50838, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53817, 51801, 53181, 51801, 51615, 51801, 51863, 51801, 52137, 51801, 52735, 51801, 50801, 56203, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53181, 51801, 51881, 51801, 51863, 51801, 51838, 51801, 52735, 51801, 52886, 51801, 50801, 56203, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53817, 51801, 53181, 51801, 51615, 51801, 51863, 51801, 52137, 51801, 52735, 51801, 50801, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53181, 51801, 51881, 51801, 51863, 51801, 51838, 51801, 52735, 51801, 52886, 51801, 51410, 51243, 51231, 51243, 51414, 69094, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 50827, 71519, 56858, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 54980, 51476, 50932, 64403, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 50838, 52690, 51243, 52303, 51243, 51410, 69094, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 50932, 50427, 58128, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 52985, 51476, 50932, 64403, 50932, 50455, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53817, 51801, 53181, 51801, 51615, 51801, 51863, 51801, 52137, 51801, 52735, 51801, 51410, 51243, 51231, 51243, 51414, 69094, 56203, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 50827, 71519, 56858, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 54980, 51476, 50932, 64403, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 50838, 52690, 51243, 52303, 51243, 51410, 69094, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 50827, 58128, 56858, 66772, 70342, 71462, 50827, 50731 ]
[ 0, 250, 1769, 12, 20764, 5175, 19834, 11, 230, 538, 6, 4246, 10, 13305, 8, 17691, 28430, 816, 15352, 30054, 2301, 14, 35334, 10, 3344, 9, 11098, 8, 15073, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51540, 51027, 65815, 63882, 51073, 57025, 60757, 57943, 51027, 60757, 58818, 51027, 63882, 51073, 55895, 61928, 51073, 50462, 50900, 57704, 50924, 50468, 50900, 57704, 50924, 50474, 50900, 61928, 51073, 51540, 50871, 70148, 51073, 53645, 64608, 57943, 50871, 64608, 50924, 57019, 70148, 51073, 55895, 61928, 51073, 50462, 50900, 57704, 50924, 50468, 50900, 57704, 50924, 50474, 50900, 61928, 51073, 51540, 51027, 63882, 51073, 57025, 63882, 51073, 63809, 63882, 69556, 51027, 51472, 50871, 51472, 50474, 53250, 64217, 51540, 53407, 51472, 51247, 51919, 50297, 63621, 51472, 50931, 51472, 50438, 53407, 70148, 51073, 50931, 69556, 53407, 51073, 51247, 51919, 50297, 63621, 51073, 50931, 51073, 50462, 53771, 64217, 50968, 51073, 50474, 53077, 66562, 73642, 51073, 51540, 53250, 70148, 64217, 51247, 51472, 51050, 51472, 50426, 53077, 66562, 73642, 69052, 54414, 61928, 66562, 69556, 54812, 51472, 51247, 51472, 51050, 51472, 50871, 51472, 50877, 51472, 50474, 54812, 63882, 70148, 51073, 51540, 55062, 51472, 52206, 51472, 51085, 51472, 50900, 51472, 50861, 51472, 50438, 54812, 63882, 70148, 69556, 54414, 51073, 52206, 51710, 50292, 57704, 66562, 51073, 50456, 52759, 51710, 50293, 50924, 50462, 54812, 51073, 51120, 63882, 70148, 51073, 50474, 55062, 51073, 51315, 51073, 51027, 65815, 61928, 51073, 51540, 56587, 51896, 51247, 50821, 51050, 50821, 51027, 51896, 50900, 51896, 50871, 51896, 50426, 51247, 50821, 51050, 52877, 51247, 50821, 51050, 53153, 51247, 51919, 50297, 50936, 50474, 53250, 51073, 51146, 50859, 50477, 51062, 50859, 50480, 51220, 50859, 50483, 51062, 50859, 51540, 53407, 63882, 51073, 51339, 69555, 54985, 70148, 51073, 51814, 69052, 53863, 64217, 51487, 69556, 53407, 63882, 51073, 51339, 51073, 50462, 53771, 66562, 51073, 51430, 51073, 50474, 53077, 73642, 51073, 51146, 51073, 51540, 53250, 63882, 51073, 51062, 69555, 53771, 51710, 50332, 64608, 51073, 50432, 53077, 51710, 50330, 58818, 53250, 77604, 58733, 51073, 50444, 54414, 51710, 50326, 58138, 54812, 51472, 50871, 51073, 50999, 51472, 50462, 50877, 51073, 50474, 54812, 64217, 50999, 51073, 51540, 55062, 51472, 50997, 51073, 50951, 51472, 53337, 69052, 53077, 61928, 51073, 51146, 69556, 53250, 51472, 50900, 77604, 51472, 50456, 50916, 50924, 50462, 50861, 51073, 50474, 60293, 66562, 51073, 50968, 51073, 51540, 56587, 51896, 50871, 70148, 51073, 50931, 51896, 53523, 52877, 51027, 53153, 51050, 51472, 50474, 54812, 51073, 50931, 51073, 50999, 51073, 51540, 55062, 51472, 52206, 60594, 51472, 50951, 51472, 70161, 69052, 54812, 51073, 51085, 51073, 50931, 51073, 50999, 69556, 54414, 51073, 51085, 51073, 50951, 51073, 51081, 51073, 50462, 54812, 51073, 51085, 51073, 50931, 51073, 50999, 51073, 50474, 55062, 51073, 51085, 73624, 51073, 50951, 51073, 50477, 51120, 50859, 50480, 51197, 50859, 50483, 51315, 50859, 51540, 54812, 51472, 51247, 51073, 50931, 51472, 50999, 51472, 60643, 69052, 53250, 51073, 51050, 51073, 51062, 69556, 53407, 51472, 51050, 51073, 51339, 51472, 50462, 51050, 51073, 50474, 54812, 51073, 51050, 50859, 50931, 51073, 50999, 51073, 50477, 51026, 50859, 50480, 51027, 50859, 50483, 51086, 50859, 51540, 55062, 51472, 50900, 51073, 50968, 51472, 50951, 51472, 53523, 69052, 54812, 65815, 51073, 50931, 51073, 50999, 69556, 54414, 65815, 51073, 50951, 51073, 51081, 51073, 50462, 54812, 65815, 51073, 50931, 51073, 50999, 51073, 50474, 55062, 65815, 50859, 50968, 51073, 50951, 51073, 50477, 51086, 50859, 50480, 50900, 50859, 50483, 50997, 50859, 51540, 54812, 51472, 50999, 75858, 51073, 63766, 57316, 50999, 60757, 51073, 77431, 58818, 53250, 51073, 50999, 60757, 51073, 50444, 51062, 58138, 53407, 51472, 50871, 51073, 51339, 51472, 50462, 50871, 51073, 50474, 53250, 63882, 50859, 50999, 51073, 51062, 51073, 50477, 50916, 50859, 50480, 50899, 50859, 50483, 50900, 50859, 51540, 53077, 51472, 50997, 51710, 50326, 51472, 51146, 51472, 55961, 50924, 53337, 57943, 50871, 58818, 53407, 64209, 51710, 50333, 51073, 57428, 58138, 56418, 51472, 50997, 51710, 50338, 51472, 50456, 50871, 50924, 78092, 50924, 50468, 50871, 50924, 50474, 53077, 64209, 51710, 50326, 51073, 51146, 51073, 50480, 50871, 50924, 51540, 53250, 51472, 51050, 51710, 50325, 51472, 51062, 51472, 55961, 50924, 57025, 57943, 50871, 58818, 53407, 65815, 51710, 50333, 51073, 57428, 58138, 54985, 51472, 51050, 51710, 50337, 51472, 50456, 50871, 50924, 50462, 51027, 50924, 50468, 50871, 50924, 50474, 53250, 65815, 51710, 50325, 51073, 51062, 51073, 50480, 50871, 50924, 51540, 53077, 51472, 50997, 51710, 50326, 51472, 51146, 51472, 55961, 50924, 53337, 57943, 50871, 58818, 53863, 64209, 51710, 50335, 51073, 57428, 58138, 53771, 51472, 50900, 51710, 50326, 51472, 51430, 51472, 72786, 50924, 50462, 50916, 50924, 50468, 50861, 50924, 50474, 53250, 51073, 51062, 50952, 50916, 50924, 50478, 51220, 50859, 50480, 50861, 50924, 50482, 51081, 50952, 51540, 53407, 51896, 50899, 51710, 50325, 51896, 51339, 51896, 57340, 50924, 53645, 57943, 50877, 50924, 57019, 60021, 50877, 58138, 53077, 51896, 50916, 51710, 50326, 51896, 51146, 51896, 50456, 50906, 50924, 50462, 50861, 50924, 50468, 50906, 50924, 50474, 50861, 50924, 50480, 50906, 50924, 51540, 53250, 63882, 51710, 50325, 51073, 51062, 51073, 58060, 57316, 54414, 51073, 50916, 77152, 51073, 51081, 51073, 59409, 58818, 54812, 63882, 76028, 51073, 50999, 51073, 75795, 58138, 55062, 66562, 51710, 50320, 51073, 50951, 51073, 75152, 50924, 50462, 56587, 70148, 76028, 51073, 50468, 50876, 50924, 50474, 60293, 61928, 59820, 51710, 50320, 51073, 50480, 50876, 50924, 51540, 56587, 51472, 50871, 51472, 50877, 51472, 50931, 51472, 50438, 55062, 51454, 50900, 75930, 51454, 50876, 51454, 50968, 51454, 50951, 51454, 50450, 55062, 52097, 50900, 52097, 50861, 52097, 50876, 52097, 50968, 52097, 50951, 52097, 50474, 54812, 51454, 51050, 51454, 50871, 51454, 50876, 51454, 50931, 51454, 50999, 51454, 51540, 54812, 52097, 51050, 52097, 50871, 52097, 50876, 52097, 50931, 52097, 50999, 52097, 50438, 53771, 51454, 52206, 51454, 51085, 51454, 50951, 51454, 51081, 51454, 51062, 51454, 51430, 51454, 50450, 53771, 52097, 52206, 52097, 51085, 52097, 50951, 52097, 51081, 52097, 51062, 52097, 51430, 52097, 50474, 53407, 51454, 51247, 51454, 51050, 51454, 50931, 51454, 50999, 51454, 51062, 51454, 51339, 51454, 51540, 53407, 52097, 51247, 52097, 51050, 52097, 50931, 52097, 50999, 52097, 51062, 52097, 51339, 52097, 50450, 50876, 72559, 50860, 50462, 51062, 53318, 50335, 51021, 50468, 51062, 53318, 50335, 51021, 50474, 51062, 51454, 51487, 51454, 51540, 50931, 52035, 50325, 54675, 51339, 53318, 50337, 59273, 51339, 53318, 50337, 62729, 51339, 51454, 51814, 51454, 50450, 50876, 72559, 50860, 50462, 51062, 53318, 50340, 51021, 50468, 51062, 53318, 50340, 51021, 50474, 51062, 51454, 51430, 51454, 52357, 51454, 51540, 50871, 72712, 52035, 50333, 52035, 50337, 52035, 50345, 50860, 50474, 51431, 60594, 51454, 51540, 51509, 51472, 51247, 51919, 50297, 63621, 52097, 50931, 52097, 50438, 51509, 70148, 51454, 50931, 51454, 50450, 51509, 51073, 51247, 51919, 50297, 63621, 51454, 50931, 51454, 50462, 51744, 60594, 51454, 50968, 51454, 50474, 51485, 66562, 51454, 50902, 51454, 51540, 51431, 70148, 51454, 50876, 51454, 51247 ]
[ 0, 713, 15352, 30054, 3152, 2214, 6, 19, 670, 3495, 16882, 6, 22750, 1626, 11098, 8, 657, 149, 63, 33558, 34879, 4, 10326, 8, 81, 9756, 3459, 29589, 185, 5, 483, 6, 2800, 30, 30587, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 6780, 10, 5204, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 2877, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 211, 6, 83, 6, 8, 381, 4620, 5, 46336, 24456, 6, 16331, 5705, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 50444, 51268, 52011, 51208, 50974, 51746, 50901, 51823, 58959, 51385, 50972, 52232, 54771, 54110, 52212, 51595, 50972, 51185, 50943, 51499, 50845, 51478, 51013, 52484, 51314, 50791, 50862, 67063, 51079, 51188, 53021, 64195, 51083, 51333, 51268, 50932, 51188, 50995, 51823, 56901, 50887, 51544, 58467, 51401, 51490, 51083, 51703, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 55395, 51020, 50838, 51245, 54042, 60825, 51023, 52919, 51323, 53363, 50791, 50836, 52320, 60550, 52473, 52212, 51969, 51080, 50791, 50840, 66821, 51637, 51200, 72876, 58387, 51083, 51079, 51188, 53021, 52329, 51083, 51432, 51188, 57948, 58255, 51282, 51080, 51089, 51080, 51200, 51047, 51404, 51183, 50791, 50840, 51570, 60825, 51208, 50974, 51746, 54042, 53688, 51385, 50972, 52232, 56362, 55370, 54110, 52147, 51595, 50972, 51185, 50943, 51499, 50845, 51478, 51013, 52484, 51314, 50791, 50855, 67063, 50972, 51188, 53021, 62910, 51083, 51333, 51268, 51108, 51188, 50995, 51823, 56901, 50809, 51544, 57378, 51401, 51490, 51083, 51490, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 52444, 51020, 50838, 51245, 52839, 60226, 51023, 52919, 51323, 53363, 50791, 50840, 52320, 59593, 52473, 52212, 51969, 51080, 50791, 50809, 66821, 51283, 51200, 72876, 55650, 51083, 51079, 51188, 53021, 54818, 51083, 51432, 51188, 57948, 60838, 51282, 51080, 51089, 51080, 51200, 51047, 51404, 69601, 50840, 51570, 57522, 51208, 50974, 51746, 54042, 53938, 51385, 50972, 52232, 56362, 54232, 54110, 52212, 51595, 50972, 51185, 51003, 51499, 50845, 51478, 51013, 52484, 51314, 51065, 50813, 67063, 50972, 51188, 53021, 55650, 51083, 51330, 51268, 51108, 51188, 50995, 51823, 56901, 50890, 51544, 58467, 51401, 51703, 51083, 51490, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 53813, 51020, 50838, 51245, 54042, 60226, 51023, 52919, 51323, 53363, 50791, 50840, 52320, 51126, 51647, 55835, 52473, 52212, 51969, 51080, 50791, 50840, 66821, 51283, 51200, 51115, 63353, 50420, 51083, 51079, 51188, 54265, 53548, 51083, 51432, 51188, 57948, 60838, 51282, 51080, 51089, 51080, 51200, 51047, 51404, 51183, 50791, 50809, 51570, 76373, 51208, 50974, 51746, 54042, 53886, 51385, 51079, 52232, 53021, 59593, 54110, 52212, 79775, 51185, 51003, 51499, 50845, 51478, 51013, 52484, 51314, 50791, 50855, 51621, 51126, 67063, 51079, 51188, 53021, 55650, 51083, 51330, 51268, 51108, 51188, 50995, 51823, 56901, 50836, 51544, 50971, 51532, 57378, 51401, 51490, 51083, 51490, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 54431, 51020, 50838, 51245, 54042, 56069, 51023, 52071, 51323, 51991, 50791, 50836, 52320, 60272, 52473, 52212, 51969, 51080, 50791, 50840, 66821, 51283, 51200, 51115, 53861, 51402, 55772, 51083, 51079, 51188, 50892, 69717, 51083, 51432, 51188, 50972, 52385, 50432, 51282, 50844, 51089, 50822, 51200, 76871, 53097, 51156, 54989, 51208, 50892, 51746, 53794, 51385, 50838, 52232, 56649, 50862, 54706, 54583, 51205, 51226, 54110, 51703, 51595, 50974, 51185, 50914, 51499, 50873, 51478, 51016, 52484, 65345, 57639, 50862, 51329, 51551, 67063, 50838, 51188, 50901, 52470, 51075, 60055, 51083, 51108, 51268, 51097, 51188, 50915, 51823, 71491, 52374, 50887, 51529, 60823, 51213, 55855, 50855, 52470, 66962, 50896, 51401, 51447, 51083, 51447, 51268, 50873, 79439, 51263, 51145, 51188, 51148, 59284, 50887, 51063, 51551, 51075, 56039, 51020, 50905, 66011, 79025, 51023, 53651, 51323, 54454, 50816, 52374, 54755, 50953, 51370, 54232, 50927, 51573, 52473, 51490, 51969, 51244, 59284, 50890, 51155, 51551, 66821, 51477, 51200, 51295, 52470, 51046, 60055, 51083, 50838, 51188, 56649, 52633, 50887, 51075, 52910, 71653, 51083, 51074, 51188, 65178, 50855, 52470, 50432, 51069, 51761, 51282, 51244, 51089, 51244, 51200, 51183, 51404, 51127, 59284, 50890, 51046, 51551, 51570, 50864, 51219, 51364, 50444, 51208, 50892, 51746, 54792, 52374, 50887, 51288, 52728, 77764, 51385, 50838, 52232, 50845, 52470, 50456, 51205, 51761, 54110, 51703, 51595, 50974, 51185, 50914, 51499, 50873, 51478, 51016, 52484, 51244, 59284, 50890, 51329, 51196, 67063, 50838, 51188, 50901, 52470, 51075, 51364, 50420, 51083, 51108, 51268, 51097, 51188, 50981, 51823, 71491, 52633, 50887, 51529, 60823, 51213, 65426, 50855, 52470, 66962, 51059, 51401, 51447, 51083, 51447, 51268, 50873, 79439, 51263, 51145, 51188, 51145, 59284, 50887, 51063, 51196, 51075, 56039, 51020, 50974, 66011, 79025, 51023, 53651, 51323, 54454, 50816, 52633, 54755, 63485, 52470, 50456, 50927, 51029, 52473, 51490, 51969, 51148, 59284, 50890, 51155, 51551, 66821, 51477, 51200, 51295, 52470, 51046, 60055, 51083, 50972, 51188, 56649, 52374, 50887, 51075, 60823, 67910, 51083, 51074, 51188, 65178, 50862, 52470, 67654, 53860, 51069, 50894, 51282, 51244, 51089, 51148, 51200, 51183, 51404, 51127, 59284, 50890, 51046, 51551, 50438, 51069, 51012, 52470, 51219, 60865, 58300, 51208, 50892, 53399, 50795, 51746, 54792, 52633, 50887, 51288, 59731, 51069, 50923, 51385, 50838, 55287, 50795, 52232, 50845, 52470, 50456, 51205, 51761, 54110, 51703, 51595, 50974, 51185, 50914, 53727, 66544, 50901, 51478, 51016, 52484, 73138, 57639, 61747, 51196, 67063, 50838, 51188, 50901, 52470, 51075, 60055, 51083, 51108, 51268, 51097, 52678, 74493, 50915, 51823, 71491, 52633, 50887, 51529, 60823, 51213, 65426, 50862, 52470, 66962, 51573, 51401, 51447, 51083, 51447, 51268, 50873, 52678, 50795, 51823, 50893, 51263, 51148, 51188, 51145, 59284, 50890, 51063, 51551, 51075, 56039, 51020, 50974, 51992, 50795, 66011, 79025, 51023, 53651, 52235, 51036, 51323, 52382, 50816, 52374, 54755, 51213, 51331, 54232, 77199, 52473, 51490, 51969, 51148, 59284, 50887, 51155, 51196, 66821, 51477, 51200, 51295, 52470, 51046, 51364, 50420, 51083, 50838, 51188, 56649, 52374, 50887, 51075, 60823, 55952, 51083, 51074, 51188, 65178, 50862, 52470, 50432, 60378, 51282, 51244, 51089, 51148, 51200, 51183, 51404, 51127, 59284, 50890, 51046, 60655, 51069, 52448, 50864, 51219, 60865, 51208, 50905, 53399, 50795, 51746, 54792, 52633, 50887, 51288, 59731, 60378, 51385, 50838, 55287, 50795, 52232, 50845, 52470, 50456, 51205, 51237, 54110, 51703, 51595, 50974, 51185, 50914, 53727, 66544, 50873, 51478, 51016, 52484, 51244, 59284, 50890, 51329, 51196, 67063, 50838, 76709, 52470, 51075, 51364, 50420, 51083, 51108, 51268, 51097, 52678, 74493, 50915, 51823, 64019, 52633, 50887, 51529, 60823, 51213, 52590, 50862, 52470, 66962, 51059, 51401, 51447, 51083, 51447, 51268, 50873, 52678, 50795, 51823, 50893, 51263, 51148, 51188, 51148, 59284, 50890, 51063, 51196, 51075, 74814, 51020, 50974, 51992, 50795, 66011, 79025, 51023, 53651, 52235, 51036, 51323, 54454, 50816, 52374, 54755, 71151, 52470, 50456, 77199, 52473, 51490, 51969, 66314, 52625, 50862, 51155, 51196, 66821, 51477, 51200, 51295, 50852, 50864, 51046, 60055, 51083, 50838, 51188, 56649, 59057, 50887, 51075, 60823, 55952, 51083, 51166, 51188, 63097, 61036, 50816, 54215, 51011, 51009, 51282, 51244, 51089, 51148, 51200, 51183, 51404, 51127, 50816, 52625, 50813, 51046, 51551, 50435, 51224, 51126, 51658, 70863, 50887, 51219, 50983, 53525, 55434, 51971, 52390, 50930, 51288, 62902, 51224, 54915, 51760, 56234, 54663, 51205, 50824, 54110, 52212, 51595, 50995, 51268, 51466, 52678, 50936, 51499, 51003, 51823 ]
[ 0, 250, 2635, 8, 19448, 3495, 1011, 625, 11, 381, 538, 6, 4246, 10, 13305, 8, 2342, 4467, 816, 15352, 30054, 2301, 14, 35334, 6453, 9, 657, 8, 11926, 6, 19, 10, 33215, 16739, 9, 83, 73, 717, 6, 163, 406, 6, 381, 6, 3676, 1176, 406, 6, 8, 230, 10431, 406, 73, 717, 10431, 11, 10, 132, 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 ]	[ 51057, 50619, 79296, 51279, 79670, 52026, 50305, 51490, 51028, 51490, 50420, 51315, 75674, 50973, 51432, 64185, 79670, 51432, 51057, 51279, 52858, 50312, 52454, 50305, 51314, 51028, 51447, 50420, 51315, 52025, 56207, 51432, 64185, 52858, 50312, 51432, 51057, 51279, 52858, 50310, 68295, 51447, 50973, 51447, 50902, 51447, 50420, 51315, 52025, 62144, 51432, 64185, 52858, 50310, 51432, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 52858, 50308, 56515, 50877, 56515, 51028, 56515, 50968, 56515, 50420, 51315, 52025, 64185, 51432, 51057, 51279, 76194, 51315, 52025, 50432, 52671, 67336, 51432, 51057, 51789, 51741, 50289, 76813, 51315, 52397, 50426, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50851, 51057, 51789, 51712, 50289, 54126, 50308, 53126, 50313, 53126, 50317, 53126, 50320, 52011, 50420, 51789, 50851, 51315, 52397, 50423, 52155, 53220, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50822, 51057, 51789, 51741, 50289, 79124, 52845, 50317, 51490, 50968, 51490, 50420, 51315, 52397, 50426, 51789, 61418, 65298, 51789, 50851, 50916, 79124, 51387, 50435, 52083, 50810, 51057, 52251, 51458, 50289, 53186, 50312, 52845, 50317, 51490, 50968, 51490, 50420, 52083, 50827, 51315, 52397, 50423, 51789, 53220, 52671, 51255, 50877, 51432, 64185, 53186, 50312, 51387, 50435, 52671, 50827, 51057, 51789, 51351, 51279, 53186, 50310, 52845, 50313, 52845, 50317, 74606, 51315, 52397, 62144, 52858, 50315, 52858, 50318, 51432, 50429, 52202, 55100, 52671, 50851, 50916, 53186, 50310, 51387, 50435, 51596, 50827, 51057, 52671, 51244, 51279, 52858, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50965, 52845, 50317, 52845, 50320, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 53186, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52025, 50423, 50989, 55124, 50965, 51852, 50916, 52454, 50317, 52454, 50320, 51330, 64185, 75256, 70253, 51057, 51360, 80095, 51172, 50916, 74827, 67142, 51315, 51333, 50423, 51028, 54325, 50902, 51412, 50916, 61817, 57547, 50916, 60663, 60300, 51057, 52083, 51853, 50305, 77418, 62722, 51517, 50322, 57410, 51827, 50844, 50989, 70754, 52251, 52580, 52083, 51534, 50906, 62215, 65521, 52019, 50322, 61271, 50989, 56784, 52671, 50912, 51057, 51789, 70313, 72457, 61418, 58903, 54177, 52083, 51712, 50305, 72397, 78172, 52019, 50322, 60324, 51827, 63772, 58125, 52251, 52739, 52083, 50851, 50916, 57292, 58902, 67646, 56784, 52671, 50851, 51057, 51789, 52454, 50306, 52136, 50973, 51283, 50965, 51447, 50968, 51447, 56440, 52136, 50426, 51789, 65521, 56427, 51120, 51853, 50315, 50974, 51057, 51686, 51458, 50293, 74471, 66920, 73318, 52604, 51800, 50301, 55752, 51120, 52454, 50310, 59219, 70713, 55665, 52156, 69792, 51074, 51057, 51686, 50810, 51315, 67278, 61817, 79441, 70544, 52671, 54711, 52671, 51318, 51027, 55752, 50965, 51644, 50298, 68295, 65521, 55665, 51027, 52511, 50310, 51079, 51057, 52671, 50907, 50916, 53164, 50312, 53164, 50317, 51466, 50417, 52251, 54711, 51789, 52845, 50300, 51432, 53337, 53126, 50308, 80102, 53164, 50317, 52011, 50432, 52671, 50907, 51315, 51432, 50435, 52202, 50984, 51057, 52155, 51490, 51279, 79670, 52026, 50305, 51490, 51028, 51703, 50420, 51315, 75674, 50973, 51432, 64185, 79670, 51432, 51057, 51279, 52858, 50312, 52454, 50305, 51314, 51028, 51447, 50420, 51315, 52025, 56207, 51432, 64185, 52858, 50312, 51432, 51057, 51279, 52858, 50310, 68295, 51447, 50973, 51447, 50902, 51447, 50420, 51315, 52025, 62144, 51432, 64185, 52858, 50310, 51432, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 67995, 51789, 67336, 51432, 50435, 50989, 51022, 51057, 51789, 51911, 50289, 54126, 50308, 53126, 50313, 53126, 50317, 53126, 50320, 52011, 50420, 51315, 52397, 50426, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50851, 51057, 51789, 51712, 50289, 54126, 50308, 53126, 50313, 53126, 50317, 53126, 50320, 52011, 50420, 51789, 50851, 51315, 52397, 50423, 52155, 53220, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50822, 51057, 51789, 51310, 51279, 79124, 52845, 50317, 51490, 50968, 51490, 50420, 51315, 52397, 50426, 50973, 65298, 51789, 50851, 50916, 79124, 51387, 50435, 52083, 50810, 51057, 52251, 51458, 50289, 53186, 50312, 52845, 50317, 51490, 50968, 51490, 50420, 52083, 50827, 51315, 52397, 50423, 51789, 53220, 52671, 51255, 50877, 51432, 64185, 53186, 50312, 51387, 50435, 52671, 50827, 51057, 51789, 51351, 51279, 53186, 50310, 52845, 50313, 52845, 50317, 74606, 51315, 52397, 62144, 53186, 50315, 53186, 50318, 51387, 50429, 52202, 55100, 52671, 50851, 50916, 53186, 50310, 51387, 50435, 51596, 50827, 51057, 52671, 51244, 51279, 53186, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50965, 52845, 50317, 52845, 50320, 51333, 64185, 51387, 50435, 50989, 51022, 51057, 52671, 52845, 50289, 53186, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52397, 50423, 50989, 55124, 50965, 51645, 50916, 52454, 50317, 52454, 50320, 51330, 64185, 75256, 61825, 51057, 51360, 80095, 51172, 50916, 74827, 67142, 51315, 51333, 50423, 51028, 54325, 50902, 51412, 50916, 61817, 57547, 50916, 60663, 60300, 51057, 52083, 51853, 50305, 77418, 74827, 52026, 50322, 67142, 51827, 50844, 50989, 70754, 52251, 52580, 52083, 51534, 50906, 62215, 65521, 52019, 50322, 61271, 50989, 60663, 52671, 50912, 51057, 51789, 70313, 72457, 51853, 50315, 68081, 59288, 52083, 51712, 50305, 72397, 78172, 52019, 50322, 60324, 51827, 63772, 58125, 52251, 52739, 52083, 50851, 50916, 65273, 71174, 51853, 50322, 60663, 52671, 50851, 51057, 51789, 51447, 50899, 52136, 50973, 51283, 50965, 51447, 50968, 51447, 56440, 52136, 50426, 51028, 56427, 51120, 51853, 50315, 50974, 51057, 51686, 51458, 50293, 74471, 66920, 73318, 52604, 51800, 50301, 55752, 51120, 52454, 50310, 59219, 70713, 55665, 52156, 69792, 51074, 51057, 51686, 50810, 51315, 67278, 61817, 79441, 70544, 52671, 54711, 52671, 51318, 51027, 55752, 50965, 51712, 50298, 68295, 65521, 55665, 51027, 52511, 50310, 51079, 51057, 52251, 51852, 50916, 53164, 50312, 52454, 50317, 51330, 66650, 51432, 50423, 52251, 52580, 52083, 52104, 50319, 74468, 53126, 50313, 52845, 50317, 67995, 51789, 50912, 51176, 52858, 50320, 72324, 52161, 50907, 51057, 52671, 51447 ]
[ 0, 713, 17627, 17274, 5175, 2214, 6, 30291, 19, 10, 2365, 8, 33558, 16464, 6, 1575, 10, 11739, 9, 38668, 18569, 6, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 8, 3152, 6757, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 381, 401, 6, 2060, 406, 73, 347, 6, 230, 10431, 119, 406, 6, 12608, 6, 8, 274, 10431, 119, 406, 3639, 10, 2842, 9, 46336, 30368, 7, 42, 15352, 30054, 8, 12298, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50796, 50799, 50746, 50289, 53454, 76498, 53651, 51200, 54300, 50420, 59060, 51449, 50427, 57541, 51151, 50432, 51823, 61075, 51245, 64042, 52074, 53980, 61514, 52337, 51323, 51183, 50451, 63452, 55068, 50456, 52232, 61688, 51478, 67205, 52856, 50886, 54468, 50936, 57835, 61466, 51265, 50866, 52166, 52707, 50928, 50746, 50329, 51717, 51770, 78996, 51125, 61062, 73654, 51125, 50886, 62308, 51726, 56879, 53461, 73768, 57553, 50422, 52106, 62520, 52400, 53935, 51640, 59371, 50867, 62308, 51990, 53095, 54499, 51239, 53461, 50928, 50746, 50332, 51717, 51940, 70085, 51125, 71699, 53824, 63341, 52150, 54860, 51349, 51016, 51125, 51363, 50850, 51363, 51265, 50915, 59024, 51004, 53468, 63502, 50868, 51363, 50434, 54022, 64042, 53253, 50886, 68435, 53522, 51004, 50746, 50337, 51717, 57119, 63883, 51374, 50858, 57553, 62308, 62914, 68807, 71102, 51125, 54185, 51640, 50858, 67873, 55853, 51990, 53877, 54499, 51239, 53522, 76595, 50868, 53820, 51349, 51016, 65130, 62308, 51265, 50915, 59024, 51129, 50457, 51125, 50867, 50799, 67210, 50850, 53095, 51179, 53522, 65843, 50868, 54351, 51374, 60709, 50867, 62308, 62914, 60711, 73768, 51125, 52921, 51640, 74503, 50867, 50850, 50857, 51990, 53877, 54499, 51239, 53461, 78342, 50868, 53860, 51349, 75736, 51363, 75400, 51265, 50915, 59024, 68658, 51125, 51411, 68435, 53522, 54189, 51374, 74503, 50886, 62308, 51726, 51589, 53522, 72485, 50868, 54105, 51640, 59371, 50959, 66214, 51990, 53095, 52572, 51187, 53522, 76595, 51125, 61898, 51349, 50940, 51125, 50867, 62308, 51265, 50878, 59024, 69646, 65130, 54468, 50936, 57835, 61302, 51265, 50866, 52166, 52707, 51004, 50415, 51125, 55085, 73654, 67873, 62308, 51726, 50955, 68807, 73768, 50868, 53803, 51640, 59371, 50867, 50850, 50857, 51990, 53095, 54499, 51239, 52707, 78342, 51125, 53860, 51349, 51016, 51125, 51411, 50850, 51411, 51265, 50915, 56836, 68658, 50868, 51411, 51658, 51179, 52707, 54189, 51374, 59371, 50867, 50850, 50829, 62914, 68807, 72485, 51125, 54185, 51640, 71976, 50959, 61466, 51990, 53877, 54499, 51239, 52707, 76595, 50868, 61898, 51349, 51016, 65130, 50850, 50857, 51265, 50915, 54257, 69646, 51125, 50867, 50799, 51125, 57955, 53309, 51135, 53522, 74663, 57835, 50420, 51374, 50859, 58570, 56955, 62914, 68807, 72592, 51125, 53803, 51640, 74503, 50867, 50850, 50857, 51990, 53877, 54499, 51239, 53522, 78342, 50868, 53860, 51349, 75736, 51411, 50850, 51411, 51265, 50915, 56836, 78694, 51125, 51312, 68435, 53522, 54485, 51374, 74503, 50867, 62308, 51726, 51589, 53522, 72485, 50868, 54105, 51640, 50858, 57835, 61466, 51990, 53095, 54499, 51239, 53461, 76595, 51125, 59631, 51349, 50940, 64538, 51033, 51125, 57955, 50857, 51265, 50878, 56836, 69646, 65130, 54468, 50936, 78093, 51566, 57835, 61466, 51265, 50866, 53100, 51151, 52225, 51264, 52166, 52707, 65843, 51125, 61062, 73654, 51125, 50886, 62308, 51726, 56879, 53461, 73768, 50868, 53935, 51640, 50940, 65130, 62308, 51990, 53095, 54499, 51239, 53461, 78342, 51125, 54860, 51349, 51016, 51125, 51363, 50850, 51363, 51265, 50915, 59024, 68658, 50868, 51363, 68435, 53522, 54406, 51374, 50858, 57553, 62308, 62914, 68807, 71102, 51125, 54185, 51640, 50858, 67873, 55853, 51990, 53877, 54499, 51239, 53522, 76595, 50868, 53820, 59480, 50811, 51349, 51016, 65130, 62308, 51265, 50915, 59024, 51129, 50457, 51125, 50867, 51094, 50315, 72077, 50844, 55119, 51881, 51151, 53129, 50918, 52455, 53522, 65843, 50944, 54351, 51374, 50859, 78093, 50824, 67517, 62308, 62914, 60711, 73768, 51007, 52921, 51640, 50952, 51007, 50867, 50850, 50857, 51990, 53877, 54499, 51239, 53461, 78342, 50944, 53860, 51349, 51016, 50944, 51363, 75400, 51265, 50915, 59024, 68658, 51007, 51411, 50436, 78093, 61546, 52036, 50918, 52166, 53522, 54189, 51374, 72580, 50886, 62308, 51726, 51589, 53522, 72485, 50872, 54105, 51640, 50858, 64538, 51033, 66058, 66214, 51990, 53095, 52572, 51187, 53522, 76595, 51007, 61898, 51349, 50940, 78093, 51059, 51007, 50867, 62308, 51265, 50878, 59024, 69646, 58442, 54468, 50936, 57835, 61302, 51265, 50866, 53100, 51151, 52225, 51264, 52166, 52707, 51004, 50415, 51125, 55085, 73654, 67873, 62308, 51726, 50955, 68807, 73768, 50868, 53803, 51640, 50948, 65130, 50850, 50857, 51990, 53095, 54499, 51239, 52707, 78342, 51125, 53860, 51349, 51016, 51125, 51411, 50850, 51411, 51265, 50915, 56836, 68658, 50868, 51411, 51658, 51179, 52707, 54189, 51374, 59371, 50867, 50850, 50829, 62914, 68807, 72485, 51125, 54185, 51640, 71976, 50959, 61466, 51990, 53877, 54499, 51239, 52707, 76595, 50868, 61898, 51349, 56567, 50867, 50850, 50857, 51265, 50845, 54257, 69646, 59480, 50803, 51125, 50867, 51094, 50315, 50803, 51602, 50936, 51125, 65217, 50813, 52007, 50866, 52036, 51264, 52187, 51151, 52166, 53522, 74663, 60942, 50420, 51957, 50940, 78093, 50993, 58518, 64630, 52899, 50955, 68807, 72592, 51125, 53803, 51132, 71976, 50867, 50992, 50857, 51425, 53095, 54499, 51239, 53522, 78342, 58442, 50431, 59212, 52030, 51602, 67949, 51411, 50992, 51411, 52007, 50915, 56836, 78694, 51125, 51312, 68435, 53522, 62889, 78093, 53681, 51957, 71976, 50867, 71104, 52899, 50844, 68807, 72485, 50872, 54105, 71159, 60942, 71661, 51425, 53877, 54499, 51239, 53461, 76595, 51125, 50955, 50453, 64538, 58954, 51602, 70765, 65217, 50857, 52007, 50845, 56836, 69646, 58442, 55934, 50936, 59480, 51300, 51125, 57955, 50813, 51990, 50866, 53129, 51103, 51656, 51717, 52166, 52707, 65843, 50944, 68655, 51957, 50940, 61910, 56955, 52899, 56879, 53461, 73768, 51125, 53803, 51374, 50948, 51125, 50867, 50850, 50857, 51726, 50866, 66502, 51239, 53461, 78342, 50944, 53860, 51640, 50948, 50944, 51411, 50850, 51411, 51990, 50866, 59024, 68658, 51125, 51312, 54360, 50936, 51726, 50866, 52225, 50918, 52166, 53522, 51004, 50439, 59480, 56059, 51957, 50940, 51125, 50867, 62308, 52899, 50955, 68807, 71102, 51017, 57091, 70728, 54554, 51533, 50948, 75419, 61466, 52191, 50866, 66502, 51239, 53522, 76595, 51125, 71929, 59480, 55273, 51374, 50948, 51125, 57955, 50857, 51726, 50866, 59024, 51129, 50457, 65130, 54293, 50936, 70728, 51029, 50909, 57955, 50813, 52191, 50866, 52340, 51036, 53088, 51359, 51617, 51359, 52421, 51359, 52455, 53522, 65843, 50979, 68655, 51844, 50940, 64130, 56955, 52331, 50955, 60711, 73768, 50909, 53803, 51338, 66278, 50867, 50850, 50857, 51915, 53095, 54499, 51239, 53461, 78342, 50979, 62627, 59480, 68141, 51533, 79862, 51411, 50850, 51411, 52191, 50915, 59024, 68658, 50909, 51312, 68435, 53522, 50982, 50440, 70728, 51184, 50444, 51640, 66278, 50867, 62308, 51990, 50844, 68807, 72485, 50979, 54105, 51349, 50948, 75419, 61466, 51265, 50987, 62936, 51187, 53522, 50928, 73466, 59631, 51416, 62289, 57955, 50857, 51223, 50845, 52184, 50910, 51584, 50878, 59024, 69646, 69643, 59373, 50936, 50935, 65762, 50813, 51545, 50866, 51838, 54153, 51612, 50821, 51902, 50808, 52089, 52423, 51135, 52707, 51004, 50415, 59081, 50416, 51914, 52122, 51617, 51359, 52421, 74905, 51640, 50940, 55315, 61910, 51990, 50955, 51902, 50800, 51612, 50821, 52089, 51049, 53522, 73768, 50935, 53803, 51349, 66115, 50867, 50944, 50857, 51265, 50810, 52089, 50948, 51612, 51138, 51902, 50948, 66502, 51239, 52707, 78342, 50848, 53860, 51910, 51016, 50848, 51411, 50944, 51411, 51545 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 10, 6755, 12547, 6, 3459, 9590, 6, 21979, 8669, 6, 21072, 6, 8, 2382, 3459, 8669, 4, 20, 7212, 20889, 8, 204, 73, 306, 86, 6543, 1045, 10, 3279, 6, 8520, 5466, 6, 19, 5, 33215, 16739, 9, 272, 73, 387, 6, 230, 6, 211, 6, 163, 119, 6, 8, 3676, 1271, 7, 5, 2214, 18, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50426, 51032, 50893, 50427, 50998, 50923, 50434, 64808, 50998, 51724, 60502, 50439, 50998, 51030, 50446, 51032, 55932, 50998, 55268, 51032, 71250, 50998, 51021, 50458, 64808, 62049, 68892, 52017, 50945, 50983, 51113, 51417, 51201, 50918, 53422, 50415, 50970, 51124, 50970, 52379, 50422, 66860, 63032, 50970, 76102, 51903, 56987, 72588, 74919, 50945, 58866, 50986, 51134, 50964, 51127, 51093, 51411, 51284, 50889, 51320, 65266, 69916, 50446, 68698, 50947, 51103, 51165, 51203, 51182, 58379, 51636, 50457, 50986, 51642, 50458, 52112, 50461, 51113, 51293, 51201, 51359, 66474, 51233, 50945, 51336, 53422, 50421, 50986, 51351, 50422, 63032, 50970, 50936, 51032, 53734, 51903, 56973, 50970, 51003, 50434, 70903, 50970, 60352, 50914, 63193, 50970, 50936, 51032, 50948, 50964, 51003, 51320, 59575, 50986, 51351, 50446, 70903, 50970, 50859, 50970, 51003, 68698, 50970, 50936, 51032, 50948, 50945, 55506, 51636, 50451, 50947, 51191, 50458, 50970, 50890, 70903, 50986, 51101, 52112, 69146, 51480, 50929, 52379, 51292, 51469, 50964, 51336, 51088, 51692, 51266, 51692, 53422, 50422, 76338, 52112, 51544, 51903, 56973, 50998, 50943, 50433, 67806, 50434, 63193, 50986, 51351, 50953, 51356, 51320, 60797, 69164, 68698, 50929, 51183, 51154, 51178, 51107, 56744, 51636, 50458, 50986, 51177, 52112, 50461, 51301, 51293, 51093, 51353, 69146, 51194, 50964, 51336, 53422, 50421, 50986, 51391, 50422, 63032, 50998, 51095, 51563, 60397, 51903, 56973, 51292, 51379, 50433, 71937, 51438, 50873, 50929, 51003, 50434, 63193, 51032, 50967, 51292, 51110, 50986, 51241, 50953, 51073, 51320, 65266, 51076, 50865, 69164, 50446, 51067, 50938, 68698, 50929, 51194, 50947, 50967, 51032, 51175, 50964, 52496, 51636, 50457, 73248, 51563, 71295, 51292, 50873, 52112, 50461, 51251, 51417, 73934, 51191, 51438, 50918, 51067, 52536, 50953, 51336, 51357, 51183, 53422, 50422, 50960, 51109, 63032, 50929, 52959, 51903, 58167, 51311, 51419, 50434, 63193, 50960, 51159, 50927, 51336, 51154, 51411, 51107, 50914, 51320, 65266, 50929, 51162, 50446, 52112, 50449, 51301, 72380, 51311, 51400, 51093, 56744, 51636, 50457, 50960, 51177, 50458, 52112, 73934, 51351, 50953, 51235, 51251, 51151, 51357, 51353, 53422, 50422, 50960, 51025, 63032, 51563, 50948, 50929, 51013, 50953, 55706, 51903, 56973, 51076, 50936, 50433, 51311, 51419, 50434, 51076, 50924, 51563, 50865, 63193, 61675, 51292, 50879, 50960, 51003, 51011, 50889, 51320, 65266, 50929, 51204, 50446, 66694, 51292, 50948, 68698, 68859, 51067, 50893, 51311, 51255, 51415, 52496, 51636, 50457, 62151, 67830, 50458, 51067, 50830, 52112, 50461, 51301, 51749, 51093, 53295, 61080, 51448, 50998, 51562, 50929, 51413, 50998, 51870, 51032, 51336, 51133, 51077, 53422, 50422, 52112, 51544, 51903, 56987, 52112, 50437, 51154, 60934, 50947, 51551, 50970, 51196, 50945, 51077, 51320, 59575, 50970, 51115, 50986, 51448, 50947, 51562, 50446, 51782, 52418, 69770, 51636, 50458, 51782, 51901, 50817, 50799, 59655, 63386, 67291, 50998, 51173, 50929, 51192, 50964, 52536, 51301, 52015, 51320, 59013, 52112, 51544, 51903, 56987, 52112, 51570, 60797, 51762, 52320, 61765, 51762, 61080, 50943, 50964, 51336, 51320, 64246, 70700, 50422, 63032, 50929, 60596, 51903, 58167, 50986, 51047, 50434, 63193, 50970, 51397, 50947, 51413, 50945, 61760, 52195, 51320, 60797, 60899, 50953, 50889, 55389, 63554, 51061, 77568, 51762, 61080, 51241, 50964, 50918, 51089, 51294, 51320, 59013, 70700, 52112, 51544, 51903, 56973, 50929, 50943, 50434, 50986, 51351, 63193, 50998, 50943, 50927, 51157, 51320, 60797, 50929, 52256, 60899, 50986, 51255, 51019, 51159, 55389, 63554, 50998, 78450, 51762, 61080, 51241, 50945, 50895, 50945, 51336, 51320, 59013, 78349, 63032, 50947, 55859, 51903, 58167, 50986, 51419, 50434, 52112, 56107, 50918, 51320, 59575, 50970, 51391, 50446, 50947, 51183, 60899, 50986, 51203, 55389, 61765, 60918, 51762, 61080, 51351, 50945, 51356, 51320, 59013, 74376, 52112, 51544, 51903, 56973, 50947, 51351, 50434, 50986, 51391, 52112, 56107, 50914, 51320, 59575, 69916, 50446, 50947, 51419, 60899, 50986, 51203, 50945, 50889, 55389, 61765, 50970, 51589, 50820, 61894, 51091, 50953, 50918, 51320, 59013, 64387, 63032, 51076, 51351, 50791, 51903, 56987, 50960, 51419, 52112, 53758, 51336, 51320, 59575, 67806, 50445, 51076, 51749, 50446, 60899, 50960, 51203, 55389, 63554, 65244, 50458, 51762, 61894, 51241, 50953, 51077, 51320, 64246, 50929, 51391, 50422, 63032, 51076, 59348, 51903, 58167, 50960, 51134, 50434, 63193, 50929, 51003, 74235, 51320, 65266, 51076, 51961, 50446, 60899, 50960, 51255, 77935, 55389, 63554, 65738, 50458, 51762, 61080, 51191, 50964, 50918, 53422, 50422, 50998, 51419, 52112, 51544, 51903, 56973, 50929, 79865, 66192, 63193, 74376, 72588, 50945, 50889, 51320, 60797, 51782, 52418, 52568, 50998, 51194, 50929, 51255, 51019, 67526, 51636, 50458, 65865, 70850, 51782, 51901, 53736, 50927, 50955, 61080, 51692, 50998, 51692, 50964, 51591, 51320, 59013, 52112, 51544, 51903, 56987, 63193, 51320, 50385, 52418, 60797, 51762, 52320, 64032, 61765, 51230, 51901, 50817, 61080, 51191, 50964, 51336, 51320, 64246, 69164, 50422, 63032, 50986, 51110, 50998, 51167, 50929, 64389, 51903, 58167, 65607, 62151, 65868, 50434, 63193, 68533, 62018, 70700, 50953, 51103, 51320, 65266, 68859, 70696, 50929, 51127, 50446, 60899, 50986, 51337, 50998, 51178, 50929, 51178, 55389, 63554, 66559, 63852, 50998, 51242, 50458, 51762, 61080, 51391, 50986, 51358, 50998, 51977, 50964, 50918, 51320, 64246, 69164, 50422, 63032, 50929, 55859, 51903, 56987, 50986, 51391, 63193, 50998, 51134, 50927, 50914, 51320, 60797, 50929, 51145, 60899, 50986, 51221, 51019, 50889, 55389, 61765, 50998, 51775, 51762, 61080, 51134, 50945, 50918, 51320, 64246, 50970, 51003, 50422, 63032, 50947, 75263, 51903, 58167, 64207, 50947, 59662, 66860, 63193, 74658, 51076, 50897, 74376, 50964, 51103, 51320, 65266, 50947, 51047, 50446, 60899, 66309, 51032, 51060, 50986, 51255, 55389, 63554, 69162, 50458, 50970, 51353, 50947, 51696, 51762, 61080, 51134, 50945, 51362, 51320, 59013, 69916, 52112, 51544, 51903, 56973, 50947, 51241, 50434, 71311, 69642, 63193, 51320, 59575, 71932, 51011, 51158, 50445, 50947, 51562, 50446, 51133, 50917, 60899, 50986, 51203, 51011, 51173, 55389, 63554, 50970, 77055, 70043, 51762, 61080, 51241, 51133, 51364, 51320, 64246, 70700, 50422, 52112, 51544, 51903, 56973, 50929, 50943, 50434, 50986, 51391, 51271, 50917, 63193, 70700, 51817, 51215, 51320, 60797, 50929, 51391, 52018, 50938, 60899, 50986, 51255, 51817, 51286, 55389, 63554, 68864, 51133, 67164, 51762, 73934, 51191, 50953, 51343, 51320, 59013, 50960, 51109, 63032, 50929, 51204, 50791, 51903, 58167, 51311, 51391, 50434, 74919, 70431, 53758, 50807, 51320, 59575, 50960, 51400, 50446, 50929, 51391, 60899, 51311, 51363, 55389, 57905, 60908, 50458, 63232, 51762, 54272, 51991, 50964, 51655, 51320, 56868, 50986, 51134, 50422, 70700, 52112, 51544, 51903, 56973, 50929, 51003, 50434, 65868, 63193, 50998, 51312, 51320, 60797, 50929, 51448, 60899, 50986, 51203, 55389, 63554, 50998, 51363, 50458, 51762, 61080, 50942, 50964, 51238, 51093, 51328, 51266, 51194, 51320, 59013, 63032, 50986, 51203, 50998, 50943, 50964, 51016, 51093, 51097, 51266, 51003, 55389, 50385, 52418, 53291, 57834, 51553, 58322, 51782, 52418, 62256 ]
[ 0, 250, 765, 15855, 5175, 2125, 19, 10, 2933, 8, 9066, 6711, 6, 4246, 17035, 873, 2401, 8, 12280, 3275, 1725, 3109, 4, 85, 18, 11, 83, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 20, 33215, 16739, 1171, 211, 6, 3676, 6, 83, 6, 272, 6, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 52049, 73963, 52049, 51095, 50431, 52049, 51095, 50439, 52242, 51095, 50448, 51975, 62805, 52416, 51215, 51809, 52044, 51095, 50425, 52342, 51095, 50433, 52416, 51215, 56184, 79178, 55402, 50910, 50441, 52416, 51215, 55402, 57006, 52205, 51175, 50458, 52342, 50967, 53069, 52662, 50967, 50427, 52443, 51095, 61607, 50952, 50431, 59940, 68066, 51975, 51095, 59940, 60204, 52044, 51178, 50452, 52416, 51110, 50460, 52044, 51110, 55753, 52416, 51178, 50429, 51975, 51215, 62844, 50925, 50694, 50326, 75407, 63056, 50952, 75959, 79178, 63056, 50910, 75959, 56983, 51975, 51215, 50446, 52044, 51215, 50454, 52416, 51175, 51601, 52416, 51215, 50423, 52342, 50967, 50431, 52416, 51175, 62844, 50952, 50436, 63056, 50897, 50440, 52416, 51175, 63056, 50897, 50448, 52342, 51167, 50457, 52416, 51215, 52177, 52416, 51215, 50425, 51975, 50967, 62844, 71307, 62844, 64160, 52044, 50967, 62844, 69822, 52044, 64949, 52416, 50967, 50459, 52044, 51095, 53069, 52044, 51110, 50428, 52049, 51095, 63056, 50910, 63056, 59099, 57839, 50897, 63056, 50830, 50436, 52242, 51095, 57839, 50910, 63056, 60204, 52242, 51178, 50453, 52443, 51178, 50461, 52044, 51110, 55753, 51975, 51178, 50430, 51975, 51178, 50438, 51975, 51110, 55402, 50925, 50442, 55951, 70894, 55951, 58726, 52044, 51095, 50455, 52416, 50967, 51601, 52044, 51095, 50424, 52044, 66440, 52242, 51110, 56184, 50910, 50436, 55402, 75326, 52242, 51178, 56184, 50910, 50449, 52242, 51194, 50457, 52242, 51194, 52478, 52049, 75262, 52292, 79761, 52242, 51215, 53139, 50942, 53652, 50925, 53652, 56983, 53139, 50921, 53139, 50910, 53652, 50952, 50443, 52242, 51215, 53139, 50910, 53652, 50910, 53652, 50910, 50451, 52242, 51215, 50459, 51975, 51215, 52591, 52044, 51215, 50428, 51975, 51215, 50437, 52044, 50967, 50445, 52044, 51175, 57839, 50952, 50449, 57839, 79179, 52044, 51175, 57839, 50897, 50799, 52416, 51167, 50422, 52044, 51215, 50430, 52044, 51215, 50439, 52242, 51215, 56184, 50940, 50443, 56184, 71149, 52443, 50967, 56184, 57313, 51975, 51095, 51809, 52044, 50967, 50424, 52443, 51095, 50433, 51975, 51110, 50441, 52443, 51175, 53427, 50952, 55402, 50910, 50445, 53856, 50897, 55951, 50952, 50449, 52443, 51175, 53856, 50897, 55402, 61076, 52443, 51175, 52478, 51975, 51167, 50427, 52443, 51175, 50435, 51975, 51215, 50443, 51975, 51167, 57839, 75250, 58890, 50897, 50452, 52443, 51175, 58988, 50897, 50460, 52443, 51167, 52591, 52242, 51175, 50429, 52242, 51175, 50437, 52242, 51215, 58988, 78447, 58890, 50942, 50445, 58988, 64482, 52242, 51215, 50454, 52242, 50967, 50799, 52242, 51215, 50423, 52049, 50967, 50431, 52049, 51095, 50439, 52049, 50967, 53139, 50830, 53652, 61897, 53139, 50910, 53652, 50925, 50448, 52049, 50967, 53652, 50910, 55951, 57939, 52049, 51095, 52177, 52049, 51110, 50425, 52242, 50967, 50433, 52049, 51095, 50442, 52049, 65114, 52242, 50967, 53652, 69821, 53139, 56388, 52242, 50967, 53139, 50910, 53069, 52242, 51215, 50427, 52049, 50967, 50436, 52049, 75658, 52292, 51095, 58890, 50830, 50448, 56199, 50910, 50452, 52292, 51110, 58890, 78123, 52740, 51178, 55753, 52292, 51178, 50429, 52573, 64859, 52573, 51178, 50446, 52292, 51095, 53559, 50925, 53139, 50910, 53652, 58710, 53559, 50940, 52889, 50830, 53139, 69821, 53559, 50910, 53139, 50910, 53652, 50910, 50455, 52292, 51095, 51601, 52292, 51178, 50423, 52292, 71992, 52049, 51178, 50440, 52242, 51095, 50448, 52049, 51178, 50457, 52242, 51194, 52177, 52242, 51110, 53139, 50925, 50421, 53139, 71201, 53139, 58798, 52242, 51110, 50434, 51975, 50967, 50442, 52242, 51110, 50451, 52443, 51110, 50459, 52292, 51178, 58988, 50897, 51601, 58890, 78217, 52292, 51178, 58890, 68821, 52292, 51194, 50436, 52049, 51194, 50445, 52740, 51178, 50453, 52740, 51194, 50461, 52049, 51110, 55791, 50942, 69256, 50925, 52177, 57921, 50940, 69256, 73489, 52292, 51095, 55791, 50830, 69256, 59161, 52049, 64859, 52242, 50967, 50447, 52049, 51095, 50455, 52049, 51110, 51809, 52242, 50967, 56199, 60724, 55791, 50830, 50424, 52242, 50967, 56199, 58466, 52242, 51215, 50441, 52049, 50967, 50449, 52049, 51095, 50457, 52292, 51095, 58890, 50830, 50799, 56199, 69392, 52292, 51110, 58890, 56382, 52740, 51178, 50435, 52740, 51178, 50443, 52573, 51110, 50451, 52573, 51178, 50460, 52740, 51110, 55497, 50910, 53559, 50925, 51809, 55497, 50830, 53559, 61955, 52740, 51178, 55497, 50910, 53559, 50897, 50428, 52573, 51194, 50437, 52573, 51194, 50445, 52573, 51194, 50454, 52550, 51194, 50799, 52550, 51194, 50422, 52573, 51194, 55120, 57629, 54713, 50940, 50431, 52573, 51178, 55120, 68563, 52573, 51178, 50447, 52550, 66947, 53296, 51178, 51809, 52550, 51178, 54713, 60872, 54713, 50940, 50424, 55120, 50910, 50425, 53296, 51194, 50433, 53249, 51178, 50441, 53029, 72326, 53571, 51110, 50458, 55061, 51178, 52478, 55527, 50925, 55120, 50942, 69256, 65647, 55527, 50921, 54713, 50921, 50694, 50320, 50952, 50427, 56847, 50897, 55120, 50910, 69256, 50910, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 3495, 2214, 4246, 38668, 2236, 6, 3152, 6757, 6, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 85, 34, 10, 33558, 8, 2829, 1619, 12, 3341, 619, 7, 24, 4, 20, 1349, 16, 11, 83, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 20598, 163, 5683, 4, 20, 1049, 33215, 16739, 10726, 9, 3676, 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 ]	[ 56236, 50796, 50458, 58065, 52122, 60516, 52096, 58004, 52122, 61514, 52122, 62206, 52122, 51265, 50910, 53285, 53501, 50913, 65795, 53495, 51031, 51350, 51003, 51302, 69681, 75692, 51179, 50820, 54117, 50837, 51368, 50837, 51195, 51194, 57096, 50870, 53924, 50365, 51901, 74847, 67256, 51179, 50837, 54117, 50837, 51368, 50837, 51350, 53454, 50438, 50913, 50379, 52289, 51750, 58751, 50920, 77300, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50829, 54117, 50863, 51368, 50863, 63150, 79914, 53495, 52630, 51289, 51179, 61435, 54131, 50884, 54117, 50837, 51368, 50837, 57096, 59383, 51248, 51985, 79914, 55018, 50365, 52082, 50818, 54117, 50837, 51368, 52896, 50913, 72568, 51539, 58751, 50920, 52568, 54117, 50863, 51368, 58958, 52190, 50835, 54117, 50863, 51368, 50863, 50799, 68151, 51717, 61919, 51717, 50744, 50317, 52337, 50913, 52786, 61720, 79273, 53090, 51302, 70119, 51179, 65118, 50839, 54117, 50837, 51368, 50837, 57096, 60002, 53254, 51717, 53924, 53600, 62843, 79914, 67256, 50846, 54117, 50837, 51368, 52896, 50913, 50379, 52289, 51916, 53107, 56877, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 63150, 65795, 58120, 50920, 78212, 70119, 51135, 64882, 50841, 54117, 50837, 51368, 50837, 57096, 50870, 53924, 53600, 67256, 65529, 65795, 50829, 54117, 50837, 51368, 52896, 56836, 52786, 59777, 52763, 51019, 51566, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 55053, 51265, 55277, 50460, 51223, 55408, 53285, 52570, 50913, 65795, 50870, 51350, 53295, 50415, 50920, 52630, 51230, 51901, 53966, 70119, 50884, 54117, 50837, 51368, 50837, 57096, 59516, 51287, 51901, 74847, 55018, 50365, 52082, 50828, 54117, 50837, 51368, 52896, 50913, 50379, 52289, 51750, 57477, 50920, 56877, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50829, 54117, 50863, 51368, 50863, 63150, 79914, 53495, 78212, 51041, 75692, 68002, 50841, 54117, 50837, 51368, 50837, 57096, 50863, 53924, 50367, 51985, 79914, 67256, 79640, 54117, 50837, 51368, 52896, 50920, 52087, 72568, 51539, 52743, 54117, 50863, 51368, 60535, 51368, 52149, 50458, 52190, 50835, 54117, 50863, 51368, 50863, 51265, 55428, 52534, 56736, 50920, 52087, 65795, 50870, 51223, 54153, 80164, 67256, 65163, 50839, 54117, 50837, 51368, 50837, 57096, 53196, 57914, 53413, 53924, 50367, 52082, 51044, 69330, 79914, 50829, 54117, 50837, 51368, 52896, 58081, 52087, 50379, 52289, 57785, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 60122, 52087, 65795, 52872, 51340, 51985, 54131, 70119, 50895, 54117, 50837, 51368, 50837, 57096, 59516, 51248, 51985, 65795, 55018, 50365, 52082, 50846, 54117, 50837, 51368, 50837, 51570, 52499, 52087, 50379, 52289, 52763, 69276, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 53285, 53002, 50913, 65795, 79273, 51717, 50415, 50920, 71523, 65916, 53966, 70119, 50846, 54117, 50837, 51368, 50837, 57096, 59516, 52029, 51901, 74847, 55018, 50365, 52082, 50846, 54117, 50837, 51368, 57413, 55613, 54975, 51676, 51192, 50913, 50379, 52289, 51750, 52523, 56877, 51617, 50936, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 51829, 50806, 52190, 50829, 54117, 50863, 51368, 50863, 60122, 52087, 79914, 58409, 51617, 74189, 51289, 51179, 72783, 54131, 50895, 54117, 50837, 51368, 50837, 57096, 58662, 51190, 51985, 79914, 55018, 50366, 52082, 50884, 54117, 50837, 51368, 57413, 50920, 52676, 55613, 51159, 50913, 72568, 51539, 52772, 54117, 50863, 51368, 58958, 52190, 50835, 54117, 50863, 51368, 57243, 55613, 50807, 63150, 52786, 61720, 50870, 51302, 51135, 69330, 75692, 50818, 54117, 50837, 51368, 50837, 57096, 58662, 51953, 56764, 53796, 62843, 79914, 67256, 50884, 54117, 50837, 51368, 52896, 51676, 51192, 50913, 50379, 52289, 51916, 52499, 56877, 51617, 50806, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 51617, 51192, 52190, 50834, 54117, 50863, 51368, 50863, 60122, 52087, 65795, 52872, 51287, 52082, 68002, 54131, 50884, 54117, 50837, 51368, 50837, 57096, 59516, 51715, 52082, 57979, 65795, 55018, 51004, 54117, 50837, 51368, 57413, 55613, 76094, 50920, 50898, 52300, 50379, 52289, 52763, 51019, 51016, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 50799, 55613, 50995, 51069, 53601, 53146, 51167, 50913, 65795, 53495, 57369, 52328, 52247, 69030, 63561, 75692, 50846, 54117, 50837, 51368, 50837, 57096, 58662, 52328, 51226, 51190, 50934, 50366, 51901, 74847, 67256, 50846, 54117, 50837, 51368, 52896, 63678, 50379, 52289, 57972, 50920, 77300, 54117, 50863, 51368, 52805, 53146, 50921, 54117, 50863, 51368, 58958, 54488, 51226, 52190, 50829, 54117, 50863, 51368, 50863, 63150, 79914, 53495, 57272, 52328, 51508, 54617, 61769, 68002, 50841, 54117, 50837, 51368, 50837, 57096, 58662, 52328, 51226, 51289, 51187, 54528, 50366, 51985, 79914, 50829, 54117, 50837, 51368, 50837, 51570, 52373, 52823, 50388, 52289, 52802, 51829, 50980, 54117, 50863, 51368, 58958, 52190, 50835, 54117, 50863, 51368, 55053, 51368, 52204, 50461, 51265, 55482, 52288, 53002, 52333, 50936, 50920, 52087, 65795, 58120, 51195, 55428, 50422, 51617, 50921, 51302, 70119, 51239, 65916, 50839, 54117, 50837, 51368, 50837, 57096, 59516, 51617, 51226, 51190, 50934, 50365, 51901, 79914, 67256, 50846, 54117, 50837, 51368, 52896, 50920, 50898, 52373, 50379, 52289, 57785, 54117, 50863, 51368, 52805, 52421, 50921, 54117, 50863, 51368, 58958, 51829, 50924, 52190, 50834, 54117, 50863, 51368, 57243, 52333, 50917, 60122, 52087, 65795, 61543, 51617, 51008, 74327, 63202, 65529, 50841, 54117, 50837, 51368, 50837, 57096, 60002, 53298, 52644, 53924, 53600, 72783, 65795, 67256, 50818, 54117, 50837, 51368, 52896, 63678, 52786, 50388, 52289, 52763, 54117, 50863, 51368, 58958, 51953, 50921, 52190, 50834, 54117, 50863, 51368, 55053, 51265, 51243, 50461, 51223, 51151, 53534, 51655, 52328, 50806, 74420, 51293, 50744, 50328, 52250, 50744, 50332, 51151, 50920, 54497, 65795, 50870, 52225, 51243, 53828, 51449, 51350, 51486, 50422, 52328, 53765, 51289, 51187, 61852, 53966, 50895, 54117, 50837, 51368, 50837, 57096, 59516, 51715, 52082, 65163, 74847, 55018, 50982, 54117, 50837, 51368, 52896, 52328, 50806, 63678, 50379, 52289, 52499, 77300, 52328, 70233, 54117, 50863, 51368, 50863, 51350, 50914, 50458, 53293, 51717, 52190, 50829, 54117, 50863, 51368, 50863, 52354, 51264, 52463, 51192, 50744, 50333, 51714, 74420, 52151, 50913, 79914, 53495, 50949, 52036, 51243, 53718, 51449, 51425, 51714, 50415, 51223, 52151, 51265, 52151, 50422, 52328, 66808, 51289, 51239, 64882, 54131, 50895, 54117, 50837, 51368, 50837, 57096, 59516, 51829, 51274, 51190, 51985, 79914, 55018, 50366, 52082, 50846, 54117, 50837, 51368, 57413, 50920, 56262, 61305, 72568, 56892, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 62107, 51829, 50924, 50458, 50744, 50334, 51359, 74420, 51445, 50744, 50328, 51359, 52190, 50835, 54117, 50863, 51368, 55053, 51990, 51243, 50461, 50920, 51031, 51265, 51243, 55194, 51655, 51982, 51346, 50913, 65795, 50870, 53129, 51243, 55248, 51449, 51195, 51293, 50425, 51982, 50980, 51302, 64033, 51044, 65916, 50839, 54117, 50837, 51368, 50837, 57096, 58662, 51829, 53119, 50367, 51901, 79914, 67256 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 14, 115, 28, 341, 25, 10, 19834, 11, 10, 822, 4, 85, 34, 10, 19448, 8, 3722, 6711, 19, 10, 2842, 9, 15073, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 10431, 3694, 6, 34, 10, 7212, 20889, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50877, 53504, 50973, 51835, 50902, 56027, 50902, 51798, 50968, 51923, 51114, 50795, 58540, 57345, 51028, 53218, 51028, 52513, 50902, 51757, 50968, 51923, 50902, 50918, 50796, 63975, 53218, 50902, 52513, 50968, 51757, 51114, 51923, 50968, 50918, 66243, 50968, 53218, 50902, 53312, 50902, 50918, 50796, 63975, 51646, 50968, 51918, 51114, 51798, 51028, 50983, 52591, 51028, 53182, 51028, 52262, 50902, 51724, 50968, 51918, 50902, 50918, 52591, 50902, 53182, 50902, 52262, 50968, 51724, 51114, 51918, 50968, 50918, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 5679, 26709, 5175, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 38668, 22052, 6, 81, 9756, 8669, 6, 13305, 6, 8, 21072, 4, 8504, 11, 211, 3694, 19, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 2933, 648, 15352, 30054, 5466, 6, 13869, 26545, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51476, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 67480, 51476, 52284, 51651, 52911, 51476, 52116, 51231, 51520, 63433, 51651, 52163, 51476, 52937, 51231, 50803, 61323, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 67480, 51476, 52284, 51651, 52911, 51476, 52116, 51231, 51520, 63433, 51651, 52163, 51476, 52937, 51231, 50803, 61323, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 67480, 51476, 52284, 51651, 52911, 51476, 52116, 51231, 51520, 63433, 51651, 52163, 51476, 52937, 51231, 50803, 61323, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 72575, 60132, 51476, 52284, 51651, 51520, 72575, 59414, 51476, 52116, 51231, 51520, 72575, 61157, 51651, 61828, 51553, 55152, 58565, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51520, 55506, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51520, 52764, 53532, 53582, 50802, 52160, 51599, 52764, 52643, 50798, 58565, 53371, 50803, 51409, 50803, 51038, 50799, 53371, 50802, 51409, 52410, 53371, 50802, 51409, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50803, 51409, 50803, 52591, 51026, 52038, 51026, 53694, 53912, 51026, 50824, 51382, 50824, 54955, 56778, 55383, 52410, 51026, 54433, 61308, 51973, 55383, 80019, 51812, 63455, 61308, 52030, 51026, 54241, 55383, 52057, 61308, 66371, 52313, 61308, 66371, 52175, 55383, 80019, 51779, 57325, 61308, 66371, 72430, 55383, 50803, 52177, 55383, 54433, 61308, 51973, 55383, 51779, 63455, 61308, 54241, 55383, 52057, 61308, 52313, 61308, 52175, 55383, 51779, 57325, 61308, 52325, 51026, 52937, 55383, 80019, 50993, 52177, 55383, 52410, 51026, 54433, 61308, 51973, 55383, 80019, 51812, 63455, 61308, 52030, 51026, 54241, 55383, 52057, 61308, 66371, 52313, 61308, 66371, 65027, 55383, 51779, 57325, 61308, 54934, 55383, 50803, 54955, 58297, 55383, 54433, 61308, 51973, 55383, 51779, 63455, 61308, 54241, 55383, 52057, 61308, 52313, 61308, 52175, 55383, 51779, 57325, 61308, 54934, 55383, 50803, 50799, 51678, 51009, 52252, 67330, 51234, 59101, 51234, 51812, 55112, 51234, 52125, 51234, 51029, 51716, 51009, 51382, 54098, 51234, 50802, 55881, 50803, 53034, 67330, 51197, 54433, 51197, 50993, 51302, 55112, 51197, 52125, 51197, 50802, 52009, 57310, 51197, 52911, 51197, 73116, 57325, 51026, 50993, 54955, 50802, 51678, 51009, 52252, 51009, 56978, 52038, 51026, 51812, 55112, 51026, 52125, 51026, 50802, 51716, 57310, 51026, 52175, 51026, 53694, 50824, 54955, 50802, 53034, 51009, 56978, 52038, 51026, 51812, 55112, 51026, 52125 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 1893, 43639, 6, 21072, 6, 21979, 9590, 6, 21979, 8669, 6, 8, 1076, 560, 31365, 25999, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 1372, 8, 19448, 6711, 6, 1969, 13, 5, 1619, 191, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 16, 17407, 30, 10, 33215, 16739, 9, 272, 6, 1918, 6, 8, 274, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50852, 52329, 50852, 52444, 50852, 52555, 74502, 50799, 59241, 51171, 53024, 51273, 54805, 59505, 52628, 50960, 57172, 52732, 57559, 50843, 54317, 50843, 54854, 50960, 57172, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 50960, 51428, 59505, 52847, 52555, 50970, 52732, 50836, 54710, 53875, 50960, 52732, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 52732, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 50986, 51428, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 54805, 59505, 52628, 50960, 57172, 52732, 57559, 50843, 54317, 50843, 54854, 50960, 57172, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 50960, 51428, 59505, 52847, 52555, 50970, 52732, 50855, 54710, 54583, 50960, 52732, 50855, 55975, 50855, 50799, 56422, 51461, 54805, 54878, 50986, 54180, 52732, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 50986, 51428, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51171, 53024, 51273, 54805, 59505, 52628, 50960, 54314, 51831, 55992, 57559, 50843, 54317, 51831, 55992, 54854, 50960, 54314, 51831, 56902, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 59241, 51831, 54070, 59505, 52847, 52555, 59205, 51831, 55992, 50836, 54710, 53875, 59241, 52376, 69552, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 52376, 55992, 57559, 50843, 54317, 52376, 55992, 54854, 50986, 54180, 50795, 51831, 52221, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 56422, 52376, 52221, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 54805, 59505, 52628, 50960, 54314, 51831, 50865, 51289, 52847, 57559, 50843, 54317, 51831, 55992, 54854, 50960, 54314, 51831, 56902, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 59241, 51831, 54070, 59505, 52847, 52555, 59205, 51831, 55992, 50855, 54710, 54583, 59241, 51831, 55992, 50855, 55975, 50855, 50799, 56422, 51461, 50918, 52376, 54070, 54878, 50986, 54180, 50795, 52376, 51048, 50903, 52847, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 50795, 52376, 55157, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 50986, 51428, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51171, 53024, 51273, 50918, 51667, 54070, 59505, 52628, 50960, 54314, 51667, 55992, 57559, 50843, 54317, 51667, 55992, 54854, 50960, 54314, 51667, 56902, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 59241, 51667, 56902, 59505, 52847, 52555, 50970, 52732, 50836, 54710, 53875, 59241, 51652, 69552, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 51652, 69552, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 50795, 51667, 51730, 59505, 52847, 53307, 51667, 51724, 50998, 53677, 50918, 51461, 50800, 51667, 51626, 52634, 52510, 56422, 51652, 52221, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 51831, 63185, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 54805, 59505, 52628, 50960, 57172, 52732, 57559, 50843, 54317, 50843, 54854, 50960, 57172, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51140, 51907, 52634, 52510, 50960, 51428, 59505, 52847, 52555, 50970, 52732, 50855, 54710, 54583, 50960, 52732, 50855, 55975, 50855, 50799, 56422, 51461, 54805, 54878, 50885, 57429, 52444, 50868, 52728, 50885, 51370, 52847, 54139, 51326, 52485, 50946, 51370, 52847, 53793, 51326, 50809, 50799, 59241, 51171, 53024, 51273, 50918, 77349, 51428, 59505, 52628, 50960, 54314, 51831, 50865, 57619, 52732, 57559, 50843, 54317, 51831, 50865, 54699, 52732, 54854, 50960, 54314, 51831, 51048, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 51831, 50865, 54560, 51428, 59505, 52847, 52555, 59205, 51831, 50865, 54699, 52732, 50836, 54710, 53875, 59241, 52376, 51048, 54783, 52732, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 52376, 50865, 57619, 52732, 57559, 50843, 54317, 52376, 50865, 54699, 52732, 54854, 50986, 54180, 50795, 51831, 51048, 54560, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 50800, 54978, 51626, 52634, 52510, 56422, 52376, 50983, 54560, 51428, 59505, 53401, 50843, 52716, 52555, 61337, 54699, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 54783, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 50918, 77349, 51428, 59505, 52628, 50960, 54314, 51831, 50865, 57619, 60020, 52847, 57559, 50843, 54317, 51831, 50865, 54699, 52732, 54854, 50960, 54314, 51831, 51048, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 51831, 50865, 54560, 51428, 59505, 52847, 52555, 59205, 51831, 50865, 54699, 52732, 50855, 54710, 54583, 59241, 52376, 51048, 54783, 52732, 50855, 55975, 50855, 50799, 56422, 51461, 54805, 54878, 50986, 54180, 50795, 52376, 50865, 57619, 57429, 52847, 57559, 50843, 54317, 52376, 50865, 54699, 52732, 54854, 50986, 54180, 50795, 52376, 50807, 54560, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 50800, 54978, 51626, 52634, 52510, 56422, 54560, 51428, 59505, 52555, 61337, 54699, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 54783, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51171, 53024, 51273, 50918, 51667, 50865, 77349, 51428, 59505, 52628, 50960, 54314, 51667, 50865, 57619, 52732, 57559, 50843, 54317, 51667, 50865, 54699, 52732, 54854, 50960, 54314, 51667, 51048, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 51667, 50807, 54560, 51428, 59505, 52847, 52555, 59205, 54699, 52732, 50836, 54710, 53875, 59241, 51652, 51048, 54783, 52732, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 51652, 50865, 57619, 52732, 57559, 50843, 54317, 51652, 50865, 54699, 52732, 54854, 50986, 54180, 50795, 51667, 50807, 54560, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 50800, 54978, 51626, 52634, 52510, 56422, 51652, 50807, 54560, 51428, 59505, 52555, 61337, 54699, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 51831, 51358, 54783, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 50918, 77349, 51428, 59505, 52628, 50960, 54314, 57619, 60020, 52847, 57559, 50843, 54317, 54699, 52732, 54854, 50960, 54314, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 54560, 51428, 59505, 52847, 52555, 59205, 54699, 52732, 50855, 54710, 54583, 59241, 54783, 55992, 50855, 55975, 50855, 61080, 53677, 51466, 51461, 50918, 54783, 52221, 50855, 52399, 52444, 51461, 51757, 71048, 51326, 50364, 52526, 51851, 50452, 51206, 51297, 50453, 51326, 50370, 52526, 67010, 51206, 55735, 51326, 76300, 62309, 51206 ]
[ 0, 250, 8787, 15855, 15229, 11, 274, 538, 6, 42, 2125, 7630, 6568, 5, 2821, 16235, 9, 41, 9066, 822, 19834, 4, 590, 10, 6755, 12547, 23, 5, 14295, 6, 24, 30853, 23, 10, 20902, 12701, 4450, 20889, 11, 10, 155, 73, 306, 86, 6543, 4, 20, 46336, 5252, 16, 10122, 30, 5, 40286, 163, 428, 6, 230, 406, 73, 717, 6, 163, 428, 6, 274, 6, 8, 211, 119, 6, 1271, 5581, 7, 5, 5386, 8, 814, 12, 21330, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 76174, 51638, 51637, 51165, 51637, 50432, 51299, 50851, 51093, 55270, 51638, 50851, 51165, 53269, 51883, 50904, 51113, 55368, 51638, 50904, 51165, 50904, 51034, 51887, 51576, 51154, 51576, 51034, 51638, 51637, 51165, 51637, 50432, 51299, 50851, 51093, 55270, 51638, 50851, 51165, 53269, 51883, 50904, 51113, 55368, 51638, 50904, 51165, 50904, 51034, 51699, 51576, 51088, 51576, 51034, 51394, 52519, 51699, 52916, 51088, 52916, 51395, 52916, 50432, 51304, 56149, 51394, 52691, 51284, 54305, 51394, 50862, 51034, 51395, 51103, 51304, 51103, 51883, 51486, 51154, 51486, 50438, 51093, 51484, 51395, 51484, 51034, 51638, 51466, 51154, 51466, 51165, 51703, 51107, 51703, 50426, 51699, 51466, 51088, 66916, 51395, 52460, 51182, 52460, 52481, 52048, 51299, 52048, 50447, 51093, 50984, 51395, 50984, 51034, 51154, 51166, 51165, 51703, 51107, 51703, 51887, 52916, 50420, 51301, 58309, 51154, 57123, 51301, 58087, 51154, 52048, 51113, 52048, 51093, 52048, 51034, 51638, 51343, 51165, 51343, 50432, 51299, 50858, 51093, 55632, 51638, 50858, 51165, 54362, 51883, 50890, 51113, 54815, 51638, 77923, 50890, 51034, 51887, 51227, 51154, 51227, 51034, 51638, 51343, 51165, 51343, 50432, 51299, 50858, 51093, 55632, 51638, 50858, 51165, 54362, 51883, 50890, 51113, 54815, 51638, 77923, 50890, 51034, 51699, 51227, 51088, 51227, 51034, 51394, 52519, 50432, 51304, 59037, 51394, 56006, 51284, 57522, 51394, 51000, 51034, 51491, 51703, 51395, 51703, 51284, 51703, 51384, 51703, 50438, 51491, 51162, 51395, 51162, 51284, 51162, 51304, 51162, 51034, 51304, 52519, 50432, 51384, 59037, 51304, 56006, 51558, 57522, 51304, 51000, 51034, 51357, 51703, 51201, 51703, 51629, 51703, 51811, 51703, 50438, 51357, 51162, 51201, 51162, 51629, 51162, 51384, 51162, 51034, 51384, 52519, 50432, 51811, 59037, 51384, 56006, 51304, 57522, 51384, 51000, 51034, 51426, 52441, 51357, 52519, 51629, 52519, 51690, 52519, 50432, 51426, 51079, 51093, 51079, 51182, 51079, 51811, 58151, 51426, 50972, 51107, 50972, 51201, 50972, 51384, 57997, 51426, 50838, 51395, 50838, 51304, 50838, 51034, 51107, 51477, 51394, 51477, 51154, 51244, 51201, 51244, 50432, 51395, 50813, 51304, 56585, 51107, 50813, 51394, 54350, 51093, 50813, 51284, 58572, 51107, 50813, 51394, 52781, 51201, 50845, 51384, 50845, 51887, 51400, 51113, 51400, 50444, 51395, 50873, 51304, 50873, 51034, 51638, 52048, 51165, 52048, 51107, 52048, 51394, 52048, 51034, 51154, 52519, 50432, 51088, 59037, 51154, 56006, 51301, 57522, 51154, 51000, 51034, 51394, 51283, 51375, 51080, 51301, 51592, 51488, 51592, 50432, 51304, 59037, 51394, 56006, 51284, 51000, 51088, 52048, 50444, 51394, 51000, 51034, 51088, 52519, 50432, 51375, 59037, 51088, 56006, 51491, 57522, 51088, 51000, 51034, 51304, 51283, 51165, 51080, 53148, 51592, 51426, 51592, 50432, 51384, 59037, 51304, 56006, 51558, 51000, 51113, 52048, 50444, 51304, 51000, 51034, 51093, 52519, 50432, 51107, 59037, 51093, 56006, 51357, 57522, 51093, 51000, 51034, 51690, 51283, 51638, 51627, 51375, 51627, 51395, 74521, 51926, 59037, 51690, 56006, 51733, 51000, 52481, 52048, 51375, 52048, 51107, 52048, 50444, 51690, 51000, 51034, 51926, 51283, 51426, 51627, 51357, 51080, 51201, 74521, 52838, 59037, 51926, 56006, 52405, 51000, 51093, 50984, 51395, 50984, 52481, 52048, 50444, 51926, 51166, 51034, 51887, 50812, 79003, 52487, 50812, 51107, 55099, 51093, 53466, 51887, 50812, 79003, 52487, 50812, 51107, 53308, 51093, 53470, 51887, 50812, 79003, 52487, 50812, 51107, 53969, 71545, 51034, 51251, 50849, 77951, 52602, 51162, 53089, 68463, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51251, 51166, 51154, 51166, 51165, 58087, 51251, 51166, 51154, 51166, 51165, 62523, 51251, 51166, 51154, 51166, 51165, 51166, 51034, 51251, 51166, 51154, 51166, 51165, 51166, 51887, 52519, 50420, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51699, 50984, 51251, 51166, 51154, 51166, 51165, 51166, 51107, 72324, 51887, 56006, 52830, 51000, 51395, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 50440, 51107, 74965, 51395, 57522, 51887, 51000, 51107, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 50446, 51093, 76606, 51107, 51000, 51034, 51299, 51166, 51154, 51166, 51113, 51166, 52907, 52048, 51201, 52519, 50420, 51299, 51166, 51154, 51166, 51113, 58309, 51299, 51166, 51154, 51166, 51113, 57123, 51299, 51166, 51154, 51166, 51113, 51166, 51395, 58087, 51093, 51000, 51299, 51166, 51154, 51166, 51113, 62523, 51165, 51000, 51299, 51166, 51154, 51166, 51113, 51166, 51034, 51299, 51166, 51154, 51166, 51113, 51576, 51887, 52519, 50420, 51299, 51166, 51154, 51166, 51113, 58309, 51299, 51166, 51154, 51166, 51113, 57123, 51699, 50984, 51299, 51166, 51154, 51166, 51113, 51166, 51395, 72324, 51887, 56006, 52830, 51000, 51201, 51000, 51299, 51166, 51154, 51166, 51113, 51166, 50440, 51395, 74965, 51201, 57522, 51887, 51000, 51395, 51000, 51299, 51166, 51154, 51166, 51113, 51166, 50446, 51107, 76606, 51395, 51000, 51034, 51251, 51166, 51154, 51166, 51165, 51166, 52907, 52048, 51182, 52519, 50420, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51251, 51166, 51154, 51166, 51165, 51166, 51201, 58087, 51107, 51000, 51251, 51166, 51154, 51166, 51165, 62523, 51093, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 51034, 51251, 51166, 51154, 51166, 51165, 51576, 51887, 52519, 50420, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51699, 50984, 51251, 51166, 51154, 51166, 51165, 51166, 51394, 72324, 51887, 56006, 52830, 51000, 51304, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 50440, 51394, 74965, 51304, 57522, 51394, 51000, 51887, 51166, 51251, 51166, 51154, 51166, 51165, 51166, 50446, 51284, 76606, 51394, 51000, 51034, 51426, 51166, 51113, 51166, 51093, 51166, 52907, 52048, 51384, 52519, 50420, 51426, 51166, 51113, 51166, 51093, 58309, 51426, 51166, 51113, 51166, 51093, 57123, 51426, 51166, 51113, 51166, 51093, 51166, 51304, 58087, 51304, 51000, 51426, 51166, 51113, 51166, 51093, 62523, 51394, 51000, 51426, 51166, 51113, 51166, 51093, 51166, 51034, 51426, 51166, 51113, 51166, 51093, 51166, 51394, 51166, 51887, 52519, 50420, 51426, 51166, 51113, 51166, 51093, 51166, 51284, 58309, 51284, 51000, 51426, 51166, 51113, 51166, 51093, 57123, 51182, 51000, 51699, 50984, 51426, 51166, 51113, 51166, 51093, 72324, 51887, 56006, 52830, 51000, 51201, 51000, 51426, 51166, 51113, 51166, 51093, 62523, 51887, 51000, 51395, 51000, 51426, 51166, 51113, 51166, 51093, 51166, 51034, 53148, 50984, 51251, 51166, 51113, 51166, 51093, 51166, 51107, 54171, 50420, 51251, 51166, 51113, 51166, 51093, 58309, 52371, 50984, 51251, 51166, 51491, 51166, 51093, 57123, 51251, 51166, 51491, 51166, 51093, 58087, 53148, 50984, 51251, 51166, 51113, 51166, 51093, 62523, 51251, 51166, 51113, 51166, 51093, 51166, 51034, 51251, 51166, 51088, 51166, 51165, 51166, 51699, 52048, 50420, 51266, 50984, 51251, 51166, 51088, 51166, 51165, 74525, 51600, 55070, 51182, 50984, 51251, 51166, 51088, 51166, 51165, 51166, 50429, 51284, 55238, 51394, 50984, 51251, 51166, 51088, 51166, 51165, 72324, 51284, 56006, 51182, 50984, 51251, 51166, 51088, 51166, 51165, 51166, 50441, 51201, 57043 ]
[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 670, 1472, 9, 822, 8, 9066, 4149, 6, 4246, 10, 326, 5638, 18026, 6, 6755, 12547, 6, 2342, 4467, 6, 17691, 28430, 6, 8, 9590, 3863, 6, 70, 447, 561, 7, 1045, 10, 13363, 28191, 25306, 676, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 21437, 10, 33215, 16739, 9, 3676, 6, 1918, 6, 8, 211, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50438, 50621, 56103, 51165, 50829, 51394, 50830, 51863, 50834, 60856, 50820, 58916, 57666, 56496, 52071, 54108, 51313, 58811, 51671, 50420, 51165, 50820, 51201, 50828, 51863, 52639, 51165, 50839, 51165, 50828, 51863, 53063, 51165, 50839, 51201, 50828, 51863, 53116, 51165, 50839, 51394, 50830, 51863, 52875, 51165, 50825, 51201, 50825, 51201, 50828, 51863, 53068, 51165, 50839, 51165, 50828, 51863, 50820, 53453, 57431, 51165, 50841, 51201, 50828, 51863, 50820, 53453, 50897, 66140, 50829, 51394, 50830, 51863, 50820, 53809, 51006, 60856, 50839, 58916, 50834, 55705, 67381, 56496, 52071, 54108, 51313, 58811, 51671, 50420, 51165, 50820, 51201, 50828, 51863, 50834, 53297, 50813, 54668, 55155, 52367, 50862, 53060, 52710, 51165, 50839, 51165, 50828, 51863, 50820, 52171, 51151, 50427, 53157, 51307, 50432, 51165, 50839, 51201, 50828, 51863, 52600, 51165, 50839, 51394, 50830, 51863, 52616, 51165, 50825, 51201, 50825, 51201, 50828, 51863, 53057, 51165, 50839, 51165, 50828, 51863, 52579, 51165, 50841, 51201, 50828, 51863, 50839, 66140, 50829, 51394, 50830, 51863, 50820, 60856, 50839, 58811, 51243, 54108, 51445, 50415, 56496, 52071, 50420, 51165, 50820, 51201, 50828, 51863, 52992, 51165, 50839, 51165, 50828, 51863, 57334, 53453, 56504, 51165, 50839, 51201, 50828, 51863, 50834, 53453, 56057, 51165, 50839, 51394, 50830, 51863, 50820, 53809, 50977, 50439, 55705, 59187, 51165, 50825, 51201, 50825, 51201, 50828, 51863, 50834, 53297, 64684, 54668, 55932, 52367, 60168, 53060, 52848, 51165, 50839, 51165, 50828, 51863, 50834, 52171, 51422, 50451, 53157, 51486, 50456, 51165, 50841, 51201, 50828, 51863, 50834, 66140, 50829, 51165, 50839, 51394, 50830, 51863, 50820, 60856, 50820, 58916, 57666, 56496, 51145, 54108, 51878, 58811, 51878, 50420, 51165, 50820, 51165, 50841, 51201, 50828, 51863, 52928, 51165, 50839, 51165, 50841, 51165, 50828, 51863, 52925, 51165, 50839, 51201, 50828, 51165, 50840, 51863, 53116, 50626, 51093, 50867, 55244, 51527, 51711, 50867, 51752, 50862, 52795, 50862, 54246, 51148, 52278, 51244, 51326, 51004, 53453, 51047, 54670, 51047, 54277, 51047, 51946, 51047, 54864, 51009, 52384, 51009, 51866, 51009, 50439, 52143, 51336, 50440, 51107, 50857, 51838, 50857, 51596, 50862, 52494, 50378, 53183, 60895, 51326, 61118, 51266, 50813, 52225, 50813, 51789, 50855, 52882, 65891, 51326, 53594, 51201, 50855, 52036, 50855, 51606, 50813, 52307, 76825, 57785, 51182, 50836, 52137, 50836, 51565, 50867, 52203, 50375, 53183, 54368, 51326, 58321, 51284, 50840, 52430, 50840, 51686, 50855, 52614, 61230, 51326, 53035, 50628, 51182, 50809, 52137, 50809, 51565, 50840, 52203, 75072, 59671, 51284, 50890, 52430, 50890, 51686, 50813, 52614, 76825, 56246, 51326, 61807, 51394, 50880, 52735, 50880, 51827, 50862, 52849, 64405, 51326, 54210, 51304, 50930, 52626, 50930, 51673, 50836, 52900, 50380, 53183, 56995, 51384, 50962, 52886, 50962, 51886, 50813, 53767, 76825, 53736, 51326, 60488, 51733, 50811, 53828, 50930, 52433, 50857, 56940, 59854, 51326, 51031, 57211, 51690, 69379, 51151, 79953, 51887, 52024, 52907, 53501, 53718, 50806, 52430, 51003, 52171, 50905, 53767, 50892, 51900, 51307, 51553, 50817, 53157, 51036, 52196, 51353, 51836, 51307, 59221, 52379, 51947, 51036, 51702, 56100, 51733, 50803, 53828, 50800, 52433, 50854, 52900, 55095, 50579, 70394, 51553, 58980, 51384, 50803, 52886, 50808, 51886, 50844, 52849, 54592, 50579, 62518, 51553, 53516, 51304, 51407, 52430, 51591, 52626, 51896, 51673, 52015, 52614, 52168, 51553, 60568, 51553, 54660, 51553, 59185, 51553, 52667, 51553, 56565, 51553, 54606, 51553, 57352, 51553, 52766, 51553, 50829, 53118, 76428, 51553, 50829, 52890, 57917, 51553, 58900, 52566, 65891, 51553, 53027, 51553, 50837, 52697, 62813, 51553, 50837, 53000, 55761, 51553, 62749, 53436, 59248, 51553, 52763, 51553, 50837, 53647, 66056, 51553, 50870, 54723, 57168, 51553, 60202, 55372, 75429, 51553, 53553, 51201, 50806, 52036, 50845, 51686, 50974, 52307, 50905, 51553, 50870, 59202, 51126, 50458, 51553, 50870, 59886, 61736, 51553, 61824, 72466, 61561, 51553, 50870, 50799, 51384, 50806, 51165, 50915, 51107, 50915, 52735, 50849, 51886, 51330, 52849, 50932, 51900, 51003, 51553, 50870, 53157, 51161, 52032, 50943, 52601, 50943, 59221, 50914, 52058, 50914, 51702, 50914, 59202, 50971, 50416, 51553, 50870, 55372, 59240, 51553, 61543, 54723, 60400, 51553, 53070, 51304, 50821, 52430, 52476, 50579, 50837, 53647, 60171, 51553, 50837, 53436, 56133, 72552, 52137, 72343, 58830, 53000, 64942, 51553, 52762, 51284, 51356, 51113, 51422, 51093, 51422, 52036, 51103, 51673, 51145, 52614, 51145, 51784, 51145, 51553, 50829, 53157, 51161, 52196, 51422, 51836, 51422, 59221, 51352, 51947, 51486, 51702, 51941, 52697, 66765, 51553, 50829, 52566, 61660, 51553, 57531, 52890, 64463, 51553, 52767, 51553, 50837, 53118, 75116, 51553, 54034, 51553, 57413, 51553, 52763, 67837, 52137, 50914, 50460, 52602, 51264, 73296, 51160, 57805, 52208, 51638, 51353, 51251, 51445, 52225, 51238, 56108, 51036, 52339, 51151, 52058, 51359, 50423, 51201, 50808, 52036, 52450, 51201, 51356, 52036, 51356, 51606, 51227, 51802, 51162, 52665, 51460, 50438, 51606, 50980, 51802, 51162, 51996, 51460, 50450, 65431, 51838, 50795, 51596, 50936, 51900, 50917, 52196, 66911, 51201, 50893, 52036, 50893, 51606, 50879, 51802, 72914, 52143, 51264, 57211, 51304, 51538, 55244, 52208, 51299, 51293, 51088, 51353, 52626, 51538, 51326, 50829, 51836, 51469, 54864, 51527, 51947, 50915, 51702, 69355, 51673, 51090, 52857, 50914, 50416, 51326, 56166, 51326, 61132, 51326, 53203, 51326, 56818, 51326, 53744, 51326, 57074, 51326, 52905, 51886, 51090, 52494, 51003, 51950, 50995, 52515, 51003, 51326, 50828, 52915, 51157, 51947, 50889, 51702, 50889, 50428, 51326, 54694, 51326, 59476, 51326, 52209, 51326, 60063, 51326, 56356, 51326, 60281, 51326, 55622, 51673, 50896, 52494, 51003, 51950, 51003, 52515, 51003, 51326, 50949, 52915, 51157, 54864, 51016, 51947, 50889, 51702, 50889, 50440, 51326, 59120, 51326, 78684, 51326, 52267, 51326, 56877, 51326, 55551, 51326, 61925, 51326, 53595, 51201, 50849, 52036, 50805, 51827, 50896, 52795, 50943, 51802, 50915, 51326, 50895, 52915, 51048, 54864, 50807, 51947, 50889, 51702, 50807, 50452, 51326, 56246, 51326, 66222, 51326, 54210, 51201, 50849, 52036, 78431, 56995, 51326, 53736, 51326, 56912, 51887, 51492, 51326, 50817, 50799, 51690, 50805, 51113, 51353, 51093, 51353, 52907, 53601, 53718, 50795, 52430, 50914, 51673, 51469, 52494, 51313, 51950, 51353, 52515, 51353, 51553, 50817, 53157, 51307, 51836, 51696, 59221, 52379, 51947, 51184, 51702, 51184, 50416, 51553, 58486, 51553, 61732, 51553, 53223, 51733, 50808, 53828, 52476, 50579, 61710, 51553, 54446, 51384, 50808, 52886, 52476, 50579, 60341, 51553, 52905, 51304, 51623, 52430, 51623, 52626, 51623, 51553, 50846, 52196, 50807, 50428, 51553, 54013, 51553, 60426, 51553, 52818, 51553, 56565, 51553, 54002, 51553, 57320, 51553, 52621, 51553, 50825, 51996, 50807, 53118, 76428, 51553, 50829, 52890, 57917, 51553, 59954, 52566, 65891, 51553, 53041, 51553, 50829, 52697, 62813, 51553, 50839, 53000, 55761, 51553, 58321, 53436, 59248, 51553, 53057, 51553, 50835, 52338, 51013, 53647, 66056, 51553, 50835, 54723, 57168, 51553, 59699, 55372, 75429, 51553, 52579, 51201, 50805, 52036, 50805, 51553 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 14123, 6, 4246, 10, 930, 2233, 6, 21072, 6, 8, 3459, 9590, 6, 42, 765, 2214, 7630, 6568, 10, 12298, 1619, 4780, 4, 8504, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 230, 10431, 6, 8, 274, 10431, 401, 3639, 7, 63, 17627, 17274, 2365, 3618, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 56936, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 77880, 53277, 50588, 53415, 61186, 50924, 61684, 50924, 50453, 68474, 50859, 63687, 54418, 61186, 50924, 61684, 50924, 51213, 51454, 52591, 57963, 57943, 68474, 50924, 63687, 58818, 61186, 50924, 61684, 67636, 61006, 50879, 69255, 55416, 61186, 50865, 57963, 50924, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 50432, 68474, 50924, 63687, 50924, 51228, 51454, 50456, 74414, 50830, 61186, 50924, 51205, 51354, 52591, 63687, 50795, 57963, 50879, 51213, 51427, 50432, 63687, 50859, 57963, 54773, 61684, 50887, 61006, 52510, 61006, 50808, 61684, 68168, 63687, 50890, 57963, 65243, 61186, 50800, 61684, 50858, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 52346, 50615, 59682, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 52346, 50615, 59682, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 52346, 50615, 59682, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869 ]
[ 0, 250, 8787, 3495, 15229, 11, 230, 10431, 3694, 6, 42, 2125, 30853, 23, 10, 2635, 20889, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 657, 149, 63, 15352, 30054, 2301, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 17407, 30, 10, 33215, 13931, 9, 230, 10431, 119, 6, 2060, 6, 230, 10431, 119, 6, 274, 10431, 119, 6, 8, 381, 73, 387, 6, 1271, 3722, 5581, 7, 63, 5679, 26709, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 72191, 51040, 54590, 50286, 52988, 51378, 52988, 50418, 50989, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 50438, 51040, 51862, 50442, 50989, 52179, 78933, 52179, 50450, 51040, 51862, 50454, 50989, 52179, 50458, 50877, 52179, 57346, 51862, 51841, 52988, 51315, 52988, 50418, 50989, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 50438, 51040, 51862, 50442, 50989, 52179, 78933, 52179, 50450, 51040, 51862, 50454, 50989, 52179, 50458, 50877, 52179, 54206, 51862, 51799, 52440, 51120, 52440, 50418, 50989, 52179, 50422, 50877, 52179, 53337, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 55898, 54590, 50279, 52440, 51324, 52440, 50442, 50861, 52179, 50446, 50973, 52179, 56279, 51862, 75312, 52179, 50458, 50973, 52179, 57346, 54590, 50281, 52440, 51360, 52440, 50418, 50871, 52179, 50422, 50973, 52179, 61104, 51862, 50430, 50989, 53726, 50434, 50877, 52179, 50438, 51040, 51862, 52759, 52440, 51360, 52440, 50442, 50989, 53726, 50446, 50965, 52179, 50450, 51086, 52025, 50454, 50871, 52179, 50458, 50965, 52179, 56310, 51862, 51027, 54590, 50286, 52988, 51360, 52988, 51378, 52988, 50418, 51040, 52179, 50422, 50989, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 50438, 51040, 51862, 50442, 50989, 52179, 78933, 52179, 50450, 51040, 51862, 51028, 51852, 50454, 50989, 52179, 50458, 50877, 52179, 50459, 51028, 50912, 57346, 51862, 51028, 52528, 51247, 52988, 51360, 52988, 51050, 52988, 50418, 50965, 52179, 50422, 50973, 52179, 61104, 51862, 50430, 50965, 52179, 50434, 50973, 52179, 50438, 51040, 51862, 50442, 50965, 52179, 50446, 50973, 52179, 50450, 51040, 51862, 51028, 51852, 50454, 50965, 52179, 50458, 50973, 52179, 50459, 51028, 50912, 57346, 51862, 51966, 52440, 51378, 52440, 51028, 51490, 50418, 50989, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 55898, 51862, 54637, 52440, 51324, 52440, 50902, 51490, 50442, 50989, 52179, 50446, 50973, 52179, 56279, 51862, 50454, 50989, 52179, 50458, 50973, 52179, 57346, 51862, 51841, 52440, 51315, 52440, 51028, 51490, 50418, 50916, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50916, 52179, 50434, 50877, 52179, 55898, 51862, 50973, 52845, 50284, 52440, 51315, 52440, 50442, 50916, 52179, 50446, 50965, 51862, 56279, 51524, 50968, 51330, 50454, 50916, 51862, 50458, 50965, 51862, 57346, 51365, 50877, 52026, 50289, 52988, 51027, 52988, 50418, 77925, 50422, 70742, 61104, 51524, 50430, 50916, 51862, 50434, 50877, 75594, 51040, 51524, 50442, 50916, 51862, 78933, 51862, 50450, 51040, 51524, 50454, 50916, 52179, 50458, 50877, 52179, 53975, 51862, 51279, 52988, 51027, 52988, 50418, 50916, 52179, 50422, 50877, 52179, 53523, 51862, 50430, 50916, 52179, 50434, 50877, 52179, 55203, 51862, 50442, 50916, 52179, 78933, 52179, 55895, 51862, 50876, 51852, 50454, 50916, 52179, 50458, 50877, 52179, 50459, 67030, 53975, 51862, 50876, 52528, 51214, 52988, 51026, 52988, 50418, 50916, 52179, 50422, 50906, 52179, 53523, 51862, 50430, 50916, 52179, 50434, 50906, 52179, 55203, 51862, 50442, 50916, 52179, 76495, 52179, 55895, 51862, 50876, 51852, 50454, 50916, 52179, 50458, 50906, 52179, 50459, 67030, 53975, 51862, 51247, 55036, 50297, 55036, 50316, 52528, 50418, 50871, 52179, 50422, 50877, 52179, 53523, 51862, 51841, 55036, 50296, 52397, 50430, 50916, 52179, 50434, 50877, 52179, 55203, 51862, 52046, 52440, 51197, 52440, 50442, 50989, 52179, 78933, 52179, 50450, 51086, 51862, 50973, 51333, 50454, 50989, 52179, 50458, 50877, 52179, 57542, 51862, 51841, 52440, 51315, 52440, 50973, 51490, 50418, 50916, 52179, 64309, 52179, 62795, 51862, 50430, 50916, 52179, 73866, 52179, 55203, 51862, 51279, 55036, 50316, 51333, 50442, 50916, 52179, 50446, 50989, 52179, 76400, 51862, 51085, 55036, 50313, 51333, 50454, 50916, 52179, 50458, 50989, 52179, 57542, 51862, 51324, 52440, 50973, 51490, 50418, 50916, 52179, 64309, 52179, 62795, 51862, 50430, 50916, 52179, 73866, 52179, 50438, 51086, 51862, 54637, 52440, 51324, 52440, 50973, 51490, 50442, 50956, 52179, 50446, 50989, 52179, 50450, 51086, 51862, 50454, 50956, 52179, 50458, 50989, 52179, 55524, 51210, 50916, 54590, 50284, 65527, 51315, 65527, 50418, 50861, 52179, 50422, 50973, 52179, 56248, 51862, 79580, 52179, 50434, 50973, 52179, 59419, 51862, 50442, 50965, 52179, 50446, 50973, 52179, 59758, 51862, 50968, 51333, 50454, 50965, 52179, 50458, 50973, 52179, 55524, 51862, 50931, 52528, 50418, 50877, 51862, 68225, 51862, 56248, 51524, 51279, 55036, 50301, 52397, 50430, 70742, 65281, 51524, 59419, 51365, 51085, 55036, 50304, 52397, 50442, 70742, 73227, 51524, 59758, 51524, 51279, 55036, 50301, 55036, 50319, 51330, 50454, 50877, 51862, 50458, 50876, 52179, 55524, 51862, 50968, 52528, 51841, 65527, 51315, 65527, 50418, 50965, 52179, 50422, 50973, 52179, 56248, 51862, 50430, 50965, 52179, 50434, 50973, 52179, 59419, 51862, 50442, 50965, 52179, 50446, 50973, 52179, 59758, 51862, 50968, 51333, 50454, 50965, 52179, 50458, 50973, 52179, 55524, 51862, 50931, 52528, 50418, 50877, 51862, 68225, 51862, 56248, 51524, 51279, 55036, 50301, 52397, 50430, 70742, 65281, 51524, 59419, 51862, 51085, 55036, 50304, 52397, 50442, 70742, 73227, 51524, 59758, 51524, 51279, 55036, 50301, 55036, 50319, 51330, 50454, 50877, 51862, 50458, 50876, 52179, 55524, 51862, 51841, 52440, 51315, 52440, 50968, 51490, 50418, 50965, 52179, 50422, 50973, 52179, 56248, 51862, 50430, 50965, 52179, 50434, 50973, 52179, 59419, 51862, 52759, 52440, 51360, 52440, 50968, 51490, 50442, 50861, 52179, 76495, 52179, 59758, 51862, 75312, 52179, 50458, 50906, 52179, 55524, 51862, 53492, 52440, 51234, 52440, 50968, 51490, 50418, 50989, 52179, 50422, 51028, 52179, 56248, 51862, 50430, 50989, 52179, 50434, 51028, 52179, 55898, 51862, 54637, 52440, 51324, 52440, 50902, 51490, 50442, 50989, 52179, 50446, 50973, 52179, 56279, 51862, 50454, 50989, 52179, 50458, 50973, 52179, 53975, 51862, 51841, 52440, 51315, 52440, 50876, 51490, 50418, 50916, 52179, 64309, 52179, 53523, 51862, 50430, 50916, 52179, 73866, 52179, 50438, 51086, 51862, 51247, 52440, 51050, 52440, 50973, 51490, 50442, 50899, 52179, 50446, 50965, 52179, 50450, 51086, 51862, 50454, 50899, 52179, 50458, 50965, 52179, 59130, 51862, 50989, 51490, 51966, 52440, 50418, 51086, 52179, 63715, 52179, 50426, 51378, 51862, 50430, 51086, 52179, 50434, 50899, 52179, 50438, 51378, 51862, 50989, 51490, 51966, 52440, 50442, 51086, 52179, 50446, 51040, 52179, 50450, 51378, 51862, 50454, 50997, 52179, 50458, 51040, 52179, 57542, 52845, 50279, 52988, 51966, 52988, 51324, 52988, 50418, 50899, 52179, 50422, 50989, 52179, 53337, 51862, 50430, 50989, 52179, 50434, 50973, 52179, 50438, 50989, 51862, 50442, 50973, 52179, 50446, 50902, 52179, 50450, 50989, 51862, 51114, 51852, 50454, 50973, 52179, 50458, 50902, 52179, 50459, 51114, 50912, 57126, 51862, 51114, 52528, 51234, 52988, 51378, 52988, 50997, 52988, 50418, 51028, 52179, 50422, 50968, 52179, 71241, 51524, 50430, 51028, 51862, 50434, 50968, 75594, 78353, 50442, 51028, 51862, 79472, 51862, 50450, 78353, 51114, 51645, 50454, 51028, 51862, 50458, 50968, 51862, 50459, 51114, 50851, 57126, 51524, 51324, 52440, 51086, 52440, 51114, 51447, 50418, 50973 ]
[ 0, 250, 32625, 15855, 2125, 6, 533, 14756, 13, 10, 822, 19834, 6, 4246, 41, 21979, 8669, 25, 5, 6922, 10320, 4, 590, 10, 11956, 20889, 9, 1191, 13410, 228, 2289, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 20183, 4, 20, 2214, 16, 11, 5, 762, 9, 211, 538, 8, 22848, 10, 33215, 16739, 9, 211, 6, 272, 119, 1176, 406, 6, 83, 6, 211, 119, 1176, 406, 6, 8, 230, 10431, 119, 406, 428, 245, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50622, 54432, 50896, 50418, 50929, 62991, 50947, 55889, 51076, 50921, 58208, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 51574, 75085, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51311, 50921, 50929, 50921, 51067, 79729, 51563, 62991, 50947, 50921, 51786, 55889, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50960, 50921, 51076, 50921, 51034, 51032, 50921, 61446, 58308, 50418, 51067, 62991, 51078, 50921, 51292, 55889, 51067, 50921, 65400, 56767, 50430, 51032, 62887, 50960, 50921, 51076, 56360, 50947, 50921, 73829, 58308, 50442, 51076, 62888, 51311, 50921, 50929, 50921, 80056, 50921, 50986, 50823, 51078, 50921, 51444, 58297, 50621, 50418, 50929, 59723, 50621, 50422, 50947, 66693, 50621, 50426, 50621, 51131, 50921, 50960, 50921, 52028, 50896, 50430, 51078, 62887, 51078, 50921, 50947, 56360, 51032, 50921, 70712, 60511, 57360, 50442, 51076, 62888, 51078, 50921, 50947, 50921, 51034, 50622, 50929, 50921, 51076, 50921, 58208, 50418, 50929, 62991, 51078, 50921, 50947, 55889, 50929, 50921, 51076, 50921, 52028, 50896, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 73829, 58308, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51067, 50921, 65400, 56767, 50417, 50622, 50418, 51563, 59723, 50622, 50422, 50947, 50921, 51786, 66693, 50622, 50426, 50621, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50929, 50921, 51076, 50921, 51034, 50986, 50823, 50998, 50921, 51725, 50806, 50418, 51067, 62991, 51078, 50921, 51032, 55889, 51076, 50921, 53805, 50896, 56767, 50430, 50947, 62887, 50998, 50921, 50929, 56360, 51131, 50921, 50960, 50921, 70712, 50442, 50929, 62888, 50986, 50823, 51078, 50921, 51034, 51311, 50921, 50960, 50921, 50929, 50921, 54432, 73354, 51076, 62991, 50929, 50921, 51067, 55889, 51563, 50921, 63800, 50430, 51067, 62887, 51207, 50921, 50960, 50921, 51076, 56360, 50929, 50921, 70712, 65400, 50442, 51076, 62888, 53092, 50910, 50929, 50921, 51067, 50921, 51034, 50622, 54432, 73121, 50960, 51055, 65400, 50416, 51076, 50980, 50929, 51055, 50417, 51563, 56003, 52028, 53585, 51574, 50824, 58208, 56767, 64922, 50986, 51352, 51034, 52028, 50896, 61446, 57360, 62569, 50960, 60625, 51574, 50824, 50929, 53585, 70712, 65400, 56479, 60511, 62569, 51034, 51574, 50824, 58208, 73829, 56767, 51032, 53765, 52028, 50896, 61446, 50960, 53585, 58208, 56479, 56767, 63800, 51311, 51585, 51034, 50960, 50921, 51078, 50921, 50947, 50921, 70712, 51131, 73354, 50960, 62991, 50998, 55889, 50960, 50921, 51078, 50921, 51131, 50975, 51444, 65514, 50947, 62887, 51444, 50823, 51131, 50921, 50998, 50921, 50929, 56360, 50960, 50921, 51078, 50921, 50947, 50921, 70712, 50442, 51032, 62888, 51444, 50823, 50960, 50921, 50929, 50921, 51076, 50921, 51034, 51032, 50921, 59364, 50418, 50947, 62270, 51078, 55889, 50960, 68418, 51078, 62887, 51444, 50823, 50960, 50921, 50947, 56360, 51032, 50921, 70712, 61446, 50442, 51076, 62150, 51444, 50823, 50960, 50921, 50947, 50921, 51034, 58208, 51311, 69171, 59400, 50960, 50921, 50416, 70442, 50418, 50929, 62991, 50947, 55889, 51076, 50921, 52028, 50896, 56767, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51574, 50823, 51207, 50921, 50929, 50921, 51032, 50921, 50986, 50975, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51311, 50921, 50929, 50921, 51067, 50921, 50960, 51196, 50418, 51563, 62991, 50947, 50921, 51786, 55889, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 51078, 50921, 51076, 56360, 50998, 50921, 50929, 50921, 51574, 50824, 51311, 51196, 50442, 50947, 62888, 50929, 50921, 51076, 50921, 51034, 50998, 50921, 51725, 58718, 50622, 50418, 51067, 59723, 50622, 51311, 66685, 51032, 66693, 50622, 50986, 51973, 50621, 50960, 50921, 51078, 50921, 51076, 50921, 70712, 65400, 50430, 50947, 62887, 50998, 50921, 50929, 56360, 50986, 50823, 50960, 50921, 70712, 51131, 51585, 50442, 50929, 62888, 50986, 50823, 51078, 50921, 51034, 50622, 50929, 50921, 54432, 50824, 65400, 80161, 50418, 51076, 62991, 50947, 55889, 51076, 50921, 56767, 80161, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 51574, 50824, 56767, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51067, 50921, 62979, 55046, 50418, 51563, 62991, 50947, 50921, 51786, 55889, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50960, 50921, 51076, 50921, 51034, 50998, 50921, 51032, 50921, 61446, 50418, 51067, 62991, 51078, 50921, 51292, 55889, 51067, 50921, 65400, 56767, 50430, 51032, 62887, 50960, 50921, 51076, 56360, 50947, 50921, 73829, 58308, 50442, 51076, 62888, 51311, 50921, 50929, 50921, 51034, 51078, 50921, 70712, 61446, 50986, 73354, 50929, 62991, 50960, 50921, 50947, 55889, 50960, 50921, 52028, 50896, 61446, 50430, 51078, 62887, 50929, 50921, 50947, 56360, 51032, 50921, 70712, 60511, 57360, 50442, 51076, 62888, 51078, 50921, 50947, 50921, 51034, 50929, 50921, 51076, 50921, 58208, 50418, 50929, 62991, 51078, 50921, 50947, 55889, 50929, 50921, 51076, 50921, 52028, 50896, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 73829, 58308, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51067, 50921, 65400, 56767, 50418, 51563, 62991, 50947, 50921, 51786, 55889, 51076, 50921, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50929, 50921, 51076, 50921, 51034, 50986, 50823, 50998, 50921, 63642, 50417, 50622, 50418, 51067, 59723, 50622, 50422, 51078, 50921, 51032, 66693, 50622, 50426, 50621, 51076, 50921, 53805, 50896, 50430, 50947, 62887, 50998, 50921, 50929, 56360, 51131, 50921, 50960, 50921, 70712, 50442, 50929, 62888, 50986, 50823, 51078, 50921, 51034, 50622, 54432, 50896, 59364, 65400, 56479, 56767, 51076, 60625, 52028, 53585, 79655, 58208, 57998, 56767, 51032, 50824, 51034, 52028, 50896, 61446, 56479, 57360, 51067, 60625, 51574, 50824, 50929, 53585, 59364, 65400, 56479, 60511, 51067, 50824, 51034, 79655, 58208, 57998, 56767, 51032, 60625, 52028, 50896, 61446, 50960, 53585, 58208, 65400, 56479, 56767, 51076, 50824, 51034, 59364, 61446, 56479, 60511, 50947, 73354, 50960, 62991, 50998, 55889, 50947, 50921, 59364, 61446, 56479, 60511, 50430, 50947, 62887, 51444, 50921, 51131, 50921, 50998, 50921, 50929, 56360, 50947, 50921, 59364, 56479, 60511, 50442, 51032, 62888, 51444, 50921, 50960, 50921, 50929, 50921, 51076, 50921, 51034, 51032, 50921, 70712, 60511, 57360, 50418, 50947, 62270, 51078, 55889, 50960, 68418, 51078, 62887, 51444, 50823, 50960, 50921, 50947, 56360, 51032, 50921, 70712, 61446, 50442, 51076, 62150, 51444, 50823, 50960, 50921, 50947, 50921, 51034, 50929, 50921, 51076, 50975, 58208, 65400, 56479, 50418, 50929, 62991, 50947, 55889, 50929, 50921, 51076, 50921, 52028, 50896, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50823, 51574, 50806, 59077, 56488, 55046, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 65400, 56479, 56767, 51067, 51059, 50418, 51563, 62991 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 13134, 2214, 4246, 2020, 3548, 6, 21979, 8669, 6, 24896, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 24826, 198, 5, 40286, 211, 8, 83, 6, 2351, 41, 11653, 8, 19448, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50796, 50459, 51997, 51212, 50799, 51707, 50978, 50417, 53154, 51212, 50420, 51707, 54347, 51997, 51432, 50425, 52554, 51116, 50429, 52146, 51336, 50431, 53416, 60157, 52554, 59983, 51997, 51177, 50441, 51707, 50974, 50443, 53154, 51562, 50447, 52181, 69698, 52162, 72044, 53167, 60491, 54039, 51123, 50454, 51840, 56608, 54647, 52146, 51795, 51997, 51177, 51007, 50817, 54039, 50824, 51840, 57303, 50850, 73481, 51840, 51215, 54079, 51158, 53476, 50800, 51840, 50802, 54039, 50802, 51444, 51108, 59609, 55728, 56102, 59748, 53154, 55041, 56102, 50835, 53476, 51749, 52162, 50805, 51131, 51484, 50960, 50820, 50947, 51241, 51067, 62658, 50960, 51145, 50424, 51997, 51111, 51067, 60184, 51216, 51379, 52181, 60092, 52028, 51051, 51444, 51108, 50429, 52131, 60394, 53154, 64463, 51131, 50886, 52028, 54854, 51997, 51212, 50850, 50962, 51840, 50828, 52028, 51221, 50433, 51131, 51377, 50436, 52146, 52069, 50947, 51642, 50437, 51067, 51642, 68005, 51500, 53154, 51775, 50439, 51444, 51576, 50442, 52181, 50827, 51131, 51097, 52028, 57997, 52162, 51363, 50850, 50817, 51840, 50817, 54039, 50829, 50960, 51047, 79853, 51067, 70635, 51997, 77393, 51493, 50940, 52181, 69305, 51574, 50977, 50454, 52162, 51241, 50456, 51705, 71936, 57895, 52344, 50827, 51840, 50817, 52028, 50866, 50460, 51997, 50866, 53458, 51175, 51311, 51679, 50415, 53476, 50864, 51207, 50937, 50417, 56102, 50907, 50418, 51707, 68655, 52162, 50974, 51207, 51377, 50960, 51003, 50929, 50943, 51076, 51051, 50421, 50847, 63863, 51997, 51376, 51076, 51709, 50426, 51273, 51043, 52554, 51432, 50427, 51707, 51115, 51444, 51108, 50430, 51207, 50904, 51311, 51241, 50431, 51997, 66013, 51207, 50974, 50960, 51775, 50929, 51108, 50433, 52554, 51008, 50847, 78117, 61385, 51076, 51642, 50437, 52146, 51353, 57280, 51124, 51444, 51108, 51207, 51878, 50439, 52554, 51363, 50442, 50960, 64831, 51997, 74458, 51311, 51484, 50960, 77749, 51218, 50445, 51707, 51242, 51076, 50878, 50448, 51076, 51642, 50449, 52554, 52989, 51273, 51255, 51444, 51108, 50451, 51997, 51233, 50454, 50935, 50928, 75924, 50455, 51707, 51058, 60697, 50457, 52181, 50844, 50847, 50817, 51439, 50829, 50960, 50925, 51076, 50977, 50460, 53154, 54558, 50318, 50982, 65498, 51311, 59700, 52162, 50865, 51207, 50904, 54079, 51175, 50947, 51283, 50415, 53476, 50854, 50850, 50974, 51444, 51108, 52028, 51174, 50417, 53154, 51101, 56102, 54657, 52162, 50845, 52028, 51108, 51131, 51377, 50421, 51840, 50883, 51067, 50955, 50424, 51997, 51177, 51067, 79433, 51216, 51286, 52181, 63024, 51444, 51108, 50430, 52131, 50857, 53154, 51328, 50431, 51131, 57547, 51997, 51177, 52028, 51576, 50947, 50925, 51067, 62903, 51707, 50867, 51067, 51108, 50947, 51423, 50438, 51389, 51379, 50439, 53154, 51103, 51444, 51174, 50442, 52181, 50867, 50850, 51319, 50960, 51709, 50444, 52162, 51412, 50850, 50817, 51444, 51481, 52028, 51221, 51131, 51241, 50947, 51377, 50448, 51997, 51043, 51067, 55437, 51216, 51111, 52181, 67447, 51444, 65126, 52162, 51100, 50944, 52134, 50960, 51939, 50456, 52344, 50867, 50944, 68969, 51031, 51840, 50891, 51574, 65264, 51997, 51212, 67554, 50460, 52028, 50813, 53458, 51215, 51707, 50978, 62486, 50935, 51000, 51207, 51218, 50417, 53154, 51212, 50420, 51707, 50810, 51311, 50827, 50929, 51241, 51076, 56174, 51997, 51432, 50425, 52554, 69745, 51273, 51423, 50429, 52146, 51336, 51439, 51269, 50935, 51269, 50430, 63413, 50431, 53416, 56799, 50935, 50817, 51439, 78230, 50817, 51207, 64160, 51078, 51642, 50435, 52554, 51008, 50436, 51846, 54431, 51216, 51160, 51997, 51177, 51131, 51675, 50441, 51707, 50974, 50442, 50850, 51297, 50947, 67762, 53154, 51562, 50444, 51125, 59482, 50817, 51649, 50846, 51649, 52167, 51574, 50972, 50947, 50925, 67704, 50998, 56888, 52181, 71487, 51078, 58510, 52162, 51310, 50947, 73265, 51273, 51534, 53167, 76595, 51444, 51709, 50453, 54039, 51123, 50454, 51840, 56608, 50880, 50960, 51381, 50456, 52146, 51795, 51997, 51177, 51007, 50817, 54039, 50824, 51840, 50803, 52028, 50972, 50947, 50925, 51067, 64801, 50850, 73481, 51840, 51215, 51067, 51108, 76425, 54079, 51162, 53476, 50844, 50850, 50879, 51444, 51709, 51444, 51108, 50418, 56102, 50886, 53154, 51480, 50420, 52162, 56219, 50817, 51840, 50817, 61447, 50947, 50943, 50960, 51377, 51067, 51391, 50424, 51997, 51212, 50425, 53167, 52917, 51493, 51566, 52181, 70134, 51444, 51709, 50429, 52131, 63341, 53154, 51277, 50960, 52140, 50432, 51997, 68592, 59482, 50817, 51840, 50817, 51131, 51318, 50947, 51255, 50436, 51707, 52788, 51140, 51566, 53154, 51742, 51444, 58862, 51840, 51851, 50442, 52181, 50864, 67555, 51574, 79959, 53167, 50870, 52162, 70267, 64223, 51997, 77393, 51705, 51427, 52181, 50874, 51504, 76596, 53167, 60202, 52162, 50943, 51840, 50904, 50850, 55370, 50850, 50817, 51840, 50817, 52028, 71248, 52344, 72070, 51007, 56603, 51997, 51058, 53458, 51286, 58283, 50415, 53476, 62122, 50912, 51439, 52192, 51207, 51178, 50417, 56102, 64685, 51707, 51008, 50935, 51126, 50419, 50847, 54202, 52162, 50978, 58735, 51311, 51025, 64226, 50421, 51439, 51072, 50847, 51072, 62388, 51076, 55054, 53154, 51126, 51997, 51254, 50424, 51076, 51642, 50929, 51637, 50425, 53154, 50863, 52554, 51387, 51707, 79642, 51273, 51212, 73402, 51269, 51444, 51709, 50429, 51997, 51233, 50430, 51311, 59833, 51207, 51314, 50432, 52554, 50987, 65923, 50935, 50802, 51439, 50824, 51311, 51377, 50960, 51412, 51076, 55270, 52146, 51692, 50436, 51076, 51642, 57280, 51167, 52554, 51423, 50935, 51269, 51444, 51108, 50441, 50935, 74965, 51997, 51242, 50847, 50857, 70642, 51311, 51709, 50444, 51707, 56347, 50976, 50847, 50802, 51439, 50993, 51076, 50933, 50929, 51221, 50448, 52554, 50864, 51076, 55437, 51273, 50892, 51997, 53726, 61204, 50935, 50971, 51444, 51051, 50453, 51439, 65126, 51707, 50866, 50935, 50864, 50847, 50855, 50960, 51642, 50456, 52181, 55305, 66109, 50817, 51439, 50818, 51311, 56054, 53154, 72275, 67828, 52162, 51158, 51131, 50867, 56950, 51379, 53476, 50844, 50850, 50892, 50960, 51241, 50417, 56102, 64305, 53154, 51411, 50420, 52162, 50987, 51007, 59482, 51072, 51840, 50824, 54039, 50824, 51131, 51108, 50947, 51518, 51067, 50959, 50424, 51997, 51277, 51067, 51642, 50425, 52181, 52872, 51216, 50967, 52181, 57544, 52131, 60155, 53154, 50892, 60917, 50431, 51997, 67772, 58051, 51007, 50817, 51840, 50993, 54039, 50824, 51131, 51056, 50960, 51417, 51067, 66859, 52146, 51422, 50436, 51067, 61417, 51273, 51337, 53154, 51452, 50439, 51444, 51709, 52028, 51174, 50441, 51840, 51128, 50442, 52181, 79174, 52028, 51481, 51131, 51351, 50444, 52162, 51534, 53167, 50870, 51007, 50817, 51840, 50824, 54039, 59080, 59788, 51997, 51337, 51067, 52763, 51493, 50879, 52181, 50822, 69946, 50909, 51166, 52028, 73173, 51444, 65126, 52162, 51177, 50944, 51000, 50960, 51134, 50456, 51705, 50830, 52344, 50874, 50944, 64622, 50817, 51840, 50811, 51574, 71429, 50847, 63940, 51997, 51277, 52028, 50855, 53458, 51238, 51707, 50987, 50847, 57749, 51432, 50415, 51207, 51056, 50418, 53154, 77769, 51707, 50822, 50935, 50817, 51439, 78230, 50817, 50960, 51562, 50929, 51377, 51076, 50955, 50424, 75938, 51076, 59386, 51273, 51328, 53416, 51022, 52554, 51423, 64059, 51207, 51174, 50430, 53416, 56981, 51252, 50847, 51126, 50431, 51078 ]
[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 2365, 619, 6, 4246, 3459, 8, 21979, 29589, 6, 21072, 6, 38668, 22052, 6, 8, 41, 21979, 9590, 4, 20, 1349, 16, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8017, 163, 5683, 4, 20, 33215, 16739, 9, 272, 6, 211, 6, 1918, 6, 8, 211, 406, 17992, 7, 5, 2214, 18, 1372, 8, 19448, 16464, 6, 442, 24, 41, 11653, 2125, 14, 19646, 13, 16041, 2397, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53788, 51059, 60211, 52054, 53657, 62650, 51451, 51244, 51366, 51244, 51209, 51244, 50988, 51448, 50885, 52263, 51716, 52147, 52471, 53801, 51039, 50367, 75453, 51768, 56823, 50810, 54659, 55641, 53229, 54150, 51150, 55024, 51589, 50367, 64256, 51832, 57385, 51059, 77809, 51366, 51244, 51209, 51244, 51229, 51244, 51334, 51244, 51701, 52147, 52295, 53801, 51180, 50367, 75453, 51955, 56823, 50810, 54659, 55641, 62650, 51217, 51753, 50946, 56711, 51150, 57888, 51589, 50367, 64256, 51832, 53788, 51059, 77809, 51716, 52212, 52295, 53055, 51039, 50371, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 50988, 51637, 50885, 51477, 51768, 56823, 51373, 53791, 55641, 62650, 52471, 53838, 50432, 51150, 57888, 51589, 50370, 64256, 51832, 57385, 51059, 52506, 54413, 62650, 51366, 51244, 51209, 51244, 51229, 51244, 51334, 51244, 51701, 52212, 51716, 53055, 51180, 50380, 75453, 51955, 56823, 51373, 51475, 55641, 62650, 51217, 51753, 50946, 50974, 52295, 53838, 50456, 51150, 57888, 55475, 50380, 64256, 51832, 53788, 51059, 77809, 50988, 51174, 64060, 51716, 52212, 52295, 53055, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 51768, 56823, 68648, 55641, 62650, 50988, 51642, 50885, 51337, 52471, 53838, 50432, 51150, 53287, 50822, 78617, 51832, 57385, 51059, 77809, 51217, 51448, 50946, 52263, 51701, 52147, 52295, 53801, 51180, 50367, 75453, 51366, 51477, 51209, 51477, 51229, 51477, 51334, 51477, 51955, 56823, 68648, 55641, 53229, 54622, 51150, 55572, 51589, 50367, 64256, 51832, 53788, 51059, 77809, 51716, 52212, 52295, 53055, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 50988, 51637, 50885, 51477, 51768, 56823, 51373, 51475, 55641, 62650, 52471, 53838, 50432, 51150, 55572, 51589, 50367, 64256, 51832, 57385, 51059, 77809, 51701, 52147, 52295, 53801, 50439, 51971, 51192, 51180, 50367, 75453, 51366, 51477, 51209, 51477, 51229, 51477, 51334, 51477, 51217, 51637, 50946, 51477, 51760, 50806, 51955, 56823, 51373, 51475, 55641, 62650, 51756, 63962, 51150, 52651, 50844, 51895, 64256, 51832, 54079, 51059, 77809, 51322, 54211, 51256, 52151, 51229, 52062, 51171, 51376, 51164, 50972, 51821, 51922, 52009, 52503, 51760, 52195, 51039, 50367, 75453, 52468, 51662, 51768, 56823, 68648, 55641, 62650, 52286, 51481, 51171, 51867, 50297, 55378, 51273, 57888, 50822, 78617, 51832, 51664, 51145, 51971, 53402, 51273, 51059, 77809, 52547, 63510, 51850, 67799, 50367, 75453, 51992, 51160, 51955, 56823, 68648, 55641, 53229, 54622, 51273, 52773, 51589, 50367, 64256, 51832, 50457, 52235, 50821, 53458, 51059, 77809, 52252, 51922, 52471, 52503, 50415, 51992, 51226, 51039, 50367, 75453, 51830, 52069, 53160, 51166, 51768, 56823, 51373, 51475, 55641, 62650, 51322, 51677, 51171, 51058, 50431, 52387, 56799, 51098, 50823, 53273, 50367, 64256, 51832, 51209, 51680, 51590, 51790, 50988, 52212, 51042, 51314, 50434, 52213, 51033, 57280, 51029, 77809, 54415, 63510, 52721, 50894, 51180, 50367, 75453, 51756, 50882, 51955, 56823, 51373, 51475, 55641, 62650, 51760, 52935, 51098, 58630, 50844, 51895, 64256, 51832, 51971, 50880, 53788, 51059, 77809, 50988, 51448, 50885, 52263, 51716, 52212, 52295, 53055, 50415, 51756, 53435, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 51768, 56823, 68648, 55641, 62650, 52471, 53838, 50432, 51150, 53287, 50822, 78617, 51832, 57385, 51059, 77809, 51366, 51244, 51209, 51244, 51229, 51244, 51334, 51244, 51701, 52212, 51716, 53055, 56960, 50380, 75453, 51217, 51637, 50946, 51477, 51955, 56823, 68648, 55641, 62650, 52295, 53838, 50456, 51150, 53287, 51589, 50367, 64256, 51832, 73092, 53788, 51059, 77809, 51366, 51244, 51209, 51244, 51590, 51244, 51390, 51244, 52252, 52147, 52295, 53801, 51039, 50368, 75453, 51768, 56823, 51373, 51475, 55641, 62650, 51217, 51753, 51042, 55544, 51150, 57888, 51589, 50371, 64256, 51832, 57385, 51059, 77809, 51217, 51448, 50946, 52263, 51701, 52212, 51716, 53055, 51180, 50368, 75453, 51366, 51477, 51209, 51477, 51229, 51477, 51334, 51477, 51955, 56823, 54791, 53187, 55641, 62650, 52295, 53838, 50456, 51150, 55572, 50844, 78617, 51832, 53788, 51059, 77809, 51451, 53651, 51366, 53651, 51209, 53651, 50988, 51470, 50885, 50845, 51716, 55856, 52295, 62321, 51039, 50367, 75453, 51768, 56823, 68648, 55641, 62650, 51366, 78952, 52063, 50885, 60675, 51150, 55024, 50822, 78617, 51832, 51366, 50808, 52224, 52691, 51150, 51059, 77809, 51366, 50812, 52471, 72782, 51180, 50367, 75453, 51366, 50812, 51955, 56823, 68648, 55641, 62650, 51366, 54424, 51150, 52651, 51589, 50367, 64256, 51832, 51366, 73613, 51210, 67693, 73092, 53788, 51059, 77809, 51256, 51016, 52471, 53142, 51039, 50371, 75453, 50988, 50933, 65999, 51768, 56823, 51373, 53791, 55641, 62650, 51366, 50938, 51322, 51328, 51209, 51742, 50432, 51150, 55572, 51589, 50370, 64256, 51832, 51322, 51013, 51366, 51295, 68846, 55306, 51150, 51059, 52506, 54413, 62650, 50988, 51333, 50885, 51542, 52295, 55002, 51180, 50380, 75453, 51322, 51233, 51451, 51623, 51955, 56823, 51373, 51475, 55641, 62650, 51451, 67773, 51150, 52750, 55475, 50380, 64256, 51832, 53458, 51059, 77809, 51322, 53651, 51209, 53651, 51590, 53651, 50988, 51210, 51042, 50978, 52252, 55856, 52009, 62321, 51039, 50367, 75453, 51768, 56823, 68648, 55641, 62650, 51322, 58796, 52460, 51042, 59982, 51098, 55075, 50822, 78617, 51832, 51322, 52599, 51098, 51029, 77809, 51322, 51294, 52471, 72782, 51180, 50367, 75453, 51955, 56823, 68648, 55641, 53229, 54622, 51098, 50921, 53273, 50367, 64256, 51832, 51322, 50865, 50988, 50907, 51042, 51051, 53458, 51091, 77809, 51366, 50807, 52471, 53142, 51039, 50368, 75453, 50988, 50912, 80057, 51768, 56823, 51373, 51475, 55641, 62650, 51229, 51328, 51322, 51013, 51390, 51742, 50432, 51098, 52651, 51589, 50371, 64256, 51832, 51590, 51295, 53160, 51254, 57280, 50802, 57713, 50882, 55088, 62650, 51451, 51111, 50988, 52011, 51042, 51333, 52009, 55002, 50444, 51668, 56425, 50371, 75453, 51229, 51233, 51912, 64466, 51389, 58807, 68648, 55641, 62650, 51209, 51177, 52145, 55346, 51668, 55075, 53887, 50812, 55474, 53364, 51832, 50457, 51451, 50805, 52215, 50812, 54079, 51059, 77809, 51322, 52500, 51322, 53588, 51256, 53588, 51229, 53588, 51171, 54146, 51164, 51254, 50946, 51210, 51821, 52727, 52009, 55275, 51039, 50367, 75453, 51768, 56823, 68648, 55641, 62650, 51171, 51376, 51164, 51058, 50946, 62050, 51273, 53287, 50822, 78617, 51832, 52224, 52691, 51273, 51300, 77809, 51180, 50367, 75453, 51955, 56823, 68648, 55641, 53229, 54622, 53273, 50367, 64256, 51832, 53458, 51059, 77809, 51256, 53588, 51209, 53588, 51590, 53588, 51390, 53588, 52252, 52727, 52547, 55275, 51039, 50371, 75453, 51164, 50827, 70750, 51768, 56823, 51373, 53791, 55641, 53229, 54150, 51098, 55572, 55629, 64256, 51832, 51830, 51111, 53160, 51121, 57280, 51059, 52506, 54413, 62650, 51664, 51215, 51164, 51961, 51042, 51419, 51180, 50372, 75453, 51451, 50983, 51955, 56823, 51373, 51475, 55641, 53229, 54622, 51098, 55075, 55475, 50380, 64256, 51832, 50461, 51366, 51714, 53788, 51059, 77809, 50988, 51174, 64060, 51716, 52212, 52295, 53055, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 51768, 56823, 68648, 55641, 62650, 50988, 51642, 50885, 51337, 52471, 53838, 50432, 51150, 55075 ]
[ 0, 250, 19448, 5175, 8, 3495, 1619, 2214, 4246, 10, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 38668, 11212, 6, 8, 21072, 4, 20, 2125, 16, 11, 272, 538, 6, 34, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 272, 6, 272, 119, 1176, 406, 6, 272, 406, 6, 8, 230, 3639, 7, 5, 2214, 18, 15352, 30054, 8, 822, 12, 3341, 5466, 6, 2351, 10, 1372, 8, 32625, 13569, 9862, 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 ]	[ 57211, 69296, 51025, 51837, 50864, 52778, 59196, 51516, 76430, 51837, 56133, 52353, 57050, 53519, 52417, 51153, 51115, 52778, 51124, 51948, 79954, 51516, 54185, 51837, 58186, 52353, 54481, 52778, 50839, 62673, 51391, 51578, 50971, 52778, 50874, 51837, 59196, 52709, 54611, 52778, 65605, 51837, 78240, 51578, 56761, 51435, 50987, 52381, 51174, 51876, 51003, 52353, 61985, 51837, 54208, 52381, 55726, 51516, 54194, 51435, 54603, 51153, 50841, 50799, 52133, 60130, 51615, 52335, 51711, 51477, 52225, 51313, 58385, 50863, 55301, 51283, 51280, 51134, 64862, 51489, 64267, 53735, 58481, 51099, 76430, 51153, 54347, 55873, 50928, 51275, 56503, 55028, 51516, 52417, 51863, 51675, 58128, 50870, 51416, 52015, 51489, 51178, 51308, 51110, 51964, 50918, 50856, 56926, 54811, 51099, 54185, 51153, 58045, 51275, 54319, 51489, 54625, 50856, 59119, 50856, 50870, 50799, 51711, 51562, 52225, 51477, 54720, 51151, 51656, 51115, 57716, 51000, 52584, 51965, 51876, 51377, 51119, 50813, 51153, 50836, 51489, 59260, 53735, 59176, 51435, 55836, 53420, 51489, 59190, 56016, 57655, 50891, 51153, 53507, 55028, 51119, 55454, 52818, 52255, 54557, 51838, 52783, 55873, 50908, 51132, 52168, 51275, 51178, 51876, 50865, 51144, 51194, 51512, 51212, 50856, 56926, 54721, 51153, 50841, 50799, 52137, 52250, 51338, 51477, 51153, 50915, 51964, 51486, 51232, 50915, 51099, 51267, 50801, 50859, 52068, 50420, 51869, 52783, 50426, 51280, 55316, 53627, 51338, 51080, 51153, 51295, 51280, 51295, 51144, 51295, 51099, 64286, 50859, 51570, 50812, 52320, 52955, 51416, 56029, 52567, 51137, 50907, 50799, 54307, 52720, 52626, 55597, 51338, 51637, 51232, 50915, 51153, 50915, 51964, 51790, 51099, 61725, 52189, 53932, 51869, 75498, 51280, 55316, 52749, 51338, 52168, 51153, 51267, 51280, 51411, 51099, 51267, 51144, 66778, 50859, 51570, 51757, 54173, 56634, 79519, 53775, 54038, 53807, 60078, 55199, 50982, 54309, 51680, 51099, 50981, 51489, 50943, 51153, 50915, 51964, 51003, 51976, 52871, 51434, 50879, 51869, 51884, 50426, 51607, 50879, 51280, 54412, 55023, 65903, 51669, 51073, 51964, 51417, 51280, 51534, 51429, 51363, 51275, 51233, 51099, 51534, 51570, 52597, 52043, 51364, 51338, 51477, 51280, 51411, 51099, 51025, 51153, 51025, 51489, 65849, 52741, 51782, 51610, 51116, 54309, 52015, 51280, 51477, 77480, 51964, 51391, 51435, 50845, 51119, 59621, 52189, 52734, 52327, 53950, 52327, 53417, 55023, 52605, 52257, 50879, 51153, 52781, 52043, 51013, 51964, 51351, 51429, 50978, 51280, 51477, 51099, 51058, 51489, 52839, 51820, 51416, 51637, 59424, 50446, 50832, 52231, 52283, 52445, 57730, 55038, 51669, 51013, 51429, 50813, 76440, 51099, 54748, 51041, 51907, 51124, 54309, 51680, 51964, 51422, 51099, 51255, 51280, 50932, 51153, 51025, 51489, 51377, 50801, 52189, 51835, 51434, 54851, 51607, 53538, 55023, 53308, 51669, 51013, 51280, 51043, 51275, 51178, 51429, 51203, 51099, 51233, 51570, 51820, 52043, 51294, 51338, 51637, 51153, 51203, 51489, 51255, 51280, 77209, 51255, 59424, 52320, 55023, 51111, 52894, 51080, 51876, 51191, 77061, 51435, 50901, 51119, 50892, 51144, 67294, 52189, 51835, 52327, 54818, 71175, 51119, 50808, 51435, 51582, 67893, 56632, 52043, 50879, 51489, 53018, 51669, 51472, 51181, 51244, 51708, 51775, 51198, 51172, 51275, 51177, 52176, 51480, 51119, 50873, 51435, 62806, 51820, 59424, 50446, 50832, 52231, 52283, 52445, 57730, 55038, 50832, 51041, 51907, 51124, 53053, 51183, 51198, 51381, 51516, 50866, 51099, 51419, 51275, 50987, 51869, 51381, 51429, 79198, 52189, 52450, 51669, 50952, 51516, 50833, 51429, 52938, 55023, 53308, 51669, 55486, 51669, 51238, 57097, 51148, 51876, 51134, 51144, 51134, 51429, 50905, 51275, 50901, 51435, 54042, 52711, 52043, 55855, 52741, 52327, 50924, 78806, 51429, 50941, 51275, 50857, 51782, 51610, 52961, 52257, 51472, 54281, 51183, 52533, 51134, 51232, 51419, 51099, 50915, 51153, 51003, 51489, 61725, 52153, 70829, 67893, 52446, 52807, 50879, 51132, 51183, 51876, 51351, 51119, 50892, 51435, 50901, 77480, 51144, 51419, 50791, 51820, 52257, 59155, 62236, 50832, 52231, 52283, 52445, 50449, 50832, 55038, 71175, 79539, 51119, 51475, 51041, 51907, 66313, 52257, 51364, 54281, 51148, 51099, 51400, 52533, 51267, 51489, 51400, 51232, 51363, 51153, 66778, 52153, 50808, 51544, 55023, 52605, 51607, 55122, 71175, 51181, 51148, 51119, 50987, 51153, 50866, 51275, 50866, 52176, 51108, 51708, 50981, 51198, 51542, 51435, 61098, 52597, 52257, 61468, 52741, 52257, 50884, 52807, 51013, 51153, 50857, 51275, 50813, 51435, 50857, 51578, 50857, 51782, 51610, 51162, 50799, 52257, 51655, 51743, 51293, 51615, 51353, 51711, 51218, 53775, 50813, 51137, 51295, 51153, 51212, 51275, 51178, 51516, 51178, 51198, 50995, 51099, 51542, 51869, 67294, 52153, 53932, 53807, 53111, 51269, 50425, 55199, 53272, 51516, 50862, 51275, 50862, 51153, 53340, 52559, 52187, 51742, 56660, 50857, 51137, 51790, 51198, 51803, 51429, 52168, 51516, 51675, 51869, 51790, 51099, 52015, 51275, 51803, 52404, 51104, 50984, 51180, 53140, 50852, 50984, 50455, 55873, 61688, 58385, 50829, 50799, 51743, 51391, 51656, 51191, 51711, 51351, 57655, 50820, 51137, 51177, 51153, 51212, 51198, 51079, 51119, 51328, 51435, 51212, 51869, 51006, 51099, 79198, 52189, 53932, 51684, 50912, 53978, 50423, 63132, 50886, 52993, 52063, 51869, 50878, 51099, 50827, 51119, 50978, 51435, 50892, 51198, 51008, 51153, 57567, 52227, 51123, 51544, 52765, 51684, 55238, 51743, 51790, 51615, 51790, 52187, 51790, 51838, 51675, 74148, 50820, 51137, 51803, 51869, 51267, 51099, 51312, 51275, 50981, 51198, 51312, 51429, 66560, 56926, 54811, 50801, 52741, 54173, 54617, 58629, 53775, 53007, 53807, 53802, 54625, 55199, 54617, 50841, 50799, 52133, 51477, 52033, 51477, 51338, 52015, 51964, 50981, 51099, 51312, 51280, 51380, 51153, 51312, 51489, 51267, 50801, 52189, 53932, 51434, 58415, 58844, 51607, 50924, 51782, 51610, 54725, 51669, 51073, 53541, 51003, 51881, 50807, 51964, 51417, 51280, 51448, 51099, 51255, 51429, 51194, 51275, 70096, 51269, 51570, 54746, 52043, 51294, 52133, 52069, 52033, 51141, 51338, 51283, 51153, 51203, 51489, 51116, 51099, 51255, 58036, 60205, 51340, 51610, 50865, 51453, 51269, 50799, 51743, 51183, 51338, 52168, 51280, 51419, 51964, 51351, 51119, 51212, 51153, 51177, 51435, 51212, 50801, 52153, 52871, 52327, 52304, 58844, 71175, 51119, 50822, 51441, 51610, 54725, 52257, 50879, 51153, 51467, 61929, 52043, 51013, 51615, 50981, 52033, 51380, 51964, 51351, 51429, 50974, 51280, 51310, 51099, 51074, 51489, 57837, 51820, 51416, 51330, 58036, 51269, 50446, 50832, 52231, 52283, 52445, 50449, 50832, 55038, 51669, 51013, 51881, 51003, 51743, 50943, 51275, 50917, 51099, 50925, 51429, 64834, 51041, 52764, 66947, 51137, 57154, 51269, 50799, 52133, 51295, 52033, 51189, 51338, 51680, 51489, 51003, 51153, 51003, 51280, 51391, 51964, 51486, 51099, 51267, 50801, 52153, 52871, 51434, 53417, 58844, 51607, 53417, 55023, 56632, 51669, 51013, 53541, 50943, 51881, 50807, 51099, 51255, 51280, 51562, 51275, 51116, 51429, 72707, 51269, 51570, 52597, 52043, 51364, 52133, 52069, 52033, 51189, 51338, 51318, 51099, 51100, 51153, 51177, 51489, 51100, 58036, 51269, 52320, 55023, 50795, 51453, 51269, 50799, 51743, 51359, 51132, 51183, 51876, 51191, 78147, 51435, 50873, 51144, 51391, 51153, 58679, 52189 ]
[ 0, 250, 33928, 8, 15352, 30054, 15855, 1619, 2214, 19, 11057, 16882, 6, 4246, 10, 13305, 483, 7513, 30, 326, 5638, 18026, 6, 21979, 9590, 6, 26432, 636, 3938, 22052, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 15229, 1239, 5, 30443, 15, 10, 32076, 9733, 6, 7630, 14805, 10, 1472, 9, 2317, 4780, 8, 25306, 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 ]	[ 54458, 55753, 60849, 51709, 56770, 52188, 59449, 50974, 53274, 51709, 53873, 52188, 57026, 68751, 59800, 50886, 59634, 63341, 59449, 50886, 57026, 67203, 57406, 51961, 61891, 51642, 56737, 52025, 52888, 51961, 55566, 51642, 53686, 52025, 50447, 59449, 50874, 57026, 54185, 61891, 50886, 55566, 66211, 57312, 51097, 60849, 51333, 55845, 51328, 52689, 51097, 54992, 51337, 53274, 51333, 53069, 61891, 50874, 55566, 65370, 55845, 50886, 54992, 53860, 56770, 51097, 58389, 51466, 53873, 50981, 53391, 51466, 50433, 57406, 52397, 52888, 52397, 50453, 57312, 51637, 59173, 52136, 52798, 51121, 52689, 51637, 52945, 52136, 50459, 52837, 50810, 51601, 52798, 65145, 54148, 51116, 50425, 58864, 51749, 53565, 51535, 50426, 58587, 52407, 54911, 52407, 50432, 52798, 62903, 54148, 58638, 59420, 53280, 58389, 51244, 52978, 50821, 53132, 53280, 53391, 51244, 50458, 52837, 50880, 56020, 71291, 55776, 58707, 55776, 50423, 52803, 52598, 50424, 68007, 53866, 55283, 53866, 50425, 54195, 51318, 50427, 58389, 52980, 53391, 52980, 50428, 50696, 50340, 51241, 68093, 50952, 50421, 51971, 50821, 50428, 50906, 51218, 51026, 51218, 50871, 51241, 51743, 51627, 51863, 51749, 51850, 69200, 51760, 50805, 50443, 52280, 66092, 52033, 53142, 51656, 51627, 50448, 50900, 64291, 60015, 50943, 51971, 50936, 50454, 51756, 51111, 50799, 52213, 50878, 50419, 51863, 51878, 51760, 50921, 56363, 51241, 50916, 51734, 50292, 57908, 52280, 51111, 50433, 52387, 62090, 51743, 52263, 51656, 51965, 51760, 50938, 50440, 51050, 51241, 50871, 51241, 50877, 51241, 50445, 51756, 51177, 50459, 51026, 51218, 50871, 51218, 50906, 50983, 51838, 51749, 52036, 51397, 59800, 50874, 51850, 51121, 59634, 50808, 52478, 61891, 50864, 51760, 51101, 55566, 52524, 56737, 50907, 52280, 50866, 53686, 72479, 51085, 51518, 50900, 64291, 51241, 50877, 51518, 51711, 51878, 52225, 51749, 50432, 59449, 50874, 51971, 50925, 57026, 61169, 55845, 50864, 54992, 52781, 51756, 51121, 50445, 60849, 50851, 52213, 50959, 53274, 67447, 50997, 64291, 50943, 51863, 51878, 51838, 51749, 61891, 50874, 51760, 50942, 55566, 62474, 56770, 50864, 52280, 50845, 53873, 50813, 51809, 57406, 51123, 52387, 51006, 52888, 56779, 51050, 65065, 59466, 60015, 51377, 51656, 52519, 51711, 51961, 61891, 50851, 51760, 50937, 55566, 50844, 50428, 55845, 50941, 51756, 50942, 54992, 63776, 51838, 51679, 52036, 54211, 52430, 51422, 52213, 51167, 50443, 50899, 51734, 50294, 51218, 50871, 51056, 50877, 50943, 50452, 52213, 51215, 50799, 52414, 52598, 52225, 51961, 52213, 51111, 50415, 51315, 51377, 51040, 51178, 66180, 65645, 50424, 52213, 51095, 50434, 52036, 53201, 52886, 52062, 51760, 51077, 50435, 51120, 51675, 50871, 51127, 50877, 51127, 50902, 51127, 50445, 51027, 51241, 50454, 50899, 50937, 50461, 51760, 50936, 52591, 51971, 55889, 51214, 53380, 51026, 51241, 50877, 51241, 50973, 51241, 50931, 51241, 53499, 53233, 50427, 51850, 68765, 51850, 51160, 50449, 50973, 60701, 50937, 51850, 66070, 51026, 51518, 50931, 74238, 50968, 51178, 66180, 50973, 51221, 51971, 51274, 55746, 50973, 51178, 72302, 76592, 50428, 51760, 51111, 50442, 51085, 51518, 50916, 51518, 52225, 53866, 51756, 51685, 50443, 50876, 51518, 50906, 51518, 52626, 51592, 55746, 51150, 55001, 51261, 51423, 50439, 51216, 51412, 67746, 60145, 51098, 51233, 50852, 51466, 50459, 74650, 51062, 50967, 51140, 51576, 52478, 64062, 51146, 61291, 50876, 50809, 59179, 53410, 50840, 53143, 50844, 54033, 54692, 51330, 50431, 50877, 50809, 58276, 51150, 51775, 50441, 51339, 78858, 50809, 53410, 50810, 53143, 50808, 54033, 53800, 51330, 50451, 57213, 69784, 51140, 51775, 50461, 51062, 51291, 75977, 53410, 50855, 53143, 50813, 54033, 54845, 51330, 57731, 51150, 51645, 50433, 51461, 51480, 54708, 50808, 52967, 50808, 53143, 53800, 51330, 50442, 51140, 51411, 53410, 50813, 53143, 50813, 54033, 60964, 74650, 51062, 51060, 52148, 51121, 50449, 71702, 51146, 52848, 52178, 66056, 53410, 50813, 53143, 50886, 54033, 57158, 51330, 50453, 50876, 62901, 51121, 52148, 51101, 50459, 64062, 51146, 59342, 52178, 50857, 54389, 51576, 76301, 71914, 50809, 52148, 58304, 51522, 51645, 53143, 50813, 63000, 50820, 55142, 54845, 51330, 50425, 57061, 51339, 50800, 52488, 59890, 51098, 51412, 50435, 50968, 51358, 51430, 51358, 52194, 51452, 50444, 54764, 50880, 52967, 55557, 50912, 50454, 51150, 51806, 50843, 50971, 51809, 54764, 50855, 52967, 50840, 54708, 57516, 51797, 60564, 51060, 51081, 51060, 51098, 51412, 50843, 51319, 50433, 50876, 71914, 59079, 53410, 50813, 54764, 76316, 53800, 51254, 50443, 62942, 51081, 57295, 50861, 61930, 50809, 51461, 51534, 50456, 61097, 51430, 50809, 53410, 50813, 54764, 50840, 52967, 53800, 51142, 52478, 57213, 51146, 50809, 51098, 51337, 50428, 75977, 51062, 51291, 53410, 50857, 54764, 50840, 52967, 56613, 51852, 50437, 51389, 51709, 50447, 51150, 51852, 54708, 51642, 54764, 50892, 52803, 51178, 50843, 52188, 50457, 51098, 51645, 53410, 50886, 54764, 50844, 52967, 62705, 74650, 51062, 50967, 53572, 50873, 51809, 71702, 69784, 53192, 76157, 53410, 50857, 54764, 76316, 57158, 51852, 58060, 51060, 51062, 51060, 53572, 51177, 60718, 50833, 51146, 50812, 53192, 58511, 51461, 51318, 50430, 50876, 50809, 59179, 53572, 62255, 53410, 50813, 54764, 50840, 56045, 56613, 51079, 50440, 50902, 71027, 50809, 53192, 51124, 50449, 50877, 50918, 50999, 50918, 51140, 57516, 51797, 50450, 52194, 51452, 50456, 51140, 57187, 51493, 51775, 53410, 50857, 53143, 50855, 54033, 54845, 50907, 52478, 50843, 76247, 51273, 51797, 54708, 50844, 53143, 50867, 52967, 55702, 51753, 50431, 51461, 51328, 56631, 50855, 54764, 50857, 52876, 54845, 65219, 50843, 63231, 50877, 76916, 51060, 51140, 51645, 53410, 50813, 53143, 50867, 54033, 55064, 52518, 50448, 63199, 51146, 57465, 50877, 50809, 59179, 53410, 50855, 53143, 50857, 54033, 54845, 51806, 50461, 50871, 50809, 58276, 51150, 51480, 57731, 56143, 51339, 50800, 53410, 50855, 53143, 50810, 54033, 54845, 51806, 50433, 62942, 69784, 51793, 51775, 50442, 53410, 50840, 53143, 50813, 54033, 53800, 51330, 50443, 50877, 51413, 51062, 51291, 50452, 51389, 51576, 53788, 51534, 54708, 50808, 53143, 50808, 52967, 54692, 51330, 50424, 51140, 51576, 53410, 50813, 54033, 50855, 53143, 50867, 55235, 51177, 79143, 51121, 51062, 51060, 50431, 63199, 69784, 56476, 61172, 53410, 50840, 53143, 50857, 54033, 50813, 55235, 51101, 50843, 51806, 50435, 50877, 51060, 51062, 51060, 50441, 67639, 69784, 56476, 53103, 51216, 51775, 55235, 62885, 50877, 71914, 57637, 61783, 51339, 50800, 51522, 51645, 63000, 50810, 53143, 50833, 55142, 56613, 51330, 50455, 55235, 51221, 51809, 50906, 51675, 51430, 51358, 51098, 51534, 54764, 50886, 52967, 50857, 53459, 72270, 53410, 50855, 54764, 76316, 55307, 51330, 50436, 51150, 52048, 50442, 50852, 70042, 53410, 50813, 54764, 50880, 52967, 54845, 51852, 50456, 51081, 51060, 50861, 51110, 51098, 51709, 51601, 51062, 59748, 53410, 50813, 54764, 50855, 52967, 53800, 51330, 50425, 58893, 76533, 50428, 50916, 59304, 50836, 51461, 51534, 50437, 53410, 50813, 54764, 76316, 57158, 51330, 62204, 50809, 51430, 52513, 51098, 51576, 50448, 50861, 71027, 59747, 53410, 50813, 54764, 50833, 52967, 56613, 51330, 50458, 50916, 51291, 51062, 51291, 53069, 51150, 51645, 54033, 50808, 53410 ]
[ 0, 250, 2635, 12, 20764, 15855, 30062, 620, 7085, 2125, 11, 272, 538, 6, 7630, 14805, 10, 1472, 9, 4149, 8, 9066, 9733, 6, 25, 114, 31, 10, 822, 19834, 4, 20, 17691, 28430, 6, 9590, 3863, 6, 326, 5638, 18026, 6, 17465, 102, 6, 8, 2342, 4467, 35810, 561, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 19, 5, 46336, 3184, 24826, 198, 5, 40286, 9, 272, 8, 211, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 25451, 4388, 7122, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50426, 51752, 51145, 52795, 51145, 54246, 55277, 55570, 51445, 52915, 51445, 53942, 51359, 52560, 50835, 79629, 55244, 51151, 51301, 51151, 51301, 53295, 50428, 52820, 55001, 52560, 60741, 52820, 52818, 52560, 59347, 52820, 54248, 52560, 57540, 52820, 52621, 52560, 66424, 52820, 54656, 52560, 60862, 52820, 52875, 52560, 59279, 52820, 54492, 52560, 58145, 52820, 52772, 51752, 51312, 52795, 51312, 52560, 50835, 51093, 51109, 50452, 52820, 55423, 52560, 59842, 52820, 53137, 52560, 59552, 52820, 54603, 52560, 56603, 52820, 50835, 50799, 52202, 51312, 54577, 51312, 52560, 50835, 51357, 51109, 50416, 52820, 56572, 52560, 63266, 52820, 53023, 52560, 58659, 52820, 53868, 52560, 58646, 52820, 52712, 52202, 50987, 54577, 50987, 55570, 51244, 52915, 51244, 53942, 51127, 51357, 50866, 55244, 51047, 51883, 51151, 50432, 52155, 50987, 54019, 50987, 51113, 54014, 52155, 51145, 54019, 51145, 51113, 69600, 60337, 51244, 55465, 51244, 56542, 51127, 70285, 51047, 68967, 51312, 52614, 51312, 52355, 53753, 51284, 51109, 51113, 52919, 50426, 51565, 51312, 52203, 51312, 57184, 51477, 53013, 51477, 54885, 51218, 51182, 51109, 55528, 51115, 51883, 51422, 50438, 51606, 50987, 52307, 50987, 51201, 55040, 51789, 50987, 52882, 50987, 58391, 51058, 54670, 51058, 57538, 50937, 55780, 50866, 51266, 54356, 51596, 51312, 52494, 51312, 53712, 51380, 53157, 51380, 55129, 51056, 52907, 51109, 51107, 51109, 50799, 51789, 51312, 52882, 51312, 58030, 51380, 55455, 51380, 67259, 51056, 55472, 51109, 51299, 51109, 51266, 66038, 51752, 51145, 52795, 51145, 52278, 52121, 53445, 52337, 53060, 52337, 55216, 52250, 52820, 50835, 51301, 51047, 79629, 52776, 51717, 51088, 51717, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52820, 66424, 52820, 54656, 52820, 60862, 52820, 52875, 52820, 59279, 52820, 54492, 52820, 58145, 52820, 52772, 52202, 50987, 54577, 50987, 52820, 50835, 51357, 50866, 51251, 51047, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 51789, 50987, 52882, 50987, 52820, 50835, 51266, 69941, 52820, 54603, 52820, 56603, 52820, 50835, 68449, 50987, 52307, 50987, 52820, 50835, 51201, 50866, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51596, 50987, 52494, 50987, 52820, 50835, 51107, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51752, 51312, 52795, 51312, 52338, 51048, 53064, 51048, 51947, 51048, 52384, 51048, 52820, 50835, 51301, 51109, 51093, 51109, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52202, 50987, 54577, 50987, 52665, 51048, 51996, 51048, 52058, 51048, 51702, 51048, 52820, 50835, 51357, 50866, 51154, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52155, 50987, 54019, 50987, 52820, 50835, 51113, 69905, 52820, 54492, 52820, 58145, 52820, 52772, 52182, 51312, 54650, 51312, 53064, 51048, 51946, 51048, 52384, 51048, 51866, 51048, 52820, 50835, 51088, 51109, 51088, 51109, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 52820, 59552, 52820, 54603, 52820, 56603, 52820, 50835, 72849, 51312, 52795, 51312, 52338, 51048, 53064, 51048, 51947, 51048, 52384, 51048, 52820, 50835, 51301, 51109, 51093, 51109, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 52820, 58659, 52820, 53868, 52820, 58646, 52820, 52712, 51596, 51742, 52494, 51742, 52278, 52121, 53445, 52337, 53060, 52337, 56117, 51048, 52665, 51048, 53175, 51048, 52058, 51048, 55216, 52250, 52820, 50835, 51251, 51109, 51107, 51452, 52776, 51717, 51088, 51717, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 56049, 51048, 56117, 51048, 53266, 51048, 53175, 51048, 52820, 50835, 52065, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52820, 59279, 52820, 54492, 52820, 58145, 52820, 52772, 55308, 51048, 52338, 51048, 53093, 51048, 51947, 51048, 52820, 50835, 51299, 51109, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 51789, 50987, 52882, 50987, 52820, 50835, 51266, 69941, 52820, 54603, 52820, 56603, 52820, 50835, 68449, 50987, 52307, 50987, 56117, 51048, 52665, 51048, 53175, 51048, 52058, 51048, 52820, 50835, 51201, 50866, 51251, 51109, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51596, 50987, 52494, 50987, 52820, 50835, 51107, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51752, 51312, 52795, 51312, 52338, 51048, 53064, 51048, 51947, 51048, 52384, 51048, 52820, 50835, 51301, 51109, 51093, 51109, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52202, 50987, 54577, 50987, 52665, 51048, 51996, 51048, 52058, 51048, 51702, 51048, 52820, 50835, 51357, 50866, 51154, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52155, 50987, 54019, 50987, 52820, 50835, 51113, 69905, 52820, 54492, 52820, 58145, 52820, 52772, 52182, 51312, 54650, 51312, 53064, 51048, 51946, 51048, 52384, 51048, 51866, 51048, 52820, 50835, 51301, 51109, 51088, 51109, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 52820, 59552, 52820, 54603, 52820, 56603, 52820, 50835, 72849, 50987, 52795, 50987, 52338, 51048, 51947, 51048, 52820, 50835, 51093, 50866, 51299, 51109, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51789, 50987, 52882, 50987, 52820, 50835, 51266, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51596, 51742, 52494, 51742, 52278, 51312, 53445, 51445, 53060, 51445, 51946, 51048, 53339, 51048, 53175, 52045, 52058, 52045, 55216, 51359, 52820, 50835, 51088, 51109, 51107, 51452, 52776, 51151, 77681, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52355, 51312, 52196, 51048, 51836, 51048, 52820, 50835, 51113, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52820, 59279, 52820, 54492, 52820, 58145, 52820, 52772, 52824, 51293, 53339, 51036, 52601, 51036, 52820, 50835, 51357, 51151, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 51565, 50987, 52203, 50987, 52820, 50835, 51182, 69941, 52820, 54603, 52820, 56603, 52820, 50835, 68967, 50987, 52614, 50987, 52820, 50835, 51284, 50866, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51606, 50987, 52307, 50987, 52820, 50835, 51201, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51789, 51742, 52882, 51742, 55444, 51244, 55826, 51244, 56787, 51127, 55780, 51047, 51266, 51452, 51301, 51151, 50450, 52355, 51145, 54536, 51380, 54668, 51380, 52196, 51036, 51836, 50918, 53093, 51036, 51947, 51036, 56435, 51056, 53215, 51109, 51113, 51047, 50456, 51789, 50987, 52882, 50987, 51266, 50866, 66791, 50987, 52203, 50987, 58391, 51380, 54670, 51380, 57538, 51056, 51182, 50866, 55780, 51109, 50420, 51789, 50987, 52882, 50987, 51266, 54278, 51596, 51742, 52494, 51742, 52355, 51145, 53712, 51244, 53013, 51244, 53994, 51127, 52907, 51047, 51251, 51047, 51113, 51047, 51107, 51452, 50450, 52714, 51145, 57184, 51244, 54536, 51244, 51996, 50918, 51702, 50918, 54885, 51127, 55528, 51047, 51883, 51047, 79757, 50456, 51789, 50987, 52882, 50987, 51266, 50866, 68449, 50987, 52307, 50987, 51201, 55085, 52155, 50987, 54019, 50987, 51113, 54278, 50623, 51752, 51312, 52795, 51312, 54246, 51293, 53445, 51445, 52915, 51445, 53064, 51036, 52384, 51036, 55216, 51359, 52820, 50835, 51093, 51109, 52776 ]
[ 0, 713, 765, 5175, 37903, 11, 163, 428, 538, 1575, 10, 38668, 2236, 981, 5, 33301, 6, 2800, 30, 21072, 6, 38668, 9590, 6, 228, 438, 4781, 2088, 6757, 6, 8, 5627, 16776, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 1372, 8, 33558, 6711, 6, 442, 24, 10686, 13, 2365, 50, 3618, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 52383, 52423, 51239, 53127, 52432, 51995, 50805, 59796, 50805, 52383, 50808, 52595, 57649, 52437, 52595, 50808, 53207, 52423, 53889, 52844, 51995, 50805, 59796, 50805, 53207, 50808, 53776, 57649, 52565, 53776, 52423, 51239, 53127, 52210, 51995, 50805, 59796, 50805, 53776, 50808, 56526, 52396, 53776, 54312, 56340, 53889, 51187, 53173, 51995, 50805, 59796, 50805, 53776, 51589, 53127, 50818, 51621, 50820, 50799, 53776, 57064, 51239, 53127, 52432, 51995, 50805, 59796, 50805, 53776, 66048, 52437, 53776, 50364, 51015, 53889, 52844, 51995, 50805, 59796, 50805, 53776, 52462, 56526, 50818, 51658, 51239, 53127, 52210, 51995, 50805, 59796, 50805, 56526, 52396, 52234, 51152, 53889, 51187, 53127, 52349, 52687, 50805, 60151, 52472, 53127, 50818, 50799, 53741, 52423, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 53207, 50808, 53741, 57649, 52437, 52595, 50808, 53207, 52423, 53889, 52844, 52660, 50805, 61166, 50805, 52383, 50808, 52595, 57649, 52565, 52383, 52423, 51239, 53239, 52660, 50805, 61166, 50805, 52383, 50808, 56526, 52396, 52383, 54312, 56340, 53889, 51187, 53173, 52660, 50805, 61166, 50805, 52383, 50874, 56526, 50818, 71861, 57064, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 52383, 51123, 56526, 52437, 52383, 50364, 51015, 53889, 52793, 52209, 52660, 50805, 61166, 50805, 52383, 52462, 56526, 50818, 51658, 51239, 53127, 52210, 52660, 50805, 61166, 50805, 56526, 52396, 52234, 51152, 53889, 51187, 53173, 51758, 50805, 58634, 52472, 53127, 50818, 71861, 50808, 60808, 53669, 51239, 53127, 54925, 60808, 64301, 60808, 56166, 60808, 60461, 60808, 61132, 60808, 53203, 51995, 50805, 59796, 50805, 52383, 50808, 52595, 50808, 60808, 51987, 58158, 60808, 56856, 60808, 54104, 60808, 58830, 60808, 56982, 60808, 52762, 52595, 50808, 53207, 50808, 60808, 53669, 53889, 55882, 60808, 64015, 60808, 54956, 60808, 57531, 60808, 59278, 60808, 52953, 51995, 50805, 59796, 50805, 53207, 50808, 53776, 50808, 60808, 51987, 57201, 60808, 56516, 60808, 54288, 60808, 59370, 60808, 57405, 60808, 52766, 53776, 50808, 60808, 53669, 51239, 53127, 56484, 60808, 63442, 60808, 55262, 60808, 58900, 60808, 58616, 60808, 53162, 51995, 50805, 59796, 50805, 53776, 50808, 60808, 51539, 52539, 58500, 60808, 56892, 60808, 54368, 60808, 60044, 60808, 56918, 60808, 52802, 53776, 50854, 60808, 53669, 56340, 53889, 51187, 57150, 60808, 64314, 60808, 55097, 60808, 57690, 60808, 58677, 60808, 53017, 51995, 50805, 59796, 50805, 53776, 50822, 60808, 51539, 53127, 57430, 60808, 57059, 60808, 54794, 60808, 51539, 58077, 60808, 56172, 60808, 50829, 50799, 53776, 50912, 60808, 53669, 51239, 53127, 54925, 60808, 64301, 60808, 56572, 60808, 62307, 60808, 63266, 60808, 53023, 51995, 50805, 59796, 50805, 53776, 51123, 60808, 52499, 58158, 60808, 58659, 60808, 53109, 60808, 59768, 60808, 58990, 60808, 52641, 53776, 51550, 60808, 53617, 53889, 55882, 60808, 66518, 60808, 55028, 60808, 58027, 60808, 58734, 60808, 52767, 51995, 50805, 59796, 50805, 53776, 52462, 60808, 51916, 52539, 57201, 60808, 58662, 60808, 54483, 60808, 59131, 60808, 57667, 60808, 53018, 60808, 55170, 51239, 53127, 56484, 60808, 73052, 60808, 56432, 60808, 61118, 60808, 65672, 60808, 53594, 51995, 50805, 59796, 50805, 60808, 52465, 52539, 58500, 60808, 60402, 60808, 55721, 60808, 63612, 60808, 57855, 60808, 53166, 60808, 55259, 56340, 53889, 51187, 53127, 56086, 60808, 50908, 50452, 60808, 61362, 60808, 67827, 60808, 64360, 60808, 54059, 52687, 50805, 60151, 50805, 60808, 58820, 53127, 57430, 60808, 67076, 60808, 56232, 60808, 63940, 60808, 61969, 60808, 50982, 50799, 53741, 50808, 60808, 60600, 51239, 53127, 54925, 60808, 50982, 50416, 60808, 77298, 60808, 51004, 50418, 60808, 77940, 60808, 54303, 52660, 50805, 61166, 50805, 53207, 50808, 53741, 50808, 60808, 55712, 58158, 60808, 73435, 60808, 58574, 60808, 51129, 50424, 60808, 72375, 60808, 54953, 52595, 50808, 53207, 50808, 60808, 71073, 53889, 55882, 60808, 51129, 50428, 60808, 51258, 50429, 60808, 51258, 50430, 60808, 73501, 60808, 57617, 52660, 50805, 61166, 50805, 52383, 50808, 52595, 50808, 60808, 58334, 57201, 60808, 51258, 50434, 60808, 78592, 60808, 51306, 50436, 60808, 51306, 50437, 60808, 58930, 52383, 50808, 60808, 77339, 51239, 57014, 60808, 51693, 50440, 60808, 51693, 50441, 60808, 51693, 50442, 60808, 51693, 50443, 60808, 76027, 52660, 50805, 61166, 50805, 52383, 50808, 60808, 65160, 52539, 58500, 60808, 52445, 50446, 60808, 52445, 50447, 60808, 52445, 50448, 60808, 52445, 50449, 60808, 52445, 50450, 52383, 50854, 60808, 50359, 50985, 56340, 53889, 51187, 57150, 60808, 52611, 50452, 60808, 52611, 50453, 60808, 52611, 50454, 60808, 52611, 50455, 60808, 52611, 50456, 52660, 50805, 61166, 50805, 52383, 50874, 60808, 73678, 52539, 57430, 60808, 52231, 50458, 60808, 52231, 50459, 60808, 52231, 50460, 60808, 52231, 50461, 60808, 52231, 71861, 57064, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 52383, 51123, 56526, 52437, 52383, 50364, 51015, 53889, 52793, 52209, 52660, 50805, 61166, 50805, 52383, 52462, 56526, 50818, 51658, 51239, 53127, 52210, 52660, 50805, 61166, 50805, 56526, 52396, 52234, 51152, 53889, 51187, 53173, 51758, 50805, 58634, 52472, 53127, 50818, 71861, 50808, 53391, 51346, 53391, 51112, 53686, 51775, 53686, 51775, 53552, 53127, 52432, 51995, 50805, 59796, 50805, 52383, 50808, 52595, 57649, 52437, 52595, 50808, 53207, 50808, 53391, 51346, 53391, 51346, 53686, 51775, 53686, 51775, 52234, 50969, 52844, 51995, 50805, 59796, 50805, 53207, 50808, 53776, 57649, 52565, 53776, 50808, 53391, 50805, 53391, 50795, 53686, 50838, 53686, 50838, 53552, 53127, 52210, 51995, 50805, 59796, 50805, 53776, 50808, 56526, 52396, 53776, 54312, 56340, 53889, 51187, 53173, 51995, 50805, 59796, 50805, 53776, 50822, 53391, 51346, 53391, 51346, 53686, 51775, 53686, 51775, 65616, 50818, 51621, 50820, 50799, 53776, 57064, 51239, 53127, 52432, 51995, 50805, 59796, 50805, 53776, 51123, 53391, 51346, 53391, 51346, 53686, 51484, 53686, 51775, 50920, 52437, 53776, 50364, 51015, 53889, 52844, 51995, 50805, 59796, 50805, 53776, 52462, 53391, 50910, 53391, 50910, 53686, 50933, 53686, 51008, 56526, 52565, 53391, 51346, 53391, 51346, 53686, 51775, 53686, 51775, 53552, 53127, 52210, 51995, 50805, 59796, 50805, 56526, 52396, 52689, 51157, 53873, 51199, 52689, 50807, 53873, 50932, 52234, 51152, 53889, 51187, 53127, 52349, 52687, 50805, 60151, 52472, 53127, 50818, 50799, 53741, 50808, 52945, 51112, 52945, 51112, 53274, 51775, 53274, 51775, 53552, 53127, 52432, 52660, 50805, 61166, 50805, 53207, 50808, 53741, 57649, 52437, 52595, 50808, 53207, 50808, 52945, 51112, 52945, 51112, 53274, 51775, 53274, 51775, 52234, 50969, 52844, 52660, 50805, 61166, 50805, 52383, 50808, 52595, 57649, 52565, 52383, 50808, 53274, 51058, 52945, 50795, 52945, 50795, 53274, 50838, 53552, 53239, 52660, 50805, 61166, 50805, 52383, 50808, 56526, 52396, 52383, 54312, 56340, 53889, 51187, 53173, 52660, 50805, 61166, 50805, 52383, 50874, 52945, 51346, 52945, 51112, 53274, 51775, 53274, 51775, 56526, 50818, 71861, 57064, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 52383, 51123, 52945, 51346, 52945, 51112, 53274, 51484, 53274, 51484, 56526, 52437, 52383, 50364, 51015, 53889, 52793, 52209, 52660, 50805, 61166 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 19834, 4246, 10, 12280, 3275, 1725, 3109, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 9066, 814, 149, 63, 33215, 16739, 9, 230, 6, 272, 6, 230, 119, 1176, 406, 6, 272, 119, 1176, 406, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50416, 50624, 50417, 50624, 52292, 50874, 50418, 50624, 50419, 50624, 50420, 50624, 52049, 65370, 50624, 50423, 50624, 52242, 74570, 50624, 50425, 50624, 50426, 50624, 52443, 58519, 52049, 54221, 52242, 56149, 52292, 54123, 51975, 68861, 53571, 53103, 53029, 50810, 52342, 71715, 53249, 52843, 52416, 50886, 53296, 77635, 52044, 58759, 53029, 50810, 52416, 54900, 53249, 50810, 52342, 70395, 53571, 50810, 50799, 52205, 50874, 52550, 63118, 51975, 54448, 52044, 50874, 55411, 58861, 52416, 53881, 52342, 58519, 52044, 54221, 52416, 56149, 51975, 54123, 52205, 68861, 52550, 53103, 52573, 50810, 53382, 71715, 52740, 52843, 53640, 50886, 52292, 77635, 52662, 58759, 52573, 50810, 53640, 54900, 52740, 50810, 53382, 70395, 52550, 50810, 50799, 52662, 50874, 52292, 63118, 54066, 54448, 53382, 50874, 52740, 58861, 53640, 53881, 52662, 50874, 52292, 59910, 53382, 54221, 53640, 50874, 52049, 58952, 54066, 54123, 53382, 50874, 52242, 62532, 53640, 54653, 52662, 50874, 52550, 59956, 52205, 54385, 52342, 50874, 52573, 60489, 52662, 54900, 52205, 50874, 52740, 59097, 53640, 50874, 50799, 52662, 50874, 52292, 63118, 52205, 54448, 52342, 50874, 53249, 58861, 52416, 53881, 52044, 50874, 53895, 59910, 52342, 54221, 52416, 50874, 52550, 58952, 52205, 54123, 52342, 50874, 52573, 62532, 52416, 54653, 52044, 50874, 52740, 59956, 51975, 54385, 52797, 50874, 52292, 51134, 50453, 52044, 54900, 51975, 58223, 52416, 50874, 50799, 52044, 80253, 53029, 53066, 53249, 50810, 52049, 69596, 53895, 52654, 52342, 50886, 52550, 75322, 52416, 57860, 53249, 50810, 52342, 55544, 53895, 54112, 53029, 50810, 52205, 54123, 52416, 50874, 52550, 62532, 52044, 54653, 51975, 50874, 55342, 59956, 52797, 54385, 52242, 50844, 53571, 60489, 51975, 54194, 52797, 50844, 53029, 59097, 52044, 50844, 50799, 51975, 50844, 53249, 63118, 52416, 54351, 52044, 50844, 53895, 58861, 52342, 53450, 52416, 50844, 52550, 59910, 52205, 53513, 52342, 50844, 53249, 58952, 52662, 53614, 52205, 50844, 55342, 62532, 52416, 62801, 52342, 54305, 52205, 50844, 53571, 59956, 53382, 54004, 52416, 50834, 53029, 71474, 52342, 63075, 52416, 59631, 52044, 50844, 59112, 59097, 51975, 50844, 50799, 51975, 67075, 55411, 54611, 55061, 55797, 55342, 53906, 53571, 57544, 55061, 53911, 55342, 56529, 55411, 54181, 53029, 69692, 51975, 53103, 52044, 50810, 52550, 59956, 52416, 52843, 52342, 50810, 53895, 60489, 52044, 52863, 52416, 50810, 52550, 59097, 51975, 50810, 50799, 52573, 50854, 52797, 63118, 53029, 54611, 53249, 55797, 53895, 53906, 52550, 57544, 53249, 53911, 53895, 56529, 53029, 54181, 52573, 69692, 52044, 53103, 52416, 50810, 52049, 59956, 52342, 52843, 52205, 50810, 52292, 60489, 52416, 52863, 52342, 50810, 52049, 59097, 52044, 50810, 50799, 52550, 50854, 52416, 63118, 51975, 54611, 52443, 55797, 52242, 53906, 52049, 57544, 52443, 53911, 52242, 56529, 51975, 54181, 52443, 69692, 52205, 53103, 52342, 71413, 59956, 52416, 52843, 52044, 50810, 52443, 60489, 52342, 52863, 52416, 50810, 52049, 59097, 52205, 50810, 50799, 52242, 50810, 52342, 63118, 52044, 53066, 51975, 54347, 52443, 52654, 52242, 55730, 51975, 52658, 52443, 54112, 52044, 52729, 51975, 62532, 52662, 54746, 52205, 50854, 52443, 59956, 52342, 54276, 52416, 50854, 51975, 60489, 52205, 54424, 53731, 50854, 52242, 59097, 52662, 50854, 50799, 52443, 50810, 52205, 71423, 52895, 53066, 52044, 50810, 53731, 63867, 51975, 52654, 52443, 50810, 52205, 64627, 52044, 52658, 51975, 50810, 52662, 61647, 52895, 52729, 52044, 50810, 53640, 69692, 51975, 53103, 52443, 68310, 65586, 52242, 52843, 52049, 50810, 52416, 70842, 52443, 52863, 52242, 50810, 53731, 62533, 51975, 50810, 50799, 52443, 50810, 52205, 71423, 52242, 53066, 52049, 50810, 52797, 63867, 52292, 52654, 52740, 50810, 53634, 64627, 52049, 52658, 52292, 68310, 61647, 52242, 52729, 52049, 50810, 52416, 69692, 52292, 53103, 52740, 50810, 52342, 65586, 52573, 52843, 53882, 50810, 52205, 51134, 50453, 52740, 52863, 52573, 54678, 52292, 50810, 50799, 52740, 63118, 52242, 54351, 52797, 50844, 53249, 58861, 53634, 53450, 52049, 50813, 52044, 50844, 50428, 52292, 55863, 52797, 50844, 52049, 53387, 53634, 55167, 52242, 50844, 52242, 52729, 52292, 50810, 52662, 58709, 52740, 50810, 52205, 53783, 52573, 50810, 52342, 55876, 52550, 50810, 52662, 54004, 53895, 50810, 52205, 58305, 52573, 50810, 52342, 54194, 53882, 50810, 52416, 56569, 52740, 50810, 52205, 50844, 50799, 52573, 50810, 52342, 59991, 52292, 50810, 54066, 54351, 52740, 50810, 57557, 55266, 52049, 50810, 57082, 53450, 52292, 50810, 54066, 57250, 52242, 50810, 52662, 53513, 52049, 50810, 53640, 55167, 52443, 50810, 52205, 53614, 53634, 50844, 52242, 62532, 53640, 53783, 52662, 50844, 52573, 59956, 52205, 54004, 52342, 50834, 52242, 71474, 52205, 63075, 52342, 59631, 52416, 50844, 53249, 59097, 52044, 50844, 50799, 52044, 50844, 53296, 63118, 54066, 54351, 53382, 50844, 55061, 58861, 53640, 53450, 52662, 57250, 53382, 53513, 53640, 55167, 54066, 53614, 53382, 51742, 50441, 52242, 53103, 52049, 54803, 52292, 52843, 52740, 56366, 52049, 52863, 53322, 54678, 52242, 50810, 50799, 52049, 51452, 50417, 52662, 54351, 53640, 55266, 53382, 53450, 54066, 57250, 53640, 53513, 53382, 55167, 52662, 53614, 53640, 51742, 50441, 52573, 53103, 52740, 54803, 52292, 52843, 52049, 56366, 52740, 52863, 52292, 54678, 52573, 50810, 50799, 52740, 51452, 50417, 53382, 54351, 53640, 55266, 52662, 53450, 52205, 57250, 53640, 53513, 52662, 55167, 53382, 53614, 53640, 51742, 50441, 52049, 53103, 52292, 54803, 52740, 52843, 52573, 56366, 52292, 52863, 52740, 54678, 52049, 50810, 50799, 52292, 51452, 50417, 52205, 54351, 52662, 55266, 53640, 53450, 53382, 57250, 52662, 53513, 53640, 55167, 52205, 53614, 52662, 51742, 50441, 52550, 53103, 52573, 54803, 53334, 52843, 52292, 56366, 52573, 52863, 53334, 54678, 52550, 50810, 50799, 52573, 63118, 52342, 54351, 52205, 50844, 53334, 58861, 52662, 53450, 53640, 50844, 52573, 59910, 52205, 53513, 52662, 50844, 52550, 58952, 52342, 53614, 52205, 50844, 53296, 62532, 52662, 53783, 53640, 50844, 52049, 59956, 53382, 54004, 54066, 50844, 52292, 60489, 53640, 54194, 53382, 50844, 53334, 59097, 52662, 50844, 50799, 53640, 50844, 52573, 63118, 53382, 54351, 54066, 50844, 52443, 58861, 57082, 53450, 50624, 58683, 50844, 52242, 59910, 54066, 68313, 50624, 50432, 57082, 50844, 52049, 58952, 53382, 61842, 50624, 50438, 52242, 50810, 58683, 69151, 53029, 60696, 50624, 50444, 53249, 50810, 53382, 60785, 53296, 62924, 50624, 50450, 52662, 50834, 52550, 60142, 53640, 63075, 52662, 50955, 50453, 50624, 53249, 52863, 53296, 50810, 52205, 63316, 50624, 50459, 53029, 50810, 52342, 50844, 50799, 52342, 50844, 53249, 50845, 50416, 50624, 50417, 52895, 54351, 52044, 50844, 53571, 73551, 50624, 50423, 51975, 53450, 50624, 52443, 50844, 53029, 75241, 50623, 50428, 50623, 50429, 50623, 52044, 73418, 50623, 50431, 50623, 50432, 50623, 51975, 50844, 53249, 69116, 50623, 50434, 50623, 50435, 50623, 52895, 68522, 50623, 50437, 50623, 50438, 50623, 53296, 68310, 62090, 50622, 50440, 50622, 50441, 50622, 53029, 50810, 52416, 50844, 50442, 50622, 50443, 50622, 50444, 50622, 53249, 50810, 52342, 71696, 50622, 50446, 50622, 50447, 50622, 53296, 71413, 71765, 50622, 50449, 50622 ]
[ 0, 250, 15855, 8, 5175, 24904, 6, 42, 15352, 30054, 2214, 11, 12608, 3694, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 3722, 223, 34693, 4, 25837, 2987, 30, 10, 5540, 13305, 6, 24, 11498, 10, 182, 1769, 20889, 11, 155, 73, 306, 86, 6543, 4, 20, 15229, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 163, 119, 6, 230, 10431, 119, 406, 428, 245, 73, 387, 6, 163, 119, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50643, 50438, 50640, 51405, 51108, 51034, 51062, 51051, 51176, 52528, 50418, 51405, 71437, 51399, 59386, 50643, 51062, 51051, 50956, 52147, 50430, 51081, 68630, 51147, 58946, 77049, 50442, 76521, 50446, 51001, 51051, 51034, 50642, 51028, 51051, 50997, 52916, 50418, 65555, 50422, 50906, 59386, 50643, 50965, 51051, 50956, 52147, 50430, 65313, 50434, 50871, 58946, 74800, 50442, 63006, 50446, 65313, 51034, 50642, 50965, 51051, 50900, 52528, 50418, 65313, 50422, 50965, 59386, 50643, 65997, 50956, 52147, 50430, 50965, 62743, 50877, 59983, 71650, 50442, 50877, 65845, 63156, 51034, 50642, 66737, 51026, 52528, 50418, 63156, 50422, 50973, 58382, 50643, 66374, 50956, 52147, 50430, 50973, 62743, 50876, 56180, 51028, 51051, 50442, 65555, 50446, 51028, 51051, 51034, 50642, 65555, 51176, 52528, 50418, 51001, 64987, 51028, 55656, 50643, 64304, 50956, 52147, 50430, 51028, 62727, 51001, 56180, 50931, 70430, 50951, 62565, 51147, 50933, 51034, 50642, 51081, 50933, 51360, 51333, 50418, 51339, 64987, 51405, 55656, 50643, 51399, 50933, 51040, 52147, 50871, 52147, 50430, 51062, 62727, 51081, 56180, 51147, 51051, 50442, 77049, 50446, 76521, 51034, 50642, 51001, 51051, 51197, 51108, 50418, 51081, 71437, 51147, 59386, 50643, 77049, 51040, 51703, 50956, 51703, 50861, 51703, 50430, 50931, 68630, 51001, 58946, 51028, 51051, 50442, 65555, 50446, 73699, 51034, 50642, 50965, 51051, 51176, 51108, 50418, 73699, 68225, 59386, 50643, 51028, 51051, 50900, 51703, 50956, 51703, 50965, 51703, 50430, 51001, 62727, 50931, 58450, 76598, 50442, 51147, 65845, 51081, 50878, 51034, 50640, 75835, 51176, 51662, 50418, 51405, 71876, 51399, 57629, 50643, 51062, 50942, 50956, 51314, 50430, 51081, 66855, 51147, 55467, 50951, 66479, 62496, 50446, 70647, 51034, 50642, 72814, 50997, 51662, 50418, 59725, 50422, 50906, 55440, 50643, 74803, 50956, 51314, 50430, 58882, 50434, 50871, 55467, 50956, 66479, 57956, 50446, 58882, 51034, 50642, 74803, 50900, 51662, 50418, 58882, 50422, 50965, 55440, 50643, 57634, 50956, 51447, 50430, 50965, 66855, 50877, 58866, 67944, 50442, 50877, 57225, 60074, 51034, 50642, 50973, 50952, 51026, 51662, 50418, 50906, 56908, 50973, 56382, 50643, 66634, 50956, 51314, 50430, 50973, 64160, 50876, 55467, 51028, 66479, 59725, 50446, 72814, 51034, 50642, 59725, 51176, 51662, 50418, 51001, 63980, 51028, 55440, 50643, 59725, 50956, 51447, 50430, 51028, 61172, 51001, 55467, 62496, 50442, 50951, 62928, 51147, 50878, 51034, 50642, 51081, 50878, 51360, 51097, 50418, 51339, 71876, 51405, 57629, 50643, 51399, 50878, 51040, 51447, 50871, 51447, 50430, 51062, 61172, 51081, 55467, 51147, 66479, 50951, 62928, 62496, 51034, 50642, 70647, 51197, 50995, 50418, 51081, 63980, 51147, 55440, 50643, 67809, 51040, 51447, 50956, 51447, 50861, 51447, 50430, 51147, 61172, 51081, 55467, 51062, 66479, 51399, 62928, 51405, 50878, 51034, 50642, 51147, 50878, 51176, 50981, 50418, 51081, 63980, 51062, 55440, 50643, 51399, 50878, 50900, 51314, 50956, 51314, 50965, 51314, 50430, 51405, 61172, 51339, 55467, 51487, 66479, 52128, 62928, 52052, 50878, 51034, 50640, 52357, 50878, 51176, 51662, 50418, 53919, 62270, 53684, 57499, 50643, 52357, 50925, 50956, 51447, 50430, 52052, 66855, 52128, 58927, 51487, 50942, 50442, 51339, 62928, 51405, 50878, 51034, 50642, 51399, 50878, 50997, 51662, 50418, 51062, 63980, 51081, 55440, 50643, 51147, 50878, 50956, 51447, 50430, 50951, 61172, 50931, 55467, 51001, 66479, 62496, 50446, 67809, 51034, 50642, 51147, 50878, 50900, 51662, 50418, 50951, 63980, 51147, 55440, 50643, 68717, 50956, 51314, 50430, 51147, 66855, 50999, 58927, 51081, 50925, 50442, 50999, 62150, 69955, 51034, 50642, 51220, 50830, 51026, 51692, 50418, 51081, 56908, 51220, 56382, 50643, 51062, 50897, 50956, 51314, 50430, 51220, 64160, 51062, 58927, 51399, 66479, 51062, 62928, 51399, 50878, 51034, 50642, 75835, 51176, 51677, 50418, 51405, 63980, 51399, 55440, 50643, 75835, 50956, 51080, 50430, 51399, 61172, 51405, 55467, 51339, 66479, 51487, 62928, 52128, 50878, 51034, 50640, 52052, 50878, 51360, 51108, 50418, 52956, 63980, 53919, 55440, 50643, 53684, 50878, 51040, 51490, 50871, 51490, 50430, 52357, 63125, 52052, 59577, 52128, 77376, 51487, 65845, 51339, 50959, 51034, 50642, 51405, 50959, 51197, 51108, 50418, 52052, 65023, 52128, 57630, 50643, 51487, 51008, 51040, 51490, 50956, 51490, 50861, 51490, 50430, 51339, 62743, 51405, 59983, 51399, 70430, 51062, 62565, 51081, 50933, 51034, 50642, 51147, 51051, 51176, 51333, 50418, 51062, 71437, 51081, 59386, 50643, 51147, 51051, 50900, 52212, 50956, 52212, 50965, 52212, 50430, 50951, 51142, 50434, 50931, 64147, 51001, 51142, 50442, 51028, 51142, 76495, 51210, 51034, 50640, 64041, 51503, 52431, 50418, 51001, 77862, 51028, 64586, 50642, 64041, 51176, 52212, 50430, 50906, 72215, 50965, 69658, 50989, 51210, 50442, 65471, 50446, 50956, 51210, 51034, 50639, 65471, 51360, 52431, 50418, 50965, 77862, 51028, 64586, 50640, 51040, 52147, 50968, 51447, 50430, 50965, 72215, 51028, 69658, 50973, 51210, 50442, 50965, 70270, 50973, 51210, 51034, 50643, 50906, 51210, 51966, 52431, 50418, 50968, 77862, 51001, 64586, 51028, 51210, 51378, 52147, 50430, 50973, 72215, 50906, 69658, 50965, 51210, 50442, 50989, 70270, 65471, 51034, 50640, 50956, 51210, 51324, 52431, 50418, 50989, 77862, 50973, 64586, 50641, 51086, 52147, 51001, 51447, 50430, 50989, 72215, 50973, 51210, 63808, 51210, 50442, 50989, 70270, 50906, 51210, 51034, 50643, 50965, 51210, 51841, 52431, 50418, 51001, 77862, 51028, 64586, 50973, 51210, 51315, 52212, 50430, 50906, 72215, 50965, 69658, 50989, 51210, 50442, 65471, 50446, 50956, 51210, 51034, 50639, 51040, 51210, 51234, 52431, 50418, 65471, 50422, 50906, 64586, 50641, 50997, 52147, 51028, 51447, 50430, 65471, 50434, 50906, 69658, 50965, 51210, 50442, 65471, 50446, 50965, 51210, 51034, 50643, 63207, 52046, 52431, 50418, 51028, 77862, 50973, 51210, 60564, 51210, 51197, 52147, 50430, 50965, 72215, 63207, 59419, 51210, 50442, 50956, 70270, 51040, 51210, 51034, 50638, 51086, 51210, 51503, 52431, 50418, 50956, 77862, 50965, 64586, 50640, 51176, 52147, 50973, 51447, 79471, 72215, 50965, 69658, 50989, 51142, 50442, 50956, 70270, 50989, 51210, 51034, 50640, 65471, 51360, 52431, 50418, 50965, 77862, 51028, 64586, 50641, 51040, 52147, 50968, 51447, 50430, 50965, 72215, 51028, 69658, 50973, 51142, 50442, 50965, 70270, 50973, 51210, 51034, 50638, 50968, 52026, 50295, 52528, 50418, 50906, 77862, 63207, 50426, 51001, 75865, 56515, 50430, 50906, 72215, 63207, 50438, 50951, 51108, 50442, 51028, 70270, 50906, 51210, 51034, 51147, 51051, 51176, 52528, 50418, 50643, 51220, 77862, 51081, 64586, 51147, 51210, 50430, 51114, 72215, 50968, 69658, 51001, 51210, 50442, 51028, 70270, 50906, 51210, 51034, 50973, 51210, 51324, 52528, 50418, 51001, 77862, 51028, 64586, 50973, 51210, 51378, 52212, 50430, 50906, 72215, 50965, 69658, 50989, 51210, 50442, 65471, 50446, 50956, 51210, 51034, 50640, 65471, 51360, 52528, 50418, 63207, 50422, 50906, 64586, 50638, 51026, 78172, 51447, 50430, 50906, 72215, 63207, 50438, 50641, 50906, 51210, 51378, 52011, 50442, 50989, 70270, 65471, 51034, 50643, 50956, 51210, 51324, 52528, 50418, 51001, 77862, 51028, 64586, 50973, 51210, 51378, 52212, 50430, 50906, 72215, 50965 ]
[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 381, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 9, 40286, 272, 6, 163, 6, 8, 381, 6, 278, 7, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 19, 10, 11602, 9, 11299, 27456, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 58060, 51804, 50292, 62643, 50902, 54818, 50876, 54937, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 58629, 50916, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50931, 51804, 50289, 55276, 50931, 55489, 50877, 51804, 50297, 61443, 50931, 58629, 50877, 55433, 50968, 51804, 50297, 50860, 52591, 50876, 51804, 50292, 54684, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50876, 51804, 50289, 55276, 50876, 55489, 50973, 51804, 50297, 61443, 50877, 55433, 50861, 51804, 50297, 50860, 52591, 50876, 51804, 50292, 62643, 50902, 54818, 50876, 54937, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 58629, 50916, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50931, 51804, 50289, 55276, 50931, 55489, 50877, 51804, 50297, 61443, 50931, 58629, 50877, 55433, 50968, 51804, 50297, 50860, 52591, 50876, 51804, 50292, 54684, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50876, 51804, 50289, 55276, 50876, 55489, 50973, 51804, 50297, 61443, 50876, 55433, 50902, 51804, 50297, 50860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 533, 7, 28, 341, 25, 10, 19834, 4, 85, 34, 10, 7212, 20889, 6, 16, 11, 5, 762, 9, 272, 538, 6, 8, 3905, 10, 33215, 16739, 9, 211, 406, 6, 230, 119, 1176, 406, 6, 211, 6, 272, 6, 8, 83, 4, 20, 15229, 7630, 6568, 10, 2933, 8, 15352, 30054, 5466, 6, 10686, 13, 10, 822, 50, 177, 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, 0, 0, 0, 0 ]

[ 54458, 50417, 52550, 50803, 52205, 51300, 50421, 52573, 59174, 52740, 60066, 52292, 57925, 52049, 52674, 52242, 52057, 52797, 50803, 52205, 51300, 50442, 51975, 57276, 52044, 59550, 52416, 62103, 52342, 58403, 52044, 52937, 72772, 52205, 51300, 50799, 52044, 62180, 51975, 59236, 52797, 59174, 52242, 60066, 52049, 57925, 73588, 52292, 75993, 52342, 52057, 72772, 52049, 50976, 50442, 52044, 57276, 69289, 53029, 76253, 52797, 62103, 52550, 50803, 52205, 51300, 50455, 52573, 52937, 52740, 50803, 50799, 52292, 62180, 52049, 59236, 52242, 57615, 52797, 50803, 52205, 51300, 50428, 51975, 57925, 52044, 52674, 52416, 52057, 52342, 60295, 52044, 57276, 72772, 52205, 51300, 50449, 52044, 62103, 51975, 52163, 52797, 52937, 74920, 50799, 52049, 62180, 73588, 52292, 50976, 50421, 52342, 57615, 72772, 52049, 50976, 50428, 52044, 52119, 69289, 53029, 75993, 52797, 52057, 69289, 52550, 51300, 50442, 52044, 57276, 52416, 57891, 52342, 62103, 52205, 52163, 52662, 52937, 54081, 50803, 53029, 51059, 51601, 53382, 62180, 54066, 59236, 52342, 57615, 52416, 60066, 52044, 52119, 52550, 50803, 52416, 51300, 50435, 52573, 57149, 52740, 60295, 52292, 57276, 52049, 57891, 52242, 62103, 52797, 50803, 52044, 58954, 51975, 52937, 52044, 51066, 51601, 52292, 62180, 52740, 59236, 52573, 57615, 52740, 51300, 50428, 52205, 52119, 52342, 52674, 52416, 57149, 52342, 60295, 52205, 59116, 73588, 52292, 51300, 50449, 52205, 62103, 52342, 52163, 52416, 52937, 66017, 51601, 51975, 62180, 52797, 51300, 50422, 52049, 57615, 52292, 60066, 52740, 52119, 52292, 52674, 52049, 57149, 74920, 51975, 51300, 50442, 52049, 59116, 52292, 57891, 52740, 53532, 52573, 52163, 52550, 52937, 53895, 50803, 52044, 50976, 51601, 53249, 62180, 53029, 50803, 52416, 72693, 53571, 57615, 55342, 50803, 52342, 65717, 55061, 52119, 72772, 55411, 51059, 50435, 52205, 57149, 52342, 60295, 52416, 59116, 66017, 53571, 76253, 51975, 53532, 52797, 50976, 53029, 51300, 50460, 66292, 51601, 53731, 62180, 52205, 58026, 52797, 57615, 52797, 50803, 53249, 51300, 50429, 51975, 52119, 52205, 58198, 53731, 57149, 52205, 60295, 51975, 59116, 69289, 53895, 51300, 50449, 52044, 53532, 52205, 52163, 53731, 58055, 66292, 51601, 52044, 60442, 66017, 52550, 51300, 50422, 52416, 57615, 53382, 53300, 54081, 52119, 53382, 58198, 52416, 57149, 72772, 52573, 51300, 50443, 53731, 59116, 54066, 57891, 53382, 53532, 54066, 52163, 53731, 58055, 53731, 50803, 52740, 51300, 51601, 52205, 60442, 54066, 58026, 53382, 51973, 54066, 53300, 52205, 52119, 66292, 53322, 51300, 50436, 52662, 57149, 54066, 60254, 53382, 59116, 54066, 52116, 52662, 53532, 73588, 52049, 51300, 50456, 54081, 58055, 66262, 50803, 51601, 71461, 60442, 66262, 58026, 54081, 51973, 54081, 50803, 52242, 51300, 50429, 53382, 57476, 66262, 58198, 71461, 57149, 66262, 60254, 53382, 59116, 53382, 50803, 52797, 51300, 50450, 54066, 53532, 66262, 57303, 71461, 58055, 66262, 50803, 51601, 54066, 60442, 51975, 50976, 57082, 51066, 50422, 53731, 51973, 52205, 50802, 52797, 65717, 54066, 59786, 53731, 50802, 52242, 50976, 50436, 53382, 62281, 54081, 50802, 52049, 50976, 50443, 54066, 61409, 53731, 50802, 52242, 58317, 52662, 55680, 52044, 50802, 52797, 50976, 50457, 54081, 58055, 51975, 50976, 52416, 50976, 51809, 57082, 60442, 54066, 50803, 52044, 72693, 53382, 51973, 54081, 50803, 52573, 65717, 52662, 57476, 53029, 50976, 52205, 52442, 50440, 52049, 60254, 53322, 59116, 52049, 52116, 53029, 53532, 53029, 57303, 53249, 58055, 77155, 51809, 53322, 60442, 52049, 52801, 53249, 51973, 53249, 53300, 53895, 57476, 52049, 58198, 53322, 62281, 52049, 60254, 53895, 52911, 52550, 58317, 53382, 50803, 57082, 53532, 54081, 50803, 54066, 50803, 52573, 51059, 50457, 73588, 53382, 58055, 66292, 54081, 50803, 55061, 50976, 51809, 53731, 50803, 52662, 60442, 53029, 50976, 52205, 52442, 50426, 52049, 53300, 53322, 57476, 52049, 58198, 53029, 62281, 53029, 60254, 53249, 52911, 52049, 52116, 53322, 58268, 52049, 57303, 53249, 58055, 53249, 50803, 51809, 53895, 60442, 52049, 52801, 53322, 51973, 52049, 58874, 53895, 57476, 52550, 50976, 50436, 53382, 50803, 57082, 62281, 54081, 50803, 54066, 50803, 52573, 51059, 50443, 73588, 53382, 52911, 66292, 54081, 50803, 55061, 58317, 53731, 50803, 52662, 58268, 54081, 50803, 53029, 50976, 52205, 50976, 50457, 54066, 58055, 53249, 50976, 53731, 50976, 51809, 52662, 50976, 50419, 53895, 50976, 52044, 71659, 54081, 58595, 52550, 50976, 52416, 50976, 50430, 53382, 57476, 54081, 50803, 52573, 51059, 50436, 52662, 62281, 66292, 55061, 50976, 50443, 53731, 52911, 53029, 50976, 52205, 58317, 54081, 72590, 53249, 50976, 51975, 50976, 50457, 52662, 50976, 50460, 53895, 50976, 52797, 50976, 51809, 52205, 50976, 50419, 74920, 52550, 71659, 69289, 52416, 51973, 52797, 50803, 66017, 52573, 51066, 50429, 74920, 51975, 57476, 77155, 52797, 50803, 55061, 50976, 50436, 53322, 50803, 52242, 62281, 52049, 51059, 59112, 51300, 50460, 53029, 50803, 52205, 51300, 51809, 53249, 60442, 53895, 52801, 52550, 51973, 52573, 53300, 52740, 57476, 52292, 50803, 52205, 51300, 50436, 52049, 62281, 52242, 60254, 52797, 52911, 51975, 52116, 52044, 58268, 52416, 50976, 50457, 52205, 58055, 66387, 52044, 50976, 51809, 52416, 60442, 66387, 51975, 71659, 52205, 51973, 73588, 52292, 50976, 50430, 52205, 57476, 66387, 52740, 50976, 50436, 52205, 62281, 73588, 52573, 50976, 50443, 54081, 52911, 53382, 50803, 52550, 51300, 50450, 52205, 58268, 52416, 57303, 51975, 56771, 77155, 51809, 52740, 60442, 55411, 65084, 53382, 58874, 54081, 57476, 53382, 57880, 52416, 62281, 72772, 52049, 51059, 50443, 52044, 52911, 54081, 52116, 52662, 58268, 54081, 50803, 53324, 50976, 50457, 52044, 56771, 66017, 52242, 51059, 51809, 51975, 60442, 52662, 52801, 54073, 51973, 73588, 52550, 50976, 50430, 51975, 57476, 69289, 52573, 51059, 50437, 52797, 62281, 52342, 52284, 52416, 52911, 66387, 52740, 58317, 52797, 58268, 52797, 50803, 52292, 51059, 50457, 52242, 56771, 66387, 51809, 52416, 52244, 66387, 53571, 71659, 52242, 51973, 55342, 50976, 52242, 50976, 50433, 52740, 50803, 53324, 51059, 50437, 52573, 62281, 52740, 52284, 55342, 52911, 55342, 52116, 56280, 58268, 52740, 57303, 52573, 56771, 52740, 50803, 51809, 56280, 52244, 56280, 52801, 54769, 56998, 52740, 58874, 52573, 57476, 52740, 57880, 54769, 62281, 53249, 60815, 57082, 52911, 54073, 50803, 53895, 50976, 50451, 54081, 58268, 73588, 52550, 50976, 50457, 53382, 56771, 54081, 50803, 52573, 50976, 51809, 54066, 50803, 58683, 52244, 53382, 50803, 57082, 50803, 52740, 51059, 50423, 54081, 50803, 54066, 56998, 73588, 53382, 50803, 55342, 50976, 50430, 54073, 50803, 54081, 56861, 52662, 50976, 53249, 51300, 50440, 73588, 57082, 51300, 50444, 52205, 52911, 52662, 57365, 51975, 58268, 72772, 55061, 51300, 50458, 52342, 56771, 54066, 50803, 52342, 51300, 51809, 53382, 52244, 54066, 52801, 52662, 56998, 73588, 53029, 51300, 50430, 54081, 56861, 66292, 54066, 51300, 50437, 52342, 62281, 52205, 52284, 52044, 52911, 66017, 55411, 51300, 50451, 52416, 58268, 53382, 50803, 52416, 51059, 50458, 54081, 56771, 53382, 50803, 52177, 52205, 52244, 73588, 53571, 51300, 50423, 52205, 56998, 52342, 58874, 52416, 56861, 52662, 57880, 51975, 53609, 53029, 50976, 51975, 72992, 77155, 52797 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 228, 438, 4781, 2088, 6757, 6, 38668, 2236, 6, 21072, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 17407, 30, 10, 16331, 33215, 16739, 9, 2060, 6, 163, 428, 6, 8, 12608, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50801, 71162, 50849, 51544, 63069, 51570, 58804, 51112, 52320, 51862, 51453, 51319, 51755, 50849, 52068, 51039, 50955, 51361, 51550, 51570, 52918, 51167, 52320, 51550, 51453, 51832, 51755, 52201, 50978, 51544, 51862, 53550, 59218, 51798, 58225, 51091, 53861, 80075, 50799, 55169, 69561, 52808, 77639, 74095, 54614, 50889, 51361, 54927, 52842, 54881, 53661, 51427, 50449, 54614, 52024, 52320, 51123, 51453, 51297, 56451, 51991, 63890, 50897, 51544, 52179, 53550, 58101, 51798, 53861, 51453, 51832, 55929, 52536, 50801, 55110, 77639, 51524, 51361, 50912, 53550, 76714, 51060, 52320, 50912, 51453, 52101, 65331, 52500, 63890, 50977, 51544, 51000, 51361, 51851, 53550, 60397, 65223, 58225, 51013, 53673, 51453, 51128, 55970, 52536, 54614, 50917, 54383, 63524, 54260, 79604, 52842, 51203, 51039, 50984, 50425, 54614, 51124, 51361, 52134, 50437, 54614, 50952, 54383, 52149, 53550, 60397, 50967, 50441, 52842, 51775, 50449, 54614, 52024, 52320, 51008, 56451, 52500, 50801, 71162, 50849, 51544, 63069, 51570, 58804, 51112, 52320, 51022, 51453, 51252, 55929, 52500, 50801, 52808, 50878, 51039, 50955, 51361, 51550, 53550, 63576, 50805, 52320, 51550, 51453, 51832, 65331, 52500, 50801, 52201, 50959, 51544, 51862, 53550, 58101, 55178, 58225, 51073, 53861, 51453, 59789, 52842, 50925, 55970, 53435, 52277, 53095, 52808, 67972, 54383, 50807, 51039, 54325, 52277, 50889, 51361, 54793, 52842, 51661, 50804, 64512, 50830, 52320, 51123, 51453, 51297, 75698, 75582, 71162, 53466, 51308, 51591, 50791, 63069, 50438, 51512, 51675, 50804, 60837, 51060, 50449, 51561, 50889, 52320, 51862, 50455, 52477, 51116, 51453, 51252, 50461, 51964, 51675, 51755, 52808, 58793, 51561, 51419, 50791, 59780, 51512, 63325, 51550, 51570, 52918, 51167, 52320, 51550, 51453, 51832, 78323, 51894, 50801, 52201, 58632, 51512, 77580, 75594, 51847, 58379, 59218, 69451, 52477, 51177, 52320, 55293, 52746, 51077, 53861, 65364, 65849, 54260, 77639, 67360, 51099, 71992, 51512, 51412, 50791, 50912, 53550, 79108, 54630, 51308, 50914, 52320, 51123, 51453, 51297, 75698, 51894, 54383, 50361, 50413, 54614, 55856, 52901, 52337, 50801, 71162, 53466, 51308, 51945, 50791, 63069, 50438, 51512, 51675, 50804, 60837, 60866, 51561, 59348, 51862, 50456, 52477, 66741, 51252, 50461, 51964, 51696, 51755, 52808, 58793, 51561, 70504, 59780, 51512, 51103, 50791, 51550, 53550, 63576, 50805, 52320, 51550, 51453, 51832, 50457, 51561, 52462, 78323, 52536, 55334, 51243, 52842, 52151, 50801, 52201, 58632, 51144, 51675, 50791, 75594, 51847, 51351, 50791, 51626, 58647, 52477, 52839, 68935, 52746, 51036, 51453, 50941, 65364, 51103, 54614, 52337, 52277, 52335, 53853, 76914, 52808, 53932, 51561, 51295, 50791, 55100, 51099, 60837, 50912, 53550, 64512, 54630, 51512, 50924, 52320, 51123, 51453, 51297, 50461, 54733, 52536, 50799, 54383, 60130, 52901, 52096, 63890, 55640, 51308, 51941, 50791, 52179, 50437, 51512, 51675, 53550, 56958, 69451, 51561, 51003, 52320, 55293, 51706, 51432, 52477, 51884, 50791, 51832, 50461, 51964, 51036, 51755, 53538, 53932, 51561, 70504, 77692, 51512, 79000, 50912, 53550, 76714, 51060, 52320, 50912, 51453, 52101, 50457, 51561, 54146, 50461, 53646, 51036, 52842, 53588, 55334, 51671, 51755, 53710, 60086, 51561, 50865, 51512, 51291, 50791, 65472, 51144, 51806, 51361, 70511, 51561, 51204, 50804, 60397, 65223, 51847, 50991, 53673, 50456, 51561, 52063, 66267, 50461, 54614, 51671, 53853, 51313, 79921, 52536, 52277, 51313, 51715, 51015, 61195, 51706, 51351, 50791, 55070, 51561, 61271, 51099, 56958, 51832, 51570, 57439, 51175, 50441, 51706, 60226, 51512, 51016, 52320, 51008, 75698, 51103, 54383, 50361, 50413, 52901, 52337, 54614, 55856, 50801, 71162, 67381, 51522, 52500, 50426, 51308, 73653, 63069, 50438, 51512, 51675, 50804, 60837, 60866, 51561, 51204, 50791, 51862, 50456, 52477, 60596, 51252, 50461, 51461, 53435, 51964, 51036, 51755, 50849, 52068, 51039, 50955, 50421, 51561, 70705, 51512, 51291, 63353, 51570, 52918, 51167, 52320, 51550, 51453, 51832, 65331, 53435, 53646, 52069, 55334, 51243, 52842, 52151, 50791, 65220, 52483, 51144, 51675, 73216, 51847, 51204, 50804, 59218, 51798, 52477, 51100, 53861, 50456, 52746, 53363, 53861, 55970, 53435, 51706, 51346, 54614, 51445, 52277, 52335, 53853, 76914, 54260, 53932, 51561, 67141, 54325, 51099, 54777, 51512, 58101, 50912, 53550, 64512, 54630, 51308, 51354, 52320, 51123, 51453, 51297, 56451, 52369, 54733, 51307, 54614, 51359, 54383, 52204, 52901, 75195, 71162, 53466, 51308, 51677, 50791, 63069, 50438, 51512, 77580, 58804, 51112, 50449, 51561, 51204, 52320, 51022, 50455, 52477, 51157, 51453, 51252, 50461, 53646, 51655, 65331, 53435, 52842, 51353, 55334, 76914, 52808, 58793, 51847, 55859, 68313, 51144, 51161, 51361, 51550, 53550, 63576, 50805, 50443, 51847, 51749, 50450, 52477, 73844, 51550, 51453, 51832, 50461, 52277, 52096, 55970, 53435, 52746, 56736, 54614, 52096, 53853, 52122, 50801, 52201, 58632, 51706, 51542, 50791, 51862, 50437, 73905, 51570, 51626, 50967, 50443, 51561, 51645, 50449, 51706, 51484, 52320, 68935, 51512, 51112, 51453, 63729, 51099, 51112, 55970, 61413, 52808, 53932, 51560, 50889, 51561, 55637, 74308, 51706, 52097, 51361, 66186, 51560, 51541, 53550, 64512, 50830, 52320, 51123, 51453, 51297, 56451, 52369, 54733, 51307, 54614, 51151, 54383, 52204, 52901, 75195, 71162, 53466, 51308, 51518, 50791, 63069, 50438, 51561, 75263, 58804, 68390, 52477, 51351, 50791, 51862, 51453, 51319, 50461, 53646, 51264, 65331, 53435, 52842, 51714, 55334, 69880, 50849, 52068, 50420, 51847, 55859, 59780, 51144, 51103, 50791, 51550, 51570, 52918, 68722, 51847, 51267, 50449, 52477, 50845, 52320, 51550, 51453, 51832, 50459, 51706, 55277, 50460, 51561, 53295, 50461, 52746, 51422, 54614, 52096, 52277, 51801, 53853, 51717, 55970, 53435, 51099, 55428, 50801, 52201, 50978, 51544, 51862, 53550, 59218, 51798, 53861, 80075, 51755, 52808, 77639, 74308, 50801, 51060, 51361, 65219, 51553, 51033, 51570, 53661, 51427, 50443, 51224, 68280, 51289, 66363, 51123, 51453, 51297, 56451, 51685, 54733, 51189, 51561, 51103, 51512, 51591, 51153, 51161, 53582, 51264, 52689, 52208, 54669, 52570, 57198, 53073, 54614, 51359, 54383, 52121, 52901, 73840, 63677, 51158, 51335, 51060, 51544, 54618, 51361, 51550, 50437, 54733, 51244, 53550, 56958, 51095, 50443, 51561, 51775, 50449, 51522, 51124, 51512, 51194, 52320, 55675, 79930, 73909, 50461, 52318, 52500, 51512, 51358, 51777, 51358, 63716, 51696, 50680, 50281, 51655, 55102, 51469, 62673, 51472, 55334, 52250, 52842, 51717, 50801, 73653, 50873, 51544, 51210, 51361, 52179, 53550, 60194, 51111, 52320, 51008, 56672, 51142, 50461, 51144, 51661, 51308, 51077, 51777, 51358, 52551, 51655, 54204, 51977, 53038, 51264, 53391, 52570, 53853, 59578, 54881, 51158, 51544, 52179, 51361, 51524, 53550, 58415, 51918, 51144, 51253, 50449, 51261, 69785, 51308, 52063, 50801, 52201, 55345, 51777, 51524, 50461, 51560, 51941, 51639, 52369, 57279, 52208, 53873, 51655, 66301, 51896, 51308, 51685, 75227, 51469, 52277, 75195, 63677, 62192, 53853, 51264, 56462, 51469, 51544, 51252, 51361, 51269, 53550, 71496, 65223, 51098, 59961, 54194, 51561, 50366, 51225, 68752, 51512, 51358, 53582, 51469, 52689, 51469, 57198, 51492, 56451, 52311, 54733, 51446, 51561, 51077, 51153, 51941, 54614, 51894, 52901, 51538 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 42, 8787, 2125, 16, 10, 28252, 9, 8597, 6, 31, 657, 7, 15073, 6, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 163, 538, 8, 3185, 30, 10, 182, 1769, 20889, 6, 24, 1575, 10, 6878, 11739, 9, 3459, 9590, 6, 13305, 6, 6755, 12547, 6, 8, 21072, 4, 20, 16331, 33215, 16739, 9, 381, 6, 274, 10431, 6, 8, 163, 3639, 7, 63, 13363, 28191, 2868, 6, 442, 24, 10, 3127, 24111, 4388, 676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50643, 57448, 50796, 50799, 56617, 53002, 52332, 53002, 52255, 53002, 52187, 53002, 50796, 50796, 50796, 57289, 50805, 51147, 50805, 51315, 51313, 55131, 78264, 50973, 53466, 50968, 51514, 50324, 53308, 50973, 50873, 56296, 64050, 51001, 76919, 53969, 50973, 55125, 51001, 76919, 55345, 50973, 50901, 51817, 51591, 58540, 66386, 51644, 50296, 51714, 57340, 53172, 51028, 66386, 54342, 50877, 53264, 51001, 68800, 50845, 52657, 56306, 50973, 54230, 51001, 76724, 50795, 51817, 52809, 51415, 55346, 51324, 64449, 50849, 51817, 50889, 57289, 51458, 50324, 50805, 51315, 74905, 50973, 50849, 51817, 51623, 50426, 50968, 51514, 50324, 51736, 50973, 54233, 51001, 68800, 55945, 50973, 54230, 51001, 68800, 50845, 51271, 57414, 50973, 50849, 58540, 65064, 51644, 50296, 51714, 51019, 51605, 57340, 55035, 51028, 61527, 54342, 50877, 53264, 51001, 68800, 51918, 50973, 55125, 51001, 51644, 50322, 55670, 51324, 64449, 50805, 52657, 50879, 54852, 64651, 69748, 51218, 59439, 51655, 52657, 51790, 56440, 54851, 51028, 65064, 54259, 51315, 58800, 54233, 50968, 64510, 75125, 71158, 51028, 50845, 52022, 56160, 51399, 51203, 50999, 51480, 51817, 53702, 50968, 50879, 56296, 50905, 54852, 65631, 50795, 51324, 51127, 62146, 51655, 56296, 51183, 56440, 54851, 51028, 61552, 54729, 50877, 52322, 51324, 67430, 71606, 51608, 50322, 51013, 51415, 50918, 50449, 50973, 56508, 51197, 66714, 51619, 50322, 77204, 51147, 52961, 51324, 66083, 50873, 57289, 51644, 50325, 51644, 50296, 51295, 56617, 53002, 51817, 52821, 50420, 50973, 54335, 50968, 51644, 50325, 54342, 51324, 66228, 54137, 50968, 51644, 50324, 51644, 50296, 64632, 50973, 54323, 50968, 51644, 50324, 54509, 51324, 66228, 50901, 57289, 64510, 51568, 50296, 70506, 50973, 55035, 50968, 68502, 54777, 51324, 68219, 53470, 50968, 51458, 50324, 51458, 50296, 72758, 50973, 54230, 50968, 79111, 53702, 51324, 74690, 50849, 55524, 51162, 50965, 51608, 50296, 51991, 64401, 51480, 56248, 51411, 50432, 50989, 51377, 50438, 50973, 51400, 50968, 51377, 50444, 50965, 74190, 50965, 51025, 50973, 67768, 51315, 64233, 50849, 56178, 51377, 50989, 51162, 51315, 51714, 64401, 51112, 56040, 51411, 50432, 50989, 51400, 50438, 50973, 51411, 51001, 60182, 50989, 51112, 62291, 59625, 55764, 51197, 62530, 65481, 50923, 55524, 60781, 52370, 50293, 51605, 61683, 54851, 50916, 52605, 50965, 53470, 51028, 65544, 55945, 50965, 55125, 50965, 64651, 55670, 51360, 63254, 50905, 55524, 57669, 78418, 51115, 61683, 53466, 50989, 56036, 54259, 51279, 51644, 50305, 53913, 50956, 63142, 51568, 50291, 64632, 51086, 54323, 50956, 69474, 51923, 51324, 51514, 50303, 50893, 55524, 51162, 50965, 51608, 50296, 51991, 64401, 51480, 56248, 51411, 50432, 50989, 51377, 50438, 50973, 51400, 50968, 51400, 50444, 50965, 68390, 50965, 51346, 50973, 51345, 50456, 51315, 64233, 50893, 56178, 51112, 50989, 51227, 51315, 51714, 64401, 51112, 56040, 51411, 50432, 50989, 51400, 50438, 50973, 51411, 51001, 60182, 50989, 51112, 62291, 51112, 50989, 75581, 51197, 62530, 56036, 50806, 55524, 62490, 51442, 50293, 51103, 61683, 55035, 50916, 54259, 50965, 53470, 50877, 65631, 50805, 51279, 51141, 65827, 55125, 50877, 69791, 55670, 51279, 62430, 50905, 55524, 72169, 51455, 50291, 51295, 64401, 53770, 50916, 71274, 52605, 51324, 51644, 50303, 53470, 50956, 60747, 51073, 51324, 51218, 50444, 51086, 54230, 50956, 51227, 50989, 57175, 51324, 70167, 50901, 55524, 65481, 52370, 50289, 51364, 61683, 54851, 50916, 56876, 51736, 51279, 76451, 52446, 50989, 56190, 51519, 50291, 51115, 61614, 54230, 50989, 65872, 53702, 51324, 71321, 50873, 57190, 58654, 51519, 50296, 51218, 56440, 53770, 50965, 64449, 52605, 51324, 61027, 52446, 50965, 51346, 50876, 51345, 51176, 60865, 50956, 52596, 50965, 68422, 77002, 51197, 64742, 50849, 54852, 62036, 75291, 51115, 56440, 53172, 50877, 68434, 54259, 51315, 61027, 53470, 50989, 64449, 51519, 50303, 51295, 61614, 55125, 50989, 62879, 53586, 51378, 71321, 50845, 55524, 59023, 51568, 50296, 51310, 64401, 53770, 50916, 59389, 53387, 51324, 51644, 50303, 54137, 50916, 65632, 51568, 50296, 64632, 51086, 54323, 50916, 65632, 54509, 51324, 51644, 50303, 50905, 55524, 57069, 51568, 50296, 51295, 64401, 53890, 50916, 57069, 54259, 51324, 50805, 51086, 50795, 59089, 50991, 51456, 59714, 52057, 50916, 56962, 51442, 50296, 51364, 50441, 56296, 52195, 51224, 61411, 52284, 51086, 64800, 58731, 52116, 50916, 52370, 50312, 64800, 58731, 53532, 51326, 58731, 52163, 51324, 79541, 51012, 51289, 62310, 52937, 51289, 62310, 50803, 55524, 51112, 50965, 52530, 50296, 52536, 51019, 52379, 50798, 52319, 52410, 51086, 69472, 54158, 54851, 50916, 51411, 50856, 52030, 50989, 51377, 50856, 55122, 50973, 51400, 50968, 51400, 50816, 54158, 52313, 50965, 51112, 50856, 55149, 50965, 51346, 50973, 51345, 50856, 52325, 51315, 64233, 62417, 50879, 56178, 51112, 50989, 51227, 51315, 51714, 51019, 54055, 50798, 54158, 52410, 51086, 59554, 54158, 54851, 50956, 51411, 50856, 52030, 50989, 51400, 50856, 55122, 50973, 51411, 51001, 62390, 54158, 52313, 50989, 51112, 50856, 55149, 50956, 59625, 62417, 52325, 51197, 62530, 65481, 50923, 51133, 54158, 50879, 55524, 60781, 52370, 50293, 51605, 52022, 52379, 50798, 54158, 52410, 51040, 54035, 54158, 54851, 50916, 60095, 52030, 50965, 57594, 55122, 51028, 65544, 57353, 54158, 52313, 50965, 59384, 55149, 50965, 64651, 59384, 52325, 51360, 63254, 58377, 50879, 55524, 58696, 78418, 51115, 51011, 70312, 54158, 52410, 51040, 53834, 54158, 54851, 50989, 56036, 60095, 52030, 51279, 51644, 50305, 50892, 51011, 59540, 63363, 51186, 52057, 50956, 63142, 51568, 50291, 51115, 51415, 77068, 54158, 52313, 51086, 58377, 55149, 50956, 69474, 50795, 51205, 62630, 50802, 51647, 52325, 51324, 51514, 50303, 50893, 51228, 58052, 66458, 51205, 50950, 55524, 51112, 50965, 52530, 50296, 51991, 51019, 52379, 50798, 54158, 52410, 51086, 51480, 50798, 54158, 54851, 50916, 51411, 50856, 52030, 50989, 51377, 50856, 55122, 50973, 51400, 50968, 51400, 50816, 54158, 52313, 50965, 51112, 50856, 55149, 50965, 51346, 50973, 51345, 50856, 52325, 51315, 64233, 62417, 50879, 56178, 51112, 50989, 51227, 51315, 51714, 51019, 54055, 50798, 54158, 52410, 51086, 59554, 54158, 54851, 50956, 51411, 50856, 52030, 50989, 51400, 50856, 55122, 50973, 51411, 51001, 62390, 54158, 52313, 50989, 51112, 50856, 55149, 50956, 51112, 50989, 51227, 50856, 52325, 51197, 62530, 56036, 50806, 51105, 74314, 50879, 55524, 62490, 51442, 50293, 51103, 51228, 77609, 54158, 52410, 51040, 55998, 54158, 54851, 50916, 60095, 52030, 50965, 57594, 55122, 50877, 65631, 50805, 51279, 51141, 51011, 51761, 50816, 54158, 52313, 50916, 59384, 55149, 50877, 69791, 59384, 52325, 51279, 62430, 50905, 51011, 74314, 50879, 55524, 72169, 51455, 50291, 51295, 51415, 77609, 54158, 52410, 51086, 54788, 54158, 65393, 50798, 52038, 50916, 71274, 52504, 54158, 52030, 51324, 51644, 50303, 57594, 50879, 56215, 52125, 50956, 60747, 51073, 51324, 51218, 51415, 51653, 50816, 52319, 56119, 51553, 52313, 51086, 60095, 67636, 52646, 51745, 51456, 52175, 50956, 51227, 50989, 78678, 55680, 51224, 52325, 51324, 70167, 50901, 51326, 54158, 66458, 51326, 50802, 55524, 65481, 52370, 50289, 51364, 51069, 70312, 52319, 52410, 51040, 56473, 54851, 50916 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 8, 5679, 26709, 5466, 4, 20, 30062, 620, 7085, 12280, 642, 6, 9590, 3863, 6, 17691, 28430, 6, 6755, 12547, 6, 8, 326, 5638, 18026, 35810, 561, 10, 5797, 990, 1506, 9, 19448, 34879, 4, 8504, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 23, 41, 178, 5285, 20889, 6, 4246, 10, 33215, 13931, 9, 163, 119, 6, 83, 6, 274, 10431, 119, 6, 8, 3676, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50796, 73877, 70325, 51357, 74159, 74159, 50841, 51678, 50841, 51678, 56933, 51357, 74159, 50841, 51678, 60941, 61534, 50933, 57215, 50933, 50419, 51357, 74159, 50841, 51678, 53223, 51357, 50829, 52091, 50829, 51678, 56856, 53748, 50933, 51357, 50829, 52091, 50829, 51678, 54104, 51357, 50829, 52091, 50829, 51678, 56982, 51357, 50829, 52091, 50829, 51678, 52762, 52650, 50933, 51357, 50835, 52091, 50835, 51678, 68564, 51357, 50835, 52091, 50835, 51678, 55001, 51357, 50835, 52091, 50835, 51678, 60443, 54029, 50933, 50431, 51357, 50835, 52091, 50835, 51678, 52818, 51357, 50835, 52091, 50835, 51678, 59347, 53260, 50933, 51357, 50825, 52091, 50825, 51678, 53439, 51357, 50825, 52091, 50825, 51678, 57514, 51357, 50825, 52091, 50825, 51678, 52742, 53039, 50933, 51357, 50825, 52091, 50825, 51678, 62969, 51357, 50825, 52091, 50825, 51678, 54905, 51357, 50837, 52091, 50837, 51678, 59457, 53260, 50933, 50443, 51357, 50837, 52091, 50837, 51678, 53027, 51357, 50837, 52091, 50837, 51678, 57785, 54029, 50933, 51357, 50837, 52091, 50837, 51678, 54284, 51357, 50863, 52091, 50863, 51678, 57989, 51357, 50863, 52091, 50863, 51678, 52805, 52650, 50933, 51357, 50863, 52091, 50863, 51678, 70738, 51357, 50863, 52091, 50863, 51678, 56782, 51357, 50863, 52091, 50863, 51678, 60535, 53748, 50933, 50455, 51357, 50870, 52091, 50870, 51678, 53553, 51357, 50870, 52091, 50870, 51678, 61010, 57215, 50933, 51357, 50870, 52091, 50870, 51678, 55397, 51357, 50870, 52091, 50870, 51678, 57015, 51357, 50870, 52091, 50870, 51678, 50870, 50799, 53958, 51080, 61534, 50933, 51357, 50891, 52091, 50891, 51678, 50891, 70370, 52188, 60819, 52188, 50416, 51357, 50891, 52091, 50891, 51678, 61252, 51357, 50891, 52091, 50891, 51678, 70637, 57215, 50933, 50419, 51357, 50891, 52091, 50891, 51678, 53738, 51357, 50891, 52091, 50891, 51678, 58640, 53748, 50933, 51357, 50891, 52091, 50891, 51678, 54951, 51357, 50891, 52091, 50891, 51678, 59509, 51357, 50891, 52091, 50891, 51678, 52966, 52650, 50933, 51357, 50891, 52091, 50891, 51678, 74031, 51357, 50891, 52091, 50891, 51678, 57845, 51357, 50891, 52091, 50891, 51678, 62618, 54029, 50933, 50431, 51357, 50891, 52091, 50891, 51678, 53670, 51357, 50891, 52091, 50891, 51678, 59383, 53260, 50933, 51357, 50891, 52091, 50891, 51678, 55799, 51357, 50891, 52091, 50891, 51678, 58286, 51357, 50891, 52091, 50891, 51678, 53115, 52882, 50838, 55039, 50933, 51093, 50891, 52091, 50891, 51701, 76779, 51093, 50891, 52091, 50891, 51701, 57502, 51093, 50891, 52091, 50891, 51701, 67387, 53715, 50933, 50443, 51093, 50891, 52091, 50891, 51701, 53384, 53839, 50838, 51093, 50891, 52091, 50891, 51701, 60402, 53748, 50933, 51093, 50891, 52091, 50891, 51701, 55721, 51093, 50891, 52091, 50891, 51701, 57855, 51093, 50891, 52091, 50891, 51701, 52846, 52203, 50838, 52890, 50933, 51093, 50891, 52091, 50891, 51701, 69909, 51093, 50891, 52091, 50891, 51701, 58207, 51093, 50891, 52091, 50891, 51701, 62476, 52566, 50933, 50455, 51093, 50891, 52091, 50891, 51701, 53556, 52614, 50838, 51093, 50891, 52091, 50891, 51701, 61034, 53260, 50933, 51093, 50891, 52091, 50891, 51701, 56047, 51093, 50891, 52091, 50891, 51701, 56772, 51093, 50891, 52091, 50891, 51701, 50891, 50799, 53958, 51283, 61534, 50933, 51357, 50891, 52091, 50891, 51678, 50891, 50416, 51357, 50891, 52091, 50891, 51678, 61252, 51357, 50891, 52091, 50891, 51678, 70637, 57215, 50933, 50419, 51357, 50891, 52091, 50891, 51678, 53738, 51357, 50891, 52091, 50891, 51678, 58640, 53748, 50933, 51357, 50891, 52091, 50891, 51678, 54951, 51357, 50891, 52091, 50891, 51678, 59509, 51357, 50891, 52091, 50891, 51678, 52966, 52650, 50933, 51357, 50891, 52091, 50891, 51678, 74031, 51357, 50891, 52091, 50891, 51678, 57845, 51357, 50891, 52091, 50891, 51678, 62618, 54029, 50933, 50431, 51357, 50891, 52091, 50891, 51678, 53670, 52203, 51006, 51357, 50891, 52091, 50891, 51678, 59383, 53260, 50933, 51357, 50891, 52091, 50891, 51678, 55799, 51357, 50891, 52091, 50891, 51678, 58286, 51357, 50891, 52091, 50891, 51678, 53115, 53958, 51283, 53039, 50933, 51357, 50891, 52091, 50891, 51678, 76779, 51357, 50891, 52091, 50891, 51678, 57502, 51357, 50891, 52091, 50891, 51678, 67387, 53260, 50933, 50443, 51357, 50891, 52091, 50891, 51678, 53384, 51357, 50891, 52091, 50891, 51678, 60402, 54029, 50933, 51357, 50891, 52091, 50891, 51678, 55721, 51357, 50891, 52091, 50891, 51678, 57855, 51357, 50891, 52091, 50891, 51678, 52846, 52650, 50933, 51357, 50891, 52091, 50891, 51678, 69909, 51357, 50891, 52091, 50891, 51678, 58207, 51357, 50891, 52091, 50891, 51678, 62476, 53748, 50933, 50455, 51357, 50891, 52091, 50891, 51678, 53556, 52203, 51006, 51357, 50891, 52091, 50891, 51678, 61034, 57215, 50933, 51357, 50891, 52091, 50891, 51678, 56047, 51357, 50891, 52091, 50891, 51678, 56772, 51357, 50891, 52091, 50891, 51678, 50891, 50799, 53958, 51283, 61534, 50933, 51357, 50928, 52091, 50891, 51678, 50891, 50416, 51357, 50928, 52091, 50891, 51678, 61252, 51357, 50928, 52091, 50891, 51678, 70637, 57215, 50933, 50419, 51357, 50928, 52091, 50891, 51678, 53738, 51357, 50928, 52091, 50891, 51678, 58640, 53748, 50933, 51357, 50928, 52091, 50891, 51678, 54951, 51357, 50928, 52091, 50891, 51678, 59509, 51357, 50928, 52091, 50891, 51678, 52966, 52650, 50933, 51357, 50928, 52091, 50891, 51678, 74031, 51357, 50928, 52091, 50891, 51678, 57845, 51357, 50928, 52091, 50891, 51678, 62618, 54029, 50933, 50431, 51357, 50928, 52091, 50891, 51678, 53670, 52882, 51006, 51357, 50928, 52091, 50891, 51678, 59383, 53260, 50933, 51357, 50928, 52091, 50891, 51678, 55799, 51357, 50928, 52091, 50891, 51678, 58286, 51357, 50928, 52091, 50891, 51678, 53115, 52203, 50838, 53748, 50933, 51165, 50928, 53496, 50891, 52091, 76779, 51165, 50928, 53496, 50891, 52091, 57502, 51165, 50928, 53496, 50891, 52091, 67387, 53260, 50933, 50443, 51165, 50928, 53496, 50891, 52091, 53384, 52882, 50838, 51165, 50928, 53496, 50891, 52091, 60402, 55802, 50827, 51165, 50928, 53496, 50891, 52091, 55721, 51165, 50928, 53496, 50891, 52091, 57855, 51165, 50928, 53496, 50891, 52091, 52846, 52795, 50838, 51113, 50928, 52233, 50891, 52091, 69909, 51113, 50928, 52233, 50891, 52091, 58207, 51113, 50928, 52233, 50891, 52091, 61733, 51113, 50928, 52233, 50891, 52091, 53556, 52203, 50838, 51113, 50928, 54549, 50891, 52606, 61034, 51113, 50928, 54549, 50891, 52606, 56047, 51113, 50928, 54549, 50891, 52606, 56772, 51113, 50928, 54549, 50891, 52606, 50891, 50799, 52882, 51680, 50697, 50339, 50864, 51088, 50928, 54549, 50891, 52091, 50891, 70370, 52188, 60819, 52188, 50416, 57545, 50864, 51088, 50928, 54549, 50891, 52091, 61252, 55802, 50864, 51088, 50928, 54549, 50891, 52091, 61844, 55554, 50864, 51088, 50928, 54549, 50891, 52091, 53738, 53039, 50864, 51088, 50928, 54549, 50891, 52091, 58640, 53260, 50864, 51088, 50928, 54549, 50891, 52091, 54951, 54029, 50864, 51088, 50928, 54549, 50891, 52091, 59509, 52650, 50864, 51088, 50928, 54549, 50891, 52091, 52966, 55802, 50864, 51093, 50928, 52091, 50891, 52295, 74031, 53647, 50864, 51093, 50928, 52091, 50891, 52295, 57845, 53436, 50864, 51093, 50928, 52091, 50891, 52295, 62000, 53260, 50864, 51093, 50928, 52091, 50891, 52295, 53670, 52566, 50864, 51093, 50928, 52091, 50891, 52295, 59383 ]

[ 0, 250, 15855, 19834, 2125, 4246, 10, 5540, 13305, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 20, 15229, 7630, 6568, 10, 25306, 5466, 6, 29354, 9066, 8, 2933, 4785, 19, 3722, 223, 34693, 6, 2351, 10, 1472, 9, 26545, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 6, 12608, 119, 1176, 406, 6, 163, 6, 8, 12608, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 54733, 63922, 52746, 55659, 50626, 50441, 50625, 50444, 50625, 50447, 50625, 50450, 50625, 50453, 50625, 50456, 50625, 50459, 50625, 57211, 50438, 51232, 57917, 51232, 53594, 51232, 54914, 51232, 52846, 51232, 61362, 51232, 54059, 51232, 59506, 51232, 51004, 75698, 63922, 52746, 55659, 50626, 50441, 50625, 50444, 50625, 50447, 50625, 50450, 50625, 50453, 50625, 50456, 50625, 50459, 50625, 57211, 50438, 51232, 57917, 51232, 53594, 51232, 54914, 51232, 52846, 51232, 61362, 51232, 54059, 51232, 59506, 51232, 51004, 50799, 51512, 50912, 54733, 51079, 51561, 51748, 50417, 51308, 54964, 51512, 50907, 52746, 75741, 51308, 54504, 51512, 59272, 51308, 55100, 51512, 57455, 51308, 54793, 50626, 51512, 58862, 50625, 51308, 54478, 50625, 51512, 54043, 50625, 51308, 52989, 50625, 51512, 59835, 50625, 51308, 54900, 50625, 51512, 54846, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 53728, 51512, 54252, 51308, 52921, 51512, 58519, 51308, 54221, 51512, 53720, 51308, 52788, 51512, 55608, 51308, 54478, 51512, 55854, 51308, 54823, 51512, 62785, 51308, 55162, 51512, 57467, 51308, 50907, 50799, 51777, 50912, 54733, 51079, 51512, 51748, 50417, 51639, 54964, 51777, 50907, 52746, 75741, 51639, 54504, 51777, 59272, 51639, 55100, 51777, 57455, 51639, 53269, 50626, 51777, 58862, 50625, 51639, 53086, 50625, 51777, 54043, 50625, 51639, 52989, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 53728, 51777, 54252, 51639, 53881, 51777, 58519, 51639, 52739, 51777, 53720, 51639, 53269, 51777, 58862, 51639, 54947, 51777, 58068, 51639, 54626, 51777, 62375, 51639, 55346, 51777, 62065, 51639, 50984, 75698, 51079, 52070, 51314, 54513, 67568, 52746, 55752, 51512, 50907, 51561, 52528, 50429, 51308, 54661, 51512, 56857, 51308, 54793, 50626, 51512, 50912, 51429, 53849, 52461, 53413, 50441, 50625, 51308, 54478, 50625, 51512, 55854, 50625, 51308, 52989, 50625, 51512, 55371, 50625, 51308, 54900, 50625, 51512, 58223, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 53728, 51512, 54252, 51308, 52921, 51512, 58519, 51308, 54221, 51512, 53720, 51308, 52788, 51512, 55608, 51308, 54478, 51512, 55854, 51308, 54823, 51512, 62785, 51308, 55162, 51512, 57467, 51308, 50907, 50799, 51777, 50912, 54733, 51079, 51512, 51748, 50417, 51639, 54964, 51777, 50907, 52746, 75741, 51639, 54504, 51777, 59272, 51639, 55100, 51777, 57455, 51639, 53269, 50626, 51777, 58862, 50625, 51639, 53086, 50625, 51777, 54043, 50625, 51639, 52989, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 53728, 51777, 54252, 51639, 53881, 51777, 58519, 51639, 52739, 51777, 53720, 51639, 53269, 51777, 58862, 51639, 54947, 51777, 58068, 51639, 54626, 51777, 62375, 51639, 55346, 51777, 62065, 51639, 50984, 75698, 51079, 52070, 51314, 54513, 67568, 52746, 55752, 51512, 50907, 51561, 52528, 50429, 51308, 54661, 51512, 56857, 51308, 54793, 50626, 51512, 50912, 51429, 53849, 52461, 53413, 50441, 50625, 51308, 54478, 50625, 51512, 55854, 50625, 51308, 52989, 50625, 51512, 55371, 50625, 51308, 54900, 50625, 51512, 58223, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 53728, 51512, 54252, 51308, 53881, 51512, 58519, 51308, 52739, 51512, 53720, 51308, 53269, 51512, 58862, 51308, 54947, 51512, 58068, 51308, 54626, 51512, 62375, 51308, 55346, 51512, 62065, 51308, 50984, 75698, 51079, 51777, 52829, 52929, 52337, 50420, 52746, 55752, 51777, 50907, 51512, 52528, 50429, 51639, 54661, 51777, 56857, 51639, 54793, 50626, 51777, 60887, 50625, 51639, 54478, 50625, 51777, 55854, 50625, 51639, 52989, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 54351, 51777, 54252, 51639, 52921, 51777, 58519, 51639, 54221, 51777, 56149, 51639, 52788, 51777, 55608, 51639, 54478, 51777, 55854, 51639, 53567, 51777, 62785, 51639, 55162, 51777, 57467, 51639, 50907, 50799, 51512, 50912, 54733, 51079, 51561, 51748, 50417, 51308, 54964, 51512, 50907, 52746, 74525, 51308, 54504, 51512, 60137, 51308, 55100, 51512, 55270, 51308, 53269, 50626, 51512, 58862, 50625, 51308, 53086, 50625, 51512, 54043, 50625, 51308, 54385, 50625, 51512, 59835, 50625, 51308, 53820, 50625, 51512, 54846, 50625, 51308, 50822, 57211, 51512, 50810, 51561, 51748, 50417, 51308, 54351, 51512, 54252, 51308, 52921, 51512, 58519, 51308, 54221, 51512, 56149, 51308, 52788, 51512, 55608, 51308, 54478, 51512, 55854, 51308, 53567, 51512, 62785, 51308, 55162, 51512, 57467, 51308, 50907, 50799, 51777, 50912, 54733, 51079, 51512, 51748, 50417, 51639, 54964, 51777, 50907, 52746, 74525, 51639, 54504, 51777, 60137, 51639, 55100, 51777, 55270, 51639, 53269, 50626, 51777, 58862, 50625, 51639, 53086, 50625, 51777, 54043, 50625, 51639, 54385, 50625, 51777, 59835, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51512, 51748, 50417, 51639, 53728, 51777, 54252, 51639, 53881, 51777, 58519, 51639, 52739, 51777, 53720, 51639, 53269, 51777, 58862, 51639, 54947, 51777, 58068, 51639, 54626, 51777, 62375, 51639, 55346, 51777, 62065, 51639, 50984, 78323, 51079, 51512, 51108, 52381, 60115, 52477, 55752, 51777, 50907, 51489, 51330, 52778, 50995, 51494, 52528, 51512, 52528, 50429, 51639, 54661, 51777, 56857, 51639, 54793, 50626, 51777, 50912, 51639, 51108, 53629, 74244, 50625, 51639, 54478, 50625, 51777, 55854, 50625, 51639, 52989, 50625, 51777, 50827, 51429, 51330, 52461, 73959, 50625, 51639, 54900, 50625, 51777, 58223, 50625, 51639, 50822, 57211, 51777, 50810, 51494, 51748, 51512, 51748, 51308, 51671, 51948, 51445, 50417, 51639, 53728, 51777, 54252, 51639, 52921, 51777, 58519, 51639, 54221, 51777, 53720, 51639, 52788, 51777, 58862, 51639, 54478, 51777, 55854, 51639, 54823, 51777, 62785, 51639, 55346, 51777, 57467, 51639, 50907, 50799, 52070, 51252, 53646, 51079, 51429, 51748, 51777, 51748, 50417, 52381, 54964, 52070, 50907, 52477, 74525, 52381, 54504, 52070, 60137, 52381, 55100, 52070, 55270, 52381, 53269, 50626, 52070, 58862, 50625, 52381, 53086, 50625, 52070, 54043, 50625, 52381, 54385, 50625, 52070, 59835, 50625, 52381, 54900, 50625, 52070, 54846, 50625, 52381, 50822, 57211, 74828, 51429, 51748, 51777, 51748, 50417, 52381, 53728, 52070, 54252, 52381, 53881, 52070, 58519, 52381, 52739, 52070, 53720, 52381, 53269, 52070, 58862, 52381, 54947, 52070, 58068, 52381, 54626, 52070, 62375, 52381, 55346, 52070, 62065, 52381, 50984, 78323, 51079, 51512, 51108, 52381, 60115, 52477, 55752, 51777, 50907, 51489, 51330, 52778, 50995, 51494, 52528, 51512, 52528, 50429, 51639, 54661, 51777, 56857, 51639, 54793, 50626, 51777, 50912, 51639, 51108, 53629, 74244, 50625, 51639, 54478, 50625, 51777, 55854, 50625, 51639, 52989, 50625, 51777, 50874, 51429, 51330, 52461, 73959, 50625, 51639, 54900, 50625, 51777, 54846, 50625, 51639, 50822, 57211, 51777, 50810, 51494, 51748, 51512, 51748, 51308, 51671, 51948, 51445, 50417, 51639, 54351, 51777, 54252, 51639, 52921, 51777, 58519, 51639, 54221, 51777, 53720, 51639, 52788, 51777, 55608, 51639, 54478, 51777, 55854, 51639, 54823, 51777, 62785, 51639, 55346 ]

[ 0, 250, 20902, 11057, 2125, 19, 10, 1619, 16464, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 1076, 560, 8, 2724, 368, 31365, 6673, 6909, 6, 2800, 30, 13305, 6, 21979, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 10930, 21819, 10, 33215, 13931, 9, 211, 119, 6, 3676, 406, 6, 8, 83, 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 ]

[ 63515, 50903, 76660, 51003, 60859, 50932, 51768, 56389, 50903, 50932, 50446, 51579, 51033, 52060, 54787, 51866, 50910, 52178, 51757, 52067, 51030, 51553, 72982, 51702, 50977, 52148, 77930, 52336, 51407, 51206, 78412, 51483, 50459, 52384, 51675, 51866, 51103, 52178, 51077, 56020, 52376, 50882, 51652, 51045, 54512, 50808, 53628, 53373, 54818, 51831, 51215, 51667, 51653, 53880, 51116, 52394, 51238, 50816, 50893, 50434, 51493, 51033, 51652, 50948, 51721, 50823, 53628, 50865, 52228, 56638, 56966, 58166, 50821, 52058, 50952, 51866, 50859, 52178, 50858, 51570, 70089, 52067, 61723, 51702, 50855, 52148, 53886, 52336, 51021, 50451, 52384, 51101, 51866, 50901, 52178, 78442, 52629, 52827, 51335, 53793, 51968, 51047, 51702, 51790, 52194, 51127, 56020, 52770, 50858, 51667, 51045, 53880, 50800, 52394, 52390, 54392, 51831, 51158, 51721, 51427, 53628, 50991, 52228, 51238, 50816, 77121, 51560, 50821, 51652, 50859, 51643, 50823, 52394, 50865, 52608, 58474, 53660, 56469, 50858, 51968, 50800, 52148, 50800, 52194, 50859, 51570, 51014, 50446, 52336, 61723, 51947, 50812, 51702, 50833, 52178, 55620, 52629, 50936, 50451, 52058, 50866, 51866, 50937, 52194, 73246, 53954, 51407, 51206, 57521, 51968, 51790, 52377, 51591, 52488, 51358, 56020, 50816, 50962, 51694, 57083, 52457, 50890, 51831, 50811, 56478, 50830, 53628, 63179, 59618, 56381, 59306, 51522, 51427, 51831, 50865, 51721, 51021, 53628, 50910, 52228, 50938, 50442, 51652, 50830, 51643, 51021, 52394, 50938, 51978, 64731, 51721, 50865, 51633, 50921, 52228, 50897, 51979, 53484, 51522, 51021, 51643, 51116, 51993, 51354, 51978, 50991, 52172, 50967, 53954, 50802, 52234, 51106, 55968, 55456, 58974, 56381, 50923, 51702, 50873, 52377, 50805, 52488, 71478, 51273, 50894, 51633, 50952, 54761, 50803, 52891, 50830, 52172, 50865, 53954, 56429, 56106, 51740, 56573, 56167, 51033, 52698, 50910, 52148, 50910, 52488, 50952, 55669, 57257, 50801, 70829, 50800, 53924, 52841, 51553, 61094, 51553, 50822, 52320, 62691, 62371, 51886, 51110, 63828, 55435, 51318, 50871, 51318, 50861, 51318, 50902, 51318, 51098, 51290, 51206, 53507, 70838, 51886, 53049, 51216, 51227, 51673, 54068, 55413, 50433, 51827, 50942, 54127, 57455, 78679, 57956, 58882, 50902, 55467, 51261, 51157, 51686, 64390, 55484, 54988, 51389, 50991, 51565, 69829, 55413, 54820, 57467, 51098, 50910, 53975, 55332, 56943, 58903, 50838, 51216, 51112, 51789, 51177, 63404, 54856, 51216, 51159, 51565, 52839, 51740, 57181, 51560, 50952, 52083, 60095, 54584, 78120, 50989, 51253, 73750, 50902, 51253, 51273, 56053, 54988, 50989, 51142, 51705, 64182, 55413, 50454, 50876, 51174, 50458, 51273, 50830, 51596, 69238, 56573, 50902, 50904, 55435, 51627, 50871, 51627, 50861, 51627, 50902, 51627, 75113, 63404, 70838, 54128, 52580, 51493, 50943, 51686, 54042, 55413, 50434, 51565, 55588, 55484, 54793, 50899, 51627, 50871, 51627, 50861, 51627, 50906, 51627, 51560, 71822, 70040, 76497, 51757, 51868, 55859, 51740, 59697, 52161, 51267, 54820, 56573, 50956, 51172, 70254, 67939, 50951, 51172, 50799, 53691, 50940, 63404, 50882, 50418, 52078, 60853, 51150, 61965, 52921, 51705, 50967, 51886, 54042, 56757, 50434, 51493, 50910, 51673, 58866, 51140, 74741, 55484, 57674, 50956, 51380, 50877, 51380, 70179, 50931, 51380, 57411, 60333, 51140, 72705, 55413, 50458, 52171, 51124, 50856, 57467, 50899, 51172, 73306, 69541, 67939, 50799, 54021, 68067, 50882, 50418, 51793, 60853, 51261, 50897, 52171, 52654, 51522, 50967, 52480, 54042, 55413, 50434, 51705, 50910, 51886, 54566, 55484, 54793, 51098, 51345, 51673, 79525, 70040, 53636, 50447, 50871, 51380, 50906, 51380, 50902, 51380, 50951, 77072, 51098, 51048, 51827, 71162, 55413, 54124, 55484, 50851, 56178, 57292, 55512, 57945, 50838, 51150, 50967, 51565, 60095, 77287, 51886, 65290, 51461, 51620, 51705, 51110, 51673, 52808, 56757, 50434, 52083, 67526, 55484, 55270, 50956, 51080, 50989, 75656, 66743, 51080, 51140, 51013, 56797, 70040, 51886, 55590, 57411, 60333, 51140, 51212, 51673, 54042, 55413, 50458, 51606, 51790, 50804, 56897, 50907, 54204, 56053, 50882, 56400, 54252, 50899, 51380, 50906, 51380, 50931, 78804, 51493, 55637, 51740, 52262, 50899, 51183, 72684, 50906, 51183, 50931, 64164, 51560, 52496, 55484, 70040, 51673, 58332, 51261, 51016, 51827, 56522, 55413, 50458, 52161, 51100, 50856, 57467, 50900, 51183, 50956, 51183, 72684, 50877, 51183, 54389, 51221, 63404, 57257, 51827, 54172, 53507, 55054, 52419, 59386, 51216, 51212, 51686, 56895, 59662, 51596, 73908, 55484, 51724, 78120, 50989, 51253, 73750, 50902, 51253, 51273, 51346, 53360, 52258, 53526, 52843, 50989, 51142, 51273, 61136, 61481, 50876, 51174, 50458, 51886, 51255, 50856, 56573, 50902, 50904, 51098, 51573, 52058, 51662, 55435, 51318, 50871, 51318, 50861, 51318, 50902, 51318, 52234, 52054, 55836, 70838, 51886, 54172, 52921, 51216, 51227, 51673, 54265, 55413, 50433, 51827, 50866, 54127, 57455, 78679, 57956, 58882, 50902, 55467, 51261, 51157, 51686, 66644, 55484, 50882, 53526, 54626, 51389, 50991, 51565, 67141, 55413, 50451, 51968, 50874, 54820, 57467, 51098, 50910, 53975, 51253, 69459, 73750, 50968, 51253, 51216, 51112, 51789, 51043, 63404, 65108, 52384, 51310, 56400, 52921, 77556, 51216, 51110, 51565, 69829, 56757, 50434, 52083, 68068, 50900, 79199, 51183, 50989, 51183, 50877, 51183, 51273, 51013, 52698, 50844, 53550, 55484, 70040, 51431, 50812, 51641, 50808, 52314, 50800, 52336, 59557, 53668, 80218, 60333, 51273, 72705, 55413, 50458, 51596, 69238, 57467, 50997, 51183, 50871, 51183, 72684, 50902, 51183, 52148, 50981, 53458, 51221, 63404, 57625, 54128, 59386, 51098, 51212, 51686, 52839, 55413, 50427, 52058, 51101, 50434, 51565, 56873, 55484, 57455, 51866, 55467, 50899, 51627, 50861, 51627, 50906, 51627, 50931, 51627, 51560, 56053, 70040, 51723, 50910, 51485, 50910, 51509, 50884, 51579, 54698, 53688, 51868, 55637, 51740, 57450, 52161, 69238, 56573, 51866, 50915, 56178, 51562, 50861, 51562, 50906, 51562, 50876, 51562, 51150, 51221, 58199, 57625, 51461, 59386, 51150, 51212, 51886, 54042, 56757, 50427, 51947, 67632, 51673, 64267, 56857, 51702, 55467, 50956, 56943, 55512, 77424, 51140, 51346, 50856, 70040, 51431, 50830, 51641, 50910, 51579, 50952, 52067, 62851, 54218, 52848, 51140, 52959, 55413, 50458, 52171, 51255, 50816, 51116, 51335, 53672, 55921, 50851, 56290, 71428, 50899, 51419, 50877, 51419, 50876, 51419, 50931, 51419, 50799, 54021, 50940, 73522, 50882, 50418, 51793, 60853, 51261, 50897, 52171, 50844, 56290, 52910, 50899, 51142, 51522, 50967, 52480, 52839, 55413, 50430, 50877, 51174, 50433, 51886, 65053, 51705, 56776, 55484, 57455, 50876, 54728, 67104, 69459, 72689, 50902, 51253, 51098, 51112, 51673, 51178, 50856, 50882, 57696, 51173, 50446, 50852, 52843, 69119, 51098, 51159, 51827, 66741, 55413, 71022, 51091, 50458, 51868, 58063, 55484, 56573, 50956, 67835, 75489, 66743, 51080, 53788, 50991, 51565, 55937, 61605, 77287, 51886, 63980, 51461, 50812, 60477, 51620, 74596, 51673, 52839, 51740, 50810, 57696, 78344, 52083, 64211, 55603, 53507, 50907, 71022, 50967, 50435, 50956, 51080, 50989, 75656, 66743, 51080, 60116, 51345, 50856, 70040, 51886, 50925, 60119, 52741, 51140, 51048, 51673, 56522, 55413, 60081, 71295, 51606, 51790, 62373, 71022, 51623, 50459, 50899, 51183, 50871, 51183, 50906, 51183, 54204, 50807, 63404 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 1575, 10, 13305, 6, 6755, 12547, 6, 24896, 6, 8, 2352, 6757, 4, 8504, 11, 211, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 8728, 5466, 4, 20, 40286, 211, 8, 272, 14417, 1328, 6, 1271, 7, 63, 3722, 8, 5679, 26709, 13408, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50902, 51364, 51699, 73660, 52065, 50981, 51251, 57547, 50968, 55122, 50902, 50879, 52065, 50981, 51251, 59242, 50973, 55149, 50877, 50879, 52065, 50981, 51251, 58667, 50861, 50879, 56807, 51551, 51699, 73660, 51299, 50981, 51301, 56692, 50968, 51013, 51299, 50981, 51301, 57105, 51299, 50981, 51301, 50981, 55331, 51013, 51699, 73660, 50973, 51013, 52065, 50981, 51251, 56692, 50973, 51364, 52065, 50981, 51251, 57105, 52065, 50981, 51251, 58667, 50861, 50879, 54852, 52266, 53148, 73660, 51883, 50981, 51299, 50981, 51251, 56692, 51883, 50981, 51299, 50981, 51251, 57105, 51883, 50981, 51299, 50981, 51251, 50981, 55331, 51364, 51699, 73660, 52065, 50981, 51251, 57547, 50968, 55122, 50902, 50879, 52065, 50981, 51251, 59242, 50973, 55149, 50877, 50879, 52065, 50981, 51251, 58667, 50861, 50879, 56807, 51496, 52143, 73660, 51699, 50981, 51299, 57547, 50999, 55122, 50951, 50879, 51699, 50981, 51299, 59242, 50968, 55149, 50902, 50879, 51699, 50981, 51299, 58667, 50876, 50879, 57844, 50879, 52371, 51293, 54569, 54851, 50902, 54729, 50899, 55122, 50877, 57253, 50879, 55528, 51145, 55989, 55149, 50989, 58696, 55416, 50900, 50879, 57542, 52266, 50861, 52266, 51699, 50981, 52065, 73660, 52371, 56509, 52776, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 52776, 51677, 51699, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 55069, 52130, 50805, 71411, 50889, 52776, 51677, 51699, 73660, 53122, 62525, 57631, 66154, 53912, 53122, 51141, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 55069, 52682, 50805, 77435, 51933, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 52776, 51677, 51699, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 55528, 51677, 52371, 51677, 50420, 51967, 52483, 53122, 57260, 57631, 66154, 55112, 52682, 52446, 53122, 50889, 55528, 51145, 52371, 77307, 52521, 62525, 68036, 58835, 50889, 77723, 51933, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 52776, 51677, 51699, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 53122, 52446, 53122, 62525, 57631, 66154, 55082, 52682, 62525, 57631, 66154, 50889, 77435, 51933, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 52446, 51967, 57260, 57631, 66154, 55480, 53122, 52596, 52521, 57260, 57631, 66154, 55069, 52682, 50805, 71802, 51336, 55244, 51677, 52143, 51677, 56248, 57631, 58835, 53912, 52130, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 55528, 51145, 52371, 67568, 51967, 52483, 53122, 57260, 57631, 66154, 55112, 52682, 52446, 53122, 50889, 55528, 51145, 52371, 77307, 52521, 62525, 68036, 58835, 50889, 77723, 51933, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 50889, 71802, 51077, 56968, 51077, 79721, 50876, 51077, 50968, 51077, 55244, 51145, 52143, 64488, 53058, 51141, 54304, 51141, 50916, 51077, 79721, 50876, 51077, 55244, 51145, 52143, 51145, 50456, 52130, 50805, 54391, 50805, 71411, 51336, 57255, 51077, 50899, 51538, 50861, 51538, 50973, 51538, 52776, 51677, 51699, 51677, 50438, 53122, 50889, 54602, 50889, 77630, 50889, 54391, 50889, 52776, 51677, 51699, 73660, 51967, 50889, 57255, 62525, 57631, 66154, 53912, 53122, 51141, 54602, 51141, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 77435, 51933, 57719, 51538, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 57255, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 50805, 54391, 52446, 51967, 50805, 57255, 57260, 57631, 66154, 55480, 53122, 50805, 54602, 52596, 52521, 50805, 57719, 57260, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 71802, 51336, 56968, 51077, 55244, 51677, 52143, 51677, 56248, 57631, 58835, 53912, 52130, 50889, 54391, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 57255, 50805, 55528, 51145, 52371, 67568, 51967, 50805, 57255, 52483, 53122, 50805, 54602, 57260, 57631, 66154, 55112, 52682, 50805, 54602, 52446, 53122, 50889, 54304, 50889, 55528, 51145, 52371, 77307, 52521, 50889, 54391, 62525, 68036, 58835, 50889, 77723, 51933, 57255, 51538, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 50889, 71802, 51077, 56968, 51077, 79721, 50876, 51077, 50968, 51077, 55244, 51145, 52143, 64488, 53058, 51141, 54304, 51141, 50916, 51077, 79721, 50876, 51077, 55244, 51145, 52143, 51145, 50456, 52130, 50805, 54391, 50805, 71411, 51336, 57255, 51077, 50899, 51538, 50861, 51538, 50973, 51538, 52776, 51677, 51699, 51677, 50438, 53122, 50889, 54602, 50889, 77630, 50889, 54391, 50889, 52776, 51677, 51699, 73660, 51967, 50889, 57255, 62525, 57631, 66154, 53912, 53122, 51141, 54602, 51141, 50899, 57631, 66154, 55082, 50899, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 77435, 51933, 57719, 51538, 55528, 51677, 52371, 51677, 53337, 68036, 58835, 53912, 50899, 68036, 58835, 55082, 50899, 68036, 58835, 50889, 71411, 51141, 57255, 51141, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 55112, 52130, 50805, 54391, 52446, 51967, 50805, 57255, 57260, 57631, 66154, 55480, 53122, 50805, 54602, 52596, 52521, 50805, 57719, 57260, 57631, 66154, 55069, 52682, 50805, 54602, 50805, 71802, 51336, 56968, 51077, 55244, 51677, 52143, 51677, 56248, 57631, 58835, 53912, 52130, 50889, 54391, 68368, 57631, 58835, 55082, 50916, 57631, 58835, 50889, 77630, 50805, 57255, 50805, 55528, 51145, 52371, 67568, 51967, 50805, 57255, 52483, 53122, 50805, 54602, 57260, 57631, 66154, 55112, 52682, 50805, 54602, 52446, 53122, 50889, 54304, 50889, 55528, 51145, 52371, 77307, 52521, 50889, 54391, 62525, 68036, 58835, 50889, 77723, 51933, 57255, 51538, 52776, 51677, 51699, 51677, 53337, 57631, 66154, 53912, 50899, 57631, 66154, 50889, 55331, 51364, 51699, 73660, 52065, 50981, 51251, 57547, 50968, 55122, 50902, 50879, 52065, 50981, 51251, 59242, 50973, 55149, 50877, 50879, 52065, 50981, 51251, 58667, 50861, 50879, 56807, 51496, 52143, 73660, 51699, 50981, 51299, 57547, 50999, 55122, 50951, 50879, 51699, 50981, 51299, 59242, 51114, 55149, 50902, 50879, 51699, 50981, 51299, 58667, 50876, 50879, 57844, 50879, 52371, 51293, 54569, 54851, 50902, 54729, 50899, 55122, 50877, 57253, 50879, 55528, 51145, 55989, 55149 ]

[ 0, 713, 20425, 5175, 2214, 11, 83, 538, 1575, 41, 81, 9756, 8669, 6, 13305, 6, 20535, 2810, 6, 6755, 12547, 6, 8, 38668, 22052, 4, 590, 10, 20889, 9, 8325, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 15352, 30054, 6, 980, 219, 6, 8, 3366, 219, 5466, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 6, 211, 119, 1176, 406, 6, 8, 381, 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 ]

[ 56236, 50796, 50796, 50444, 53134, 51798, 54133, 55416, 52751, 50879, 50799, 52452, 51364, 51263, 50865, 65033, 51808, 50918, 51669, 50918, 53335, 51336, 51284, 52720, 50791, 50809, 55464, 52147, 52582, 51103, 52252, 51103, 52009, 66526, 51263, 50829, 51245, 50849, 51746, 50873, 51478, 50873, 53884, 50423, 51263, 52762, 51263, 50865, 51195, 52217, 52359, 52452, 50795, 51263, 50829, 51195, 52217, 57869, 51263, 52766, 53190, 51141, 51200, 50865, 77492, 80168, 52232, 50873, 51440, 51141, 52361, 50983, 52043, 76909, 50809, 55500, 53577, 52091, 51189, 51701, 51189, 52736, 69279, 51200, 50829, 51729, 52217, 57291, 51200, 52802, 51200, 50865, 51729, 52217, 52485, 53190, 50807, 51823, 50849, 80168, 52232, 50873, 51969, 51048, 51943, 51048, 51440, 51077, 52361, 50918, 52043, 50918, 53884, 63827, 52147, 52091, 51103, 51701, 51103, 52736, 51103, 50799, 51729, 52217, 52628, 52452, 50795, 51969, 50829, 51729, 52217, 57559, 51969, 52762, 53190, 50795, 51969, 50865, 51729, 52217, 52359, 53134, 74493, 50849, 51823, 50873, 51746, 50873, 52484, 51048, 51969, 51048, 51440, 51623, 51669, 51358, 53335, 51358, 53884, 54549, 55586, 52582, 51591, 51701, 51591, 52009, 80179, 51545, 52217, 52510, 53134, 50805, 52484, 50829, 77586, 51823, 50873, 51746, 50873, 53884, 50447, 52484, 52802, 54133, 50879, 52484, 50865, 51545, 52217, 52485, 52751, 50879, 52484, 50829, 73194, 51823, 50813, 51746, 55476, 57490, 52484, 50829, 73194, 51823, 50813, 74465, 50799, 52452, 51364, 73194, 72444, 74465, 51263, 50865, 51808, 50918, 51669, 50918, 53335, 77229, 50809, 55464, 52147, 52582, 51103, 52252, 51103, 52009, 66526, 51263, 50865, 77586, 66011, 51746, 50873, 53884, 50426, 51263, 50865, 51545, 52217, 52359, 52452, 50795, 51263, 50829, 51545, 52217, 57869, 51263, 52766, 52751, 51013, 51200, 50865, 51943, 50849, 78903, 80168, 51440, 51141, 52361, 50983, 52043, 76909, 50809, 55500, 53577, 52091, 51189, 51701, 51189, 52736, 69279, 51200, 50829, 51265, 52217, 57291, 51200, 52802, 52452, 56005, 50865, 51265, 52217, 52485, 52751, 51013, 77586, 51823, 50873, 80168, 51409, 51048, 51200, 51048, 51440, 51157, 52361, 51048, 52043, 51048, 53884, 61372, 52503, 52016, 51307, 52582, 51307, 51701, 51307, 52736, 51159, 50799, 51265, 52217, 52628, 54133, 50893, 51409, 50829, 68541, 51440, 50938, 51669, 50865, 53335, 53710, 50904, 52009, 78768, 51409, 52762, 54133, 51356, 51409, 50865, 68541, 51440, 51538, 51669, 51161, 53335, 65156, 50809, 52009, 51486, 50432, 51409, 50829, 77586, 51823, 50873, 80168, 51284, 57948, 56788, 51409, 52766, 51409, 50829, 68541, 51733, 64003, 54790, 51409, 53162, 51188, 50865, 77586, 51823, 50873, 51323, 54068, 54208, 51409, 50865, 68541, 51384, 64003, 52485, 52408, 50805, 73194, 51823, 50813, 64895, 51409, 59553, 57490, 73194, 51823, 50813, 64895, 50799, 53134, 50889, 51263, 50865, 51188, 50865, 65033, 51808, 50983, 51669, 50983, 53335, 51364, 51284, 53487, 50791, 50809, 55464, 53577, 52582, 51189, 52252, 51189, 52009, 70506, 51263, 50829, 51245, 50849, 51746, 50873, 51478, 54068, 55081, 51263, 52762, 52452, 50879, 51263, 50865, 51195, 52217, 52359, 53190, 50918, 51200, 50865, 51404, 50865, 65033, 51440, 51077, 52361, 50918, 52043, 50918, 53884, 55500, 52147, 52091, 51103, 51701, 51103, 52736, 64050, 51200, 50829, 77492, 80168, 52232, 54068, 54790, 51200, 53162, 51200, 50865, 51729, 52217, 54915, 51200, 50865, 51729, 52217, 52485, 53190, 50795, 51969, 50865, 51943, 50865, 51823, 50849, 80168, 52232, 50873, 51440, 51077, 52361, 50918, 52043, 50918, 53884, 63827, 52147, 52091, 51103, 51701, 51103, 52736, 51103, 50799, 53190, 51013, 51969, 50829, 51729, 52217, 54745, 51969, 53203, 51969, 50865, 51729, 50836, 51558, 50905, 53884, 50426, 52751, 50879, 51969, 50865, 51729, 50836, 51905, 54265, 52359, 52452, 51896, 52484, 50865, 51969, 50865, 77586, 51823, 50873, 51746, 50873, 51440, 51623, 51669, 51358, 53335, 51358, 51558, 51803, 53884, 54549, 55586, 52582, 51591, 51701, 51591, 52009, 80179, 52484, 50829, 51545, 52217, 54790, 52484, 53162, 52484, 50865, 77586, 51823, 50873, 51746, 50873, 53884, 50450, 52484, 50865, 51545, 52217, 52485, 52484, 50829, 73194, 51823, 50813, 51746, 55476, 57490, 52484, 50829, 73194, 51823, 50813, 74465, 50799, 52452, 51336, 73194, 72444, 74465, 51263, 50865, 51188, 50865, 51808, 50918, 51669, 50918, 53335, 51336, 51558, 72213, 54500, 55464, 52147, 52582, 51103, 52252, 51103, 52009, 66526, 51263, 50829, 77586, 66011, 51746, 50873, 53884, 50423, 51263, 52762, 51263, 50865, 51545, 55153, 53860, 51263, 50829, 51545, 55310, 51263, 52766, 53190, 51013, 51200, 50865, 51404, 50865, 51943, 50849, 78903, 80168, 51440, 51141, 52361, 50983, 52043, 51364, 51284, 51318, 51905, 51318, 61558, 50813, 55500, 53577, 52091, 51189, 51701, 51189, 52736, 69279, 51200, 50829, 51265, 52217, 57291, 51200, 52802, 53134, 56005, 50865, 51265, 55153, 54481, 53134, 53363, 77586, 51823, 50873, 51746, 50873, 52484, 51048, 51944, 51264, 51808, 51036, 51669, 51036, 51558, 53487, 51384, 53487, 61558, 50904, 54549, 52503, 52016, 51307, 52582, 51307, 52252, 51307, 50799, 51545, 52217, 52628, 52484, 50865, 77586, 51823, 50873, 51746, 50873, 51248, 53183, 52524, 52484, 50865, 51545, 50380, 53183, 55702, 53860, 52484, 50865, 77586, 51823, 50873, 51746, 50873, 51326, 55064, 54077, 52484, 50865, 51545, 50380, 53183, 52716, 54434, 51910, 51310, 52484, 50865, 77586, 51823, 50873, 51823, 50805, 51746, 62617, 50668, 50280, 59433, 50668, 50280, 52800, 52484, 50865, 51323, 50879, 51545, 50836, 50668, 50280, 55726, 50668, 50280, 53211, 52484, 50865, 77586, 51823, 50873, 51823, 50805, 51746, 55732, 68581, 50809, 59373, 50924, 51478, 50893, 51499, 50983, 51823, 50983, 51188, 51189, 51823, 51218, 51746, 51218, 52578, 50983, 53170, 50983, 52991, 50983, 51808, 51048, 51669, 51048, 53335, 59569, 51421, 57479, 50809, 54549, 55812, 52582, 51115, 51701, 51115, 52009, 71215, 51684, 50865, 52232, 65207, 54317, 52458, 50865, 51323, 50879, 51808, 51157, 51669, 51048, 53335, 63677, 50809, 50668, 50280, 52810, 51640, 51048, 51969, 50865, 51943, 50865, 51943, 50849, 78903, 80168, 51404, 55157, 50809, 51248, 52526, 50809, 63827, 53055, 52091, 51047, 51701, 51047, 52736, 51047, 51570, 52510, 51181, 51048, 51409, 50865, 51200, 50865, 51943, 50849, 78903, 80168, 51888, 50865, 52002, 50865, 54556, 50865, 51440, 50938, 52361, 50865, 52043, 53710, 54915, 51323, 53417, 50809, 50668, 50280, 53211, 51374, 51048, 51580, 51048, 51499, 51048, 51823, 66544, 51103, 51188, 51127, 51245, 51127, 51648, 50918, 51776, 50918, 53170, 50918, 51434, 51077, 51808, 50918, 51669, 54805, 51421, 50904, 67348, 53055, 51678, 51047, 52252, 51047, 52009, 51047, 53028, 52628, 51374, 50865, 51409, 50865, 51200, 50865, 51404, 51654, 51421, 54317, 51640, 50865, 51969, 50983, 51943, 50983, 51823, 59770, 50809, 50668, 50280, 52810, 51349, 50967, 51188, 50914, 51245, 50943, 51323, 50943, 51648, 50800, 51888, 50800, 52002, 50800, 51434, 50938, 51440, 50865, 51669, 54070, 51421, 50904, 55500, 55812, 52091, 51115, 51678, 51115, 52009, 66744, 51648, 51048, 51888, 51048, 52002, 51048, 51440, 51157, 51669, 51048, 52043, 68760, 52510, 51349, 50865, 51188, 50820, 51245, 50820, 51323, 50820, 51969, 50865, 51943, 54070, 50809, 51248, 53183, 53401, 51188 ]

[ 0, 250, 20902, 8, 15352, 30054, 3495, 2214, 19, 11057, 16882, 6, 4246, 10, 11577, 11739, 9, 13305, 6, 21979, 9590, 6, 23338, 33518, 1264, 6, 32909, 6, 8, 21072, 6, 70, 8216, 7, 63, 14899, 8, 20425, 6711, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 3185, 30, 10, 182, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 6, 19, 5, 33215, 16739, 9, 1918, 406, 8, 3676, 1271, 7, 63, 32076, 8, 8728, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 50796, 53523, 50910, 68452, 51214, 51233, 51026, 51400, 73866, 65789, 54123, 50899, 60097, 64529, 51026, 52848, 50899, 66332, 64603, 51026, 50914, 54206, 57094, 51514, 50292, 51221, 53523, 50805, 51120, 51111, 51026, 51111, 50871, 51177, 55203, 50897, 68452, 51214, 51233, 51026, 51377, 67655, 77798, 54385, 50899, 61077, 66585, 51026, 50800, 54206, 51077, 72683, 50422, 51026, 52450, 51085, 53912, 51120, 55441, 50900, 50897, 57956, 51214, 51043, 51026, 51400, 50458, 50861, 67954, 50851, 54206, 61077, 68684, 51026, 53049, 50899, 51215, 50861, 51175, 50434, 51026, 50914, 55898, 58263, 51514, 50292, 51116, 55895, 51519, 50294, 51100, 51026, 51100, 76518, 53975, 50897, 62676, 51214, 51043, 51026, 51377, 64309, 65789, 50874, 53337, 51194, 79270, 50434, 51026, 51724, 50899, 51110, 50861, 51194, 50446, 51026, 51757, 51040, 68382, 50925, 50861, 51377, 51085, 50915, 50458, 50997, 56369, 50884, 54955, 51377, 51120, 50981, 51068, 52905, 51098, 51295, 50900, 50897, 57956, 51214, 51233, 51026, 51025, 58706, 57535, 50861, 65789, 54965, 53116, 50899, 61077, 59606, 57854, 51098, 51218, 51026, 64154, 53083, 50899, 51095, 50861, 51215, 50458, 51026, 55560, 50841, 53788, 64763, 58263, 51458, 50292, 69362, 52639, 51389, 65065, 51458, 50294, 51111, 51026, 51111, 50871, 70232, 58608, 51068, 53116, 51098, 51295, 50900, 50910, 62676, 51214, 51194, 51026, 51377, 54768, 59673, 50861, 65789, 54553, 53083, 50899, 61077, 59392, 58323, 51098, 51295, 51026, 53984, 50841, 54206, 51103, 72683, 50422, 51026, 52764, 52870, 51150, 51734, 50292, 55506, 52950, 51389, 51807, 50294, 55560, 55685, 51068, 53083, 51098, 51218, 50900, 50910, 68452, 51214, 51194, 51026, 51377, 58706, 58323, 50861, 77798, 54553, 50841, 54206, 61077, 55651, 60161, 51098, 51218, 51026, 57446, 52870, 50899, 51215, 50861, 51215, 50434, 51026, 55506, 52600, 51150, 62649, 57094, 51514, 50292, 69652, 53083, 51389, 60045, 51458, 50294, 51100, 51026, 51111, 50871, 64210, 58323, 51068, 50841, 53458, 51115, 75818, 64871, 51214, 51043, 51026, 51377, 58706, 58235, 50906, 62465, 54172, 52992, 50899, 51191, 50861, 51391, 50804, 57535, 51098, 51218, 51026, 53984, 59484, 51026, 52764, 53068, 51150, 51807, 50292, 55560, 50841, 56950, 51807, 50294, 55560, 60161, 51068, 52870, 51098, 51218, 50997, 52140, 50899, 52140, 50861, 51592, 58706, 56670, 52387, 51021, 53924, 54665, 65959, 50910, 53550, 59673, 51098, 51295, 51068, 57461, 65959, 53850, 50841, 53788, 51003, 52213, 51112, 74720, 72734, 50804, 52992, 51389, 56744, 56670, 52280, 77121, 52213, 60903, 53116, 51098, 51295, 50997, 51313, 50899, 51353, 50861, 51243, 50906, 51313, 54768, 57927, 52387, 50806, 53526, 54926, 65959, 64824, 58472, 51098, 51218, 51068, 50841, 50796, 53951, 52639, 51150, 50943, 52213, 59702, 52950, 51389, 60045, 72225, 68369, 66412, 58379, 57927, 52280, 64731, 51756, 61238, 53083, 51098, 51295, 50997, 51662, 50899, 51422, 50871, 51422, 50877, 51692, 54768, 57143, 51760, 50860, 54124, 54814, 51760, 50910, 55669, 58235, 51098, 51218, 51068, 50841, 53924, 52950, 51150, 50915, 51756, 51112, 50900, 51183, 50956, 51183, 50989, 51183, 50906, 51183, 50804, 53068, 51389, 58379, 56688, 51760, 74239, 52527, 61238, 50828, 53458, 51115, 58706, 56260, 51760, 50911, 53951, 53744, 51760, 50859, 51302, 57535, 51098, 51115, 51068, 50841, 53526, 53083, 51150, 50943, 51760, 51111, 50899, 64292, 56951, 58323, 52527, 50830, 56950, 51003, 51760, 51159, 50900, 60268, 58379, 60161, 51068, 52870, 51150, 51295, 50997, 52026, 50304, 66715, 67278, 51391, 54768, 56670, 51760, 51138, 53924, 54665, 51756, 53402, 50804, 59673, 51150, 51377, 50861, 74941, 68913, 73981, 69098, 51204, 51068, 57461, 51150, 50942, 50997, 54742, 50841, 53202, 51003, 51756, 51060, 51027, 51025, 50877, 77587, 58235, 52527, 58798, 51140, 50943, 51760, 69970, 64442, 51123, 51027, 51008, 50871, 68870, 56565, 51068, 53442, 51261, 51115, 50997, 51199, 70990, 50871, 70062, 51077, 58706, 55698, 51756, 50806, 53526, 54926, 52280, 64824, 58323, 51261, 51400, 51027, 52386, 50302, 50874, 61335, 68274, 51068, 50828, 52591, 63503, 50422, 51261, 50925, 50877, 53887, 60682, 50965, 53450, 51560, 51003, 52280, 51215, 60501, 50997, 51962, 50299, 57935, 51351, 50804, 58608, 51760, 53402, 51560, 51003, 51756, 64815, 50822, 78456, 50997, 60146, 59673, 51068, 53035, 51216, 51295, 50876, 51191, 54768, 55223, 52280, 50911, 50458, 51027, 62820, 68804, 66813, 59606, 54625, 52213, 50808, 55669, 58235, 51216, 51400, 51068, 52870, 50956, 51609, 50301, 50844, 50900, 50854, 58222, 50434, 51216, 56873, 52950, 51560, 51003, 52213, 69057, 57854, 51756, 57006, 51216, 51003, 51756, 69796, 51609, 50301, 64312, 50810, 58222, 50804, 58472, 51068, 50828, 54079, 51295, 54768, 56813, 52280, 50806, 53951, 54446, 52213, 61408, 57535, 51273, 51400, 51378, 66517, 51241, 50900, 51351, 51027, 51742, 51068, 59673, 51273, 56873, 53068, 51273, 65593, 63782, 50841, 59298, 51734, 50298, 73355, 51351, 51027, 52122, 50804, 60161, 51068, 52870, 51098, 51295, 51026, 51309, 58706, 56670, 52387, 62751, 50899, 64007, 62378, 59606, 54665, 52387, 50897, 53550, 57854, 51098, 51295, 60932, 58219, 50906, 65232, 53083, 51026, 51079, 50458, 50899, 64716, 64066, 68870, 50841, 53788, 50943, 52213, 50967, 51085, 75438, 58235, 52280, 57316, 51389, 50915, 52213, 51346, 51120, 77867, 58608, 51068, 53219, 51098, 51218, 51026, 51203, 54768, 56866, 52387, 50911, 68473, 50912, 69271, 50916, 54965, 54926, 65959, 50858, 51382, 58323, 51098, 51218, 51026, 51115, 51068, 50841, 54206, 51363, 50916, 51221, 50997, 51411, 53951, 52992, 51150, 50915, 52387, 51346, 50989, 60045, 51391, 51120, 51961, 50804, 53116, 51389, 56744, 57927, 52280, 64731, 51756, 61238, 53035, 51098, 51295, 50997, 51148, 74169, 50916, 51183, 51026, 51047, 58706, 57143, 51760, 51021, 54124, 54814, 51760, 50910, 55669, 58235, 51098, 51295, 51756, 51294, 51068, 50846, 53924, 53116, 51150, 51003, 51760, 52297, 50294, 51295, 50900, 51115, 50956, 51115, 50989, 51218, 50877, 51295, 50804, 53083, 51389, 56744, 56012, 52527, 50889, 50458, 51068, 50841, 53458, 51295, 58706, 55376, 51760, 50911, 50416, 51026, 51484, 53951, 54477, 51760, 60809, 50916, 50971, 51302, 57535, 51098, 51218, 61335, 50997, 51051, 50916, 66437, 57014, 51026, 51328, 64118, 54732, 53083, 51150, 51807, 50294, 52496, 50839, 56950, 50943, 52527, 63925, 51267, 51001, 55067, 58235, 51068, 52870, 51150, 51218, 50902, 59428, 69836, 51103, 51085, 51127, 58706, 56344, 51760, 51413, 53924, 52950, 50804, 59673, 51150, 51377, 66883, 50956, 50907, 78679, 50876, 50914, 51068, 54926, 51756, 51191, 50458, 51150, 57990, 50841, 55435, 51309, 50900, 51043, 50956, 52482, 50861, 51642, 50804, 56813, 51140, 50915, 50416, 51760, 76186, 51756, 72893, 61567, 64742, 64675, 74604, 56670, 51150, 51003, 50434, 51068, 53219, 54768, 57927, 51140, 51295, 51760, 51364, 51050, 51623, 50440, 50956, 67278, 64292, 51419, 53526, 50839, 51382, 58323, 51756, 51189, 50871, 60015, 51391, 50900, 51677, 51068, 54943, 51140, 51377, 50796, 53951, 54477, 51140, 50942, 51050, 51183, 51302, 56344, 51150, 60241, 51218, 50428, 51760, 69205, 52840, 51377, 50877, 64544, 57927, 51140, 51003, 50446, 51068, 53083, 51261, 51295, 58706, 56688, 51756, 51141, 50876, 51036, 51234, 53363, 54124, 54359 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 1619, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 6755, 12547, 6, 3459, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 21979, 8669, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 8, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 211, 119, 406, 6, 230, 6, 8, 274, 4620, 5, 46336, 24456, 9, 42, 12298, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50796, 50796, 50444, 55301, 50977, 50449, 60160, 59960, 61615, 50917, 50460, 56125, 54270, 50461, 59480, 51157, 53370, 54270, 53949, 54270, 50799, 52647, 51025, 52158, 51056, 53362, 51542, 51771, 51162, 79503, 50744, 50333, 52727, 50913, 57515, 50862, 51992, 52720, 53016, 51801, 56447, 53201, 56063, 60931, 60160, 50917, 52819, 52917, 52647, 51312, 52158, 51267, 51771, 51056, 50913, 56375, 60519, 62733, 51191, 50432, 53362, 50864, 50945, 52755, 56240, 52896, 53362, 51878, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 52647, 51411, 51771, 51109, 52158, 51109, 60160, 75987, 57296, 53875, 61615, 50977, 50913, 65540, 50744, 50326, 52503, 50799, 53362, 51542, 52647, 51109, 51771, 51377, 52158, 51056, 79503, 59480, 50943, 50913, 57515, 54475, 50913, 60931, 52819, 52917, 52647, 51109, 51771, 51056, 52158, 51267, 60160, 50987, 50913, 56375, 60519, 60160, 58672, 53362, 50886, 50945, 52755, 56240, 52896, 53362, 51749, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 62733, 51003, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 52647, 51312, 51771, 51159, 52158, 51109, 50913, 57296, 53875, 61615, 59598, 65540, 53733, 54270, 53511, 54270, 53818, 54270, 51850, 58643, 50799, 51890, 51400, 51959, 51267, 53362, 51542, 51816, 51162, 79503, 61592, 50836, 77096, 53055, 50913, 57515, 50862, 51756, 58962, 52235, 55116, 50417, 57788, 54657, 59480, 51894, 50913, 60931, 52819, 52917, 51890, 51267, 51959, 51109, 51816, 51056, 50913, 56375, 53695, 53362, 50864, 50945, 52755, 56240, 52896, 53362, 51878, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 66681, 52503, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 51890, 51400, 51816, 51109, 51959, 51312, 50913, 57296, 53875, 50913, 50971, 50799, 53362, 51542, 51890, 51267, 51816, 51377, 51959, 51267, 50945, 61559, 57515, 54475, 50913, 60931, 52819, 52917, 51890, 51056, 51816, 51056, 51959, 51109, 50913, 56375, 53695, 53362, 50886, 50945, 52755, 56240, 57413, 77096, 53678, 50438, 53362, 51749, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 50913, 57515, 54247, 55301, 50917, 50913, 69875, 52819, 52805, 51890, 51267, 51816, 51159, 51959, 51312, 60160, 50917, 50913, 57296, 53875, 71078, 51162, 50913, 65540, 55575, 54270, 53370, 54270, 53949, 54270, 50799, 52647, 51025, 52158, 51056, 53362, 51542, 51771, 51162, 79503, 50744, 50333, 52988, 50913, 57515, 50862, 51992, 52720, 53016, 51801, 56447, 53201, 50420, 65619, 50977, 50913, 60931, 52819, 52917, 52647, 51312, 52158, 51267, 51771, 51056, 59212, 50917, 50913, 56375, 53695, 53362, 50864, 50945, 50828, 61592, 51191, 50913, 56240, 57413, 67410, 52212, 50438, 53362, 51878, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 50913, 57515, 54247, 50913, 69875, 60160, 50977, 52819, 52805, 52647, 51411, 51771, 51109, 52158, 51109, 50913, 57296, 53875, 71078, 51162, 50913, 65540, 50744, 50330, 52503, 50799, 53362, 51542, 52647, 51109, 51771, 51377, 52158, 51056, 50945, 61559, 57515, 54475, 65619, 51110, 50913, 60931, 52819, 52917, 52647, 51109, 51771, 51056, 52158, 51267, 50913, 56375, 56865, 59212, 65135, 53362, 50886, 50945, 52755, 56240, 52896, 53362, 51749, 52647, 51109, 51771, 51267, 52158, 51267, 50945, 50983, 61592, 51110, 50913, 57515, 54247, 50913, 66701, 61592, 51194, 50449, 52819, 52805, 52647, 51312, 51771, 51159, 52158, 51109, 50913, 57296, 53875, 61615, 50977, 50913, 65540, 53511, 54270, 53733, 54270, 53818, 54270, 50744, 50333, 52727, 51850, 58643, 50799, 51890, 51400, 51959, 51267, 53362, 51542, 51816, 51162, 79503, 61592, 51003, 50913, 57515, 50862, 51756, 58962, 52235, 55116, 56063, 60931, 59480, 54592, 50614, 52917, 51890, 51267, 51959, 51109, 51816, 51056, 50913, 56375, 67161, 57788, 78336, 60160, 74521, 53362, 50864, 50945, 52755, 56240, 52896, 53362, 51878, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 50913, 57515, 54247, 50913, 69875, 52819, 52805, 51890, 51400, 51816, 51109, 51959, 51312, 50913, 57296, 53875, 50913, 50971, 50799, 53362, 51542, 51890, 51267, 51816, 51377, 51959, 51267, 50945, 61559, 57515, 54475, 50913, 60931, 52819, 52917, 51890, 51056, 51816, 51056, 51959, 51109, 50913, 56375, 53695, 53362, 50886, 50945, 52755, 56240, 52896, 53362, 51749, 51890, 51056, 51816, 51267, 51959, 51109, 50945, 50983, 50913, 57515, 54247, 61592, 51100, 50913, 69875, 52819, 52805, 51890, 51267, 51816, 51159, 51959, 51312, 50913, 57296, 56269, 71078, 51110, 63908, 61545, 51863, 51445, 51881, 51671, 51743, 51449, 53718, 53678, 50461, 51850, 53142, 50799, 51890, 51025, 52092, 51056, 53168, 51542, 52158, 51162, 72258, 71078, 51112, 50913, 57515, 55692, 50829, 51760, 54171, 53016, 52062, 56063, 53107, 58646, 71078, 50917, 52819, 52917, 51890, 51312, 52092, 51267, 52158, 51056, 50913, 56375, 55004, 52818, 53168, 50864, 50953, 50828, 71078, 65129, 56240, 52291, 52621, 53168, 51878, 51890, 51109, 52158, 51267, 52092, 51267, 50953, 50983, 65917, 55748, 57515, 55692, 54656, 61592, 51191, 66164, 56685, 58145, 52819, 52805, 51890, 51411, 52158, 51109, 52092, 51109, 50913, 57296, 50380, 54297, 63908, 50370, 54297, 50458, 51711, 51243, 50459, 52033, 51671, 51615, 51449, 50460, 54307, 51922, 50461, 51992, 53142, 50799, 53359, 51542, 52126, 51109, 51771, 51377, 51959, 51056, 66035, 59480, 58831, 57515, 55692, 50829, 51971, 54171, 53085, 52062, 50419, 61592, 51006, 56063, 53107, 58646, 52819, 52917, 52126, 51109, 51771, 51056, 51959, 51267, 61592, 51145, 50913, 56375, 55004, 52818, 52569, 51803, 53359, 50886, 51011, 52755, 56240, 52291, 52621, 53359, 51749, 52126, 51109, 51771, 51267, 51959, 51267, 52577, 51047, 51011, 50983, 50913, 57515, 55692, 52875, 50913, 56685, 58145, 52819, 52805, 52126, 51312, 51771, 51159, 51959, 51109, 50913, 57296, 50380, 54297, 50456, 61592, 50977, 50913, 50370, 54297, 50458, 51838, 51243, 50459, 51743, 51671, 55815, 51671, 51656, 51449, 50461, 52235, 53142, 50799, 51890, 51400, 52092, 51267, 52951, 51542, 52158, 51162, 51186, 50807, 69489, 51346, 50913, 57515, 55692, 50829, 51850, 54171, 53727, 52062, 56063, 53107, 58646, 52819, 52917, 51890, 51267, 52092, 51109, 52158, 51056, 69489, 55063, 56375, 55004, 55001, 65210, 61721, 71078, 51291, 50432, 52951, 50864, 51186, 52755, 56240, 52291, 52621, 52951, 51878, 51890, 51056, 52158, 51267, 52092, 51109, 51186, 50983, 50913, 57515, 55692, 52875, 50913, 56685, 58145, 52819, 52805, 51890, 51400, 52158, 51109, 52092, 51312, 50913, 50370, 53120, 51116, 50832, 50380, 54297, 63908, 50370, 54297, 50461, 51165, 52482, 51251, 52482, 51107, 51412, 52819, 50863, 50799, 53897, 50974, 51890, 51100, 52158, 51100, 52092, 51178, 51133, 50967, 69489, 51215, 51154, 52059, 51690, 52034, 52487, 51576, 50913, 50370, 53823, 56935, 54101, 55004, 72007, 58741, 51165, 51797, 50423, 51890, 50873, 52158, 50901, 52092, 50892, 53897, 51277, 51133, 51060, 65210, 50967, 51251, 52034, 51154, 51309, 51733, 51852, 51926, 51852, 51107, 51337, 50913, 50371, 52388, 50369, 60084, 55047, 51909, 55004, 67926, 58607, 51165, 51074, 51154, 51432, 51107, 51079, 51201, 54100, 51890, 50897, 52158, 50925, 52092, 50878, 53897, 51008, 51133, 50938, 71078, 50917, 51384, 51079, 51690, 51174, 50913, 50371, 53315, 50367, 52388, 56935, 51909, 55004 ]

[ 0, 1121, 42, 765, 5175, 2214, 6, 10, 38668, 483, 1239, 5, 8036, 6, 7513, 30, 38668, 20535, 6, 32909, 6, 3459, 9590, 6, 8, 5951, 14744, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 590, 10, 1769, 20889, 9, 13950, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 230, 3694, 8, 1575, 10, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 272, 119, 6, 274, 401, 6, 8, 12608, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 980, 8, 3366, 6601, 6, 442, 24, 10686, 13, 10, 177, 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 ]

[ 56236, 53292, 50918, 52412, 50918, 52479, 56039, 52987, 50983, 52276, 50983, 52479, 68862, 52648, 52382, 53292, 52382, 52479, 52382, 50796, 50799, 52648, 50918, 53292, 50918, 52412, 56039, 53355, 50983, 52987, 50983, 52276, 68862, 55794, 52382, 52648, 52382, 53292, 52382, 50796, 50799, 53292, 50918, 52412, 50918, 52479, 56039, 52987, 50983, 52276, 50983, 52479, 68862, 52648, 52382, 53292, 52382, 52479, 52382, 50796, 50799, 52648, 50918, 53292, 50918, 52412, 56039, 53355, 50983, 52987, 50983, 52276, 68862, 55794, 52382, 52648, 52382, 53292, 52382, 50796, 50799, 54264, 51283, 52479, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 51835, 52343, 53626, 50319, 51631, 52412, 50795, 51507, 53626, 50306, 51428, 51628, 54256, 51283, 52479, 50807, 53367, 50983, 78161, 51485, 50983, 53354, 51646, 51507, 53626, 50306, 51428, 51820, 52412, 50795, 78161, 53354, 51798, 54025, 53233, 52276, 50983, 53857, 52382, 51704, 50800, 51431, 52382, 58417, 51428, 51754, 51704, 78421, 50795, 68154, 53626, 50304, 51428, 51835, 52412, 50983, 51704, 78421, 51631, 51704, 53626, 50304, 51428, 51628, 51704, 78421, 51646, 52276, 50865, 51704, 53626, 50304, 51428, 51820, 53292, 50865, 51704, 78421, 51798, 52648, 50865, 51704, 53626, 50304, 51428, 51754, 52648, 50865, 51704, 78421, 50795, 50799, 54025, 51283, 52479, 50807, 53857, 50983, 51704, 50800, 51431, 50983, 58417, 51428, 51835, 51704, 78421, 51631, 52412, 50865, 52237, 53626, 50302, 51428, 51628, 54685, 51283, 52479, 50807, 53774, 50983, 52237, 50800, 51723, 50983, 53354, 51646, 52237, 53626, 50302, 51428, 51820, 52412, 50865, 52237, 50800, 53354, 51798, 57755, 53233, 52276, 50983, 64011, 52382, 53724, 50800, 52211, 52382, 50731, 50300, 51428, 51754, 53724, 78421, 50795, 50799, 53724, 53626, 50300, 51428, 51835, 53292, 50807, 53724, 78421, 51631, 53724, 53626, 50300, 51428, 51628, 52648, 50865, 53724, 78421, 51646, 53112, 50865, 53724, 53626, 50300, 51428, 51820, 52412, 50865, 53724, 78421, 51798, 53292, 50865, 53724, 53626, 50300, 51428, 51754, 52648, 50865, 53724, 78421, 50795, 50799, 54264, 51283, 52479, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 51835, 52343, 53626, 50319, 51631, 52412, 50795, 51507, 53626, 50306, 51428, 51628, 54256, 51283, 52479, 50807, 53367, 50983, 78161, 51485, 50983, 53354, 51646, 51507, 53626, 50306, 51428, 51820, 52412, 50795, 78161, 53354, 51798, 54025, 53233, 52276, 50983, 53857, 52382, 51704, 50800, 51431, 52382, 58417, 51428, 51754, 51704, 78421, 50795, 68154, 53626, 50304, 51428, 51835, 52412, 50983, 51704, 78421, 51631, 51704, 53626, 50304, 51428, 51628, 51704, 78421, 51646, 52276, 50865, 51704, 53626, 50304, 51428, 51820, 53292, 50865, 51704, 78421, 51798, 52648, 50865, 51704, 53626, 50304, 51428, 51754, 52648, 50865, 51704, 78421, 50795, 50799, 54025, 51283, 52479, 50807, 53857, 50983, 51704, 50800, 51431, 50983, 58417, 51428, 51835, 51704, 78421, 51631, 52412, 50865, 52237, 53626, 50302, 51428, 51628, 54685, 51283, 52479, 50807, 53774, 50983, 52237, 50800, 51723, 50983, 53354, 51646, 52237, 53626, 50302, 51428, 51820, 52412, 50865, 52237, 50800, 53354, 51798, 57755, 53233, 52276, 50983, 64011, 52382, 53724, 50800, 52211, 52382, 50731, 50300, 51428, 51754, 53724, 78421, 50795, 50799, 53724, 53626, 50300, 51428, 51835, 53292, 50807, 53724, 78421, 51631, 53724, 53626, 50300, 51428, 51628, 52648, 50865, 53724, 78421, 51646, 53112, 50865, 53724, 53626, 50300, 51428, 51820, 52412, 50865, 53724, 78421, 51798, 53292, 50865, 53724, 53626, 50300, 51428, 51754, 52648, 50865, 53724, 78421, 50795, 50799, 54264, 51283, 52479, 50807, 54843, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 52343, 53626, 50319, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 52412, 50795, 52730, 50795, 51507, 53626, 50306, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 54256, 51283, 52479, 50807, 56361, 50807, 53367, 50983, 78161, 51485, 50983, 53354, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 51507, 53626, 50306, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 52412, 50795, 54326, 50795, 78161, 53354, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 54025, 53233, 52276, 50983, 60791, 50807, 53857, 52382, 51704, 50800, 51431, 52382, 58417, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 51704, 78421, 50795, 79150, 50864, 77906, 56517, 79150, 50864, 50799, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 52412, 50983, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 52276, 50865, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 53292, 50865, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 52648, 50865, 60791, 50800, 51704, 53626, 50304, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 52648, 50865, 60791, 50800, 51704, 78421, 50795, 79150, 50864, 77906, 70529, 50778, 50321, 62908, 79150, 50864, 50799, 54025, 51283, 52479, 50807, 54843, 50807, 53857, 50983, 51704, 50800, 51431, 50983, 58417, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 51704, 78421, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 52412, 50865, 52730, 50795, 52237, 53626, 50302, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 54685, 51283, 52479, 50807, 56361, 50807, 53774, 50983, 52237, 50800, 51723, 50983, 53354, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 52237, 53626, 50302, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 52412, 50865, 54326, 50795, 52237, 50800, 53354, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 57755, 53233, 52276, 50983, 60791, 50807, 64011, 52382, 53724, 50800, 52211, 52382, 50731, 50300, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 53724, 78421, 50795, 79150, 50864, 77906, 56517, 79150, 50864, 50799, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 53292, 50807, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 56909, 79150, 53272, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 50864, 50778, 50321, 71707, 79150, 50864, 77906, 56761, 52648, 50865, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 56784, 79150, 53945, 53112, 50865, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 57917, 79150, 50864, 77906, 57536, 52412, 50865, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 57060, 79150, 53996, 53292, 50865, 60791, 50800, 53724, 53626, 50300, 51428, 50800, 79150, 50864, 50778, 50321, 71982, 79150, 50864, 77906, 56077, 52648, 50865, 60791, 50800, 53724, 78421, 50795, 79150, 50864, 77906, 70529, 50778, 50321, 62908, 79150, 50864, 50799, 54264, 51283, 52479, 50807, 54843, 50807, 54888, 50983, 52343, 50800, 51641, 50983, 61279, 51428, 50800, 79150, 59834, 79150, 50864, 77906, 57311, 52343, 53626, 50319, 50795, 79150, 50864, 77906, 56909 ]

[ 0, 250, 182, 765, 37903, 9, 15855, 8, 5175, 930, 6, 4246, 10, 13305, 11, 5, 762, 9, 274, 538, 6, 19, 10, 881, 33215, 9, 274, 4, 20, 2125, 34, 10, 25306, 6, 2933, 6, 8, 9066, 619, 6, 8, 16, 3744, 23, 10, 182, 1769, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 71691, 50871, 54177, 50906, 52688, 50906, 53052, 50871, 52718, 50871, 53624, 50902, 54980, 50906, 53581, 50902, 50838, 54960, 54177, 50906, 52688, 50871, 53052, 50877, 52718, 50906, 56350, 50871, 52985, 50906, 53581, 50906, 50838, 54578, 54177, 50871, 52688, 50902, 55665, 50906, 52718, 50902, 53624, 50876, 52985, 50877, 53581, 50871, 50838, 54852, 54177, 50906, 54869, 50902, 53052, 50902, 52718, 50902, 53624, 50931, 52985, 50902, 53581, 50876, 50838, 54960, 54177, 50931, 52688, 50876, 53052, 50906, 52718, 50906, 53624, 50951, 52985, 50951, 53581, 50931, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 32076, 8, 15352, 30054, 1619, 2214, 14, 28337, 4785, 9, 3495, 8, 15855, 930, 6, 4246, 10, 6755, 12547, 6, 21979, 8669, 6, 2370, 21305, 6, 10170, 1499, 6, 8, 1076, 560, 31365, 25999, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 42, 2125, 3136, 23, 10, 182, 1769, 20889, 9, 27886, 13410, 228, 2289, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50641, 51034, 52013, 52670, 52013, 52904, 52013, 50891, 67833, 51335, 61159, 56303, 50882, 51667, 50800, 52142, 50821, 51284, 56535, 54113, 50795, 50436, 60529, 51010, 51721, 50880, 51394, 55381, 50641, 56594, 51306, 60309, 51306, 50448, 52780, 53030, 51306, 50449, 51304, 74451, 61591, 50908, 51034, 50642, 51793, 51016, 58485, 50803, 51643, 53558, 52538, 51916, 60776, 56303, 50894, 51667, 54149, 50872, 63752, 61283, 50841, 51690, 59343, 52348, 55477, 56623, 50821, 50428, 58485, 50930, 51643, 59093, 56303, 50894, 51667, 54773, 50643, 74279, 64278, 50818, 51690, 58162, 51539, 56068, 58485, 50930, 51643, 50809, 56623, 60159, 56303, 50962, 51667, 68168, 58485, 51460, 51643, 51016, 52487, 50943, 73831, 51235, 52120, 64565, 62087, 51500, 50426, 51098, 51235, 74279, 61283, 50818, 56623, 50980, 51690, 57691, 52348, 59551, 56303, 50823, 51667, 50921, 50437, 51304, 61148, 51216, 51235, 50872, 62372, 64278, 50884, 52780, 51460, 50816, 51539, 62078, 58485, 50803, 51643, 63500, 53258, 51460, 51384, 51162, 78459, 51090, 52120, 64565, 60448, 50811, 51633, 65602, 60529, 51010, 51721, 62588, 56623, 54856, 57584, 50939, 79368, 50841, 51690, 59343, 52348, 56344, 60448, 50962, 51633, 68487, 60529, 50962, 51721, 54957, 50872, 63073, 78955, 50828, 56623, 50803, 51690, 58162, 51539, 56068, 60448, 50962, 51633, 54815, 60529, 50962, 51721, 66429, 60448, 51072, 51633, 51055, 50691, 50338, 51227, 53089, 50943, 51034, 51793, 51235, 52120, 59509, 56623, 77224, 51984, 51235, 57584, 50939, 79368, 50846, 51690, 71491, 52348, 65760, 60529, 50803, 51721, 63892, 53258, 69203, 51389, 51235, 50872, 63073, 50884, 51007, 50884, 51384, 51267, 50816, 51539, 62078, 60448, 50803, 51633, 63500, 55034, 51603, 68423, 51016, 51733, 51056, 52120, 64565, 72241, 50811, 52113, 65602, 58485, 51010, 51643, 70576, 57293, 50882, 51926, 51631, 50868, 60753, 61283, 52538, 52348, 56344, 72241, 50811, 52113, 62725, 58485, 50962, 51643, 54957, 50868, 59681, 64278, 50884, 57293, 50921, 51926, 59343, 51539, 56866, 72241, 50950, 52113, 54651, 58485, 50811, 51643, 63154, 72241, 50993, 52113, 50896, 51304, 51400, 68423, 51235, 52780, 51454, 52120, 59509, 51384, 58193, 51389, 51235, 50868, 61574, 61937, 50846, 53258, 62769, 52348, 65760, 80126, 50976, 51993, 51192, 50437, 51733, 69205, 51984, 51235, 50868, 59681, 64278, 50884, 55034, 51500, 50816, 51539, 56068, 50720, 50335, 50975, 52372, 51167, 51034, 51793, 51235, 50872, 69504, 50883, 50909, 50884, 80126, 50894, 51993, 50858, 56623, 50921, 51690, 55855, 52538, 51437, 52966, 51150, 50893, 52780, 50803, 51304, 65001, 58485, 50950, 51643, 52686, 51261, 50893, 54113, 50894, 51394, 68484, 60529, 51010, 51721, 62256, 51284, 52599, 51216, 56567, 64143, 50909, 50883, 52142, 55024, 52538, 56502, 64481, 56303, 50811, 51667, 67106, 51951, 54651, 51098, 50893, 56226, 50811, 51652, 50880, 51182, 61841, 52249, 51010, 73831, 51173, 50872, 60782, 50884, 50909, 50846, 56541, 50803, 51831, 50821, 51201, 57567, 52538, 51437, 52904, 60106, 51788, 50806, 77323, 51093, 51079, 79103, 51882, 50806, 53725, 79258, 51873, 51377, 51531, 51112, 58485, 51238, 50440, 51667, 51221, 56594, 51306, 60309, 51306, 50448, 50816, 51306, 50449, 50816, 61591, 50908, 51034, 51793, 51016, 51032, 51274, 51788, 51274, 52142, 50983, 51093, 51965, 51284, 68113, 52538, 51916, 50891, 51882, 51274, 53725, 51274, 50415, 58485, 51300, 51667, 51562, 50416, 51873, 51115, 51531, 59492, 50885, 69263, 60782, 53500, 52348, 57320, 51873, 51255, 51531, 51162, 58485, 51055, 51667, 51221, 50438, 50885, 68203, 70743, 50818, 60106, 51788, 50806, 77323, 51093, 51079, 51284, 54792, 51539, 50841, 51882, 50806, 53725, 50806, 50449, 60448, 50887, 51721, 51103, 51034, 51666, 51080, 51389, 51016, 51067, 51274, 53019, 51274, 54113, 50983, 51107, 51965, 51394, 51189, 52120, 50870, 52086, 51274, 55412, 51274, 50415, 53438, 51749, 50420, 58485, 50882, 50425, 60448, 52422, 50848, 75808, 60782, 53500, 52348, 56748, 58485, 59321, 53438, 79410, 51531, 51124, 50848, 63538, 69504, 50884, 60106, 51788, 50806, 56303, 50859, 51667, 51056, 77323, 51093, 51079, 51284, 54792, 51539, 50841, 51882, 50806, 53725, 52692, 58485, 63500, 53438, 51400, 51034, 51531, 51400, 52078, 51235, 51032, 51160, 51788, 51160, 56303, 50924, 51667, 50866, 52142, 50991, 51093, 51852, 51284, 51124, 52120, 50891, 51882, 51160, 53725, 51160, 50421, 56226, 50880, 51652, 62588, 60529, 50840, 51633, 53548, 51994, 52069, 51988, 52071, 51984, 51235, 50848, 62048, 50846, 59902, 51064, 51585, 51563, 51585, 51951, 51036, 51165, 51671, 51182, 51307, 50816, 52348, 50820, 52077, 51585, 52908, 51585, 50433, 56303, 50962, 51643, 50962, 57385, 51235, 50848, 61031, 50895, 59902, 56226, 50890, 51721, 55960, 51539, 58829, 56541, 50880, 51667, 63500, 56588, 50894, 51652, 51014, 78459, 51235, 52120, 64040, 56334, 50821, 52522, 68057, 56588, 50880, 51652, 52422, 51261, 51235, 50847, 67131, 79368, 54382, 52348, 56657, 56541, 50962, 51667, 77451, 51988, 51112, 51666, 51112, 62145, 51235, 50847, 63073, 50884, 51007, 50846, 60848, 79773, 56226, 51010, 51721, 50950, 51951, 50795, 51165, 51079, 51182, 54792, 51539, 50828, 52077, 50806, 52908, 52692, 56303, 50950, 51643, 50950, 51034, 51666, 51291, 51988, 51291, 73709, 51064, 51274, 51563, 51274, 60529, 52097, 51652, 51562, 51951, 50983, 51165, 51965, 51182, 51189, 52120, 50891, 52077, 51274, 52908, 74189, 50847, 67131, 79368, 53396, 52348, 56305, 51666, 51267, 51988, 51377, 50438, 50847, 76161, 78955, 50884, 60848, 79773, 60529, 51500, 51652, 51400, 51951, 50795, 51165, 51079, 51182, 54792, 51539, 50828, 52077, 50806, 52908, 50806, 50449, 58485, 50800, 68423, 51016, 51032, 51285, 51788, 51285, 51667, 50983, 52142, 51291, 51093, 52263, 51284, 51413, 52120, 50870, 51882, 51285, 53725, 51285, 50415, 51988, 51417, 52393, 51446, 50420, 60529, 68057, 58485, 52422, 50868, 62048, 50884, 50909, 53396, 52348, 52925, 60529, 51724, 50868, 50846, 60113, 50909, 50818, 60848, 79773, 56303, 50859, 51652, 51116, 51951, 50795, 51165, 51079, 51182, 54792, 51539, 50828, 52077, 50806, 52908, 79258, 51988, 51377, 52393, 76097, 56226, 63500, 56226, 50936, 51034, 51988, 51411, 52393, 51775, 51140, 51235, 50872, 61045, 61937, 50839, 51064, 51160, 51563, 51160, 51652, 50805, 51951, 50991, 51165, 51852, 51182, 51124, 52120, 50870, 52077, 51160, 52908, 72101, 56541, 50858, 51831, 54007, 56588, 50812, 52376, 54149, 51531, 51790, 51873, 51803, 51216, 51235, 50872, 61045, 61937, 50839, 50947, 51685, 51438, 51685, 52249, 79383, 51447, 51201, 51103, 50816, 53796, 50820, 51855, 51685, 52561, 51685, 50431, 56541, 51010, 51831, 56341, 51150, 51235, 50872, 69504, 50883, 50909, 50895, 56303, 50930, 51667, 56409, 54147, 52875, 58485, 50962, 51643, 76973, 80126, 50811, 51993, 50930, 51034, 51793, 51235, 50872, 70743, 50883, 50909, 54285, 52538, 51750, 50891, 56594, 51306, 60309, 51306, 50448, 50816, 51306, 50449, 50816, 61591, 50908, 51034, 51793, 51235, 51032, 57231, 52538, 51916, 52966, 50872, 60782, 61283, 50846, 57360, 50816, 52348, 52600, 50872, 66093, 50884, 50909, 50884, 51032, 60223, 51539, 50841, 68423, 51235, 51438, 51196, 52120, 52872, 50872, 62372, 64278, 52538, 52348, 52950, 50872, 69504, 50895, 50909, 50895, 51788, 60223, 51539, 50841, 51034, 51793 ]

[ 0, 250, 15352, 30054, 5175, 14123, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 2342, 4467, 816, 5, 483, 33301, 6, 7513, 30, 38668, 18569, 6, 13305, 6, 2236, 1021, 2678, 29, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 274, 10431, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 2635, 8, 19448, 5466, 19, 12577, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50799, 51429, 51359, 51639, 51307, 52591, 51429, 50977, 51639, 60086, 51777, 51100, 52070, 51121, 50435, 51777, 51103, 52070, 51183, 50799, 51429, 51359, 51639, 51307, 52591, 51429, 50942, 51639, 57629, 51777, 51121, 52070, 51121, 50435, 51777, 51077, 52070, 51077, 50441, 52646, 59586, 53926, 62749, 52646, 51351, 51899, 50930, 51453, 50846, 72722, 51991, 51415, 50952, 51136, 52071, 51078, 52069, 51316, 51364, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 53576, 51494, 51486, 52112, 51694, 52975, 51415, 50940, 51076, 51336, 55837, 51419, 56660, 51134, 52120, 60631, 51415, 52599, 52480, 50977, 52914, 51006, 52112, 50442, 51415, 53044, 51213, 50859, 52433, 50812, 52642, 54436, 51044, 53533, 51415, 50952, 52480, 50917, 52914, 50978, 55783, 51380, 60245, 71491, 53563, 52022, 50952, 52156, 51056, 52525, 51380, 52112, 50460, 51415, 53345, 58660, 51311, 52071, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51991, 51064, 51343, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51115, 54876, 51189, 52455, 52432, 52156, 50887, 52525, 53340, 52437, 52156, 50917, 52525, 63658, 60759, 71857, 53705, 51325, 50859, 51169, 51336, 52156, 50854, 52525, 50827, 55521, 51080, 56817, 51183, 56559, 50873, 52120, 61385, 51325, 53813, 52604, 50977, 52655, 51006, 71857, 50873, 52120, 60547, 51105, 54305, 51213, 50859, 52604, 50808, 52655, 50844, 63104, 50866, 52112, 50449, 71857, 53886, 76442, 52604, 50917, 52655, 50978, 56559, 67041, 53563, 74454, 52156, 51110, 52525, 51337, 71857, 54042, 56904, 51136, 52069, 72722, 51991, 51415, 50952, 51078, 52392, 51316, 51189, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 53576, 51494, 51486, 52083, 50930, 52708, 50840, 63032, 52480, 50948, 52914, 58473, 61426, 51213, 52925, 51415, 50940, 51076, 50918, 52480, 50930, 52914, 50840, 55837, 51419, 56660, 51134, 52093, 50436, 51415, 52599, 52480, 50865, 52914, 50866, 52112, 50442, 51415, 53044, 51213, 50859, 52433, 50930, 52642, 53345, 51044, 53533, 51415, 50952, 52480, 50924, 52914, 50977, 55783, 51380, 60245, 71491, 53563, 52022, 50952, 52156, 50879, 52525, 50901, 52112, 50460, 51415, 53345, 58660, 51311, 51313, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51445, 51064, 50983, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51318, 54876, 51189, 52455, 52432, 52156, 50809, 52525, 51559, 58423, 50801, 52870, 52156, 50938, 52525, 66610, 61426, 51105, 60426, 71857, 53810, 51325, 50859, 51169, 51591, 52156, 50840, 52525, 50857, 55521, 51080, 56817, 51183, 56559, 50845, 52112, 50436, 51325, 53813, 52156, 50938, 52525, 50987, 71857, 50873, 52112, 50442, 51325, 54109, 52210, 51213, 50859, 52156, 50809, 52525, 50813, 63104, 50873, 53552, 53533, 76442, 52251, 50901, 52753, 50838, 56559, 57652, 53563, 51213, 50830, 52083, 51194, 52708, 51309, 60552, 53021, 50818, 72722, 51991, 51205, 50952, 51136, 52071, 51078, 52069, 51316, 51364, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 53576, 51494, 51486, 63032, 52083, 50924, 52708, 63305, 52975, 51415, 50940, 51076, 51336, 55837, 51419, 56660, 51134, 52120, 60631, 51415, 52599, 52480, 50865, 52914, 50866, 52112, 50442, 51415, 53044, 51213, 50859, 52433, 50859, 52642, 54312, 51044, 53533, 51415, 50952, 52480, 50938, 52914, 50987, 55783, 51380, 60245, 71491, 53563, 52022, 50952, 52156, 51177, 52525, 51277, 52112, 50460, 51415, 53345, 58660, 51311, 52071, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51991, 51064, 51343, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51318, 54876, 51189, 52455, 52432, 52156, 50836, 52525, 53065, 52437, 52156, 50865, 52525, 56466, 60759, 71857, 53705, 51325, 50859, 51169, 51336, 52156, 50836, 52525, 50867, 55521, 51080, 56817, 51183, 56559, 50873, 52120, 61385, 51325, 53813, 52604, 50866, 52655, 51174, 71857, 50873, 52120, 60547, 51325, 52986, 51213, 50859, 52604, 50833, 52655, 50874, 63104, 50866, 52112, 50449, 71857, 53886, 76442, 52604, 50977, 52655, 51006, 56559, 67041, 53563, 74454, 52156, 50901, 52525, 50838, 71857, 54042, 56904, 51136, 52069, 72722, 51991, 51415, 50952, 51078, 52392, 51316, 51189, 52252, 53678, 53034, 53678, 53608, 53678, 54415, 51922, 54571, 51922, 55862, 51391, 58358, 51115, 71857, 51422, 52455, 63244, 52156, 50836, 52525, 55105, 51494, 51486, 52112, 50425, 52480, 50866, 52914, 51174, 51694, 61426, 51213, 60426, 52480, 50808, 52914, 53513, 51415, 50940, 51076, 50918, 55837, 51419, 56660, 51134, 52093, 50436, 51415, 52599, 52433, 51060, 52642, 51101, 52112, 50442, 51415, 53044, 51213, 53841, 51044, 61587, 52480, 50849, 52914, 54323, 51415, 50952, 55783, 51380, 60245, 71491, 60715, 52156, 50845, 52525, 57092, 52022, 50952, 52112, 50460, 51415, 53345, 58660, 51311, 51313, 74421, 51293, 52040, 51036, 51561, 51655, 51325, 50924, 51136, 51445, 51064, 50983, 52252, 53678, 53034, 53678, 54229, 53678, 54415, 51922, 54571, 51922, 54142, 51318, 54876, 51189, 52455, 58100, 52156, 50808, 52525, 50844, 51039, 58423, 50801, 52870, 52156, 50925, 52525, 67831, 61426, 51105, 60426, 52156, 50833, 52525, 54221, 51325, 50859, 51169, 51591, 55521, 51080, 56817, 51183, 52112, 50436, 51325, 58566, 52604, 50938, 52655, 50987, 51570, 60547, 51325, 54109, 52210, 51213, 50859, 52604, 50840, 52655, 54355, 51239, 53533, 76442, 52156, 51121, 52655, 67041, 60715, 52525, 51199, 50456, 51213, 52744, 53902, 51827, 50849, 79362, 51313, 51777, 51241, 51205, 51013, 51136, 52071, 51078, 52069, 51316, 51364, 53654, 51748, 55340, 52136, 56679, 51748, 52455, 55927, 52251, 54657, 52083, 50886, 73515, 52251, 50925, 51694, 59485, 52083, 66142, 52161, 55100, 51429, 51675, 51415, 50940, 51076, 51336, 54008, 52980, 52120, 60631, 51415, 50808, 51570, 60547, 51415, 53044, 51213, 50859, 52161, 53933, 51044, 53533, 51415, 50952, 51789, 57353, 53563, 52022, 50952, 52083, 50943, 52112, 50460, 51415, 53345, 58660, 51311, 52071, 70527, 51243, 51308, 51218, 51325, 50924, 51136, 51991, 51064, 51343, 53361, 52136, 54008, 51748, 56679, 51748, 52455, 59335, 52437, 51789, 73135, 52975, 51512, 51675, 51325, 50859, 51169, 51336, 52161, 51484, 54165, 52980, 52120, 61385, 51325, 50840, 63664, 60547, 51105, 54305, 51213, 50859, 68698, 76442, 52156, 73135, 53563, 51186, 52744, 53902, 51827, 72914, 51136, 52069, 79362, 51313, 51777, 51241, 51415, 50952, 51078, 52392, 51316, 51189, 53654, 51748, 55340, 52136, 56679, 51748, 52455, 55927, 52251, 54657, 52083, 50886, 73515, 52251, 50925, 51694, 59485, 52083, 66142, 51213, 50839, 52161, 55100, 51429, 51675, 51415, 50940, 51076, 50918, 54008, 52980, 52093, 50436, 51415, 50808, 51570, 60547, 51415, 53044, 51213, 50859, 52161, 53933, 51044, 53533, 51415, 50952, 51789, 57353, 53563, 52022, 50952, 52083, 50943, 52112, 50460, 51415, 53345, 58660, 51311, 51313, 70527, 51243, 51308, 51218, 51325, 50924, 51136, 51445, 51064, 50983, 53361, 52136, 54008, 51748, 56679, 51748, 52455, 59335, 58423, 50801, 52870, 51789, 73135, 61426, 51105, 52925, 51512, 51675, 51325 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 272, 10431, 3694, 6, 4246, 10, 15352, 30054, 11739, 9, 2933, 8, 1372, 23225, 6, 20307, 149, 10, 881, 13931, 9, 163, 119, 1176, 406, 6, 2060, 119, 406, 6, 230, 10431, 73, 534, 10431, 6, 12608, 6, 8, 163, 401, 40286, 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, 0, 0, 0, 0, 0 ]

[ 58375, 51503, 52115, 50956, 51631, 51503, 51736, 50956, 51646, 51503, 51918, 50956, 51798, 51503, 51923, 50973, 50795, 58439, 52115, 50906, 51631, 51503, 51736, 50989, 51646, 51503, 51918, 50956, 51798, 51503, 51923, 79620, 57551, 52115, 50956, 51631, 51315, 51736, 50956, 51646, 51315, 51918, 51028, 51798, 51315, 51923, 50973, 50795, 57497, 52115, 50973, 51631, 51360, 51736, 50906, 51646, 51360, 51918, 50989, 51798, 51360, 51923, 79620, 58439, 52115, 50956, 51631, 51503, 51736, 50956, 51646, 51503, 51918, 50965, 51798, 51503, 51923, 50965, 50795, 58439, 52115, 50906, 51631, 51503, 51736, 50973, 51646, 51503, 51918, 51028, 51798, 51503, 51923, 51001, 50795, 57551, 52115, 51028, 51631, 51315, 51736, 51028, 51646, 51315, 51918, 50973, 51798, 51315, 51923, 50973, 50795, 57497, 52115, 50906, 51631, 51360, 51736, 50965, 51646, 51360, 51918, 50906, 51798, 51360, 51923, 50973, 50795, 57551, 52115, 50973, 51631, 51315, 51736, 50973, 51646, 51315, 51918, 51028, 51798, 51315, 51923, 50973, 50795, 57551, 52115, 50906, 51631, 51315, 51736, 50989, 51646, 51315, 51918, 50956, 51798, 51315, 51923, 50916, 50795, 57497, 52115, 50916, 51631, 51360, 51736, 50916, 51646, 51360, 51918, 51028, 51798, 51360, 51923, 50973, 50795, 57497, 52115, 50906, 51631, 51360, 51736, 50973, 51646, 51360, 51918, 50906, 51798, 51360, 51923, 79620, 58439, 52115, 50956, 51631, 51503, 51736, 50956, 51646, 51503, 51918, 50965, 51798, 51503, 51923, 50965, 50795, 58439, 52115, 50906, 51631, 51503, 51736, 50973, 51646, 51503, 51918, 51028, 51798, 51503, 51923, 50916, 50795, 57497, 52115, 50916, 51631, 51360, 51736, 50916, 51646, 51360, 51918, 51028, 51798, 51360, 51923, 50973, 50795, 57551, 52115, 50973, 51631, 51315, 51736, 50906, 51646, 51315, 51918, 50989, 51798, 51315, 51923, 79620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 25771, 2125, 4246, 10, 13305, 816, 5, 483, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 5679, 26709, 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 ]

[ 57528, 64908, 54869, 51848, 56389, 51848, 54980, 51848, 50932, 54955, 51419, 51086, 51417, 50899, 73327, 51417, 51137, 51183, 52187, 51318, 61052, 51318, 53817, 51148, 52137, 51148, 52769, 51189, 51614, 51189, 51434, 51189, 51808, 51162, 51976, 69764, 53611, 51835, 51881, 51283, 52886, 51283, 67991, 50426, 51615, 51003, 54307, 61737, 56823, 64231, 51628, 51026, 50878, 52187, 51058, 61052, 51058, 67991, 50438, 51378, 51419, 51027, 51417, 50899, 51417, 50989, 51417, 51640, 51183, 57633, 51047, 52332, 51145, 53129, 51047, 55248, 51145, 56194, 51189, 51440, 51189, 51669, 51189, 51976, 53540, 51820, 53389, 52441, 52430, 52441, 52029, 52080, 51955, 56823, 64231, 51754, 51378, 50878, 51881, 51142, 52886, 51142, 50801, 76840, 57551, 51419, 51086, 51417, 50916, 73327, 51417, 51374, 51183, 51615, 51318, 54307, 51318, 56617, 51148, 52225, 51148, 55243, 51189, 52745, 51189, 51434, 51189, 51808, 51189, 51976, 54853, 51835, 53541, 51283, 53499, 51283, 51230, 52080, 50426, 52033, 51003, 53828, 61737, 56823, 64231, 51628, 51315, 50878, 51615, 51058, 54307, 51058, 51190, 52080, 50438, 51086, 51145, 50899, 51145, 50989, 51145, 51857, 51191, 62146, 51047, 51881, 51145, 52187, 51047, 52886, 51145, 58748, 51189, 52745, 51189, 51434, 51189, 51669, 51100, 60627, 51820, 57633, 52441, 53129, 52441, 51340, 52080, 51955, 56823, 64231, 51754, 51857, 50805, 53541, 51142, 53499, 51142, 50801, 76840, 55547, 51419, 51027, 51417, 50900, 51417, 50916, 51417, 51349, 51191, 52133, 51318, 52626, 51318, 59439, 51148, 51656, 51148, 52806, 51162, 51660, 51162, 51607, 51162, 60627, 51835, 56617, 51283, 52225, 51283, 51230, 52080, 50426, 53389, 51003, 52430, 51003, 52806, 50917, 51614, 50917, 51808, 75478, 56823, 64231, 51628, 51279, 50878, 72651, 52133, 51058, 52626, 51058, 52806, 50917, 51660, 50917, 51607, 50917, 67991, 66240, 51911, 50301, 62649, 58532, 50943, 51181, 51003, 55430, 51097, 51615, 51003, 51838, 51097, 54307, 51003, 53722, 51189, 51440, 51189, 60627, 66027, 57799, 50450, 51120, 51911, 50301, 62649, 65593, 50943, 51181, 51003, 55430, 51097, 52332, 51003, 51838, 51097, 55248, 61737, 56823, 64231, 51754, 67991, 55524, 51145, 50861, 51145, 72734, 50876, 51145, 51132, 51191, 51656, 51318, 55815, 51318, 54720, 51148, 52036, 51148, 53369, 51162, 51660, 51162, 51440, 51162, 51607, 51162, 51976, 54853, 51835, 52133, 51283, 52626, 51283, 51230, 52080, 50426, 51743, 51003, 53718, 51003, 53369, 50917, 51614, 50917, 51434, 50917, 51808, 75478, 56823, 64231, 51628, 65248, 51656, 51058, 55815, 51058, 53369, 51103, 51660, 51103, 51607, 51103, 51190, 52080, 66240, 51911, 50301, 62649, 58532, 50943, 51181, 51003, 55430, 51097, 51615, 51003, 51838, 51097, 54307, 51003, 60627, 66027, 65936, 50450, 51120, 51911, 50301, 62649, 65593, 50943, 51181, 51003, 55430, 51097, 52332, 51003, 51838, 51097, 55248, 61737, 56823, 64231, 51754, 50801, 76840, 57542, 51145, 50899, 51145, 50861, 51145, 51137, 51183, 52187, 51318, 61052, 51318, 53817, 51148, 52137, 51148, 52769, 51189, 51614, 51189, 51434, 51189, 51808, 51189, 60627, 51835, 51881, 51283, 52886, 51283, 67991, 50426, 51615, 51003, 54307, 61737, 56823, 64231, 51628, 52187, 51058, 61052, 51058, 67991, 55827, 51183, 55430, 51145, 52033, 51148, 51838, 51145, 53828, 51148, 56194, 53259, 51614, 53259, 51440, 53259, 51669, 53259, 60627, 51820, 51027, 51484, 75099, 50989, 51484, 53389, 52136, 52430, 52136, 67991, 51955, 56823, 64231, 51754, 51027, 50933, 63383, 50989, 50933, 51881, 51210, 52886, 51210, 67991, 57551, 51419, 51086, 51417, 50916, 73327, 51417, 51374, 51191, 56617, 51047, 51615, 51145, 52225, 51047, 54307, 51145, 55243, 51189, 52745, 51189, 51434, 51189, 51808, 51189, 51976, 54853, 51835, 53541, 52441, 53499, 52441, 51230, 52080, 51768, 56823, 64231, 51628, 51315, 50878, 51374, 50805, 52033, 51142, 53828, 51142, 51190, 52080, 50438, 51324, 51419, 51086, 51417, 50899, 51417, 50989, 51417, 51857, 51183, 51881, 51318, 52886, 51318, 62146, 51148, 52187, 51148, 58748, 51189, 52745, 51189, 51434, 51189, 51669, 51162, 60627, 51820, 57633, 51283, 53129, 51283, 51340, 52080, 50450, 53541, 51003, 53499, 61737, 56823, 64231, 51754, 51324, 50878, 51881, 51058, 52886, 70263, 76840, 55547, 72272, 60015, 59391, 50943, 51349, 51003, 59439, 51097, 52133, 51003, 51656, 51097, 52626, 51003, 56090, 51162, 52806, 51162, 51660, 51162, 51607, 51162, 60627, 59078, 57799, 70161, 51911, 50303, 62649, 58532, 50943, 51338, 51003, 55793, 51097, 52187, 51003, 51711, 51097, 61052, 51003, 54437, 50917, 51614, 50917, 51434, 50917, 51808, 75478, 56823, 64231, 51628, 54437, 50917, 51660, 50917, 51434, 50917, 51607, 50917, 67991, 66240, 51911, 50301, 62649, 58532, 50943, 51181, 51003, 55430, 51097, 51615, 51003, 51838, 51097, 54307, 51003, 53722, 51189, 51440, 51189, 60627, 66027, 57799, 50450, 51120, 51911, 50301, 62649, 65593, 50943, 51181, 51003, 55430, 51097, 52332, 51003, 51838, 51097, 55248, 61737, 56823, 64231, 51754, 67991, 50459, 53722, 50836, 51614, 50836, 51434, 50836, 54795, 51353, 51086, 51351, 50899, 51141, 50861, 51218, 51137, 51991, 52769, 51189, 52745, 51189, 51614, 51189, 51434, 51189, 60627, 51835, 53817, 51894, 52137, 51894, 51553, 59318, 50423, 51881, 51790, 52886, 51790, 50426, 51615, 51448, 54307, 51448, 51068, 71453, 53611, 51628, 51027, 51977, 50899, 51623, 50861, 51623, 51656, 50977, 55815, 50977, 52234, 55801, 59318, 50438, 52187, 51481, 61052, 51481, 50801, 56234, 53187, 53189, 51820, 51656, 51481, 55815, 51481, 51289, 53255, 52085, 53567, 51615, 51775, 54307, 51775, 51068, 67614, 53611, 51754, 51137, 50897, 52095, 52054, 65936, 50457, 51881, 50978, 52886, 50978, 56310, 51419, 51040, 51417, 50916, 51417, 79379, 51349, 51183, 53389, 51145, 52187, 51148, 52430, 51145, 61052, 51148, 52806, 51189, 51660, 51189, 51440, 51189, 52361, 51162, 51976, 69764, 53611, 51835, 52033, 52136, 53828, 52136, 67991, 51768, 56823, 64231, 51628, 70093, 51656, 51210, 55815, 51210, 67991, 56618, 51191, 55148, 51047, 52255, 51145, 53188, 51047, 56726, 51145, 54632, 51189, 51808, 51189, 52043, 51189, 51976, 53540, 51820, 51086, 51484, 50916, 51484, 50965, 51484, 53541, 52441, 53499, 52441, 52029, 52080, 51955, 56823, 64231, 51754, 77469, 60471, 50965, 50933, 51602, 50805, 52033, 51142, 53828, 51142, 50801, 76840, 59130, 51419, 51040, 51417, 50989, 51417, 79379, 51640, 51183, 51656, 51318, 55815, 51318, 57633, 51148, 53129, 51148, 56194, 51189, 52435, 51189, 51440, 51189, 52361, 51189, 60627, 51835, 53100, 51283, 53976, 51283, 67991, 50426, 52332, 51003, 55248, 61737, 56823, 64231, 51628, 51378, 50878, 51656, 51058, 55815, 51058, 67991, 50438, 51360, 51419, 51040, 51417, 50916, 51417, 50965, 51417, 51957, 51191, 60515, 51047, 52033, 51145, 52414, 51047, 53828, 51145, 56922, 51189, 52435, 51189, 51440, 51189, 52043, 51100, 60627, 51820, 55148, 52441, 53188, 52441, 67991, 51955, 56823, 64231, 51754, 51360, 50878, 51957, 50805, 53100, 51142, 53976, 51142, 50801, 76840, 59373, 51191, 51881, 51318, 52886, 51318, 62146, 51148, 52187, 51148, 52745, 51162, 51944, 51162, 51669, 51162, 60627, 51835, 51086, 51484, 75099, 50989, 51484, 57633, 51283, 53129, 51283, 51230, 52080, 50426, 53541, 51003, 53499, 51003, 52745, 50917, 51660, 50917, 52361, 75478, 56823, 64231, 51628 ]

[ 0, 250, 3152, 2214, 19, 5175, 4785, 6, 17407, 30, 63, 2933, 8, 15352, 30054, 5466, 6, 3185, 30, 5, 20425, 3222, 5785, 9, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 21072, 6, 8, 10, 20535, 2810, 4, 8504, 11, 5, 762, 9, 211, 3694, 8, 23396, 30, 10, 748, 1879, 15525, 20889, 6, 24, 30853, 19, 41, 9066, 8, 814, 12, 21330, 16464, 6, 4246, 10, 33215, 16739, 9, 230, 6, 272, 6, 274, 401, 6, 211, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50796, 50436, 51344, 53945, 51211, 58978, 51344, 63107, 51075, 57299, 51046, 72584, 51348, 72647, 51046, 63729, 51348, 51797, 55753, 51063, 52980, 50428, 51075, 53486, 51063, 52916, 50796, 51809, 51155, 51080, 55910, 51115, 50435, 57721, 51080, 50439, 51222, 51477, 51601, 51063, 50838, 51075, 51277, 50418, 58438, 58506, 57779, 51753, 50428, 51075, 51309, 50429, 51063, 51309, 58438, 53380, 50442, 51075, 51423, 50443, 51063, 54143, 50449, 51143, 77228, 51075, 52222, 76501, 58438, 51241, 50452, 51075, 51542, 51063, 51477, 52177, 57721, 51134, 50419, 51143, 61271, 55910, 51100, 50433, 51075, 51423, 50434, 51063, 51328, 50439, 55297, 75406, 55910, 53259, 50447, 51075, 51534, 50448, 51063, 51328, 50461, 51075, 51423, 64440, 51775, 50421, 51143, 51328, 50427, 51075, 52222, 50428, 51063, 52222, 55753, 55910, 51294, 50423, 51075, 51172, 51063, 51484, 50430, 51143, 51381, 50437, 55297, 58647, 51222, 51423, 51143, 51534, 50452, 55297, 51192, 51809, 51143, 51277, 55297, 72802, 51222, 51484, 50421, 55329, 51233, 50422, 51348, 51309, 50429, 55297, 52500, 50430, 51143, 52062, 50431, 51222, 52062, 60212, 51143, 51328, 51222, 51534, 50426, 55297, 51159, 50430, 51348, 51477, 50435, 55329, 51091, 50448, 51143, 77072, 51222, 51534, 55297, 51159, 51809, 51222, 51058, 51143, 50974, 55910, 51025, 50427, 55297, 50967, 50428, 51222, 51423, 51143, 51423, 50434, 55329, 51233, 50435, 51348, 51058, 50441, 55291, 51293, 50443, 51063, 52222, 50444, 51386, 52222, 50796, 50440, 51611, 51381, 55329, 51226, 50455, 51942, 52140, 50456, 55291, 51419, 56020, 51063, 52826, 50423, 51075, 52826, 50424, 58438, 52045, 50796, 50444, 51611, 51283, 50449, 55329, 51162, 50461, 51942, 51627, 51601, 55291, 51134, 50432, 51075, 52826, 51063, 52826, 58438, 53259, 50796, 50458, 51155, 51477, 52478, 57721, 51680, 50428, 51222, 51484, 50444, 51063, 67446, 51075, 57060, 58438, 77055, 51063, 50838, 51075, 51277, 50461, 58438, 50873, 57731, 51075, 51277, 50424, 51063, 69029, 58438, 51242, 50431, 51143, 51328, 50437, 51075, 52015, 50438, 51063, 54143, 58438, 51422, 52177, 51046, 51097, 50429, 51348, 51542, 50431, 58438, 51025, 50441, 57721, 51097, 50443, 51143, 51775, 50454, 55910, 51124, 50455, 51075, 51328, 51063, 51423, 55753, 51063, 50974, 51075, 51328, 55910, 67449, 51075, 51423, 51063, 52222, 55910, 51158, 50440, 55297, 51100, 50441, 51143, 50974, 50446, 51075, 52015, 50447, 55910, 51585, 75695, 51063, 51337, 51075, 51480, 50440, 51075, 51423, 50441, 51063, 51749, 50442, 55910, 67636, 55297, 50981, 50448, 51143, 51097, 52177, 51143, 51423, 50418, 51222, 51277, 50419, 55297, 79935, 66745, 51222, 50932, 55297, 55122, 64421, 55329, 50845, 50442, 55297, 71493, 51143, 52062, 50446, 51222, 51592, 50453, 55297, 51452, 61627, 51143, 51423, 50439, 51222, 75576, 55297, 51112, 50446, 51348, 78378, 55329, 51097, 50799, 55297, 50915, 50416, 51143, 50974, 51222, 51328, 50428, 51143, 51328, 55910, 57102, 51222, 68861, 51222, 51328, 51143, 51328, 55297, 51100, 50447, 51348, 51008, 50448, 55329, 51101, 50454, 55291, 52071, 50455, 51063, 52222, 51386, 52222, 76501, 55329, 51541, 50452, 51611, 50995, 52177, 51942, 51148, 55291, 51318, 50432, 51075, 55408, 50433, 51063, 55408, 58438, 52821, 50796, 52591, 51611, 51283, 50422, 55329, 51566, 50437, 51942, 51627, 55291, 51965, 50456, 57721, 50837, 58438, 52919, 50457, 51063, 54143, 51075, 54143, 50796, 50796, 51658, 56583, 51031, 50440, 51326, 51031, 52129, 57276, 51289, 77300, 51326, 56385, 51456, 54844, 50811, 59986, 50388, 51985, 51031, 50799, 51611, 51029, 52576, 51496, 51206, 56583, 51505, 54833, 51029, 55865, 51496, 54295, 51496, 50416, 52103, 51029, 52389, 50824, 50431, 51063, 51446, 51075, 51446, 50432, 51598, 51141, 50852, 50936, 55282, 51091, 52719, 51274, 50433, 55291, 51745, 51963, 51059, 50436, 50843, 51192, 62434, 63816, 51611, 52097, 54833, 52512, 52103, 51274, 50450, 52576, 51285, 51206, 52784, 51496, 55865, 51496, 54295, 51059, 50451, 50852, 50882, 52177, 55282, 51585, 52719, 53174, 50419, 51063, 51141, 51963, 51407, 50420, 51075, 51141, 55291, 51300, 50423, 51598, 51204, 50427, 50798, 54362, 51611, 50893, 52576, 51237, 57721, 51138, 50439, 50852, 56409, 69455, 58438, 52284, 51063, 51227, 51075, 51227, 51598, 54796, 50866, 50449, 58438, 52175, 51611, 50896, 51598, 70811, 51160, 50451, 50852, 62223, 57721, 50860, 65409, 53174, 51704, 51486, 51206, 58842, 50798, 51095, 50417, 58438, 52038, 51063, 61846, 50991, 58438, 52119, 58438, 61546, 50816, 63747, 50852, 52965, 50581, 51022, 50443, 50843, 75553, 57779, 50975, 50449, 51521, 51189, 51206, 55254, 51348, 51191, 52343, 58747, 51013, 50461, 57779, 50860, 52478, 58438, 68107, 51348, 50882, 51521, 51008, 52343, 59432, 50816, 57480, 51521, 50882, 51348, 51033, 52343, 52972, 50975, 50427, 50852, 54974, 52343, 54259, 51521, 50882, 58438, 50824, 50437, 51632, 51646, 51348, 51033, 51521, 65678, 63747, 50852, 59779, 51598, 51218, 50443, 50843, 59187, 51143, 51496, 51222, 51496, 51289, 62485, 51206, 77300, 58438, 53851, 57721, 57891, 58438, 51072, 57613, 55273, 50816, 50860, 78855, 62343, 51505, 55865, 51189, 55282, 50844, 54295, 51059, 52103, 51496, 50415, 51611, 51685, 50852, 50884, 54833, 51029, 52389, 58542, 55282, 51413, 50431, 51063, 51204, 55291, 68025, 51075, 51204, 51598, 51115, 50852, 50813, 52719, 51496, 51963, 51761, 50434, 50852, 59646, 51206, 54898, 54328, 58710, 51611, 51551, 52576, 51472, 50852, 54451, 51496, 54833, 51029, 52103, 51364, 55865, 52195, 54295, 51029, 52478, 55291, 57214, 55282, 51422, 52719, 53174, 51963, 51009, 50423, 51063, 51077, 51598, 51134, 50424, 51075, 67297, 50852, 66770, 50798, 54362, 52576, 57877, 50961, 57721, 51030, 50439, 50816, 69455, 58438, 55920, 51598, 54803, 52576, 52843, 51598, 51412, 50852, 53662, 51160, 58438, 66054, 51063, 51400, 51075, 51400, 50454, 50843, 58740, 57721, 50823, 65409, 51352, 51704, 51253, 57779, 59413, 50798, 51095, 52389, 50991, 57779, 58860, 51521, 50976, 51704, 63605, 57779, 61964, 51063, 51059, 50435, 58850, 53925, 51704, 51412, 51206, 53671, 54898, 51012, 57779, 50975, 54032, 54988, 51521, 51059, 52343, 51091, 51206, 50361, 51005, 50889, 57779, 50975, 50451, 51348, 51059, 57752, 50803, 57779, 52410, 51348, 50859, 52343, 55309, 50803, 58850, 66350, 51521, 65291, 51206, 55164, 58099, 57779, 57480, 51348, 50880, 51521, 50821, 52343, 75342, 53756, 59959, 57779, 60896, 51632, 51255, 50437, 51521, 51379, 51348, 51379, 50438, 50852, 56409, 50802, 57779, 66609, 58850, 66066, 51222, 51496, 51598, 51115, 50843, 51051, 51289, 50802, 57779, 51021, 50445, 51143, 51541, 50447, 58438, 51573, 50450, 51206, 52259, 55273, 50816, 50860, 50799, 51611, 52195, 52576, 51496, 50852, 54451, 51505, 54833, 51029, 52103, 51274, 55865, 51496, 54295, 51029, 52389, 50824, 50431, 51075, 51446, 50432, 51063, 51446, 51598, 51417, 55282, 51761, 52719, 51496, 50433, 55291, 51029, 51963, 51091, 50434, 50852, 59646, 51206, 56409, 65196, 50843, 63500, 51611, 51446, 50852, 57099, 52576, 63732, 51496, 52103, 51417, 64434, 50800, 55865, 51189, 54295, 51029, 50451, 54833, 51029, 52591, 51598, 51218, 55291, 51009, 55282, 52392, 52719, 52392, 52851, 69264, 51063, 51141, 51075, 50983, 51963, 52195, 50426, 50852, 59953, 50798, 64141, 51611, 67174, 52576, 60105, 56332 ]

[ 0, 250, 5679, 26709, 8, 19448, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 3741, 27374, 594, 6, 32017, 6, 8, 3551, 139, 4, 20, 2635, 20889, 8, 3694, 762, 5042, 7, 5, 2933, 8, 43580, 3693, 5466, 4, 20, 1049, 33215, 16739, 6, 211, 119, 6, 1918, 6, 272, 119, 6, 8, 211, 6, 16, 6636, 1328, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 72191, 50458, 52661, 66426, 53874, 51072, 50799, 52508, 51066, 52661, 50802, 52118, 60208, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 59101, 53469, 50811, 52345, 60280, 53469, 65174, 52345, 57880, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 56771, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 59889, 52661, 56733, 52779, 50803, 74759, 50425, 53854, 50993, 52360, 54675, 52118, 67270, 52345, 62751, 53276, 61109, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 50458, 53074, 50803, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50415, 53074, 60449, 53074, 58099, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 50430, 53328, 62751, 53385, 61109, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 59587, 53385, 54554, 72000, 50461, 52724, 51072, 52118, 51072, 50799, 53874, 51066, 52360, 51066, 53276, 66350, 53276, 57615, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 73708, 52779, 61964, 52360, 61109, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 50865, 52661, 50860, 56326, 66426, 53874, 51072, 50799, 52508, 51066, 52661, 50802, 52118, 58320, 60588, 73354, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 59101, 53469, 50811, 52345, 50860, 61557, 65717, 53469, 65174, 52345, 56861, 61557, 54496, 60588, 58212, 61557, 57776, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 76190, 56326, 51029, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 56575, 56326, 62181, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 50823, 60588, 50976, 50418, 52661, 67721, 61557, 57646, 52779, 50803, 74759, 60588, 63606, 53854, 50993, 52360, 54675, 52118, 50993, 79355, 65717, 52345, 54684, 50725, 50338, 58167, 66105, 55996, 53276, 61109, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 60588, 51029, 50458, 53074, 52937, 60588, 50823, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50415, 53074, 50802, 50725, 50342, 73129, 53074, 54381, 50725, 50342, 63606, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 60588, 66605, 53328, 50860, 66105, 55996, 53385, 59184, 50725, 50338, 57880, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 50817, 79355, 51300, 50445, 53385, 54554, 72000, 50461, 52724, 51072, 52118, 51072, 50799, 53874, 51066, 52360, 51066, 53276, 50802, 66105, 52410, 60588, 59852, 53276, 50803, 74706, 63606, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 51072, 56326, 65717, 52779, 54179, 60060, 59009, 52360, 55996, 74706, 57880, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 60588, 51009, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 66426, 53874, 51072, 55030, 50824, 50799, 52508, 51066, 52661, 50802, 52118, 58320, 50725, 50342, 60208, 52118, 71249, 50725, 50342, 59852, 79355, 57646, 52661, 50803, 50725, 50338, 71577, 53874, 51072, 50425, 52508, 50993, 57889, 54107, 53469, 50811, 52345, 66057, 79355, 54396, 53469, 66605, 79355, 52726, 50725, 50338, 59009, 52345, 56861, 66105, 66519, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 56774, 58769, 60588, 62148, 56326, 59135, 53854, 50803, 52360, 50823, 60588, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50725, 50338, 60646, 66105, 60370, 52779, 50803, 60588, 67903, 53879, 73300, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 50823, 50725, 50342, 60208, 52661, 50823, 50725, 50342, 60861, 79355, 59852, 50725, 50338, 63541, 52779, 50803, 74759, 50424, 53398, 50993, 50425, 53854, 50993, 52360, 54675, 52118, 50993, 50725, 50345, 55396, 52345, 54684, 57889, 61964, 50725, 50343, 56987, 53276, 50823, 50725, 50342, 58198, 56774, 51300, 50437, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 50725, 50342, 51029, 50458, 53074, 50803, 60588, 62181, 55030, 51009, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50725, 50342, 58320, 53074, 50802, 50418, 50725, 50342, 53213, 50725, 50338, 57646, 53074, 50811, 66105, 58242, 50725, 50338, 60517, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 60588, 58656, 53328, 65492, 50725, 50342, 73637, 53385, 65733, 53879, 51009, 50437, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 50817, 79355, 60178, 79355, 59587, 53385, 63999, 66105, 52768, 72000, 61557, 51066, 50461, 52724, 51072, 52118, 51072, 53398, 51059, 50799, 53874, 51066, 52360, 51066, 53276, 50802, 79355, 62601, 50725, 50342, 60208, 50725, 50343, 53213, 79355, 59852, 53276, 52801, 50725, 50347, 50975, 50425, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 73708, 52779, 50823, 57889, 50975, 50431, 50725, 50350, 57476, 52360, 55996, 50725, 50349, 58198, 55030, 51300, 50437, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 50725, 50347, 51029, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 66426, 53874, 51072, 55030, 50824, 50799, 52508, 51066, 52661, 50802, 52118, 60208, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 50993, 57889, 54107, 53469, 50811, 52345, 60280, 53469, 65174, 52345, 57880, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 56774, 51009, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 58055, 53879, 73300, 53480, 50993, 52661, 50811, 52508, 50993, 50799, 52118, 50975, 52779, 59889, 52661, 56733, 52779, 50803, 74759, 50424, 53398, 50993, 50425, 53854, 50993, 52360, 54675, 52118, 67270, 52345, 54684, 57889, 55996, 53276, 65733, 56774, 51300, 50437, 53874, 51300, 52508, 76190, 52118, 51300, 52661, 51300, 52779, 51300, 50458, 53074, 56771, 55030, 51009, 50799, 53874, 51066, 52661, 51066, 52508, 51072, 52779, 51072, 52118, 51066, 50415, 53074, 60449, 53074, 58099, 52661, 53537, 53874, 50975, 52508, 51352, 52779, 50823, 53074, 50860, 52118, 50993, 50430, 53328, 62751, 53385, 65733, 53879, 51009, 50437, 53854, 51300, 52779, 60363, 53328, 50975, 52345, 51029, 52118, 59587, 53385, 54554, 72000, 50461, 52724, 51072, 52118, 51072, 53398, 51059, 50799, 53874, 51066, 52360, 51066, 53276, 66350, 53276, 57615, 52118, 50817, 52360, 50860, 53874, 62819, 52724, 51072, 53276, 50823, 52118, 73708, 52779, 50823, 57889, 50975, 50433, 52360, 65733, 55030, 51300, 50437, 52508, 76190, 52118, 51300, 52880, 50975, 53874, 51300, 50445, 52360, 67976, 52880, 50993, 50458, 52661, 66426, 53874, 51072, 55030, 50824, 50799, 52508, 51066, 52661, 50802, 52118, 60208, 52118, 63541, 52661, 59174, 53874, 51072, 50425, 52508, 50993, 57889, 54107, 53469, 50811, 52345, 60280, 53469, 65174, 52345, 57880, 53874, 50802, 52508, 51009, 54750, 50817, 52661, 50975, 52118, 51300, 56774, 51009, 50445, 53854, 50803, 52360, 63816, 53480, 51072, 52661, 51072, 52779, 50976, 50457, 52779, 58055, 53879, 73300, 53480, 50993, 52661, 50811, 52508, 50993, 50799 ]

[ 0, 250, 30389, 28668, 3152, 2214, 11, 230, 3694, 6, 4246, 10, 11739, 9, 5175, 4785, 4, 20, 13305, 8, 38668, 483, 2324, 5, 33301, 6, 2800, 30, 5, 38668, 9590, 6, 32909, 6, 8, 21072, 4, 13231, 5, 2125, 6, 5, 33215, 16739, 9, 230, 119, 406, 6, 274, 6, 8, 272, 119, 35315, 6, 2351, 10, 3344, 9, 2933, 8, 32076, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 53942, 50918, 77400, 52629, 52910, 52039, 51048, 51579, 51048, 50436, 51641, 50800, 55558, 51724, 56787, 50918, 77400, 52629, 52728, 52039, 51048, 51579, 51048, 50460, 51641, 50800, 55558, 50800, 50799, 55129, 50918, 77400, 52629, 52910, 52039, 51048, 51579, 51048, 50436, 51641, 50800, 55558, 51724, 61053, 50918, 77400, 52629, 52728, 52039, 51048, 51579, 67523, 52713, 50818, 52713, 56637, 52713, 50818, 52713, 53902, 52713, 50818, 52713, 56904, 52713, 50818, 52713, 50818, 50799, 53942, 50918, 77400, 52629, 50807, 52713, 50807, 52713, 53561, 52713, 50807, 52713, 52910, 52039, 51048, 51579, 68175, 52713, 50800, 52713, 57083, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 58480, 51641, 50800, 55558, 59321, 52713, 50818, 52713, 52565, 56787, 50918, 77400, 52629, 50807, 52811, 50807, 52811, 53218, 52811, 50807, 52811, 52728, 52039, 51048, 51579, 67523, 52811, 50800, 52811, 57459, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 59342, 51641, 50800, 55558, 57614, 52811, 50818, 52811, 50818, 50799, 55129, 50918, 77400, 52629, 50807, 51758, 50807, 51758, 53561, 51758, 50807, 51758, 52910, 52039, 51048, 51579, 68175, 51758, 50800, 51758, 57083, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 58480, 51641, 50800, 55558, 59321, 51758, 50818, 51758, 52565, 54885, 50918, 77400, 52629, 50807, 52687, 50795, 52687, 51918, 51758, 50795, 51758, 51798, 52039, 51048, 51579, 51048, 52687, 50795, 52687, 51923, 54076, 50795, 54076, 50795, 50799, 53942, 50918, 77400, 52629, 50807, 52713, 50807, 52713, 53561, 52713, 50807, 52713, 52910, 52039, 51048, 51579, 68175, 52713, 50800, 52713, 57083, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 58480, 51641, 50800, 55558, 59321, 52713, 50818, 52713, 52565, 56787, 50918, 77400, 52629, 50807, 52811, 50807, 52811, 53218, 52811, 50807, 52811, 52728, 52039, 51048, 51579, 67523, 52811, 50800, 52811, 57459, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 59342, 51641, 50800, 55558, 57614, 52811, 50818, 52811, 50818, 50799, 55129, 50918, 77400, 52629, 50807, 51758, 50807, 51758, 53561, 51758, 50807, 51758, 52910, 52039, 51048, 51579, 68175, 51758, 50800, 51758, 50800, 53354, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 58480, 51641, 50800, 55558, 59321, 51758, 50818, 51758, 52565, 54885, 50918, 77400, 52629, 50807, 52687, 50795, 52687, 50795, 53354, 51918, 51758, 50795, 51758, 50795, 53283, 51798, 52039, 51048, 51579, 51048, 52687, 50795, 52687, 50795, 53354, 51923, 54076, 50795, 54076, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 52115, 52713, 50807, 52713, 58109, 56252, 51289, 50795, 53844, 51631, 50861, 54666, 57367, 63734, 54397, 50795, 54505, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 53787, 68406, 52108, 54397, 50795, 53283, 53312, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50983, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252, 51289, 52115, 51758, 50807, 51758, 58750, 57367, 56645, 54397, 56252, 51289, 51631, 50965, 57367, 56645, 63734, 54397, 50795, 53354, 51736, 51758, 50800, 51758, 51475, 56252, 51289, 50795, 53283, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 59321, 51758, 50818, 51758, 52565, 52687, 50795, 52687, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53354, 51918, 51758, 50795, 51758, 54397, 56252, 51289, 50795, 53283, 53658, 50906, 55673, 56645, 51798, 52687, 50795, 52687, 63734, 54397, 50795, 53354, 51923, 54076, 50795, 54076, 56645, 54397, 56252, 51289, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 53561, 52713, 50807, 52713, 58109, 56252, 51289, 51631, 50861, 54666, 57367, 63734, 54397, 50795, 54505, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 53787, 68406, 52108, 54397, 50795, 53283, 53312, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50918, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252, 51289, 52115, 51758, 50807, 51758, 58750, 54397, 56252, 51289, 51631, 51001, 56645, 63734, 54397, 51736, 51758, 50800, 51758, 62674, 54397, 56252, 51289, 50795, 53354, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 59321, 51758, 50818, 51758, 52565, 52687, 50795, 52687, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53354, 51918, 51758, 50795, 51758, 54397, 56252, 51289, 50795, 53283, 53658, 50906, 55673, 56645, 51798, 52687, 50795, 52687, 63734, 54397, 50795, 53354, 51923, 54076, 50795, 54076, 56645, 54397, 56252, 51289, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 52115, 52713, 50807, 52713, 58109, 56252, 51289, 50795, 53844, 51631, 50861, 54666, 57367, 63734, 54397, 50795, 54505, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 53787, 68406, 52108, 54397, 50795, 53283, 53312, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50918, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252, 51289, 52115, 51758, 50807, 51758, 58750, 54397, 56252, 51289, 51631, 51001, 56645, 63734, 54397, 51736, 51758, 50800, 51758, 62674, 54397, 56252, 51289, 50795, 53283, 57775, 51758, 50800, 51758, 52262, 51758, 50800, 51758, 59321, 51758, 50818, 51758, 52565, 52687, 50795, 52687, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53354, 51918, 51758, 50795, 51758, 56730, 55673, 56645, 54397, 56252, 51289, 50795, 53283, 51798, 52687, 50795, 52687, 56730, 55673, 56645, 63734, 54397, 50795, 53354, 51923, 54076, 50795, 54076, 54397, 56252, 51289, 50795, 53283, 50795, 70963, 50807, 52713, 55890, 54666, 57367, 54397, 56252, 51289, 50795, 53844, 52115, 52713, 50807, 52713, 58109, 56252, 51289, 50795, 54505, 52910, 50861, 54666, 57367, 63734, 54397, 51736, 52713, 50800, 52713, 63333, 54666, 57367, 54397, 56252, 51289, 50795, 55668, 68409, 52713, 50800, 52713, 52262, 52713, 50800, 52713, 59321, 52713, 50818, 52713, 52565, 52811, 50807, 52811, 58109, 56252, 51289, 51918, 52811, 50807, 52811, 58750, 54666, 57367, 54397, 56252, 51289, 50795, 55668, 68406, 52108, 54397, 50795, 54505, 51923, 52811, 50800, 52811, 62674, 54666, 57367, 54397, 56252, 51289, 50795, 53283, 50918, 50458, 52811, 50800, 52811, 52567, 52811, 50800, 52811, 57614, 52811, 50818, 52811, 50818, 58777, 50807, 51758, 58109, 56252 ]

[ 0, 250, 8787, 3495, 8, 15855, 24904, 2125, 14, 7630, 6568, 10, 32076, 8, 12298, 1619, 4780, 149, 63, 15352, 30054, 4798, 17130, 4, 6208, 38645, 8669, 8, 13602, 6757, 483, 5, 169, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 12577, 81, 9756, 8669, 15039, 10776, 4, 8504, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 11498, 10, 20902, 20889, 9, 18817, 13410, 228, 2289, 6, 4246, 10, 16331, 33215, 16739, 9, 274, 119, 6, 163, 43531, 6, 230, 119, 6, 274, 119, 6, 8, 163, 43531, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 51601, 51583, 70325, 51583, 51162, 50427, 51943, 51346, 50439, 51856, 51291, 51601, 51856, 51359, 50416, 51245, 51264, 51601, 51497, 50845, 50416, 52074, 50917, 50421, 51823, 50918, 51856, 51591, 50451, 51583, 51346, 51601, 52551, 51359, 50416, 51498, 51264, 51601, 51498, 60751, 52023, 69012, 51583, 72068, 52023, 51060, 50439, 52971, 51191, 50457, 52551, 51717, 50458, 51498, 52149, 50796, 51601, 52356, 51227, 50796, 50439, 51132, 50921, 50445, 51533, 67098, 51957, 50921, 50457, 51338, 50830, 50799, 51488, 50889, 50415, 68041, 50828, 51727, 50940, 52021, 50937, 51164, 50866, 51037, 50987, 76608, 63588, 50939, 61434, 79057, 50910, 51040, 50897, 61617, 75757, 52336, 50807, 54006, 51048, 51722, 50917, 52170, 50938, 52037, 50937, 50421, 52093, 51727, 50889, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50861, 50895, 50997, 50897, 51040, 50925, 67559, 51722, 50937, 52170, 50917, 52037, 50866, 50424, 50861, 52639, 51165, 69012, 52924, 50895, 52021, 50987, 51164, 50978, 51037, 51058, 51017, 51058, 61523, 50939, 51962, 50300, 50897, 68526, 50956, 50910, 51641, 50917, 52264, 50917, 52194, 50917, 51986, 50937, 51567, 50917, 52184, 53961, 72165, 50433, 52093, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50877, 79057, 51157, 51040, 70651, 51048, 51509, 50800, 52336, 50800, 54006, 50800, 51783, 50937, 51722, 50917, 52170, 50866, 50436, 51132, 77439, 60470, 52924, 50895, 51526, 50940, 52021, 50987, 51164, 50978, 51037, 51058, 51017, 51058, 61523, 50939, 60127, 50820, 51722, 50917, 52170, 50938, 52037, 59352, 51165, 51189, 50445, 52093, 51526, 50865, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50861, 50895, 50997, 51162, 51040, 51377, 50871, 51346, 51722, 51191, 52170, 51204, 52037, 51241, 50448, 50861, 55223, 52620, 50895, 51132, 50910, 52021, 50987, 51164, 50978, 51037, 51058, 51017, 51058, 61523, 69081, 50457, 52093, 51526, 50808, 52021, 67630, 50844, 79293, 69950, 56992, 66249, 50965, 50895, 51176, 73456, 60637, 50938, 51641, 50865, 52264, 50938, 52194, 50938, 50460, 51132, 63748, 50820, 79152, 68381, 52924, 50895, 51727, 50940, 52021, 51151, 51164, 51293, 50861, 79057, 50910, 51040, 50897, 61617, 51509, 51048, 52336, 50807, 54006, 51048, 50416, 51037, 51313, 51017, 51313, 50872, 51293, 50939, 52071, 50420, 51201, 60751, 52093, 51727, 57631, 50895, 50997, 50897, 51040, 50925, 67559, 50424, 50861, 52639, 51395, 74083, 52620, 50895, 51176, 50897, 68526, 50956, 50910, 51641, 50917, 52264, 50917, 52194, 56504, 51488, 68233, 52093, 50877, 79057, 51157, 51040, 70651, 51048, 51509, 50800, 52336, 50800, 54006, 58480, 51132, 77439, 52904, 51165, 61187, 52924, 50895, 67180, 50861, 58655, 51132, 52711, 51375, 65756, 52093, 51727, 64294, 50895, 50997, 51162, 51040, 51377, 50871, 51346, 50448, 50861, 52725, 51154, 67070, 52620, 50895, 51132, 55037, 51375, 69495, 52093, 51727, 63748, 50895, 50997, 52098, 50305, 57911, 50938, 50460, 51132, 63748, 50820, 50799, 51426, 52903, 50415, 71329, 50825, 51533, 50940, 51751, 50937, 51037, 50866, 76080, 75251, 50939, 61434, 79057, 50910, 50956, 50897, 77206, 52314, 51048, 52336, 50807, 53397, 51048, 50421, 52093, 51533, 50889, 51751, 62436, 50844, 64130, 59358, 66249, 50861, 50895, 50997, 50897, 50956, 50925, 50989, 50910, 50424, 50861, 55477, 52620, 50895, 51751, 50987, 51037, 50978, 50979, 51058, 64873, 50939, 51962, 50300, 50897, 51040, 50925, 67559, 51509, 50917, 52264, 50917, 54006, 50917, 50433, 52093, 51751, 62436, 50844, 64130, 59358, 66249, 50877, 79057, 51157, 50956, 51159, 50989, 51048, 52314, 50800, 52336, 50800, 53397, 58480, 51526, 77439, 60470, 52924, 50895, 52585, 50940, 51751, 50987, 51037, 50978, 50979, 51058, 64873, 50939, 60127, 57460, 52093, 52585, 50865, 51751, 62436, 50844, 64130, 59358, 66249, 50861, 50895, 50997, 51162, 50956, 51377, 50989, 51346, 50448, 50861, 55223, 52620, 50895, 51526, 50938, 51751, 50987, 51037, 50978, 50979, 51058, 64873, 69081, 50457, 52093, 52585, 50800, 51751, 62436, 50844, 64130, 59358, 66249, 50965, 50895, 51176, 52098, 50305, 57911, 50938, 51509, 50865, 52264, 50938, 54006, 50938, 50460, 51526, 63748, 50820, 51601, 52055, 51865, 50820, 52585, 50858, 51751, 51397, 51037, 51448, 50861, 79057, 50910, 50956, 50897, 77206, 52314, 51048, 52336, 50807, 53397, 51048, 50416, 50979, 51535, 50944, 51448, 50939, 51448, 50418, 51526, 60721, 51206, 50828, 51533, 57631, 50895, 50997, 50897, 50956, 50925, 50989, 50910, 50424, 50861, 55477, 52620, 50895, 51176, 50897, 51040, 50925, 67559, 51509, 50917, 52264, 50917, 54006, 50917, 50433, 52093, 50877, 79057, 50910, 50956, 50897, 77206, 52314, 50808, 52336, 50808, 53397, 63116, 51533, 77439, 52904, 51491, 66326, 52924, 50895, 51533, 50948, 51751, 50833, 51037, 60296, 50844, 50944, 69802, 50861, 79057, 50897, 50956, 50925, 50989, 50910, 52314, 50808, 52336, 50808, 53397, 52711, 51375, 59513, 52093, 51132, 50991, 51164, 51134, 50885, 51391, 50872, 51419, 50992, 51391, 50909, 51391, 50861, 50895, 50900, 51204, 50871, 51191, 50965, 51091, 52264, 50983, 52629, 50983, 53192, 50983, 50448, 50861, 52725, 51491, 64847, 52620, 56246, 51375, 54353, 51165, 68451, 52924, 50828, 51533, 63748, 56924, 51093, 70132, 51132, 63748, 50820, 50799, 51488, 51048, 50415, 71329, 50825, 51640, 50940, 51506, 50937, 76608, 75251, 50939, 61434, 79057, 50910, 51040, 50897, 77206, 52314, 51048, 52336, 50807, 54006, 51048, 51722, 51162, 52170, 51346, 52037, 51377, 50421, 52093, 51640, 50889, 51506, 50810, 69950, 59358, 66249, 50861, 50895, 50997, 50897, 51040, 50925, 50989, 50910, 50424, 50861, 52639, 51165, 69012, 52620, 50895, 51506, 50987, 51017, 51058, 64873, 50939, 51962, 50300, 50897, 68526, 67559, 51509, 50917, 52264, 50917, 52194, 50917, 51986, 50937, 51567, 50917, 52184, 53961, 72165, 50433, 52093, 51506, 50810, 69950, 59358, 66249, 50877, 79057, 51157, 51040, 51159, 50989, 51048, 52314, 50800, 52336, 50800, 54006, 50800, 51783, 50937, 51722, 50917, 52170, 50866, 50436, 52458, 77439, 60470, 52924, 50895, 54423, 50940, 51506, 50987, 51017, 51058, 64873, 50939, 60127, 50820, 51722, 50917, 52170, 50938, 52037, 59352, 51165, 51189, 50445, 52093, 54423, 50865, 51506, 50810, 69950, 59358, 66249, 50861, 50895, 50997, 51162, 51040, 51377, 50989, 51346, 51722, 51191, 52170, 51204, 52037, 51241, 50448, 50861, 55223, 52620, 50895, 52458, 50938, 51506, 50987, 51017, 51058, 64873, 69081, 50457, 52093, 54423, 50800, 51506, 50810, 69950, 59358, 66249, 50965, 50895, 50997, 52098, 50305, 75762, 50938, 52314, 50865, 52336, 50865, 54006, 50938, 50460, 52458, 63748, 50820, 51601, 71329, 50825, 51132, 50858, 51164, 51397, 50885, 51535, 50861, 68095, 51413, 78549, 50877, 51446, 51509, 51157, 52067, 51157, 52194, 51048, 50416, 50872, 51448, 50850, 51448, 50418, 51338, 52734, 51266, 50879, 50421, 52093, 58154, 57631, 64527, 50861, 52639, 51395, 61156, 52620, 53644, 51488, 68233, 52093, 50877, 58316, 58154, 77439, 52904, 51395, 51157, 50439, 52924, 50895, 58154, 50948, 51164, 51397, 50946, 51535, 50861, 68095, 51446, 50956, 51413, 50989, 51413, 50877, 51291, 51509, 51048, 52067, 51048, 52194, 51048, 50440, 50979, 51448, 50944, 51448, 50445, 52093, 58154, 62111, 66119, 50861, 52725, 51395, 51157, 50451, 52620, 50895, 51844, 68063, 52093, 51844, 73278, 64601, 50965 ]

[ 0, 250, 20902, 8, 15352, 30054, 765, 2214, 14, 28337, 4785, 9, 5175, 8, 15855, 930, 6, 4246, 10, 13305, 8, 24896, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 12701, 4450, 20889, 4, 20, 15229, 7630, 6568, 10, 1472, 9, 11098, 8, 1007, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51057, 50637, 51038, 73567, 50821, 51085, 51060, 50417, 50861, 53113, 65585, 51026, 51060, 50423, 50968, 54149, 50916, 75672, 75208, 53194, 50304, 62109, 51026, 56472, 67734, 50923, 51057, 50973, 50821, 50931, 50950, 50899, 68282, 79289, 50931, 50894, 51026, 52483, 51086, 51060, 50861, 61908, 53566, 61795, 73567, 51460, 50861, 51160, 50876, 51653, 50423, 50899, 50821, 61293, 50973, 64830, 50894, 53523, 73796, 56472, 61552, 52309, 50900, 56294, 57253, 65544, 50795, 78246, 64816, 77079, 51237, 56978, 52247, 50861, 52370, 50315, 58050, 50806, 51057, 66642, 63302, 51487, 53066, 60300, 72147, 51487, 53450, 62504, 60299, 51430, 52658, 60256, 72147, 51430, 50844, 51057, 63302, 51339, 67316, 55689, 72147, 51339, 50844, 50902, 53172, 50951, 74563, 58692, 51003, 51057, 51062, 51235, 50877, 56831, 51958, 50322, 50943, 50423, 51146, 52654, 50899, 59389, 58007, 51519, 50322, 51260, 50332, 54100, 50899, 59023, 58363, 78809, 51853, 50332, 50892, 78246, 56190, 75623, 72117, 50914, 56978, 53172, 50968, 52363, 50328, 52434, 50304, 54777, 51085, 50845, 51057, 53863, 51519, 50292, 55689, 53863, 65327, 58363, 66386, 53890, 53771, 51458, 50296, 54777, 53771, 52434, 50308, 58127, 58363, 50873, 51057, 53407, 77782, 55689, 53407, 79449, 58127, 66228, 53890, 53077, 51056, 51086, 65480, 60138, 63129, 50914, 51057, 53250, 51110, 50900, 61027, 51203, 50876, 51124, 50423, 53077, 60924, 50822, 50902, 53049, 53771, 58007, 58903, 53387, 53771, 58363, 68081, 50905, 51057, 53771, 51159, 68622, 50968, 59391, 60726, 50989, 67175, 53077, 57682, 52415, 50315, 69138, 50901, 51057, 53863, 51519, 50332, 50844, 51085, 51101, 50417, 51487, 54448, 53863, 52434, 50332, 50874, 51026, 51101, 50423, 51487, 53881, 53771, 70553, 50822, 50916, 60581, 51242, 50429, 51430, 54221, 53771, 52434, 50328, 50874, 51026, 67869, 51430, 50874, 51057, 53407, 74822, 50844, 51214, 51101, 50417, 51339, 54448, 53407, 52434, 50330, 50874, 51026, 51101, 50423, 51339, 53881, 53077, 62649, 51458, 50303, 51242, 51220, 60307, 51026, 50987, 51057, 53077, 63663, 59353, 55041, 53077, 61875, 60318, 71274, 59353, 54335, 53771, 51178, 51120, 65655, 73377, 51027, 63327, 57807, 55602, 51682, 50322, 50833, 51057, 53863, 51159, 51026, 51644, 50303, 60126, 57933, 51120, 56307, 55062, 57682, 53536, 50287, 51074, 51057, 56213, 51110, 51214, 51101, 50902, 51203, 51220, 51124, 56978, 51101, 50423, 53250, 70197, 50822, 51062, 53049, 53077, 57911, 61433, 51568, 50330, 51519, 50303, 68766, 55343, 52434, 50320, 51644, 50329, 69324, 51101, 51057, 53077, 71125, 61433, 51455, 50330, 51519, 50303, 51242, 50420, 53771, 52434, 50299, 52415, 50323, 51644, 50332, 53890, 53250, 65430, 68184, 68547, 51741, 50328, 50914, 51057, 53863, 69718, 60126, 51455, 50332, 55099, 55602, 64608, 68800, 51644, 50331, 53890, 53407, 52545, 50315, 64213, 51568, 50330, 53308, 53771, 57253, 61527, 77406, 50873, 51057, 53771, 51159, 68622, 51062, 74335, 50995, 56978, 67175, 53077, 57682, 75213, 52363, 50327, 50901, 51057, 60293, 51354, 51315, 51460, 50916, 51460, 50423, 56587, 52236, 50297, 69857, 52422, 55062, 53275, 50299, 73796, 56087, 54812, 51919, 50301, 57442, 50806, 51057, 56213, 53318, 50303, 52362, 50315, 58808, 53250, 71327, 56501, 52247, 53771, 51566, 51085, 52530, 50299, 79230, 79237, 68638, 52530, 50320, 51237, 51057, 53077, 51379, 51214, 50901, 54569, 62543, 51853, 50315, 62149, 56213, 53939, 55062, 51919, 50291, 54777, 56587, 59238, 62543, 50892, 51057, 56587, 51566, 51120, 69324, 51619, 50303, 58134, 57519, 51214, 53172, 60293, 51919, 50294, 74682, 63682, 68184, 50914, 50437, 50951, 51101, 51057, 53771, 53275, 50292, 60581, 51514, 50332, 50849, 50419, 50968, 51242, 50420, 53250, 79443, 50873, 50425, 50876, 67732, 55062, 51919, 50296, 60581, 70452, 50849, 50431, 50861, 68766, 60293, 51919, 50320, 50873, 51057, 58613, 53275, 50297, 59353, 55689, 56587, 63621, 53172, 50619, 54812, 51160, 51378, 51411, 51027, 51411, 50956, 51162, 50876, 51400, 51057, 50637, 56213, 51379, 51026, 58871, 57348, 61622, 59573, 53250, 53939, 53077, 51919, 50292, 69836, 60241, 63129, 56217, 50619, 53863, 50936, 51057, 50637, 53771, 53275, 50292, 51134, 51026, 51241, 50916, 51134, 50876, 77952, 53250, 51055, 76133, 54221, 51062, 56149, 51430, 50874, 51057, 51487, 50844, 51085, 63327, 66147, 50951, 54448, 51062, 56174, 51430, 53881, 51487, 50822, 50861, 65064, 60412, 50951, 54221, 51430, 50874, 50861, 58363, 60698, 63302, 78246, 59374, 63191, 51712, 50333, 55041, 50861, 60379, 60126, 51853, 50333, 53770, 50861, 75591, 69517, 51608, 50330, 50896, 51057, 51062, 51221, 50877, 61739, 51800, 50322, 50943, 50423, 51146, 52654, 50899, 59389, 58007, 51519, 50322, 51260, 50332, 54100, 50899, 59023, 58363, 78809, 51853, 50332, 50892, 51057, 50973, 57094, 51242, 51146, 67780, 50995, 56978, 58192, 50968, 52363, 50328, 52434, 50304, 54777, 51085, 50845, 51057, 51579, 51519, 50292, 55689, 51579, 65327, 58363, 66386, 53890, 51744, 51458, 50296, 54777, 51744, 52434, 50308, 58127, 58363, 50873, 51057, 51509, 77782, 55689, 51509, 79449, 58127, 66228, 53890, 51485, 51056, 51086, 65480, 60138, 63129, 50914, 51057, 51431, 51110, 50900, 61027, 51203, 50876, 51124, 50423, 51485, 60924, 50822, 50902, 53049, 51744, 58007, 58903, 53387, 51744, 58363, 68081, 50905, 51057, 51744, 51159, 68622, 50968, 59391, 60726, 50989, 67175, 51485, 57682, 52415, 50315, 69138, 50901, 51057, 51579, 51519, 50332, 50844, 51085, 51101, 50417, 51487, 54448, 51579, 52434, 50332, 50874, 51026, 51101, 50423, 51487, 53881, 51744, 70553, 50822, 50916, 60581, 51242, 50429, 51430, 54221, 51744, 52434, 50328, 50874, 51026, 67869, 51430, 50874, 51057, 51509, 74822, 50844, 51214, 51101, 50417, 51339, 54448, 51509, 52434, 50330, 50874, 51026, 51101, 50423, 51339, 53881, 51485, 62649, 51458, 50303, 51242, 51220, 60307, 51026, 50987, 51057, 51485, 63663, 59353, 55041, 51485, 61875, 60318, 71274, 59353, 54335, 51744, 51178, 51120, 65655, 73377, 51027, 63327, 57807, 52314, 51682, 50322, 50833, 51057, 51579, 51159, 51026, 51644, 50303, 60126, 57933, 51120, 56307, 52039, 57682, 53536, 50287, 51074, 51057, 52298, 51110, 51214, 51101, 50902, 51203, 51220, 51124, 56978, 51101, 50423, 51431, 70197, 50822, 51062, 53049, 51485, 57911, 61433, 51568, 50330, 51519, 50303, 68766, 52061, 52434, 50320, 51644, 50329, 69324, 51101, 51057, 51485, 71125, 61433, 51455, 50330, 51519, 50303, 51242, 50420, 51744, 52434, 50299, 52415, 50323, 51644, 50332, 53890, 51431, 65430, 68184, 68547, 51741, 50328, 50914, 51057, 51579, 69718, 60126, 51455, 50332, 55099, 52314, 64608, 68800, 51644, 50331, 53890, 51509, 52545, 50315, 64213, 51568, 50330, 53308, 51744, 57253, 61527, 77406, 50873, 51057, 51744, 51159, 68622, 51062, 74335, 50995, 56978, 67175, 51485, 57682, 75213, 52363, 50327, 50901, 51057, 53808, 51354, 51315, 51460, 50916, 51460, 50423, 52334, 52236, 50297, 69857, 52422, 52039, 53275, 50299, 73796, 56087, 51898, 51919, 50301, 57442, 50806, 51057, 52298, 53318, 50303, 52362, 50315, 58808, 51431, 71327, 56501, 52247, 51744, 51566, 51085, 52530, 50299, 79230, 79237, 68638, 52530, 50320, 51237, 51057, 51485, 51379, 51214, 50901, 54569, 62543, 51853, 50315, 62149, 52298, 53939, 52039, 51919, 50291, 54777, 52334, 59238, 62543, 50892, 51057, 52334, 51566 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 38668, 2236, 483, 6, 7513, 30, 13305, 40286, 6, 31391, 1672, 9590, 6, 8, 12405, 21072, 6, 2351, 10, 5679, 26709, 5466, 10686, 13, 822, 50, 6717, 2369, 36546, 4, 20, 2125, 16, 11, 274, 10431, 538, 6, 34, 10, 7212, 20889, 9, 5962, 163, 5683, 6, 8, 3905, 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 ]

[ 54458, 50420, 50622, 50799, 52013, 53087, 52013, 53294, 52013, 53711, 52013, 50883, 51528, 53301, 50383, 53967, 50811, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 57793, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 53211, 51170, 57793, 50855, 53341, 50862, 51528, 53301, 50383, 53967, 50811, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 53211, 51170, 53301, 50855, 53341, 50862, 51528, 53301, 50383, 62006, 50811, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 54056, 50903, 57793, 52925, 51170, 57793, 50836, 53198, 53894, 50903, 57793, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 55932, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 53211, 51170, 57793, 50855, 53341, 50862, 51528, 53301, 50383, 62006, 50811, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 53211, 51170, 53301, 50855, 53341, 50862, 51528, 53301, 50383, 53967, 50811, 51374, 52208, 53214, 50820, 56654, 53113, 51170, 56460, 50862, 56335, 54007, 50913, 50813, 56654, 52422, 51270, 63973, 57793, 60387, 50809, 56335, 51192, 53649, 52925, 51170, 57793, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 78642, 53563, 51170, 53301, 50855, 78642, 50880, 53341, 50862, 78642, 50880, 51528, 53301, 50383, 62006, 50811, 51533, 51469, 59181, 50921, 53214, 52761, 51170, 53301, 50862, 59181, 55133, 50913, 50813, 59181, 57327, 51270, 63973, 57793, 60387, 50809, 53649, 50839, 65724, 54053, 51170, 53301, 50836, 59181, 50896, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 52616, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 50813, 59181, 54647, 51170, 53301, 50855, 59181, 50880, 53341, 50862, 59181, 50821, 51528, 53301, 50383, 53967, 50811, 51374, 52017, 58550, 51055, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 56335, 69460, 50903, 57793, 52925, 51170, 57793, 50836, 53198, 53894, 50903, 57793, 50380, 62006, 50811, 57684, 51055, 53491, 53524, 51170, 53301, 55932, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 57684, 53563, 51170, 57793, 50855, 57684, 50880, 53341, 50862, 56553, 50821, 51528, 53301, 50383, 53967, 50811, 51533, 51977, 55425, 50880, 53214, 50820, 54315, 54658, 51170, 53301, 50862, 54315, 55133, 50913, 50813, 54315, 53939, 51270, 63973, 57793, 60387, 50809, 54315, 50880, 53649, 50839, 54315, 52975, 51170, 53301, 50836, 54315, 51192, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 50813, 54315, 53675, 51170, 57793, 50836, 53721, 50840, 51640, 54988, 51270, 68511, 53301, 60387, 54460, 73059, 51236, 53301, 50813, 51640, 63695, 51170, 53301, 50855, 53341, 50862, 51533, 51033, 51528, 53301, 50383, 62006, 50811, 51374, 52208, 53214, 50820, 56335, 53336, 51170, 56460, 50862, 56335, 50880, 55618, 50813, 56654, 53939, 51270, 63973, 57793, 60387, 50809, 56335, 51192, 53649, 52925, 51170, 57793, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 53301, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 78642, 54647, 51170, 57793, 50855, 78642, 50883, 53341, 50862, 78642, 50880, 51528, 53301, 50383, 53967, 50811, 51533, 52379, 59181, 50936, 53214, 52761, 51170, 53301, 50862, 59181, 50880, 55618, 50813, 59181, 55889, 51270, 63973, 53301, 60387, 50809, 53649, 50839, 59181, 52686, 51170, 53301, 50836, 65724, 50880, 53198, 50862, 59181, 57626, 50913, 50380, 62006, 50811, 53491, 50813, 59181, 54989, 51170, 57793, 50836, 59181, 50936, 53721, 53688, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 50813, 59181, 54647, 51170, 53301, 50855, 59181, 50880, 53341, 50862, 59181, 50880, 51528, 53301, 50383, 53967, 50811, 51374, 52208, 58550, 51055, 53214, 52761, 51170, 56460, 50862, 55618, 52524, 51270, 63973, 53301, 60387, 50809, 56335, 69460, 50903, 57793, 52925, 51170, 57793, 50836, 53198, 53894, 50903, 57793, 50380, 62006, 50811, 57684, 50980, 53491, 53524, 51170, 53301, 55932, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 54599, 50813, 57684, 53563, 51170, 57793, 50855, 57684, 50880, 53341, 50862, 56553, 50880, 51528, 53301, 50383, 53967, 50811, 51533, 53174, 55425, 50880, 53214, 50820, 54315, 53336, 51170, 53301, 50862, 54315, 55133, 50913, 50813, 54315, 57327, 51270, 63973, 57793, 60387, 50809, 53649, 50839, 54315, 52975, 51170, 53301, 50836, 54315, 50806, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 50840, 51640, 56505, 51270, 68511, 53301, 60387, 54460, 66250, 51236, 53301, 50813, 51526, 52935, 51170, 53301, 50855, 51602, 50950, 53341, 50862, 51640, 50950, 51528, 53301, 50383, 53967, 50811, 63312, 50880, 51374, 52379, 53214, 52761, 51170, 56460, 50862, 63312, 51173, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 70774, 50859, 53649, 50839, 58873, 52749, 51170, 53301, 50836, 56991, 50858, 53198, 50862, 58873, 54362, 50913, 50380, 62006, 50811, 63312, 50809, 53491, 53524, 51170, 53301, 50836, 63312, 50893, 53721, 53688, 51270, 68511, 53301, 60387, 50830, 70774, 50921, 54599, 50813, 58873, 52643, 51170, 57793, 50855, 56991, 50858, 53341, 50862, 58873, 50940, 51528, 53301, 50383, 62006, 50811, 50693, 50322, 51941, 51533, 52379, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 53198, 53894, 50913, 50380, 62006, 50811, 53491, 53524, 51170, 57793, 50836, 53721, 53688, 51270, 68511, 53301, 60387, 50809, 50693, 50324, 51346, 50453, 51236, 53301, 53211, 51170, 53301, 50855, 53341, 50862, 51528, 53301, 50383, 62006, 50811, 63312, 50890, 51374, 52379, 53214, 52761, 51170, 56460, 50862, 63312, 51060, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 70774, 71307, 50903, 57793, 50839, 58873, 52749, 51170, 57793, 50836, 56991, 50858, 53198, 50862, 58873, 54773, 50903, 57793, 50380, 62006, 50811, 63312, 50890, 53491, 53524, 51170, 53301, 50836, 63312, 51158, 50447, 50903, 53301, 53688, 51270, 68511, 53301, 60387, 50830, 70774, 51033, 54599, 50813, 58873, 52643, 51170, 57793, 50855, 56991, 50821, 53341, 50862, 59624, 50858, 51528, 53301, 50383, 53967, 50811, 55724, 50983, 51533, 51870, 53214, 52761, 51170, 53301, 50862, 55618, 52524, 51270, 63973, 57793, 60387, 50809, 53649, 52925, 51170, 53301, 50836, 54850, 50893, 53198, 53894, 50913, 50380, 62006, 50811, 59558, 51291, 53491, 50813, 51857, 55933, 51170, 57793, 50836, 51857, 51010, 53721, 50840, 51640, 68280, 51270, 68511, 53301, 60387, 54139, 51236, 53301, 50813, 51533, 57701, 51170, 53301, 50855, 51602, 50950, 53341, 50862, 51526, 50962, 51528, 53301, 50383, 53967, 50811, 51374, 52208, 53214 ]

[ 0, 250, 15352, 30054, 3495, 2214, 4246, 13305, 6, 32017, 6, 3459, 8, 21979, 29589, 6, 8, 21072, 6, 2351, 10, 19448, 8, 1372, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 1769, 20889, 9, 19446, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 272, 406, 6, 230, 406, 6, 272, 119, 406, 6, 8, 230, 406, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 57746, 51552, 50872, 51189, 51207, 51552, 50970, 51189, 51240, 53403, 50939, 51103, 51064, 69027, 51007, 51894, 53527, 50795, 51067, 51894, 51270, 52417, 51332, 55905, 51047, 53918, 50942, 51725, 50901, 50998, 51047, 51383, 52766, 51332, 51312, 53918, 50917, 51725, 51312, 51270, 53162, 50939, 51336, 53527, 50925, 51064, 51336, 51170, 52772, 51332, 51097, 53918, 50805, 51725, 51097, 51170, 53268, 50872, 51183, 53527, 50937, 50970, 51183, 51383, 50818, 57746, 50983, 53918, 50805, 51207, 60055, 50939, 50918, 51064, 50918, 51170, 60156, 53918, 56800, 51170, 52844, 51332, 55905, 51675, 54263, 50889, 51725, 50901, 50998, 51675, 51383, 53040, 51332, 51199, 51725, 51199, 51270, 52616, 50939, 51077, 51064, 51077, 51170, 53003, 51332, 50995, 51725, 50995, 51170, 53268, 52817, 50987, 51383, 50884, 57746, 51091, 50872, 51477, 53527, 50805, 51207, 51091, 50970, 51477, 51170, 53336, 50939, 51077, 53918, 50925, 51064, 51077, 51240, 52928, 53918, 68606, 52953, 51332, 56291, 51267, 53918, 51177, 51725, 50873, 50998, 51267, 51383, 52621, 51332, 50932, 51725, 50932, 51270, 52616, 61560, 50939, 51183, 53918, 51110, 50998, 51003, 51064, 51183, 51240, 52772, 51332, 51380, 51725, 51380, 51240, 53137, 72080, 53527, 50889, 69916, 51383, 50818, 57746, 51141, 51207, 51141, 51270, 52761, 50872, 50795, 59205, 51240, 58592, 50939, 51101, 51064, 67175, 51240, 52953, 51332, 50873, 51725, 50873, 51383, 53219, 50868, 50967, 50939, 51177, 51332, 50981, 50998, 50967, 51064, 51177, 51725, 50981, 51270, 53044, 51383, 67394, 51383, 59361, 51383, 53533, 50868, 60935, 50978, 63386, 51064, 50978, 51587, 60457, 50841, 57746, 51362, 50872, 51295, 51207, 51362, 50970, 51295, 51270, 53223, 69594, 51064, 57908, 51007, 51244, 53527, 50879, 51067, 51244, 51383, 52209, 51332, 56291, 69910, 51413, 53918, 50862, 51725, 50873, 50998, 50908, 50998, 51413, 51170, 53018, 51332, 50932, 53918, 50917, 51725, 50932, 51170, 53041, 69430, 53918, 50897, 51064, 50914, 51240, 52802, 51332, 51199, 53527, 50897, 51725, 51199, 51240, 52920, 75641, 50872, 51121, 50939, 50932, 53918, 51110, 50986, 51709, 50970, 51121, 51064, 50932, 51270, 50820, 57746, 50873, 66493, 51236, 52432, 50885, 56743, 50938, 50939, 51254, 53918, 51116, 66192, 50970, 50938, 51064, 51254, 51170, 52917, 50988, 50806, 59077, 51170, 52767, 53918, 51346, 51236, 56748, 51332, 51283, 51725, 64025, 50885, 51283, 50868, 51413, 50939, 51314, 50986, 51283, 50998, 51413, 51064, 51314, 51236, 52878, 53527, 50910, 51383, 52743, 53918, 65303, 56012, 51332, 51709, 51725, 51709, 50456, 53918, 51056, 51270, 50820, 61464, 53680, 50318, 51605, 50988, 51336, 50970, 51166, 51067, 51605, 51207, 51336, 51240, 52981, 50939, 51047, 52817, 51058, 51064, 51047, 51170, 52641, 63588, 53527, 50942, 65899, 51383, 52767, 50868, 51077, 53918, 50901, 50998, 51077, 51270, 52766, 51332, 51242, 51725, 51242, 51270, 52616, 69594, 53918, 50805, 51064, 50943, 51170, 53166, 51332, 50995, 53527, 51159, 51725, 50995, 51170, 52738, 73367, 75333, 51064, 51212, 50970, 51101, 51240, 50828, 57746, 51003, 51207, 65516, 70084, 50939, 51109, 74584, 51064, 51109, 51240, 52992, 50988, 50807, 59498, 51170, 53031, 50868, 51218, 50998, 51218, 51383, 52621, 51332, 51253, 51725, 51253, 51383, 53239, 69430, 53918, 50873, 51064, 55441, 51332, 57371, 51242, 54263, 50937, 51725, 50905, 50998, 51242, 51236, 53173, 58034, 51175, 51383, 50884, 57732, 51310, 51007, 51417, 51725, 51310, 51067, 51417, 51240, 53403, 50939, 51141, 58034, 51336, 51064, 74978, 50979, 51295, 51136, 51295, 51270, 52417, 51164, 51896, 51504, 51896, 51383, 52766, 50909, 50879, 51032, 50879, 51270, 53162, 50850, 51377, 50872, 51365, 54263, 50805, 50947, 51377, 50970, 51365, 51170, 52772, 50872, 51233, 50970, 51233, 51170, 53268, 50847, 51183, 53918, 51103, 50929, 51183, 51383, 57430, 50979, 53161, 51136, 53161, 57732, 51253, 51725, 51253, 50420, 50979, 51351, 51136, 51351, 51170, 52917, 51037, 50974, 51246, 50974, 51170, 52844, 51164, 51173, 51504, 51173, 51383, 53040, 77649, 50850, 52519, 50970, 51111, 50947, 52519, 51270, 52616, 50988, 51167, 51207, 51167, 51170, 53003, 59458, 70850, 51170, 53268, 51332, 51145, 51725, 51145, 51383, 50884, 76220, 51218, 54263, 50795, 51067, 51218, 51170, 53336, 50939, 50915, 58034, 50879, 51064, 50915, 51240, 52928, 50979, 51318, 54263, 50849, 51136, 51318, 51240, 52953, 69546, 50847, 52048, 58034, 51016, 51032, 50914, 50929, 52048, 51383, 52621, 51164, 51016, 51504, 51016, 51270, 52616, 50872, 55792, 51242, 54263, 51158, 68859, 50947, 51242, 51240, 52772, 51240, 53137, 51332, 67145, 51006, 78774, 53918, 50889, 51725, 50838, 51246, 51006, 51136, 50977, 51383, 50818, 50799, 51270, 52761, 51164, 61856, 62344, 50805, 57230, 51504, 50802, 69468, 51136, 50805, 67765, 51240, 52928, 51240, 52953, 51171, 58310, 54667, 50879, 51444, 50849, 59655, 50929, 50879, 51383, 53219, 51270, 53044, 51688, 51115, 50885, 51312, 50944, 50889, 52012, 51115, 50986, 51312, 51078, 50889, 51240, 52772, 52817, 62468, 52920, 54263, 51091, 51170, 50828, 57746, 51204, 50872, 51283, 51207, 51204, 50970, 51283, 51270, 52870, 50939, 51481, 55979, 51178, 51064, 51481, 51383, 52209, 51332, 52015, 50868, 52188, 51725, 52015, 50998, 52188, 51170, 53018, 53918, 51157, 51170, 53041, 50868, 51194, 50998, 51194, 51240, 56918, 53036, 58460, 51240, 52920, 50872, 50918, 53527, 50943, 50970, 50918, 51270, 50820, 57746, 51095, 51207, 51095, 51236, 52432, 50939, 51148, 53918, 50862, 51064, 51148, 51170, 52917, 50988, 51109, 53918, 50937, 51207, 51109, 51170, 52767, 50868, 51148, 53036, 50810, 50998, 51148, 51236, 52600, 51332, 51312, 53918, 50938, 51725, 51312, 51236, 52878, 50939, 52460, 54263, 50910, 51064, 52460, 51383, 52743, 51332, 50995, 52817, 50901, 51725, 50995, 51383, 52738, 53036, 64206, 50820, 57746, 51346, 50872, 51637, 53918, 51157, 51207, 51346, 50970, 51637, 51240, 52981, 50939, 51077, 51064, 51077, 51170, 52641, 51007, 51077, 53036, 50862, 51067, 51077, 51383, 52767, 50988, 51173, 76775, 53918, 51159, 51207, 51173, 50998, 51115, 51270, 52766, 51332, 50932, 51725, 50932, 51270, 52616, 70944, 53036, 50808, 51064, 51100, 51170, 53166, 51332, 51380, 51725, 51380, 51170, 52738, 51007, 58736, 51277, 50939, 53024, 53036, 50915, 51067, 50838, 50970, 51277, 51064, 53024, 51240, 50828, 57746, 50795, 51207, 52115, 50872, 62540, 50991, 51007, 50838, 52817, 51391, 50970, 50893, 51064, 50991, 51067, 50838, 51240, 52992, 50988, 50879, 51207, 50879, 51170, 53031, 51332, 51397, 51725, 51397, 51383, 52621, 50868, 51413, 50939, 51446, 51007, 51397, 50998, 51413, 51064, 51446, 51067, 51397, 51383, 53239, 51273, 52596, 51140, 77651, 50381, 53746, 53650, 51705, 50873, 51383, 50884, 72412, 51417, 51098, 50983, 50988, 51189, 50872, 51189, 51334, 51242, 54193, 51177, 51207, 51189, 50970, 51189, 53779, 62827, 55399, 53403, 50939, 51103, 51590, 50863, 51064, 51103, 50421, 55420, 50870, 51408, 58115, 51229, 54604, 51547, 52966, 51303, 51400, 51414, 51109, 51457, 51109, 51007, 51894, 53527, 50805, 51067, 51894, 53231, 57527, 56657, 53918, 57066, 51461, 50844, 51332, 55905, 51047, 51725, 50901, 50998, 51047, 53231, 58016, 57423, 52742, 51476, 51233, 51461, 51189, 51332, 51312, 53918, 50805, 51725, 51312, 51587, 57113, 76667, 52875 ]

[ 0, 250, 15352, 30054, 8, 12298, 1619, 3495, 2125, 6, 42, 8787, 15229, 11, 230, 10431, 538, 16, 17407, 30, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 6755, 12547, 8, 13305, 185, 5, 483, 6, 7513, 30, 326, 5638, 18026, 6, 21979, 8669, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 32076, 8, 8728, 5466, 4, 20, 33215, 16739, 9, 381, 6, 2060, 119, 6, 8, 83, 3639, 7, 5, 2214, 18, 17627, 17274, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50796, 50456, 53001, 50827, 57570, 50808, 52083, 57661, 52948, 51484, 58302, 50854, 52251, 61629, 52571, 51283, 52187, 51801, 50461, 51687, 51283, 52340, 52337, 53129, 52096, 78937, 51477, 51414, 51318, 51957, 51496, 78785, 50979, 51047, 50944, 51203, 58047, 57075, 53790, 50846, 51827, 59980, 50935, 51412, 50420, 52932, 51108, 52828, 50904, 51546, 50851, 51208, 51079, 57570, 50878, 51842, 52083, 68018, 52828, 50827, 51546, 50972, 50424, 60331, 50944, 51419, 50426, 51042, 51806, 52828, 50874, 51208, 51753, 57570, 51183, 51287, 51502, 50846, 52083, 51077, 73402, 55730, 50935, 51203, 51546, 50933, 52828, 56626, 51687, 50978, 52571, 50838, 51719, 50905, 51414, 50838, 52948, 50932, 51957, 51021, 66290, 51687, 53487, 51719, 54143, 52571, 53233, 51414, 54249, 51957, 51551, 51042, 51330, 68279, 50944, 56981, 65964, 50827, 51546, 50827, 52828, 50827, 65634, 54735, 50935, 57062, 51363, 51208, 50928, 51546, 54485, 52932, 52256, 51842, 50446, 53001, 51318, 50447, 52948, 51242, 75720, 51546, 50904, 80162, 52828, 70936, 52109, 54249, 50450, 51042, 51199, 50979, 51255, 50944, 79370, 60629, 51187, 56782, 50935, 57482, 50845, 51546, 50984, 52828, 77638, 51737, 50456, 52948, 51003, 51546, 50874, 52828, 50822, 57570, 50859, 51842, 52083, 53848, 50935, 58430, 50844, 69643, 58302, 50878, 52251, 59322, 51208, 50907, 51546, 50822, 52828, 50822, 57157, 51274, 51042, 51314, 70645, 50944, 51241, 50935, 51267, 58047, 50955, 64547, 50818, 51827, 52871, 53001, 50981, 51546, 50827, 52828, 50851, 51208, 50972, 57570, 51377, 51842, 52083, 51158, 50423, 51546, 50912, 52828, 53220, 50979, 51008, 60331, 51546, 50827, 52828, 77638, 51481, 52352, 51502, 54660, 50935, 51221, 50944, 51255, 51546, 50933, 52828, 68858, 50979, 74257, 52948, 50995, 51957, 51030, 57570, 51255, 64547, 50818, 52083, 51073, 50435, 51208, 50928, 51546, 50928, 58105, 51496, 51042, 51709, 50979, 51312, 66523, 50935, 50810, 52828, 51051, 51208, 51174, 51546, 51174, 52166, 56755, 50935, 51255, 50442, 50944, 74971, 53001, 51312, 51208, 50928, 51546, 50928, 58302, 51400, 51468, 52251, 51110, 50447, 52828, 50874, 51208, 51142, 51546, 55514, 51042, 52188, 50979, 51412, 50944, 51203, 61253, 51287, 51502, 53545, 50935, 50845, 51546, 51123, 52828, 55346, 52109, 51318, 54457, 50882, 52828, 50874, 51546, 78108, 51277, 53916, 51337, 58805, 50820, 52671, 51177, 50459, 51727, 66115, 50878, 59358, 69643, 51042, 50971, 52828, 51051, 50461, 52571, 51627, 51687, 51535, 53129, 52096, 52187, 51801, 78937, 51749, 51414, 51627, 51957, 51552, 78785, 50979, 51255, 50944, 51221, 50935, 51043, 52340, 52337, 58805, 53829, 52948, 50955, 52828, 75397, 50972, 51546, 50972, 57570, 50890, 51960, 52083, 55081, 53001, 51534, 50935, 58430, 60296, 50867, 52828, 50912, 58302, 51142, 52251, 61823, 51042, 64396, 75419, 50944, 56981, 50844, 51546, 50822, 52828, 77638, 50972, 58047, 59661, 51502, 50828, 51827, 56338, 50935, 51203, 50944, 51203, 50979, 51337, 51546, 50933, 52828, 56626, 52932, 50972, 51957, 50936, 57570, 50942, 51468, 52083, 52262, 51208, 50928, 51546, 60622, 51414, 61417, 52948, 51753, 51687, 51253, 51719, 51253, 52571, 50932, 51957, 51090, 51042, 51108, 50979, 50915, 66523, 50935, 65964, 50851, 51546, 50851, 52828, 51051, 57570, 51103, 58805, 50818, 52083, 50983, 50441, 50935, 51203, 50944, 76097, 52932, 51310, 51208, 51832, 51546, 51269, 52828, 51269, 51842, 50446, 53001, 51542, 50447, 52948, 51312, 51208, 50907, 51546, 50874, 52828, 64913, 52109, 77069, 51687, 51803, 51719, 51939, 52571, 52140, 51414, 52140, 51602, 51033, 51042, 51330, 50979, 50959, 50944, 56981, 59904, 51437, 55423, 50935, 57482, 61365, 50892, 51546, 51022, 52828, 56838, 51546, 50827, 52828, 75397, 50838, 54052, 55053, 51602, 62354, 67380, 60296, 50857, 51546, 50851, 52828, 50851, 57157, 50936, 78785, 50979, 50915, 50944, 51255, 50935, 51043, 52455, 52944, 52932, 50878, 51957, 51274, 52828, 75397, 50838, 51546, 50838, 57570, 50836, 67955, 50895, 52083, 55081, 52948, 52431, 62974, 50944, 50838, 52828, 50912, 58302, 50857, 52251, 59066, 51042, 60184, 75419, 61253, 52828, 50874, 51546, 50892, 51208, 51328, 58047, 50878, 51927, 51502, 50839, 51827, 55658, 76168, 50944, 51255, 50979, 51043, 52828, 60675, 57570, 51221, 51960, 52083, 67174, 52571, 51576, 51687, 51480, 51719, 51480, 51957, 51496, 51042, 51330, 75419, 50944, 65964, 50827, 51546, 50827, 52828, 50827, 58805, 53905, 50935, 51221, 50944, 51194, 51208, 50928, 51546, 71096, 50979, 74971, 57570, 51178, 51842, 52083, 59414, 51208, 50864, 51546, 50827, 52828, 52989, 51719, 51775, 51687, 51253, 52571, 51097, 78785, 74805, 66523, 50935, 51373, 67310, 55079, 50935, 57999, 60429, 51233, 51208, 51832, 51546, 51269, 52828, 56773, 51957, 50882, 52828, 50874, 51208, 51058, 51546, 51058, 58302, 50854, 60524, 50846, 52251, 56132, 51181, 62354, 51051, 70257, 52828, 60863, 52036, 53487, 50799, 52932, 51742, 52102, 51445, 51303, 51313, 51414, 51313, 52109, 51445, 51533, 51551, 50872, 51852, 51017, 52056, 51863, 56515, 52414, 54143, 58047, 50854, 60524, 50818, 51827, 67972, 77570, 51125, 51043, 50417, 61249, 50810, 52156, 53932, 53463, 50827, 51385, 50838, 51530, 50838, 58047, 53651, 51842, 51827, 52919, 50423, 69509, 64786, 60774, 53463, 53881, 51017, 51108, 72080, 65500, 51125, 50833, 51530, 50874, 53463, 50874, 51385, 50974, 59491, 50863, 52604, 77840, 51125, 51203, 50992, 51363, 51530, 50827, 53463, 50827, 52480, 50878, 51361, 50891, 52604, 51714, 50437, 52171, 50854, 55545, 51496, 51017, 51108, 68100, 62993, 51125, 50810, 51385, 50874, 51530, 50874, 53463, 51008, 65634, 59797, 53598, 58709, 51125, 51255, 50992, 51043, 51385, 50928, 51530, 68211, 52171, 51742, 50444, 51414, 51097, 78718, 51385, 50912, 51530, 50874, 53463, 64827, 54051, 55620, 51980, 51145, 51017, 51380, 62039, 65500, 67453, 52029, 51502, 59671, 53809, 57622, 69320, 50992, 50845, 51530, 50851, 53463, 50874, 51385, 51470, 50454, 50872, 51337, 50455, 54051, 51397, 50456, 53001, 51627, 51727, 50806, 51530, 50874, 53463, 54874, 51239, 54603, 51125, 59395, 50822, 50799, 52109, 51199, 52102, 50932, 51303, 51097, 51414, 51097, 51533, 77742, 51097, 50872, 51351, 50992, 51241, 51125, 51003, 51385, 51749, 51530, 51749, 53463, 51749, 58135, 63180, 51065, 54213, 51065, 63416, 51065, 54951, 51065, 62184, 51065, 59509, 51065, 52966, 51065, 75717, 51065, 50908, 50428, 51065, 58832, 51065, 64161, 52340, 51145, 51065, 53962, 51957, 51551, 51042, 52015, 50979, 51452, 52332, 51244, 52187, 51148, 51065, 62713, 52109, 51703, 52948, 51703, 52571, 52015, 51687, 52015, 51719, 51742, 50944, 51127, 50935, 51183, 51065, 63633, 51065, 68210, 51065, 59445, 51065, 52958, 51065, 62889, 51065, 50928, 50440, 51065, 71096, 51065, 65112, 51065, 54189, 51065, 71102, 51065, 67394, 51065, 60571, 51065, 63078, 51065, 62849, 51065, 52846, 51065, 69232, 51065, 69909, 51065, 58207, 51065, 60202, 51065, 60570, 51065, 53007, 51065, 58901, 51065, 54600, 51065, 61824, 51065, 57995, 52473, 51939, 51065, 50825, 51094, 50274, 51552, 51037, 52397, 51017, 52347, 50310, 50972, 74987, 61662, 79400, 51557, 51592, 52356, 59622, 51539, 53735, 57829, 55349, 51313, 50939, 51074, 51495, 75856, 51719, 52151, 74987, 69604, 51064, 50873, 51983, 50421, 51017, 52347, 50310, 63666, 71203, 50939, 54325 ]

[ 0, 250, 5679, 26709, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 6755, 12547, 6, 1893, 43639, 6, 5921, 3343, 1290, 642, 5255, 6, 30062, 620, 7085, 12280, 642, 6, 8, 6168, 3540, 6, 2351, 10, 19448, 5466, 20455, 9, 10, 822, 1471, 50, 1619, 930, 4, 8504, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 3136, 23, 41, 178, 5285, 20889, 6, 19, 10, 33215, 16739, 9, 230, 10431, 6, 274, 119, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 53148, 51801, 51794, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 55111, 50845, 55111, 68468, 61306, 59478, 59478, 65521, 65521, 56350, 60850, 50845, 60850, 53562, 57436, 50845, 57436, 68468, 59316, 57292, 57292, 58902, 58902, 53581, 55111, 50845, 55111, 71007, 77955, 50838, 50799, 57794, 51047, 57794, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54869, 50989, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 56841, 51047, 56841, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54980, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 50838, 57190, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 53148, 51801, 51794, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 55111, 50845, 55111, 68468, 61306, 59478, 59478, 65521, 65521, 56350, 60850, 50845, 60850, 53562, 57436, 50845, 57436, 68468, 59316, 57292, 57292, 58902, 58902, 53581, 55111, 50845, 55111, 71007, 77955, 50838, 50799, 57794, 51047, 57794, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54869, 50989, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 59442, 51047, 59442, 51047, 50989, 69711, 70713, 70713, 65521, 65521, 54980, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 70529, 54895, 56551, 54428, 58449, 56976, 50864, 50799, 64156, 50827, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 51794, 51243, 53148, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 53089, 50795, 53089, 51918, 54294, 50795, 54294, 51798, 50965, 59316, 57292, 57292, 58902, 58902, 50838, 52838, 50795, 52838, 51923, 51040, 77955, 50838, 53089, 50795, 53089, 50795, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52405, 50918, 52405, 50918, 52065, 51243, 71241, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 51905, 50918, 51905, 56811, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 70529, 54895, 56551, 54428, 58449, 56976, 50864, 50799, 64156, 50827, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 51794, 51243, 53148, 51801, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 53089, 50795, 53089, 51918, 54294, 50795, 54294, 51798, 50965, 59316, 57292, 57292, 58902, 58902, 50838, 52838, 50795, 52838, 51923, 51040, 77955, 50838, 53089, 50795, 53089, 50795, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52405, 50918, 52405, 50918, 52065, 51243, 71241, 66982, 61418, 61418, 58902, 58902, 53052, 51040, 77955, 52718, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 56939, 52045, 70244, 52045, 50450, 50989, 66982, 61418, 61418, 58902, 58902, 53581, 51040, 77955, 50838, 57211, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 52122, 51640, 52122, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52315, 64452, 61306, 59478, 59478, 65521, 65521, 50932, 54142, 52313, 52671, 50802, 55862, 52175, 51606, 64452, 59316, 57292, 57292, 58902, 58902, 50838, 53775, 52325, 52083, 50976, 51040, 77955, 50838, 57106, 50976, 50799, 52202, 51407, 54577, 51407, 69766, 66982, 69711, 70713, 70713, 65521, 65521, 57410, 50722, 50298, 52062, 71241, 69711, 70713, 70713, 65521, 65521, 54498, 53042, 50838, 53042, 66982, 69711, 70713, 70713, 65521, 65521, 56350, 52307, 50838, 52307, 52985, 52307, 50838, 52307, 57712, 58194, 70713, 70713, 65521, 65521, 56109, 53839, 50838, 53839, 50838, 50799, 53314, 51080, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 56817, 51080, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 65668, 52315, 50802, 54142, 52125, 50989, 69711, 59478, 59478, 65521, 65521, 56350, 52671, 50802, 55862, 52175, 51606, 69073, 66982, 57292, 57292, 58902, 58902, 50838, 53775, 52325, 52083, 75465, 77955, 50838, 57106, 50802, 50799, 52251, 51009, 53314, 51009, 69766, 66982, 69711, 70713, 70713, 65521, 65521, 50932, 52458, 51353, 52458, 74905, 50722, 50298, 52062, 71241, 69711, 70713, 70713, 65521, 65521, 54498, 53042, 50932, 53042, 69711, 69711, 70713, 70713, 65521, 65521, 54980, 52307, 50932, 52307, 58194, 58194, 70713, 70713, 65521, 65521, 50932, 50799, 54568, 51080, 54568, 51080, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52083, 50976, 50989, 69711, 59478, 59478, 65521, 65521, 50932, 57106, 74961, 52251, 50975, 56817, 58981, 50989, 66982, 57292, 57292, 58902, 58902, 50838, 51600, 50807, 50454, 51827, 50823, 54876, 54178, 51040, 77955, 67590, 52156, 50860, 56660, 50860, 50799, 52604, 51009, 53916, 52045, 50871, 58194, 59478, 59478, 65521, 65521, 50932, 51526, 51353, 51526, 51353, 51201, 51036, 58358, 51009, 60564, 57292, 58902, 58902, 53052, 50871, 51680, 50871, 51680, 50437, 52604, 50976, 58358, 61147, 50906, 59478, 65521, 65521, 56350, 52156, 50976, 56660, 58317, 50906, 59478, 65521, 65521, 50932, 50452, 51827, 50860, 54876, 55273, 52251, 50802, 56817, 50802, 50799, 52083, 51009, 50989, 69711, 65521, 65521, 66985, 66985, 50932, 51910, 51353, 51910, 51353, 51395, 51036, 57106, 60625, 51028, 58902, 60778, 60778, 53052, 50989, 51680, 50989, 51680, 50437, 52156, 50976, 56660, 61147, 53339, 52045, 50973, 70713, 66985, 66985, 50932, 50445, 51827, 50975, 54876, 58981, 50973, 70713, 66985, 66985, 50932, 50452, 52251, 50823, 56817, 54178, 52083, 50860, 57106, 66426, 52671, 51407, 51488, 51407, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52458, 51353, 52458, 51353, 51426, 55834, 50989, 69711, 70713, 70713, 65521, 65521, 54498, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 65518, 51165, 51918, 71006, 51357, 51798, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 73199, 51375, 51923, 51491, 65728, 50795, 50799, 52541, 50918, 52032, 72025, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 51794, 51161, 61155, 57944, 50965, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52315, 50802, 53780, 51036, 50989, 69711, 59478, 59478, 65521, 65521, 50932, 54142, 52313, 52671, 50802, 55862, 52175, 51606, 69073, 69711, 59478, 59478, 65521, 65521, 50932, 53775, 52325, 52083, 50976, 72888, 57106, 50976, 57126, 69711, 70713, 70713, 65521, 65521, 50932, 52458, 51353, 52458, 51353, 51629, 79819, 51243, 50415, 52202, 51009, 55837, 57214, 51558, 51631, 50989, 69711, 70713, 70713, 65521, 65521, 50932, 51558, 51736, 51811, 51646, 57794, 50838, 52541, 51036, 50965, 61306, 70713, 70713, 65521, 65521, 50932, 52405, 51918, 54157, 50838, 51690, 51798, 54157, 59316, 61306, 70713, 70713, 65521, 65521, 50932, 51690, 51923, 54542, 50838, 51811, 50795, 50799, 56841, 51080, 50965, 61306, 59478, 59478, 65521, 65521, 50932, 51640, 51353, 51640, 51353, 51905, 50918, 51794, 51243, 62144, 59316, 57292, 57292, 58902, 58902, 53052, 51040, 77955, 52718, 52315, 50976, 53780, 74882, 69711, 59478, 59478, 65521, 65521, 50932, 77398, 54142, 60815, 51629, 59513, 52671, 50975 ]

[ 0, 250, 15352, 30054, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 5, 2216, 4069, 9, 21072, 6, 5730, 2342, 4467, 6, 8, 31026, 16793, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 11498, 10, 19448, 38451, 3938, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51755, 56545, 62394, 54877, 53473, 56129, 50857, 53440, 58810, 50891, 52399, 64698, 63521, 52705, 51053, 55021, 55681, 60033, 79695, 53548, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 53800, 75895, 71339, 56761, 50843, 64698, 59716, 50843, 57323, 53980, 51065, 60495, 55259, 57888, 55021, 56129, 61960, 67685, 57108, 51170, 55263, 53944, 55681, 50864, 54032, 58043, 57291, 52705, 50985, 50388, 51433, 59376, 53759, 55681, 53996, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 53800, 50813, 54710, 68376, 51126, 58201, 58043, 50904, 55975, 56129, 50857, 79821, 54877, 54376, 54452, 56332, 53800, 56598, 50368, 52268, 51126, 53440, 64698, 51000, 52399, 55681, 55470, 52705, 51053, 55021, 60349, 74767, 79695, 53548, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 57158, 50840, 53764, 78736, 58255, 50843, 55147, 53439, 50843, 60349, 55108, 51065, 60495, 55259, 57888, 55021, 53800, 61391, 67685, 50840, 54268, 58557, 60140, 55263, 53162, 50843, 58810, 55721, 52705, 50985, 54501, 58810, 61851, 59376, 53409, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 57323, 50886, 54710, 64698, 51000, 58201, 57526, 55053, 50843, 55681, 50864, 51755, 56545, 58986, 60495, 58388, 54877, 53473, 54845, 50855, 53440, 68376, 51126, 52399, 57526, 50371, 53290, 50373, 53290, 53109, 52705, 50985, 54501, 57526, 59126, 58514, 53855, 51065, 60495, 55259, 57888, 65383, 50384, 53221, 56690, 53800, 61391, 66204, 59974, 52834, 50365, 53290, 62652, 58043, 54854, 50843, 55681, 55643, 50843, 62652, 50365, 53290, 78090, 50835, 51658, 58484, 69629, 60495, 58388, 54877, 53473, 57323, 50886, 54268, 60349, 75003, 61568, 50867, 54032, 58272, 56377, 52705, 50985, 54501, 58272, 72956, 59376, 50383, 53290, 50370, 53290, 53003, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 56129, 50857, 54710, 68376, 51126, 58201, 58810, 50369, 53290, 78090, 54603, 50843, 57526, 50371, 53290, 50369, 53290, 50891, 66790, 60495, 55259, 54452, 56332, 56129, 61960, 67685, 50840, 53440, 58810, 50891, 52399, 58272, 50367, 53290, 50373, 53290, 53109, 52705, 50985, 54501, 56454, 58533, 58514, 53855, 52705, 50985, 65572, 50384, 53221, 56690, 55681, 71016, 50368, 52268, 74351, 66204, 59974, 52834, 50365, 53290, 62652, 60349, 55487, 50843, 61551, 57039, 50843, 58810, 50369, 53290, 78090, 50835, 51658, 58484, 69629, 60495, 58388, 54877, 53473, 55681, 50864, 54268, 58043, 60380, 61568, 50867, 54032, 58810, 55721, 52834, 50370, 53290, 55170, 57888, 55021, 60349, 74767, 79350, 55268, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 57323, 50886, 54710, 55681, 54232, 50843, 61551, 66623, 50374, 53830, 57187, 52834, 50369, 53290, 58810, 60349, 50971, 50799, 56586, 51095, 56302, 51095, 77030, 51110, 73910, 56357, 51101, 51935, 50985, 58986, 60495, 58388, 54877, 53473, 53800, 50813, 53440, 64698, 51000, 52399, 60349, 50370, 53830, 66786, 55470, 77030, 50855, 56586, 50857, 56302, 50809, 51181, 50811, 56357, 54169, 58484, 54501, 57526, 59126, 58514, 53855, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 61551, 61660, 77030, 50855, 56586, 50887, 56302, 50836, 51181, 50803, 56357, 53833, 56454, 50370, 53290, 50365, 53290, 54075, 50843, 64698, 59716, 77030, 50841, 56586, 50846, 56302, 50839, 51181, 50817, 56357, 53833, 57526, 50371, 53290, 78090, 52621, 77030, 50813, 56586, 52101, 56302, 50800, 51181, 50803, 56357, 53309, 58484, 69629, 60495, 58388, 54877, 53473, 55681, 50864, 54268, 58043, 60380, 61568, 54434, 58477, 50836, 69145, 50887, 56852, 50862, 51957, 50803, 61879, 53800, 56454, 54914, 52705, 50985, 50388, 51433, 59376, 50383, 53290, 50370, 53290, 56454, 57323, 54105, 58477, 52382, 56302, 52382, 54837, 53363, 51640, 52442, 56433, 52919, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 56129, 50857, 54710, 68376, 60325, 50757, 50322, 50813, 50757, 50327, 50830, 52834, 78090, 54640, 60349, 61545, 79051, 50813, 79592, 52757, 50599, 50369, 53290, 58810, 64698, 51000, 50799, 50757, 50317, 50833, 50757, 50322, 50942, 51935, 50985, 58986, 60495, 58388, 54877, 53473, 55681, 59834, 79051, 50833, 79592, 56613, 60349, 55650, 50757, 50322, 50855, 50757, 50327, 50910, 52834, 50373, 53290, 55147, 58043, 57559, 79051, 50904, 79592, 53530, 57888, 55021, 61551, 75613, 79695, 53548, 50757, 50322, 50855, 50757, 50317, 53530, 58484, 65572, 61769, 56851, 60495, 58388, 56152, 53759, 56129, 57050, 79051, 50855, 79592, 52757, 50599, 50365, 53290, 62652, 64698, 56693, 50757, 50322, 50857, 50757, 50327, 61676, 57526, 54483, 79051, 50844, 79592, 53376, 50599, 78090, 54640, 64698, 55666, 50757, 50317, 50813, 50757, 50322, 53530, 58484, 69629, 60495, 59773, 55681, 68441, 67685, 57108, 80015, 50812, 79051, 61960, 55263, 53944, 66203, 62232, 50757, 50317, 50827, 50757, 50322, 59301, 61551, 57298, 80015, 50854, 79051, 54312, 58484, 50388, 51433, 59376, 50383, 53290, 50370, 53290, 56454, 64698, 55634, 50757, 50317, 50866, 50757, 50322, 53704, 58484, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 55681, 57186, 50757, 50322, 50858, 50757, 50327, 56593, 61551, 55293, 79051, 50865, 79592, 75870, 78090, 54640, 58043, 59934, 52834, 50369, 53290, 58810, 66203, 51128, 50799, 77030, 51110, 56586, 51095, 56302, 51095, 73910, 56357, 51101, 51935, 50985, 58986, 60495, 58388, 54877, 53473, 55681, 50864, 53440, 57323, 50886, 52399, 61551, 66623, 66786, 55470, 56302, 50809, 77030, 50855, 56586, 50857, 51181, 50811, 56357, 54169, 58484, 54501, 61551, 75613, 79695, 53548, 51289, 61769, 56851, 60495, 58388, 56152, 54405, 57888, 55021, 56129, 57050, 77030, 50855, 56586, 50887, 56302, 50836, 51181, 50803, 56357, 77624, 50365, 53290, 62652, 61551, 55286, 50843, 78736, 70709, 56586, 50846, 77030, 50841, 56302, 50839, 51181, 50817, 56357, 77624, 78090, 54640, 64698, 55666, 77030, 50813, 56586, 52101, 56302, 50800, 51181, 50803, 56357, 53309, 58484, 69629, 60495, 58388, 54877, 53473, 55716, 59138, 51170, 55263, 53944, 60349, 56069, 69145, 50887, 58477, 50836, 56852, 50862, 51957, 50811, 61879, 53800, 55630, 54284, 52705, 50985, 50388, 51433, 59376, 53759, 60349, 50370, 53830, 50370, 53830, 55256, 58477, 52382, 56302, 52382, 54837, 53363, 51640, 52442, 56433, 52919, 52705, 50985, 65572, 61769, 56851, 60495, 58388, 53589, 52141, 53800, 50813, 54710, 61551, 55293, 50757, 50322, 50813, 50757, 50327, 50865, 52834, 78090, 54640, 61551, 58182, 79051, 50813, 79592, 54796, 66203, 50367, 53830, 50369, 53830, 51000, 50799, 50757, 50317, 50833, 50757, 50322, 54312, 56545, 58986, 60495, 58388, 54877, 53473, 55681, 59834, 79051, 50833, 79592, 56613, 55681, 54202, 50757, 50327, 50910, 50757, 50322, 54845, 55630, 50372, 53290, 50373, 53290, 53109, 79051, 50904, 79592, 53530, 58484, 50388, 51433, 58514, 53473, 73339, 59197, 50757, 50317, 50833, 50757, 50322, 53933, 58484, 65572, 61769, 56851, 60495, 59773, 55681, 68441, 66204, 59974, 79051, 50855, 79592, 52757, 50599, 50365, 53290, 62652, 66203, 57378, 50757, 50322, 50857, 50757, 50327, 60174, 60349, 59068, 79051, 50844, 79592, 53376, 50599, 78090, 54640, 66203, 60438, 50757, 50322, 50833, 50757, 50317, 53309, 58484, 54501, 55147, 57086, 60495, 58388, 54877, 55201, 79051, 50857, 80015, 55300, 55263, 53944, 66203 ]

[ 0, 250, 15855, 8, 5175, 1619, 2214, 14, 7630, 6568, 6453, 9, 11098, 8, 26545, 4, 20, 2125, 1575, 10, 6755, 12547, 6, 21979, 8669, 6, 18558, 6, 25044, 139, 10170, 1499, 6, 8, 2342, 4467, 6, 70, 8216, 7, 63, 11653, 8, 25306, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 15229, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 32625, 13569, 9862, 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 ]

[ 51540, 50626, 63578, 53424, 51933, 53539, 51538, 50453, 53424, 51066, 53539, 51932, 50463, 55883, 50896, 53915, 51500, 50475, 53539, 51345, 50476, 53424, 51160, 50485, 53062, 50918, 54343, 51103, 51474, 50437, 53424, 51623, 53539, 51623, 50473, 52860, 51427, 53424, 51566, 50485, 52860, 52512, 54343, 51356, 51474, 50437, 53210, 51573, 53539, 51343, 50461, 53062, 51446, 58013, 51183, 50462, 57843, 51183, 51540, 53424, 53380, 55954, 53380, 50479, 50856, 50907, 51540, 51994, 51054, 51150, 51795, 51725, 50981, 51207, 51241, 51032, 51091, 50986, 51091, 50998, 51294, 50415, 51848, 65280, 50369, 52094, 60155, 51994, 52369, 50431, 50856, 56006, 51725, 51109, 51207, 51159, 51032, 51157, 50986, 51159, 50998, 51157, 50439, 52013, 53701, 50584, 50370, 52094, 65415, 51207, 50959, 62459, 57573, 51725, 50822, 75423, 50462, 51098, 51029, 51725, 51178, 51207, 51110, 65930, 50998, 51095, 51032, 51111, 50463, 53438, 60746, 56162, 57656, 67225, 50864, 50477, 51994, 51460, 50478, 51725, 51309, 51207, 50959, 50998, 50955, 65499, 51032, 50955, 50479, 51848, 50371, 53323, 51126, 51540, 51873, 51527, 51150, 52369, 51725, 51351, 51504, 51191, 51131, 51191, 50970, 51191, 51032, 51191, 50947, 51189, 50415, 51848, 59260, 72838, 52788, 51994, 52369, 51725, 51056, 51207, 51157, 50986, 51056, 62299, 51032, 51073, 50439, 52013, 54858, 50584, 50370, 52094, 65126, 51207, 50978, 50986, 51058, 50998, 50959, 51725, 50955, 64145, 50462, 51098, 51029, 51207, 51111, 51725, 51111, 50986, 51111, 50998, 51060, 51032, 51173, 50463, 50816, 56700, 55785, 58948, 50904, 50478, 52619, 51354, 51725, 51534, 51207, 50959, 74036, 68864, 77850, 50479, 51848, 50827, 51540, 51150, 52827, 51725, 51381, 51504, 50914, 51131, 51191, 50970, 51204, 51032, 51191, 50947, 51189, 50415, 51873, 51527, 51848, 54858, 50584, 50370, 52094, 52788, 51994, 52311, 51725, 51267, 51207, 51221, 50986, 51221, 50998, 51116, 51032, 51116, 50439, 52013, 55921, 73340, 62564, 51207, 50955, 50986, 50959, 51725, 51058, 50998, 50959, 51032, 74022, 51848, 50912, 50462, 51098, 51300, 51725, 51346, 51207, 51095, 50986, 51116, 50998, 51116, 51032, 51238, 50463, 51321, 69372, 53657, 58948, 50857, 50477, 52619, 51460, 50478, 51207, 51115, 51032, 50977, 51725, 50959, 73248, 74245, 50479, 51321, 51022, 51540, 52498, 56073, 51389, 51352, 51311, 51346, 50929, 51116, 51076, 51124, 50960, 51116, 50415, 51848, 50380, 53323, 73340, 53614, 51207, 51162, 51076, 51095, 51444, 51124, 50960, 50991, 50929, 51112, 50439, 52013, 55892, 73340, 78454, 51444, 50959, 51207, 50959, 59028, 50960, 51008, 51076, 50933, 50455, 51848, 50912, 50462, 51098, 51300, 51444, 51121, 51207, 51178, 50960, 51121, 50929, 51110, 51076, 51100, 50463, 50816, 50374, 52094, 53701, 50584, 55785, 50822, 50478, 51444, 50987, 51207, 50978, 75646, 78348, 69092, 50479, 50856, 50907, 51540, 51873, 51054, 51389, 51352, 51444, 51003, 51207, 51241, 51076, 50889, 50960, 51346, 50929, 51204, 50415, 51848, 65280, 50369, 52268, 60155, 51873, 52369, 50431, 50856, 56006, 51207, 51109, 51076, 51159, 51444, 51025, 50960, 51346, 50929, 51346, 50439, 52013, 53701, 50584, 73340, 62564, 50960, 50959, 67325, 51076, 51008, 51444, 50959, 51207, 50959, 50462, 51098, 51029, 51444, 51221, 51207, 51124, 50960, 51095, 50929, 51116, 51076, 50967, 50463, 50816, 54336, 56706, 67225, 50864, 50464, 53094, 51573, 50478, 62326, 65712, 51076, 50878, 51444, 50844, 51207, 50959, 50479, 51873, 51388, 51848, 54858, 50584, 51123, 51540, 51389, 51407, 51444, 51194, 51207, 51377, 50960, 51178, 50929, 51159, 51076, 51124, 50415, 51848, 56241, 50371, 52094, 56115, 52330, 52097, 50438, 51207, 51162, 50929, 51116, 51076, 51346, 51444, 51203, 50960, 51116, 50439, 51873, 52311, 52013, 50371, 53323, 73340, 66663, 70748, 71720, 51444, 50959, 51207, 51008, 64162, 50462, 51098, 51029, 51207, 51121, 51444, 51177, 50960, 51095, 50929, 51111, 51076, 51060, 50463, 50816, 56700, 72237, 55171, 50822, 50477, 51873, 51460, 50478, 51207, 50955, 51076, 50833, 51444, 50959, 69462, 50929, 50813, 50479, 51848, 50827, 51540, 51531, 52097, 51389, 51407, 76901, 74175, 50970, 51013, 51032, 51073, 51444, 67697, 51848, 54858, 50584, 73340, 53945, 52330, 51527, 51207, 51346, 51444, 51221, 50960, 51112, 50929, 51116, 51076, 51345, 50439, 52013, 59220, 50370, 52094, 62564, 51444, 50874, 51207, 51376, 67293, 67325, 51076, 51051, 50455, 51848, 50912, 50462, 51098, 51761, 51444, 51221, 51207, 51221, 50960, 51110, 50929, 51124, 51076, 51116, 50463, 51873, 51527, 50816, 67049, 57656, 58948, 50857, 50478, 51207, 50959, 50929, 50959, 51076, 50933, 51444, 51051, 50960, 51051, 50479, 51321, 51022, 50485, 51994, 52208, 51540, 51150, 52311, 51725, 51346, 51207, 51116, 50998, 51162, 50929, 51178, 51032, 51116, 50415, 51848, 50380, 53323, 73340, 53891, 51725, 51043, 51207, 51178, 72094, 50998, 51162, 51032, 51124, 50439, 52013, 55892, 73340, 50984, 50454, 51725, 51058, 51207, 50866, 50986, 50955, 59664, 51032, 50959, 50455, 51848, 50912, 50462, 51098, 51573, 51725, 51194, 51207, 51121, 50986, 51177, 50998, 51110, 51032, 51100, 50463, 50816, 50374, 53323, 67789, 55785, 50822, 50478, 51207, 50942, 68583, 67271, 51725, 51337, 50986, 50942, 50479, 50856, 50907, 51540, 52679, 56082, 51584, 54484, 51793, 51352, 51725, 51233, 51504, 51110, 51131, 51178, 50970, 51100, 50947, 51100, 50415, 51531, 51552, 51848, 65280, 50369, 52268, 61699, 50856, 56006, 51725, 51377, 51504, 51400, 58993, 72429, 50970, 66326, 51531, 51552, 52013, 53701, 50584, 50370, 52094, 62564, 51725, 50977, 51504, 50978, 79740, 67418, 63852, 50462, 51725, 51178, 51504, 51221, 58183, 67830, 58993, 50463, 51531, 51527, 50816, 54336, 56706, 58948, 50864, 50478, 53691, 51427, 50947, 51365, 51725, 50822, 51504, 50959, 62459, 50970, 50959, 50479, 51848, 50371, 53323, 51123, 50485, 54445, 51551, 51783, 51196, 51540, 51793, 51469, 51725, 51221, 51504, 51363, 51131, 51178, 65930, 66906, 50970, 51111, 50415, 51873, 51573, 51848, 59260, 72838, 60394, 51725, 51051, 51504, 51051, 68860, 51131, 66059, 51994, 51388, 50438, 52679, 51469, 51584, 52536, 51725, 51346, 51504, 51157, 50986, 51346, 50970, 51157, 50947, 51124, 50439, 52013, 50371, 53323, 73340, 69506, 52498, 52369, 50454, 51725, 50959, 51504, 50959, 68860, 69236, 67292, 50462, 51504, 51178, 51725, 50849, 63896, 50970, 51121, 58993, 50463, 50856, 56485, 54620, 58948, 50904, 50478, 51725, 50822, 51504, 50978, 66805, 67395, 62458, 50479, 51848, 50827, 51540, 51584, 51551, 51567, 52195, 51793, 52195, 51725, 51346, 51504, 51267, 70804, 69160, 76901, 50986, 51073, 50415, 51531, 52097, 51848, 54858, 50584, 50370, 52094, 53945, 51555, 51356, 51902, 51356, 52078, 51496, 51444, 51162, 51207, 51056, 51311, 51238, 50960, 51091, 50929, 50983, 75743, 50439, 52330, 52311, 52013, 55921, 50370, 52094, 68926, 51848, 50912, 50462, 53240, 51552, 51725, 51191, 51504, 51241, 50986, 51091, 50970, 51204, 50947, 51134, 51131, 51191, 50463, 51584, 50918, 51321, 50369, 52094, 55182, 53225, 50822, 50464, 51783, 50983, 50476, 51873, 51460, 50479, 51321, 51022, 51540, 52041, 52382, 51555, 52382, 53691, 55362, 51725, 51056, 51207, 51056, 50998, 51095, 50929, 51377, 50415, 51848, 50380, 53323, 73340, 79171, 51994, 52208, 50438, 51725, 51423, 50998, 51203, 51032, 51255, 51207, 51194 ]

[ 0, 250, 33928, 8, 19448, 1619, 3495, 2214, 11, 211, 538, 6, 4246, 10, 13305, 6, 1021, 5901, 1243, 6, 8, 3551, 139, 4, 20, 2125, 16, 11, 155, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 4, 20, 1049, 33215, 16739, 16, 211, 6, 272, 6, 211, 6, 272, 6, 83, 6, 2351, 10, 32076, 8, 3722, 5466, 1328, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 75571, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 50896, 52040, 51274, 52176, 51585, 51275, 51585, 55030, 57944, 52461, 52309, 51280, 50806, 51578, 52322, 51198, 50896, 51516, 50896, 51034, 51516, 50896, 51489, 51196, 51869, 51585, 51232, 51585, 53398, 57944, 51516, 52309, 51578, 52322, 51516, 50896, 51034, 51869, 50896, 51232, 51274, 51153, 51196, 51489, 51196, 55030, 57944, 51232, 52309, 51198, 52322, 52040, 50896, 51429, 50896, 51275, 50896, 51034, 52176, 51196, 51099, 51196, 51429, 51196, 51198, 51585, 55030, 73078, 51708, 53585, 52040, 50896, 51275, 50896, 51034, 51489, 50806, 52533, 51585, 51280, 51585, 51153, 51585, 53398, 59047, 51275, 52247, 51489, 52309, 52040, 50806, 52070, 52322, 51280, 50896, 51516, 50896, 51034, 51578, 51196, 53483, 51585, 51198, 51585, 51275, 51585, 53879, 73078, 51232, 52322, 51516, 50806, 51494, 55451, 51578, 50806, 51034, 52461, 51196, 51869, 51585, 51099, 51585, 51275, 51585, 53879, 51161, 50438, 51578, 50896, 51034, 51099, 50896, 51516, 51196, 52040, 51585, 51275, 51585, 55030, 73078, 51198, 52322, 52040, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 50438, 51280, 50896, 51578, 50896, 51034, 51198, 51196, 51275, 51196, 53483, 51585, 51429, 51585, 59421, 57944, 51232, 52309, 51198, 72328, 52040, 50896, 51516, 50896, 51034, 51429, 51196, 52176, 51585, 52040, 51585, 51099, 51585, 55030, 51161, 50438, 51119, 50896, 51034, 51099, 51196, 52533, 51585, 52040, 51585, 51232, 51585, 59421, 73078, 51099, 53585, 51494, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 50438, 51578, 50896, 51034, 51275, 51196, 51198, 51685, 53483, 51585, 51429, 51585, 53879, 51161, 50438, 51516, 51160, 51198, 55451, 51280, 50806, 52070, 50806, 51034, 51516, 53898, 51869, 54089, 52040, 54089, 51429, 54089, 55030, 52045, 51018, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 50896, 52040, 51274, 51275, 51196, 52176, 51585, 55030, 51161, 62953, 65951, 52461, 52309, 51280, 50806, 51578, 52322, 51198, 50896, 51516, 50896, 51034, 51516, 50896, 51489, 51196, 51869, 51585, 51232, 51585, 53398, 51161, 56882, 65951, 51516, 52309, 51578, 52322, 51516, 50896, 51034, 51869, 50896, 51232, 51274, 51153, 51196, 51489, 51196, 55030, 51161, 56882, 65951, 51232, 52309, 51198, 52322, 52040, 50896, 51429, 50896, 51275, 50896, 51034, 52176, 51196, 51099, 51196, 51429, 51196, 51198, 51585, 55030, 51161, 57090, 51585, 50432, 51708, 53585, 52040, 50896, 51275, 50896, 51034, 51489, 50806, 52533, 51585, 51280, 51585, 51153, 51585, 53398, 51161, 56882, 69033, 51275, 52247, 51489, 52309, 52040, 50806, 52070, 52322, 51280, 50896, 51516, 50896, 51034, 51578, 51196, 53483, 51585, 51198, 51585, 51275, 51585, 53879, 51161, 57441, 51585, 50432, 51232, 52322, 51516, 50806, 51494, 55451, 51578, 50806, 51034, 52461, 51196, 51869, 51585, 51099, 51585, 51275, 51585, 53879, 51161, 57441, 51585, 50438, 51578, 50896, 51034, 51099, 50896, 51516, 51196, 52040, 51585, 51275, 51585, 55030, 51161, 62953, 51585, 50432, 51198, 52322, 52040, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 56882, 51585, 50438, 51280, 50896, 51578, 50896, 51034, 51198, 51196, 51275, 51196, 53483, 51585, 51429, 51585, 59421, 51161, 62953, 65951, 51232, 52309, 51198, 72328, 52040, 50896, 51516, 50896, 51034, 51429, 51196, 52176, 51585, 52040, 51585, 51099, 51585, 55030, 51161, 57090, 51585, 50438, 51119, 50896, 51034, 51099, 51196, 52533, 51585, 52040, 51585, 51232, 51585, 59421, 51161, 62953, 51585, 50432, 51099, 53585, 51494, 50896, 52461, 50896, 51034, 51489, 51196, 51869, 51585, 51232, 51585, 51153, 51585, 53398, 51161, 56882, 51585, 50438, 51578, 50896, 51034, 51275, 51196, 51198, 51685, 53483, 51585, 51429, 51585, 53879, 51161, 62953, 60655, 51516, 50806, 51198, 50896, 62953, 52692, 51280, 50806, 52070, 50806, 58252, 50806, 51034, 51516, 53898, 51869, 54089, 52040, 54089, 51429, 54089, 55030, 52045, 57090, 54089, 62953, 53898, 51018, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 51274, 52176, 51196, 51869, 51196, 51275, 51585, 55030, 73078, 51708, 50806, 51578, 52322, 52040, 50896, 51516, 50896, 51034, 51578, 50806, 51708, 51196, 51198, 51196, 52070, 51585, 53879, 59047, 51516, 52247, 51578, 52309, 52461, 52322, 51494, 50896, 52353, 50896, 51034, 51280, 51196, 51099, 51196, 52778, 51196, 51516, 51585, 53398, 57944, 51099, 55224, 51232, 52322, 51198, 50896, 52353, 50896, 51034, 52040, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 50438, 51578, 52692, 51516, 50806, 51034, 51708, 50896, 51198, 50896, 51578, 51196, 52070, 51585, 53879, 57944, 51232, 53585, 51494, 50896, 52353, 50896, 51034, 51198, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 50438, 51578, 50896, 51034, 51869, 50896, 51232, 51274, 51516, 51196, 51489, 51585, 53398, 57944, 51232, 55224, 51198, 52322, 52040, 50896, 51489, 50896, 51034, 52176, 50896, 51232, 50896, 51489, 51196, 51153, 51585, 53398, 57944, 51708, 53585, 51489, 50806, 52040, 55451, 51275, 50806, 51034, 51869, 50896, 51198, 51196, 51429, 51196, 51099, 51585, 55030, 73078, 52040, 52322, 52176, 50896, 51119, 50896, 51034, 52649, 50896, 51869, 51196, 51099, 51196, 51232, 51585, 59421, 73078, 51708, 52322, 52040, 50896, 52461, 50896, 51034, 51869, 51196, 51280, 51196, 51489, 51196, 51153, 51585, 53398, 51161, 50438, 51708, 50896, 51578, 50896, 51034, 52176, 51196, 52040, 51196, 51275, 51196, 51429, 51585, 59421, 51161, 50438, 51869, 50896, 52353, 50896, 51034, 52778, 50806, 51869, 51196, 51280, 51196, 51153, 51585, 53398, 59047, 52353, 52247, 51837, 52309, 52461, 52322, 51578, 52692, 51516, 50806, 51034, 51708, 51196, 51198, 51196, 51578, 51196, 51275, 51585, 53879, 57944, 51708, 53585, 51516, 50806, 51280, 55451, 52070, 50806, 51034, 51516, 53898, 52176, 54089, 52040, 54089, 51099, 54089, 51429, 54089, 55030, 52045, 51018, 50438, 51516, 52692, 51578, 50806, 51034, 52461, 51274, 52176, 51196, 51869, 51196, 51275, 51585, 55030, 51161, 62953, 51585, 50432, 51708, 50806, 51578, 52322, 52040, 50896, 51516, 50896, 51034, 51578, 50806, 51708, 51196, 51198, 51196, 52070, 51585, 53879, 51161, 57441, 69033, 51516, 52247, 51578, 52309, 52461, 52322, 51494, 50896, 52353, 50896, 51034, 51280, 51196, 51099, 51196, 52778, 51196, 51516, 51585, 53398, 51161, 59041, 65951, 51099, 55224, 51232, 52322, 51198, 50896, 52353, 50896, 51034, 52040, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 57441, 51585, 50438, 51578, 52692, 51516, 50806, 51034, 51708, 50896, 51198, 50896, 51578, 51196, 52070, 51585, 53879, 51161, 57441, 65951, 51232, 53585, 51494, 50896, 52353, 50896, 51034, 51198, 51196, 51099, 51196, 52461, 51196, 51516, 51585, 55030, 51161, 57441, 51585, 50438, 51578, 50896, 51034, 51869, 50896, 51232, 51274, 51516, 51196, 51489, 51585, 53398, 51161, 59041, 65951, 51232, 55224, 51198, 52322, 52040, 50896, 51489, 50896, 51034, 52176, 50896, 51232, 50896, 51489, 51196, 51153, 51585, 53398, 51161, 56882, 65951, 51708, 53585, 51489, 50806, 52040, 55451, 51275, 50806, 51034, 51869, 50896, 51198, 51196, 51429, 51196, 51099, 51585, 55030, 51161, 57090, 51585, 50432, 52040, 52322, 52176 ]

[ 0, 713, 25771, 5175, 2214, 6670, 10, 3366, 219, 8, 5679, 26709, 5466, 19, 63, 19448, 34879, 4, 660, 21979, 8669, 3315, 5, 169, 6, 7513, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 3551, 139, 6, 8, 38668, 2236, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 18399, 36830, 227, 5, 40286, 9, 230, 8, 274, 401, 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 ]

[ 57211, 62701, 54745, 63313, 52628, 69000, 50918, 50447, 75232, 51923, 66349, 50983, 66243, 62701, 53307, 63313, 52444, 69000, 50918, 52177, 75232, 51631, 66349, 51091, 50447, 62701, 52555, 63313, 54139, 69000, 51291, 66243, 75232, 54789, 66349, 51091, 50456, 52356, 50830, 67896, 51036, 64509, 52036, 51492, 50693, 50273, 55956, 52744, 59980, 52036, 51492, 52137, 51492, 52430, 51492, 52626, 51492, 50416, 52735, 51492, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51093, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51113, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 77215, 50804, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 52534, 51036, 60351, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 50804, 52744, 74862, 50809, 51570, 50809, 51572, 69342, 68125, 50809, 52320, 73165, 52485, 51107, 58747, 52744, 69299, 50809, 52288, 51358, 65660, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51154, 58101, 74219, 52359, 50804, 52744, 74862, 52444, 51154, 52744, 50809, 51572, 52510, 50945, 51291, 51088, 50967, 56311, 51291, 50804, 52744, 68125, 50809, 52320, 73165, 52485, 51154, 57068, 69299, 50809, 67896, 51036, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51093, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51113, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51036, 64509, 50693, 50273, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51201, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51165, 58747, 52744, 69299, 50809, 53596, 51036, 50693, 50278, 55956, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 53661, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 77215, 50804, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 52534, 51036, 60351, 55956, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 50804, 52744, 74862, 50809, 51570, 50809, 51572, 69342, 68125, 50809, 52320, 73165, 52485, 51107, 58747, 52744, 69299, 50809, 52288, 51358, 65660, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51154, 58101, 74219, 52359, 50804, 52744, 74862, 52444, 51154, 58101, 50809, 51572, 52510, 50945, 51291, 51088, 50967, 56311, 51291, 50804, 52744, 68125, 50809, 52320, 73165, 52485, 51154, 57068, 69299, 50809, 67896, 51358, 52430, 51492, 50693, 50273, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51113, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51299, 58101, 68125, 50809, 52320, 73165, 52485, 51251, 55157, 52744, 69299, 50809, 56142, 51358, 50693, 50275, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51154, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51088, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51358, 64509, 50693, 50273, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51113, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51299, 58101, 68125, 50809, 52320, 73165, 52485, 51251, 55157, 52744, 69299, 50809, 56142, 51358, 50693, 50275, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51154, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51088, 52496, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 67896, 51358, 64509, 50693, 50273, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51113, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51299, 58101, 68125, 50809, 52320, 73165, 52485, 51251, 55157, 52744, 69299, 50809, 56142, 51358, 50693, 50275, 64253, 52744, 50809, 51402, 68709, 75391, 50809, 51544, 74219, 52359, 51154, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51113, 60114, 52744, 68125, 50809, 52320, 73165, 50809, 51453, 69299, 50809, 52534, 51358, 60351, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51165, 57439, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 50809, 52320, 73165, 52485, 51107, 58747, 52744, 69299, 50809, 52288, 50918, 65660, 54805, 52744, 50809, 51402, 68709, 75391, 52329, 51154, 58101, 74219, 52359, 50804, 52744, 74862, 52444, 51154, 52744, 50809, 51572, 52510, 79503, 51088, 50967, 56311, 52496, 52744, 68125, 50809, 52320, 73165, 52485, 51154, 57068, 69299, 50809, 67896, 51358, 50988, 50830, 60001, 50693, 50273, 64253, 52744, 50809, 51402, 52628, 50946, 50967, 50850, 58101, 75391, 50809, 51544, 74219, 52359, 51201, 50967, 50946, 55541, 52496, 52744, 74862, 50809, 51570, 50809, 51572, 52510, 51093, 58101, 68125, 52555, 50988, 50830, 50847, 52744, 73165, 52485, 51165, 51091, 50988, 50983, 50847, 55157, 52744, 69299, 50809, 53596, 51358, 50693, 50278, 64253, 52744, 50809, 51402, 68709, 75391, 52329, 51165, 52744, 74219, 52359, 51113, 50830, 50848, 50967, 51007, 57439, 52744, 74862, 52444, 51165, 52744, 50809, 51572, 52510, 51093, 56378, 71352, 53661, 52744, 68125, 52555, 50885, 50967, 50909, 58101, 73165, 50809, 51453, 69299, 50809, 67896, 51358, 51154, 60460, 50830, 60001, 50693, 50273, 64253, 52744, 50809, 51402, 52628, 50946, 50967, 50850, 58101, 75391 ]

[ 0, 1121, 42, 17627, 17274, 5175, 2214, 6, 41, 21979, 8669, 1239, 5, 483, 6, 7513, 30, 10, 30587, 3459, 8669, 6, 3459, 9590, 6, 38668, 20535, 6, 8, 18558, 4, 590, 10, 748, 1879, 15525, 20889, 9, 24621, 741, 1685, 6, 24, 18, 278, 11, 5, 762, 9, 83, 538, 8, 1575, 10, 33215, 16739, 9, 381, 6, 211, 6, 83, 6, 381, 6, 8, 211, 4, 20, 5425, 86, 6543, 9, 24621, 73, 306, 3639, 41, 14816, 7510, 7, 42, 15352, 30054, 8, 5679, 26709, 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 ]

[ 59626, 60859, 50942, 51768, 62727, 78462, 59015, 51006, 50446, 51067, 61326, 51292, 51016, 50903, 50933, 53534, 53601, 50947, 55362, 51688, 52122, 50868, 51717, 50415, 51217, 52250, 50946, 52122, 50850, 55428, 50417, 51125, 55068, 51768, 50938, 51955, 50910, 50796, 51768, 59979, 51067, 51454, 50446, 51067, 61326, 51292, 51090, 50903, 78123, 51688, 52122, 53534, 53601, 50947, 56082, 51217, 52250, 50868, 52122, 50946, 52122, 59609, 52250, 50416, 51125, 55068, 51768, 50897, 51955, 50897, 50796, 51768, 58877, 51067, 51454, 50446, 51067, 61326, 51292, 51090, 50903, 62990, 61466, 57835, 53534, 51090, 50947, 51566, 71047, 61560, 65148, 51125, 57908, 52657, 51055, 51316, 51454, 71209, 61560, 62781, 51125, 63096, 56983, 51415, 51175, 51067, 51175, 50946, 51194, 50868, 51194, 77645, 51007, 51194, 50446, 52022, 50940, 51316, 50921, 70493, 59227, 67662, 51125, 58460, 51817, 51175, 51067, 51060, 50946, 51233, 50868, 51233, 51007, 51194, 50903, 61076, 50953, 51566, 51076, 51055, 74962, 62224, 60154, 76168, 56020, 51271, 50921, 51076, 50921, 74962, 62224, 60154, 50935, 57908, 50927, 51192, 50947, 51227, 50903, 58877, 51213, 50980, 74962, 50848, 57885, 51003, 50935, 56509, 50929, 51175, 50446, 51213, 50940, 70541, 50988, 50878, 61375, 64829, 50935, 58332, 50953, 51227, 50947, 51158, 50988, 51043, 50848, 51233, 66276, 50935, 51194, 50903, 62990, 50929, 50952, 50988, 50942, 59081, 64829, 50935, 50942, 53534, 50896, 50947, 51055, 52575, 54300, 71209, 50868, 60069, 51003, 51125, 57908, 52657, 51227, 51316, 51500, 71209, 64939, 65148, 51125, 63096, 56983, 51415, 51167, 51067, 51175, 50946, 51194, 50868, 51194, 77645, 51007, 51194, 50446, 52022, 50940, 51316, 50921, 50946, 50942, 59227, 67662, 51125, 58460, 51817, 51379, 51067, 54572, 51194, 67477, 77645, 51007, 51194, 50903, 62371, 68580, 51076, 51500, 74962, 62224, 68205, 76168, 56020, 51271, 50921, 51076, 51033, 74962, 50848, 57885, 51003, 50935, 58299, 50927, 51173, 50947, 77463, 59979, 51213, 51500, 52730, 50910, 74962, 50848, 57885, 51003, 50935, 56509, 50929, 51175, 50446, 51213, 50940, 50929, 50940, 52575, 50830, 50988, 50878, 59081, 59629, 50935, 58332, 50953, 51227, 50947, 51192, 50988, 51194, 50848, 51233, 66276, 50935, 51194, 50903, 61963, 59675, 52107, 51013, 50988, 50942, 59081, 59629, 50935, 50942, 53534, 51090, 50947, 51290, 71209, 64939, 65148, 51125, 51003, 50422, 52575, 53363, 50426, 52657, 51055, 51316, 51566, 71209, 50868, 60069, 51003, 51125, 63096, 52599, 51415, 51175, 51067, 51175, 50946, 51194, 67477, 77645, 51007, 51194, 50446, 52022, 50940, 51316, 51033, 70493, 57835, 67662, 51125, 58460, 51817, 51175, 51067, 51111, 50946, 51194, 67477, 77645, 51007, 51194, 50903, 61963, 50953, 51566, 51076, 51055, 74962, 50848, 57885, 51003, 50935, 51003, 56020, 51271, 50921, 51076, 50921, 74962, 50848, 57885, 51003, 50935, 58299, 50927, 51192, 50947, 51227, 50903, 59979, 51213, 50980, 52730, 50952, 74962, 50848, 57885, 51003, 50935, 56509, 50929, 51192, 50446, 51213, 50940, 50929, 50921, 52575, 50952, 50988, 50942, 59081, 64829, 50935, 58332, 50953, 51227, 50947, 51158, 50988, 51194, 73172, 66276, 50935, 51194, 50903, 57459, 50929, 50952, 52107, 60460, 50878, 59081, 59629, 50935, 50942, 53534, 50896, 50947, 51290, 71209, 50868, 60069, 51003, 51125, 51003, 50422, 52575, 52903, 50426, 52657, 51227, 51316, 51566, 71209, 50868, 60069, 51003, 51125, 63096, 52599, 51415, 51167, 51067, 50967, 50946, 51194, 67477, 65198, 51007, 51194, 50446, 52022, 50940, 51316, 50940, 50946, 50942, 57835, 61302, 51125, 58332, 51817, 51379, 51067, 54572, 51194, 67477, 68098, 51007, 51194, 50903, 57459, 68580, 60183, 74962, 50848, 57885, 51003, 50935, 51003, 56020, 51271, 50921, 51076, 50921, 74962, 59762, 60154, 50935, 58299, 50927, 51173, 50903, 59979, 51213, 51500, 51076, 50921, 74962, 59762, 68205, 50935, 51003, 50446, 51213, 50940, 50947, 51091, 50988, 50878, 61375, 64829, 50935, 58332, 50953, 51227, 50988, 51194, 50848, 51233, 66276, 50935, 51043, 50903, 58839, 50988, 50878, 59081, 59629, 71875, 53534, 52570, 52197, 51661, 71047, 61560, 65148, 51125, 57908, 71047, 61560, 65148, 51125, 56389, 52197, 50952, 71047, 61560, 65148, 51125, 50943, 50446, 52197, 51294, 50450, 50946, 51194, 50868, 51233, 77645, 51125, 51194, 50458, 71047, 50868, 60069, 51003, 51125, 50943, 50799, 52197, 51336, 50422, 71047, 50868, 60069, 51003, 51125, 50943, 50434, 51316, 50940, 71047, 50868, 60069, 51003, 51125, 56389, 70344, 53286, 51016, 50446, 70493, 57835, 67662, 51125, 58332, 51316, 51013, 53859, 51055, 50946, 51194, 50868, 51233, 77645, 51125, 51178, 50458, 70493, 59227, 61302, 51125, 50942, 52563, 52536, 50947, 54454, 52107, 51290, 74962, 59762, 60154, 50935, 57908, 53859, 50980, 74962, 50848, 57885, 51003, 50935, 56389, 53286, 67845, 51003, 50848, 57885, 51003, 76168, 50446, 52197, 51345, 50450, 50988, 51194, 73172, 65806, 50935, 51194, 50458, 51271, 51469, 52197, 51358, 50988, 50943, 59762, 60154, 50935, 51003, 56020, 50988, 50943, 50848, 57885, 51003, 50935, 51003, 50434, 51316, 50940, 74962, 62224, 60154, 50935, 56389, 51067, 51013, 50446, 50988, 50955, 61375, 59629, 50935, 58460, 51316, 51013, 53859, 51055, 50988, 51194, 69815, 65806, 50935, 51178, 50458, 67102, 59629, 50935, 50925, 56540, 54089, 50947, 54300, 52107, 51013, 59762, 73061, 65148, 51007, 55382, 53859, 51055, 62224, 50944, 60069, 72366, 56509, 53286, 58922, 51003, 50944, 60069, 51003, 51007, 51003, 50446, 52197, 63112, 73172, 50944, 51043, 77645, 69777, 50458, 52197, 51294, 62224, 50944, 60069, 51003, 51007, 50915, 56020, 70985, 73061, 65148, 51007, 55382, 53955, 51013, 50434, 51133, 51160, 72918, 60104, 61983, 50909, 56389, 52197, 51013, 50446, 51133, 51362, 72918, 61560, 61983, 50909, 57197, 53859, 51016, 50458, 74232, 66581, 64829, 50909, 50942, 53534, 53241, 50998, 52536, 52197, 51661, 71209, 61560, 65148, 51125, 57908, 71209, 61560, 62781, 51125, 51003, 50434, 53955, 53402, 53331, 51894, 71209, 50868, 60069, 50943, 51125, 57197, 50946, 51194, 67477, 77645, 51125, 51194, 50458, 51011, 51469, 50998, 50830, 71209, 61560, 62781, 51125, 51003, 60938, 51060, 50422, 74444, 71209, 61560, 62781, 51125, 57908, 50929, 51157, 50434, 71209, 61560, 65148, 51125, 56389, 50947, 51413, 50446, 50946, 50942, 66581, 66552, 51125, 58332, 50946, 51194, 67477, 50850, 51178, 51125, 51194, 50458, 50946, 50942, 59227, 67662, 51125, 50942, 53534, 52266, 52197, 51196, 71047, 61560, 65148, 51125, 50943, 52170, 52195, 62810, 50943, 61560, 65148, 51125, 56389, 52197, 51167, 71047, 61560, 65148, 51125, 50943, 52170, 77778, 51817, 51379, 52197, 51215, 50946, 51194, 50868, 51233, 77645, 51125, 51194, 52170, 51033, 50454, 52170, 52311, 50458, 52657, 51685, 52197, 51977, 71047, 50868, 60069, 51003, 51125, 50943, 56020, 71047, 50868, 60069, 51003, 51125, 50943, 50434, 71047, 50868, 60069, 51003, 51125, 56389, 51817, 50896, 51076, 51196, 53286, 50896, 50446, 70493, 57835, 67662, 51125, 58332, 51011, 51055, 53859, 51055, 50946, 51194, 50868, 51233, 77645, 51125, 51178, 50458, 70493, 59227, 61302, 51125, 50942, 52563, 53241, 50947, 52392, 52107, 51016, 74962, 59762, 60154, 50935, 57908, 53859, 50896, 74962, 50848, 57885, 51003, 50935, 56389, 53286, 51290, 74962, 50848, 57885, 51003, 50935, 56508 ]

[ 0, 250, 15352, 30054, 8, 1372, 5175, 14123, 3495, 2214, 4246, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 21072, 6, 8, 2342, 4467, 4, 85, 18, 11, 5, 762, 9, 381, 3694, 19, 10, 1769, 20889, 9, 24404, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 16, 3676, 6, 163, 406, 6, 8, 83, 4, 152, 1349, 34, 10, 19448, 8, 12298, 16464, 6, 442, 24, 10686, 13, 1619, 50, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 53053, 51196, 51207, 51109, 50960, 51109, 51368, 51196, 60936, 55274, 50386, 51765, 56868, 50929, 51109, 51076, 51109, 52906, 52870, 69239, 70225, 69999, 51207, 57616, 54357, 52265, 50804, 52493, 66162, 65109, 51207, 51134, 50960, 51134, 50929, 51134, 51076, 51134, 58711, 51196, 51545, 51196, 50852, 55274, 55186, 50852, 53083, 51076, 51109, 50929, 51109, 50960, 51109, 51207, 65475, 54357, 57151, 53563, 62957, 54468, 51196, 51207, 51109, 50960, 51109, 51265, 51196, 60936, 55274, 58842, 50929, 51109, 51076, 51109, 52906, 52870, 69239, 70225, 69999, 51207, 57616, 54357, 57151, 52975, 50804, 52493, 59076, 51207, 51134, 50960, 51134, 50929, 51134, 51076, 51134, 57842, 51196, 51368, 51196, 50852, 55274, 55186, 50852, 66162, 53711, 51076, 51109, 50929, 51109, 50960, 51109, 51207, 65475, 54357, 52193, 62957, 54468, 50806, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 51109, 51265, 50807, 51223, 50807, 51350, 50807, 51355, 50807, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 50947, 51109, 50420, 51137, 53072, 52870, 50947, 50892, 50998, 50987, 70437, 51265, 50807, 51223, 50807, 51350, 50807, 51355, 52496, 54357, 52265, 51374, 50806, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 65475, 52493, 66162, 65109, 50998, 51109, 50947, 51109, 54585, 53072, 55274, 55186, 65476, 50947, 50892, 50998, 50987, 70437, 51265, 50983, 51223, 50983, 51350, 50983, 51355, 50983, 50852, 53083, 52012, 51109, 51574, 51109, 51131, 51109, 50986, 65475, 54357, 57151, 57905, 50998, 51109, 50947, 77948, 51374, 53072, 50841, 54468, 51196, 52012, 51151, 51574, 51151, 52331, 51469, 60936, 55274, 58842, 51131, 51714, 50986, 51714, 50416, 50998, 51714, 50947, 51714, 52906, 52870, 52155, 55113, 54357, 57151, 52975, 50804, 52493, 50841, 54585, 51196, 51752, 53072, 55274, 55186, 51596, 58979, 66162, 50883, 51382, 54357, 52193, 51789, 51274, 62957, 54468, 50883, 51574, 51115, 51311, 51115, 50998, 51109, 53180, 53971, 53671, 55274, 50386, 51765, 56868, 51910, 78551, 51109, 51076, 51109, 51915, 70325, 51416, 50883, 51684, 50883, 51482, 50841, 51726, 51226, 50417, 52474, 51226, 52906, 52870, 69239, 51169, 50987, 50998, 50987, 51350, 50806, 51789, 52420, 53333, 52209, 51910, 50806, 51574, 51115, 51311, 51115, 50998, 51109, 51596, 52420, 52493, 66162, 65109, 51169, 51109, 51076, 61148, 51195, 51196, 51789, 53072, 55274, 55186, 51910, 50806, 69239, 51169, 50987, 50998, 50987, 51545, 51274, 51565, 58979, 53083, 51684, 50806, 51574, 51109, 51311, 51109, 50998, 65475, 53333, 60125, 57905, 51169, 51109, 51076, 77948, 52474, 50806, 51686, 51274, 62957, 57958, 51274, 51444, 51115, 51131, 51115, 50960, 51109, 52331, 53971, 53671, 55274, 58842, 51078, 51109, 50947, 51109, 53180, 70325, 51915, 50841, 51482, 51226, 52906, 52870, 50947, 50892, 51078, 50987, 69999, 51195, 50806, 51686, 55113, 53333, 60125, 52975, 51684, 50806, 51444, 51115, 51131, 51115, 50960, 65475, 52493, 59076, 51078, 51109, 50947, 51109, 54585, 51055, 51195, 51196, 51565, 53072, 55274, 55186, 50947, 50892, 51078, 50987, 69999, 51223, 51274, 51789, 58979, 66162, 53711, 51684, 51055, 51444, 51109, 51131, 51109, 50960, 65475, 53333, 56086, 51078, 51109, 50947, 77948, 51596, 53072, 50841, 54920, 51274, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 51109, 51915, 51274, 51789, 51196, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 51032, 51109, 52906, 52870, 51032, 50892, 50998, 50987, 70437, 77397, 51223, 52420, 53333, 52209, 52993, 50806, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 65475, 52493, 66162, 65109, 50998, 51109, 51032, 61148, 51368, 51274, 51223, 53072, 55274, 55186, 52993, 50806, 51032, 50892, 50998, 50987, 70437, 51545, 52586, 60372, 51436, 72208, 76443, 51725, 51109, 51574, 51109, 51207, 51109, 50986, 65475, 53333, 60125, 57905, 50998, 51109, 51032, 77948, 51910, 50806, 51726, 64518, 53072, 50841, 54468, 51274, 52012, 51115, 51574, 51115, 51131, 51115, 51317, 51109, 60936, 55274, 58842, 50998, 51109, 50947, 51109, 50420, 51726, 64518, 53072, 52870, 50947, 50892, 50998, 50987, 51317, 50987, 52155, 55113, 53333, 60125, 52975, 51374, 50806, 52012, 51115, 51574, 51115, 51131, 51115, 51317, 51109, 51368, 51685, 50804, 52493, 59076, 50998, 51109, 50947, 61148, 51752, 53072, 55274, 55186, 51374, 50806, 50947, 50892, 50998, 50987, 51317, 50987, 51726, 50806, 51596, 58979, 66162, 53711, 51349, 51055, 52012, 51109, 51574, 51109, 51131, 51109, 51317, 51109, 51482, 52420, 53333, 56086, 50998, 51109, 50947, 77948, 51915, 50806, 51789, 51274, 62957, 54468, 50883, 51574, 51115, 51311, 51115, 50998, 51109, 53180, 53971, 53671, 55274, 50386, 51765, 56868, 51910, 78551, 51109, 51076, 51109, 51915, 70325, 51416, 50883, 51684, 50883, 51482, 50841, 51726, 51226, 50417, 52474, 51226, 52906, 52870, 69239, 51169, 50987, 50998, 50987, 51350, 50806, 51789, 52420, 53333, 52209, 51910, 50806, 51574, 51115, 51311, 51115, 50998, 51109, 51596, 52420, 52493, 66162, 65109, 51169, 51109, 51076, 61148, 51195, 51196, 51789, 53072, 55274, 55186, 51910, 50806, 69239, 51169, 50987, 50998, 50987, 51545, 51274, 51565, 58979, 53083, 51684, 50806, 51574, 51109, 51311, 51109, 50998, 65475, 53333, 60125, 57905, 51169, 51109, 51076, 77948, 52474, 50806, 51686, 51274, 62957, 57958, 51274, 51444, 51115, 51131, 51115, 50960, 51109, 52331, 53971, 53671, 55274, 58842, 51078, 51109, 50947, 51109, 53180, 70325, 51915, 50841, 51482, 51226, 52906, 52870, 50947, 50892, 51078, 50987, 69999, 51195, 50806, 51686, 55113, 53333, 60125, 52975, 51349, 51055, 51444, 51115, 51131, 51115, 50960, 65475, 52493, 59076, 51078, 51109, 50947, 61148, 77397, 51545, 50806, 51565, 58979, 55274, 55186, 69789, 69239, 70225, 50960, 67011, 66162, 53711, 51137, 51055, 51207, 51109, 50960, 51109, 77397, 51545, 50806, 51789, 52420, 53333, 56086, 50929, 51109, 51076, 77948, 51596, 53072, 50841, 54309, 51274, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 51109, 51915, 50896, 51789, 51196, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 51032, 51109, 52906, 52870, 51032, 50892, 50998, 50987, 70437, 51915, 51274, 51368, 51274, 51223, 51274, 50804, 53333, 52209, 65476, 51725, 51115, 51574, 51115, 51207, 51115, 50986, 65475, 52493, 66162, 65109, 50998, 51109, 51032, 61148, 50852, 55274, 55186, 65476, 51032, 50892, 50998, 50987, 70437, 51915, 50896, 51368, 50896, 51223, 58979, 53083, 51137, 51055, 51725, 51109, 51574, 51109, 51207, 51109, 59655, 66286, 51032, 54371, 74932, 53563, 51032, 50892, 50998, 50987, 70437, 51915, 50806, 77397, 51223, 50806, 54309, 51055, 51725, 51109, 51574, 51109, 51207, 51109, 50986, 51109, 51915, 50896, 51368, 50896, 51223, 50896, 51935, 51459, 50386, 51765, 56868, 50998, 51109, 51032, 66038, 51789, 53585, 51596, 52692, 51752, 50896, 51382, 53650, 52155, 51274, 54468, 51055, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 51109, 51265, 51036, 51350, 51036, 51355, 51036, 51536, 51036, 52395, 51036, 60936, 55274, 50386, 51765, 56868, 50998, 51109, 50947, 51109, 52906, 52870, 50947, 50892, 50998, 50987, 70437, 52155, 52420, 53333, 52209, 51349, 51685, 52012, 51115, 51574, 51115, 51131, 51115, 50986, 51109, 52182, 52420, 52493, 66162, 65109, 50998, 51109, 50947, 61148, 52155, 53072, 55274, 55186, 50947, 50892, 50998, 50987, 70437, 51752, 58979, 53083 ]

[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 6, 1969, 13, 5, 1619, 191, 4, 20, 13305, 8, 32909, 483, 5, 33301, 6, 7513, 30, 5, 32625, 23225, 9, 5, 5730, 2342, 4467, 6, 38668, 22052, 6, 8, 38668, 2236, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 1375, 23, 41, 1614, 1073, 1020, 2877, 6, 24, 3905, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 1918, 6, 272, 406, 6, 8, 230, 4, 20, 204, 73, 306, 86, 6543, 31473, 10, 1472, 9, 5443, 7, 42, 8787, 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 ]

[ 57528, 50799, 53075, 51714, 51231, 50943, 51327, 51218, 51818, 60413, 51476, 51080, 50423, 51825, 51241, 55057, 50928, 51303, 71714, 51231, 51878, 50432, 51327, 51680, 50435, 52287, 51675, 50444, 51476, 50995, 50447, 51303, 51391, 57702, 50928, 51720, 50892, 51231, 58705, 51271, 50892, 54369, 64735, 51476, 51008, 56540, 51422, 53655, 51359, 51231, 51221, 51818, 51377, 50417, 52326, 51680, 50420, 51465, 67724, 51303, 51742, 51825, 51221, 55057, 53962, 51818, 55098, 51825, 76810, 53171, 51241, 50444, 79203, 51262, 54803, 51326, 50837, 52326, 51351, 51223, 50908, 51262, 53166, 51326, 54119, 50928, 68584, 51303, 51097, 63029, 51118, 77447, 68317, 51023, 79179, 51327, 51221, 51223, 50851, 51262, 54622, 51289, 50841, 70296, 51825, 50873, 51282, 50822, 51118, 68851, 50822, 51223, 51269, 51262, 79207, 51981, 50925, 51282, 50818, 51118, 50841, 62534, 51223, 50835, 51262, 50835, 51755, 51464, 50837, 51228, 51364, 56397, 51127, 53001, 51377, 54322, 51221, 52159, 51238, 51341, 51116, 51061, 50991, 51193, 52536, 52736, 51080, 52547, 51080, 54229, 51080, 51402, 51306, 54872, 51003, 51039, 51306, 51687, 51480, 51729, 50810, 51781, 54347, 50801, 56402, 51306, 51414, 50943, 51980, 50943, 51981, 50943, 54322, 50841, 52159, 50841, 62790, 51729, 50908, 51781, 50908, 51694, 51467, 50837, 51532, 51306, 54872, 51203, 54322, 50810, 52159, 50810, 63522, 51729, 78428, 79714, 51306, 51325, 50812, 51687, 50873, 54322, 50841, 52159, 50841, 51061, 54665, 50801, 55947, 51258, 52022, 50827, 51231, 51221, 51414, 51241, 51825, 51241, 51061, 51116, 51658, 51464, 50837, 51105, 51013, 56139, 51127, 52947, 51196, 53034, 51145, 52471, 51145, 53909, 51145, 51572, 51306, 52303, 51576, 51557, 50889, 51180, 51306, 51687, 51177, 51061, 51162, 51513, 50810, 51250, 54803, 50816, 59075, 51306, 51231, 50878, 51020, 50807, 51513, 50908, 51250, 50908, 51899, 51467, 50837, 51105, 51124, 51980, 51221, 51647, 51306, 51193, 50911, 51513, 50851, 51250, 50851, 51453, 51306, 51414, 50925, 51557, 50810, 51513, 51269, 51250, 51269, 51621, 51306, 50953, 50912, 51249, 50943, 51327, 51241, 51118, 51411, 51023, 51446, 51513, 50835, 51250, 50835, 51755, 51464, 50837, 50945, 51291, 53075, 51241, 51716, 51148, 52547, 51148, 53051, 51148, 51402, 51306, 51476, 51417, 52047, 51417, 51039, 51306, 51303, 51134, 51282, 51115, 79203, 51262, 50810, 51510, 51306, 51249, 50833, 51118, 51091, 51223, 50908, 51262, 50908, 51694, 51467, 50837, 51532, 51306, 53075, 51203, 51223, 50829, 51262, 79714, 51306, 51061, 53505, 50801, 54412, 51306, 63635, 51303, 51675, 51327, 51675, 51658, 51539, 50837, 50945, 51291, 53248, 51148, 52326, 51127, 51476, 51047, 51231, 51127, 51023, 50807, 51716, 51244, 52547, 51244, 53051, 51244, 51572, 51306, 52047, 51417, 50444, 58009, 51306, 51282, 51115, 79203, 51262, 54803, 50816, 55947, 51306, 51118, 51091, 51223, 50908, 51262, 71483, 50816, 51258, 50449, 76060, 51899, 51467, 50837, 51061, 50943, 51023, 50943, 54706, 51467, 51306, 51223, 50851, 51262, 54622, 50852, 50870, 51223, 51269, 51262, 51269, 62190, 51129, 50945, 50836, 51223, 50835, 51262, 50835, 65195, 53617, 51916, 50863, 50945, 51291, 56698, 51449, 51476, 50972, 51303, 51108, 51249, 51108, 51061, 51115, 51023, 51115, 51092, 51115, 51039, 51306, 51476, 51466, 51425, 50844, 51223, 55266, 51425, 51832, 51223, 51832, 51768, 51044, 50837, 51303, 51333, 51249, 51333, 51425, 51269, 51223, 51269, 50429, 51425, 50870, 51223, 50870, 51361, 51306, 51476, 51466, 51061, 51803, 51023, 51803, 51092, 51803, 51425, 52462, 51223, 52462, 56321, 51258, 65588, 51425, 50874, 51223, 50874, 51658, 52223, 50870, 50945, 51291, 51303, 51466, 51249, 51466, 51425, 51832, 51223, 51832, 50443, 53389, 51254, 52133, 50866, 51299, 55040, 54580, 51254, 53664, 50866, 51093, 55325, 51306, 51476, 52397, 51223, 51269, 51262, 51269, 50447, 51223, 50829, 51262, 56918, 53389, 51079, 52133, 50845, 51299, 53562, 54580, 51079, 53664, 50845, 51093, 79966, 64429, 51044, 50837, 51303, 51333, 51249, 51333, 50453, 51223, 51258, 51262, 51258, 50455, 53389, 51254, 51743, 50845, 51154, 53586, 54580, 51079, 52756, 50845, 51201, 52839, 51306, 51476, 51387, 50461, 51743, 51965, 51656, 51115, 51113, 51115, 50799, 52756, 51965, 53036, 51115, 51284, 51115, 51887, 51397, 51898, 51447, 51431, 51047, 52689, 51490, 53686, 51490, 54992, 51047, 61670, 50863, 50945, 51472, 56698, 51314, 51476, 50838, 51303, 50932, 51249, 50932, 51061, 51115, 51023, 51115, 51092, 51115, 51039, 51306, 51476, 52011, 51425, 50844, 51223, 55266, 51425, 51832, 51223, 51832, 51768, 51044, 50837, 51303, 51466, 51249, 51466, 51425, 51269, 51223, 51269, 50429, 51425, 50870, 51223, 62169, 54580, 51079, 52756, 50845, 53389, 51079, 51743, 50845, 51154, 50845, 51201, 50845, 51361, 51306, 51476, 51166, 51061, 51803, 51023, 50905, 51092, 50905, 51425, 52462, 51223, 52462, 56321, 51258, 50945, 50862, 51425, 50874, 51223, 64042, 51638, 51047, 50437, 52133, 50863, 51615, 50845, 67298, 51898, 50863, 51485, 66744, 53664, 50863, 53200, 51079, 52817, 50845, 51881, 51079, 51182, 50845, 51723, 51965, 52888, 58059, 51916, 50863, 51096, 50839, 51096, 51472, 55285, 51314, 51410, 51166, 51414, 50891, 51303, 51333, 51414, 51333, 51193, 51148, 51185, 51148, 51436, 50835, 51425, 51832, 51436, 51832, 50439, 52888, 52598, 53686, 52598, 55566, 51397, 50443, 53200, 51254, 52756, 50866, 51881, 51254, 51743, 50866, 51154, 50866, 51201, 50866, 51180, 51306, 51410, 52025, 51436, 51269, 51262, 51269, 60350, 51258, 51436, 50829, 51262, 52802, 53200, 51852, 52756, 51203, 51881, 51254, 51743, 50866, 51154, 50866, 51201, 51203, 51086, 64429, 51044, 50837, 51303, 51333, 51414, 51333, 50453, 51436, 51258, 51262, 51258, 50455, 53181, 51079, 51881, 51101, 51251, 62034, 51723, 51079, 51485, 56015, 50870, 51410, 51387, 50459, 54942, 50912, 53200, 50810, 51107, 61145, 54720, 51142, 52133, 50845, 51299, 50845, 52888, 51210, 53686, 51490, 54992, 51047, 50799, 55663, 51142, 53664, 50878, 51093, 50878, 51887, 51452, 52334, 51142, 51431, 51115, 61670, 50863, 73834, 55285, 50851, 51410, 50851, 51303, 51108, 51414, 50851, 51061, 51115, 51193, 50810, 51185, 56624, 54580, 50863, 54580, 52263, 52756, 51397, 53389, 50941, 51201, 51397, 51898, 51961, 52945, 50870, 52689, 52598, 50945, 50983, 56698, 51449, 51476, 50851, 51327, 50837, 51249, 51645, 51092, 50820, 51092, 51134, 51023, 51134, 50419, 53389, 51965, 51743, 51115, 51154, 51115, 51039, 51306, 51476, 51466, 51425, 50844, 51223, 55266, 51425, 51832, 51223, 51832, 51768, 51044, 50837, 51303, 51333, 51249, 51333, 51425, 51269, 51223, 51269, 50429, 51425, 50870, 51223, 53575, 52334, 51079, 51723, 52839, 51306, 51476, 51466, 51061, 51803, 51023, 51803, 51092, 51803, 51425, 52462, 51223, 52462, 56321, 51258, 65588, 51425, 50874, 51223, 67560, 52334, 51447, 51898, 51047, 51658, 52223, 50870, 50945, 51291, 51303, 51466, 51249, 51466, 51425, 51832, 51223, 51832, 50443, 53389, 51079, 52033, 51101, 51301, 72438, 54580, 50941, 53719, 50813, 51266, 51559, 51306, 51476, 52397, 51223, 51269, 51262, 51269, 50447, 51223, 50829, 51262, 56918, 53389, 51079, 51743, 50845, 51154, 53562, 54580, 51254, 52756, 50866, 51201, 51665, 50303, 64429, 51044, 50837, 51303, 51333, 51249, 51333, 50453, 51223, 51258, 51262, 51258, 50455, 52756 ]

[ 0, 250, 8787, 5175, 8, 3495, 15229, 14, 7630, 6568, 6453, 9, 11098, 6, 10563, 6, 8, 5, 2317, 4780, 149, 63, 15352, 30054, 2017, 2485, 6, 3744, 30, 10, 5544, 12547, 217, 13305, 6, 18558, 6, 13602, 6757, 6, 21979, 8669, 6, 8, 20535, 483, 6, 70, 150, 6780, 10, 7212, 20889, 11, 204, 73, 306, 86, 8, 24826, 198, 5, 762, 9, 274, 538, 6, 19, 5, 40286, 230, 8, 274, 2754, 25, 5, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 76501, 52037, 51016, 50799, 52792, 50896, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 71832, 52792, 52877, 52792, 75044, 52290, 57241, 52037, 50923, 50799, 53755, 50911, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 53435, 50799, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 74905, 52037, 57078, 52792, 56087, 52792, 58395, 52792, 61618, 52290, 54952, 52037, 59727, 52037, 57308, 52037, 50882, 50799, 53755, 50923, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 52311, 50456, 52037, 50802, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 60247, 52792, 63982, 52792, 61860, 52290, 52325, 52037, 50923, 50799, 53755, 50923, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 51407, 50450, 52037, 52325, 52037, 50802, 50799, 52792, 51237, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 52030, 52290, 56827, 52290, 57241, 52037, 51012, 50799, 53755, 50923, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 52311, 50450, 52037, 52325, 52037, 51012, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 57067, 52290, 52125, 52792, 54145, 52290, 57241, 52037, 51012, 50799, 53755, 51012, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 51407, 50456, 52037, 50923, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 57067, 52290, 58395, 52792, 54145, 52290, 52325, 52037, 50802, 50799, 53755, 50802, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 68174, 52037, 50802, 50799, 52792, 51054, 57330, 51243, 52679, 51445, 51783, 51353, 51584, 51353, 50426, 52792, 52030, 52290, 63982, 52792, 54145, 52290, 60345, 52037, 50911, 50799, 53755, 50802, 54099, 51243, 52123, 51293, 51783, 51313, 51722, 51696, 50420, 51612, 51029, 50453, 52037, 52163, 52037, 52937, 52037, 50894, 50799, 52792, 51012, 55699, 51445, 52123, 51353, 51555, 51151, 51902, 69097, 52290, 52247, 51612, 51407, 50456, 51612, 50802, 50799, 52037, 51009, 54099, 51151, 52123, 51353, 51783, 51353, 51722, 52379, 50447, 52037, 55230, 53755, 53532, 53755, 54934, 53755, 50950, 51057, 57330, 51148, 52679, 51103, 51783, 51183, 51584, 51009, 52792, 51009, 51164, 51283, 75714, 50872, 51318, 50850, 51295, 50909, 51318, 50432, 72493, 50848, 55029, 50833, 60799, 51007, 56529, 51164, 50827, 61377, 56684, 59416, 60428, 59008, 50932, 65131, 50847, 77426, 50909, 58326, 51164, 51363, 72805, 50872, 51255, 67265, 50909, 51255, 50435, 51164, 50844, 50885, 50833, 56684, 58126, 50909, 54181, 51164, 57245, 55196, 54879, 57750, 55200, 51164, 63508, 57045, 54954, 57750, 53562, 51164, 50827, 59398, 56206, 58126, 50909, 58305, 51164, 50874, 50885, 55414, 60303, 57638, 52863, 51164, 50912, 50885, 59643, 50854, 58126, 50909, 57651, 51164, 50827, 56740, 50872, 50810, 58126, 60428, 59008, 67881, 56659, 54558, 50311, 58338, 63650, 55099, 51164, 66015, 54558, 50306, 56713, 60023, 68592, 55035, 52665, 51054, 51164, 51203, 50988, 52460, 50848, 51412, 71576, 50939, 51255, 51007, 51124, 50435, 51164, 50810, 55315, 50847, 57424, 50854, 51007, 54181, 51996, 51054, 51164, 59925, 69800, 63373, 66362, 55200, 50885, 52911, 50848, 55230, 52601, 64061, 59978, 51923, 51164, 56729, 56204, 55792, 59092, 50901, 50799, 51836, 52017, 51164, 50914, 72918, 60154, 77644, 50909, 58326, 51164, 51363, 50885, 51116, 50872, 51255, 50850, 51255, 50909, 51363, 50435, 72493, 50885, 62764, 50810, 59416, 50909, 53614, 51164, 57245, 54667, 56342, 58649, 55200, 51164, 57245, 58541, 56011, 57750, 54058, 51164, 73945, 59643, 50854, 50850, 57638, 56366, 51164, 57708, 55414, 50874, 55119, 50909, 54424, 51164, 57708, 76582, 50810, 58126, 50909, 56569, 51164, 50874, 56740, 56992, 58126, 77655, 59008, 57053, 57076, 60023, 63650, 55689, 51164, 57046, 56204, 60014, 63650, 53172, 51164, 51412, 74223, 50872, 51221, 50939, 51116, 51007, 51221, 50435, 72493, 50848, 62764, 59183, 50808, 51007, 52729, 51836, 75009, 59925, 57076, 58338, 65520, 55200, 52032, 51972, 50297, 57053, 58541, 60014, 63650, 55125, 51996, 66594, 56328, 50848, 54712, 51946, 61604, 50808, 50850, 69731, 53848, 50872, 56709, 69731, 50800, 50799, 51946, 51054, 51164, 50932, 65131, 50847, 77426, 50909, 58326, 52196, 52369, 51164, 51363, 72805, 50872, 51255, 67265, 50909, 51255, 50435, 51164, 50844, 50885, 50833, 56684, 58126, 50909, 54181, 51164, 57245, 55196, 54879, 57750, 55200, 51164, 63508, 57045, 54954, 57750, 53562, 51164, 50827, 59398, 56206, 58126, 50909, 58305, 51164, 50874, 50885, 55414, 60303, 57638, 52863, 51164, 50912, 50885, 59643, 50854, 58126, 50909, 57651, 51164, 50827, 56740, 50872, 50810, 58126, 60428, 59008, 67881, 56659, 54558, 50311, 58338, 63650, 55099, 51164, 66015, 54558, 50306, 56713, 60023, 68592, 55035, 51164, 51203, 50988, 52460, 50848, 51412, 71576, 50939, 51255, 51007, 51124, 50435, 51164, 50810, 55315, 50847, 57424, 50854, 51007, 54181, 51164, 59925, 69800, 63373, 66362, 55200, 50885, 52911, 50848, 55230, 52032, 51054, 50872, 59978, 51923, 51164, 56729, 56204, 55792, 59092, 50901, 50799, 52196, 52369, 51164, 50914, 72918, 60154, 77644, 50909, 58326, 51164, 51363, 50885, 51116, 50872, 51255, 50850, 51255, 50909, 51363, 50435, 72493, 50885, 62764, 50810, 59416, 50909, 53614, 51164, 57245, 54667, 56342, 58649, 55200, 51164, 57245, 58541, 56011, 57750, 54058, 52196, 50894, 51164, 73945, 59643, 50854, 50850, 57638, 56366, 52541, 50821, 51164, 57708, 55414, 50874, 55119, 50909, 54424, 51946, 50803, 51164, 57708, 76582, 50810, 58126, 50909, 56569, 53780, 50894, 51164, 50874, 56740, 56992, 58126, 77655, 50799, 51996, 52208, 51164, 57053, 57076, 60023, 63650, 55689, 51164, 57046, 56204, 60014, 63650, 53172, 51164, 51412, 74223, 50872, 51221, 50939, 51116, 51007, 51221, 50435, 72493, 50848, 62764, 59183, 50808, 51007, 52729, 51164, 59925, 57076, 58338, 65520, 55200, 51164, 57053, 58541, 60014, 63650, 55125, 50885, 56328, 50848, 54712, 52037, 68950, 50808, 50850, 69731, 53848, 50872, 56709, 69731, 50800, 50799, 52792, 73814, 51097, 64804, 60154, 65148, 50909, 55382, 52792, 51834, 50297, 51412, 50885, 51255, 79275, 70685, 50909, 71895, 52290, 52674, 52792, 50993, 51164, 50874, 50885, 56948, 60303, 57638, 52729, 51164, 60925, 54667, 56011, 57750, 55945, 52290, 75009, 57245, 55664, 56342, 57750, 55125, 52290, 50894, 51164, 50827, 61377, 56206, 59416, 50909, 56366, 52037, 50803, 51164, 50907, 56740, 56992, 59416, 50909, 52863, 53755, 51054, 51164, 50984, 61377, 77283, 58126, 50909, 54678, 51164, 50874, 61377, 56684, 50850, 57638, 50810, 59008, 59718, 55808, 60023, 66362, 55689, 51612, 51029, 51164, 57053, 57045, 60014, 65520, 53466, 51164, 51412, 74434, 50872, 51221, 50939, 51124, 51007, 51124, 50435, 51164, 50874, 63245, 56684, 50939, 64909, 52841, 51164, 59925, 57076, 63373, 68592, 55945, 51164, 59925, 57045, 60935, 68592, 55125, 51164, 50851, 63245, 57896, 50939, 64909, 56366, 72493, 61377, 50872, 50810, 59416, 50909, 54424, 51164, 50827, 50885, 55029, 50827, 59416, 50909, 58223, 51164, 50851, 50885, 50812, 56684, 58126, 59178, 59008, 51097, 64804, 60154, 65148, 50909, 57933, 52037, 52801, 52792 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 11, 230, 538, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 8, 20535, 483, 6, 70, 8216, 7, 10, 32076, 8, 8728, 5466, 4, 590, 10, 7212, 20889, 9, 6164, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 230, 6, 274, 6, 230, 6, 8, 272, 406, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50796, 55746, 50931, 51033, 51081, 51045, 50433, 75032, 51081, 54773, 51081, 50894, 51146, 51045, 50445, 51146, 52236, 50326, 53153, 51147, 50882, 51399, 72727, 51147, 52640, 50329, 50930, 58479, 50841, 51062, 52717, 50297, 52783, 51132, 51351, 51164, 52062, 50801, 68417, 50416, 50999, 66089, 51062, 54878, 50999, 65643, 51062, 57240, 50999, 55754, 51062, 58646, 50999, 52641, 50900, 52441, 50871, 51542, 50877, 51283, 50885, 51199, 67907, 50946, 51961, 50850, 51542, 57580, 69118, 51062, 59551, 50999, 58594, 51062, 60741, 50999, 53860, 51062, 56565, 50999, 50825, 51132, 51051, 50801, 52101, 50435, 51062, 62586, 50999, 53980, 51062, 50829, 51027, 52441, 51416, 50995, 73918, 50439, 50999, 55788, 51062, 58655, 50999, 60964, 51062, 60822, 50999, 61334, 51062, 73619, 53838, 50448, 50999, 60062, 51062, 53057, 50877, 51328, 50871, 51233, 50946, 51376, 50885, 68040, 50892, 57580, 73173, 50999, 64125, 51062, 59753, 50999, 64833, 51062, 58901, 50999, 61688, 51062, 54991, 50999, 62495, 51062, 50840, 53997, 52783, 51416, 51627, 51332, 52062, 50801, 68417, 67855, 50983, 50999, 50983, 53523, 52441, 50916, 51542, 50906, 51283, 50885, 51199, 74028, 51037, 51961, 50847, 51542, 57580, 50851, 55481, 52101, 62335, 52441, 51137, 51535, 73918, 50439, 50968, 53275, 50325, 51030, 50446, 69915, 51147, 50952, 50900, 53838, 50450, 50968, 54828, 51328, 50916, 51233, 51037, 51376, 50885, 64111, 50892, 57580, 73173, 50951, 51158, 50461, 50876, 50807, 56229, 51013, 51132, 51627, 51164, 51714, 50801, 68417, 50415, 51050, 53142, 63686, 53096, 50426, 50999, 77535, 51286, 50877, 52136, 50871, 51318, 50885, 51961, 50946, 51542, 50872, 51391, 57580, 67592, 50999, 51048, 51062, 51013, 69374, 79198, 52101, 63809, 51477, 51416, 51535, 73918, 50445, 51147, 51588, 50327, 50937, 68121, 53726, 56415, 60268, 65300, 79971, 60798, 51000, 50946, 51210, 61395, 57580, 64479, 50900, 51210, 58479, 51919, 50297, 51243, 51132, 51264, 51164, 51469, 50801, 68417, 50415, 50931, 57327, 51007, 51012, 50427, 50939, 51505, 50438, 51007, 51388, 50439, 50939, 51354, 50446, 50909, 50980, 50447, 50850, 77002, 50872, 61050, 50879, 54197, 51749, 51132, 51627, 50885, 51167, 51164, 52062, 50801, 68417, 50415, 51050, 51189, 50872, 51192, 50422, 58966, 50868, 51631, 50900, 53674, 50877, 51637, 50871, 51283, 50885, 51199, 67907, 50946, 51961, 50850, 51542, 50850, 52017, 50872, 55362, 57580, 67592, 51050, 51006, 55481, 52101, 62275, 51417, 51027, 51749, 51416, 51535, 73918, 68121, 51490, 56415, 51448, 50946, 51376, 50885, 68040, 50892, 57580, 64126, 51120, 69941, 50877, 50981, 54197, 51115, 51050, 52407, 51132, 51244, 51164, 51680, 50801, 68417, 53523, 53674, 50871, 51283, 50877, 51283, 50946, 51481, 50885, 51806, 57580, 63163, 51050, 50866, 50872, 52423, 52101, 50436, 58817, 58126, 50437, 50847, 59495, 53415, 51027, 51477, 51085, 51417, 51416, 51351, 73918, 50439, 50885, 51110, 50872, 51167, 68121, 56374, 51164, 64043, 50872, 51215, 50850, 51167, 56415, 51312, 50877, 52056, 50946, 51328, 79067, 57580, 75635, 50850, 51215, 50909, 51167, 50457, 51050, 50987, 55435, 51218, 51526, 51145, 52021, 51714, 50872, 55362, 50939, 55362, 50801, 68417, 50415, 51234, 53142, 63715, 53096, 60564, 52136, 50871, 51318, 50848, 51961, 51037, 51542, 50872, 51391, 57580, 67592, 50997, 71648, 50899, 79198, 52101, 62335, 51477, 51050, 51417, 51132, 51742, 73918, 64118, 53726, 65851, 51283, 79609, 50848, 51000, 51037, 51210, 61395, 57580, 64126, 51026, 70634, 50899, 51884, 55435, 51115, 51234, 52062, 51526, 51244, 52021, 52168, 50801, 68417, 50423, 50899, 52482, 53645, 51477, 50906, 54557, 50848, 55197, 51037, 51199, 72080, 57580, 67592, 50997, 71648, 70138, 50872, 59183, 57567, 52101, 50435, 66603, 50436, 50909, 56983, 50997, 51961, 51050, 51218, 51132, 51043, 50939, 51191, 51007, 51191, 73918, 64118, 54211, 51132, 50912, 52021, 51210, 56415, 60006, 51466, 51526, 51212, 66397, 51037, 68040, 50838, 57580, 65126, 60799, 50455, 50909, 54583, 50939, 67276, 51111, 50457, 50997, 50987, 54197, 51295, 51132, 51627, 51164, 51714, 50850, 54089, 50801, 68417, 50415, 51050, 53142, 50909, 56073, 63686, 53096, 56207, 52136, 50871, 51318, 50885, 51961, 50946, 51542, 50872, 51391, 57580, 67592, 51050, 50974, 69374, 79198, 52101, 63809, 51477, 51085, 51397, 51416, 51535, 73918, 68121, 53726, 60027, 51283, 79609, 50885, 51000, 50946, 51210, 61395, 57580, 64126, 51120, 73752, 50900, 51884, 54197, 51115, 51050, 52062, 51132, 51244, 51164, 52168, 50801, 68417, 78523, 52482, 53645, 51477, 50877, 54557, 50885, 55197, 50946, 51199, 72080, 57580, 67592, 51050, 50977, 69374, 51524, 50872, 53097, 52101, 50435, 56894, 50437, 50868, 60957, 51238, 63809, 51961, 51085, 51417, 51416, 51351, 50872, 51238, 73918, 50445, 80142, 68121, 54211, 51164, 51210, 68650, 56415, 58421, 51466, 63062, 50946, 68040, 50838, 57580, 65126, 50872, 51158, 50850, 51215, 50457, 51050, 50987, 53997, 51218, 51085, 51749, 51416, 51627, 51332, 52062, 50868, 52382, 50847, 55362, 50801, 68417, 53523, 53674, 50861, 51965, 50916, 51283, 50906, 51637, 50885, 51199, 74028, 51037, 51961, 50847, 51542, 57580, 67592, 51085, 50905, 55481, 52101, 62322, 51218, 50997, 51749, 51137, 51535, 73918, 68121, 52256, 59758, 50981, 51037, 51376, 50885, 64111, 50892, 57580, 64126, 51026, 70529, 68929, 71039, 50461, 51085, 51562, 53997, 51353, 51416, 51264, 51332, 73840, 68417, 50423, 50872, 62115, 50847, 62046, 50939, 52524, 50909, 63915, 51124, 50427, 51007, 69705, 50939, 51238, 51007, 51238, 50446, 70794, 50909, 67523, 50872, 51158, 68973, 54197, 51749, 51132, 51749, 51164, 51714, 50801, 68417, 50415, 51050, 51218, 50885, 50967, 50872, 51215, 50422, 72803, 57988, 53523, 53674, 50877, 51637, 50871, 51283, 50885, 51961, 50946, 51542, 50872, 51391, 50872, 51469, 50850, 51469, 57580, 67592, 51050, 50987, 55481, 52101, 62275, 51413, 51027, 51749, 51338, 51448, 73918, 68121, 52256, 56415, 50981, 50885, 51000, 50946, 51210, 61395, 57580, 64126, 51120, 51058, 50458, 67692, 54197, 51295, 51050, 51749, 51132, 51627, 51164, 61774, 68417, 53523, 53126, 50309, 59219, 51108, 77456, 50885, 51330, 68100, 57580, 67592, 51050, 51058, 50434, 72230, 53530, 52101, 50435, 50868, 66144, 56894, 50437, 50848, 61074, 51345, 62275, 51562, 51050, 51703, 51132, 51627, 71531, 51164, 51183, 73918, 50446, 50946, 52059, 74229, 67265, 55895, 52845, 50307, 66920, 50932, 59654, 75419, 57580, 75635, 68973, 50909, 51215, 50457, 51050, 70634, 50946, 51210, 74571, 77938, 55435, 51115, 51234, 51749, 51526, 51145, 52021, 52015, 50872, 53898, 50939, 55362, 50801, 68417, 53337, 53674, 50906, 51637, 50871, 51283, 76984, 69011, 60942, 57580, 67592, 50997, 71648, 51037, 51481, 50848, 51481, 50872, 51337, 50801, 52101, 63451, 51397, 50997, 51749, 51132, 51742, 73918, 64118, 51490, 52021, 52059, 56415, 51448, 51037, 51753, 78430, 50872, 51233, 57580, 64126, 51026, 78442, 50906, 50981, 55435, 51115, 51234, 52407, 51526, 51244, 52021, 52783, 50801, 68417, 53337, 53674, 50871, 51283, 50906, 51283, 69091, 58816, 60942, 57580, 67592, 50997, 51058, 50434, 50872, 77354, 51470, 64730, 50872, 59621, 52101, 50435, 62199, 50436, 60001, 50909, 56057, 50997, 51477, 51050, 51417, 51132, 51043, 50939, 51091, 51007, 51091, 73918, 64118, 56374, 51132, 50912, 52021 ]

[ 0, 713, 14899, 3495, 2214, 6, 30291, 19, 3152, 4785, 6, 22750, 1626, 11098, 8, 12298, 9450, 6, 442, 24, 41, 5631, 2031, 13, 2365, 50, 33558, 9629, 4, 25837, 2987, 30, 10, 11739, 9, 30587, 6, 2382, 3459, 6, 8, 21979, 29589, 6, 552, 19, 21979, 9590, 8, 21072, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 2125, 16, 24028, 30, 5, 16331, 33215, 16739, 9, 230, 8, 1918, 6, 6946, 24, 10, 1472, 9, 30234, 8, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 53028, 75011, 80022, 50818, 52320, 57319, 52047, 52062, 51616, 52335, 50461, 51282, 52335, 53202, 51541, 51061, 52335, 51118, 52062, 51332, 51108, 51164, 51097, 50946, 50932, 50682, 50297, 51445, 50682, 50301, 51151, 58788, 51445, 77096, 51445, 74420, 51151, 50744, 50328, 51445, 52924, 51920, 63465, 55614, 50885, 51283, 50872, 51477, 51039, 53584, 52870, 51332, 50932, 51164, 50932, 50946, 56858, 51139, 52893, 52953, 51140, 55792, 56203, 52572, 51406, 53584, 56748, 50872, 51637, 50885, 54498, 51140, 50896, 51332, 50932, 51164, 50932, 52924, 51920, 57270, 50946, 53624, 78110, 75275, 57460, 50946, 51006, 50885, 52985, 51140, 51090, 50946, 51481, 51332, 55284, 51139, 52893, 57399, 51164, 63508, 51775, 67907, 50850, 57131, 75275, 58544, 68059, 50460, 51763, 52062, 50461, 51083, 52140, 51282, 52335, 54079, 51541, 51061, 52140, 50946, 51283, 50682, 50301, 51359, 61007, 51151, 74420, 51359, 50744, 50337, 51151, 52924, 51920, 56260, 51023, 52140, 74868, 50872, 50838, 51039, 53584, 61266, 50872, 51199, 50850, 68428, 51171, 51080, 59425, 52893, 56670, 50848, 55544, 51273, 54954, 51199, 50798, 52572, 51406, 53584, 56748, 67907, 50946, 50932, 50848, 54498, 51273, 50896, 51688, 51080, 52924, 51920, 53041, 69590, 75275, 60372, 50848, 56144, 67305, 57299, 51273, 50896, 51171, 51108, 50946, 56858, 51139, 52893, 57399, 50848, 58736, 51283, 50456, 74366, 75275, 59933, 52047, 52335, 50461, 51282, 52140, 51616, 52335, 53202, 51226, 51118, 52140, 50682, 50297, 51445, 50682, 50301, 51445, 58788, 51445, 77096, 51445, 74420, 51445, 50744, 50328, 51445, 52924, 51920, 56260, 51023, 52140, 51061, 52140, 51164, 51477, 50946, 51283, 50416, 50909, 77946, 50850, 51108, 75275, 61266, 67907, 77043, 74121, 52893, 53063, 51140, 54954, 51709, 50798, 52572, 51406, 53584, 56748, 50872, 51283, 50946, 51283, 50885, 51283, 51164, 51381, 60116, 50896, 52924, 51920, 53041, 69590, 75275, 52725, 51140, 50896, 51164, 57791, 51139, 52893, 56688, 50946, 60925, 51645, 50872, 51283, 50456, 75275, 59036, 51763, 51449, 56555, 50460, 51282, 52335, 50461, 51083, 52062, 54079, 51573, 51061, 52140, 50946, 51283, 50682, 50301, 51151, 61007, 51151, 74420, 51151, 50744, 50337, 51151, 52924, 51920, 56813, 51023, 52140, 75548, 51039, 53584, 57404, 69590, 50872, 57104, 78430, 59425, 52893, 55477, 50872, 53052, 51273, 55792, 56203, 52572, 51406, 53584, 58685, 50872, 51283, 50946, 52168, 50848, 60934, 51273, 51016, 52924, 51920, 52616, 50850, 50972, 51441, 52388, 53237, 53068, 51273, 64061, 51283, 59425, 64032, 52893, 55223, 58132, 50456, 77193, 51441, 51985, 51920, 58660, 51616, 52335, 52047, 52062, 53202, 51541, 51282, 52335, 52924, 51920, 56075, 51061, 51592, 51118, 52140, 51164, 51283, 50946, 51199, 50416, 51023, 51592, 51039, 53584, 57404, 50872, 51199, 65999, 59812, 57791, 51139, 52893, 56680, 50946, 53052, 51140, 55792, 51199, 50872, 51637, 50798, 52572, 51406, 53584, 56748, 50885, 51283, 51164, 51244, 50946, 51477, 60116, 51196, 52924, 51920, 53044, 50850, 50838, 75275, 52725, 50946, 63508, 51775, 59425, 52893, 57399, 50872, 51199, 50456, 75275, 50829, 54079, 51226, 51023, 52140, 51083, 52140, 51061, 52140, 51282, 52335, 51763, 52335, 50946, 50932, 74868, 52924, 51920, 55376, 50872, 51283, 51039, 53584, 57404, 74366, 62810, 51481, 78430, 59425, 52893, 57334, 52341, 51736, 51273, 53834, 52572, 51406, 53584, 59076, 51622, 56678, 51380, 50872, 51637, 50848, 51283, 50946, 51542, 68005, 51196, 52924, 51920, 55698, 51634, 55322, 74366, 75275, 57028, 51288, 55178, 51211, 51173, 50946, 56858, 51139, 52893, 57136, 58661, 50872, 51283, 50456, 77193, 75275, 58544, 51288, 51696, 52047, 52062, 50458, 51282, 52335, 51616, 52335, 50460, 51118, 52335, 53202, 51541, 51023, 52140, 51061, 52335, 52924, 51920, 55376, 51164, 51939, 50946, 51592, 50885, 50838, 51039, 53584, 59043, 67907, 50885, 50838, 74121, 52893, 56344, 50885, 53052, 51140, 51654, 52572, 51406, 53584, 59076, 50872, 51592, 50850, 51576, 75641, 60116, 51196, 52924, 51920, 53162, 69590, 50885, 50974, 75275, 53083, 50946, 51277, 51164, 59847, 51484, 59425, 52893, 52579, 74366, 75275, 50841, 54079, 51226, 51023, 51592, 51083, 52335, 51061, 52335, 51282, 52335, 51763, 51449, 50946, 51108, 74868, 52924, 51920, 53403, 50850, 51108, 75275, 57404, 50872, 60184, 51634, 66341, 51277, 50848, 55284, 51139, 52893, 52925, 51288, 50849, 51273, 55732, 52572, 51406, 53584, 56748, 74366, 50872, 51283, 50848, 51283, 50946, 51381, 50434, 51171, 52015, 68005, 50896, 52924, 51920, 58159, 51211, 52692, 51344, 55792, 50932, 75275, 52725, 51273, 51054, 50946, 50932, 50872, 51283, 59425, 52893, 57143, 51219, 56747, 59781, 75275, 57620, 51344, 52382, 52874, 52382, 80134, 50458, 51616, 52062, 52047, 52335, 50460, 51282, 52062, 50461, 51118, 51449, 53202, 51059, 51061, 52335, 52924, 51920, 57666, 51023, 52168, 50946, 50932, 51164, 51283, 50885, 50838, 51039, 53584, 57404, 74366, 64060, 50872, 51199, 74121, 52893, 56670, 50946, 63508, 55544, 51140, 53834, 52572, 51406, 53584, 56802, 74366, 66181, 50885, 51199, 50434, 50946, 51381, 51164, 62551, 50872, 51381, 60116, 51552, 52924, 51920, 53162, 69590, 50885, 50838, 75275, 52725, 50946, 63508, 51199, 59425, 52893, 56688, 51164, 57131, 74366, 75275, 58965, 67907, 54079, 51573, 51023, 52140, 51061, 52062, 51083, 52062, 51282, 52335, 51763, 51449, 52924, 51920, 57666, 51171, 51939, 50848, 51199, 50946, 51380, 50420, 74366, 75275, 58592, 50872, 54869, 50946, 51277, 78430, 59425, 52893, 53063, 51273, 53834, 52572, 51406, 53584, 59076, 74435, 67907, 50848, 51199, 50946, 64025, 51273, 51090, 52924, 51920, 53041, 74366, 75275, 57460, 50848, 58736, 68832, 51273, 57623, 51139, 52893, 57136, 51171, 50932, 50946, 51006, 50848, 57131, 50868, 50838, 75275, 58544, 64060, 50461, 51557, 51381, 51616, 51679, 50799, 51348, 51343, 52157, 51573, 51061, 51108, 51083, 51108, 50872, 51481, 51037, 51108, 52924, 51920, 57666, 51193, 51108, 51171, 50827, 50848, 50838, 51039, 53584, 59043, 50939, 51199, 74868, 50872, 54869, 51037, 51080, 59425, 52893, 52925, 51075, 51742, 52157, 50849, 51557, 50972, 51083, 50972, 51061, 51481, 51193, 51481, 50798, 52572, 51406, 53584, 57107, 51616, 51174, 50939, 51199, 50872, 51199, 50848, 59612, 52157, 51551, 51616, 51637, 52924, 51920, 57927, 51557, 51679, 51061, 51679, 51193, 51381, 51083, 51637, 50444, 50939, 51199, 75275, 60372, 67907, 50848, 50838, 51382, 51139, 52893, 57136, 51037, 59925, 59781, 75275, 59036, 50868, 51199, 50799, 51143, 53073, 51461, 51226, 52924, 51920, 55376, 51020, 51108, 51401, 51108, 51118, 51108, 51092, 51108, 51089, 51679, 51332, 51097, 51217, 51637, 50988, 54177, 50909, 51328, 75275, 58592, 50847, 63508, 50932, 68758, 74121, 52893, 53063, 51461, 50849, 51092, 51481, 50798, 52572, 51406, 53584, 56802, 51219, 53520, 51118, 50838, 51089, 50972, 51020, 51481, 51401, 51080, 50909, 51380, 50847, 51199, 75641, 50988, 51380, 50434, 51217, 51637, 50438, 51461, 51551, 52924, 51920, 57927, 51118, 51637, 51089, 51637, 51020, 51637, 50440, 51092, 51637, 50444, 80040, 75275, 57740, 72975, 50988, 51006, 50885, 59124, 51211, 54454, 50988, 51328, 59425, 52893, 56688, 51217, 51080, 50456, 50909, 51283, 75275, 58965, 50847, 51199, 50885, 51199, 50988, 51199, 50799, 51634, 51696, 51461, 51226, 52924 ]

[ 0, 250, 19448, 5175, 25771, 2214, 19, 10, 7212, 20889, 6, 4246, 3459, 8, 21979, 29589, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 18558, 10, 25118, 6, 2351, 10, 15352, 30054, 8, 5679, 26709, 5466, 19, 10, 11602, 9, 15073, 6, 10686, 13, 822, 2369, 36546, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 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 ]

[ 57448, 50791, 77181, 50800, 53028, 70829, 77181, 73449, 50800, 71755, 52017, 50939, 52017, 51917, 51469, 51547, 51469, 51640, 51655, 50798, 58315, 51506, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 51125, 52017, 50420, 52238, 53241, 62870, 52017, 50979, 52017, 51547, 52017, 51674, 52017, 51533, 72163, 58315, 51751, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 50939, 57487, 51125, 53241, 50423, 50939, 53241, 50426, 51298, 52266, 75158, 51496, 51396, 51551, 51602, 74903, 53066, 51017, 51496, 50992, 51496, 51547, 56346, 50944, 51090, 51298, 51090, 51547, 51496, 50432, 51396, 56810, 51037, 51551, 51037, 51551, 51526, 67777, 53103, 51017, 51496, 50992, 51496, 51547, 56160, 50944, 51090, 51257, 51090, 51547, 63962, 51037, 50911, 51526, 50879, 62870, 50882, 51042, 65326, 51496, 51910, 67774, 56624, 51042, 52017, 50420, 51017, 53241, 51547, 78443, 51042, 52266, 50935, 52266, 51910, 53150, 51840, 50961, 50944, 52266, 51640, 54729, 50935, 52282, 51125, 52282, 51840, 52282, 54696, 52282, 51547, 52282, 51857, 51896, 71755, 52017, 50939, 52017, 52812, 51036, 51917, 51036, 51547, 51036, 51640, 51655, 50798, 58315, 51506, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 51125, 52017, 50420, 52238, 53241, 50426, 63533, 51653, 50435, 68306, 51745, 62870, 52017, 50979, 52017, 52000, 51036, 51772, 51036, 51547, 51036, 51533, 72163, 58315, 51751, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 50939, 57487, 51125, 53241, 50423, 50939, 53241, 50426, 51298, 52266, 50429, 50720, 50305, 56896, 59017, 64917, 59017, 57174, 59017, 62894, 59017, 61723, 63533, 56505, 59017, 60345, 74488, 51237, 75158, 51496, 51396, 51551, 51602, 67777, 53066, 51017, 51496, 50992, 51496, 51547, 56346, 50944, 51090, 51298, 51090, 51547, 74752, 51628, 51396, 50911, 51602, 55122, 51037, 51551, 51037, 51551, 51526, 67777, 53103, 51017, 51496, 50992, 51496, 51547, 50911, 71330, 50944, 51090, 51257, 51090, 51547, 57191, 51754, 51037, 50911, 51526, 50879, 62870, 50882, 51042, 52266, 51910, 67774, 56624, 51042, 52017, 50420, 51017, 53241, 51547, 57625, 51840, 50961, 51910, 53150, 50944, 52266, 51547, 50911, 51640, 53417, 52765, 51840, 54562, 50935, 52282, 51125, 52282, 51840, 52282, 54696, 52282, 51547, 52282, 51857, 51896, 71755, 52017, 50939, 52017, 51547, 53241, 51408, 52017, 51640, 51655, 50798, 58315, 51506, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 51125, 52017, 50420, 52238, 53241, 50423, 50720, 50305, 56519, 63533, 51653, 50435, 68306, 51745, 52320, 50800, 62870, 52017, 50979, 52017, 51674, 52017, 51533, 72163, 58315, 51751, 52017, 50944, 52017, 50416, 51017, 52017, 50417, 50939, 57487, 51125, 53241, 50423, 50939, 53241, 50426, 51298, 52266, 50429, 50720, 50305, 56896, 59017, 63982, 59017, 62894, 59017, 68280, 63533, 66250, 68306, 51745, 75158, 51496, 51396, 51551, 51547, 51551, 51602, 67777, 53066, 51017, 51496, 50992, 51496, 50426, 50944, 51090, 51298, 57191, 51628, 51396, 50911, 74488, 51745, 51602, 55122, 51037, 51551, 51037, 51551, 51256, 51551, 51526, 67777, 53103, 51017, 51496, 50992, 51496, 71330, 50944, 51090, 51257, 57191, 51754, 51037, 50911, 51526, 50879, 62870, 50882, 51042, 65326, 51496, 51772, 52017, 51910, 67774, 56624, 51042, 52017, 50420, 51017, 53241, 50423, 51042, 52266, 50935, 52266, 51910, 53150, 51840, 50961, 50944, 50911, 51640, 53417, 51628, 50935, 52282, 51125, 52282, 51840, 52282, 54696, 52282, 51857, 61025, 50810, 51570, 66027, 52513, 54457, 54988, 51957, 52965, 50564, 66250, 51533, 54403, 51640, 54065, 52567, 51848, 60091, 51848, 50812, 70128, 51427, 51396, 51427, 51042, 51427, 51042, 51427, 51017, 51427, 50979, 51427, 50944, 51427, 50944, 51427, 50935, 51427, 51912, 51427, 51772, 51427, 51547, 51427, 51590, 51427, 51602, 51427, 63669, 51835, 68306, 52516, 52296, 51037, 50961, 51017, 50961, 50944, 72148, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51408, 50961, 68306, 50950, 51910, 53235, 56519, 68306, 51012, 51602, 52965, 50564, 52516, 52765, 51533, 53917, 51506, 51427, 51037, 51427, 51037, 51427, 51017, 51427, 51017, 51427, 50944, 51427, 50944, 51427, 50939, 51427, 52000, 51427, 51917, 51427, 51547, 51427, 51408, 51427, 68306, 50950, 51640, 51427, 63669, 52262, 74488, 57174, 59017, 53960, 52831, 51037, 50961, 51017, 50961, 50944, 72148, 50961, 51506, 71092, 71530, 69542, 50882, 52000, 50961, 51917, 50961, 51547, 50961, 51408, 50961, 52458, 56646, 74488, 52516, 52513, 51506, 71092, 71092, 71530, 71530, 69542, 69542, 71035, 50882, 52000, 50882, 51917, 50882, 51547, 50882, 51408, 50882, 59017, 51012, 51640, 53235, 56505, 51506, 50882, 51396, 50882, 51042, 50882, 51042, 71530, 72630, 69542, 69542, 72629, 50882, 52000, 50882, 51917, 50882, 51547, 50882, 51590, 50882, 52458, 52965, 50564, 52516, 52809, 51506, 71092, 71092, 71530, 71530, 69542, 69542, 71035, 50882, 52000, 50882, 51917, 50882, 51547, 50882, 51408, 50882, 74488, 51653, 52458, 50911, 51453, 52567, 51037, 50839, 51017, 76061, 66848, 50839, 52000, 50825, 51917, 50825, 51547, 50825, 51408, 51833, 50800, 70128, 51427, 51396, 51427, 51042, 51427, 51042, 51427, 51017, 51427, 50979, 51427, 50944, 51427, 50944, 51427, 50935, 51427, 51912, 51427, 51772, 51427, 51547, 51427, 51590, 51427, 51602, 51427, 63669, 51835, 74488, 52516, 52296, 50979, 50961, 50944, 50961, 50935, 79389, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51590, 50961, 52031, 50961, 74488, 50950, 51910, 53235, 56519, 74488, 51012, 51602, 52965, 50564, 52516, 52765, 51533, 53917, 51506, 51427, 51037, 51427, 51037, 51427, 51017, 51427, 51017, 51427, 50944, 51427, 50944, 51427, 50939, 51427, 52000, 51427, 51917, 51427, 51547, 51427, 51408, 51427, 74488, 50950, 51640, 51427, 63669, 52262, 74488, 57174, 59017, 53960, 52831, 51042, 50961, 50979, 50961, 50944, 50961, 50935, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51590, 50961, 52458, 56646, 65049, 52516, 52513, 51506, 71092, 50882, 51042, 71530, 72630, 69542, 69542, 72629, 50882, 51912, 50882, 51772, 50882, 51547, 50882, 51590, 50882, 65049, 51237, 51640, 53235, 56505, 51506, 50882, 51396, 50882, 51042, 50882, 51042, 71530, 72630, 69542, 69542, 72629, 50882, 51912, 50882, 51772, 50882, 51547, 50882, 51590, 50882, 52458, 52965, 50564, 52516, 52809, 51506, 71092, 71530, 72630, 69542, 69542, 72629, 50882, 51298, 50882, 51772, 50882, 51547, 50882, 51590, 50882, 52031, 50882, 52458, 54403, 51640, 54065, 52567, 51042, 50839, 50979, 76061, 69010, 50839, 51912, 50825, 51772, 50825, 51547, 50825, 51590, 51833, 50800, 70128, 51427, 51396, 51427, 51042, 51427, 51042, 51427, 51017, 51427, 50979, 51427, 50944, 51427, 50944, 51427, 50935, 51427, 51912, 51427, 51772, 51427, 51547, 51427, 51590, 51427, 51602, 51427, 63669, 51835, 68306, 51392, 52296, 50979, 50961, 50944, 50961, 50935, 79389, 50961, 51506, 71092, 71530, 69542, 50882, 51912, 50961, 51772, 50961, 51547, 50961, 51408, 50961, 68306, 51653, 51910, 53235, 56519, 51602, 52965, 50564, 52516, 52765, 51533, 53917, 51506, 51427, 51037, 51427, 51037, 51427, 51017, 51427, 51017, 51427, 50944, 51427, 50944, 51427, 50939, 51427, 52000, 51427, 51917, 51427, 51547, 51427, 51408, 51427, 63533, 51012, 51640, 51427, 63669 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 3152, 16882, 6, 4246, 41, 3459, 13305, 6, 38668, 11212, 6, 2342, 4467, 6, 81, 9756, 8669, 6, 8, 3459, 9590, 6, 70, 447, 561, 7, 1045, 10, 6711, 14, 18, 10, 11739, 9, 657, 6, 11098, 6, 8, 26545, 6, 19, 10, 11602, 9, 15073, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 6780, 10, 7212, 20889, 9, 8940, 13410, 228, 2289, 6, 5, 2214, 3905, 10, 204, 73, 306, 86, 6543, 8, 22848, 10, 33215, 16739, 9, 3676, 1176, 406, 6, 230, 10431, 119, 406, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50799, 51931, 51544, 50834, 51570, 53057, 51931, 52563, 55530, 59757, 56296, 51194, 50423, 50798, 55800, 56296, 51203, 50953, 51255, 51525, 52572, 59873, 56296, 51203, 50953, 51194, 51450, 55186, 56296, 51194, 50953, 51194, 56953, 55254, 51525, 52572, 57886, 50953, 51255, 56296, 51255, 50799, 56296, 51203, 50953, 58610, 58980, 50953, 51043, 56296, 58610, 55800, 51525, 52572, 54562, 71653, 52646, 53264, 50927, 51043, 52646, 63477, 58781, 60765, 51043, 51011, 58610, 55254, 51525, 52572, 54450, 60765, 51255, 51011, 75751, 50961, 57530, 50798, 59757, 51011, 51203, 60765, 51194, 50423, 50798, 55800, 51011, 51255, 60765, 51203, 51525, 52572, 59873, 51011, 51203, 60765, 51203, 51450, 55186, 51011, 51255, 60765, 51203, 56953, 50961, 51382, 50386, 52852, 53545, 60765, 51203, 51011, 51194, 53534, 51203, 60765, 58610, 58980, 51011, 51194, 60765, 58610, 55800, 51525, 52572, 54562, 50945, 50845, 52657, 54014, 51213, 51203, 52657, 58610, 58781, 51213, 50845, 52657, 61221, 50961, 51382, 50386, 52852, 52349, 50953, 51255, 56296, 70306, 50961, 57530, 50798, 59757, 56296, 51203, 50953, 51203, 50423, 50798, 55800, 50953, 51203, 56296, 51203, 51525, 52572, 59873, 56296, 51255, 50953, 51043, 51450, 55186, 50953, 51203, 56296, 51043, 56953, 55254, 51525, 52572, 57886, 56296, 51203, 50953, 51043, 50799, 56296, 51255, 50953, 75751, 58980, 50953, 51043, 56296, 63477, 55800, 51525, 52572, 54562, 52646, 50845, 50927, 53264, 52646, 51194, 50927, 58610, 58781, 51011, 51255, 60765, 70306, 50961, 51382, 50386, 52852, 52349, 51011, 51255, 60765, 70306, 50961, 51528, 59757, 51011, 51203, 60765, 51203, 50423, 50798, 55800, 60765, 51203, 51011, 73325, 50386, 52852, 53593, 51011, 51203, 60765, 51203, 51450, 55186, 60765, 51203, 51011, 51203, 56953, 50961, 51382, 50386, 52852, 53545, 51011, 51194, 60765, 51043, 57530, 51011, 51203, 60765, 58610, 58980, 60765, 51043, 51011, 58610, 55800, 51525, 52572, 54562, 50945, 50901, 52657, 60592, 51213, 51203, 52657, 51203, 52671, 70811, 58781, 52657, 50901, 51213, 50901, 51596, 53197, 55254, 51525, 52572, 54450, 56296, 51255, 50953, 51203, 52202, 60881, 50961, 51528, 59757, 56296, 51203, 50953, 51203, 50423, 50798, 55800, 56296, 51203, 50953, 56959, 50386, 52852, 52209, 52155, 58952, 50953, 51255, 56296, 51203, 51450, 55186, 56296, 51255, 50953, 51203, 56953, 50961, 51382, 50386, 52852, 53545, 56296, 51194, 50953, 51194, 52563, 51255, 56296, 70306, 58980, 50953, 51043, 56296, 63477, 55800, 51525, 52572, 54562, 52646, 50845, 50927, 53264, 50927, 51194, 52646, 51194, 52202, 70811, 58781, 51011, 51194, 60765, 51194, 51596, 53197, 55254, 51525, 52572, 54450, 51011, 51255, 60765, 51203, 52671, 78706, 50961, 51528, 59757, 51011, 51255, 60765, 51255, 50423, 50798, 55800, 51011, 51255, 60765, 56959, 50386, 52852, 53593, 51011, 51255, 60765, 51043, 51450, 55186, 51011, 51203, 60765, 51203, 56953, 55254, 51525, 52572, 57886, 51011, 51194, 60765, 51043, 57530, 51011, 51203, 60765, 70306, 58980, 60765, 51043, 51011, 63477, 55800, 51525, 52572, 54562, 52657, 61217, 54014, 51213, 51203, 52657, 51043, 52671, 70811, 58781, 52657, 50845, 51213, 50977, 51596, 53197, 55254, 51525, 52572, 54450, 56296, 51255, 50953, 51194, 52202, 63346, 50961, 51528, 59757, 56296, 51203, 50953, 51255, 50423, 50798, 55800, 50953, 50866, 56296, 56959, 50386, 52852, 52209, 50953, 50915, 52155, 54112, 56296, 51043, 51450, 55186, 50953, 51203, 56296, 51203, 56953, 55254, 51525, 52572, 57886, 50953, 51203, 56296, 51203, 52563, 51203, 56296, 58610, 58980, 50953, 51043, 56296, 63477, 55800, 51525, 52572, 54562, 71653, 52646, 61647, 52202, 53415, 50927, 51043, 52646, 51043, 52202, 70811, 58781, 51011, 51255, 60765, 51043, 51596, 70306, 55254, 51525, 52572, 54450, 60765, 51203, 51011, 51194, 52671, 70306, 50961, 57530, 50798, 59757, 51011, 51255, 60765, 51043, 50423, 50798, 55800, 51011, 51255, 60765, 51203, 51525, 52572, 59873, 60765, 51255, 51011, 51203, 51450, 55186, 60765, 51203, 51011, 51194, 56953, 55254, 51525, 52572, 57886, 51011, 51203, 60765, 51043, 50799, 60765, 51255, 51011, 70306, 58980, 60765, 51043, 51011, 58610, 55800, 51525, 52572, 54562, 50945, 50901, 52657, 50845, 52155, 56529, 51816, 51003, 52155, 53415, 52577, 51203, 53359, 51203, 52003, 51203, 51213, 51203, 52657, 51194, 51789, 75751, 58781, 52003, 51255, 51816, 51255, 54282, 51203, 53359, 51255, 52657, 50845, 51213, 50866, 52083, 53197, 55254, 51525, 52572, 54450, 52092, 55428, 53168, 53295, 51816, 55428, 52003, 53295, 56296, 51255, 50953, 51194, 51596, 60881, 50961, 51528, 59757, 56296, 51203, 50953, 51043, 50423, 50798, 55800, 56296, 51203, 50953, 68798, 50386, 52852, 52209, 52427, 52919, 52202, 58952, 50953, 51203, 56296, 51194, 51450, 55186, 56296, 51255, 50953, 51203, 56953, 55254, 51525, 52572, 57886, 56296, 51203, 50953, 51255, 57530, 56296, 51203, 50953, 63477, 58980, 50953, 51043, 56296, 58610, 55800, 51525, 52572, 54562, 71653, 52646, 50866, 52202, 54112, 52202, 53415, 52627, 51255, 52092, 51255, 52003, 51255, 51816, 51203, 52646, 51043, 50927, 51043, 51565, 70811, 58781, 52092, 51203, 52003, 51203, 51816, 51255, 54282, 51203, 60765, 51203, 51011, 51194, 52083, 70306, 50961, 51382, 50386, 52852, 52349, 53359, 52644, 53464, 52644, 51816, 53454, 52577, 52644, 60765, 51255, 51011, 51255, 51789, 70306, 50961, 51528, 59757, 51011, 51255, 60765, 51194, 50423, 50798, 55800, 51011, 51255, 60765, 51255, 51525, 52572, 59873, 60765, 51255, 78455, 51450, 55186, 51011, 51255, 60765, 51043, 56953, 50961, 51382, 50386, 52852, 53545, 51011, 51255, 60765, 51203, 50799, 60765, 51203, 51011, 58610, 58980, 60765, 51043, 51011, 58610, 50961, 51302, 50386, 52852, 52209, 52657, 61217, 50977, 52155, 54112, 51816, 50915, 52155, 54181, 52003, 51203, 58195, 51203, 53464, 51255, 51213, 51255, 52657, 51043, 52671, 75751, 58781, 52003, 51203, 58195, 51255, 52092, 51255, 51816, 51203, 51213, 50845, 52657, 50866, 51596, 53197, 50961, 51382, 50386, 52852, 52349, 52003, 53295, 52092, 53295, 52427, 53295, 53168, 55428, 50953, 51203, 56296, 51043, 52202, 60881, 50961, 57530, 50798, 59757, 50953, 51203, 56296, 51194, 50423, 50798, 55800, 50953, 50901, 56296, 73325, 50386, 52852, 52209, 51816, 52919, 50953, 51003, 52155, 54112, 56296, 51043, 51450, 55186, 56296, 51203, 50953, 51255, 56953, 55254, 51525, 52572, 57886, 56296, 51203, 50953, 51255, 52563, 51255, 56296, 70306, 58980, 50953, 51194, 56296, 58610, 55800, 51525, 52572, 54562, 69694, 52646, 50977, 52155, 54112, 52155, 53415, 52092, 51203, 53795, 51203, 52003, 51203, 51816, 51203, 52646, 51043, 50927, 51043, 52202, 55732, 60032, 52427, 51203, 50447, 51816, 51255, 53795, 51203, 52092, 51255, 52003, 51255, 78455, 60765, 51043, 51596, 70306, 73128, 52427, 72326, 51525, 52572, 54450, 51816, 52644, 53359, 53454, 53464, 52644, 52126, 53454, 60765, 51255, 51011, 51194, 52671, 78706, 50961, 51528, 59757, 60765, 51203, 51011, 51203, 50423, 50798, 55800, 60765, 51203, 51011, 64810, 50386, 52852, 53593, 51011, 51255, 60765, 51043, 51450, 55186, 60765, 51255, 51011, 51255, 56953, 50961, 51382, 50386, 52852, 53545, 51011, 51255, 60765, 51043, 50799, 60765, 51203, 51011, 70306, 58980, 60765, 51194, 51011, 51194, 50430, 78853, 54854, 50945, 50977, 52657, 50866, 50753, 50341, 57004 ]

[ 0, 713, 14899, 5175, 1349, 6, 30291, 19, 3152, 4785, 6, 22750, 1626, 8593, 26358, 8, 10563, 4, 25837, 2987, 30, 10, 20902, 20889, 9, 23272, 163, 5683, 11, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 22848, 5, 11577, 3222, 5785, 9, 3741, 27374, 594, 6, 1076, 560, 31365, 25999, 6, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 33215, 16739, 9, 163, 428, 6, 12608, 6, 230, 119, 6, 8, 2060, 3639, 7, 63, 33928, 8, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 55746, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 51346, 50438, 52200, 51346, 52360, 51346, 54223, 51346, 58374, 74190, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 51346, 71025, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52200, 50938, 51715, 50994, 53049, 52200, 57370, 50844, 55786, 53974, 52185, 50938, 54223, 56022, 53614, 51643, 51346, 53232, 51346, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 57370, 50844, 55786, 54418, 52200, 56022, 50844, 50799, 52200, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52185, 50938, 51715, 50994, 53049, 51643, 51346, 53232, 73504, 50844, 55786, 53974, 54223, 56022, 53614, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 60075, 52938, 54811, 52200, 60075, 53156, 54004, 52200, 50938, 60690, 73504, 50844, 55786, 54418, 51993, 56022, 50844, 71756, 51538, 54941, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 53232, 51446, 59775, 51446, 50804, 50844, 55786, 53974, 53046, 56022, 53614, 53046, 67251, 52938, 50859, 52129, 53156, 54004, 51643, 50938, 53232, 50938, 52286, 50938, 59775, 57370, 50844, 55786, 54418, 51643, 50938, 53232, 50938, 54223, 50938, 59775, 56022, 50844, 50799, 52226, 50938, 53232, 50938, 55655, 50938, 59775, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52226, 50938, 53232, 50938, 55655, 50938, 59775, 50938, 51715, 50994, 53049, 52226, 50938, 53232, 50938, 55655, 50938, 59775, 57370, 50844, 55786, 53974, 52200, 50938, 52661, 50938, 54223, 50938, 58374, 56022, 50844, 51450, 52938, 54811, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 67251, 53156, 50844, 51382, 50844, 55786, 54418, 52135, 56022, 50844, 71756, 50938, 53232, 50938, 60690, 51346, 62027, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52135, 50938, 51715, 50994, 53049, 51643, 57370, 50844, 55786, 53974, 52135, 50938, 54223, 56022, 53614, 51643, 50938, 53232, 50938, 54223, 51346, 62027, 60075, 52938, 54811, 51721, 60075, 53156, 54004, 52185, 57370, 50844, 55786, 54418, 52770, 56022, 50844, 50799, 51831, 50938, 52230, 50938, 54244, 51346, 62031, 52574, 50994, 50859, 53214, 54351, 51652, 51204, 53252, 51204, 60765, 51204, 51715, 50994, 50833, 51302, 50844, 55786, 53974, 54223, 56022, 53614, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 54223, 73504, 50844, 55786, 54418, 52770, 50938, 53252, 50938, 62027, 56022, 50844, 50799, 52185, 51346, 53252, 51346, 60690, 51346, 54540, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 52185, 51346, 53252, 51346, 54540, 73504, 50844, 55786, 53974, 54223, 56022, 53614, 51643, 50938, 53232, 50938, 54223, 67251, 52938, 54811, 51643, 50938, 53232, 60075, 53156, 54004, 51993, 50938, 52360, 50938, 50684, 50312, 57370, 50844, 55786, 54418, 52200, 50938, 54267, 50938, 58374, 56022, 50844, 50799, 52200, 51264, 54267, 51264, 54244, 51346, 58374, 61113, 50833, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 50833, 51302, 50844, 55786, 53974, 54223, 56022, 53614, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 54223, 73504, 50844, 55786, 50859, 51453, 50844, 71756, 50938, 53232, 50938, 60690, 51346, 62027, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52135, 50938, 51715, 50994, 53049, 51643, 57370, 50844, 55786, 53974, 52135, 50938, 54223, 56022, 53614, 51643, 51346, 53232, 51346, 54223, 51346, 62027, 67251, 52938, 50859, 52129, 53156, 54004, 51643, 51346, 53232, 51346, 62027, 73504, 50844, 55786, 50859, 51453, 50844, 50799, 52226, 51204, 52345, 51204, 53737, 51346, 59089, 51204, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 50833, 51302, 50844, 55786, 53974, 51667, 50938, 52760, 50938, 52733, 50938, 60765, 56022, 53614, 51667, 51346, 52760, 51346, 52733, 51346, 60765, 67251, 52938, 50859, 52129, 53156, 54004, 53737, 73504, 50844, 55786, 54418, 51667, 56022, 50844, 75799, 51346, 53469, 51346, 52468, 51346, 55131, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 51667, 50938, 53469, 50938, 55131, 57370, 50844, 55786, 53974, 51667, 50938, 53469, 50938, 51664, 50938, 55131, 56022, 53614, 51667, 50938, 53469, 50938, 51664, 51346, 55131, 60075, 52938, 54811, 51667, 51346, 53469, 51346, 55131, 67251, 53156, 54004, 52468, 57370, 50844, 55786, 54418, 51721, 50938, 52118, 50938, 54223, 50938, 60765, 56022, 50844, 72135, 51346, 52118, 51346, 52468, 51346, 60765, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 73504, 50844, 55786, 50859, 51361, 53614, 52200, 51346, 52360, 51346, 54223, 51346, 58374, 67251, 52938, 50859, 52129, 53156, 54004, 52200, 51346, 52661, 51346, 54223, 51346, 58374, 73504, 50844, 55786, 50859, 51453, 50844, 71025, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52200, 50938, 51715, 50994, 53049, 52200, 57370, 50844, 55786, 53974, 52185, 50938, 54223, 56022, 53614, 51643, 51346, 53232, 51346, 54223, 67251, 52938, 50859, 52129, 53156, 54004, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 57370, 50844, 55786, 54418, 52200, 56022, 50844, 50799, 52200, 50938, 52360, 50938, 60690, 51346, 50684, 50312, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52185, 50938, 51715, 50994, 53049, 51643, 51346, 53232, 73504, 50844, 55786, 53974, 54223, 56022, 53614, 51993, 50938, 52360, 50938, 54223, 51346, 50684, 50312, 60075, 52938, 54811, 52200, 60075, 53156, 54004, 52200, 50938, 60690, 73504, 50844, 55786, 54418, 51993, 56022, 50844, 71756, 51446, 54941, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 53232, 51538, 59775, 51538, 50804, 50844, 55786, 53974, 53046, 56022, 53614, 51643, 50938, 53046, 67251, 52938, 54811, 51721, 60075, 53156, 54004, 51643, 50938, 53046, 73504, 50844, 55786, 54418, 51721, 56022, 50844, 50799, 52185, 51446, 52230, 51446, 54941, 51346, 54540, 51446, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 50833, 51302, 50844, 55786, 53974, 53046, 56022, 53614, 53046, 67251, 52938, 50859, 52129, 53156, 54004, 51643, 51346, 53232, 51346, 52286, 50938, 59775, 73504, 50844, 55786, 54418, 54223, 56022, 50844, 50799, 52226, 50938, 53232, 50938, 55655, 51346, 59775, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52226, 50938, 53232, 50938, 59775, 50938, 51715, 50994, 53049, 52226, 51346, 53232, 51346, 59775, 73504, 50844, 55786, 53974, 55655, 56022, 53614, 52200, 51446, 52661, 51346, 54223, 51346, 58374, 67251, 52938, 50859, 52129, 53156, 54004, 52661, 50938, 54244, 51346, 58374, 57370, 50844, 55786, 54418, 52661, 50938, 58374, 56022, 50844, 50799, 52200, 51538, 52661, 50938, 54223, 51346, 58374, 60075, 50833, 52574, 50994, 50859, 53214, 54351, 52661, 50938, 58374, 50938, 51715, 50994, 50833, 51302, 50844, 55786, 53974, 52661, 50938, 54244, 50938, 58374, 56022, 53614, 52661, 51346, 54223, 51346, 58374, 67251, 52938, 50859, 52129, 53156, 54004, 52200, 50938, 54223, 73504, 50844, 55786, 54418, 52185, 56022, 50844, 50799, 52185, 51264, 60690, 51346, 62031, 52574, 50994, 50859, 53214, 50844, 51039, 55355, 53049, 53252, 51538, 54540, 51538, 50804, 50844, 55786, 53974 ]

[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 11, 230, 538, 6, 4246, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 6, 272, 6, 1918, 6, 8, 274, 31473, 10, 2950, 8, 32625, 13569, 9862, 7, 42, 765, 2125, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 50, 25, 10, 11379, 13, 3423, 9, 657, 8, 36474, 13005, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 60496, 53624, 50877, 52985, 50877, 53581, 50906, 50838, 54852, 51627, 50876, 51627, 51050, 53588, 50900, 53588, 50871, 53588, 60496, 53624, 50906, 52985, 77116, 55331, 58794, 51592, 51027, 53588, 50900, 53588, 50916, 53588, 56546, 51627, 60027, 53581, 50876, 50838, 54578, 51199, 77116, 50902, 51199, 50997, 53588, 50899, 53588, 56546, 53052, 50902, 51283, 56415, 53581, 50877, 51680, 54197, 53588, 50900, 53588, 50444, 50931, 52985, 50902, 53581, 50876, 50838, 54852, 51627, 50902, 51627, 50997, 53588, 50899, 53588, 50871, 53588, 66836, 51199, 60027, 53581, 50861, 50932, 56310, 53588, 50900, 53588, 50871, 53588, 57340, 73196, 50931, 52985, 50902, 53581, 50876, 50838, 55331, 51283, 50997, 53588, 50899, 53588, 50871, 53588, 63975, 52718, 50902, 53624, 50876, 52985, 50877, 53581, 50876, 51680, 53975, 52598, 50871, 52598, 50861, 52598, 50438, 50999, 58753, 52598, 50916, 52598, 50861, 52598, 50444, 50999, 52985, 50999, 53581, 51081, 50838, 54197, 52216, 50328, 51627, 53502, 51074, 53645, 57524, 50877, 55659, 50999, 55512, 52598, 50444, 51081, 52985, 50999, 51199, 57551, 52216, 50330, 50838, 53502, 52216, 50328, 51680, 56248, 57524, 50861, 55659, 50876, 52598, 50450, 50999, 53581, 51062, 50838, 54868, 52216, 50330, 51199, 56945, 51074, 53337, 52216, 50328, 53052, 50871, 52216, 50330, 54498, 50877, 52598, 50444, 50931, 52985, 50951, 53581, 50999, 51680, 53997, 51074, 56945, 51074, 53523, 57524, 50916, 55659, 50877, 52598, 50444, 51339, 52985, 51146, 53581, 51062, 50838, 55435, 52216, 50330, 51283, 54569, 51074, 53645, 57524, 51146, 57292, 52056, 50438, 51146, 51199, 55989, 51074, 56415, 77882, 53581, 50906, 74337, 50932, 56310, 51074, 53502, 77882, 51283, 53645, 57524, 50877, 52056, 55513, 52216, 50333, 52985, 50871, 52216, 50330, 53581, 50877, 52216, 50328, 50838, 54955, 52216, 50330, 51199, 54569, 51074, 53645, 52216, 50330, 51199, 63931, 52056, 50438, 51146, 51199, 55989, 51074, 56415, 52216, 50333, 53581, 50906, 52216, 50335, 51680, 53975, 51074, 55961, 51074, 54439, 57524, 50906, 55659, 50876, 52598, 50444, 50931, 52985, 50902, 53581, 50876, 50838, 54197, 65351, 55512, 77424, 53502, 74056, 52688, 50871, 74337, 53052, 50861, 74056, 52718, 50877, 77882, 51199, 58365, 51074, 56415, 65351, 53581, 50900, 64900, 51680, 56310, 51074, 53502, 55752, 50916, 57524, 50861, 55659, 50877, 51074, 58365, 64900, 52985, 50916, 70358, 53581, 50900, 74056, 50838, 54868, 65351, 57777, 57945, 54177, 51027, 74056, 52688, 50899, 74337, 53052, 50871, 74056, 52718, 50877, 74337, 53624, 50871, 77882, 51199, 56279, 59435, 51027, 70358, 51680, 53997, 51074, 56945, 51074, 53523, 57524, 50871, 55659, 50877, 51074, 57428, 77882, 52985, 50900, 77882, 53581, 51027, 70358, 50838, 54662, 77882, 54177, 51050, 74337, 52688, 50997, 74337, 53052, 50899, 74056, 52718, 50871, 74056, 53624, 50899, 70358, 51199, 64057, 52056, 50456, 50999, 50932, 56310, 51074, 53502, 74337, 52688, 50871, 74056, 53052, 50902, 56943, 52056, 55513, 77882, 52985, 50871, 74337, 53581, 50877, 74056, 50838, 54955, 77882, 54177, 50899, 74337, 52688, 50871, 74056, 53052, 50861, 74337, 52718, 51086, 77882, 53624, 50871, 74337, 52985, 50861, 74056, 53581, 50902, 57945, 50838, 53975, 52216, 50330, 51199, 55961, 51074, 54439, 77882, 53052, 50906, 52216, 50328, 54498, 50900, 59837, 50916, 52216, 50328, 52985, 50861, 52216, 50328, 53581, 50876, 64900, 50838, 54197, 74337, 50838, 53502, 74056, 52688, 50871, 74337, 53052, 50861, 74056, 52718, 50877, 77882, 51199, 58365, 51074, 56415, 65351, 53581, 50900, 64900, 51680, 56310, 51074, 53502, 55752, 50916, 57524, 50861, 55659, 50877, 52598, 75795, 52985, 50902, 53581, 50931, 50838, 54868, 74337, 54177, 51027, 74056, 52688, 50899, 74337, 53052, 50871, 74056, 52718, 50877, 74337, 53624, 50871, 77882, 51199, 56279, 59435, 51027, 70358, 51680, 53997, 51074, 56945, 51074, 53523, 57524, 50871, 55659, 50877, 51074, 57428, 77882, 52985, 50900, 77882, 53581, 51027, 70358, 50838, 54662, 77882, 54177, 51050, 74337, 52688, 50997, 74337, 53052, 50899, 74056, 52718, 50871, 74056, 53624, 50899, 70358, 51199, 64057, 59435, 51050, 52216, 62624, 55547, 51074, 60284, 74337, 52688, 51027, 74056, 53052, 50900, 70358, 52718, 50871, 51074, 55513, 77882, 52985, 51027, 74337, 53581, 51050, 74056, 50838, 54795, 77882, 54177, 51120, 74337, 52688, 51026, 74056, 53052, 50997, 74337, 52718, 50999, 58754, 52598, 50444, 50951, 52985, 50931, 53581, 50951, 50838, 58479, 58753, 52598, 50871, 52598, 50861, 52598, 50906, 52598, 50420, 51062, 64025, 50999, 51283, 50900, 52598, 50916, 52598, 50861, 52598, 50906, 52598, 50456, 50902, 50838, 58106, 50931, 51627, 51050, 53588, 50900, 53588, 50871, 53588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 6, 20425, 37903, 9, 5175, 930, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 12608, 3694, 19, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51197, 56908, 51197, 53244, 50906, 59067, 50973, 58647, 50877, 50967, 55881, 56908, 51197, 53244, 50906, 56080, 50973, 53402, 50965, 58647, 50916, 50967, 55881, 56908, 51197, 53244, 50973, 59067, 50956, 58647, 72481, 55881, 56908, 51197, 53244, 51001, 56080, 50973, 69127, 51197, 53484, 50965, 56388, 66432, 55881, 56908, 51197, 53244, 50906, 59067, 50973, 58647, 50877, 50967, 55881, 56908, 51197, 53244, 50906, 56080, 50973, 53402, 50965, 57225, 59836, 50454, 66432, 55881, 56908, 51197, 53244, 50973, 59067, 50956, 58647, 50906, 64603, 59836, 55881, 52115, 50956, 52296, 51197, 51620, 50956, 56080, 50989, 53402, 50906, 69127, 50956, 53484, 80053, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2635, 6, 3722, 15855, 2125, 4246, 10, 6755, 12547, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 9066, 2821, 16235, 4, 8504, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3905, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 8, 2060, 6, 442, 24, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 72191, 51426, 51054, 51165, 51054, 51154, 55198, 50426, 51794, 51054, 51088, 61287, 51299, 52208, 51375, 52208, 50796, 50799, 51638, 51054, 51165, 51054, 51154, 51527, 50426, 51794, 51054, 51088, 61287, 51299, 51054, 51426, 51054, 51375, 61860, 51638, 51054, 51154, 51054, 51395, 51054, 70526, 51054, 52316, 51527, 51426, 55198, 50426, 51375, 61287, 51699, 52208, 51165, 52208, 50796, 68051, 51054, 51165, 51054, 51154, 55198, 50426, 51426, 51054, 51088, 61287, 51794, 52208, 51375, 52208, 50796, 68051, 51054, 51165, 51054, 51154, 52369, 50426, 51426, 51054, 51088, 61287, 51794, 51054, 51375, 61860, 52065, 51054, 51491, 51054, 51395, 51054, 50799, 51375, 51054, 51883, 55198, 51301, 55198, 50426, 51357, 61287, 51488, 52208, 50796, 66325, 51054, 51201, 51054, 51088, 52369, 50426, 51165, 51054, 51107, 61287, 51093, 51054, 51375, 51527, 50450, 51154, 51054, 51182, 51054, 50799, 51375, 51054, 51165, 51054, 51426, 51527, 50426, 51088, 51054, 51093, 61287, 51794, 52208, 51375, 52208, 51488, 52208, 50796, 66325, 51054, 51201, 51054, 51088, 52369, 50426, 51165, 51054, 51107, 61287, 51093, 51054, 51375, 53501, 50450, 51154, 51054, 51182, 51054, 66140, 51054, 51426, 55198, 50426, 51600, 56073, 50796, 72191, 51426, 51054, 51165, 51054, 51154, 55198, 50426, 51794, 51054, 51088, 51054, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 3836, 1349, 4246, 38668, 20535, 6, 38668, 483, 6, 21072, 6, 23338, 33518, 1264, 6, 8, 38668, 22052, 4, 590, 10, 1769, 20889, 9, 24404, 163, 5683, 8, 278, 11, 5, 762, 9, 12608, 538, 6, 42, 15352, 30054, 2125, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 12608, 6, 163, 428, 6, 2060, 6, 8, 163, 428, 4, 20, 2214, 18, 14899, 2574, 8, 11299, 4785, 1045, 10, 3366, 219, 6, 980, 219, 5466, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50444, 53037, 75756, 52280, 57092, 51756, 50932, 50799, 52606, 52337, 52398, 51445, 51716, 78160, 52280, 51627, 50799, 51678, 51445, 52072, 51445, 50444, 53037, 52985, 52280, 57092, 51756, 50932, 50799, 53496, 52222, 51821, 51445, 52398, 78160, 52280, 59386, 52280, 66255, 53037, 58946, 53037, 71892, 52280, 55437, 51756, 70347, 51756, 51199, 50799, 52606, 51445, 51678, 51445, 52072, 78160, 52280, 51576, 50432, 53037, 51797, 50444, 53348, 50864, 53037, 51174, 62699, 57012, 53348, 51008, 62699, 55620, 54824, 50978, 52280, 51376, 71630, 59132, 53348, 51008, 51756, 50932, 62699, 50897, 50799, 63564, 51008, 52606, 52337, 52398, 52222, 51716, 51445, 64769, 60724, 58569, 50874, 52280, 51108, 70924, 52710, 54824, 50874, 53037, 50827, 71630, 52749, 53348, 51008, 53037, 51142, 62699, 56057, 53037, 68982, 53348, 50825, 52387, 50933, 62699, 54926, 53348, 50874, 62699, 52848, 54824, 51008, 52387, 51142, 71630, 57313, 53348, 50933, 52861, 51051, 62699, 50897, 50799, 54115, 51058, 52861, 51051, 51678, 52151, 52072, 51445, 53034, 52337, 57822, 61555, 53348, 50933, 55458, 51051, 62699, 55640, 55458, 67673, 53348, 51008, 55458, 51174, 62699, 58937, 53348, 51008, 62699, 68788, 53348, 50886, 62699, 53886, 54824, 51008, 52527, 50933, 71630, 57313, 53348, 50933, 52527, 51006, 62699, 50897, 50799, 58569, 50874, 53496, 51445, 51821, 52222, 52398, 51445, 70924, 59249, 52840, 54177, 54195, 50874, 56126, 54080, 52840, 60316, 54824, 50874, 71630, 64123, 52840, 66255, 53348, 50874, 62699, 57577, 51756, 53624, 53348, 50825, 62699, 54926, 53348, 51058, 62699, 50938, 50448, 51756, 56989, 54824, 51008, 71630, 57313, 53348, 50874, 52527, 50838, 62699, 50812, 50799, 54115, 50874, 52606, 51445, 51678, 51445, 52072, 51445, 57822, 50812, 50416, 51756, 51642, 50420, 53348, 50874, 62699, 52710, 52280, 52460, 50432, 53348, 51008, 62699, 50897, 50770, 50312, 51675, 50433, 51756, 51642, 50443, 52280, 55437, 53037, 50972, 50799, 64011, 65061, 53761, 51030, 55189, 51030, 58342, 63446, 64011, 65342, 53761, 51033, 55189, 51030, 58342, 51030, 50435, 64011, 57174, 53761, 51030, 55189, 51030, 54843, 56646, 64011, 64046, 53761, 50911, 55189, 51030, 54843, 51030, 50453, 64011, 57701, 53761, 51030, 55189, 51030, 60791, 51033, 50799, 61836, 65061, 52685, 50911, 53761, 50911, 55189, 56346, 61836, 65342, 52685, 51030, 53761, 51030, 55189, 51030, 50435, 61836, 60364, 52685, 51030, 53761, 50911, 52730, 62619, 61836, 64046, 52685, 51030, 53761, 51030, 52730, 51030, 50453, 61836, 57701, 52685, 51030, 53761, 51030, 54326, 51033, 50799, 64552, 72933, 54072, 50911, 53859, 50911, 54290, 56346, 64552, 62753, 54072, 51030, 53859, 51030, 54290, 51030, 50435, 64552, 60364, 54072, 51030, 53859, 50911, 52544, 62619, 64552, 64046, 54072, 51030, 53859, 50911, 52544, 70087, 64552, 57701, 54072, 51030, 53859, 51030, 55189, 51030, 50799, 61836, 75832, 52685, 50911, 53761, 50911, 55189, 56346, 61836, 62753, 52685, 51030, 53761, 50911, 55189, 51030, 50435, 61836, 60364, 52685, 51030, 53761, 51030, 52730, 51030, 50442, 50770, 50317, 79887, 53037, 50838, 61836, 64046, 52685, 51030, 53761, 50911, 52730, 63233, 52280, 62892, 61836, 57251, 53761, 51030, 52730, 51030, 54326, 51030, 50457, 51756, 51484, 50799, 64011, 65061, 53761, 51030, 55189, 51030, 58342, 51030, 50421, 52280, 60184, 64011, 65342, 53761, 51033, 55189, 51030, 58342, 51030, 50435, 64011, 57174, 53761, 51030, 55189, 51030, 54843, 56646, 53037, 50972, 64011, 64046, 53761, 50911, 55189, 51030, 54843, 63233, 52280, 62892, 64011, 57701, 53761, 51030, 55189, 51030, 60791, 51033, 50457, 51756, 52056, 50799, 61836, 65061, 52280, 50932, 52685, 50911, 53761, 50911, 55189, 56346, 61836, 65342, 52685, 51030, 53761, 51030, 55189, 51030, 50435, 61836, 60364, 52685, 51030, 53761, 50911, 52730, 62619, 61836, 51010, 50445, 51850, 57060, 52685, 51030, 53761, 51030, 52730, 51030, 50451, 51756, 52063, 50453, 61836, 57701, 52685, 51030, 53761, 51030, 54326, 72870, 52527, 51199, 50799, 64552, 72933, 54072, 50911, 53859, 50911, 54290, 50911, 50421, 51850, 51423, 50426, 64552, 62753, 54072, 51030, 53859, 51030, 54290, 51030, 50435, 64552, 60364, 54072, 51030, 53859, 50911, 52544, 62619, 51850, 50838, 64552, 64046, 54072, 51030, 53859, 50911, 52544, 75477, 51756, 77765, 64552, 57701, 54072, 51030, 53859, 51030, 55189, 51030, 50457, 52527, 50932, 50799, 61836, 51045, 50801, 52432, 51850, 51884, 52685, 50911, 53761, 50911, 55189, 57438, 53899, 50816, 52872, 61836, 57591, 54974, 52685, 51030, 53761, 50911, 55189, 65678, 53196, 50816, 54483, 61836, 57591, 52896, 52685, 51030, 53761, 51030, 52730, 65678, 50863, 53525, 53027, 61836, 57591, 54284, 52685, 51030, 53761, 50911, 52730, 65678, 50837, 51899, 55423, 61836, 56429, 53017, 53761, 51030, 52730, 51030, 54326, 65678, 50834, 53206, 50834, 55609, 50808, 53112, 51243, 64011, 65426, 52432, 51602, 50864, 53761, 51030, 55189, 51030, 58342, 51030, 63255, 51602, 50836, 56457, 51602, 50854, 64011, 55572, 54013, 53761, 51033, 55189, 51030, 58342, 60022, 51602, 50862, 72387, 51602, 50855, 64011, 50950, 51931, 56618, 50812, 53761, 51030, 55189, 51030, 54843, 56795, 52210, 51602, 50813, 64011, 51010, 67534, 51602, 50836, 53761, 50911, 55189, 51030, 54843, 51030, 59207, 51602, 53841, 53545, 64011, 57701, 51602, 50836, 53761, 51030, 55189, 51030, 60791, 51033, 74268, 51602, 50855, 51931, 54293, 50800, 53292, 51243, 61836, 65426, 52432, 51533, 50840, 52685, 50911, 53761, 50911, 55189, 50911, 69971, 51533, 50836, 56457, 51533, 50800, 61836, 55572, 54013, 52685, 51030, 53761, 51030, 55189, 60022, 51533, 50836, 68329, 51533, 50887, 61836, 51010, 51931, 55545, 50859, 52685, 51030, 53761, 50911, 52730, 60636, 52210, 51533, 50836, 61836, 51010, 67534, 51533, 50840, 52685, 51030, 53761, 51030, 52730, 51030, 59207, 51533, 53530, 53545, 61836, 57701, 51533, 50836, 52685, 51030, 53761, 51030, 54326, 51033, 74268, 51533, 50836, 51931, 57157, 50809, 54427, 51243, 64552, 68391, 52432, 51957, 50841, 54072, 50911, 53859, 50911, 54290, 50911, 69971, 51957, 50855, 60454, 51957, 50859, 64552, 57888, 54013, 54072, 51030, 53859, 51030, 54290, 60022, 51957, 50840, 68329, 51957, 50809, 64552, 51010, 51931, 58105, 50808, 54072, 51030, 53859, 50911, 52544, 60636, 52210, 51957, 50836, 64552, 51010, 67846, 51957, 50809, 54072, 51030, 53859, 50911, 52544, 50911, 56890, 51957, 52218, 53545, 64552, 57701, 51957, 50836, 54072, 51030, 53859, 51030, 55189, 51030, 72446, 51957, 51421, 50834, 54293, 50855, 53292, 51243, 61836, 51045, 52164, 53735, 52432, 51533, 50813, 52685, 50911, 53761, 50911, 55189, 50911, 52164, 51833, 54104, 51533, 51582, 52928, 51533, 50833, 61836, 50388, 55421, 53617, 54013, 52685, 51030, 53761, 50911, 55189, 51030, 52164, 52767, 51533, 50855, 75596, 51533, 50840, 61836, 50388, 55421, 51833, 50834, 55545, 50812, 52685, 51030, 53761, 51030, 52730, 51030, 52164, 53617, 52210, 51533, 50855, 61836, 50388, 55421, 51916, 57028, 53037, 70591, 51533, 50836, 52685, 51030, 53761, 50911, 52730, 51030, 52164, 51916, 53057, 51533, 52476, 50558, 55170, 56086, 52280, 77765, 61836, 54262, 50558, 53217, 51533, 50840, 53761, 51030, 52730, 51030, 54326, 51030, 52164, 52771, 57534, 51756, 51199, 50459, 51533, 72089, 51833, 50820, 55609, 50808, 53112, 51243, 64011 ]

[ 0, 4688, 20425, 5175, 2214, 19, 10, 980, 219, 8, 3366, 219, 16464, 6, 4246, 38668, 3038, 6, 21979, 8, 38668, 9590, 6, 8016, 6496, 6, 8, 5951, 14744, 4, 85, 18, 278, 11, 274, 3694, 6, 34, 10, 1769, 20889, 9, 8325, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 230, 119, 406, 8, 272, 119, 406, 16, 6636, 5705, 1328, 5, 1349, 6, 2351, 10, 15352, 30054, 8, 11299, 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 ]

[ 56236, 51930, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 54935, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 54935, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 54935, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 54935, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 54935, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 55552, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 54381, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 54496, 50772, 50353, 52952, 51930, 50806, 52490, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51793, 50806, 66100, 50772, 50353, 55059, 50772, 50353, 52768, 53033, 50806, 52556, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51793, 50806, 66100, 50772, 50353, 54871, 50772, 50353, 50811, 54204, 50806, 52999, 50806, 50772, 50353, 55804, 50772, 50353, 53213, 51150, 50806, 52401, 50806, 50772, 50353, 54381, 50772, 50353, 52968, 51150, 50806, 52401, 50806, 50772, 50353, 50811, 50764, 50321, 56865, 50772, 50353, 52726, 51150, 50806, 52401, 50806, 50772, 50353, 54496, 50772, 50353, 52952, 51261, 50806, 52999, 50806, 50772, 50353, 55092, 50772, 50353, 52940, 51150, 50806, 52401, 50806, 50772, 50353, 55059, 50772, 50353, 52768, 51930, 50806, 52490, 50806, 50772, 50353, 50811, 50764, 50321, 56269, 50772, 50353, 52884, 51150, 50806, 52401, 50806, 50772, 50353, 54871, 50772, 50353, 50811, 60653, 50806, 52490, 50806, 50772, 50353, 50811, 50754, 50324, 58160, 50772, 50353, 53213, 51793, 50806, 66100, 50772, 50353, 50811, 60609, 55155, 50772, 50353, 52968, 51793, 50806, 66100, 50772, 50353, 50811, 50764, 50321, 50836, 59776, 56865, 50772, 50353, 52726, 51793, 50806, 66100, 50772, 50353, 50811, 75314, 55310, 50772, 50353, 50811, 60609, 78583 ]

[ 0, 250, 765, 6, 15352, 30054, 3495, 2214, 11, 230, 3694, 6, 4246, 10, 13305, 4, 85, 34, 10, 2933, 8, 20425, 6711, 6, 10686, 13, 822, 4, 20, 748, 1879, 4450, 20889, 8, 204, 73, 306, 86, 6543, 489, 5, 2125, 1375, 556, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50420, 51085, 59920, 57593, 52038, 51085, 59920, 57593, 52030, 51085, 59920, 57593, 52125, 51503, 51009, 51176, 51009, 50965, 51009, 52591, 51234, 71863, 58503, 52038, 51234, 71863, 58503, 52030, 51234, 71863, 58503, 52125, 51214, 51184, 51026, 51184, 50861, 51184, 50796, 75795, 52596, 50876, 52961, 50876, 50805, 54578, 52024, 50965, 52024, 50420, 51028, 52483, 51028, 52605, 51028, 52446, 50876, 51264, 50444, 51147, 52596, 51147, 52961, 51147, 50805, 56229, 51623, 75795, 52596, 50876, 52961, 50876, 50805, 55524, 52024, 50861, 52024, 50420, 51028, 52483, 51028, 52605, 51028, 52446, 50876, 53090, 50444, 51081, 52596, 51081, 52961, 51081, 50805, 56807, 51623, 50444, 51062, 52596, 51062, 52961, 51081, 50805, 54578, 51077, 51147, 51623, 69980, 52483, 50965, 52605, 50906, 52446, 50951, 60424, 51077, 50876, 63883, 51062, 52596, 51062, 52961, 51081, 50805, 54578, 51077, 51147, 51623, 69980, 52483, 50965, 52605, 50906, 52446, 50951, 60424, 51077, 50876, 63883, 51062, 52596, 51062, 52961, 51081, 50805, 54578, 53177, 50312, 53177, 50316, 53177, 50324, 63418, 51040, 53177, 50309, 53177, 50315, 53177, 50321, 51090, 53975, 78828, 53177, 50316, 53177, 50320, 53177, 50328, 51551, 50444, 51028, 52596, 51028, 52961, 51028, 50805, 55694, 53090, 55902, 52483, 50861, 52605, 50861, 52446, 50916, 51264, 71289, 52596, 51040, 52961, 51040, 50805, 53975, 51623, 50420, 51085, 52483, 51085, 52605, 51085, 52446, 51050, 57449, 60037, 52815, 51028, 52596, 51028, 52961, 51028, 50805, 55694, 53090, 55902, 52483, 50861, 52605, 50861, 52446, 50916, 51264, 71289, 52596, 51040, 52961, 51040, 50805, 53975, 51538, 50420, 51085, 52483, 51085, 52605, 51085, 52446, 50871, 60037, 69769, 55480, 50876, 52596, 50931, 52961, 50931, 50805, 56229, 51077, 50861, 51538, 50906, 51538, 51028, 51538, 50420, 51247, 69769, 52483, 51247, 69769, 52605, 51247, 69769, 52446, 50968, 50805, 51247, 51608, 50297, 55480, 50968, 52596, 50968, 52961, 50951, 50805, 56807, 51077, 50965, 51538, 50876, 51538, 50420, 51247, 69769, 52483, 51247, 69769, 52605, 51247, 69769, 52446, 50931, 50805, 51247, 51608, 50297, 55480, 50931, 52596, 50931, 52961, 51147, 50805, 62856, 57449, 58419, 71734, 66950, 55385, 50951, 52483, 50951, 52605, 51081, 52446, 51081, 57449, 58835, 65439, 55480, 50999, 52596, 50999, 52961, 51062, 50805, 59733, 57449, 58419, 71734, 55385, 51081, 52483, 51081, 52605, 51399, 52446, 51399, 57449, 59460, 65439, 55480, 51062, 52596, 51062, 52961, 51405, 50805, 76953, 57449, 58419, 71734, 55385, 51399, 52483, 51399, 52605, 51339, 52446, 51339, 57449, 58419, 71734, 65934, 55480, 51430, 52596, 51430, 52961, 51487, 50805, 54578, 68678, 58987, 67800, 50824, 51339, 53681, 50900, 57593, 61537, 60253, 64244, 52175, 51085, 57593, 61537, 60253, 64244, 52325, 50900, 57593, 61537, 60253, 64244, 50802, 54197, 58987, 67800, 72970, 73301, 53681, 50900, 57593, 61537, 60253, 64244, 52175, 51085, 57593, 61537, 64244, 60253, 54098, 50900, 57593, 61537, 64244, 50802, 54197, 58987, 67800, 72970, 73301, 54107, 51085, 58987, 73414, 66547, 73301, 53663, 51050, 58987, 67800, 72970, 73301, 54145, 51085, 58987, 73414, 66547, 73301, 50824, 54197, 58987, 67800, 72970, 73301, 54107, 51085, 73414, 66547, 73301, 50824, 51430, 53663, 51050, 67800, 72970, 73301, 50824, 51339, 54145, 51085, 73414, 66547, 73301, 50824, 51430, 50824, 54197, 67800, 72970, 73301, 50824, 51339, 53663, 51085, 66822, 57994, 58987, 73414, 50824, 58106, 51247, 50824, 51050, 68678, 58987, 67800, 50824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 20425, 8, 15352, 30054, 3152, 8, 3495, 2214, 16, 686, 7, 5258, 110, 11656, 19, 63, 33558, 16464, 4, 27901, 10, 20902, 20535, 2810, 6, 30587, 8, 81, 9756, 29589, 6, 8, 10, 1428, 12638, 1451, 6, 5, 1349, 3136, 23, 10, 1769, 2877, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 24, 22848, 10, 33215, 16739, 9, 163, 119, 406, 8, 83, 73, 717, 6, 1271, 7, 63, 14899, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50796, 60651, 50838, 69036, 50838, 51493, 50901, 61401, 67152, 58659, 52645, 50827, 51493, 53906, 52645, 50838, 51493, 56369, 65625, 52645, 50827, 51493, 54312, 54968, 52645, 50838, 51493, 58679, 64281, 52645, 50827, 51493, 54276, 52645, 50838, 51493, 56369, 64963, 52660, 50827, 51273, 54312, 50949, 69036, 50838, 51493, 58679, 70394, 52645, 50827, 51493, 53906, 52645, 50838, 51493, 56369, 65625, 52645, 50827, 51493, 54312, 54968, 52645, 50838, 51493, 58679, 64281, 52645, 50827, 51493, 53597, 50615, 53996, 52645, 50838, 51493, 50901, 73603, 58379, 50949, 55350, 64963, 52660, 50827, 51273, 50854, 55253, 50933, 55253, 50933, 57007, 57901, 51126, 69036, 50838, 51493, 50901, 54817, 50933, 54817, 50933, 61401, 62016, 54302, 50933, 54302, 64987, 52645, 50827, 51493, 50854, 63563, 50933, 63563, 50933, 51335, 54654, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 50933, 53212, 51367, 51126, 50430, 54817, 50933, 54817, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 53485, 50933, 53485, 62565, 52645, 50827, 51493, 50854, 61642, 50933, 61642, 55514, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 59743, 67641, 54817, 50933, 54817, 65897, 52660, 50827, 51273, 50854, 57418, 50933, 57418, 55930, 50949, 69036, 50838, 51493, 50901, 59878, 50933, 59878, 55930, 72746, 53865, 50933, 53865, 64987, 52645, 50827, 51493, 50854, 65193, 50933, 65193, 55656, 52645, 50838, 51493, 50901, 57418, 50933, 57418, 59743, 64362, 59878, 50933, 59878, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 54302, 50933, 54302, 62565, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55514, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 59743, 67641, 54302, 50933, 54302, 65897, 52660, 50827, 51273, 50854, 55253, 50933, 55253, 55930, 50949, 69036, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 72746, 54302, 50933, 54302, 64987, 52645, 50827, 51493, 50854, 63563, 50933, 63563, 55656, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 59743, 64362, 54817, 50933, 54817, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 53485, 50933, 53485, 62565, 52645, 50827, 51493, 50854, 61642, 50933, 61642, 55514, 52645, 50838, 51493, 50901, 55253, 50933, 55253, 59743, 67641, 54817, 50933, 54817, 65897, 52660, 50827, 51273, 50854, 57418, 50933, 57418, 55930, 50949, 69036, 50838, 51493, 50901, 59878, 50933, 59878, 55930, 72746, 53865, 50933, 53865, 64987, 52645, 50827, 51493, 50854, 65193, 50933, 65193, 55656, 52645, 50838, 51493, 50901, 57418, 50933, 57418, 59743, 64362, 59878, 50933, 59878, 62727, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 55930, 54968, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 55930, 74173, 54302, 50933, 54302, 62565, 52645, 50827, 51493, 50854, 55253, 50933, 55253, 59743, 53035, 52645, 50838, 51493, 50901, 54817, 50933, 54817, 59743, 60053, 54302, 50933, 54302, 59743, 60203, 52660, 50827, 51273, 50854, 77817, 50933, 77817, 50933, 57007, 50961, 69036, 50838, 51493, 50901, 72283, 50933, 72283, 50933, 57492, 52909, 59527, 63563, 50933, 63563, 64987, 52645, 50827, 51493, 50854, 72283, 50933, 72283, 55656, 52645, 50838, 51493, 50901, 63563, 50933, 63563, 50933, 53212, 50922, 50364, 51865, 59225, 55253, 50933, 55253, 62727, 52645, 50827, 51493, 50854, 72283, 50933, 72283, 55930, 54968, 52475, 50838, 51216, 50901, 61642, 50933, 61642, 50933, 51938, 50922, 59144, 57418, 50933, 57418, 62565, 52475, 50827, 51216, 50854, 54817, 50933, 54817, 55514, 52475, 50838, 51216, 50901, 53485, 50933, 53485, 50933, 53212, 50922, 67827, 54817, 50933, 54817, 65897, 52587, 50827, 51461, 50854, 50692, 50334, 50933, 50692, 50334, 50933, 51938, 50922, 50908, 61163, 50838, 51273, 50901, 65193, 50933, 65193, 50933, 51938, 50922, 59527, 57418, 50933, 57418, 64987, 52660, 50827, 51273, 50854, 65193, 50933, 65193, 55656, 52660, 50838, 51273, 50901, 57418, 50933, 57418, 50933, 53212, 50922, 51129, 50430, 59878, 50933, 59878, 62727, 53311, 50827, 51705, 50854, 65193, 50933, 65193, 55930, 54968, 51995, 50838, 51098, 50901, 55253, 50933, 55253, 50933, 51938, 50922, 59144, 53865, 50933, 53865, 62565, 51995, 50827, 51098, 50854, 54302, 50933, 54302, 55514, 51995, 50838, 51098, 50901, 53485, 50933, 53485, 50933, 53212, 50922, 67827, 53865, 50933, 53865, 65897, 54471, 50827, 52659, 50854, 63563, 50933, 63563, 50933, 51938, 50922, 50908, 60139, 50838, 51461, 50901, 61642, 50933, 61642, 50933, 51938, 50922, 59527, 55253, 50933, 55253, 64987, 52587, 50827, 51461, 50854, 54817, 50933, 54817, 55656, 52587, 50838, 51461, 50901, 53865, 50933, 53865, 50933, 53212, 50922, 51129, 50430, 53485, 50933, 53485, 62727, 52645, 50827, 51493, 50854, 54302, 50933, 54302, 55930, 54968, 51758, 50838, 51140, 50901, 53485, 50933, 53485, 50933, 51938, 50922, 59144, 54302, 50933, 54302, 62565, 51758, 50827, 51140, 50854, 53304, 50933, 53304, 55514, 51758, 50838, 51140, 50901, 53159, 50933, 53159, 50933, 53212, 50922, 67827, 53554, 50933, 53554, 65897, 52887, 50827, 52419, 50854, 54388, 50933, 54388, 50933, 51938, 50922, 50908, 71999, 50838, 52659, 50901, 55264, 50933, 55264, 50933, 51938, 50922, 59527, 54388, 50933, 54388, 64987, 54471, 50827, 52659, 50854, 56824, 50933, 56824, 50933, 51326, 52870, 54471, 50838, 52659, 50901, 54302, 50933, 54302, 50933, 53212, 52388, 54821, 51129, 50430, 61932, 50933, 61932, 50933, 51456, 57535, 52632, 50827, 51560, 50854, 54231, 50933, 54231, 50933, 51938, 52388, 52950, 52645, 50838, 51493, 50901, 54388, 50933, 54388, 50933, 51938, 52388, 52954, 59144, 56824, 50933, 56824, 50933, 52060, 59279, 52645, 50827, 51493, 50854, 53159, 50933, 53159, 50933, 52060, 53409, 52645, 50838, 51493, 50901, 54364, 50933, 54364, 50933, 53212, 52897, 55101, 67827, 56824, 50933, 56824, 59743, 60427, 51245, 50959, 51245, 50959, 52645, 50827, 51493, 50854, 61932, 51080, 61932, 51080, 54388, 51080, 54388, 51080, 54409, 51103, 51266, 51145, 57007, 55101, 50908, 50799, 51404, 50933, 51404, 50933, 51493, 50901, 51938, 50985, 57901, 56821, 59527, 51499, 50933, 51499, 64987, 51746, 50933, 51746, 50933, 51493, 53906, 51245, 50933, 51245, 50933, 51493, 50901, 53212, 50922, 51129, 50430, 51404, 50933, 51404, 62727, 51245, 50959, 51245, 50959, 51493, 54312, 54968, 51404, 50933, 51404, 50933, 51493, 50901, 51938, 50922, 59144, 51347, 50933, 51347, 62565, 51593, 50933, 51593, 50933, 51493, 54276, 51245, 50933, 51245, 50933, 51493, 50901, 53212, 50922, 67827, 51404, 50933, 51404, 65897, 51323, 50959, 51323, 50959, 51273, 50854, 54409, 50897, 51266, 50955, 51938, 50922, 50908, 50799, 51823, 51008, 51823, 51008, 51493, 50901, 52991, 51103, 51107, 51145, 51938, 50922, 59527, 51188, 51008, 51188, 69647, 51478, 50955, 51478, 50955, 51493, 53906, 51323, 50959, 51323, 50959, 51493, 50901, 53212, 50922, 51129, 50430, 51823, 51008, 51823, 62743, 51245, 50959, 51245, 50959, 51493, 54312, 54968, 51404, 51008, 51404, 51008, 51493, 50901, 51938, 50922, 59144, 51499, 51008, 51499, 67139, 51245, 51008, 51245, 51008, 51493, 54276, 51404, 51008, 51404, 51008, 51493, 50901, 53212, 50922 ]

[ 0, 250, 5679, 26709, 8, 19448, 15855, 2125, 19, 5175, 4785, 6, 4246, 38668, 20535, 6, 13305, 6, 17691, 28430, 6, 21979, 9590, 6, 8, 326, 5638, 18026, 4, 20, 2214, 16, 11, 274, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 272, 119, 406, 6, 83, 406, 6, 211, 119, 406, 6, 230, 119, 406, 6, 8, 274, 406, 6, 2351, 10, 43580, 3693, 5466, 19, 17878, 9, 15073, 8, 10, 12405, 1619, 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 ]

[ 57448, 51275, 51330, 54310, 50915, 51760, 55382, 51275, 50981, 51964, 51446, 53857, 51103, 53761, 51103, 54326, 51103, 56361, 51103, 51476, 50943, 51980, 50905, 51981, 51212, 52932, 51101, 54310, 51101, 51760, 57421, 51706, 76810, 51561, 51312, 51980, 50855, 55458, 76623, 51099, 54058, 52176, 51291, 53367, 51103, 52544, 51103, 53043, 51103, 54843, 51103, 51410, 51189, 51327, 51391, 51825, 51351, 51981, 51134, 52387, 56934, 51280, 51480, 62673, 50995, 52280, 60413, 51280, 51212, 52932, 53901, 52746, 51413, 54888, 51103, 52107, 51103, 52730, 51486, 54326, 51486, 51687, 51255, 51457, 50844, 51981, 50834, 52932, 50834, 54310, 50854, 51760, 54259, 51308, 51310, 51327, 50813, 53171, 50835, 51756, 55306, 51099, 51480, 51414, 50820, 52932, 50839, 52280, 55945, 51198, 51008, 51249, 50834, 52287, 50820, 52213, 72326, 51561, 51097, 51876, 51413, 52804, 51103, 53761, 50914, 51303, 51189, 51414, 50889, 51980, 51003, 51981, 51003, 52387, 58705, 51308, 50987, 70781, 50974, 52544, 50914, 53043, 50914, 54843, 50914, 51327, 50942, 51825, 50942, 52287, 50987, 52213, 72100, 53483, 52069, 53955, 51307, 52544, 51307, 54326, 52903, 58342, 51307, 55349, 51790, 51414, 51377, 52109, 51377, 51825, 51056, 52932, 50889, 52280, 51264, 50432, 51144, 71552, 51308, 51212, 62582, 53681, 51144, 51480, 50445, 56074, 51194, 50447, 55386, 50987, 50449, 52932, 52843, 51777, 51148, 61453, 51072, 51825, 59960, 51308, 51318, 62673, 50932, 56048, 64948, 53483, 52921, 51876, 51894, 55496, 51029, 52804, 51894, 53761, 51894, 54843, 51894, 53075, 51161, 51414, 51043, 51980, 51121, 51981, 51255, 52861, 51307, 50432, 51561, 51423, 50438, 51308, 74458, 51561, 51244, 62699, 55059, 55093, 52768, 51119, 51318, 56048, 50824, 53043, 51189, 51825, 50813, 50799, 62582, 57214, 51876, 69790, 53038, 51446, 52303, 51191, 51249, 51419, 51457, 51003, 50427, 58811, 51542, 52339, 51029, 50428, 51708, 51419, 50430, 51198, 64025, 51825, 76772, 54108, 51328, 52058, 50976, 50445, 51708, 58175, 52690, 51294, 51414, 50995, 51327, 50995, 51457, 50981, 51825, 50915, 50451, 51876, 51253, 53366, 51183, 51706, 51047, 52714, 51477, 51702, 51029, 50799, 52932, 62833, 51876, 52034, 50420, 52186, 51058, 52178, 52038, 51476, 51204, 51414, 51267, 51980, 51203, 50427, 51964, 51127, 52714, 51097, 51702, 53566, 51706, 51337, 51825, 59577, 51561, 51318, 51981, 67203, 54649, 50835, 51968, 54129, 52714, 50886, 51702, 60681, 54649, 50886, 51968, 52940, 51706, 51775, 52932, 50862, 54108, 51008, 52058, 63816, 55008, 50886, 51947, 52768, 53075, 51417, 51980, 51423, 51981, 51242, 52932, 51328, 54310, 51242, 50451, 52785, 51413, 50452, 58811, 51775, 52339, 51066, 50457, 51706, 50904, 50799, 51980, 51411, 52948, 51534, 52287, 51411, 53171, 51025, 50415, 51708, 51242, 55008, 51423, 51947, 51009, 50421, 51561, 54317, 53038, 51077, 52303, 50983, 51249, 51115, 51457, 51295, 51825, 51295, 50427, 51708, 51749, 50428, 51198, 51419, 50429, 51144, 76810, 58811, 50974, 50442, 52339, 52940, 54108, 51058, 52058, 50976, 50445, 51198, 59124, 52690, 50807, 51414, 50981, 51327, 50981, 51457, 51134, 51825, 51003, 50451, 53366, 51127, 54246, 50835, 52384, 62353, 54649, 50835, 52714, 51542, 51968, 50817, 51702, 51029, 50457, 51706, 51312, 51601, 51144, 60726, 52932, 50878, 50421, 51706, 50838, 52186, 51008, 52178, 53537, 51476, 51364, 51414, 51218, 51980, 51189, 51825, 51191, 52714, 51939, 51702, 51184, 50427, 51964, 50918, 50433, 51706, 51283, 50439, 51561, 75029, 51099, 57299, 52785, 51145, 53075, 51141, 51249, 51391, 51980, 51134, 50451, 51308, 51337, 50457, 51706, 50864, 51601, 51708, 51312, 51119, 51253, 50426, 52303, 50807, 51249, 51109, 51457, 51003, 54108, 51542, 52058, 51029, 50427, 51708, 50933, 53038, 51127, 50428, 51144, 51312, 50433, 51708, 56656, 51825, 62293, 51198, 50974, 50442, 52714, 51328, 51702, 50993, 50445, 51144, 57554, 52690, 51159, 51414, 50974, 51457, 50892, 51825, 50845, 52932, 71474, 53366, 51183, 51706, 51148, 52186, 51542, 52178, 68174, 51144, 51101, 68407, 50981, 51457, 50857, 54310, 53299, 51144, 51328, 52549, 50837, 54006, 60879, 51900, 51174, 52488, 52038, 51476, 51241, 51980, 51233, 51981, 50987, 52932, 50955, 53171, 78435, 51561, 51203, 51964, 51077, 51784, 51174, 52194, 60648, 52932, 62425, 51706, 51534, 52186, 51051, 52178, 53925, 52287, 50844, 52355, 50904, 52148, 59071, 51561, 51097, 50440, 52186, 50837, 52178, 54129, 52355, 50904, 52148, 60869, 52278, 50972, 51866, 52313, 51981, 63381, 51706, 53140, 53075, 51204, 51980, 51337, 51825, 51203, 52714, 51576, 51702, 67067, 51708, 51172, 52785, 51127, 50457, 51561, 51576, 50799, 51980, 50862, 54649, 51709, 51968, 60508, 51708, 51738, 50420, 51561, 51079, 50425, 54108, 54249, 52058, 52442, 50426, 54733, 51562, 55366, 51196, 54872, 50983, 51719, 51295, 51327, 51218, 50427, 52746, 51562, 50428, 51280, 51412, 50430, 51494, 57937, 54091, 51003, 50439, 51280, 51309, 50442, 51837, 52940, 52929, 50817, 52353, 57276, 51494, 60044, 53519, 52116, 54128, 51343, 52690, 50807, 51303, 51351, 51672, 51351, 52387, 51241, 50451, 51837, 50811, 52040, 51542, 53366, 51397, 50452, 52929, 50817, 51144, 51397, 50453, 52353, 51059, 50454, 53519, 51059, 51601, 52176, 51480, 50420, 51098, 50937, 50421, 51516, 50811, 52040, 51058, 50424, 51948, 51973, 51461, 51356, 53248, 50889, 51476, 50914, 51465, 51025, 50427, 51837, 50817, 51964, 51417, 51706, 51397, 50430, 51837, 58221, 52929, 59009, 51837, 50817, 51232, 51542, 50434, 51948, 62602, 51837, 60920, 51414, 50878, 65959, 51003, 50439, 51119, 54653, 51476, 63693, 51099, 53140, 51140, 50889, 53075, 51417, 51687, 51115, 51414, 51400, 54091, 50889, 50451, 51144, 51310, 52785, 51397, 50458, 51435, 60488, 51516, 50811, 50799, 57411, 51016, 52544, 53259, 51249, 50892, 50418, 51275, 59852, 51561, 69647, 51153, 52968, 51308, 51300, 52157, 51336, 52253, 51103, 52107, 51103, 53043, 51103, 52303, 50983, 51249, 51295, 51457, 51189, 50427, 53038, 51446, 58811, 51204, 50433, 51198, 51310, 50439, 51708, 51775, 50442, 57382, 61110, 54108, 59187, 51825, 76078, 52714, 58624, 53366, 51103, 51098, 51336, 52107, 51103, 54326, 51103, 52690, 50807, 51414, 51391, 51825, 51351, 50456, 51706, 51109, 62673, 60115, 52932, 50878, 50421, 51706, 50838, 52186, 56412, 51461, 51356, 53761, 51307, 52544, 51103, 54326, 51486, 51476, 51294, 51414, 50915, 51980, 51255, 50427, 51964, 51103, 50428, 54649, 55863, 52714, 59517, 51825, 50878, 50433, 51706, 77313, 54649, 56057, 51981, 64643, 52709, 50811, 51561, 51775, 54108, 58037, 54649, 60964, 53629, 50817, 54108, 54305, 52353, 50811, 52932, 65079, 51706, 51337, 55008, 68527, 51837, 52768, 51099, 51337, 52785, 51183, 67603, 52730, 50914, 53075, 51417, 51980, 51337, 51981, 51212, 52932, 51337, 54310, 51212, 50451, 51948, 51066, 58811, 66225, 51706, 50933, 79362, 51337, 57411, 50896, 54290, 50914, 53043, 50914, 54843, 50914, 51980, 50905, 52948, 50892, 52287, 50892, 53171, 50845, 55008, 51112, 50415, 51837, 78943, 51708, 64570, 52157, 51472, 52253, 51103, 52107, 51103, 52544, 51103, 53043, 51103, 52303, 50943, 51457, 51411, 51825, 51400, 51981, 51025, 52932, 51203, 50427, 53038, 51291, 50432, 51144, 51419, 50438, 51198, 51101, 58811, 60492, 51708, 51006, 57382, 57757, 54108, 55758, 51098, 51141, 52107, 51103, 52544, 51103, 54326 ]

[ 0, 250, 15352, 30054, 8, 19448, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 13305, 25, 5, 6922, 10320, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 20902, 27841, 139, 20889, 4, 20, 33215, 16739, 9, 2060, 119, 6, 230, 119, 1176, 406, 6, 274, 119, 1176, 406, 6, 8, 381, 3639, 41, 3722, 5581, 7, 5, 15229, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 50799, 50643, 51279, 54089, 50431, 51315, 51264, 50446, 51027, 51291, 51809, 50997, 51397, 50428, 51027, 51380, 58296, 52195, 59758, 53241, 50455, 51279, 54300, 60212, 51315, 51562, 50440, 51027, 52392, 50457, 50916, 51054, 50458, 50871, 51235, 55753, 50899, 53890, 50916, 51735, 50436, 50900, 51121, 50443, 50899, 53241, 50447, 51279, 56736, 51809, 51315, 53363, 74769, 51446, 55895, 50980, 50451, 50899, 51173, 50461, 50997, 50897, 53069, 50900, 51030, 50421, 50997, 51221, 50430, 51027, 50940, 50436, 51027, 51551, 50442, 51279, 56094, 50460, 51315, 52536, 75695, 51027, 51274, 73227, 51354, 50861, 51505, 50456, 51027, 51397, 54852, 51354, 50916, 51460, 50423, 75973, 51315, 51381, 63174, 52311, 50916, 52369, 50437, 51279, 56300, 50455, 51315, 51692, 56020, 51027, 51496, 50433, 50861, 51286, 50899, 51012, 50440, 50900, 51073, 50916, 70390, 51027, 51336, 51315, 55197, 50456, 50871, 50976, 50899, 51012, 50461, 50916, 50893, 53069, 50899, 71587, 51315, 51852, 56248, 51184, 50431, 51279, 54484, 50449, 51315, 51896, 51809, 51027, 51896, 50427, 50899, 51500, 50861, 51238, 50445, 51315, 51312, 56415, 73725, 75817, 51027, 51309, 50460, 51315, 51380, 52478, 50916, 53751, 50302, 51054, 50423, 51279, 53090, 50430, 51027, 60318, 50892, 50440, 50916, 52097, 50997, 51552, 50441, 51315, 53363, 50457, 51027, 51896, 69341, 50899, 51932, 50900, 51735, 50437, 50997, 66479, 50900, 67636, 50997, 65371, 51026, 51177, 50460, 51027, 51196, 51809, 51279, 54300, 50434, 51315, 51161, 50449, 51027, 51141, 52177, 50916, 56030, 50968, 50910, 50441, 51220, 50882, 50452, 50968, 54194, 50999, 53241, 50796, 50430, 51279, 50858, 51315, 53668, 50877, 51472, 50997, 77464, 51291, 50457, 50965, 50952, 55753, 50999, 58216, 51147, 51091, 50431, 50965, 68434, 55544, 50899, 50873, 50443, 61196, 50449, 50968, 51058, 50454, 51315, 51535, 51176, 51477, 50455, 50899, 51318, 55753, 50968, 64651, 71714, 50876, 69587, 51028, 53936, 50320, 51033, 50445, 50900, 51452, 50968, 51346, 50876, 51238, 51027, 51452, 50916, 51452, 50452, 50973, 50892, 50460, 50876, 51238, 50968, 51175, 52591, 51050, 51377, 50973, 51194, 50428, 50877, 51212, 50436, 50973, 51058, 50442, 50877, 54356, 50968, 51364, 50877, 78704, 50983, 51027, 51218, 50916, 51189, 52177, 51120, 74134, 50925, 50436, 50876, 80031, 51050, 51591, 50877, 51591, 51234, 51145, 50871, 51623, 51809, 50902, 51212, 50439, 51279, 56094, 51028, 61908, 51427, 50452, 50906, 51244, 50456, 51315, 51680, 55746, 51027, 51218, 50877, 51343, 50444, 51315, 51419, 50456, 51027, 50915, 50460, 50899, 50866, 53069, 50916, 65599, 51315, 51097, 50434, 50916, 51285, 50899, 51661, 51279, 52045, 50453, 51315, 59631, 51027, 50866, 51809, 50899, 59991, 51315, 51417, 50425, 50871, 52827, 50997, 52097, 50437, 51027, 51362, 50448, 51315, 51742, 50452, 50997, 51101, 50459, 50899, 50866, 56310, 51294, 55902, 51552, 50421, 50900, 51300, 50425, 51279, 52045, 50442, 51315, 51103, 50448, 50900, 54752, 51027, 51291, 51809, 50877, 51761, 50899, 51059, 50425, 51315, 51204, 50436, 51027, 51551, 50441, 50899, 51060, 50447, 50916, 51354, 50449, 51315, 51381, 50461, 51279, 52570, 55694, 53531, 50308, 51745, 50424, 51315, 51448, 50430, 50899, 51460, 50877, 51226, 50441, 51027, 51115, 67655, 52370, 50304, 51460, 50456, 51315, 51183, 51601, 50997, 51603, 50871, 51054, 57025, 50889, 50430, 50916, 77756, 51315, 51116, 72785, 53318, 50302, 51379, 50447, 50916, 51460, 50456, 51315, 51101, 54206, 51541, 51026, 51167, 50424, 51315, 51400, 50430, 50916, 51454, 51027, 50911, 50446, 51315, 51790, 51601, 51027, 50932, 50416, 50877, 54819, 50968, 50866, 50425, 51220, 79612, 50968, 50925, 50440, 50999, 52311, 51601, 51279, 50952, 51315, 72068, 50861, 57547, 50899, 51025, 50876, 51233, 50442, 50965, 71765, 50877, 51006, 50454, 50999, 51173, 50459, 51147, 51362, 52177, 51040, 70961, 50800, 67563, 50428, 50931, 72021, 50968, 51101, 50439, 51176, 51448, 51315, 51127, 50899, 51127, 50454, 51028, 50967, 50968, 51060, 54960, 79490, 51028, 51030, 50422, 50968, 68418, 50900, 51742, 50968, 51025, 50876, 51238, 50916, 51742, 51027, 51742, 50438, 50973, 75029, 50876, 51345, 50968, 50991, 50453, 50973, 51337, 51050, 50981, 50461, 50877, 51043, 55753, 50973, 51277, 50427, 67663, 50433, 51027, 77464, 51294, 50434, 50968, 51541, 50871, 51745, 50449, 71774, 51120, 50925, 53069, 50876, 69596, 51050, 51790, 51234, 51452, 50877, 51336, 50424, 50871, 51336, 50446, 50902, 51215, 55753, 50902, 52545, 50317, 51541, 50422, 51279, 54484, 50434, 72421, 50439, 51315, 51417, 50457, 50877, 53177, 50301, 51294, 69341, 51315, 51134, 63809, 50845, 50442, 50916, 51294, 50899, 51294, 50453, 51315, 51419, 52177, 51279, 52903, 50916, 51364, 50899, 51189, 50430, 51315, 51101, 50435, 51027, 51238, 50448, 51315, 50905, 50452, 50916, 51552, 50899, 51496, 57551, 51025, 50422, 51027, 51286, 50435, 51315, 50978, 59419, 50924, 57428, 50924, 50448, 50877, 50879, 50454, 62873, 50460, 50968, 51573, 50877, 51552, 50916, 51091, 51027, 51091, 50796, 50449, 50876, 51310, 50899, 51310, 50861, 51310, 50968, 51391, 51050, 51742, 51234, 51742, 50796, 50436, 50916, 50866, 50442, 50871, 67636, 50877, 50893, 50452, 62926, 50458, 50968, 51573, 50871, 51343, 50877, 51274, 50459, 50916, 51091, 51027, 51189, 50796, 79472, 52071, 50861, 52071, 50876, 52071, 50899, 51662, 50447, 51234, 51662, 51050, 51677, 50796, 51601, 50999, 51226, 50902, 51294, 50931, 51362, 50877, 51091, 50416, 50906, 51091, 50430, 50951, 50948, 50431, 50871, 65835, 50931, 58229, 50999, 50991, 50454, 50906, 51233, 50871, 51363, 50902, 51233, 50931, 51242, 50455, 50997, 51742, 50796, 50430, 50877, 51212, 51028, 51242, 50951, 65064, 64233, 50987, 50453, 50871, 51397, 50876, 51448, 50968, 51310, 50877, 51448, 50454, 50900, 51318, 50916, 51310, 50796, 67964, 51291, 50968, 51291, 51120, 51080, 50916, 51417, 50445, 50871, 50983, 51027, 51183, 79254, 50877, 50987, 50433, 50968, 66326, 51220, 51021, 50451, 68319, 50455, 50999, 52311, 50796, 50430, 51279, 50821, 51315, 51033, 50447, 50861, 51157, 63830, 50899, 51160, 50458, 50965, 50854, 54852, 51058, 50422, 50999, 63750, 51147, 51343, 50432, 67563, 77206, 51040, 50948, 50443, 50931, 66372, 50968, 50991, 50454, 51176, 51115, 51315, 51141, 50899, 50795, 52177, 75099, 50421, 51028, 51175, 50422, 50968, 51175, 50429, 50876, 80223, 67243, 50968, 73048, 50900, 51790, 50916, 51103, 50968, 51345, 51027, 51452, 50876, 51235, 50453, 50973, 50892, 50460, 50876, 51175, 50968, 51215, 52591, 50973, 51177, 51050, 51312, 50427, 79276, 50435, 50973, 51177, 50441, 50877, 51077, 50449, 50968, 51573, 50871, 51745, 50916, 51364, 51027, 50983, 51120, 51291, 51601, 70427, 65281, 54123, 50877, 63656, 51103, 50439, 51234, 51145, 51050, 51452, 57731, 50902, 50923, 50434, 51028, 61908, 50975, 51279, 54089, 76495, 50918, 50451, 51315, 50918, 52591, 50877, 51029, 51027, 51294, 50436, 51315, 51191, 50448, 51027, 50865, 50452, 50916, 51505, 50459, 66432, 51601, 51027, 50924, 53337, 50896, 50427, 51279, 51685, 57428, 53194, 50301, 50983, 50445, 50916, 51541, 50458, 50899, 51237, 55753, 51234, 51527, 50428, 50916, 51932, 50439, 50997, 50849, 50443, 50871, 59164, 50916, 60278, 50899, 51175, 50460, 50916, 51138, 51809, 51315, 57368, 51841, 56731, 50871, 51090, 50433, 51176, 51191 ]

[ 0, 713, 14899, 5175, 2214, 11, 83, 538, 22750, 1626, 11098, 8, 1313, 1007, 149, 63, 20902, 34879, 4, 20, 326, 5638, 18026, 8, 20535, 2810, 185, 5, 483, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 3459, 9590, 6, 21072, 6, 8, 2382, 3459, 8669, 4, 590, 10, 1769, 20889, 8, 10, 23317, 155, 73, 306, 86, 6543, 6, 24, 18, 10, 24897, 15229, 14, 18, 686, 7, 836, 10, 6675, 7, 110, 652, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 69827, 50791, 51693, 51544, 51693, 50434, 71325, 51468, 50437, 61767, 63380, 50799, 51390, 50811, 56433, 50883, 52564, 50880, 51762, 50417, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 56299, 51229, 50811, 56433, 50883, 53302, 53939, 51390, 50811, 56357, 50880, 51762, 50429, 51390, 50811, 55678, 51864, 53670, 51590, 50811, 56433, 50883, 52564, 56486, 51229, 50811, 56357, 53294, 51390, 50811, 56357, 50880, 51762, 50441, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 55551, 51390, 50823, 56357, 54411, 56433, 50880, 52564, 50880, 51762, 50453, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 57521, 56433, 50883, 53302, 50883, 50799, 51390, 50811, 55678, 50883, 53191, 50880, 51762, 50417, 51390, 50811, 58674, 51864, 53738, 51590, 50817, 56357, 56299, 51229, 50811, 55678, 50883, 52564, 53939, 51390, 50817, 58674, 50880, 51762, 50429, 51390, 50811, 56357, 51864, 53670, 51229, 50817, 55678, 50883, 53191, 55135, 51229, 50811, 58674, 53294, 51390, 50811, 58674, 50880, 51762, 50441, 51924, 50811, 55678, 50883, 52564, 51041, 53384, 53076, 50811, 58674, 56312, 52700, 50811, 58674, 54411, 55678, 50883, 53191, 50880, 51762, 50453, 58674, 51041, 53556, 58674, 57521, 55678, 50883, 53191, 50883, 50799, 51390, 50811, 56433, 50883, 52564, 50880, 51762, 50417, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 55133, 51229, 50811, 56433, 50883, 53302, 53087, 51390, 50811, 56357, 50880, 51762, 50429, 51390, 50811, 56357, 51041, 53670, 51590, 50811, 56433, 50883, 52564, 55135, 51229, 50811, 56357, 53294, 51390, 50811, 56357, 50880, 51762, 50441, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 56312, 51390, 50811, 56357, 54411, 56433, 50883, 52564, 50880, 51762, 50453, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 57521, 51229, 50811, 56433, 50883, 53302, 50883, 50799, 51390, 50817, 55678, 50883, 53191, 50880, 51762, 50417, 51390, 50811, 58674, 51864, 53738, 51590, 50811, 56357, 56299, 51229, 50811, 55678, 50883, 52564, 53939, 51390, 50811, 58674, 50880, 51762, 50429, 51390, 50811, 56357, 51864, 53670, 51590, 50811, 55678, 50880, 53191, 55135, 51229, 50811, 58674, 55531, 60281, 50816, 52600, 51776, 50890, 51866, 50809, 51390, 50811, 58674, 55531, 55757, 52578, 50895, 52698, 50818, 51924, 50811, 55678, 50883, 52564, 53675, 51888, 50890, 52384, 50809, 53076, 50811, 58674, 53412, 55551, 51648, 50890, 52058, 50809, 52700, 50811, 58674, 55531, 53711, 51888, 50890, 52384, 50809, 55678, 50883, 53191, 58215, 52578, 50890, 52698, 50809, 58674, 53412, 53563, 51776, 50890, 51866, 50809, 58674, 50385, 54936, 61765, 52002, 50890, 52148, 53793, 55678, 50883, 53191, 64032, 50846, 50799, 52991, 50893, 52002, 51173, 52148, 51060, 52488, 50795, 51390, 50811, 50927, 51486, 56433, 50883, 52564, 53662, 51041, 57900, 64371, 55138, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 56299, 51229, 50811, 56433, 50883, 53302, 57919, 52639, 51390, 50811, 56357, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 55678, 51864, 53670, 51590, 50811, 56433, 50883, 52564, 53662, 57893, 53908, 51229, 50811, 56357, 57893, 52600, 51390, 50811, 56357, 50880, 73011, 54704, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 55551, 51390, 50823, 56357, 57919, 52725, 51205, 51110, 56433, 50880, 52564, 53662, 51041, 54763, 69979, 55079, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 53662, 57893, 54359, 50964, 51486, 56433, 50883, 53302, 57893, 50820, 50799, 51390, 50811, 55678, 50883, 53191, 50880, 73011, 55138, 51390, 50811, 58674, 51864, 53738, 51590, 50817, 56357, 55206, 53109, 51229, 50811, 55678, 50883, 52564, 57919, 52639, 51390, 50817, 58674, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 56357, 51864, 53670, 51229, 50817, 55678, 50883, 53191, 54162, 57893, 53908, 51229, 50811, 58674, 57893, 52600, 51390, 50811, 58674, 50880, 73011, 54704, 51924, 50811, 55678, 50883, 52564, 51041, 53384, 53076, 50811, 58674, 56312, 52700, 50811, 58674, 57919, 52725, 51069, 51159, 55678, 50883, 53191, 53662, 51041, 54763, 69979, 55079, 58674, 51041, 53556, 58674, 53662, 57893, 54359, 55678, 50883, 53191, 57893, 50820, 50799, 52991, 51227, 52488, 51112, 51390, 50811, 50927, 51486, 56433, 50883, 52564, 50880, 73011, 55138, 51390, 50811, 56357, 51864, 53738, 51590, 50811, 55678, 52586, 53109, 51229, 50811, 56433, 50883, 53302, 55767, 52639, 51390, 50811, 56357, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 56357, 51041, 53670, 51590, 50811, 56433, 50883, 52564, 54162, 57893, 53908, 51229, 50811, 56357, 57893, 52600, 51390, 50811, 56357, 50880, 73011, 54704, 51924, 50817, 56433, 50880, 53302, 51864, 53384, 53076, 50811, 56357, 56312, 51390, 50811, 56357, 57919, 52725, 51205, 51110, 56433, 50883, 52564, 53662, 51041, 54763, 69979, 55079, 51390, 50811, 56357, 51041, 53556, 51590, 50817, 56357, 53662, 57893, 54359, 51229, 50811, 50964, 51894, 56433, 50883, 53302, 57893, 50820, 50799, 52306, 50890, 52194, 50809, 51390, 50817, 55678, 50883, 53191, 50880, 73011, 55138, 51390, 50811, 58674, 51864, 53738, 52306, 50895, 52194, 50818, 51590, 50811, 56357, 55206, 55983, 52002, 51356, 52148, 50918, 50423, 51229, 50811, 55678, 50883, 52564, 57919, 52639, 51390, 50811, 58674, 53662, 51041, 54763, 69979, 54660, 51390, 50811, 56357, 51864, 53670, 51590, 50811, 55678, 50880, 53191, 54162, 57893, 53908, 51229, 50811, 58674, 58534, 52600, 51390, 50811, 58674, 50880, 73011, 54704, 51924, 50811, 55678, 50883, 52564, 51041, 53384, 53076, 50811, 58674, 55551, 52700, 50811, 58674, 57919, 52725, 51069, 51159, 55678, 50883, 53191, 53662, 51041, 54763, 69979, 57150, 52578, 50895, 52698, 53545, 51776, 50890, 51866, 50809, 58674, 51041, 53556, 52002, 50890, 52148, 50809, 58674, 53662, 57893, 56399, 53170, 50890, 53084, 53793, 55678, 50883, 53191, 57893, 50820, 50799, 52002, 56736, 53170, 56736, 52991, 56736, 52148, 53520, 53084, 53520, 52488, 53520, 50927, 54153, 56357, 52500, 52564, 52500, 52631, 52500, 67779, 50369, 53746, 56868, 52578, 56736, 52698, 53520, 50417, 53257, 53744, 53257, 52639, 53257, 55212, 53257, 53908, 53257, 52600, 53257, 53675, 53257, 53711, 53257, 54944, 53257, 54359, 53257, 50820, 50799, 53257, 56092, 53257, 53744, 53257, 52639, 53257, 55212, 53257, 53908, 53257, 52600, 53257, 53675, 53257, 53711, 53257, 54944, 53257, 54359, 53257, 50820, 50799, 51268, 69015, 73120, 50890, 50927, 51124, 57770, 57900, 55785, 54121, 50820, 51921, 50891, 52906, 51949, 54121, 53744, 51268, 69015, 73120, 55960, 52100, 52966, 51069, 50897, 57770, 51877, 54763, 69979, 50846, 78910, 51268, 69015, 73120, 50890, 51205, 58162, 53934, 51949, 54966, 53908, 51268, 69015, 73120, 53616, 56689, 52600, 50927, 51124, 57770, 51877, 54121, 50820, 76465, 51268, 69015, 73120, 56034, 51949, 54121, 54028, 50816, 52100, 52846, 66482, 57770, 51877, 54763, 69979, 55079, 51268, 69015, 73120, 53616, 53556, 51019, 58162, 53934, 51949, 54966, 50820, 52215, 56689, 50820, 79361, 69015, 50890, 51385, 50890, 51069, 51124, 57770, 51877, 54121, 50820, 51921, 50891, 52906, 51949, 54121, 53744, 51089, 69015, 50890, 51385, 55960, 52100, 52966, 70092, 57770, 51877, 54763, 69979, 57286, 51888, 50890, 52384, 50809, 78910, 52002, 50890, 52148, 71760, 69015, 50890 ]

[ 0, 713, 17627, 17274, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 16, 10, 15352, 30054, 8, 20425, 15229, 4, 25837, 2987, 30, 10, 11739, 9, 13305, 6, 30587, 8, 81, 9756, 29589, 6, 8, 4246, 10, 2842, 9, 1076, 560, 31365, 25999, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 2125, 16, 17407, 30, 10, 33215, 13931, 9, 381, 6, 163, 6, 83, 6, 381, 6, 8, 163, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50791, 50803, 51544, 50858, 64614, 50811, 57471, 50811, 51382, 60370, 50804, 50811, 52198, 50803, 50799, 52331, 50894, 51726, 68708, 51998, 51027, 62385, 50823, 51844, 52466, 53025, 55267, 51407, 50422, 51404, 50911, 51323, 50924, 52331, 50962, 51726, 50359, 50826, 50305, 52717, 50301, 76073, 50894, 51844, 52968, 52331, 50894, 51990, 50359, 50842, 50301, 51045, 51040, 50359, 50842, 50310, 63069, 51844, 52865, 54972, 55996, 52331, 50930, 51726, 79983, 52717, 50305, 52717, 50308, 50930, 51844, 52952, 51404, 51573, 51323, 51226, 52331, 50821, 51726, 51045, 51027, 50950, 51040, 50950, 50916, 50950, 51844, 52466, 54972, 59116, 52331, 51010, 51726, 55084, 51027, 52640, 50305, 52640, 50308, 50962, 51844, 52768, 52331, 51014, 51990, 50359, 50842, 50301, 51045, 51040, 74139, 50310, 50802, 51844, 52865, 54972, 56575, 52331, 50890, 51726, 52717, 50301, 52717, 50305, 52717, 50308, 50962, 51844, 50811, 50799, 52331, 50882, 51726, 50950, 51027, 52717, 50305, 76073, 50894, 51844, 52466, 54328, 57646, 51404, 50923, 51323, 51021, 52331, 50894, 51726, 50811, 51027, 52717, 50305, 52640, 50308, 50962, 51844, 52968, 52331, 51014, 51990, 50360, 50842, 50301, 51045, 50989, 50860, 51844, 52865, 54972, 56861, 52331, 50890, 51726, 52717, 50301, 52717, 50305, 52717, 50308, 50962, 51844, 52057, 51404, 51573, 51323, 51226, 52331, 51014, 51726, 51998, 51027, 50894, 51040, 51014, 50916, 51014, 51844, 52466, 54328, 59116, 52331, 50894, 51726, 53819, 50301, 52236, 50305, 52640, 50308, 50880, 51844, 52768, 52331, 51033, 51990, 75306, 50301, 50950, 51040, 74139, 50310, 50860, 51844, 52865, 54972, 56575, 52331, 50930, 51726, 79983, 52640, 50305, 52717, 50308, 50930, 51844, 50811, 50799, 52331, 50882, 51726, 53106, 51027, 50950, 51040, 71157, 51045, 51844, 52466, 54328, 57646, 63051, 51323, 50879, 52331, 50962, 51726, 52717, 50301, 52640, 50305, 52640, 50308, 50930, 51844, 52968, 52331, 50894, 51990, 56373, 51027, 50950, 51040, 58576, 50989, 50860, 51844, 53451, 54972, 56861, 52331, 50880, 51726, 52236, 50301, 52236, 50305, 52640, 50308, 50930, 51844, 52952, 51404, 51541, 51323, 51294, 52331, 51014, 51726, 51045, 51027, 51045, 51040, 62385, 50823, 51844, 53236, 54328, 57915, 52331, 50930, 51726, 52717, 50301, 52640, 50305, 76200, 50930, 51844, 52768, 52331, 50823, 51990, 50359, 50842, 50301, 50894, 51040, 74139, 50310, 57826, 51844, 51779, 53025, 56575, 52331, 50880, 51726, 52640, 50305, 68549, 79983, 50858, 51844, 50811, 50799, 52331, 50894, 51726, 53106, 51040, 73233, 51014, 50916, 53106, 51844, 51520, 54328, 58026, 51404, 50911, 51323, 50879, 52331, 50962, 51726, 52717, 50301, 52640, 50305, 52717, 50308, 50894, 51844, 52968, 52331, 51014, 51990, 58576, 51027, 50940, 50989, 50823, 51844, 52865, 52001, 56861, 51726, 50930, 52331, 52640, 50305, 50942, 70489, 51027, 50901, 51844, 52057, 51404, 51362, 51323, 51091, 52331, 50882, 51726, 50950, 50968, 72501, 50809, 51844, 52466, 54328, 60295, 50968, 75676, 68787, 52331, 50962, 51726, 50811, 50968, 50949, 50999, 50930, 51844, 52279, 52768, 52331, 50894, 51990, 75306, 50320, 52611, 65608, 51844, 52865, 59154, 50968, 50359, 50826, 50325, 58150, 52331, 50930, 51726, 50894, 52376, 66273, 69680, 50325, 55003, 51844, 52279, 50823, 50799, 52331, 50894, 51726, 68708, 69680, 50308, 50359, 50826, 50301, 50950, 51844, 52466, 54328, 57639, 68904, 51667, 63541, 63051, 51323, 50879, 52331, 50890, 51726, 52717, 50301, 52640, 50305, 52717, 50308, 50962, 51844, 54381, 51667, 52038, 52331, 50882, 51990, 58961, 51027, 52717, 50305, 53819, 50308, 53819, 50310, 59641, 51844, 53451, 53025, 56861, 52331, 50890, 51726, 50962, 51667, 50823, 51040, 52640, 50308, 50930, 51844, 52952, 51404, 51016, 70710, 52331, 50882, 51726, 50803, 52376, 50975, 50916, 79983, 50894, 51040, 50894, 51844, 53236, 54328, 57915, 52331, 50880, 51726, 52717, 50301, 52236, 50305, 52717, 50308, 50930, 51844, 52768, 52331, 50921, 51990, 75306, 50301, 79619, 51045, 51844, 52865, 53025, 58614, 52376, 56575, 52331, 50890, 51726, 50962, 52376, 50811, 51027, 52236, 50305, 52640, 50308, 50962, 51844, 50811, 50799, 52331, 50882, 51726, 50803, 51667, 77188, 50894, 51040, 50950, 50916, 50950, 51844, 52466, 54328, 57646, 51404, 50948, 51323, 50924, 52331, 50930, 51726, 50962, 51667, 50811, 51027, 52236, 50305, 52640, 50308, 50930, 51844, 52968, 52331, 51014, 51990, 54691, 51667, 77188, 51014, 51040, 53106, 50989, 53106, 51844, 52865, 54972, 57485, 52331, 50880, 51726, 50962, 52376, 51059, 51027, 52236, 50305, 52717, 50308, 50930, 51844, 52952, 51404, 51661, 51323, 51472, 52331, 50882, 51726, 73233, 52640, 50305, 76073, 50950, 51844, 52466, 54328, 57915, 52331, 50930, 51726, 52717, 50301, 52640, 50305, 52640, 50308, 50962, 51844, 52768, 52331, 51033, 51990, 72464, 51027, 51045, 51040, 53106, 50989, 50860, 51844, 52865, 54972, 58150, 52331, 50890, 51726, 50890, 52376, 73233, 52640, 50305, 52640, 50308, 50930, 51844, 50811, 50799, 51726, 50894, 52331, 50894, 51667, 77188, 50882, 51040, 76073, 50894, 51844, 52466, 54328, 58026, 51404, 50924, 51323, 50865, 52331, 50880, 51726, 50880, 51667, 50811, 51027, 52640, 50305, 52640, 50308, 50962, 51844, 51973, 52331, 51033, 51990, 57826, 51667, 77188, 50950, 51040, 53106, 50989, 50823, 51844, 52865, 54972, 56861, 52331, 50890, 51726, 50880, 51667, 68708, 50949, 51027, 52717, 50308, 50930, 51844, 52952, 51404, 51362, 51323, 51294, 52331, 50821, 51726, 50894, 52376, 62075, 50894, 51040, 76073, 50882, 51844, 52466, 52001, 59116, 52331, 50880, 51726, 52717, 50301, 52640, 50305, 52717, 50308, 50962, 51844, 55059, 52376, 52568, 52331, 51033, 51990, 54691, 52376, 77188, 51014, 50989, 51138, 51844, 52865, 54972, 58150, 51726, 50880, 52331, 50890, 52376, 50811, 51027, 52640, 50305, 52717, 50308, 50962, 51844, 50811, 50799, 52331, 50882, 51726, 50950, 51667, 77188, 50882, 51040, 76073, 50894, 51844, 52466, 52001, 58026, 51404, 51192, 51323, 51060, 51726, 50930, 52331, 50962, 51667, 50811, 51027, 52236, 50305, 52640, 50308, 50930, 51844, 52968, 52331, 51014, 51990, 65330, 51667, 77188, 79619, 51045, 51844, 52865, 54972, 56861, 52331, 50880, 51726, 50930, 52376, 51029, 51027, 52236, 50305, 52640, 50308, 50962, 51844, 52057, 51404, 51362, 51323, 51091, 52331, 50894, 51726, 50894, 51027, 50882, 51040, 76073, 50950, 51844, 52466, 52001, 59116, 52331, 50930, 51726, 52717, 50301, 51879, 50305, 76200, 50882, 51844, 52116, 52331, 50894, 51990, 50359, 50397, 51027, 51014, 51844, 52865, 54972, 56575, 52331, 50803, 51726, 50894, 52376, 73233, 51879, 50305, 76200, 50880, 67306, 77274, 50803, 51265, 50821, 51667, 50817, 51667, 50976, 50899, 53819, 50310, 70463, 50962, 51181, 52466, 54328, 60449, 51188, 51173, 51323, 51158, 51265, 51010, 51482, 52640, 50306, 53819, 50310, 61539, 50930, 51181, 52968, 51482, 51045, 51545, 55084, 51667, 72114, 79619, 50803, 65293, 51181, 52865, 54972, 55996, 51482, 50880, 51265, 50811, 51667, 68126, 78397, 70463, 50930, 51181, 52952, 51188, 51294, 51323, 51294, 51482, 50882, 51265, 50823, 52376, 78567, 67587, 50950, 72859, 51181, 52466, 54972, 57915, 51482, 70341, 52717, 50306, 80197, 53819, 50313, 50962, 51181, 52768, 51482, 51014, 51545, 50976, 52376, 79977, 51998, 74789, 50989, 50823, 51181, 52865, 54972, 58150, 51482, 50880, 51265 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 2125, 19, 15855, 16882, 6, 4246, 21072, 6, 3152, 6757, 6, 13305, 6, 8, 3459, 29589, 4, 8504, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 1328, 63, 9712, 5933, 4, 20, 16331, 33215, 16739, 9, 1918, 8, 211, 406, 31473, 10, 1472, 9, 30234, 6, 150, 5, 1374, 6711, 7630, 6568, 6453, 9, 11098, 6, 10563, 6, 8, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50438, 51981, 71492, 51825, 54803, 51457, 54385, 51981, 62174, 51825, 76888, 53001, 50825, 50799, 52287, 51060, 51171, 51134, 58285, 59504, 76878, 52468, 51679, 51451, 51108, 51256, 51097, 51229, 51679, 50420, 53171, 52382, 50426, 51478, 51492, 53763, 50432, 51332, 51623, 51037, 51790, 50979, 51591, 50847, 51742, 53046, 51742, 52000, 51680, 51772, 51803, 51209, 52783, 52320, 50864, 51453, 51210, 62870, 51134, 79062, 76878, 51007, 51134, 52000, 51679, 51322, 51679, 51229, 51679, 51390, 51679, 51544, 62050, 50946, 51452, 50868, 51452, 50847, 51452, 51007, 51452, 51664, 52168, 51366, 52168, 51209, 52168, 51390, 52168, 50438, 52109, 51286, 51981, 59791, 51327, 64860, 51414, 52201, 77219, 51231, 55163, 50971, 76675, 50917, 51171, 51134, 58285, 59504, 76878, 52468, 51679, 51451, 51108, 51256, 51097, 51229, 51679, 50420, 51981, 51977, 51544, 54150, 51332, 51623, 51037, 51790, 50979, 51591, 50847, 51742, 53046, 51742, 52000, 51680, 51772, 51803, 51209, 52783, 50450, 51249, 50901, 52558, 50456, 51327, 54042, 50984, 50799, 51981, 51121, 51037, 51134, 79062, 76878, 51007, 51134, 52000, 51679, 51322, 51679, 51229, 51679, 51390, 51679, 50420, 51327, 71662, 51249, 57629, 51981, 51100, 61814, 51327, 50977, 50946, 51452, 50868, 51452, 50847, 51452, 51007, 51452, 51664, 52168, 51366, 52168, 51209, 52168, 51390, 52168, 52365, 54248, 52365, 53442, 51231, 50879, 52365, 55933, 51249, 50879, 51898, 51138, 60671, 54754, 50830, 51913, 64077, 51485, 50952, 57350, 50938, 52705, 51122, 51010, 51648, 50952, 50453, 51224, 53650, 54595, 50859, 51509, 53841, 50387, 53183, 50880, 51713, 50859, 52288, 51204, 52334, 51505, 52067, 50975, 51993, 57169, 50948, 51340, 52054, 50374, 56424, 51380, 51683, 51286, 52002, 59216, 51303, 50854, 51249, 50812, 51327, 50822, 50872, 60303, 50867, 59178, 51509, 50921, 53689, 50948, 51633, 57321, 51049, 50925, 51236, 51121, 78012, 51913, 50806, 51713, 57359, 69741, 53808, 51173, 51579, 51505, 52113, 50806, 52219, 51102, 60789, 50604, 50827, 52310, 50923, 51776, 51505, 56107, 66914, 51033, 54407, 53779, 51679, 50444, 51303, 73879, 50833, 51327, 50925, 50872, 58434, 64705, 50867, 51485, 50923, 57929, 51192, 52135, 51173, 51170, 50838, 52103, 50923, 51648, 50923, 51899, 52153, 50959, 51240, 55641, 56838, 51509, 51483, 53689, 51500, 51633, 51379, 51240, 61350, 51123, 51913, 51653, 51713, 51483, 53596, 65221, 55968, 50942, 53779, 73318, 52102, 50862, 51303, 50867, 51249, 50857, 51327, 50813, 69411, 51829, 65451, 58243, 61937, 50813, 51694, 51049, 50955, 51236, 50977, 50913, 55100, 52102, 51790, 51465, 51452, 51231, 51742, 51327, 51452, 51069, 50867, 51676, 51452, 51829, 51452, 50868, 51183, 50847, 51244, 50909, 51145, 51577, 51102, 51365, 53231, 52691, 51069, 68113, 55043, 50977, 53779, 51961, 50444, 53689, 50811, 51485, 50890, 51667, 66204, 52192, 52103, 50859, 51648, 54755, 54595, 50930, 51431, 50930, 51667, 52390, 52189, 50937, 51240, 67224, 50984, 52851, 50859, 51683, 61702, 53689, 50880, 51485, 50890, 52135, 50821, 52103, 50854, 51648, 54663, 51011, 50904, 52334, 50950, 79430, 51633, 51033, 51240, 50972, 50913, 51524, 51913, 50858, 51713, 50803, 52288, 51204, 52334, 50911, 52067, 50795, 51993, 65426, 56214, 50910, 53779, 50932, 51683, 51505, 52002, 50795, 52306, 57487, 53808, 50806, 51579, 50795, 52113, 50911, 52310, 50937, 51776, 50795, 53170, 68907, 51303, 50854, 51249, 50812, 51327, 50822, 57896, 55119, 59178, 53689, 50879, 51509, 51060, 51633, 65678, 55417, 62862, 69046, 50984, 51913, 50936, 51713, 51060, 52002, 52309, 69741, 51579, 51192, 53808, 51175, 52113, 51286, 52219, 51102, 51524, 53231, 50827, 52310, 51500, 51776, 51192, 53170, 51167, 56107, 66914, 55043, 50977, 53779, 51961, 50444, 51303, 73879, 50833, 51327, 50925, 50872, 58434, 50857, 59178, 57929, 51173, 51485, 51286, 52135, 51192, 51170, 51737, 52103, 51175, 51648, 51286, 51713, 51505, 51899, 52153, 73893, 51008, 50913, 55346, 53689, 51573, 51509, 50983, 51633, 51573, 51240, 51884, 50913, 51862, 51913, 51343, 51713, 50983, 52002, 51496, 53596, 65221, 54444, 50897, 53779, 73318, 52102, 50862, 51303, 50867, 51249, 50857, 51327, 50813, 69411, 51829, 65451, 57955, 57511, 53803, 53689, 50806, 51485, 51121, 52135, 77065, 52189, 50897, 51236, 50917, 50913, 51022, 52103, 51100, 51648, 51121, 51713, 70756, 52102, 51790, 51465, 51452, 51231, 51742, 51327, 51452, 51069, 50867, 51676, 51452, 51829, 51452, 50868, 51148, 50847, 51148, 50909, 51397, 54595, 50893, 51431, 51121, 51667, 50805, 52219, 51102, 52179, 53231, 50827, 52851, 50901, 51683, 50873, 51888, 59894, 51069, 51189, 51898, 51173, 57350, 51427, 51831, 51060, 55313, 50910, 53779, 51542, 52664, 51167, 51913, 51173, 51683, 55186, 50816, 50942, 51170, 51254, 51899, 51508, 50910, 51240, 64099, 56773, 51011, 71402, 50978, 50913, 51269, 76675, 51097, 51457, 50995, 51825, 51283, 50927, 68393, 50948, 51340, 52054, 50374, 56424, 78804, 52753, 50887, 51855, 58521, 50810, 56105, 50909, 56758, 51049, 50925, 51236, 51121, 50913, 55100, 51231, 53577, 51327, 51637, 51818, 50983, 69741, 52088, 50879, 52219, 51102, 60789, 50604, 52788, 50964, 51291, 51813, 76010, 51033, 54407, 53779, 51679, 50444, 52088, 67981, 50810, 56105, 50909, 64400, 50838, 51899, 52153, 50959, 51240, 55641, 56838, 51249, 52441, 51457, 52136, 51825, 51314, 51855, 51454, 51240, 61350, 51123, 53596, 65221, 55968, 50942, 53779, 73318, 52088, 50948, 51694, 51049, 50955, 51236, 50977, 50913, 55100, 51231, 51878, 52109, 51314, 51818, 51148, 51069, 50867, 51813, 51364, 51577, 51102, 51365, 53231, 52691, 51069, 68113, 55043, 50977, 53779, 51961, 50444, 51170, 52192, 51899, 52189, 50937, 51240, 67224, 56838, 51011, 71402, 50972, 50913, 51524, 76675, 51333, 51327, 51662, 51825, 51679, 50927, 51204, 77644, 50909, 51191, 51257, 58307, 56214, 50910, 53779, 54869, 51855, 50948, 51007, 53228, 55417, 62862, 69046, 55238, 51231, 52136, 51818, 51148, 69741, 52077, 50901, 52219, 51102, 51524, 53231, 52788, 50964, 51291, 51882, 51111, 58570, 50847, 63725, 54436, 55043, 50977, 53779, 51961, 50444, 52077, 51110, 76881, 63725, 61944, 51737, 50450, 51855, 52108, 52153, 73893, 51008, 50913, 55346, 51303, 52598, 51414, 52263, 51457, 52598, 51813, 51159, 51240, 51884, 50913, 51862, 53596, 65221, 54444, 50897, 53779, 73318, 52088, 50940, 51694, 52189, 50897, 51236, 50917, 50913, 55011, 51465, 52407, 51249, 51448, 52109, 51397, 51069, 50867, 51855, 51285, 52219, 51102, 52179, 53231, 52788, 51069, 51189, 55313, 50910, 53779, 51542, 50444, 51170, 51254, 51899, 51508, 50910, 51240, 64099, 56773, 51011, 71402, 50978, 50913, 51269, 76675, 51961, 51457, 52441, 51825, 51965, 50927, 68393, 50948, 51340, 50792, 50605, 78804, 51855, 56674, 50810, 56105, 50909, 56758, 51049, 50925, 51236, 51121, 50913, 55100, 51231, 52136, 51327, 51627, 51818, 51477, 69741, 52088, 50806, 52219, 51102, 60789, 50604, 52788, 50964, 51291, 51813, 74039, 51033, 54407, 53779, 51679, 50444, 52088, 51227, 50872, 50810, 56105, 50909, 64400, 50838, 51899, 52153, 50959, 51240, 55641, 56838, 51249, 52519, 51457, 51637, 51825, 51244, 51855, 51055, 51240, 61350, 51123, 53596, 65221, 55968, 50942, 53779, 73318, 52088, 51048, 51694, 51049, 50955, 51236, 50977, 50913, 55100, 51231, 51878, 52109, 51115, 51818, 51535, 51069, 50867 ]

[ 0, 4688, 20425, 8, 15352, 30054, 3152, 8, 5175, 24904, 1349, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 1769, 20889, 9, 19376, 163, 5683, 4, 2306, 9756, 29589, 6, 21072, 6, 13305, 6, 8, 2003, 38704, 31365, 25999, 1305, 5, 2214, 556, 6, 150, 12577, 12167, 2369, 3038, 1606, 41, 7152, 10619, 4, 20, 6711, 25935, 1626, 227, 2933, 8, 1372, 6, 19, 10, 11602, 9, 980, 219, 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 ]

[ 58402, 64906, 52024, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 57314, 51453, 50805, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 76375, 50852, 56151, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 57314, 51453, 50805, 51528, 57314, 51039, 50805, 52389, 57314, 51361, 50805, 51450, 57314, 51180, 52596, 50798, 76375, 50852, 56151, 50799, 61092, 51654, 57314, 51039, 52483, 61092, 53769, 57314, 51361, 52446, 61092, 51654, 57314, 51180, 52596, 61092, 51654, 76375, 56293, 54881, 50805, 51528, 71510, 56293, 52201, 52483, 56293, 51654, 76374, 56293, 52201, 52446, 56293, 51654, 57314, 51180, 52596, 56381, 53769, 76375, 50852, 56151, 50799, 62423, 50805, 56167, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 56167, 53769, 76374, 62423, 52201, 52446, 62423, 50805, 56167, 51654, 76464, 62423, 77504, 62423, 50805, 56167, 51654, 76375, 62423, 50805, 56293, 54881, 50805, 50799, 67060, 51654, 71510, 67060, 50805, 56293, 52201, 52483, 67060, 50805, 56293, 51654, 76374, 67060, 50805, 56293, 52201, 52446, 67060, 50805, 56293, 51654, 76464, 67060, 77504, 67060, 50805, 56381, 53769, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 51654, 71510, 60100, 52201, 52483, 60100, 50805, 61092, 52504, 76374, 60100, 50805, 61092, 52201, 52446, 60100, 50805, 61092, 51654, 76464, 60100, 50805, 61092, 77504, 60100, 50805, 61092, 52504, 76375, 60100, 50805, 58166, 57314, 50799, 60100, 50805, 61092, 51654, 71510, 60100, 50805, 61092, 78464, 52483, 60100, 52504, 76374, 60100, 52201, 52446, 60100, 51654, 76464, 60100, 77504, 57755, 52504, 76375, 53441, 52472, 56151, 50799, 62423, 51654, 71510, 62423, 52201, 52483, 62423, 50805, 61092, 52504, 76374, 62423, 50805, 61092, 52201, 52446, 62423, 50805, 61092, 51654, 76464, 62423, 50805, 61092, 77504, 62423, 50805, 61092, 52504, 76375, 62423, 50805, 58166, 71109, 50805, 50799, 67060, 51654, 71510, 67060, 52201, 52483, 67060, 50805, 61092, 73321, 76374, 67060, 52201, 52446, 67060, 51654, 76464, 67060, 77504, 67060, 52504, 76375, 67060, 52472, 56151, 50799, 60100, 50805, 61092, 50805, 64906, 52024, 50798, 55385, 60100, 52483, 60100, 50805, 61092, 53769, 55112, 60100, 52446, 60100, 50805, 61092, 51654, 55480, 60100, 52596, 60100, 50805, 61092, 51654, 55069, 60100, 50805, 56293, 50889, 50799, 60100, 51654, 55385, 60100, 50805, 56293, 52483, 60100, 50805, 56293, 51654, 55112, 60100, 50805, 56293, 52446, 60100, 50805, 56293, 51654, 55480, 60100, 52596, 57755, 50805, 61092, 53769, 55069, 53441, 50805, 50799, 62423, 50805, 56167, 51654, 55385, 62423, 52483, 62423, 50805, 56167, 53769, 55112, 62423, 52446, 62423, 50805, 56167, 51654, 55480, 62423, 52596, 62423, 50805, 56167, 51654, 55069, 62423, 50805, 56293, 50889, 50799, 67060, 51654, 55385, 67060, 50805, 56293, 52483, 67060, 50805, 56293, 51654, 55112, 67060, 50805, 56293, 52446, 67060, 50805, 56293, 51654, 55480, 67060, 52596, 67060, 50805, 56381, 53769, 55069, 67060, 50805, 50799, 53483, 51141, 61616, 58673, 50889, 52389, 55112, 51847, 51141, 51450, 55082, 51494, 57394, 50889, 50799, 61616, 58673, 55385, 51119, 51991, 52389, 50889, 51450, 55082, 50798, 50889, 50799, 53483, 51141, 61616, 58673, 50889, 52389, 55112, 51847, 51141, 51450, 55082, 51512, 57394, 50889, 50799, 61616, 58673, 55385, 51494, 51991, 52389, 50889, 51450, 55082, 50798, 50889, 50799, 53483, 51141, 61616, 53769, 54243, 61616, 51654, 55112, 51847, 68499, 61616, 51654, 55480, 61616, 52741, 51494, 51141, 61616, 59103, 50889, 50799, 61616, 53769, 55385, 51119, 51991, 50426, 61616, 76287, 64317, 53912, 56293, 51116, 50447, 60985, 66313, 56293, 50805, 50799, 69757, 69757, 77795, 77795, 51823, 50805, 51823, 50805, 60100, 50805, 53483, 51141, 60985, 51654, 69834, 58454, 50889, 53440, 53066, 69757, 77795, 51823, 50805, 78612, 51943, 50889, 51823, 50889, 60100, 50805, 59441, 51077, 50843, 54347, 50843, 52654, 69757, 77795, 51823, 50805, 60100, 52504, 52409, 52001, 70673, 50889, 53764, 52658, 69757, 69757, 77795, 77795, 51823, 50805, 51823, 50805, 60100, 50805, 51847, 51141, 50843, 54112, 50843, 52729, 56718, 69885, 75121, 74187, 75503, 51323, 50889, 53441, 51654, 69834, 70673, 50889, 54268, 53103, 56718, 69885, 75121, 53441, 55185, 54803, 50843, 52843, 56718, 56718, 69885, 69885, 75121, 75121, 53441, 50805, 51494, 53090, 50816, 52409, 52001, 70673, 50889, 54710, 52863, 56718, 56718, 69885, 69885, 75121, 75121, 53441, 55185, 54678, 50843, 50810, 50799, 64030, 57300, 64606, 51200, 71685, 62423, 51654, 69834, 58454, 50889 ]

[ 0, 250, 20902, 3495, 12, 9144, 2214, 14, 22750, 1626, 11098, 8, 10563, 6, 4246, 21979, 8, 3459, 29589, 6, 13305, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 19446, 13410, 228, 2289, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 15352, 30054, 15229, 6, 278, 11, 5, 762, 9, 230, 538, 6, 24536, 10, 33215, 13931, 9, 1918, 6, 230, 406, 6, 211, 119, 6, 274, 119, 1176, 406, 6, 8, 272, 401, 6, 1271, 7, 63, 17627, 17274, 2365, 8, 1619, 12, 14694, 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 ]

[ 54458, 50799, 51468, 55057, 53569, 50843, 51258, 51899, 52942, 63820, 50801, 50828, 52894, 51204, 50946, 51932, 50872, 51541, 50885, 51541, 53760, 51241, 57372, 70567, 51294, 50876, 51226, 62810, 59756, 51920, 52767, 51132, 57954, 51500, 50946, 51735, 50872, 51566, 53760, 55937, 68344, 51710, 50325, 50924, 54908, 51346, 51915, 51377, 76066, 50861, 71676, 60021, 51042, 71305, 50980, 59431, 50871, 51573, 50931, 51343, 50450, 51416, 57680, 50940, 51915, 59451, 55019, 53137, 50946, 51552, 50872, 52097, 54468, 51091, 52331, 51191, 57372, 78751, 51226, 51028, 51294, 62810, 56949, 53498, 52818, 51349, 59157, 51066, 51017, 51345, 50872, 51290, 52331, 55944, 71306, 51710, 50325, 50924, 63706, 51056, 51726, 51109, 50856, 63484, 50940, 74242, 58463, 55868, 66191, 71142, 52369, 50931, 51941, 50450, 52474, 63296, 51033, 51726, 59451, 52990, 53217, 50848, 51300, 50872, 51196, 54983, 51091, 51037, 51932, 52447, 51191, 58135, 52712, 51037, 62283, 52893, 52767, 51526, 51112, 51037, 51735, 50848, 51566, 50872, 51048, 52447, 70013, 53442, 66904, 50997, 50975, 50951, 51388, 51081, 51388, 50444, 51349, 50917, 50946, 50911, 52331, 66699, 61312, 51027, 51175, 50931, 51158, 50999, 69323, 51526, 50917, 51037, 50923, 52447, 63305, 53498, 58686, 50997, 51379, 50951, 51173, 51081, 52931, 51910, 67045, 50860, 53180, 50892, 54920, 51294, 50988, 51603, 50868, 51541, 50885, 51894, 51915, 51204, 50816, 52893, 73355, 52282, 50968, 52282, 50951, 52282, 51062, 52282, 50423, 50816, 52712, 50988, 63250, 52265, 51416, 50977, 50988, 51336, 50868, 52282, 51915, 69237, 50820, 54908, 51111, 51915, 51121, 51206, 54715, 53641, 51684, 50849, 51482, 50901, 51206, 53617, 57297, 52474, 51121, 51726, 51101, 61289, 50835, 71596, 50915, 52832, 51221, 50885, 51160, 50946, 51364, 79274, 51425, 50807, 62273, 50839, 52399, 52992, 51667, 50991, 61781, 55359, 53063, 52584, 56729, 51227, 50946, 51189, 50872, 51218, 51425, 50879, 64234, 57352, 51652, 50897, 54908, 51423, 51915, 51178, 74264, 51831, 51110, 50885, 50897, 69443, 52802, 51416, 51312, 50885, 51235, 50946, 51056, 76158, 51915, 51157, 54680, 61250, 54103, 51391, 58201, 50837, 54468, 51003, 51017, 51227, 50946, 51295, 50868, 51364, 52331, 51013, 71280, 52399, 52641, 51667, 50897, 51017, 50878, 55605, 52417, 51349, 50901, 51652, 51162, 51017, 51345, 50946, 51218, 50868, 51141, 52331, 50879, 61651, 50835, 63706, 51043, 51726, 50967, 76924, 51831, 50915, 51017, 50866, 61651, 52772, 52474, 55077, 50925, 50946, 51109, 51017, 51048, 51726, 52108, 51041, 52920, 52585, 50972, 52191, 50845, 68637, 50870, 57958, 51241, 50872, 51073, 50848, 51141, 50850, 51343, 51482, 51226, 52453, 50834, 52399, 52917, 59458, 55605, 53063, 51684, 51056, 51667, 50890, 61375, 66552, 73484, 51482, 51290, 66717, 52621, 51667, 50893, 76924, 51684, 51006, 51721, 50809, 59305, 51482, 50977, 61651, 52846, 51349, 50845, 51667, 50890, 69385, 50872, 51073, 77644, 52331, 50879, 55605, 52920, 51181, 50972, 51643, 51285, 56223, 57290, 50837, 52894, 51380, 50979, 51048, 50885, 51189, 75707, 53760, 51056, 52321, 50834, 52399, 52917, 51132, 51470, 50979, 50866, 53760, 50978, 55605, 53063, 51416, 51400, 51721, 50940, 66552, 50979, 51346, 50885, 51218, 51915, 51345, 64234, 52742, 51667, 50879, 76924, 52584, 51058, 51652, 50925, 78134, 71896, 66717, 52805, 51416, 50937, 51831, 51221, 67386, 50979, 65292, 50889, 51915, 50948, 55605, 53017, 51910, 67678, 50910, 67759, 53180, 50849, 78826, 50829, 54983, 51241, 51652, 51343, 50872, 76800, 51141, 50939, 51364, 52447, 51362, 52321, 50834, 52399, 52872, 61523, 54680, 59651, 51831, 56799, 51526, 56204, 51157, 50848, 51295, 50939, 51189, 52447, 50879, 69443, 52766, 51132, 51542, 51831, 51141, 53760, 51241, 61974, 60942, 64234, 52743, 60893, 50872, 51227, 50939, 51623, 55605, 53017, 51349, 55711, 50897, 52331, 59964, 50835, 54983, 51419, 50848, 51218, 50872, 51189, 52447, 51191, 51897, 50834, 52399, 52641, 52457, 50897, 54680, 52953, 51526, 51400, 52457, 50952, 50939, 50952, 73484, 50848, 51189, 52447, 51345, 64234, 52621, 52457, 50924, 76924, 51349, 50845, 52376, 50940, 61395, 52331, 50879, 64234, 52743, 51526, 50972, 51831, 50948, 61325, 50872, 51227, 50939, 51290, 52447, 50901, 56319, 53137, 51910, 50866, 61995, 53180, 50865, 65043, 50825, 54920, 50914, 51667, 51496, 50885, 51048, 50988, 51189, 50868, 51496, 51915, 50896, 52321, 50829, 52399, 52976, 67386, 55605, 52953, 51416, 50938, 51652, 50897, 50885, 51227, 50988, 51189, 50868, 51358, 51915, 51030, 69443, 52766, 51137, 50915, 51652, 51285, 54117, 50807, 51471, 58463, 50977, 61651, 52763, 63919, 50885, 50924, 56319, 53017, 51137, 50977, 50988, 79502, 50938, 54117, 58786, 50834, 54920, 51391, 50885, 51345, 50988, 51189, 50868, 51141, 51915, 51204, 63970, 53405, 50816, 52928, 50885, 56466, 56171, 52376, 51388, 50432, 51416, 58310, 50938, 50988, 56291, 50943, 51915, 53757, 53294, 51137, 51109, 52457, 51215, 74102, 50885, 50938, 54117, 68629, 54586, 75732, 50885, 66608, 52504, 56385, 51640, 51380, 54103, 50967, 50885, 51033, 50988, 50948, 63060, 62422, 70229, 50949, 54706, 55891, 50988, 51030, 50885, 78784, 51030, 51326, 50828, 52894, 51003, 52832, 51354, 50885, 51500, 50946, 51362, 50872, 51343, 53760, 51013, 52321, 57112, 50895, 52399, 52992, 51667, 51932, 77922, 55359, 53063, 51132, 55109, 50980, 50946, 51091, 79274, 53760, 50893, 64234, 50834, 54908, 51411, 51652, 50940, 51915, 51346, 74264, 51831, 51160, 67693, 69443, 52802, 51416, 51377, 50885, 51500, 50946, 51073, 50872, 51048, 51915, 51227, 54680, 53268, 50843, 59044, 54103, 51191, 54468, 51003, 51017, 51290, 50946, 51189, 50868, 51496, 52331, 51013, 71280, 52399, 52641, 51667, 50980, 51017, 50959, 55605, 55477, 51652, 52975, 51349, 62361, 51345, 50946, 78775, 51364, 52331, 50879, 61651, 50835, 63706, 51221, 51652, 50952, 51726, 51235, 76924, 51831, 50943, 51017, 50959, 61651, 52772, 52474, 50937, 51017, 50938, 50946, 55905, 50974, 51726, 50948, 53659, 52920, 52585, 50987, 50868, 50952, 50946, 50924, 51017, 50948, 52191, 50938, 68637, 50870, 57958, 51091, 50848, 51055, 50946, 50983, 79274, 51482, 51745, 52453, 50834, 52399, 52917, 61375, 55605, 53063, 51349, 50967, 51667, 61631, 51238, 50946, 51189, 50872, 51141, 52331, 51354, 66717, 52621, 51667, 50923, 76924, 51349, 50865, 51721, 50859, 59081, 52331, 51021, 61651, 52846, 51684, 50910, 51667, 50880, 74241, 59379, 50872, 51377, 51482, 51033, 55605, 52920, 51137, 50917, 51643, 51496, 50946, 50959, 59081, 54117, 63556, 50837, 52894, 51204, 50979, 50991, 50885, 51191, 50850, 51364, 53760, 51541, 52321, 50834, 52399, 52917, 51721, 51345, 50979, 51058, 55605, 53063, 51416, 72092, 51345, 50885, 51091, 50850, 51661, 51915, 51483, 64234, 52742, 51667, 51021, 76924, 52584, 50937, 51652, 50897, 50979, 51218, 51425, 50948, 66717, 52805, 51416, 50938, 51831, 50967, 50885, 50807, 51915, 51030, 55605, 53017, 51910, 59590, 51173, 53180, 50936, 78826, 50829, 54983, 50807, 51652, 51573, 50848, 50980, 51037, 50983, 50872, 51343, 52447, 51237, 52321, 50834, 52399, 52872, 59081, 54680, 59651, 51831, 53627, 51526, 50830, 50848, 50980, 51037, 50983, 79274, 52447, 51014, 69443, 57405, 51831, 51661, 57097, 50942, 53760, 50952, 61974, 51132, 51221, 67102, 53760, 51160, 64234, 52743, 51037, 50878, 50848 ]

[ 0, 250, 182, 765, 37903, 9, 15855, 8, 5175, 930, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 182, 1769, 20889, 9, 8963, 13410, 228, 2289, 6, 7630, 14805, 10, 25306, 6, 2933, 6, 8, 9066, 6711, 19, 10, 881, 21263, 9, 5, 163, 43531, 1176, 406, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 51001, 54869, 50951, 54498, 50931, 54980, 50906, 50932, 57923, 54869, 51001, 54498, 51001, 54980, 50902, 53581, 50876, 50838, 55694, 54177, 50876, 52688, 50902, 53052, 51001, 52718, 51001, 53624, 51001, 54980, 50902, 56109, 51001, 50932, 55746, 50951, 55665, 50931, 54498, 50906, 56350, 51001, 52985, 51001, 53581, 51001, 50932, 52591, 50902, 52688, 50876, 53052, 50906, 52718, 50876, 53624, 50902, 52985, 51001, 53581, 51001, 50932, 52591, 51001, 55665, 50902, 56350, 51001, 50932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 11, 10, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 24, 1575, 10, 5544, 14123, 24943, 217, 10, 20535, 483, 6, 3459, 8669, 6, 13305, 6, 3459, 9590, 6, 8, 10, 16141, 486, 118, 9877, 483, 4, 20, 2125, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 272, 6, 1918, 6, 230, 6, 272, 6, 8, 274, 6, 8216, 7, 63, 15352, 30054, 8, 17627, 17274, 5466, 6, 150, 67, 7630, 14805, 10, 1472, 9, 2635, 12, 20764, 6, 177, 12, 3341, 9733, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 74080, 77873, 51438, 55656, 51788, 56626, 55543, 56180, 51316, 51381, 61777, 57940, 51788, 55514, 51438, 57131, 61777, 50933, 68892, 51381, 62364, 61378, 51788, 55656, 51438, 56626, 62364, 56180, 51076, 51381, 53568, 57940, 51563, 55514, 51067, 57131, 53568, 50933, 50799, 51064, 51680, 51788, 61378, 51438, 55656, 51067, 56626, 51438, 51484, 50444, 51788, 55514, 51438, 57131, 51067, 50933, 69146, 50933, 51032, 50933, 67349, 50933, 57761, 51627, 51067, 50933, 61167, 55656, 51067, 51627, 61167, 51627, 50444, 50960, 64043, 50947, 52989, 51064, 57131, 79504, 61894, 51381, 61167, 51381, 57894, 53233, 55496, 51680, 55775, 51680, 50420, 51067, 55656, 51438, 56626, 51788, 56180, 51316, 51381, 61777, 50933, 50725, 50305, 51381, 50444, 51788, 55514, 51438, 57131, 61777, 50933, 68892, 51381, 62364, 50933, 55093, 51680, 55496, 51680, 50420, 51788, 55656, 51438, 56626, 62364, 56180, 51076, 51381, 53568, 50933, 56783, 51381, 50444, 51563, 55514, 51067, 57131, 53568, 50933, 50799, 51064, 51680, 51788, 50933, 73407, 51680, 62582, 51680, 55093, 51680, 55496, 51680, 50420, 51438, 55656, 51067, 56626, 51438, 51484, 50444, 51788, 55514, 51438, 57131, 51067, 50933, 69146, 50933, 51032, 50933, 61167, 50933, 56048, 50933, 56547, 50933, 55693, 50933, 57761, 50933, 51067, 50933, 61167, 51080, 55093, 51080, 55496, 51080, 55775, 62666, 50960, 51627, 51067, 51627, 50450, 50960, 57131, 71590, 66474, 51381, 62582, 51381, 56048, 51381, 55496, 51381, 55775, 77873, 50947, 55656, 51032, 56626, 51788, 56180, 50929, 51381, 53568, 50933, 56783, 51381, 55093, 51381, 55693, 51381, 62611, 51381, 50444, 51563, 55514, 51067, 57131, 53568, 50933, 50799, 51064, 51381, 51788, 50933, 61453, 51381, 55496, 51309, 57822, 51309, 56326, 70152, 51438, 55656, 51067, 50933, 55093, 50933, 55693, 50933, 56126, 56626, 51788, 50933, 57822, 56180, 50960, 51309, 51292, 50827, 57894, 51309, 55093, 51309, 55496, 51309, 55775, 51309, 50441, 51438, 53524, 51067, 55514, 50960, 57131, 71590, 69335, 50933, 56048, 50933, 55693, 50933, 57822, 50933, 66474, 51381, 51438, 50933, 62582, 51381, 56048, 51381, 55775, 51381, 56126, 77873, 51032, 55656, 50947, 56626, 51438, 56180, 50986, 51381, 53729, 50933, 69335, 51381, 56048, 51381, 55693, 51381, 56126, 51381, 50444, 51292, 55514, 51032, 57131, 53729, 50933, 60938, 50933, 73075, 51563, 51006, 53729, 50827, 56783, 50933, 56547, 50933, 55693, 50933, 56126, 50933, 50417, 53568, 54202, 65423, 51067, 50933, 51563, 50933, 53568, 50933, 56783, 50933, 55093, 50933, 62611, 50933, 56326, 55656, 50929, 51627, 51067, 51627, 51563, 51627, 53568, 51627, 56783, 51627, 55093, 51627, 62611, 51627, 56326, 51627, 50450, 50960, 57131, 71590, 66474, 51381, 62582, 51309, 56048, 51309, 55496, 51309, 55775, 70152, 50947, 55656, 51032, 50933, 62582, 50933, 55496, 50933, 55775, 50933, 56326, 56626, 51438, 50933, 62582, 50933, 56547, 50933, 55775, 50933, 56126, 56180, 50929, 51381, 53568, 50933, 56783, 50933, 56547, 50933, 55693, 50933, 56126, 57940, 51563, 50933, 56783, 50933, 55093, 50933, 55693, 50933, 62611, 55514, 51067, 50933, 56783, 51309, 56048, 50933, 55496, 50933, 55775, 57131, 53568, 50933, 61356, 50933, 55093, 50933, 55693, 50933, 50799, 51064, 51381, 51788, 50933, 61453, 51309, 55496, 51309, 57822, 51309, 56326, 70152, 51438, 55656, 51067, 50933, 61453, 50933, 55693, 50933, 57822, 50933, 56326, 56626, 51788, 50933, 56048, 50933, 55693, 50933, 56126, 50933, 60060, 56180, 50960, 51043, 51292, 50827, 55093, 51309, 55775, 51309, 56326, 51309, 61557, 51309, 50441, 51438, 54394, 51067, 55514, 50960, 57131, 71590, 60588, 50933, 66474, 51381, 62582, 51381, 55496, 51381, 56126, 51381, 61557, 77873, 50947, 55656, 51032, 56626, 51438, 56180, 50929, 51381, 56783, 51381, 55093, 51381, 62611, 51381, 60588, 51381, 50444, 51067, 55514, 51563, 57131, 53568, 50933, 50799, 51064, 50933, 51067, 50933, 51438, 50933, 51788, 50933, 57894, 50933, 55496, 50933, 55775, 50933, 56126, 61378, 51064, 50933, 51067, 50933, 51438, 50933, 51788, 50933, 61453, 50933, 55496, 50933, 57822, 50933, 56326, 55656, 51064, 51627, 51067, 51627, 51438, 51627, 51788, 51627, 61453, 51381, 55496, 51627, 57822, 51627, 56326, 51627, 50450, 53446, 57131, 53048, 50933, 50799, 53050, 51309, 51067, 51381, 61167, 77873, 51438, 55656, 53048, 50933, 51788, 56626, 53446, 50864, 55543, 65153, 53048, 64025, 51316, 51381, 61777, 50933, 50725, 50305, 51381, 50444, 51788, 55514, 51438, 72921, 53446, 53176, 61777, 65897, 53048, 50827, 50799, 53050, 50933, 51032, 51381, 62364, 50933, 67349, 77873, 52869, 50838, 51788, 55656, 52869, 50933, 51438, 56626, 53050, 50933, 62364, 56180, 53048, 50838, 51076, 51381, 53568, 50933, 50725, 50303, 72379, 53446, 50933, 51563, 55514, 53050, 50933, 51067, 57131, 52869, 50933, 53568, 50933, 50799, 53428, 51309, 51064, 51680, 51788, 50933, 73407, 51680, 50420, 51563, 55656, 52869, 50933, 51067, 56626, 53050, 50933, 51438, 79891, 53048, 57940, 53446, 50932, 51788, 55514, 51438, 57131, 51067, 62908, 53698, 50864, 50799, 53698, 50933, 71590, 51032, 50933, 51292, 50933, 67349, 61378, 53446, 51283, 72810, 51067, 50933, 51438, 50933, 61167, 55656, 50960, 51627, 51067, 51627, 51438, 51627, 61167, 51627, 50450, 53446, 57131, 53048, 50933, 50799, 53050, 51309, 51067, 51381, 61167, 51381, 57894, 51680, 55496, 51680, 55775, 51680, 50420, 51438, 55656, 53048, 50933, 51788, 56626, 53446, 50864, 55543, 65153, 53048, 64025, 51316, 51381, 61777, 50933, 50725, 50305, 51381, 50444, 51788, 55514, 51438, 72921, 53048, 53176, 61777, 65897, 53048, 50827, 50799, 53050, 51309, 51032, 51381, 62364, 50933, 67349, 51381, 57894, 51381, 55093, 51680, 55496, 51680, 50420, 51788, 55656, 52869, 50933, 51438, 56626, 53050, 50933, 62364, 56180, 53048, 50827, 51076, 51381, 53568, 50933, 50725, 50303, 51309, 56783, 51381, 50441, 53446, 56350, 51563, 55514, 51067, 72921, 53050, 53176, 53568, 65897, 52869, 50827, 50799, 53428, 51309, 51064, 51680, 51788, 50933, 73407, 51680, 62582, 51680, 55093, 51680, 55496, 51680, 50420, 51438, 55656, 52869, 50933, 51067, 56626, 53050, 50933, 51438, 79891, 53048, 72379, 51788, 55514, 53446, 50933, 51438, 57131, 53698, 50933, 51067, 50933, 50799, 53698, 50933, 71590, 51032, 50933, 51292, 50933, 67349, 50933, 56048, 50933, 56547, 50933, 55693, 61378, 53446, 50838, 72810, 51067, 50933, 51438, 50933, 61167, 50933, 55093, 50933, 55496, 50933, 55775, 55656, 53446, 51680, 50960, 51627, 51067, 51627, 51438, 51627, 61167, 51627, 55093, 51627, 55496, 51627, 55775, 51627, 66474, 51381, 62582, 77873, 50947, 55656, 53050, 50838, 51032, 56626, 53428, 50838, 51438, 56180, 52869, 51381, 50929, 51381, 53568, 50933, 56783, 51381, 50444, 51563, 55514, 51067, 57131, 51563, 50933, 50799, 52869, 50932, 51064, 51080, 51788, 50933, 56783, 77873, 51438, 55656, 52869, 50827, 51067, 71707, 53050, 50827, 62582, 53998, 53048, 50838, 51788, 50933, 69335, 56180, 53050, 50838, 51292, 50827, 62582, 51309, 50441, 51438, 53524, 53446, 50933, 51067, 71320, 53446, 50933, 50960, 57131, 53048, 50933, 71590, 56783, 50933, 50799, 53050, 50838, 50970, 51381, 51788, 50933, 57894, 77873, 52869, 50933, 51032, 55656, 53428, 50933, 51438, 56626, 52869, 50933, 51788, 56180, 52869, 50838, 50986, 51381, 53729, 50933, 56783, 51381, 50444, 53050 ]

[ 0, 250, 20902, 3495, 1619, 2214, 11, 230, 538, 6, 4246, 10, 856, 17993, 483, 7513, 30, 3459, 29589, 6, 9590, 6, 8, 18558, 4, 590, 10, 1372, 8, 33558, 6711, 6, 24, 3136, 23, 10, 27841, 139, 20889, 11, 204, 73, 306, 86, 6, 511, 10, 33215, 13931, 9, 274, 6, 230, 6, 274, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50639, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 50799, 51815, 51650, 53989, 54605, 51616, 70547, 57395, 51616, 62876, 52927, 51815, 52504, 53569, 51616, 51174, 58809, 54189, 51616, 70547, 56663, 51815, 52504, 53173, 51616, 51337, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 76060, 50799, 51815, 51650, 53989, 54605, 51616, 70547, 57395, 51616, 62876, 52927, 51815, 52504, 53569, 51616, 51174, 58809, 54189, 51616, 70547, 56663, 51815, 52504, 53173, 51616, 51337, 76060, 51755, 53989, 54605, 50816, 51258, 51694, 52927, 76060, 51658, 53989, 54189, 50816, 51258, 51899, 53173, 61652, 61969, 79831, 50799, 51815, 51650, 53989, 53576, 51616, 59386, 51616, 61724, 52818, 51815, 52446, 51616, 69655, 51616, 60333, 51815, 52732, 53137, 51616, 51051, 66844, 59288, 51815, 52483, 51616, 51174, 50843, 52818, 51616, 58946, 51763, 58709, 54322, 54947, 52047, 65220, 60374, 50816, 53003, 51763, 55182, 53759, 55423, 54322, 55162, 52047, 50978, 52354, 51191, 50872, 56011, 50866, 51815, 51650, 53989, 53796, 66834, 57392, 58056, 50420, 50850, 56144, 51006, 51616, 70547, 56402, 53356, 62039, 66552, 51616, 50972, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51815, 52504, 53796, 53569, 50964, 51191, 50872, 56011, 50866, 51616, 51174, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51616, 70547, 56402, 53421, 62039, 66552, 51815, 52108, 51239, 57399, 50909, 57939, 50850, 56144, 51006, 51616, 70547, 53796, 50982, 52354, 50943, 50872, 56011, 50866, 51616, 50972, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51815, 52504, 56402, 53356, 62039, 66552, 51616, 51174, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51616, 70547, 53796, 53569, 50964, 68931, 56011, 50866, 52159, 53530, 53989, 53796, 57477, 58056, 50441, 51282, 53086, 50850, 56144, 51006, 51118, 63305, 56402, 53421, 62039, 66552, 51083, 50938, 58413, 57399, 50909, 57939, 50850, 56144, 51006, 51118, 66610, 53796, 50982, 52354, 51241, 50872, 56011, 50866, 51815, 50795, 51256, 51151, 51451, 53142, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51616, 70547, 56402, 53356, 62039, 66552, 51616, 50972, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51815, 52504, 53796, 50982, 53357, 51159, 50872, 56011, 50866, 51616, 51174, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51616, 63445, 56402, 53421, 62039, 66552, 51616, 51166, 58413, 57399, 50909, 57939, 50945, 63752, 56144, 51006, 51616, 60162, 53796, 61969, 51451, 51878, 51366, 51397, 52534, 51351, 50868, 56238, 50866, 51763, 50892, 58809, 53796, 57392, 58056, 50420, 50847, 60046, 51006, 52047, 56466, 56402, 53356, 66581, 62486, 51282, 57652, 51239, 57334, 50909, 58466, 50847, 60046, 51006, 51401, 51365, 50816, 53796, 61562, 51451, 52829, 53357, 51116, 50872, 56011, 50866, 51616, 51562, 51256, 52122, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 64946, 56402, 53421, 50927, 50977, 62039, 66552, 58413, 57399, 50909, 57939, 50964, 50977, 50850, 56144, 64946, 53796, 50982, 52354, 51191, 50872, 56011, 50866, 51815, 50795, 55553, 50873, 74077, 50905, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51616, 51051, 59888, 51254, 55233, 64946, 56402, 53356, 62039, 66552, 51616, 50972, 59888, 51079, 55233, 50974, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51815, 50805, 74077, 50974, 55553, 57353, 53796, 53569, 50964, 51191, 50872, 56011, 50866, 51616, 51174, 55233, 51058, 59888, 51254, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51616, 51051, 55233, 51058, 59888, 68394, 56402, 53421, 62039, 66552, 51815, 50795, 74077, 50905, 55553, 57652, 51239, 57399, 50909, 57939, 50850, 56144, 51006, 51616, 51051, 55233, 51006, 59888, 68394, 53796, 50982, 52354, 50943, 50872, 56011, 50866, 51616, 50972, 55233, 50974, 59888, 51079, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51815, 50805, 74077, 50905, 55553, 57353, 56402, 53356, 62039, 66552, 51616, 51174, 55233, 51058, 59888, 51254, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51616, 51051, 55233, 51058, 59888, 68394, 53796, 53569, 50964, 68931, 56011, 50866, 52159, 50833, 70731, 53530, 53989, 53796, 57477, 58056, 50441, 69211, 55233, 53086, 50850, 56144, 51006, 51118, 50977, 53587, 63305, 56402, 53421, 62039, 66552, 51083, 50938, 53081, 50938, 58413, 57399, 50909, 57939, 50850, 56144, 51006, 51282, 50987, 55233, 66610, 53796, 50982, 52354, 51241, 50872, 56011, 50866, 51061, 50938, 51256, 51151, 51451, 52335, 54291, 50938, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51118, 51074, 53587, 77212, 56402, 53356, 62039, 66552, 71830, 53081, 56099, 51239, 57334, 50909, 58466, 50850, 56144, 51006, 51282, 51074, 55233, 77212, 53796, 50982, 53357, 51116, 50872, 56011, 50866, 51118, 50901, 53587, 50901, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 51006, 51083, 51006, 53081, 64946, 56402, 53421, 51069, 50977, 62039, 66552, 52159, 50873, 70731, 57652, 51239, 57399, 50909, 57939, 51096, 50977, 50850, 56144, 51006, 51282, 51074, 55233, 77212, 53796, 61969, 51451, 52263, 51366, 51397, 52534, 51255, 50868, 56238, 50866, 51118, 50845, 53587, 50845, 58809, 53796, 57392, 58056, 50420, 50847, 60046, 51006, 51083, 51254, 53081, 68394, 56402, 53356, 50964, 51255, 66581, 62486, 52159, 50845, 70731, 56466, 51239, 57334, 50909, 58466, 50847, 60046, 51006, 51401, 51074, 55553, 77212, 53796, 61562, 51451, 52204, 53357, 51241, 50872, 56011, 50866, 51616, 51115, 51256, 52122, 59888, 51115, 58809, 53796, 57477, 58056, 50444, 50850, 56144, 64946, 56402, 53421, 62039, 66552, 58413, 57399, 50909, 57939, 50850, 56144, 64946, 53796, 50982, 52534, 51241, 50872, 56011, 50866, 74077, 50905, 55553, 50873, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 55233, 51006, 59888, 68394, 56402, 53356, 62039, 66552, 55233, 50974, 59888, 51079, 58413, 57334, 50909, 58466, 50850, 56144, 51006, 51118, 50977, 55553, 50901, 74077, 63097, 53796, 50982, 53357, 50977, 50872, 56011, 50866, 51282, 51432, 55233, 51058, 59888, 51254, 58809, 53796, 57477, 58056, 50444, 63635, 50850, 56144, 51006, 51118, 50955, 55233, 51058, 59888, 68394, 56402, 53421, 50964, 51255, 62039, 66552, 51083, 50901, 74077, 50905, 55553, 57652, 51239, 57399, 50909, 57939, 50850, 56144, 51006, 51282, 51022, 55233, 51006, 59888, 68394, 53796, 50982, 52288, 51255, 50872, 56011, 50866, 51118, 51423, 51061, 50889, 55233, 50974, 59888, 51079, 58809, 53796, 57392, 58056, 50420, 50850, 56144, 51006, 51993, 51364, 74077, 50905, 55553, 57353, 51467, 53356, 51019, 51255, 62039, 66552, 51118, 50838, 55233, 51058, 59888, 68394, 53934, 50891, 67577, 58466, 50850, 56144, 51006, 51282, 51128, 59888, 51254, 55233, 67041, 53115, 50945, 51191, 50872, 56011, 50866, 51993, 51238, 58809, 53796, 66834, 58751, 50909, 55040, 50850, 56144, 64946, 56402, 53421, 76068 ]

[ 0, 250, 8787, 11057, 15229, 11, 12608, 538, 6, 42, 15352, 30054, 2125, 1931, 21683, 10, 12298, 1619, 4780, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 41, 21979, 9590, 6, 8669, 6, 326, 5638, 18026, 6, 8, 6755, 12547, 6, 70, 11491, 13871, 561, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 20, 16331, 33215, 16739, 9, 274, 119, 406, 6, 163, 428, 406, 6, 8, 12608, 401, 31473, 10, 1472, 9, 30234, 1328, 5, 2125, 6, 150, 5, 1374, 6711, 16, 65, 9, 11098, 8, 5823, 6, 442, 24, 41, 5631, 3618, 1349, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50442, 50634, 51528, 54553, 64176, 50424, 51702, 50824, 51768, 62445, 51556, 50907, 51450, 59280, 50439, 51866, 51021, 51955, 51373, 58974, 52377, 51505, 74263, 50460, 52178, 51285, 55970, 51047, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 68594, 51556, 55707, 51261, 78711, 59280, 50439, 52194, 60919, 51317, 50822, 51207, 51210, 50903, 51373, 60142, 54006, 50976, 50459, 76497, 51916, 76519, 53397, 51732, 56451, 51115, 50900, 51314, 79173, 50965, 51314, 51001, 51314, 56889, 51504, 50984, 50986, 59904, 51373, 54378, 51150, 53330, 55707, 51868, 51148, 51086, 51314, 79173, 50906, 51314, 51001, 51314, 50951, 74744, 59280, 50450, 51311, 50984, 50970, 53948, 59280, 74263, 53788, 51183, 50997, 51314, 50956, 51314, 50861, 51314, 50876, 51314, 56889, 51246, 50984, 51136, 59904, 68594, 51556, 54584, 51140, 51448, 50900, 51703, 50871, 52212, 50931, 74188, 65642, 50439, 50956, 51314, 50440, 50877, 54557, 78202, 67647, 51136, 62290, 76579, 50459, 51668, 54791, 50851, 54204, 51310, 51176, 51449, 50997, 51449, 51040, 51449, 50871, 73506, 65642, 50423, 51702, 75190, 51846, 50984, 51317, 59904, 51589, 54112, 51261, 50977, 53978, 60116, 51477, 51866, 56562, 59280, 50450, 52377, 51483, 51317, 50822, 51846, 51210, 50903, 51373, 54678, 51140, 50874, 52178, 51196, 53673, 55970, 51535, 51040, 51449, 50871, 51449, 50861, 51449, 50906, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 51589, 59662, 51261, 50901, 51556, 55707, 51930, 54788, 59280, 50439, 52194, 61409, 51261, 55178, 51560, 51159, 51317, 50822, 51207, 51210, 50903, 51373, 58974, 54006, 51095, 74263, 50460, 53397, 51196, 56451, 51103, 50900, 51449, 50871, 51449, 50965, 51449, 51001, 73506, 59280, 50426, 51504, 50984, 50986, 59904, 51589, 69636, 51022, 51450, 59280, 50439, 51560, 51562, 54006, 72551, 52194, 51192, 64268, 51504, 51210, 50903, 52938, 54421, 52194, 52282, 53673, 53202, 51419, 50956, 52335, 50965, 52335, 50876, 52335, 50951, 52335, 50798, 59280, 50426, 51136, 62290, 51589, 54125, 70052, 53978, 57385, 51058, 51846, 54060, 51136, 53970, 59280, 50447, 51150, 56060, 51668, 50915, 52194, 50975, 51846, 50844, 51136, 67055, 52938, 54421, 51040, 51449, 50965, 51449, 50906, 51449, 50931, 51449, 53673, 50460, 54006, 51009, 54204, 68432, 50851, 56889, 51846, 50984, 51317, 59904, 51589, 54112, 51261, 50977, 53978, 60116, 73202, 59280, 50439, 52194, 65399, 51317, 50822, 51846, 51210, 50903, 51373, 60142, 52178, 64503, 51140, 50874, 53673, 50460, 52178, 51055, 55970, 51145, 51040, 51449, 50861, 51449, 50906, 51449, 50931, 73506, 59280, 50424, 52377, 55834, 51207, 50984, 51317, 59904, 51589, 69636, 55707, 51261, 61619, 59280, 50450, 52178, 51483, 51317, 50822, 51207, 51210, 50903, 53330, 54421, 52194, 54430, 53673, 56451, 51448, 50900, 51314, 50956, 51314, 79173, 50965, 74744, 50851, 56889, 51504, 50984, 50986, 59904, 51373, 54125, 51930, 50874, 73216, 51868, 51148, 51086, 51314, 79173, 50906, 51314, 51001, 51314, 50951, 74744, 50851, 57491, 51311, 50984, 50970, 59904, 73843, 74263, 53788, 51183, 50997, 51314, 50956, 51314, 50861, 51314, 50876, 74744, 50851, 56889, 51246, 50984, 51136, 59904, 51373, 69636, 55707, 51140, 51417, 51027, 51314, 50900, 51314, 50956, 51314, 50965, 74744, 50851, 57491, 51136, 62290, 51373, 62371, 57411, 50941, 74263, 54204, 51127, 51176, 51449, 51040, 51449, 50871, 51449, 50906, 73506, 65642, 50423, 52178, 52038, 51846, 50984, 51317, 59904, 51589, 69636, 55707, 51140, 51218, 52194, 56562, 59280, 50450, 54006, 51192, 51317, 50822, 51846, 51210, 50903, 51373, 54421, 51493, 51373, 76519, 53397, 51300, 55970, 51183, 51040, 51449, 50861, 51449, 50906, 51449, 50931, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 68594, 51556, 55707, 51261, 69281, 59280, 50439, 54006, 52175, 53084, 50817, 52178, 50820, 51317, 50822, 51207, 51210, 50903, 51373, 60142, 52194, 50976, 50459, 51560, 50862, 52377, 54484, 53673, 56451, 51183, 50900, 51314, 50956, 51314, 79173, 50965, 74744, 50851, 56889, 51504, 50984, 50986, 59904, 68594, 51556, 55707, 51868, 51115, 51086, 51314, 50956, 51314, 79173, 50861, 51314, 50906, 74744, 59280, 50450, 51311, 50984, 50970, 59904, 51373, 54678, 51668, 53330, 50907, 53788, 51514, 50302, 51314, 50956, 51314, 50861, 51314, 50876, 74744, 59280, 50423, 51150, 57818, 52078, 50981, 51136, 62290, 51589, 69636, 54584, 51140, 51448, 51027, 51314, 50956, 51314, 50965, 51314, 50876, 51314, 52068, 52612, 61013, 51131, 50984, 51136, 59904, 54172, 55601, 54421, 51668, 53197, 61349, 54204, 51047, 51176, 51449, 50997, 51449, 51040, 51449, 50871, 73506, 65642, 50423, 51702, 52038, 51846, 50984, 51317, 59904, 51589, 69636, 55707, 51140, 78711, 59280, 50439, 51866, 64077, 51317, 50822, 51846, 51210, 50903, 51373, 58974, 52377, 51505, 50459, 52157, 51916, 76519, 52178, 51527, 55970, 51183, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 59280, 50426, 51207, 50984, 51317, 59904, 51589, 69636, 55707, 51261, 69281, 59280, 50439, 52194, 52175, 54006, 51388, 51317, 50822, 51207, 51210, 50903, 52938, 54421, 51560, 50862, 53397, 56082, 53673, 56451, 51183, 50900, 51878, 50871, 51878, 50965, 51878, 51001, 51878, 50798, 50851, 56889, 51504, 50984, 50986, 59904, 51589, 54112, 51086, 52168, 50956, 52168, 50871, 52168, 50906, 52168, 73216, 51868, 69281, 59280, 50450, 51311, 50984, 50970, 59904, 51373, 57450, 52318, 50941, 74263, 53788, 51183, 50997, 51314, 50956, 51314, 50861, 51314, 50876, 74744, 59280, 50426, 51136, 62290, 51589, 69636, 55707, 51140, 51183, 51027, 51314, 51040, 51314, 50956, 51314, 50989, 74744, 59280, 50447, 50903, 52848, 51136, 54447, 50812, 74263, 54204, 51127, 51176, 51449, 51040, 51449, 50871, 51449, 50906, 73506, 65642, 50423, 51702, 54107, 51846, 50984, 51317, 59904, 51589, 69636, 55707, 51140, 63732, 59280, 50439, 51866, 60919, 52377, 51388, 51317, 50822, 51846, 51210, 50903, 51373, 54421, 51493, 50810, 52178, 51585, 53673, 55970, 51183, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 50851, 56889, 51207, 50984, 51317, 59904, 51589, 69636, 55707, 51261, 69281, 59280, 50447, 52194, 52175, 51317, 50822, 51207, 51210, 50903, 51373, 64848, 54006, 54934, 51560, 53630, 61349, 56451, 51047, 50900, 51449, 50871, 51449, 50965, 51449, 51001, 51449, 51892, 50415, 53397, 52282, 50426, 51504, 50984, 50986, 59904, 56619, 51556, 55707, 51560, 78711, 59280, 50447, 53192, 51505, 50450, 64268, 51504, 63900, 59280, 50455, 52488, 68237, 55366, 51916, 50907, 53202, 51103, 51176, 52335, 50956, 52335, 50871, 52335, 50876, 52335, 53397, 52827, 50798, 50851, 56889, 51846, 50984, 51136, 59904, 68594, 51556, 50907, 51450, 65642, 50439, 51150, 51562, 50446, 53192, 51505, 50450, 77680, 51846, 51210, 50903, 76579, 50455, 52488, 68237, 51176, 51449, 50900, 51449, 51040, 51449, 50871, 51449, 50852, 50851, 54204, 64391, 65642, 50415, 53397, 52827, 50426, 51846, 50984, 51317, 59904, 51589, 69636, 51022, 51450, 59280, 50439, 51140, 51562, 50446, 53192, 69323, 51317, 50822, 51846, 51210, 50903, 51373, 64848, 52488, 50923, 74263, 55970, 51310, 51040, 51449, 50861, 51449, 50876, 51449, 50931, 73506, 65642, 50415, 53397, 59216, 51207, 50984, 51317, 59904, 51589, 59749, 53397, 75993, 51560, 50977, 53978, 50436, 52488, 51138 ]

[ 0, 250, 5679, 26709, 5175, 19834, 4246, 10, 13305, 6, 1481, 677, 2957, 16940, 6, 8, 3459, 9590, 6, 278, 11, 10, 19448, 178, 5285, 20889, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 10726, 9, 272, 6, 230, 6, 3676, 6, 8, 1918, 406, 4, 20, 34879, 35334, 10, 1472, 9, 657, 8, 15073, 6, 442, 24, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50799, 59775, 51243, 66206, 51243, 50415, 59775, 51243, 66206, 62912, 50931, 70631, 50931, 52688, 50968, 63794, 50968, 53052, 50931, 63936, 50931, 52718, 50876, 70381, 50876, 53624, 50931, 67446, 50931, 52985, 50968, 70792, 50968, 53581, 50931, 50932, 50457, 50931, 50932, 50799, 55131, 51080, 59775, 51080, 66206, 51080, 50415, 55131, 51080, 59775, 51080, 66206, 62557, 50931, 70631, 50931, 52688, 50968, 63794, 50968, 53052, 50931, 63936, 50931, 52718, 50902, 51080, 56296, 51080, 55131, 51080, 59775, 51080, 66206, 51080, 50439, 50902, 51080, 56296, 51080, 55131, 51080, 59775, 51080, 66206, 51080, 56229, 60472, 57292, 51243, 50902, 51243, 52018, 51243, 50415, 50931, 60472, 57292, 51243, 50902, 51243, 52018, 62912, 50951, 70631, 50951, 52688, 50951, 63794, 50951, 53052, 50931, 63936, 50931, 52718, 50931, 51080, 50439, 50931, 51080, 56229, 60472, 57292, 51592, 50902, 51592, 54540, 51243, 50415, 50931, 60472, 57292, 51592, 50902, 51592, 54540, 62912, 50951, 70631, 50951, 52688, 50951, 63794, 50951, 53052, 50931, 63936, 50931, 52718, 50931, 77563, 50931, 54980, 50876, 62722, 80245, 50876, 62722, 50932, 54852, 66743, 75575, 51080, 51720, 51243, 76751, 66743, 75575, 51080, 51720, 51243, 50444, 50728, 50304, 58753, 67446, 50728, 50304, 58753, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 75656, 63751, 50838, 51720, 55916, 63496, 75656, 63751, 50838, 51720, 52944, 50900, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 63936, 50900, 52718, 50871, 56943, 50838, 69332, 56943, 53624, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 59019, 55512, 67590, 59019, 55512, 50838, 50799, 63496, 68026, 56943, 74221, 63496, 68026, 56943, 50838, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 63936, 50900, 52718, 50871, 56943, 50838, 69332, 56943, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51801, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51801, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 67590, 69108, 55332, 50838, 50799, 69108, 51080, 50916, 55332, 74221, 69108, 51080, 50916, 55332, 50838, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 68026, 56943, 50838, 51720, 51592, 50415, 63496, 68026, 56943, 50838, 51720, 51592, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 63936, 50900, 52718, 50871, 56943, 50838, 69332, 56943, 53624, 59019, 55512, 67446, 59019, 55512, 52985, 59019, 55512, 50838, 51011, 80245, 59019, 55512, 50838, 51011, 56109, 57120, 57777, 67590, 57120, 57777, 50838, 50799, 64169, 68026, 57292, 50838, 51186, 51243, 50415, 64169, 68026, 57292, 50838, 51186, 51243, 54569, 70631, 50899, 52688, 50871, 57292, 63794, 50871, 57292, 53052, 50899, 63936, 50899, 52718, 50871, 57292, 50838, 69332, 57292, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 71198, 57712, 67590, 71198, 57712, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51243, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51243, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 64169, 57292, 67590, 64169, 57292, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51592, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51592, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 63936, 50900, 52718, 50916, 55332, 70381, 50916, 55332, 53624, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 50838, 51817, 80245, 64169, 57292, 50838, 51817, 56109, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 61541, 63751, 50838, 51720, 51283, 50415, 63496, 61541, 63751, 50838, 51720, 51283, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 50838, 51720, 63936, 50900, 50838, 51720, 52718, 50871, 56943, 50838, 51720, 51080, 69332, 56943, 50838, 51720, 63323, 63496, 56943, 67446, 63496, 56943, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 59019, 55512, 67590, 59019, 55512, 50838, 50799, 63496, 68026, 56943, 50838, 51720, 51283, 50415, 63496, 68026, 56943, 50838, 51720, 51283, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 50838, 51720, 63936, 50900, 50838, 51720, 52718, 50871, 56943, 50838, 51720, 51080, 69332, 56943, 50838, 51720, 63323, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 67590, 69108, 55332, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 50838, 51133, 63936, 50900, 50838, 51133, 52718, 50916, 55332, 50838, 51133, 51080, 50439, 50916, 55332, 50838, 51133, 63323, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 67590, 69108, 55332, 50838, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 50838, 51133, 63936, 50900, 50838, 51133, 52718, 50916, 55332, 50838, 51133, 51080, 50439, 50916, 55332, 50838, 51133, 63323, 64169, 57292, 67446, 64169, 57292, 52985, 64169, 57292, 70792, 64169, 57292, 53581, 63496, 56943, 67590, 63496, 56943, 50838, 50799, 63496, 68026, 56943, 50838, 51720, 51283, 50415, 63496, 68026, 56943, 50838, 51720, 51283, 53502, 70631, 50900, 52688, 50871, 56943, 63794, 50871, 56943, 53052, 50900, 50838, 51720, 63936, 50900, 50838, 51720, 52718, 50871, 56943, 50838, 51720, 50932, 69332, 56943, 50838, 51720, 56350, 59019, 55512, 67446, 59019, 55512, 52985, 59019, 55512, 50838, 51011, 80245, 59019, 55512, 50838, 51011, 56109, 57120, 57777, 67590, 57120, 57777, 50838, 50799, 64169, 68026, 57292, 50838, 51186, 51283, 50415, 64169, 68026, 57292, 50838, 51186, 51283, 54569, 70631, 50899, 52688, 50871, 57292, 63794, 50871, 57292, 53052, 50899, 50838, 51186, 63936, 50899, 50838, 51186, 52718, 50871, 57292, 50838, 51186, 51283, 69332, 57292, 50838, 51186, 73196, 63496, 56943, 67446, 63496, 56943, 52985, 63496, 56943, 70792, 63496, 56943, 53581, 69108, 55332, 50838, 51011, 63652, 69108, 55332, 50838, 51011, 54529, 51186, 64224, 51186, 50827, 50799, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 50415, 69108, 51080, 50916, 55332, 50838, 51133, 51283, 53502, 70631, 50900, 52688, 50916, 55332, 63794, 50916, 55332, 53052, 50900, 50838, 51133, 63936, 50900, 50838 ]

[ 0, 250, 20902, 3495, 12, 9144, 2214, 14, 28337, 3459, 8669, 6, 9590, 6, 21072, 6, 856, 17993, 6, 8, 23338, 33518, 1264, 6, 2351, 10, 15352, 30054, 8, 20425, 2369, 19, 10, 11602, 9, 15073, 4, 8504, 11, 83, 3694, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 1918, 406, 6, 1918, 6, 211, 73, 717, 6, 1918, 406, 6, 8, 230, 4, 20, 14899, 2365, 16464, 817, 24, 10686, 13, 10, 3143, 9, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 60211, 51035, 50851, 51039, 67194, 74763, 51768, 50882, 51190, 50994, 53229, 54150, 53273, 56205, 51832, 50438, 51209, 50976, 60211, 51035, 54478, 51229, 51052, 67194, 74763, 50447, 51334, 52116, 51229, 55964, 50882, 51190, 50994, 53229, 54622, 51209, 52750, 51589, 56205, 51832, 50459, 76807, 52288, 51300, 51322, 50824, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67224, 74763, 50426, 51229, 50860, 51023, 58713, 51594, 55027, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51390, 50865, 53758, 52512, 52506, 58515, 54478, 51334, 50860, 78701, 74763, 50450, 51334, 55964, 51594, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50860, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 50865, 53758, 52512, 60211, 51035, 54478, 51334, 52715, 67194, 74763, 50450, 51334, 55964, 50882, 51190, 50994, 53229, 54622, 51256, 52590, 51589, 56205, 51832, 52288, 51300, 51322, 50860, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 55869, 51322, 51331, 67224, 74763, 50426, 51229, 50860, 51023, 58713, 51594, 55027, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51390, 50865, 53758, 52512, 52506, 58515, 54478, 51334, 50860, 78701, 74763, 50450, 51334, 50860, 60298, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50860, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 54930, 50953, 51021, 60211, 51035, 54478, 73251, 51334, 51029, 53510, 50994, 74763, 50447, 51133, 52555, 62300, 50903, 50882, 51190, 50994, 53229, 54622, 50953, 54452, 51589, 56205, 51832, 50459, 50945, 50962, 52288, 51009, 51390, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67224, 74763, 50426, 51322, 51021, 51023, 58713, 51594, 55027, 62650, 50427, 51229, 50860, 51185, 50886, 51530, 55286, 51322, 50923, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51229, 52125, 51069, 51009, 52506, 58515, 54478, 51334, 50860, 78701, 74763, 50450, 51334, 55964, 51594, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50860, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 54930, 51069, 51009, 51893, 50993, 60211, 51035, 50851, 51180, 67194, 74763, 50447, 52004, 52175, 54503, 56880, 50882, 51190, 50994, 53229, 60201, 52700, 61828, 53273, 56205, 51832, 52288, 51009, 52004, 50824, 54503, 62194, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67224, 74763, 50426, 51229, 51021, 51023, 58713, 51594, 55027, 62650, 50427, 51893, 50860, 51185, 50886, 51530, 55286, 51229, 51054, 60377, 51185, 50874, 51530, 57064, 51589, 54419, 51832, 50433, 51390, 53663, 51069, 51009, 52506, 58515, 54478, 51334, 50802, 78701, 74763, 50450, 51334, 55964, 51594, 52085, 53229, 54622, 51390, 52590, 55475, 53229, 51832, 52288, 51009, 51023, 50878, 60211, 51035, 70250, 51185, 50874, 51530, 50912, 51039, 67194, 74763, 50426, 51229, 50802, 51023, 58713, 50882, 51190, 50994, 62650, 50427, 51390, 50865, 51185, 50886, 51530, 55286, 51229, 50802, 60377, 51185, 50874, 51530, 57064, 51589, 56205, 51832, 50433, 51390, 54930, 50953, 65398, 61681, 50920, 54478, 51011, 50930, 51334, 52677, 52715, 52192, 50913, 54714, 54887, 50447, 51133, 54411, 51011, 51030, 51334, 60894, 56155, 55271, 50978, 50913, 53229, 70347, 50945, 51021, 51334, 52590, 53832, 50865, 73919, 51832, 52288, 51009, 51633, 59569, 50859, 51340, 52054, 50937, 50415, 51760, 77130, 51023, 55325, 67503, 51185, 61911, 62300, 51271, 50866, 51643, 51073, 52957, 59749, 51756, 51073, 50432, 78781, 51271, 50978, 51023, 55325, 59628, 51185, 54123, 51069, 51009, 51667, 57468, 52189, 57577, 52213, 60021, 66779, 51667, 77927, 55325, 63178, 52213, 50924, 51185, 60649, 51133, 50917, 51652, 50879, 52957, 58974, 52387, 55416, 51271, 50865, 51831, 77927, 55325, 62516, 52861, 50924, 51185, 51058, 52288, 51009, 51652, 57468, 52189, 59249, 52387, 62340, 51831, 77927, 55325, 67503, 52861, 50924, 51185, 61911, 62300, 51271, 50866, 51652, 50924, 52957, 59749, 52387, 57943, 78781, 51271, 50978, 51667, 51472, 51023, 55325, 59628, 52213, 51472, 51185, 54123, 51069, 56681, 52189, 52597, 66779, 55233, 51218, 51023, 55325, 63178, 51185, 80059, 53587, 54356, 51133, 50917, 53081, 50959, 52957, 55874, 54291, 63234, 66586, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51667, 59569, 52189, 59249, 52213, 77130, 51023, 55325, 67503, 51185, 61911, 62300, 51271, 50866, 51643, 50879, 52957, 59749, 51756, 54729, 78781, 51271, 50978, 52185, 50879, 51023, 55325, 59628, 53037, 50879, 51185, 54123, 51069, 51009, 51652, 57468, 52189, 57577, 52387, 60021, 66779, 51652, 77927, 55325, 63178, 52387, 50924, 51185, 60649, 51133, 50917, 51652, 51345, 52957, 58974, 52387, 51345, 50456, 51271, 50865, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51667, 56910, 52189, 59249, 52213, 66403, 51023, 55325, 67503, 51185, 61911, 62300, 52457, 51013, 52957, 59749, 54091, 64919, 78781, 51023, 55325, 59628, 51185, 54123, 50953, 51030, 52457, 61025, 52189, 57577, 54091, 51294, 50444, 51011, 50962, 54291, 51051, 51023, 55325, 63178, 51185, 80059, 51133, 50809, 53081, 58248, 51011, 51030, 53587, 50878, 52957, 55874, 55233, 66704, 66586, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51633, 57468, 52189, 59249, 51760, 62340, 51633, 50879, 51023, 55325, 67503, 51760, 50879, 51185, 61911, 62300, 51271, 50866, 51643, 51013, 52957, 59749, 51756, 64919, 78781, 51271, 50978, 51023, 55325, 59628, 51185, 54123, 51069, 51009, 51667, 67570, 52189, 57577, 52213, 75665, 66779, 51023, 55325, 63178, 51185, 60649, 51133, 50917, 51652, 50879, 52957, 58974, 52387, 55416, 51271, 50865, 51831, 50879, 51023, 55325, 62516, 52861, 50879, 51185, 51058, 52288, 51009, 51652, 54523, 52189, 59249, 52387, 56179, 51831, 77927, 55325, 67503, 52861, 50924, 51185, 61911, 62300, 51271, 50866, 51652, 50924, 52957, 59749, 52387, 57943, 78781, 51271, 50978, 51667, 51472, 51023, 55325, 59628, 52213, 51472, 51185, 54123, 51069, 56681, 52189, 52597, 66779, 55233, 51218, 51023, 55325, 63178, 51185, 80059, 53587, 54356, 51133, 50917, 53081, 50959, 52957, 55874, 54291, 63234, 66586, 51023, 55325, 62516, 51185, 51058, 52288, 51009, 51652, 57468, 52189, 59249, 52387, 62340, 51652, 77927, 55325, 67503, 52387, 50924, 51185, 61911, 62300, 51271, 50866, 51831, 50879, 52957, 59749, 52861, 54729, 78781, 51271, 50978, 51652, 51013, 51023, 55325, 59628, 52387, 51013, 51185, 54123, 51069, 56681, 52189, 52597 ]

[ 0, 250, 15352, 30054, 3495, 657, 2214, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 2635, 1614, 1073, 1020, 20889, 4, 20, 33215, 16739, 1171, 230, 119, 6, 274, 6, 230, 401, 6, 230, 6, 8, 272, 119, 6, 2351, 10, 8728, 8, 25306, 5466, 11, 42, 765, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 51050, 58363, 51148, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 64369, 51477, 58365, 52985, 50871, 56711, 50900, 60778, 50838, 54662, 60379, 51592, 60284, 52688, 50900, 55544, 50899, 52718, 50623, 50899, 60912, 69151, 50623, 50444, 50623, 50899, 57060, 50623, 50450, 50623, 50900, 63348, 70184, 50623, 50456, 50623, 50906, 56517, 50623, 54197, 58363, 67943, 50623, 53502, 57712, 52688, 50871, 57712, 52015, 58319, 52718, 50965, 63257, 55200, 50861, 52985, 50871, 54143, 72407, 50838, 54206, 55126, 51050, 52688, 50900, 55544, 50899, 52718, 50623, 50997, 51244, 50441, 50623, 50444, 50623, 50447, 50623, 50450, 50623, 50453, 50623, 50456, 50623, 50459, 50623, 57528, 51050, 58363, 51148, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 64369, 51477, 58365, 52985, 50871, 56711, 50900, 60778, 50838, 54662, 60379, 51592, 60284, 52688, 50900, 55544, 50899, 52718, 50623, 50899, 60912, 69151, 50623, 50444, 50623, 50899, 57060, 50623, 50450, 50623, 50900, 63348, 70184, 50623, 50456, 50623, 50906, 56517, 50623, 54197, 58363, 51680, 50417, 50623, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 63257, 51310, 58365, 52985, 50871, 56711, 50956, 55512, 51074, 54206, 58363, 51592, 60284, 52688, 50900, 55544, 50899, 52718, 50997, 51244, 50450, 50876, 59111, 50876, 51074, 54662, 68434, 51592, 60284, 52688, 50997, 55544, 50900, 52718, 50623, 51040, 60912, 69151, 50623, 50444, 50623, 50997, 57060, 50623, 50450, 50623, 51050, 69136, 78252, 50623, 50456, 50623, 50459, 50623, 57528, 51085, 51260, 50296, 58399, 51148, 56363, 52688, 50916, 55544, 50861, 52718, 50900, 78172, 51534, 50447, 51028, 51172, 59758, 63821, 58843, 50876, 54529, 61801, 54197, 58363, 51243, 53502, 52688, 50871, 55544, 50861, 52718, 50965, 56391, 50861, 52985, 50965, 56711, 50876, 50838, 57497, 60236, 62557, 51176, 52688, 50956, 55544, 50871, 51283, 50436, 51040, 51314, 50437, 50871, 67608, 50965, 51145, 56222, 56711, 50965, 50838, 55435, 64290, 51080, 55961, 52688, 50861, 55544, 50906, 54498, 50871, 65273, 73279, 55200, 50871, 52985, 50861, 63348, 56711, 51028, 50838, 54955, 60379, 51148, 54569, 52688, 50871, 55544, 50861, 52718, 50623, 51086, 68545, 51244, 50441, 50623, 50444, 50623, 50871, 57060, 50623, 50450, 50623, 50861, 78252, 50623, 50456, 50623, 50459, 50623, 53975, 51481, 50951, 51148, 50417, 50623, 55902, 55752, 50906, 56427, 50968, 55659, 50899, 52104, 50324, 79098, 50965, 56989, 50876, 59111, 50931, 51074, 55524, 51481, 51081, 51148, 58060, 55752, 50968, 56427, 50951, 55659, 50623, 51062, 51712, 50328, 51447, 50441, 50623, 50444, 50623, 50951, 71106, 50623, 50450, 50623, 50968, 78983, 50623, 50456, 50623, 50876, 67273, 50623, 54197, 51481, 50876, 51148, 50417, 50623, 53502, 51074, 54439, 56427, 50965, 55659, 50876, 75598, 51477, 50444, 50965, 51074, 56415, 59111, 50900, 52216, 50319, 50838, 54662, 51481, 50902, 51592, 60284, 51074, 53523, 56427, 50899, 55659, 50899, 74997, 53624, 50899, 51074, 56415, 67891, 56711, 50899, 77413, 50838, 54197, 51481, 50876, 50905, 53502, 69442, 52688, 50871, 61087, 56427, 50965, 55659, 50931, 52104, 50333, 51477, 57428, 56989, 50965, 62214, 51405, 50838, 54662, 51644, 50330, 51592, 60284, 57777, 52688, 50900, 51712, 50328, 55544, 50899, 65505, 52718, 50623, 50871, 51712, 50330, 51244, 50441, 50623, 50444, 50623, 50997, 51283, 50447, 50623, 50450, 50623, 51147, 75934, 67763, 50623, 50456, 50623, 50951, 52104, 50326, 60864, 50623, 57528, 51050, 58363, 51148, 53502, 52688, 50965, 55544, 50861, 52718, 50871, 64369, 51477, 50444, 50965, 52985, 50876, 56711, 51001, 60778, 50838, 54662, 60379, 51680, 60284, 52688, 50899, 55544, 50906, 52718, 50876, 66918, 67120, 55200, 50899, 52985, 50871, 63348, 56711, 50906, 50838, 54197, 51481, 50876, 51148, 53502, 55752, 50965, 56427, 50861, 55659, 50871, 52104, 50333, 51477, 50444, 50965, 56989, 50876, 59111, 51001, 52216, 50331, 50838, 54662, 51481, 51146, 51592, 60284, 52216, 50328, 52688, 50900, 52104, 50326, 55544, 50871, 52216, 50324, 52718, 50899, 51244, 50951, 51244, 50450, 50876, 51097, 54662, 51481, 51028, 51592, 60284, 55752, 51040, 56427, 50871, 55659, 50965, 59388, 51040, 51074, 56415, 78502, 62214, 51028, 51074, 53997, 51481, 70330, 56363, 55752, 50916, 56427, 50861, 51074, 55203, 78172, 51534, 50447, 51028, 51172, 59758, 63821, 58843, 50876, 54529, 61801, 54197, 58363, 51080, 53502, 55332, 52688, 50871, 71387, 55544, 50861, 55512, 64025, 50965, 64369, 50974, 55513, 55512, 77069, 51050, 64369, 56711, 51197, 57945, 50838, 57497, 60236, 51080, 51147, 51318, 66650, 52688, 51040, 55544, 50871, 51283, 50951, 52104, 50326, 54137, 50965, 51244, 51147, 51314, 51062, 51145, 56222, 56711, 50965, 50838, 55435, 64290, 51283, 55961, 52688, 50906, 51244, 59409, 52718, 50871, 64897, 73279, 57105, 50997, 63348, 56711, 51028, 50838, 53975, 76452, 51148, 55902, 52688, 50876, 55544, 51001, 52718, 50951, 74826, 51244, 50450, 50876, 51097, 54868, 51481, 50931, 51283, 56945, 72713, 52688, 50899, 75598, 51939, 58783, 77882, 52718, 50877, 52104, 50330, 56391, 50871, 77882, 52985, 50902, 52104, 50330, 56711, 50877, 52216, 50332, 50838, 50460, 50899, 51671, 50999, 51671, 50461, 50871, 51671, 51146, 51671, 50877, 51671, 51339, 51671, 58106, 50902, 51313, 51814, 51313, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 2635, 20889, 8, 10, 16487, 1943, 5466, 4, 20, 13305, 3315, 5, 169, 6, 7513, 30, 30587, 8669, 6, 21072, 6, 3459, 9590, 6, 8, 21677, 32909, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 29769, 198, 5, 40286, 9, 272, 6, 163, 119, 6, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 53997, 53765, 50916, 51060, 50861, 51173, 50876, 51173, 50430, 51085, 51160, 50436, 50916, 61130, 66894, 54957, 51315, 51294, 56222, 61679, 51173, 50973, 51060, 50454, 51315, 58565, 50916, 61473, 52640, 50315, 50800, 54868, 51362, 53337, 64674, 57442, 50879, 50430, 51120, 63363, 50899, 50882, 50871, 75556, 55381, 51214, 53044, 51214, 51116, 56279, 51121, 50871, 51192, 50861, 51286, 50453, 51214, 51110, 50459, 50899, 60263, 50833, 59285, 53997, 51241, 56248, 51060, 50861, 51173, 50876, 51173, 50430, 51085, 50911, 50436, 50916, 61130, 66894, 54957, 51315, 51091, 56222, 61679, 51173, 50973, 51060, 50454, 51315, 64503, 50916, 61473, 52640, 50315, 50800, 54868, 52208, 53337, 51941, 50871, 51585, 50877, 51933, 50444, 51224, 50870, 51214, 51354, 50445, 51224, 53711, 52112, 50454, 51326, 72007, 51031, 51214, 51192, 51528, 56561, 51406, 51537, 50292, 51413, 52206, 51661, 76799, 51302, 50961, 50916, 51175, 50861, 51110, 80033, 50427, 51931, 50968, 74875, 50968, 65109, 52093, 50968, 67066, 61407, 52206, 68549, 61473, 64425, 65452, 51085, 74267, 51033, 68397, 50834, 51841, 51218, 51315, 51364, 50442, 50968, 50930, 51180, 50841, 50968, 50962, 50448, 50968, 50962, 51382, 51130, 50841, 50968, 53819, 50306, 51110, 72362, 76699, 50454, 50968, 51031, 51453, 50839, 50968, 58361, 51841, 51689, 50296, 61629, 50852, 67954, 62053, 66868, 60762, 51215, 51528, 51139, 50851, 51120, 51115, 51799, 51417, 51039, 62780, 55747, 50902, 51364, 51302, 51130, 60500, 75738, 51110, 65645, 51361, 60723, 50852, 52081, 50294, 66229, 62221, 60951, 50813, 71504, 50834, 55774, 51731, 50287, 51127, 52129, 51139, 50834, 55774, 51100, 51382, 51392, 66229, 51233, 50871, 51215, 50861, 51110, 50454, 50798, 50883, 51214, 50806, 50457, 51931, 50460, 50852, 69584, 62379, 60924, 50862, 76634, 59566, 50828, 52206, 51189, 51085, 51141, 65945, 51302, 51031, 50916, 51215, 50861, 51215, 50876, 51215, 62579, 59225, 50876, 50962, 51361, 66875, 50882, 50436, 66074, 51604, 50280, 51879, 50292, 61368, 63287, 50809, 64001, 50968, 51354, 51450, 52141, 51537, 50284, 51734, 50296, 51417, 54032, 71560, 50911, 77314, 50858, 50968, 51014, 50899, 51233, 50861, 50967, 76699, 50454, 51841, 58089, 54647, 61448, 50316, 50858, 51214, 66376, 51315, 61629, 50798, 51581, 50284, 67232, 61473, 66616, 62125, 51379, 51528, 74447, 51120, 51291, 51799, 51291, 51039, 62614, 50952, 50424, 50877, 50943, 51302, 51130, 68469, 51363, 50871, 51124, 50877, 51346, 58932, 50830, 50436, 50899, 62221, 60951, 52781, 50804, 52223, 67504, 62847, 50828, 55774, 50813, 51214, 61381, 50855, 53012, 65789, 60953, 61508, 50839, 55774, 50813, 51214, 50855, 54141, 50828, 51214, 71415, 66824, 79279, 50883, 55774, 50809, 52612, 50895, 50899, 71142, 50949, 55774, 50809, 51214, 62053, 50962, 51382, 50817, 55774, 50811, 51214, 52717, 50306, 64587, 52717, 50311, 56354, 71329, 50839, 52206, 51196, 51085, 51527, 50796, 51039, 52816, 50833, 51302, 51392, 50839, 50968, 51014, 50916, 51194, 50861, 50967, 50876, 51175, 51361, 61665, 61968, 52206, 66554, 67003, 51085, 67885, 60924, 50844, 60040, 50968, 51014, 50437, 51315, 51295, 51450, 78796, 51841, 51274, 50441, 50968, 53806, 50843, 50921, 70433, 50448, 80252, 51382, 51179, 67232, 51212, 69940, 50973, 51100, 50453, 50968, 50880, 51453, 70831, 57521, 51315, 61368, 51581, 50284, 70886, 50852, 68469, 67046, 64422, 50880, 74912, 63665, 52362, 50282, 51446, 51120, 51047, 51039, 50834, 56143, 50424, 76783, 65591, 60500, 51233, 50871, 51110, 50877, 58443, 50843, 61300, 50899, 67431, 62125, 54957, 50843, 52411, 50858, 51214, 51682, 50275, 50808, 51180, 53351, 50858, 55774, 51519, 50287, 51218, 51382, 51135, 68370, 51110, 50871, 51110, 50861, 51110, 50453, 51799, 51100, 50454, 50798, 54450, 50843, 69738, 50899, 64587, 62053, 50840, 65195, 54366, 63779, 52415, 50292, 51343, 52206, 50983, 52399, 50834, 51302, 53843, 69498, 71665, 51043, 77549, 50430, 50876, 73177, 67974, 56966, 50916, 62531, 50835, 51085, 62141, 63136, 50798, 51682, 50280, 60407, 60364, 61246, 50921, 50968, 53318, 50284, 51294, 51315, 51446, 51180, 77358, 51021, 51382, 51135, 50846, 50968, 79730, 51194, 50861, 50967, 76699, 55350, 51031, 51841, 58089, 50858, 51453, 50884, 62873, 51214, 50910, 50460, 50843, 51581, 50284, 50809, 51315, 66675, 61381, 64005, 63287, 51388, 50799, 66987, 50897, 51799, 51991, 51120, 51307, 51039, 64890, 51274, 51302, 51130, 50895, 50871, 51218, 79379, 51027, 51417, 50899, 51417, 51361, 58024, 50798, 52600, 61246, 50952, 55258, 64849, 66119, 50798, 71572, 51139, 50895, 51027, 51189, 50899, 51413, 50877, 51413, 50871, 51413, 55350, 59057, 51142, 50902, 54166, 50877, 63303, 51247, 59652, 51966, 50862, 51528, 64257, 50854, 51214, 51486, 51214, 51359, 53158, 52654, 53636, 51027, 51413, 50871, 51413, 50877, 51413, 50899, 51103, 50432, 53636, 50999, 74387, 54547, 50443, 51456, 52875, 51456, 55019, 66823, 50861, 54411, 53636, 51085, 60191, 51045, 51027, 64763, 59782, 60598, 51003, 50452, 51279, 57637, 51224, 50961, 51214, 60407, 55577, 50856, 50854, 51841, 65039, 51054, 50458, 51799, 61780, 51289, 50895, 55774, 50855, 51528, 56561, 50884, 51085, 51397, 52206, 51661, 53158, 50820, 50968, 52282, 50424, 74870, 51302, 55019, 61687, 71665, 51043, 50876, 51194, 50900, 59937, 50981, 50430, 50856, 53705, 50856, 60591, 50798, 51920, 50863, 52206, 68549, 62053, 63835, 58566, 51085, 50836, 51450, 51920, 50820, 51086, 75591, 51741, 50284, 51218, 51315, 51218, 80213, 52986, 50856, 58321, 66904, 51382, 54973, 67232, 71665, 51194, 50973, 51110, 51026, 51709, 50861, 50981, 50454, 50856, 53007, 50856, 54794, 51841, 51689, 50296, 59322, 50856, 70883, 60924, 66499, 50862, 51528, 55019, 50820, 51120, 51477, 51799, 51417, 51027, 75656, 51080, 63173, 53070, 50856, 58830, 73886, 51302, 54973, 60500, 51423, 50871, 72317, 51043, 50430, 50856, 53196, 50856, 59370, 50856, 54528, 51731, 50294, 62963, 62154, 61549, 71610, 50886, 51450, 53498, 50834, 55774, 68546, 50803, 51214, 51145, 50442, 76066, 50968, 51010, 52129, 55019, 67904, 53275, 50275, 51100, 50448, 50856, 50829, 51382, 57737, 67128, 51014, 50899, 51309, 50871, 51110, 50861, 51043, 50454, 56639, 65147, 52717, 50280, 52931, 50856, 64204, 50824, 50460, 50856, 70883, 62464, 61077, 50867, 51528, 56561, 50884, 52206, 50983, 51085, 51397, 53158, 67128, 50943, 50424, 74870, 51302, 55019, 61687, 71665, 51043, 50876, 51194, 50900, 60763, 51003, 50430, 50856, 53705, 50856, 60591, 50798, 51920, 50863, 52206, 68677, 61368, 63835, 65452, 51085, 64422, 50865, 51450, 51920, 50820, 51086, 67430, 51619, 50284, 51191, 51315, 51218, 80213, 54617, 54247, 72476, 50968, 51112, 50448, 66904, 51382, 54973, 67232, 71665, 51194, 50973, 51110, 51026, 59055, 50981, 50454, 66904, 50902, 56354, 50856, 50829, 51841, 50897, 50876, 51014, 50459, 51315, 59322, 50856, 50829, 52046, 68370, 60924, 66499, 50862, 51528, 55019, 67128, 51226, 50877, 51637, 51799, 51141, 51120, 51477, 51050, 51448, 63173, 53070, 50856, 58830, 73886, 51302, 54973, 60500, 51423, 50871, 72317, 51043, 50430, 50856, 54839, 54216, 50856, 59370, 73886, 51799, 50809, 51120, 62963, 62154, 63700, 50886, 51450, 53498, 50834, 55774, 50809, 51214, 51145, 50442, 76066, 52129, 55019, 50829, 55774, 51110, 50448, 50856, 50829, 60373, 51382, 57737, 50820, 59836 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 1575, 10, 6755, 12547, 6, 3551, 139, 6, 6168, 3540, 6, 8, 32909, 6, 2351, 41, 9066, 8, 8728, 5466, 4, 590, 10, 20889, 9, 5962, 13410, 228, 2289, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 16, 278, 11, 5, 762, 9, 272, 538, 8, 24536, 10, 33215, 16739, 9, 272, 6, 211, 6, 163, 406, 6, 8, 3676, 4, 20, 15352, 30054, 3222, 5785, 227, 5, 9571, 17992, 7, 5, 1374, 19448, 8, 25306, 619, 9, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50456, 52039, 50873, 52039, 50873, 51088, 50873, 54358, 50873, 63355, 50943, 51431, 50943, 52143, 50943, 78580, 51093, 50943, 51301, 51218, 54850, 51218, 54358, 50943, 55851, 50943, 73681, 57908, 51431, 50873, 51431, 50873, 52143, 50873, 51088, 50873, 51093, 50873, 54358, 50873, 55851, 50873, 73681, 54259, 51431, 50873, 51431, 50873, 52143, 50873, 51301, 50873, 51088, 50873, 51093, 50873, 54850, 50873, 54358, 50873, 55851, 50873, 73681, 54233, 51431, 50943, 51431, 50943, 52143, 50943, 51093, 50943, 55851, 50943, 73681, 56508, 51744, 50873, 51744, 50873, 52776, 50873, 51088, 50873, 51357, 50873, 51266, 50873, 54358, 50873, 58873, 50873, 61593, 50873, 73605, 55345, 51485, 50873, 51485, 50873, 52776, 50873, 51154, 50873, 51357, 65584, 50873, 54648, 50873, 58873, 50873, 57440, 50873, 73605, 50873, 63355, 50943, 51431, 50943, 53215, 50943, 51301, 50943, 51113, 50943, 51093, 50943, 54850, 50943, 55769, 50943, 55851, 50943, 50719, 50289, 57908, 52298, 50873, 52298, 50873, 51357, 50873, 51887, 50943, 51299, 50943, 51154, 50943, 53011, 50943, 54648, 50943, 58873, 50873, 65406, 57421, 51898, 50873, 51898, 71252, 50873, 55769, 54233, 52039, 50943, 52039, 50943, 52830, 50943, 51299, 50943, 78580, 53011, 50943, 54358, 50943, 79698, 58705, 52039, 50873, 52039, 50873, 52830, 50873, 75191, 53011, 50873, 79698, 50873, 50799, 51898, 50943, 51898, 50943, 51887, 50943, 51299, 50943, 51154, 50943, 51113, 51218, 53011, 50943, 54648, 50943, 55769, 51218, 65406, 57908, 51898, 50873, 51898, 50873, 51154, 50873, 52371, 50943, 54648, 50873, 50719, 50294, 57421, 52298, 50873, 52298, 50873, 51357, 50873, 58873, 54233, 51431, 50943, 51431, 50943, 52830, 50943, 78580, 51093, 50943, 54358, 50943, 55851, 50943, 79698, 56508, 51431, 50873, 51431, 50873, 51299, 71252, 50873, 51093, 50873, 55769, 50873, 55851, 50873, 62292, 55345, 51485, 50873, 51485, 50873, 52065, 50873, 51357, 65584, 50873, 58873, 50873, 57440, 50873, 50719, 50303, 50873, 67659, 50943, 51744, 50943, 51883, 50873, 51093, 50943, 51266, 50943, 51113, 51218, 55769, 51218, 55851, 50943, 61593, 50943, 68847, 55689, 51699, 50873, 70825, 53890, 51509, 50873, 51509, 50873, 51887, 65584, 50873, 51201, 50873, 57440, 50873, 59885, 50873, 65406, 54259, 51485, 50873, 51485, 50873, 51699, 50873, 51088, 50873, 51357, 65584, 50873, 54358, 50873, 58873, 50873, 57440, 50873, 70825, 54233, 51744, 50943, 51744, 50943, 51299, 50943, 78580, 51093, 50943, 51266, 50943, 54358, 50943, 55851, 50943, 61593, 50943, 62292, 58705, 52039, 50873, 52039, 50873, 51699, 50873, 51088, 50873, 54358, 50873, 70825, 50873, 63355, 50943, 51431, 50943, 52143, 50943, 78580, 51093, 50943, 51301, 51218, 54850, 51218, 54358, 50943, 55851, 50943, 73681, 57908, 53808, 50943, 53808, 50943, 52143, 50873, 75191, 53011, 50873, 73681, 54259, 52143, 50873, 51251, 50873, 51154, 50873, 53827, 50873, 54648, 50873, 73681, 54233, 52334, 50873, 52334, 50873, 52143, 50943, 51301, 50943, 78580, 54850, 50943, 54358, 50943, 73681, 58141, 52039, 50943, 52039, 56508, 51154, 71252, 50873, 52776, 50943, 54648, 50873, 55769, 50873, 73605, 58705, 51898, 50873, 51898, 50873, 51357, 50873, 58873, 50873, 63355, 50943, 51431, 50943, 52143, 50943, 51301, 50943, 78580, 51093, 50943, 54850, 50943, 54358, 50943, 55851, 50943, 73681, 57908, 53808, 50873, 53808, 50873, 52143, 50873, 75191, 51301, 50873, 53011, 50873, 54850, 50873, 73681, 54259, 52334, 50873, 52334, 50873, 52143, 50873, 51251, 50873, 51154, 50873, 53827, 50873, 54648, 50873, 73681, 54233, 52039, 51218, 52039, 51218, 52143, 50943, 51301, 51218, 51088, 51218, 54850, 51218, 54358, 51218, 73681, 56508, 75191, 62292, 55345, 51485, 50873, 51485, 50873, 52065, 50873, 51088, 65584, 50873, 54358, 50873, 57440, 50873, 50719, 50303, 50873, 67659, 50943, 51744, 50943, 75191, 78580, 51266, 50943, 54358, 50943, 61593, 50943, 62292, 55689, 52065, 50873, 50719, 50303, 53890, 51485, 50873, 51485, 50873, 51491, 65584, 50873, 51883, 50943, 51299, 50943, 59558, 50873, 57440, 50873, 68847, 50943, 62292, 57421, 51431, 50873, 51431, 50873, 51093, 50873, 55851, 54233, 51579, 50943, 51579, 50943, 51699, 50873, 52065, 50873, 51182, 50943, 51088, 51218, 54358, 51218, 61276, 50943, 70825, 50873, 50719, 50303, 55322, 53148, 50873, 50719, 50298, 54230, 52298, 50873, 52298, 50873, 51357, 50873, 52830, 50943, 58873, 50873, 79698, 58705, 51431, 50873, 51431, 50873, 51093, 50873, 55851, 50873, 64934, 50943, 51485, 50943, 52371, 50943, 52065, 50943, 78580, 71938, 54358, 50943, 57440, 50943, 50719, 50294, 50943, 50719, 50303, 57908, 53689, 51221, 53689, 51221, 51251, 51221, 52371, 50943, 51887, 50943, 51299, 50943, 53827, 51221, 50719, 50294, 50943, 65406, 50943, 62292, 50943, 50435, 53689, 50833, 53689, 50833, 51251, 50833, 53827, 53415, 52039, 50943, 52039, 50943, 51699, 50943, 52065, 50943, 78580, 54358, 50943, 70825, 50943, 50719, 50303, 56508, 51485, 51221, 51485, 51221, 51251, 51221, 51107, 51221, 57440, 51221, 61513, 51221, 50459, 51485, 50833, 51485, 50833, 51251, 50833, 51107, 50833, 57440, 50833, 61513, 50833, 64934, 50943, 51485, 50943, 51251, 50943, 71938, 57440, 50943, 61513, 57908, 52298, 50873, 52298, 50873, 52065, 50873, 51357, 50873, 58873, 50873, 50719, 50303, 54259, 51431, 50873, 51431, 50873, 75191, 51093, 50873, 55851, 50873, 62292, 54233, 51485, 50943, 51485, 50943, 51251, 50943, 71938, 57440, 50943, 61513, 56508, 51744, 51221, 51744, 51221, 51375, 51221, 51266, 51221, 52830, 50943, 51251, 50943, 59624, 51221, 61593, 51221, 79698, 50943, 61513, 50943, 50459, 51744, 50833, 51744, 50833, 51266, 50833, 61593, 50833, 67659, 50943, 51744, 50943, 51883, 50943, 51299, 50943, 51113, 50943, 51266, 50943, 55769, 50943, 61593, 50943, 68847, 50943, 62292, 57908, 51431, 50873, 51431, 50873, 51883, 50873, 51093, 50873, 55851, 50873, 68847, 54259, 51485, 50873, 51485, 50873, 52065, 65584, 50873, 57440, 50873, 50719, 50303, 54233, 51744, 50943, 51744, 50943, 51299, 50943, 51266, 50943, 61593, 50943, 62292, 58705, 51744, 50873, 51744, 50873, 52143, 50873, 51266, 50873, 61593, 50873, 73681, 50873, 64934, 50873, 51485, 65584, 50873, 52371, 50943, 57440, 50873, 50719, 50294, 60413, 51431, 50873, 51431, 50873, 51093, 50873, 55851, 53890, 52298, 50873, 52298, 50873, 51301, 50873, 51375, 50873, 51357, 50873, 52830, 50943, 51251, 50943, 54850, 50873, 59624, 50873, 58873, 50873, 79698, 50943, 61513, 57421, 51744, 50873, 51744, 50873, 51266, 50873, 61593, 54233, 51431, 50833, 51431, 50833, 76090, 51883, 50943, 51299, 50943, 51301, 50943, 54850, 50943, 55851, 50833, 68847, 50943, 62292, 50943, 50441, 51898, 51221, 51898, 51221, 51113, 51221, 55769, 68031, 53215, 50943, 50719, 50289, 50943, 63355, 50873, 51431, 50873, 75191, 51093, 50873, 55851, 50873, 62292, 55689, 51431, 50873, 51431, 50873, 75191, 51093, 50873, 55851, 50873, 62292, 53890, 52039, 50943, 52039, 50943, 51699, 50943, 78580, 54358, 50943, 70825, 56389, 53808, 50833, 53808, 50833, 52830, 50833, 51301, 50833, 54850, 50833, 79698, 58935, 54595, 51221, 54595, 51221, 52143, 51221, 51299, 51221, 53011, 51221, 73681, 68031, 52039, 50873, 52039, 50873, 52830, 50873, 51088, 50873, 54358, 50873, 79698, 55345, 52039, 50873, 52039, 50873, 52830, 50873, 51088, 50873, 54358, 50873, 79698, 50873 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 15229, 1931, 21683, 10, 19448, 8, 9066, 5466, 4, 2595, 10312, 30, 10, 4069, 9, 12280, 3275, 1725, 3109, 6, 3741, 27374, 594, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 15054, 17838, 6, 24, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 5, 762, 9, 230, 10431, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 10431, 8, 274, 10431, 119, 6, 8216, 7, 63, 25306, 8, 15352, 30054, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 53882, 50952, 54750, 51449, 54750, 51313, 53469, 51449, 53469, 51313, 52345, 51449, 52345, 51313, 58416, 52017, 50418, 53322, 75177, 52242, 50952, 50427, 53882, 50952, 50431, 53322, 75339, 52242, 50952, 50440, 53882, 60835, 53322, 50952, 50448, 52242, 50952, 50452, 53882, 50952, 50457, 53322, 50952, 50461, 52242, 50952, 52177, 53882, 50952, 54750, 51359, 54750, 51655, 53469, 51359, 53469, 51655, 52345, 51359, 52345, 51655, 61835, 52017, 50421, 53322, 58798, 52242, 78674, 53882, 68686, 53322, 50952, 50439, 52242, 50952, 50443, 53882, 50952, 50447, 53322, 50952, 50451, 52242, 59349, 53882, 50952, 50460, 53322, 50952, 51809, 52242, 63817, 52573, 50952, 53469, 51127, 53469, 51336, 52345, 51127, 52345, 51336, 52508, 51359, 52508, 51655, 50659, 50282, 51551, 50425, 53322, 75104, 52242, 50952, 50433, 52573, 50952, 50437, 53322, 50952, 50442, 52242, 70894, 52573, 50952, 52118, 51127, 52118, 51336, 52880, 51127, 52880, 51336, 50659, 50279, 51551, 50450, 52049, 50952, 50455, 52797, 71428, 52573, 50952, 51601, 52049, 50952, 50419, 52797, 50952, 50424, 53882, 50952, 52230, 50943, 52230, 51013, 52880, 50943, 52880, 51013, 54750, 51518, 54750, 51933, 50659, 50281, 51551, 50428, 52292, 59099, 52797, 50952, 50436, 53882, 50952, 52345, 50943, 52345, 51013, 53469, 51127, 53469, 51336, 50441, 53322, 50952, 50445, 52242, 50952, 50449, 53882, 50952, 53232, 51675, 53232, 51896, 50659, 50281, 52282, 50453, 53322, 69085, 53324, 50952, 50799, 53895, 50830, 55424, 51241, 55424, 51294, 52230, 51241, 52230, 51294, 50418, 52292, 61456, 53324, 50865, 50428, 53249, 50830, 53854, 50943, 53854, 51013, 54750, 51359, 54750, 51655, 53469, 51359, 53469, 51655, 58416, 52017, 50432, 53882, 68231, 53322, 67007, 53882, 50830, 52345, 51518, 52345, 51933, 50445, 53322, 70380, 52242, 60278, 53882, 62990, 53322, 50910, 50799, 52242, 69392, 51777, 51227, 53882, 68018, 53322, 50910, 50427, 52242, 50910, 50428, 51777, 70328, 51777, 51941, 53882, 50910, 54750, 51359, 54750, 51655, 53232, 51359, 53232, 51655, 52880, 51359, 52880, 51655, 53878, 52017, 50435, 53324, 50910, 50440, 52797, 60204, 53882, 50910, 50448, 53324, 79179, 52797, 78767, 53882, 78123, 53324, 50910, 52177, 52797, 60853, 51777, 51227, 53882, 56382, 53324, 62815, 52797, 50910, 50431, 51777, 60661, 51777, 51356, 53882, 50910, 54750, 51127, 54750, 51336, 53469, 51127, 53469, 51336, 52345, 51127, 52345, 51336, 58416, 51551, 50439, 53322, 50910, 50443, 52242, 69352, 53882, 50910, 50451, 53322, 57939, 52242, 50910, 50460, 51275, 51356, 52573, 50910, 52508, 51127, 52508, 51336, 53469, 51127, 53469, 51336, 52880, 51127, 52880, 51336, 50659, 50279, 51551, 51809, 53322, 50910, 50421, 52797, 50910, 50425, 52573, 50910, 50429, 53322, 75407, 52797, 56983, 51777, 51356, 53882, 50910, 54750, 51127, 54750, 51336, 52345, 51127, 52345, 51336, 52760, 51359, 52760, 51655, 61835, 51551, 50442, 52740, 64482, 52242, 57006, 53882, 50910, 50455, 52740, 65841, 52242, 50910, 51601, 51429, 51016, 52573, 50910, 52508, 51127, 52508, 51336, 53232, 51127, 53232, 51336, 61835, 51551, 50419, 52740, 50910, 50424, 53324, 50910, 50428, 51489, 51016, 52573, 58466, 52740, 79178, 53324, 50910, 50441, 51119, 51016, 53882, 50910, 54750, 50943, 54750, 51013, 52760, 51359, 52760, 51655, 52345, 51359, 52345, 51655, 59282, 52017, 50445, 52740, 50910, 50449, 52242, 68714, 52740, 50910, 54267, 51518, 54267, 51933, 50458, 52242, 50910, 50799, 53634, 69392, 52740, 68018, 52242, 50910, 50427, 53634, 50910, 50431, 52577, 51603, 52740, 65470, 52242, 50910, 50440, 53634, 50910, 50441, 52577, 54952, 52577, 52369, 52740, 50910, 52760, 51359, 52760, 51655, 52880, 51359, 52880, 51655, 52779, 51359, 52779, 51655, 64794, 52017, 50448, 52797, 79179, 52044, 78767, 52740, 78123, 52797, 50910, 52177, 52044, 60853, 52740, 56382, 52797, 62815, 52044, 58877, 52577, 51603, 52740, 50910, 50439, 52797, 50910, 50443, 52044, 60204, 52577, 57152, 52577, 51527, 52740, 50910, 52760, 51127, 52760, 51336, 52345, 51127, 52345, 51336, 54267, 51359, 54267, 51655, 59282, 51551, 50451, 52242, 57939, 53634, 50910, 50460, 52740, 50910, 51809, 52242, 50910, 50421, 53634, 50910, 50425, 52569, 51054, 52292, 50910, 52230, 50943, 52230, 51013, 52880, 50943, 52880, 51013, 64794, 74450, 52797, 75407, 53634, 56983, 54282, 51054, 53322, 50910, 53469, 50943, 53469, 51013, 52345, 50943, 52345, 51013, 58416, 51090, 50442, 52242, 64482, 53634, 57006, 54462, 51527, 53324, 50910, 53232, 51127, 53232, 51336, 52880, 51127, 52880, 51336, 54267, 51127, 54267, 51336, 53878, 51551, 50455, 52797, 65841, 53634, 50910, 51601, 53324, 50910, 50419, 52797, 50910, 50424, 53634, 50910, 50428, 52930, 51527, 52242, 50910, 52345, 51127, 52345, 51336, 54267, 51127, 54267, 51336, 54832, 51127, 54832, 51336, 58416, 51551, 50432, 53634, 79178, 53731, 50910, 50441, 52242, 50910, 50445, 53634, 50910, 50449, 53731, 68714, 52627, 51527, 52049, 50910, 52118, 51127, 52118, 51336, 52779, 51127, 52779, 51336, 52880, 51359, 52880, 51655, 50659, 50279, 51551, 50458, 52797, 50910, 50799, 52044, 69392, 52049, 68018, 52797, 50910, 50427, 52044, 50910, 50431, 52569, 51527, 52292, 50910, 52230, 51127, 52230, 51336, 54267, 51127, 54267, 51336, 50659, 50281, 51551, 50435, 52797, 50910, 50440, 53634, 60204, 52292, 50910, 50448, 52797, 79179, 53634, 78767, 54282, 52369, 53322, 50910, 52345, 51127, 52345, 51336, 53469, 51359, 53469, 51655, 54267, 51359, 54267, 51655, 58416, 55362, 50461, 52242, 50910, 52177, 53634, 60853, 53322, 56382, 52242, 62815, 53634, 58877, 53322, 50910, 52661, 51127, 52661, 51336, 50439, 52443, 50910, 50443, 53634, 69352, 54106, 50889, 53322, 50910, 50451, 52443, 57939, 53634, 50910, 50460, 53139, 51538, 53322, 50910, 53469, 51359, 53469, 51655, 52880, 51359, 52880, 51655, 52779, 51359, 52779, 51655, 51809, 52797, 50910, 50421, 52044, 50910, 50425, 53322, 50910, 53750, 71667, 52797, 75407, 52044, 56983, 53322, 50910, 50659, 50294, 51054, 50442, 52797, 64482, 52044, 57006, 51825, 51013, 53322, 50910, 53750, 51054, 50455, 52797, 65841, 52044, 50910, 51601, 52948, 51933, 53322, 50910, 53469, 51359, 53469, 51655, 52661, 51359, 52661, 51655, 54267, 51359, 54267, 51655, 58416, 56073, 50419, 52443, 50910, 50424, 53634, 50910, 50428, 53322, 58466, 52443, 79178, 53634, 50910, 50441, 53322, 50910, 50445, 52443, 50910, 50449, 53634, 68714, 54106, 50889, 53322, 62990, 52443, 50910, 50799, 53634, 69392, 53139, 51538, 53322, 50910, 53469, 51359, 53469, 51655, 52880, 51359, 52880, 51655, 52779, 51359, 52779, 51655, 50423, 52797, 50910, 50427, 52044, 50910, 50431, 53322, 50910, 53750, 51054, 50435, 52797, 50910, 50440, 52044, 60204, 53322, 50910, 50659, 50294, 51054, 50448, 52797, 79179, 52044, 78767, 51825, 51013, 53322, 50910, 53750, 51054, 50461, 52797, 50910, 52177, 52044, 60853, 52948, 51336, 53322, 50910, 52661, 51127, 52661, 51336, 54267, 51127, 54267, 51336, 53469, 51359, 53469, 51655, 58416, 51527, 50426, 52443, 62815, 53634, 58877, 53322, 50910, 50439, 52443, 50910, 50443, 53634, 69352, 53335, 51336, 53322, 50910, 52880, 51127, 52880, 51336, 52779, 51127, 52779, 51336, 50659, 50279, 51551, 50451, 52797, 57939, 52044, 50910, 50460, 53322, 50910, 51809, 52797, 50910, 50421, 52044, 50910, 50425, 52043, 51933, 52740, 50910, 52880 ]

[ 0, 713, 8787, 5175, 8, 3495, 15229, 11, 230, 538, 16, 17407, 30, 41, 20425, 8, 15352, 30054, 2574, 6, 7630, 14805, 10, 8576, 9, 8597, 31, 11098, 7, 15073, 4, 590, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 5, 2125, 1575, 10, 16331, 33215, 16739, 9, 1918, 6, 163, 406, 6, 3676, 6, 211, 119, 6, 8, 230, 6, 8216, 7, 63, 13363, 28191, 5466, 8, 25306, 1318, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 56415, 50882, 50871, 50882, 50871, 50882, 50871, 71772, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 50871, 51496, 50871, 51496, 56415, 50882, 50871, 50882, 50871, 50882, 50871, 71772, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 50871, 51496, 50871, 51496, 56415, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 70640, 50454, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 70640, 50458, 50871, 50882, 50871, 50882, 50871, 50882, 50871, 50882, 70640, 54578, 51500, 50871, 51500, 50877, 51500, 50877, 51500, 50999, 51500, 53645, 50882, 50871, 75556, 75556, 50882, 50999, 50882, 74413, 50882, 50871, 75556, 75556, 50882, 50999, 78116, 50871, 50882, 50871, 75556, 75556, 50882, 50999, 55381, 50871, 51500, 50871, 51500, 50877, 51500, 50877, 51500, 50999, 51500, 56415, 50882, 50871, 75556, 75556, 50882, 50999, 71772, 50871, 50882, 50871, 75556, 75556, 50882, 50999, 71529, 50871, 50882, 50871, 75556, 75556, 50882, 50999, 50882, 54578, 51500, 50871, 51500, 50877, 51500, 50876, 51500, 51062, 51500, 53645, 50882, 50871, 75556, 78842, 51062, 50882, 74413, 50882, 50871, 75556, 78842, 51062, 78116, 50871, 50882, 50871, 75556, 78842, 51062, 55381, 50871, 51500, 50871, 51500, 50877, 51500, 50876, 51500, 51062, 51500, 56415, 50882, 50871, 75556, 78842, 51062, 71772, 50871, 50882, 50871, 75556, 78842, 51062, 71529, 50871, 50882, 50871, 75556, 78842, 51062, 50882, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50871, 51496, 50877, 51496, 50931, 51496, 50900, 52282, 50876, 52266, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873, 50968, 73957, 50968, 50961, 50931, 50961, 50931, 55622, 50916, 51500, 50906, 51500, 50951, 51500, 50440, 50951, 51500, 59758, 51286, 50906, 51286, 50876, 51286, 50876, 51286, 50900, 51500, 50452, 50876, 51286, 50459, 50916, 78726, 52640, 50320, 52640, 50323, 71366, 50951, 50930, 54197, 51500, 50871, 51500, 50876, 51500, 50931, 51500, 50999, 51500, 53645, 60022, 50877, 51030, 62204, 62619, 51050, 53275, 50321, 53275, 50321, 53275, 50321, 63233, 51027, 53275, 50325, 53275, 50325, 53275, 50325, 63109, 50900, 53275, 50328, 53275, 50328, 53275, 50328, 51030, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50931, 51496, 50900, 52282, 50871, 52282, 50877, 52282, 50876, 52282, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873, 50968, 73957, 50968, 50961, 50931, 50961, 50931, 55622, 50999, 51500, 50440, 50999, 51500, 59758, 51286, 50906, 51286, 50876, 51286, 50951, 51286, 51085, 51500, 50452, 50951, 51286, 50459, 50916, 78726, 52640, 50320, 52640, 50325, 71366, 50999, 50930, 53997, 51496, 50906, 51496, 50876, 51496, 50968, 51496, 50951, 51496, 63451, 51500, 50871, 51500, 50877, 51500, 50876, 51500, 50931, 51500, 56415, 50882, 50871, 71772, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 53645, 74875, 50877, 50882, 65281, 55381, 50931, 51500, 56415, 50882, 50871, 71772, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 54578, 51496, 50871, 51496, 56207, 75556, 74875, 50876, 66427, 78116, 70640, 50931, 55381, 50931, 51500, 50999, 51500, 56415, 50882, 50871, 71772, 50871, 50882, 50871, 71529, 50871, 50882, 50871, 50882, 54578, 51500, 50871, 51500, 53645, 50882, 50871, 75556, 75556, 50882, 74413, 50882, 50871, 66427, 66427, 78116, 50871, 50882, 50871, 50882, 70640, 50931, 55381, 50871, 51500, 50871, 51500, 50931, 51500, 50999, 51500, 56415, 50882, 50871, 75556, 66427, 66427, 71772, 50871, 50882, 50871, 75556, 50882, 70640, 70640, 50458, 50871, 50882, 50871, 75556, 50882, 50999, 50882, 50999, 50882, 54578, 51500, 50871, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 53645, 50882, 50871, 66427, 66427, 78842, 74413, 50882, 50871, 78842, 70640, 70640, 50434, 50871, 50882, 50871, 78842, 50999, 50882, 50999, 55381, 50871, 51500, 50871, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 56415, 50882, 50871, 66427, 78842, 70640, 50454, 50871, 50882, 50871, 78842, 70640, 50999, 71529, 50871, 50882, 50871, 78842, 50999, 50882, 51062, 50882, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50871, 51496, 50877, 51496, 50931, 51496, 50900, 52282, 50876, 52266, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873, 50968, 73957, 50968, 50961, 50931, 50961, 50931, 55622, 50916, 51500, 50906, 51500, 50951, 51500, 50440, 50951, 51500, 59758, 51286, 50906, 51286, 50876, 51286, 50876, 51286, 50900, 51500, 50452, 50876, 51286, 50459, 50916, 78726, 52640, 50320, 52640, 50323, 71366, 50951, 50930, 54197, 51500, 50871, 51500, 50876, 51500, 50931, 51500, 50999, 51500, 53645, 60022, 50877, 51030, 62204, 62619, 51050, 53275, 50321, 53275, 50321, 53275, 50321, 63233, 51027, 53275, 50325, 53275, 50325, 53275, 50325, 63109, 50900, 53275, 50328, 53275, 50328, 53275, 50328, 51030, 54868, 51496, 50871, 51496, 50999, 51496, 51220, 51496, 51339, 51496, 55898, 51541, 51147, 51541, 51220, 51541, 51430, 51541, 51315, 51496, 71136, 53275, 50324, 53275, 50327, 53275, 50327, 51030, 57190, 51500, 50973, 51500, 51220, 51500, 51146, 51500, 51027, 51496, 56207, 51500, 50876, 51500, 50999, 51500, 51062, 51500, 62335, 73796, 75137, 52370, 50323, 52370, 50326, 56160, 50997, 76559, 75137, 52370, 50323, 52370, 50323, 50911, 56229, 50961, 50931, 51496, 50900, 52282, 50871, 52282, 50877, 52282, 50876, 52282, 77717, 59757, 50931, 77844, 50951, 56051, 50931, 66774, 50951, 58980, 50931, 80148, 50951, 55800, 50931, 77751, 50951, 58288, 50931, 73247, 50951, 54562, 50931, 69873, 50951, 59873 ]

[ 0, 713, 8787, 3495, 8, 5175, 2125, 6, 278, 11, 230, 538, 6, 1931, 21683, 10, 11739, 9, 15352, 30054, 16426, 8, 20425, 23338, 293, 6, 1969, 13, 26545, 50, 190, 10, 1619, 822, 4, 20, 7212, 20889, 9, 16970, 163, 5683, 8, 204, 73, 306, 86, 6543, 1045, 10, 5204, 4811, 13, 5, 81, 9756, 8669, 6, 21072, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 6755, 12547, 7, 35810, 49, 25210, 5797, 990, 1506, 9, 2369, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 274, 73, 347, 8, 230, 6, 1271, 10, 2842, 9, 25342, 7, 5, 1374, 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 ]

[ 54458, 50796, 58479, 51358, 50871, 51358, 58060, 52910, 50877, 51100, 51487, 53182, 79844, 60496, 51127, 50439, 51339, 53218, 74650, 56415, 51111, 50999, 53312, 75022, 54594, 51623, 51081, 51933, 58973, 54243, 50906, 51221, 51487, 55112, 50902, 73835, 51339, 72341, 70268, 50902, 55082, 72682, 50451, 51081, 61510, 50902, 51060, 59733, 51291, 50877, 51591, 67855, 51157, 56546, 51100, 51487, 53182, 50968, 55965, 51339, 55695, 64486, 50968, 59323, 50877, 51100, 50451, 51062, 61510, 50968, 51060, 54594, 51623, 50415, 51081, 51941, 58973, 55973, 50906, 51177, 51487, 55112, 50902, 53912, 51339, 51116, 50906, 71158, 50902, 53794, 68062, 50451, 51339, 66354, 51430, 53920, 50902, 69495, 51146, 63357, 51430, 50800, 54578, 51417, 50415, 51339, 51077, 58060, 50943, 56207, 51218, 50432, 51062, 63837, 51013, 57019, 51177, 50439, 50931, 51112, 67964, 51141, 56415, 51095, 50931, 67768, 56251, 50461, 50968, 50855, 53975, 51661, 50415, 50931, 57780, 50968, 64682, 50931, 53576, 50861, 51048, 50421, 50968, 55155, 50931, 58423, 50968, 53425, 50931, 69245, 51417, 50428, 50968, 57881, 50931, 52844, 50968, 61368, 51255, 50433, 50931, 55782, 50968, 59693, 50931, 53574, 50968, 66407, 51077, 50440, 50931, 54465, 50968, 64294, 55082, 50902, 66291, 58705, 50968, 62111, 50873, 56229, 51238, 50871, 50983, 51996, 51353, 58060, 54243, 50877, 51562, 51339, 51977, 59409, 51116, 57019, 51218, 51062, 63883, 50876, 65223, 50999, 57543, 51218, 50456, 73955, 50876, 50805, 55524, 51591, 50968, 51161, 51836, 50943, 58060, 51111, 56207, 51178, 51430, 51896, 52196, 51452, 59409, 51116, 60496, 51255, 51062, 69279, 50876, 59323, 50999, 51111, 50916, 55069, 50968, 50910, 75022, 51946, 50905, 58479, 51343, 50899, 51364, 50415, 51996, 52071, 57340, 51121, 53645, 60307, 50931, 64608, 54233, 50899, 51218, 50931, 51343, 67964, 51100, 56415, 58705, 50902, 67048, 50849, 54206, 61471, 51336, 57340, 50889, 53337, 55112, 50877, 51100, 51146, 51167, 55898, 78599, 62682, 50877, 55082, 50951, 51235, 50900, 55069, 50861, 50805, 56229, 51496, 50997, 54994, 50871, 50914, 53337, 56217, 50902, 78398, 51121, 62335, 51127, 50902, 50918, 51996, 56532, 51946, 53103, 50871, 50873, 52196, 55247, 50899, 66704, 50871, 51100, 52032, 50866, 55435, 51413, 52196, 51742, 55961, 67689, 58595, 50999, 57260, 69400, 55179, 50931, 52322, 50902, 53177, 50302, 50983, 57428, 51111, 50446, 51946, 65295, 50906, 51016, 50455, 51996, 55670, 50871, 50849, 54960, 51527, 50900, 51538, 51946, 51141, 55902, 51177, 56248, 57173, 50861, 50845, 52338, 50955, 59419, 51203, 50951, 51196, 52338, 53363, 58365, 53562, 50900, 51145, 72786, 51003, 55524, 55385, 51062, 56135, 70266, 51062, 51290, 50900, 51141, 58319, 73320, 50951, 51343, 50916, 51417, 58365, 51100, 55895, 68429, 50861, 67238, 52338, 50971, 56229, 51238, 50871, 50918, 51996, 51353, 58060, 54243, 50877, 51807, 50333, 51977, 59409, 53912, 78549, 51062, 63883, 79377, 60027, 51734, 50325, 53312, 73955, 50876, 50805, 55524, 51486, 50968, 51161, 51836, 50943, 58060, 51116, 56207, 51178, 52196, 51790, 59409, 51116, 50999, 51189, 60496, 51255, 51430, 51336, 75795, 60866, 50931, 68968, 51111, 50916, 55069, 50876, 65655, 50805, 51946, 50901, 58479, 51343, 50899, 51364, 50415, 51996, 53454, 57340, 50943, 53645, 51562, 77431, 64608, 50943, 55898, 51218, 50931, 51343, 67964, 55441, 50871, 58705, 50902, 67048, 50849, 54206, 51446, 51146, 51336, 57340, 51111, 53645, 55112, 50877, 51100, 55898, 78599, 62682, 50877, 55082, 50900, 65934, 61510, 50877, 50805, 56229, 51496, 50997, 54994, 50871, 51100, 53337, 56217, 50902, 78398, 51221, 62335, 51127, 50902, 50918, 51996, 51100, 57428, 75097, 51946, 53140, 50899, 70390, 52196, 55345, 50871, 51124, 50458, 52032, 50822, 55435, 51103, 52196, 51486, 50420, 51081, 50976, 50871, 54243, 50999, 62525, 51204, 77431, 57926, 52424, 50902, 53177, 50302, 50983, 57428, 51116, 65851, 51016, 50454, 51946, 52863, 50871, 66604, 51996, 50822, 54960, 51552, 50900, 51538, 51946, 51189, 55902, 51177, 56248, 57173, 51062, 69718, 50845, 52338, 60465, 51062, 51541, 50916, 51397, 52338, 51675, 58365, 55247, 50900, 51677, 50456, 50951, 56135, 51003, 55524, 65934, 51469, 55902, 51158, 56248, 51141, 58319, 50943, 55203, 58141, 50861, 60763, 51552, 55895, 58705, 50861, 50917, 55331, 51362, 50899, 51103, 57340, 50991, 53645, 51291, 77431, 63621, 51124, 52665, 54233, 50931, 51362, 50899, 74449, 52665, 51191, 67964, 51124, 56415, 51103, 50454, 52665, 61898, 51146, 63621, 50943, 50458, 52338, 50955, 62529, 51364, 50899, 51077, 52665, 50901, 57340, 50914, 51996, 51591, 53645, 51145, 50432, 50999, 53275, 50313, 55965, 50999, 51162, 50899, 51141, 67964, 55082, 50931, 59006, 55069, 50902, 58696, 51177, 56807, 51226, 50900, 51446, 55902, 55973, 77839, 59409, 69718, 51056, 52338, 58346, 50876, 51204, 50900, 51077, 52338, 51218, 58365, 51073, 59758, 51145, 50455, 51946, 56974, 71356, 53975, 51103, 51946, 51486, 50420, 52357, 51354, 50861, 52910, 51487, 51158, 50916, 72816, 51339, 51060, 50861, 54975, 51062, 51167, 50900, 51077, 58365, 73319, 50951, 61027, 56934, 50861, 58681, 51060, 55331, 51274, 50899, 51103, 57340, 50991, 53645, 51291, 77431, 53275, 50313, 51124, 52665, 53264, 50899, 51077, 50931, 51977, 50439, 52665, 51400, 67964, 51124, 56415, 51103, 52665, 70854, 50877, 50943, 50459, 52338, 50867, 54206, 51077, 52665, 68531, 51339, 65274, 50914, 51996, 51894, 50426, 51146, 51111, 71578, 50432, 50999, 58696, 55965, 50931, 53177, 50306, 51141, 67964, 55082, 50902, 51290, 50871, 55069, 50877, 51177, 56807, 51496, 50900, 51446, 55902, 55973, 77839, 59409, 62509, 51056, 52338, 60592, 50876, 51141, 50900, 74449, 52338, 51091, 58365, 51073, 59758, 51145, 50456, 51062, 69718, 51124, 51946, 50865, 59733, 51472, 50900, 51103, 51946, 51358, 55902, 52910, 77839, 58319, 54975, 50951, 60867, 63883, 80033, 70135, 50445, 52196, 67702, 50951, 51227, 50916, 73559, 51946, 61327, 50861, 50849, 56229, 51235, 50871, 51896, 51996, 56100, 50876, 52910, 50877, 51734, 50333, 51685, 59409, 57222, 50877, 66476, 56027, 50871, 51189, 60027, 51800, 50325, 63505, 66285, 75022, 55524, 51623, 50968, 51933, 51946, 53561, 50876, 51073, 56207, 51800, 50332, 51977, 52196, 51103, 59409, 56039, 73822, 51062, 51141, 65827, 58624, 50877, 51158, 50999, 51158, 50451, 51946, 66225, 61827, 50876, 50893, 58479, 51274, 50899, 51356, 51996, 52821, 57340, 50914, 53645, 51417, 77431, 73033, 78583, 50931, 51274, 50899, 64486, 50877, 51116, 56415, 53259, 50456, 50902, 73033, 50889, 54206, 56831, 51274, 57340, 52910, 50899, 53182, 51146, 51379, 50877, 53912, 50899, 67095, 61726, 50877, 52728, 50951, 51160, 50900, 63505, 77916, 56229, 51761, 50997, 51933, 55961, 50889, 53337, 69508, 51062, 53318, 50309, 50914, 50433, 52338, 53470, 50931, 51364, 51062, 51336, 50439, 51836, 54527, 57428, 53794, 50997, 55069, 50931, 57874, 51111, 56807, 51472, 50900, 51077, 51062, 51655, 55902, 52910, 50916, 51215, 58319, 51013, 55203, 52530, 50323, 51527, 58365, 52728, 50900, 61510, 50861, 50805, 51996, 50977, 58479, 51896, 50871, 51896, 51996, 53002, 51201, 51449, 51304, 51449, 51690, 51449, 52037, 51293, 50415, 51132, 51655, 51686, 50981, 59456, 50981, 58060, 51016, 56207, 51111, 51487, 51013, 50427, 52367, 51380, 50758, 50335, 51380, 59409, 51124 ]

[ 0, 250, 32076, 8, 1769, 12, 20764, 19834, 2125, 14, 28337, 15855, 4785, 6, 4246, 10, 13305, 6, 1076, 560, 31365, 25999, 6, 21979, 9590, 6, 6755, 12547, 6, 8, 21072, 4, 8504, 11, 211, 538, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3344, 9, 11098, 8, 15073, 6, 10686, 13, 822, 50, 2365, 304, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50650, 50903, 51003, 51768, 54498, 50903, 50932, 51034, 50903, 51003, 51768, 54498, 50903, 50932, 50449, 52135, 50828, 51652, 51413, 52113, 51472, 79084, 50373, 52258, 51085, 52441, 50916, 51679, 50861, 51310, 50876, 51318, 50968, 51477, 51733, 55776, 53506, 55776, 50415, 51150, 51790, 51510, 50854, 51768, 53199, 53911, 50916, 51477, 50436, 52135, 50820, 51652, 51025, 52113, 51162, 51658, 60433, 50844, 50861, 51400, 50444, 50968, 50897, 50449, 52376, 51413, 51652, 51413, 51633, 51291, 79084, 50373, 52258, 51315, 52140, 51086, 51314, 50899, 51742, 50916, 51662, 50861, 51939, 51384, 55776, 51926, 55776, 50415, 51493, 51692, 51768, 53199, 68412, 55822, 51346, 52457, 51346, 51652, 51227, 51658, 60433, 53783, 51086, 50974, 50449, 52376, 51413, 51667, 51413, 51643, 51291, 79084, 50373, 52258, 51733, 53055, 53506, 53055, 50415, 51216, 51183, 50916, 51419, 50877, 51419, 50876, 51419, 51768, 53199, 68412, 52832, 51056, 52376, 51056, 52135, 51048, 51658, 60433, 50844, 67597, 56756, 60256, 51733, 52618, 53506, 52618, 50439, 51668, 51056, 50448, 55066, 51103, 52832, 51103, 52376, 50918, 79084, 50373, 52258, 51733, 53055, 53506, 53055, 50415, 51493, 51127, 50916, 51419, 50877, 51419, 50876, 51419, 51510, 50854, 51768, 53199, 68412, 52832, 51157, 52376, 51157, 51652, 51290, 51658, 60433, 50844, 67597, 56756, 60256, 51733, 52618, 53506, 52618, 50439, 73964, 50449, 52832, 50828, 52376, 51413, 51667, 51472, 79084, 50373, 52258, 51279, 51447, 68930, 75474, 51028, 51535, 50968, 51535, 51926, 55776, 56939, 55776, 54103, 51413, 50415, 51216, 51518, 51510, 50854, 51768, 53199, 68412, 52832, 50828, 52522, 50828, 52135, 51073, 51658, 60433, 50844, 51027, 63893, 59772, 68218, 61665, 50857, 54103, 51124, 51652, 51124, 51618, 64827, 65700, 50839, 56724, 50839, 52457, 51446, 79084, 50373, 52258, 51120, 51447, 50989, 51535, 75474, 72144, 50902, 51535, 52405, 55776, 53506, 55776, 65576, 51562, 63701, 51562, 50415, 51389, 51790, 51768, 53199, 68412, 63701, 51162, 55066, 51162, 52376, 51345, 51658, 60433, 50844, 50989, 59772, 60982, 59086, 63956, 55822, 53363, 52457, 53363, 51652, 54527, 79084, 50373, 52258, 51214, 51671, 50899, 52919, 50861, 52919, 50973, 52919, 51384, 61489, 54294, 61489, 50415, 51098, 51518, 51510, 50854, 51768, 53199, 63024, 52228, 51112, 51658, 60433, 50844, 52491, 50991, 51618, 64827, 52891, 51566, 51034, 51389, 51675, 50801, 50373, 52258, 51510, 66659, 52491, 51500, 51768, 50844, 51718, 51861, 61868, 52228, 51013, 51658, 60433, 50376, 51861, 50810, 50973, 53743, 53636, 50449, 56724, 50918, 55822, 50918, 52457, 51356, 79084, 55249, 50854, 51214, 53454, 50415, 51098, 51692, 56978, 52919, 51768, 53199, 65860, 54143, 58319, 51218, 50436, 56724, 50914, 55822, 50914, 52376, 52424, 50903, 50844, 50973, 55200, 50902, 51486, 50449, 55822, 51127, 52457, 51127, 51652, 50918, 79515, 51803, 50801, 55249, 50854, 50973, 51742, 51510, 50854, 51768, 53199, 68412, 55822, 50943, 52457, 50943, 51667, 52424, 50903, 50844, 58882, 50449, 52457, 51486, 51652, 51486, 52135, 51161, 79084, 55249, 50854, 51214, 52528, 50899, 51939, 50861, 51939, 50973, 51939, 50415, 51098, 51518, 51768, 53199, 54181, 50903, 50844, 79084, 55249, 50854, 51214, 52140, 50899, 51314, 50916, 51742, 50861, 51662, 50973, 51939, 51652, 51790, 52135, 51790, 52113, 51591, 50415, 51098, 51790, 51768, 53199, 54181, 50903, 50844, 51026, 51645, 55989, 50974, 79084, 55249, 50854, 51315, 52015, 51086, 51679, 50899, 51542, 50916, 51318, 50965, 51318, 52522, 50834, 52185, 51448, 52135, 51448, 51633, 51417, 50415, 51493, 51518, 51768, 53199, 54181, 50903, 50844, 51086, 51277, 50899, 64233, 50974, 52457, 51159, 52185, 51159, 52135, 51048, 79084, 55249, 50854, 51315, 52441, 51086, 51679, 50899, 51310, 50916, 51318, 50965, 51477, 52457, 51562, 52185, 51562, 51643, 51413, 50415, 51493, 51518, 51768, 53199, 53911, 51086, 51477, 50436, 52457, 51109, 52185, 51109, 52135, 51159, 59015, 50844, 50899, 51400, 50444, 75729, 50448, 55066, 52903, 52832, 52903, 52376, 52045, 79084, 55249, 50854, 51279, 51671, 50916, 52919, 50877, 52919, 50876, 52919, 50415, 51216, 51518, 51510, 66659, 52228, 51290, 51768, 53199, 54181, 50903, 50844, 52491, 51345, 50449, 52891, 51055, 51034, 51984, 51675, 50801, 55249, 50854, 51768, 53199, 50854, 52491, 56158, 50903, 50844, 59855, 52228, 51362, 50449, 65700, 50828, 55066, 51413, 52457, 51472, 79084, 55249, 50854, 51120, 51671, 50989, 52919, 50877, 52919, 50876, 52919, 50902, 52919, 63701, 51413, 50415, 51389, 51518, 51768, 53199, 68412, 63701, 51267, 55066, 51267, 52376, 51157, 59015, 64913, 55066, 51413, 52832, 51413, 52522, 51472, 51034, 51216, 51675, 50801, 55249, 50854, 51510, 50854, 51768, 53199, 54181, 50903, 50844, 80255, 52832, 51025, 52522, 51025, 51667, 51162, 79084, 55249, 69303, 54143, 50877, 54143, 50876, 54143, 50902, 54143, 52522, 51518, 51667, 51518, 51643, 51538, 50415, 51389, 51518, 51768, 53199, 54181, 50903, 64913, 52522, 51486, 51667, 51486, 52113, 51933, 51034, 51216, 51675, 50801, 55249, 50854, 51768, 53199, 54181, 50903, 50844, 50989, 53131, 50313, 53131, 50316, 53131, 50318, 51254, 50449, 52522, 51413, 51667, 51413, 51633, 51472, 79084, 55249, 50854, 51120, 53454, 50415, 51389, 51518, 51510, 50854, 51768, 53199, 65860, 54143, 50432, 50989, 51218, 50436, 52522, 51377, 51667, 51377, 52226, 51112, 59015, 50844, 50877, 55200, 50876, 51486, 50448, 52522, 51413, 51667, 51413, 51643, 51472, 51034, 51216, 51675, 50801, 55249, 69539, 51742, 51768, 53199, 68412, 52522, 51025, 51667, 51025, 51643, 51162, 59015, 50844, 68532, 50448, 52457, 52903, 51652, 52903, 52135, 54300, 79084, 55249, 65860, 54143, 50861, 54143, 50973, 54143, 50415, 51098, 51692, 50425, 52228, 51345, 51768, 53199, 63443, 52491, 51227, 59015, 64913, 52891, 51290, 79515, 51803, 50801, 55249, 66659, 52491, 51227, 51768, 53199, 63443, 52228, 51290, 59015, 50844, 50899, 74998, 53131, 50315, 51254, 79084, 55249, 50854, 51214, 53454, 56724, 51103, 55822, 51103, 52457, 51336, 50415, 51098, 51518, 56978, 52919, 51768, 53199, 65860, 54143, 58319, 51218, 50437, 56724, 50914, 55822, 50914, 52376, 52424, 50903, 50844, 50973, 55200, 50902, 51486, 51034, 51389, 51675, 50801, 55249, 50854, 50973, 51742, 55822, 51103, 52457, 51103, 51652, 50918, 51510, 50854, 51768, 53199, 63443, 55822, 51159, 52457, 51159, 51667, 51073, 59015, 50844, 58882, 50449, 52457, 51486, 51652, 51486, 52135, 51933, 79084, 55249, 50854, 51214, 52015, 50899, 51679, 50861, 51542, 50973, 51318, 50902, 51318, 50415, 51098, 51518, 51768, 53199, 50854, 51026, 55002, 59015, 50844, 50899, 51277, 50861, 68219, 50974, 50449, 51652, 51518, 52135, 51518, 52113, 51538, 79084, 55249, 50854, 51214, 52140, 50899, 51314, 50916, 51742, 50861, 51662, 50973, 51939, 50415, 51098, 51518, 51510, 50854, 51768, 53199, 54181, 50903, 50844, 51026, 51645, 55989, 50974, 50448, 52522, 50841, 52135, 51417, 51633, 51291, 79084, 55249, 50854, 51214, 53454, 52457, 51417, 50415, 51098, 51692, 56978, 52919, 51768, 53199, 65860, 54143, 58319, 51218, 50435, 52457, 50915, 51652, 50915, 52135, 56389, 50903, 50844, 50973, 55200, 50902, 51486, 50447, 55822, 51103, 52457, 51103, 51667, 51336, 79515, 51803, 50801, 55249, 50854, 50973, 51742, 51768, 53199, 56529, 55822, 50943, 52457 ]

[ 0, 713, 17627, 17274, 5175, 3495, 2214, 6, 278, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 1575, 10, 20902, 11739, 9, 2236, 1021, 2678, 29, 6, 3152, 6757, 6, 21072, 6, 486, 118, 9877, 483, 6, 8, 13305, 4, 20, 33301, 16, 3185, 30, 41, 20425, 12447, 1001, 20889, 9, 12312, 163, 5683, 6, 2351, 10, 33558, 8, 2365, 5466, 19, 10, 11602, 9, 1619, 9450, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 274, 8, 272, 119, 406, 6, 8216, 7, 5, 2214, 18, 1374, 32076, 8, 15352, 30054, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50796, 53028, 55229, 56270, 56890, 51471, 50799, 52517, 51058, 52088, 51006, 52086, 51006, 52561, 51006, 50964, 53656, 67152, 53420, 52517, 50827, 52088, 50874, 52086, 50874, 52561, 50827, 50953, 57104, 52517, 51006, 52088, 51006, 52086, 51058, 52561, 51058, 50964, 57685, 67853, 53575, 52517, 50874, 52088, 50827, 52086, 50827, 52561, 50827, 50953, 56180, 52517, 51006, 52088, 51058, 52086, 51058, 52561, 51058, 50964, 57685, 67152, 53594, 52517, 50827, 52088, 50874, 52086, 50827, 52561, 50827, 50953, 58175, 52517, 51006, 52088, 51006, 52086, 51006, 52561, 51058, 50964, 53656, 67152, 53553, 52517, 50827, 52088, 50874, 52086, 50874, 52561, 50874, 50953, 51008, 50461, 51070, 50835, 50799, 55760, 61373, 56813, 59802, 52024, 50420, 53366, 50805, 51070, 52917, 53038, 50805, 50431, 51070, 53575, 52746, 51646, 51070, 58616, 51070, 53594, 53038, 51798, 51964, 50805, 50455, 51070, 53553, 72398, 50799, 51070, 61132, 51070, 53575, 52517, 50838, 52088, 50974, 52086, 50838, 52561, 50838, 51070, 57667, 51070, 52875, 53366, 50805, 51070, 50371, 50790, 50560, 52802, 52517, 50974, 52088, 50838, 52086, 50974, 52561, 50838, 51837, 50880, 53519, 50880, 55374, 50880, 53038, 50805, 50455, 51070, 53553, 51964, 69189, 51070, 50835, 50799, 55760, 50805, 54753, 63560, 53366, 50805, 51070, 52917, 53038, 55185, 52925, 52746, 50805, 51070, 53018, 51070, 53162, 53038, 50805, 51070, 52805, 51964, 55185, 53268, 52785, 50795, 51070, 57243, 51070, 50835, 50799, 54488, 50846, 52301, 50808, 51829, 50805, 55193, 62192, 52836, 50938, 50419, 51070, 53420, 52301, 52450, 51829, 50830, 55193, 50830, 52836, 50938, 58073, 54640, 59483, 51070, 53575, 52301, 50889, 51829, 50889, 52836, 50889, 55193, 50807, 53222, 57405, 51070, 60862, 51070, 53594, 56723, 53366, 50805, 56322, 50818, 51579, 50880, 52336, 55206, 57740, 54753, 57415, 51186, 50805, 53038, 50805, 55193, 50805, 52629, 50880, 51579, 51139, 53966, 63318, 51070, 53553, 51133, 50805, 51964, 50795, 52836, 66684, 50805, 51341, 50805, 51020, 50805, 51193, 51060, 52336, 50880, 51579, 54451, 51044, 54625, 50798, 50829, 52534, 50795, 55760, 50795, 54753, 51492, 51341, 51003, 51020, 50915, 51193, 51003, 51118, 50915, 51070, 54366, 55274, 67853, 56260, 59802, 75361, 56723, 53366, 50805, 51070, 55623, 53150, 58819, 53038, 60109, 50818, 51341, 68204, 50846, 51193, 58549, 58064, 59278, 51070, 53575, 73514, 52746, 50805, 70658, 51118, 50846, 51341, 50818, 51020, 50846, 51193, 52922, 51539, 55274, 52875, 51186, 50805, 53038, 66684, 50820, 51341, 50820, 65062, 51193, 54018, 52223, 53618, 53409, 58531, 51964, 66684, 50818, 51341, 68204, 50846, 51193, 51239, 58064, 54518, 63318, 51070, 53553, 61269, 52785, 66684, 50805, 51341, 58281, 69728, 51111, 52105, 71635, 78429, 59870, 50845, 51118, 51101, 51070, 54366, 55274, 51750, 63632, 51070, 53420, 51118, 50846, 51341, 68204, 73818, 51044, 52870, 51118, 50839, 51341, 50820, 63488, 51023, 50378, 50790, 50560, 54518, 51044, 61682, 59278, 51070, 53575, 51118, 50818, 51341, 68204, 73818, 51239, 53116, 51070, 51539, 55274, 53162, 56723, 53366, 66684, 78319, 58281, 69728, 51111, 51070, 50371, 50790, 50560, 54147, 53618, 53409, 51186, 50805, 53038, 66684, 50820, 51341, 50839, 63488, 51023, 51467, 58064, 54518, 53685, 51133, 50805, 51964, 66684, 50846, 51341, 68204, 50818, 51023, 52922, 52223, 50841, 52534, 50795, 55760, 60109, 51003, 51341, 50915, 51020, 51003, 51193, 50915, 51070, 54366, 55274, 51750, 53829, 56723, 53366, 50805, 51070, 55623, 53150, 51186, 50805, 53038, 66684, 50818, 51341, 50818, 51020, 73938, 51044, 53966, 59520, 52953, 73514, 52746, 66684, 50818, 51341, 68204, 73938, 52922, 52223, 57320, 51070, 52621, 51118, 50839, 51341, 50820, 63488, 51193, 58064, 51750, 53806, 51186, 50805, 53038, 66684, 50846, 51341, 50818, 51020, 73938, 52922, 56240, 51179, 53083, 58531, 51964, 52918, 51179, 61682, 53017, 55436, 52785, 60109, 78319, 58281, 57965, 51111, 51070, 52223, 54814, 50798, 57335, 51070, 50835, 50799, 54488, 50846, 55193, 51204, 51829, 51141, 51341, 50901, 51020, 50901, 51023, 50845, 51118, 51177, 52358, 55274, 56075, 52836, 51091, 50419, 51070, 53420, 51118, 50818, 51341, 68204, 73818, 51044, 52870, 51341, 50901, 51020, 50901, 51023, 50901, 51118, 51177, 58073, 55018, 51179, 61682, 52953, 51829, 50807, 52836, 50807, 55193, 50807, 51118, 50846, 51341, 68204, 50818, 51023, 52922, 52223, 57320, 51070, 52621, 51020, 51370, 55274, 52875, 60908, 53366, 50805, 56322, 50846, 51193, 50795, 51579, 50880, 52336, 58724, 50371, 50790, 50560, 55136, 53347, 60372, 54753, 57415, 51186, 50805, 53038, 50805, 55193, 74423, 50805, 52629, 50880, 51579, 63856, 67853, 53966, 63318, 51070, 53553, 51133, 50805, 51964, 50795, 51280, 50806, 51561, 72306, 50911, 51308, 50911, 52836, 66684, 50805, 51341, 50805, 51020, 57965, 51111, 51579, 50880, 52336, 50930, 66951, 60634, 51070, 50835, 50799, 51813, 50889, 55917, 55760, 50805, 54753, 52024, 52047, 78319, 51003, 51020, 51003, 51193, 51003, 51118, 51003, 51587, 55136, 69485, 56260, 59802, 52024, 50420, 60908, 53366, 50805, 51401, 50805, 51070, 55623, 53150, 51855, 50910, 58819, 53038, 60109, 50846, 51341, 68204, 73938, 50818, 51557, 51626, 55274, 51750, 52667, 51813, 50830, 52053, 50805, 52746, 78319, 50805, 51070, 52223, 52950, 51882, 50807, 51070, 57423, 51750, 62860, 51070, 53594, 58819, 53038, 50795, 51557, 60109, 78319, 58281, 50805, 51193, 51060, 52358, 53083, 51855, 50938, 58531, 51964, 66684, 50839, 51341, 50820, 65062, 51193, 77356, 52918, 51179, 61682, 58677, 51070, 53553, 51813, 50830, 61269, 52785, 50795, 51280, 50911, 51561, 50911, 51119, 50806, 51616, 66684, 50805, 51341, 50805, 51020, 57965, 51111, 52105, 50461, 51070, 50835, 50799, 51882, 50889, 51341, 78429, 59870, 50845, 51118, 51177, 52358, 59520, 61132, 51070, 53420, 51118, 50846, 51341, 50818, 51020, 73818, 51044, 52870, 51855, 74428, 50820, 51341, 50820, 65062, 51023, 53784, 51044, 58064, 52818, 51813, 74428, 50846, 51341, 50818, 51020, 73818, 52922, 52223, 52950, 51882, 50807, 51070, 51539, 59520, 58616, 51070, 53594, 60908, 53366, 63215, 60109, 50805, 51341, 58281, 57965, 65764, 52493, 53068, 51855, 50830, 51186, 50805, 53038, 60109, 50839, 51341, 50839, 63488, 51023, 50839, 51557, 52918, 51044, 58064, 59842, 51070, 53553, 51813, 50830, 51133, 50805, 51964, 50805, 51280, 50806, 51561, 50806, 75916, 51308, 73734, 50818, 51341, 50818, 51020, 50818, 51023, 50846, 51118, 51370, 50841, 50799, 51813, 50807, 61415, 55760, 50795, 52047, 60109, 50915, 51341, 50915, 51020, 50915, 51193, 50915, 51070, 51539, 55274, 55136, 63632, 51070, 53420, 60908, 53366, 63215, 52472, 53516, 51855, 50938, 58819, 53038, 60109, 50846, 51341, 68204, 50846, 51193, 50818, 51557, 52918, 51044, 58064, 60741, 51070, 53575, 51813, 50830, 52053, 50805, 52746, 60109, 50846, 51341, 68204, 73938, 50846, 51341, 50805, 70658, 51882, 50807, 51118, 50820, 51341, 50820, 65062, 51193, 53518, 57423, 51750, 53806, 51186, 50805, 53038, 66684, 50846, 51341, 68204, 73938, 50846, 51557, 50795, 51070, 56240, 51044, 53083, 51855, 50830, 51133, 50805, 51964, 60109, 52918, 51044, 58064, 53017, 51813, 50830, 55436, 72398, 51280, 50806, 51561, 50806, 51119, 50806, 51616, 66684, 78319, 58281, 69728, 51060, 51070, 52223, 54625, 50798, 57335 ]

[ 0, 250, 15855, 19834, 15229, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 2351, 10, 25306, 8, 19448, 5466, 4, 20, 2125, 16, 11, 163, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8403, 13410, 228, 2289, 6, 8, 22848, 15352, 30054, 33083, 14, 35334, 10, 1472, 9, 9066, 2821, 16235, 6, 150, 67, 11602, 154, 23, 10, 1619, 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 ]

[ 57530, 50796, 50456, 56590, 52015, 51601, 50654, 50334, 52045, 58312, 52071, 50420, 55741, 52916, 50426, 53022, 75925, 50727, 50327, 50808, 61370, 53259, 50435, 74854, 51724, 50727, 50327, 52045, 52239, 51391, 50444, 50727, 50327, 62236, 56590, 51803, 50447, 74854, 51757, 50727, 50327, 52045, 50457, 55741, 50942, 51601, 56163, 51945, 50423, 55479, 54830, 50427, 52822, 52168, 50433, 53139, 52335, 50451, 61370, 51196, 50461, 53856, 52069, 50799, 55402, 51097, 50415, 59940, 55385, 53022, 54829, 50427, 52248, 73078, 70776, 68484, 52269, 51591, 50435, 50727, 50330, 51724, 50727, 50332, 51343, 50444, 70776, 56762, 50727, 50330, 51757, 50727, 50332, 51343, 52449, 51353, 50456, 50727, 50330, 50859, 53022, 50987, 50459, 70776, 50859, 50799, 50727, 50327, 51655, 55479, 51151, 54106, 51605, 50420, 50727, 50330, 50859, 52706, 56599, 50423, 70776, 53950, 50727, 50327, 51655, 52239, 51677, 50432, 53388, 51749, 50460, 54106, 50984, 50799, 53652, 51077, 60117, 51336, 55402, 54300, 50420, 52706, 79416, 50727, 50296, 61033, 53381, 51013, 50428, 50727, 50299, 61938, 50727, 50303, 58734, 50727, 50306, 57160, 50727, 50309, 59347, 50727, 50313, 54288, 70210, 59990, 77526, 56305, 50727, 50323, 52600, 50727, 50327, 50839, 70776, 51095, 50439, 53282, 51274, 54106, 51343, 55741, 51446, 50446, 50727, 50327, 51215, 50449, 53564, 67081, 70776, 51095, 50454, 74854, 73499, 53381, 51100, 50458, 50727, 50327, 51215, 51057, 50727, 50323, 50980, 58312, 51055, 53559, 51290, 53139, 51356, 50418, 74854, 72598, 50727, 50327, 50948, 50727, 50323, 50980, 50427, 54999, 50991, 52706, 51159, 52449, 51346, 50432, 50727, 50332, 53660, 50727, 50334, 50821, 50799, 50727, 50327, 50948, 50727, 50335, 52500, 53395, 51896, 63275, 51538, 50415, 53559, 51077, 53139, 79767, 50727, 50332, 54007, 50727, 50334, 52422, 50727, 50335, 52500, 50456, 56184, 54484, 50799, 53856, 55490, 50419, 53022, 51145, 50425, 55402, 53363, 52248, 51671, 50431, 56590, 51748, 50432, 50727, 50327, 59894, 70776, 51192, 50443, 53559, 51422, 50444, 50727, 50327, 50948, 50446, 50727, 50327, 66070, 70776, 51192, 50452, 53022, 52254, 50454, 74854, 51192, 50458, 50727, 50327, 51192, 50799, 50727, 50323, 51226, 53139, 51310, 50418, 74854, 51192, 50419, 53856, 51662, 50426, 50727, 50323, 51226, 53022, 63160, 50431, 52248, 51749, 50432, 77526, 53660, 50727, 50322, 55381, 50727, 50323, 66442, 77526, 50821, 52449, 52011, 50446, 50727, 50322, 51192, 50447, 50727, 50322, 50882, 50449, 53559, 64949, 50727, 50323, 51173, 50454, 77526, 68179, 52248, 70634, 50727, 50322, 51192, 50461, 55741, 51161, 53282, 52024, 50799, 50727, 50323, 52195, 53139, 51359, 50418, 77526, 68114, 50727, 50323, 52195, 50432, 52239, 77494, 50727, 50327, 54787, 50727, 50331, 53153, 50727, 50323, 50859, 52248, 51313, 50453, 74854, 54418, 50727, 50327, 50858, 50727, 50327, 54863, 50727, 50331, 50821, 50727, 50331, 50894, 61791, 50727, 50323, 50859, 50727, 50334, 68621, 55741, 56599, 53388, 55490, 52239, 59125, 50417, 74854, 50859, 50727, 50335, 53113, 50727, 50327, 50858, 50727, 50334, 51685, 50423, 50727, 50331, 54631, 50727, 50334, 57781, 50727, 50335, 52686, 50727, 50334, 51685, 50438, 51335, 51306, 50439, 51335, 51258, 50440, 51335, 50364, 51865, 66065, 51335, 51004, 50442, 51335, 65112, 51335, 50367, 51865, 53858, 51335, 59892, 51335, 59265, 51335, 69417, 54673, 51335, 62749, 51335, 57723, 51335, 67853, 52772, 51335, 57136, 51335, 63075, 51335, 61731, 54859, 51335, 59617, 51335, 60233, 51335, 63055, 53173, 51335, 57430, 51335, 56637, 51335, 69485, 56924, 51335, 65493, 51335, 67327, 51335, 68739, 50949, 50799, 51558, 52988, 51182, 51445, 58312, 50835, 53022, 51991, 53139, 50995, 56590, 51486, 51335, 56621, 53388, 52140, 50423, 53339, 53950, 53339, 50865, 53559, 51742, 50432, 52196, 56535, 51946, 56359, 52196, 59826, 53139, 76297, 50441, 51946, 51175, 53721, 54988, 61370, 70388, 50654, 50334, 58760, 59940, 73184, 56590, 52392, 50461, 51304, 51313, 51266, 51449, 51601, 55402, 51538, 52822, 51894, 50421, 52239, 54830, 50426, 53064, 50859, 52269, 51518, 50429, 51946, 63385, 52196, 54362, 51946, 51345, 53559, 52222, 50447, 51236, 55230, 59940, 51196, 51889, 56328, 56184, 51121, 50455, 55402, 62990, 53139, 51310, 50461, 51304, 51445, 51284, 51313, 50799, 53856, 53588, 50420, 53022, 54830, 50423, 52196, 65418, 52248, 74612, 52196, 65337, 52196, 70328, 52269, 51183, 50434, 51946, 65582, 52449, 51141, 53139, 68499, 52196, 59357, 53339, 56762, 52196, 51175, 50913, 54353, 51946, 50858, 52248, 62355, 52196, 63604, 51266, 51166, 51600, 51148, 51558, 51313, 50799, 53339, 50980, 55741, 51605, 56590, 52536, 53559, 51364, 54106, 51264, 50426, 53339, 50859, 53381, 51244, 50429, 52196, 54154, 52196, 50858, 53388, 51318, 50435, 53780, 51362, 50437, 51395, 51562, 50438, 53282, 51417, 50450, 53564, 79195, 54403, 52269, 50892, 50799, 51304, 51148, 51733, 51047, 56163, 51661, 53139, 50948, 52449, 50936, 50417, 55479, 67729, 52822, 50896, 50423, 54012, 50858, 53022, 52910, 54012, 65337, 57570, 52686, 52239, 51111, 50434, 53883, 56535, 52822, 61055, 51284, 67608, 57570, 50936, 51384, 51703, 54999, 51285, 53381, 51362, 52248, 51274, 50441, 53856, 51295, 50444, 54012, 71643, 52706, 51274, 50447, 52601, 51167, 50448, 52269, 62805, 52601, 57264, 52601, 65706, 51182, 51108, 51558, 51003, 50799, 52601, 50821, 55479, 51238, 53139, 51013, 56590, 51013, 50417, 54012, 50858, 52706, 51534, 50420, 52601, 50948, 52239, 69904, 52449, 50925, 50425, 51600, 51108, 51284, 57908, 52601, 50936, 54106, 50991, 60117, 51345, 53652, 51896, 50429, 52706, 55378, 52196, 50858, 53381, 57807, 53339, 50821, 53388, 51627, 50437, 51558, 51183, 51182, 64345, 52196, 50858, 58312, 51291, 53559, 51472, 53139, 51294, 50441, 51946, 51379, 50447, 51236, 55230, 53022, 51199, 51889, 73361, 51266, 53588, 51304, 51243, 52269, 51351, 52449, 50807, 50799, 56163, 51605, 53559, 52392, 53139, 52536, 50419, 55479, 52916, 50423, 51836, 68208, 52822, 51790, 50426, 51836, 58129, 51836, 70192, 52269, 52440, 50437, 52239, 51391, 50438, 54012, 59357, 54012, 54787, 53883, 76335, 54012, 51095, 50460, 51284, 51047, 50461, 51266, 51145, 50799, 53282, 52151, 55741, 55116, 50415, 53388, 52528, 50426, 57570, 57611, 57570, 56535, 53883, 64141, 51600, 51145, 51558, 60934, 57570, 50858, 52248, 53233, 50441, 53883, 54651, 57570, 51541, 50461, 51395, 51353, 50799, 51558, 51097, 51558, 51313, 71627, 51016, 56590, 51345, 50426, 51284, 50943, 71960, 51013, 55402, 51025, 50437, 51182, 56692, 61370, 51013, 50439, 56184, 59731, 51600, 51003, 51335, 51306, 50451, 61069, 51345, 50654, 50334, 51073, 51335, 51129, 50452, 51335, 50365, 51865, 60491, 51335, 67827, 51335, 61634, 51335, 66816, 53217, 51335, 57534, 51335, 57029, 51335, 63465, 54814, 51335, 61698, 51335, 56904, 51335, 67123, 50883, 73296, 53577, 51266, 55490, 51558, 51449, 51182, 52204, 58312, 51933, 51493, 51274, 51335, 58410, 61370, 51013, 56590, 50807, 59940, 50807, 50421, 55741, 56329, 50423, 53339, 54149, 53339, 50948, 50427, 53022, 56217, 51836, 50821, 53388, 51191, 50435, 53339, 50895, 51668, 72581, 51836, 56360, 53139, 54089, 53559, 51013, 51984, 58909, 53339, 51167, 53262, 54952, 53022, 51189, 52078, 51354, 53721, 54988, 53388, 51048, 50453, 53262, 54403, 54999, 50865, 51984, 54863 ]

[ 0, 713, 33558, 5175, 2214, 1575, 10, 11739, 9, 6755, 12547, 6, 13305, 6, 21979, 8, 3459, 29589, 6, 8, 38668, 11212, 6, 2351, 10, 15352, 30054, 8, 11653, 5466, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 1769, 20889, 9, 10529, 163, 5683, 6, 5, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 272, 119, 406, 6, 230, 6, 8, 274, 4620, 5, 46336, 24456, 9, 42, 17627, 17274, 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 ]

[ 56236, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 61357, 50967, 51303, 50967, 51414, 50967, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 51343, 51638, 51492, 51251, 51492, 51154, 51492, 51165, 50918, 52095, 52054, 53611, 58172, 51248, 52492, 51039, 53611, 54252, 55285, 56081, 51420, 53220, 51410, 50855, 51303, 50855, 51414, 54345, 51049, 52765, 51410, 50867, 51303, 50867, 51414, 50867, 51037, 50955, 74055, 55285, 50867, 66058, 54524, 57387, 54378, 51526, 51239, 50372, 52492, 50438, 51303, 50967, 51249, 50967, 51327, 50967, 51457, 50967, 51526, 51215, 51113, 59770, 52085, 57366, 52021, 51535, 51248, 52492, 50444, 51037, 51477, 57387, 55118, 55285, 50904, 50848, 51679, 50850, 51412, 51526, 51111, 71330, 51303, 50855, 51249, 50855, 51327, 50855, 51457, 54345, 51049, 52809, 51303, 50867, 51249, 50867, 51327, 50867, 51457, 50867, 52066, 50456, 55285, 50867, 58056, 51526, 53417, 50812, 76362, 61357, 51551, 51303, 51551, 51414, 51551, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 51227, 51165, 50918, 52506, 52085, 58172, 51248, 52492, 51039, 53611, 54252, 52584, 51235, 79451, 65250, 52765, 51037, 50955, 74055, 66058, 55298, 54273, 50812, 57387, 54378, 51248, 52492, 50438, 51303, 51551, 51249, 51551, 51327, 51551, 51457, 51551, 52021, 51542, 50848, 51419, 78949, 51526, 50924, 51113, 59770, 52085, 57366, 73517, 50371, 52492, 50444, 54524, 57387, 55118, 51526, 51582, 54596, 55298, 53338, 51049, 52809, 68069, 55298, 50897, 52066, 50456, 65491, 51526, 52153, 54421, 52636, 50851, 61357, 51551, 51303, 51551, 51414, 51551, 51526, 51227, 51165, 50918, 52506, 52085, 58172, 52021, 51535, 51248, 52492, 58082, 51477, 57387, 54252, 50872, 51679, 51007, 51412, 52584, 51235, 52506, 66826, 53365, 51532, 54150, 55298, 54273, 50812, 57387, 54378, 51248, 52492, 50438, 51303, 50967, 51249, 50967, 51327, 50967, 51457, 50967, 51526, 51227, 51113, 59770, 52085, 57366, 52021, 51295, 50852, 50371, 52492, 50444, 74732, 57387, 55118, 55285, 50904, 50848, 51542, 69590, 52584, 51235, 71330, 51303, 50855, 51249, 50855, 51327, 50855, 51457, 54345, 51049, 52809, 51303, 50867, 51249, 50867, 51327, 50867, 51457, 50867, 52066, 50456, 55285, 50867, 55298, 51575, 50812, 76362, 61357, 51551, 51303, 51551, 51414, 51551, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 51227, 51165, 50918, 52957, 57798, 50822, 53214, 50907, 51039, 67194, 54252, 52584, 51235, 51553, 50810, 51544, 54592, 50579, 55658, 51037, 65245, 52749, 66058, 55298, 51239, 56537, 50579, 53611, 54378, 51526, 52502, 54584, 51303, 51309, 51249, 51309, 51327, 51309, 51457, 51309, 52021, 51542, 50848, 51419, 78949, 51526, 51215, 51113, 50918, 51895, 50994, 57366, 51224, 50380, 52492, 51180, 67194, 55118, 51303, 50820, 51249, 50820, 51327, 50820, 51457, 50820, 51526, 51111, 51289, 64824, 67786, 62375, 68069, 51289, 52863, 65491, 51526, 67105, 51049, 65319, 52234, 52054, 50810, 61357, 51309, 51303, 51309, 51414, 51309, 52021, 51542, 50872, 51419, 50939, 51391, 51526, 50924, 51165, 50918, 52095, 52054, 53611, 58172, 51248, 52492, 51039, 53611, 54252, 51410, 50820, 51303, 50820, 51414, 50820, 51526, 52423, 51420, 53220, 55298, 50895, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 52957, 52765, 51037, 50955, 55298, 50897, 74055, 66058, 67180, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 54524, 57387, 54378, 51248, 52492, 50438, 51303, 51309, 51249, 51309, 51327, 51309, 51457, 51309, 51526, 51343, 51113, 50918, 51256, 50811, 51893, 50811, 52693, 50811, 55796, 51156, 52085, 57366, 52021, 51535, 51248, 52492, 50444, 51037, 51477, 51256, 51059, 51893, 51059, 52693, 51059, 55796, 51059, 57387, 55118, 51303, 50820, 51249, 50820, 51327, 50820, 51457, 61585, 51679, 50850, 51412, 52066, 70508, 51647, 54622, 50909, 57837, 54421, 51526, 51239, 50851, 61357, 50967, 51303, 50967, 51414, 50967, 51526, 50924, 51165, 50918, 51209, 51059, 52004, 51059, 52507, 51059, 56336, 51059, 52506, 52085, 58172, 52021, 51535, 51248, 52492, 58082, 51477, 57387, 54252, 55285, 50904, 50872, 51679, 51007, 51412, 51526, 52423, 51420, 53220, 51410, 50855, 51303, 50855, 51414, 50855, 55298, 53338, 51049, 52765, 51410, 50867, 51303, 50867, 51414, 50867, 55298, 50897, 74055, 55285, 50867, 67180, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 54524, 57387, 54378, 51248, 52492, 50438, 51303, 51551, 51249, 51551, 51327, 51551, 51457, 51551, 52021, 51542, 50848, 51419, 78949, 51526, 51175, 51113, 50918, 51322, 50860, 51390, 50860, 52583, 50860, 53679, 52715, 52085, 57366, 50801, 59661, 52492, 50444, 52000, 51029, 51408, 51029, 54522, 51029, 53361, 51029, 54524, 57387, 55118, 51526, 51049, 50851, 67369, 52809, 68069, 52066, 50456, 65491, 51526, 56022, 54421, 73517, 50822, 66513, 51309, 51651, 51309, 51414, 51309, 51457, 51309, 52021, 51542, 50848, 51419, 50992, 51391, 51526, 51343, 51375, 50918, 52506, 52085, 58172, 51248, 52492, 51039, 53611, 54252, 51303, 50820, 51651, 50820, 51414, 50820, 51457, 54169, 51420, 50851, 65250, 52765, 51396, 50955, 74055, 65491, 52000, 50860, 51408, 50860, 54522, 50860, 53361, 50860, 54524, 57387, 54378, 51526, 51239, 50372, 52492, 50438, 51303, 51309, 51231, 51309, 51414, 51309, 51457, 51309, 52021, 51047, 50848, 51047, 75092, 51526, 51227, 77853, 51322, 51066, 51390, 51066, 52583, 51066, 53679, 58834, 52085, 57366, 51248, 52492, 51180, 53611, 55118, 51303, 50820, 51231, 50820, 51414, 50820, 51457, 50820, 52584, 51235, 71330, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 50860, 52957, 52809, 50988, 53096, 52066, 50456, 55298, 50846, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 52715, 54421, 51526, 51239, 50851, 66513, 51351, 51651, 51351, 51414, 51351, 51457, 51351, 52021, 51542, 50848, 51419, 50992, 51391, 51526, 51227, 75920, 51209, 51066, 52004, 51066, 52507, 51066, 56336, 51066, 52506, 52085, 58172, 51248, 52492, 51039, 53611, 54252, 52584, 51235, 52506, 53220, 51322, 50860, 51390, 50860, 52583, 50860, 53679, 50860, 52957, 52765, 55285, 50941, 51396, 50955, 74055, 51303, 50841, 51651, 50841, 51414, 50841, 51457, 62660, 50959, 55298, 50846, 51256, 50811, 51893, 50811, 52693, 50811, 55796, 52750, 50812, 57387, 54378, 55285, 50891, 51526, 51239, 50372, 52492, 50438, 51303, 51551, 51231, 51551, 51414, 51551, 51457, 51551, 51526, 51227, 51088, 59770, 52085, 57366, 52021, 51535, 50801, 59661, 52492, 50444, 51037, 51477, 51256, 51059, 51893, 51059, 52693, 51059, 55796, 51059, 54524, 57387, 55118, 50848, 51679, 50847, 51412, 52584, 51235, 52066, 70508, 51647, 54622, 63573, 55298, 51239, 54421, 51526, 54376, 51373, 50851, 61323, 51551, 51303, 51551, 51249, 51551, 51132, 51227, 52506, 52085, 58172, 51164, 51535, 51248, 52492, 57783, 51477, 57387, 54252, 50872, 51679, 50909, 51412, 51416, 51235, 52506, 66826, 53365, 51532, 54150, 52584, 54273, 50812, 57387, 54378, 51248, 52492, 50438, 51687, 51551, 51303, 51551, 51249, 51551, 51327, 51551, 51164, 51542, 50979, 51419, 78949, 51132, 51175, 51256, 50860, 51893, 50860, 52693, 50860, 55796, 52715, 52085, 57366, 51248, 52492, 50444, 51256, 51066, 51893, 51066, 52693, 51066, 55796, 51066, 57387, 55118, 51132, 51049, 50851, 67369, 52809, 68069, 52066, 50456, 50979, 50959, 75430, 51256, 50860, 51893, 50860, 52693, 50860, 55796 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 4246, 21072, 6, 5730, 2342, 4467, 6, 38668, 11212, 6, 38668, 483, 6, 8, 36075, 8669, 6, 278, 11, 10, 1769, 132, 73, 306, 86, 6543, 8, 5, 762, 9, 230, 3694, 6, 19, 5, 1049, 40286, 145, 230, 119, 8, 2060, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 76178, 58700, 55811, 51846, 55811, 50986, 55811, 51511, 51376, 51143, 51376, 51344, 51376, 50420, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 58116, 51504, 52514, 51246, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 54689, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 61036, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 55487, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 71113, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 73505, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 58554, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55256, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 60754, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55835, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 61545, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 50971, 58700, 55811, 51846, 55811, 50986, 55811, 51511, 51376, 51143, 51376, 51344, 51376, 50420, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 58116, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 54689, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 61036, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 55487, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 71113, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 73505, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 58554, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55256, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 60754, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55835, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 61545, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 50971, 58700, 55811, 51846, 55811, 50986, 55811, 51511, 51376, 51143, 51376, 51344, 51376, 50420, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 58116, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 54689, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 61036, 51504, 52514, 51846, 52514, 50986, 52514, 51511, 50971, 51143, 50971, 51344, 55487, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 71113, 51846, 55811, 50986, 55811, 50970, 55811, 51143, 51376, 51344, 51376, 51849, 73505, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 58554, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55256, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 60754, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 55835, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 61545, 51846, 52514, 50986, 52514, 50970, 52514, 51143, 50971, 51344, 50971, 51849, 50971, 50799, 51846, 55811, 51317, 55811, 50970, 55811, 51548, 51376, 51344, 51376, 51849, 51376, 50843, 51025, 52356, 64738, 64965, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 58116, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 54689, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 55863, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 52810, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 54350, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 52781, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 56714, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 53524, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 54417, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 52800, 57496, 50866, 52754, 50866, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 55726, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 53211, 57496, 50866, 52754, 50866, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 54655, 51846, 52514, 51317, 52514, 50970, 52514, 51548, 50971, 51344, 50971, 51849, 59392, 50813, 50799, 55663, 51101, 54464, 51101, 51504, 57070, 51846, 57070, 50986, 57070, 51511, 52192, 51143, 52192, 51344, 52192, 51140, 51025, 70610, 51904, 50583, 56598, 58928, 53440, 52501, 53299, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 76391, 53910, 59018, 51043, 56704, 51043, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 79555, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 51128, 51140, 54420, 54494, 53800, 76391, 55863, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 52501, 52810, 54619, 51115, 54410, 51115, 51846, 57070, 50986, 57070, 50970, 57070, 51143, 52192, 51344, 52192, 51849, 52192, 51522, 51109, 70610, 76391, 54350, 50843, 52501, 52781, 51846, 57070, 50986, 57070, 50970, 57070, 51143, 52192, 51344, 52192, 51849, 52192, 50843, 56598, 58928, 54268, 52501, 53524, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 51128, 51522, 58174, 76391, 54417, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 66203, 52501, 52800, 57496, 50866, 52754, 50866, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 51128, 51522, 54420, 54494, 53800, 76391, 55726, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 66203, 78505, 57496, 50866, 52754, 50866, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 51128, 51522, 58174, 76391, 54655, 51846, 52835, 50986, 52835, 50970, 52835, 51143, 51128, 51344, 51128, 51849, 66203, 58928, 50799, 55663, 51101, 54464, 51101, 51504, 57070, 51846, 57070, 50986, 57070, 51511, 52192, 51143, 52192, 51344, 52192, 51140, 51025, 70610, 56598, 58928, 53440, 52501, 53299, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 76391, 53910, 59018, 51043, 56704, 51043, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 79555, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 51128, 51140, 54420, 54494, 53800, 76391, 55863, 51504, 52835, 51846, 52835, 50986, 52835, 51511, 51128, 51143, 51128, 51344, 66203, 52501, 52810, 54619, 51109, 54410, 51109, 51846, 57070, 50986, 57070, 50970, 57070, 51143, 52192, 51344, 52192, 51849, 52192, 51522, 51109, 70610, 76391, 54350, 50843, 52501, 52781, 51846, 57070, 50986, 57070 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 11602, 9, 19834, 4785, 6, 42, 765, 2125, 7630, 6568, 10, 12298, 1619, 4780, 4, 27901, 10, 2020, 3548, 6, 13305, 6, 21979, 9590, 6, 8, 21072, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6543, 4, 8504, 11, 5, 762, 9, 381, 3694, 6, 24, 3905, 10, 33215, 13931, 9, 163, 6, 2060, 6, 83, 6, 163, 6, 8, 274, 10431, 6, 2351, 10, 19448, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 51966, 53819, 50310, 75965, 50858, 50973, 51417, 50973, 51472, 51493, 51013, 51493, 51237, 50903, 78874, 51315, 51535, 51315, 51417, 50916, 51397, 50916, 51413, 50417, 50965, 51477, 50965, 66527, 52659, 50889, 52659, 53585, 51966, 53819, 50310, 50833, 50989, 71420, 51535, 50916, 51417, 51493, 51013, 51493, 51237, 50903, 70988, 51315, 51535, 51315, 51417, 50973, 51417, 50973, 51472, 50441, 50965, 51283, 50965, 72044, 51668, 51290, 51668, 51072, 62368, 51010, 51493, 51173, 51493, 75994, 78874, 63435, 50989, 73623, 51203, 68575, 51315, 51411, 51315, 51162, 50973, 51162, 50973, 51227, 50417, 50965, 51177, 50965, 51060, 50423, 51493, 50887, 51493, 56667, 50965, 51025, 50965, 51162, 52318, 51013, 52318, 51237, 50427, 51966, 50811, 51040, 51363, 51040, 75494, 51255, 50871, 50991, 51360, 51411, 51360, 51377, 50903, 54957, 51966, 51010, 51273, 51173, 51273, 75994, 70988, 50899, 51194, 50899, 51095, 50989, 51255, 50989, 51116, 79725, 73822, 51120, 51109, 51120, 51159, 50447, 51273, 50887, 51273, 56604, 51197, 51709, 51197, 51253, 63775, 50861, 51159, 51560, 51013, 51560, 51237, 50451, 51966, 69990, 51411, 50956, 51377, 51197, 51312, 51197, 51159, 50906, 51267, 50906, 51157, 50903, 69077, 52181, 50858, 52181, 58055, 53154, 50800, 53154, 50894, 60963, 51581, 50291, 51581, 50298, 51581, 50296, 51337, 51315, 51194, 51493, 51016, 51493, 50824, 51230, 51053, 61692, 70623, 52814, 50865, 52814, 51030, 50417, 51324, 55181, 55650, 51966, 50809, 51214, 50809, 51324, 68877, 61027, 58956, 62490, 60452, 62879, 50879, 51230, 51071, 62421, 62906, 52554, 50836, 52554, 56731, 51324, 55181, 54689, 52554, 51175, 52554, 50975, 51841, 51581, 50291, 51581, 50303, 51741, 50303, 50943, 51668, 51016, 51668, 50824, 51230, 51053, 55863, 51966, 50809, 51324, 72172, 52415, 50312, 67844, 67741, 67214, 63784, 50845, 51895, 51698, 54216, 51214, 50809, 51324, 50836, 51230, 51071, 56788, 53416, 50910, 53416, 50921, 51324, 55181, 55108, 52554, 50795, 52554, 52370, 50284, 51581, 50286, 50809, 51324, 68877, 62430, 62490, 65479, 65872, 61622, 51519, 50296, 52019, 50296, 50981, 51493, 50948, 51493, 50860, 51230, 51053, 56651, 59397, 51324, 55181, 56069, 52814, 50865, 52814, 53275, 50287, 50809, 51324, 50836, 51230, 51071, 57012, 51966, 50809, 51324, 74825, 70023, 71901, 52434, 50312, 77607, 52434, 50315, 50938, 51493, 50859, 51493, 51739, 64903, 54208, 52181, 50836, 52181, 51879, 50284, 51581, 50291, 51581, 50303, 51411, 51086, 51162, 51668, 50893, 51668, 50802, 51230, 51053, 55726, 51324, 55181, 55835, 51966, 50809, 51214, 50809, 51324, 68877, 61027, 56962, 62490, 60452, 65872, 50893, 52659, 50879, 52659, 50923, 51230, 51071, 62421, 60734, 52181, 50800, 52181, 57308, 51324, 55181, 68358, 53154, 50808, 53154, 50821, 60963, 51581, 50291, 51581, 50296, 51749, 51315, 51397, 51493, 51016, 51493, 50824, 51230, 51053, 70623, 52814, 50809, 52814, 66802, 51324, 55181, 55650, 51966, 50809, 51214, 50809, 51324, 68877, 51100, 50916, 51173, 50965, 51121, 50965, 51158, 50973, 51177, 50973, 51060, 51230, 51071, 62421, 62906, 52814, 50858, 52814, 52801, 51324, 55181, 54689, 51841, 51581, 50291, 51581, 50303, 51199, 51086, 51312, 51668, 51016, 51668, 50824, 51230, 51053, 63567, 53154, 50924, 53154, 51138, 50429, 51966, 50809, 51324, 50904, 51895, 51698, 54216, 51214, 50809, 51324, 68877, 64545, 73268, 64397, 66499, 73849, 55805, 51071, 60673, 52181, 50808, 52181, 53660, 51324, 74825, 50822, 64001, 50965, 50844, 62257, 67642, 50973, 53330, 55108, 51841, 51581, 50286, 50809, 51324, 51581, 50291, 51749, 51324, 51397, 51668, 51013, 51668, 51237, 51230, 51053, 56651, 63025, 53154, 50807, 53154, 51054, 50441, 51324, 55181, 56069, 51214, 50809, 51324, 51581, 50303, 51100, 51086, 51173, 50956, 51121, 50956, 51158, 50989, 51177, 50989, 51060, 51230, 51071, 57012, 51966, 50809, 51324, 50904, 51895, 51698, 54208, 51841, 51581, 50291, 51581, 50298, 51199, 51378, 51312, 51705, 50889, 51705, 50896, 51230, 51053, 55726, 51324, 55181, 55835, 51966, 50809, 51214, 50809, 51324, 51581, 50303, 51609, 50303, 70157, 72889, 74463, 73663, 55805, 51071, 62421, 60734, 52181, 50859, 52181, 57308, 53154, 50910, 53154, 50921, 51324, 51954, 50303, 50822, 51086, 50833, 71430, 50956, 75965, 68897, 53330, 50971, 60963, 51581, 50291, 50836, 51493, 51013, 51493, 51237, 51230, 51053, 70623, 52814, 50937, 52814, 50924, 50417, 51324, 55181, 55650, 52554, 50855, 52554, 50809, 51966, 50809, 51214, 50809, 51324, 51581, 50303, 51194, 51086, 51095, 50916, 51194, 50916, 51095, 50965, 51194, 50965, 51095, 51230, 51071, 62421, 56076, 51324, 55181, 54689, 51841, 51581, 50291, 50836, 52659, 50889, 52659, 50896, 51230, 51053, 63567, 52554, 51235, 52554, 51653, 50429, 51966, 50809, 51324, 51954, 50305, 51110, 51040, 51175, 50916, 51110, 50916, 51175, 50877, 51110, 50877, 51175, 51895, 51698, 54216, 51214, 50809, 51324, 50836, 51230, 51071, 56788, 53416, 50808, 53416, 50882, 51324, 55181, 55108, 52554, 50805, 52554, 50806, 51841, 51581, 50286, 50809, 51324, 51581, 50303, 51212, 51086, 51121, 50916, 51212, 50916, 51121, 50965, 51212, 50965, 51121, 51493, 51013, 51493, 51237, 51230, 51053, 56651, 59397, 51324, 55181, 56069, 52814, 50938, 52814, 51919, 50287, 50809, 51324, 50836, 51230, 51071, 57012, 51966, 50809, 51324, 51954, 50303, 51458, 50303, 63254, 61027, 58956, 62490, 50879, 51895, 51698, 54208, 52181, 50833, 52181, 50859, 51841, 51581, 50291, 50836, 51668, 51290, 51668, 51072, 51230, 51053, 55726, 51324, 55181, 55835, 52181, 50833, 52181, 50859, 51086, 68566, 69498, 71809, 50818, 50965, 77641, 50818, 51966, 50809, 51214, 50809, 51324, 50836, 51230, 51071, 62421, 57326, 53154, 50854, 53154, 50808, 51324, 55181, 50971, 50799, 52814, 50808, 52814, 50821, 51841, 51581, 50291, 51581, 50296, 51619, 50296, 50889, 51493, 51173, 51493, 50976, 51230, 51053, 57780, 51324, 55181, 55650, 51966, 50809, 51214, 50809, 51324, 51581, 50303, 51712, 50303, 64233, 61432, 63946, 63328, 56190, 66228, 50901, 51230, 51071, 62421, 62906, 52814, 50948, 52814, 51138, 50423, 51324, 50904, 51493, 50887, 51493, 52374, 54689, 51841, 51581, 50291, 51581, 50291, 51619, 50291, 50889, 51668, 51013, 51668, 51237, 51230, 51053, 63567, 53154, 50840, 53154, 60579, 51966, 50809, 51324, 50904, 51895, 51698, 54216, 51214, 50809, 51324, 51581, 50298, 51712, 50298, 51568, 50303, 79966, 67997, 66782, 59625, 72169, 50901, 51230, 51071, 60673, 53154, 50948, 53154, 59618, 51324, 55181, 55108, 51841, 51581, 50286, 50809, 51324, 51581, 50303, 51183, 51086, 71651, 51183, 50916, 72025, 51183, 50965, 50918, 51984, 51173, 51984, 50976, 51230, 51053, 56651, 63025, 52181, 51141, 52181, 51274, 50441, 51324, 55181, 56069, 51214, 50809, 51324, 51581, 50297, 50836, 51984, 50893, 51984, 50802, 51230, 51071, 50379, 54936, 54417, 51966, 50809, 51324, 50904, 51895, 51698, 54208, 51841, 51581, 50291, 50836, 51868, 50893, 51868, 50802, 51230, 51053, 55726, 51324, 51954, 50294, 51559, 50370, 53120, 55370, 51966, 50809, 51324, 51581, 50294, 50809, 51668, 50893, 51668, 50802, 51230, 53120, 62421, 57326, 51324, 51954, 50294, 50867, 51895, 53120, 50904, 50799, 51997, 51235, 51997, 50993, 51841, 51581, 50291, 51581, 50301, 52151, 51027, 51945, 50916, 52071, 50916, 51945, 50877, 52069, 50877, 51605, 51216 ]

[ 0, 250, 15352, 30054, 8, 20425, 3495, 2214, 11, 230, 538, 6, 4246, 10, 16331, 33215, 16739, 9, 274, 401, 6, 230, 406, 6, 274, 401, 6, 8, 211, 406, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 5913, 13410, 228, 2289, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 51601, 50877, 66750, 59834, 50906, 76819, 54202, 64304, 51062, 50933, 50424, 50931, 51604, 50333, 63726, 50902, 78164, 56789, 64304, 51062, 74374, 50931, 59816, 51339, 61284, 50902, 78164, 53945, 64304, 51062, 50933, 50443, 50902, 78164, 66880, 64304, 51062, 55514, 50877, 66750, 64599, 50861, 64468, 62564, 50871, 66445, 64459, 57846, 64304, 50461, 50899, 64134, 50864, 51809, 57846, 64304, 56945, 59903, 55470, 51026, 60097, 60417, 51050, 61123, 63726, 51085, 62850, 50437, 77767, 64304, 50968, 75766, 50933, 51062, 78017, 50999, 54394, 51081, 59763, 73773, 51062, 80246, 57846, 56963, 61048, 51339, 57186, 51146, 62356, 77767, 51062, 50933, 50460, 57846, 56963, 61048, 51339, 50864, 62529, 59834, 73773, 51062, 50933, 50421, 57846, 56963, 61048, 51146, 60039, 51062, 57104, 77767, 50428, 50999, 61924, 50900, 64611, 67089, 75766, 61231, 50931, 55643, 51120, 50933, 72811, 50951, 50933, 50440, 78456, 77469, 56963, 50999, 64524, 50902, 66880, 51214, 50933, 72811, 50951, 69945, 51026, 52169, 50303, 50933, 56963, 50999, 64599, 50902, 62564, 51120, 50933, 72811, 50951, 62908, 51026, 52169, 50303, 64611, 52169, 50325, 58449, 50951, 50933, 51601, 51214, 50933, 50418, 50931, 54202, 51026, 52169, 50303, 64611, 50933, 50968, 59329, 50902, 60417, 78456, 67695, 50968, 71707, 50997, 62850, 50916, 75766, 53998, 50902, 59816, 77767, 67695, 50968, 72030, 50997, 62850, 60471, 50951, 57917, 50902, 61285, 78456, 50968, 59763, 51001, 61800, 50997, 52169, 50304, 78721, 50933, 50968, 53996, 67695, 50951, 71982, 77767, 50455, 50876, 64459, 74180, 50900, 78721, 69715, 62495, 50968, 50864, 54197, 50933, 50931, 71768, 50968, 64523, 51027, 67436, 50931, 65127, 50876, 52169, 50325, 66910, 51085, 55656, 50931, 63444, 51027, 52169, 50304, 50933, 56963, 50951, 60394, 50999, 61231, 51085, 62850, 50951, 55643, 51114, 59380, 51234, 52169, 50302, 56480, 50951, 66116, 50968, 50933, 51062, 51277, 50442, 51279, 50933, 51027, 64043, 51214, 52169, 50299, 50933, 50999, 58914, 51081, 70570, 73773, 50452, 79099, 51062, 57131, 57846, 56963, 61048, 51339, 59972, 51146, 58449, 77767, 51062, 50933, 52177, 57846, 56963, 50877, 51006, 50418, 51339, 54202, 51146, 59329, 73773, 51062, 78671, 57846, 56963, 61048, 51146, 56789, 51062, 50933, 50431, 51085, 62727, 50999, 61284, 50900, 64611, 50933, 61048, 50951, 53945, 50931, 57917, 51120, 50933, 72811, 50951, 50933, 50445, 78456, 77469, 50871, 51006, 50446, 50999, 61800, 50902, 53996, 51214, 50933, 72811, 50951, 50933, 50455, 78456, 77469, 56963, 50999, 64459, 50902, 62495, 51120, 50933, 72811, 50951, 50933, 51809, 78456, 77469, 56963, 50999, 64523, 50951, 50933, 50421, 51214, 67829, 50931, 53272, 78456, 77469, 56963, 50968, 63444, 50902, 60394, 77767, 50968, 61231, 51001, 55643, 51026, 52169, 50304, 78721, 50933, 50968, 59380, 50876, 51277, 50951, 51277, 50440, 51315, 50933, 50916, 57940, 51197, 50933, 50956, 50933, 50876, 52169, 50325, 50933, 50951, 69945, 51120, 52169, 50306, 69715, 64468, 78163, 70570, 50999, 62564, 77469, 63383, 58222, 50951, 54232, 50968, 51006, 50458, 51027, 62850, 63383, 50989, 71584, 50876, 50864, 51601, 78456, 77469, 56963, 76884, 53502, 65378, 61316, 59329, 51378, 67572, 60039, 51026, 60097, 63726, 51027, 50933, 61048, 50431, 51026, 60097, 59816, 51315, 50933, 50916, 56180, 51085, 62850, 50448, 77767, 64304, 50968, 50933, 50951, 50933, 51062, 50933, 50452, 50999, 62356, 51081, 64459, 73773, 51062, 50933, 53975, 50933, 56963, 61048, 51339, 71768, 51146, 62016, 77767, 51062, 67829, 57846, 50871, 67089, 50933, 51339, 60417, 51146, 63444, 73773, 51062, 50933, 56014, 50933, 56963, 61048, 51146, 55643, 51062, 70142, 51085, 72030, 50999, 64524, 57846, 56963, 61048, 50951, 54394, 50931, 59763, 51120, 50933, 72811, 50951, 80246, 51026, 52169, 50303, 64611, 50933, 50999, 57186, 50902, 54232, 51214, 50933, 72811, 50951, 50933, 50460, 78456, 77469, 56963, 50999, 50864, 51601, 50902, 59834, 51120, 50933, 72811, 50951, 64987, 78456, 77469, 56963, 50999, 60039, 50951, 55656, 51214, 71707, 50931, 61924, 78456, 77469, 56963, 50968, 61231, 50902, 61284, 78456, 67695, 50968, 50933, 50440, 50997, 52169, 50304, 50933, 60471, 50951, 61285, 50902, 66880, 77767, 67695, 50968, 55514, 50997, 52169, 50304, 78721, 75766, 64599, 50902, 62564, 78456, 50968, 64459, 51001, 56551, 50997, 62850, 50916, 52169, 50320, 58449, 50906, 75766, 51006, 51809, 77767, 50418, 50876, 54202, 50997, 52169, 50304, 50933, 60471, 50902, 55470, 50968, 60417, 73773, 50931, 63726, 50968, 60394, 51027, 52169, 50304, 64611, 71227, 53998, 64304, 50999, 62727, 51085, 70142, 50931, 66090, 51027, 67436, 50951, 57917, 50999, 54394, 51085, 62850, 50951, 59763, 51114, 61800, 51234, 50933, 74180, 50951, 70570, 50968, 50933, 51062, 51277, 50453, 51279, 50933, 51027, 65897, 51214, 50933, 78456, 50999, 62495, 51081, 50864, 54734, 50933, 73773, 51062, 50933, 50419, 50900, 64611, 67089, 52169, 50333, 65127, 51146, 60039, 77767, 51062, 50933, 50428, 57846, 56963, 61048, 51339, 61924, 51146, 61231, 73773, 51062, 50933, 55203, 50933, 56963, 61048, 51146, 66116, 51062, 70430, 77767, 50445, 50999, 56197, 57846, 56963, 61048, 50951, 58914, 50931, 64599, 51120, 50933, 72811, 50951, 57131, 78456, 77469, 56963, 50999, 56551, 50902, 58449, 51214, 50933, 72811, 50951, 50933, 52478, 78456, 51086, 64611, 50933, 50999, 54202, 50902, 59329, 51120, 50933, 72811, 50951, 78671, 78456, 77469, 56963, 50999, 56789, 50951, 57018, 51214, 62727, 50931, 61284, 78456, 51086, 64611, 52169, 50320, 66090, 50902, 57917, 78456, 50968, 61285, 51001, 59763, 57846, 60471, 50906, 52169, 50320, 61800, 51081, 52169, 50330, 57299, 51085, 71982, 50968, 62356, 57846, 60471, 67695, 51081, 50933, 51146, 50933, 50460, 73773, 50931, 78164, 50864, 59733, 59834, 57846, 56963, 61048, 50999, 64523, 76890, 50421, 51120, 67829, 50951, 53272, 63383, 56963, 61048, 76604, 50431, 78456, 50973, 64468, 61231, 50902, 55643, 51086, 67954, 66445, 53945, 77767, 50900, 64066, 50933, 50968, 70430, 51120, 67954, 66445, 66880, 51315, 50933, 60471, 50906, 75766, 64043, 50876, 58914, 73773, 56963, 61048, 50931, 72921, 50877, 51604, 50328, 54232, 50877, 51604, 50328, 56551, 61048, 51062, 50933, 51601, 61048, 51062, 61378, 51085, 51381, 50900, 51381, 51062, 59329, 51220, 60417, 51081, 63726, 50999, 56789, 50951, 61924, 50931, 59816, 51120, 50933, 50899, 52169, 50320, 61284, 50902, 53945, 51315, 50933, 60471, 74933, 57917, 51028, 61285, 51085, 62850, 50902, 66880, 51001, 61800, 51120, 50933, 63383, 50968, 53996, 50931, 64599, 51315, 50933, 50916, 51006, 50453, 50951, 62356, 51147, 64459, 73773, 56963, 50999, 56551, 51147, 50864, 53975, 64611, 67089, 52169, 50325, 71768, 76890, 51146, 50933, 50419, 77767, 50421, 50999, 55470, 57846, 56963, 61048, 76890, 51146, 50933, 50428, 50876, 51283, 50999, 79309, 51315, 74374, 60471, 50437, 73773, 56963, 50442, 51378, 50933, 50989, 62565, 78456, 58222, 51081, 58914, 50999, 70570, 50900, 64716, 64066, 50933, 51081, 57186, 50951, 50933, 51430, 57131, 51085, 65897, 51081, 62495, 57846, 58222, 67695, 50951, 50933, 51430, 50933, 52177, 50968, 51283, 51081, 51283, 50422, 51378, 50933, 50989, 55656, 78456, 58222, 50431, 51176, 50933, 50965, 50933, 50436, 51027, 50933, 61048, 51062, 53945, 51220, 66116, 57846, 56963 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 3722, 223, 34693, 4, 20, 13305, 3315, 5, 33301, 6, 278, 11, 5, 762, 9, 230, 10431, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 4, 590, 10, 12701, 4450, 20889, 6, 5, 15229, 30853, 149, 10, 33215, 13931, 9, 230, 10431, 119, 6, 2060, 406, 6, 274, 10431, 119, 401, 6, 230, 10431, 119, 6, 8, 2060, 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 ]

[ 63515, 52478, 51028, 51313, 50440, 50999, 51742, 50441, 51966, 51174, 50461, 50877, 52081, 50305, 52386, 50310, 51126, 77033, 51040, 50863, 50989, 50891, 50877, 65672, 50876, 51310, 51147, 51477, 51503, 55835, 50989, 52386, 50300, 54191, 50307, 50870, 75695, 51176, 73455, 50870, 50956, 69864, 51360, 63693, 50973, 51412, 50446, 51028, 50978, 50451, 66310, 50452, 51176, 70596, 51040, 75816, 50908, 50902, 51142, 51809, 51028, 62227, 50973, 58116, 51147, 51911, 50305, 50851, 50871, 65523, 51911, 50300, 59716, 51378, 62884, 50973, 51309, 50440, 51028, 50978, 50445, 50965, 52386, 50305, 52386, 50320, 51008, 50902, 51480, 50456, 51028, 73849, 50912, 51809, 74251, 50989, 50891, 51040, 50863, 50877, 58032, 51279, 70766, 51803, 50877, 52015, 69375, 77798, 70004, 51027, 50864, 59412, 50965, 75575, 72599, 51279, 72030, 51086, 77798, 60570, 51086, 54622, 50899, 50825, 56020, 51279, 70085, 50861, 71699, 50877, 52818, 63489, 59663, 50433, 51028, 52363, 50315, 51380, 50445, 61133, 67655, 61362, 50968, 59055, 51741, 50305, 71105, 51027, 52188, 52177, 51120, 51742, 50421, 61233, 50427, 50989, 50959, 51028, 50912, 50973, 50974, 50428, 51027, 51642, 50899, 55659, 61133, 50989, 80059, 74312, 50448, 69271, 51176, 51381, 59139, 54578, 51680, 50415, 50973, 51662, 51360, 50874, 50902, 51592, 50430, 50965, 50863, 51040, 57785, 51028, 50981, 50448, 51040, 52996, 50459, 50877, 51452, 51378, 51314, 52478, 51028, 50955, 50425, 51028, 53172, 50989, 52441, 51040, 51797, 50431, 50902, 58853, 50902, 50892, 50437, 51086, 60887, 51001, 50925, 50448, 51114, 51680, 51315, 50874, 50902, 51677, 50449, 50877, 52783, 51601, 50973, 76705, 50916, 53962, 50973, 50984, 50968, 62886, 50916, 50941, 50445, 51028, 51397, 51027, 51148, 50452, 50968, 57651, 50968, 50892, 50460, 50877, 65377, 50932, 52177, 51114, 55266, 71436, 51114, 50905, 50424, 50956, 51542, 50430, 80248, 50437, 51176, 54123, 50951, 51109, 50448, 51147, 74022, 50973, 70347, 50965, 52104, 50324, 51337, 50968, 50984, 51809, 51399, 63750, 51399, 51101, 50430, 51062, 54125, 51503, 68825, 51062, 51101, 50442, 51220, 50925, 50449, 51220, 51043, 50876, 71328, 50984, 50457, 51081, 50857, 51601, 51081, 50866, 50421, 50999, 62370, 51360, 53220, 50999, 51423, 50434, 51147, 78655, 50973, 63780, 51147, 51534, 50871, 52763, 50951, 64833, 50951, 51006, 50461, 67176, 53069, 51114, 51074, 50425, 59715, 50434, 50931, 51534, 50443, 50968, 51058, 50454, 50968, 51381, 55753, 50902, 51679, 50437, 50999, 51939, 51028, 51939, 50438, 51378, 51174, 50457, 61825, 50989, 52666, 50305, 51000, 69341, 50877, 70898, 51040, 79743, 51147, 51080, 50440, 50876, 51080, 51176, 52431, 50453, 50989, 74507, 50956, 50941, 69341, 50989, 52386, 50307, 55788, 51360, 63693, 50973, 51852, 50446, 51028, 70334, 50968, 52363, 50300, 51142, 50452, 50871, 71608, 51380, 52177, 51028, 62448, 58964, 51147, 51419, 50973, 51542, 66398, 51176, 54325, 51040, 66861, 51378, 51174, 50442, 50973, 51709, 51028, 69300, 50965, 51376, 50449, 51040, 53535, 50320, 50827, 50902, 51380, 50461, 51028, 50857, 57844, 57559, 50989, 52081, 50322, 59903, 51764, 50305, 53018, 51279, 62090, 51114, 51742, 50877, 51803, 50453, 50899, 50870, 51027, 50837, 57731, 51027, 65789, 54483, 50965, 52015, 50931, 51803, 50436, 51279, 54385, 50899, 50891, 51086, 50891, 55753, 51086, 76738, 54483, 51279, 68167, 50861, 51480, 50441, 50877, 65845, 68793, 51028, 70591, 50973, 51380, 50459, 50877, 67205, 50861, 50863, 52591, 50861, 75511, 51097, 50421, 51040, 69280, 51027, 54836, 50433, 51120, 51680, 50437, 50877, 55467, 50861, 53384, 50989, 52169, 50301, 51645, 50899, 52034, 50973, 51242, 50445, 51028, 70347, 61133, 50989, 50886, 52177, 50989, 50974, 50418, 51176, 51381, 50899, 51210, 50902, 51008, 58783, 52015, 51360, 50827, 50973, 51662, 50433, 50902, 51680, 50449, 50965, 50863, 51040, 50863, 51809, 51028, 51419, 50417, 51040, 51466, 50429, 50906, 51692, 50430, 51378, 51074, 50440, 51001, 55876, 51001, 51177, 50989, 76606, 51040, 79859, 50968, 57185, 50968, 51242, 50989, 58247, 68793, 51809, 50931, 65605, 51324, 71203, 51147, 51692, 50877, 52015, 50439, 69550, 50440, 50956, 60325, 50956, 62662, 51114, 51679, 56020, 50965, 51677, 50423, 51315, 67995, 50973, 59615, 50973, 51212, 50916, 77798, 56069, 51028, 62135, 51028, 51172, 50899, 54939, 50916, 60535, 50902, 78971, 51279, 50822, 60497, 51353, 74354, 52980, 50428, 51040, 59272, 51315, 75106, 50968, 51419, 51234, 56573, 50989, 53487, 51324, 50851, 56020, 50902, 51480, 50432, 51176, 52980, 51028, 51203, 50899, 51490, 50440, 75651, 50448, 50877, 50915, 50457, 50973, 51253, 52478, 51360, 50933, 50419, 65943, 50430, 51028, 58866, 50989, 51481, 51040, 64643, 51027, 51797, 50448, 51028, 60062, 50877, 57243, 50871, 53131, 50303, 52378, 54852, 52019, 50317, 51449, 79351, 59612, 50989, 51244, 51378, 51142, 51601, 50877, 52140, 51040, 52140, 50446, 51028, 51749, 52177, 51399, 51162, 50418, 51050, 55656, 51146, 68109, 51399, 51111, 50433, 50965, 78751, 52896, 51220, 50849, 50442, 51147, 59703, 60362, 51040, 53528, 51028, 50917, 50451, 51220, 52014, 50298, 54232, 51399, 51121, 50460, 51220, 72914, 51040, 61324, 50863, 51809, 50999, 61062, 51040, 63700, 75967, 54347, 80152, 50427, 50999, 50917, 50428, 51360, 53705, 51220, 58926, 50999, 50937, 50436, 51086, 62296, 58751, 51147, 50917, 50442, 51086, 62154, 60362, 50931, 62604, 50973, 58460, 51120, 73688, 50925, 50454, 50999, 50938, 50457, 51147, 75389, 51114, 50937, 51809, 50989, 56127, 64062, 51027, 52944, 59755, 50424, 51324, 50844, 51114, 50925, 50427, 51147, 50901, 50431, 51114, 58672, 50989, 57160, 51086, 55799, 67666, 50439, 50965, 50844, 50442, 51114, 62813, 51114, 68788, 51360, 67426, 51147, 50873, 50454, 51114, 51588, 50305, 50863, 51027, 57110, 74730, 57126, 59991, 51028, 64355, 63417, 52759, 61494, 51040, 66121, 50965, 56799, 51028, 50925, 50436, 50902, 67538, 75632, 57477, 51028, 50897, 50443, 67594, 51378, 62077, 51028, 55620, 50931, 65840, 55223, 51040, 62476, 51114, 50917, 50457, 50877, 57029, 51040, 62946, 50955, 50460, 51220, 50862, 52177, 51050, 51537, 50329, 50910, 50421, 51146, 67895, 51399, 60037, 52712, 51040, 79499, 51220, 57356, 50965, 50825, 51147, 50942, 51040, 54483, 51028, 56057, 51378, 67941, 51220, 69822, 51399, 75097, 51220, 62617, 50877, 50834, 51040, 52763, 50999, 50955, 50453, 50877, 50835, 51040, 65556, 51114, 62091, 72814, 50461, 77757, 51360, 50857, 51809, 51220, 73965, 50999, 50977, 50421, 51086, 62252, 53109, 51147, 70846, 51086, 66445, 65197, 50973, 64160, 71440, 51120, 58572, 50999, 61772, 51147, 52815, 51114, 50977, 50448, 50989, 50837, 71702, 50449, 51027, 65392, 72733, 50455, 51324, 50822, 50902, 73184, 50968, 50866, 51601, 51114, 72250, 50951, 56908, 77757, 56437, 50902, 68469, 53220, 51220, 56274, 51062, 59628, 51399, 68412, 51146, 50942, 50440, 51430, 58991, 51787, 71765, 51487, 50925, 50451, 52128, 50854, 51360, 59644, 51814, 65844, 52052, 50925, 50973, 50835, 50799, 53117, 50925, 50418, 50973, 62296, 50837, 52357, 50917, 50419, 51040, 61183, 53684, 50901, 50428, 51378, 50851, 56193, 51380, 50442, 50877, 52519, 50443, 51040, 52407, 58540, 51108, 50425, 51399, 55035, 51050, 72479, 51146, 60698, 51399, 71901, 57477, 51220, 50878, 50443, 50965, 50837, 51040, 50825, 51147, 62077 ]

[ 0, 250, 765, 6, 20425, 5175, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 816, 10, 15352, 30054, 516, 11, 230, 538, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 15966, 13410, 228, 2289, 6, 20307, 149, 10, 13931, 9, 1918, 406, 6, 3676, 406, 6, 1918, 401, 6, 272, 73, 495, 6, 8, 230, 119, 1176, 406, 40286, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50419, 50999, 75806, 79600, 50961, 51062, 58980, 50951, 74944, 50846, 51081, 50883, 51081, 59485, 68170, 68170, 50999, 50949, 50999, 65898, 50931, 50846, 50931, 50846, 50999, 50883, 50999, 59382, 50876, 70934, 50841, 50951, 50884, 50951, 53418, 50877, 75715, 50895, 50931, 50884, 50931, 65809, 50877, 65490, 50841, 50931, 50841, 50931, 59673, 50876, 70934, 50841, 50951, 70787, 52396, 51081, 50883, 51081, 50883, 50931, 51110, 50931, 51110, 50452, 50999, 50883, 50999, 54944, 51081, 50883, 51081, 61807, 74104, 50999, 65372, 50876, 66875, 78543, 50841, 50951, 50841, 54960, 67128, 78213, 78213, 58516, 50999, 50834, 50999, 80131, 79711, 56818, 50951, 78945, 50829, 51081, 50839, 51081, 52992, 50931, 77280, 50834, 50999, 76227, 58854, 50931, 71808, 70133, 50834, 50999, 56512, 50876, 66875, 78543, 78213, 52600, 50877, 61299, 77280, 74939, 58655, 50877, 61541, 69043, 79163, 56892, 50876, 64559, 70789, 78945, 52802, 51081, 50841, 51081, 50841, 50931, 51797, 50931, 51797, 50451, 50999, 50834, 50999, 55007, 51081, 50835, 51081, 59699, 50999, 52415, 50325, 77381, 50876, 50863, 50876, 50863, 50951, 78543, 50835, 54960, 79986, 53529, 50323, 50984, 76893, 50418, 51062, 50895, 51062, 61710, 50931, 50846, 50931, 50846, 50999, 75806, 52437, 51081, 50949, 51081, 50949, 50968, 63707, 75976, 50999, 50884, 50999, 70690, 51081, 50818, 51081, 57318, 50999, 52014, 50325, 78446, 50968, 50863, 50968, 50863, 50951, 73741, 53040, 71363, 71363, 50442, 51062, 79600, 57000, 50902, 69687, 75969, 50884, 50931, 53409, 50951, 50895, 50951, 50895, 50876, 58681, 67070, 68170, 50931, 59671, 50951, 71351, 54363, 50931, 52434, 50321, 77568, 50876, 70934, 50841, 50968, 50841, 50968, 50841, 56229, 50844, 58398, 50418, 51062, 50829, 51062, 56856, 50931, 50863, 50931, 50863, 50999, 50834, 50999, 52928, 51081, 50834, 51081, 75088, 51365, 50968, 51365, 50427, 50999, 50910, 50999, 50910, 50431, 50951, 69148, 58039, 50968, 50928, 50968, 50928, 50951, 50863, 50951, 57667, 50999, 70133, 52621, 50902, 51142, 50902, 51142, 79386, 79386, 50442, 50931, 79163, 56892, 50902, 72680, 69043, 50870, 50931, 60145, 50951, 72394, 54915, 50931, 51008, 50931, 51008, 50876, 53131, 50316, 51254, 50454, 50968, 77281, 57950, 50876, 50863, 50876, 50863, 50968, 50863, 50968, 50863, 54852, 50830, 59836, 50418, 51487, 50961, 51487, 66774, 50931, 50841, 50931, 50841, 51062, 50884, 51062, 57982, 51146, 50883, 51146, 79279, 54828, 64977, 51062, 79600, 54013, 51146, 50884, 51146, 63519, 51062, 51828, 50328, 66881, 50968, 77281, 50837, 51220, 79434, 53894, 50871, 75522, 50948, 50442, 51062, 79600, 57000, 50902, 60810, 50828, 50999, 50961, 50999, 55254, 51220, 50961, 51220, 50961, 50916, 51158, 50916, 51158, 50451, 50999, 75806, 59671, 51220, 50839, 51220, 59617, 50999, 50925, 50999, 65737, 50876, 67128, 78213, 74944, 50846, 54852, 50812, 57002, 50418, 51487, 50839, 51487, 58235, 50931, 50863, 50931, 50863, 51062, 50829, 51062, 56982, 51146, 52386, 50330, 50971, 54439, 51524, 72529, 51062, 51008, 51062, 67810, 51220, 50863, 51220, 60050, 51220, 50825, 51220, 56446, 50968, 50928, 50968, 60622, 51062, 50863, 51062, 50863, 51220, 50942, 51220, 50942, 57019, 50907, 50871, 58573, 50999, 71695, 57013, 50902, 50928, 50902, 50928, 50999, 71695, 59361, 51220, 78163, 58914, 70088, 70088, 68717, 68717, 50453, 50951, 50870, 50951, 58908, 50876, 78681, 51004, 50951, 76781, 63414, 50999, 66750, 58449, 69271, 69271, 71049, 71049, 52177, 50931, 77280, 58592, 50973, 50863, 50973, 50863, 50931, 77280, 52928, 62784, 62784, 60215, 60215, 50968, 50897, 50968, 69270, 50902, 64204, 77280, 79163, 57107, 50968, 50825, 50968, 70789, 78543, 59347, 51315, 50835, 51315, 52621, 50902, 74197, 72503, 68992, 51764, 50297, 51832, 51050, 51832, 50442, 50876, 50928, 50876, 50928, 50968, 77281, 59843, 51026, 50870, 51026, 50870, 50973, 74154, 67904, 64204, 53057, 50900, 71807, 70831, 71557, 59390, 59258, 50915, 50454, 51026, 50839, 51026, 58472, 51085, 50841, 51085, 50841, 51062, 50925, 51062, 50925, 54795, 51442, 50287, 50879, 50419, 50973, 65921, 64204, 68895, 56818, 50931, 73476, 52905, 61827, 61827, 77095, 69179, 63287, 60250, 50995, 50430, 51026, 50820, 51026, 56565, 51062, 50942, 51062, 68068, 51085, 50837, 51085, 58751, 51214, 50795, 51214, 76500, 50973, 70082, 70248, 70882, 57000, 50931, 50884, 50931, 59620, 61496, 61496, 68526, 68526, 50968, 50940, 50968, 50940, 50454, 50902, 77360, 50846, 50931, 73476, 57461, 51315, 50839, 51315, 50839, 50968, 50841, 50968, 50841, 50951, 70787, 50818, 56229, 50854, 70892, 71363, 71363, 50415, 51050, 50955, 51050, 78130, 68355, 50968, 56818, 51026, 50829, 51026, 74154, 50891, 50973, 74572, 68895, 52639, 50900, 73619, 50839, 50968, 77082, 69667, 58327, 50932, 50430, 51026, 50837, 51026, 58039, 51085, 50829, 51085, 50829, 51062, 50959, 51062, 58450, 51214, 51519, 50287, 50849, 50442, 50973, 70082, 70248, 77360, 59484, 50931, 50895, 50931, 53595, 50900, 73619, 50839, 61827, 61827, 50876, 59391, 50943, 50454, 51026, 50820, 51026, 56399, 51085, 50834, 51085, 50834, 51430, 50830, 51430, 50830, 54795, 51442, 50287, 50879, 50418, 50973, 73046, 68895, 60810, 57466, 68170, 50931, 52437, 50900, 73619, 68128, 50955, 70688, 61827, 50968, 59161, 51026, 50820, 51026, 56565, 51085, 50834, 51085, 50834, 51487, 50952, 51487, 59646, 51214, 52545, 50287, 50948, 50442, 50973, 65921, 64204, 69687, 57854, 50931, 75969, 53068, 77556, 77556, 73556, 73556, 50968, 52415, 50320, 50987, 50454, 50902, 50870, 50902, 50870, 50931, 66876, 57950, 51315, 50891, 51315, 50891, 50968, 50891, 50968, 76781, 70789, 50825, 56229, 50810, 61196, 74952, 74952, 51050, 72608, 51254, 50418, 50876, 50863, 50876, 50863, 50968, 50870, 50968, 58409, 51026, 50863, 51026, 50863, 50973, 76509, 74943, 67904, 56680, 66310, 66310, 65515, 65515, 51315, 50933, 51315, 68858, 50902, 68854, 71808, 69043, 56446, 51027, 74644, 62088, 66731, 77281, 50835, 50968, 52621, 71363, 71363, 73955, 73955, 51050, 51665, 50297, 50866, 50442, 50876, 66875, 50835, 50968, 77538, 56892, 51026, 50839, 51026, 72475, 65921, 64204, 60810, 53035, 58368, 58368, 69084, 69084, 51315, 52098, 50296, 50917, 50454, 50902, 69687, 75969, 74939, 56399, 51027, 50820, 51027, 67128, 67128, 50820, 50968, 50841, 50968, 50841, 56229, 50830, 60990, 51050, 52098, 50297, 73916, 52545, 50318, 50948, 50418, 50876, 62088, 75088, 50841, 50968, 60161, 51026, 50841, 51026, 70082, 70082, 70248, 77360, 53855, 61097, 61097, 69084, 69084, 51315, 51710, 50296, 50924, 50430, 50902, 60810, 73476, 65615, 60085, 51027, 78749, 72854, 67661, 70831, 50884, 50968, 53418, 50968, 50884, 50968, 50884, 51050, 75198, 50937, 50439, 50902, 60810, 70831, 70831, 62078, 50902, 50884, 50902, 65809, 50876, 71360, 60797, 51026, 50846, 51026, 50846, 50973, 50961, 50973, 55254, 65585, 65585, 51085, 51958, 50292, 50896, 75312, 69688, 58892, 50916, 71809, 50839, 53975, 64774, 64754, 51026, 50818, 51026, 56493, 51315, 50895, 51315, 61749, 51120, 52236, 50294, 57850, 51085, 50813, 51085, 59833, 51120, 51731, 50294, 63937, 51085, 50841, 51085, 58608, 51120, 50818, 51120, 58024, 51085, 50841, 51085, 58694, 51120, 50841, 51120, 53116, 51085, 50834, 51085, 64562, 51120, 50834, 51120, 55604, 51085, 50835, 51085, 60862, 51120, 50829, 51120, 53162 ]

[ 0, 250, 765, 3495, 2214, 11, 12608, 538, 19, 10, 2842, 9, 5175, 4785, 6, 7630, 14805, 10, 1186, 9, 8597, 31, 657, 7, 15073, 4, 85, 26658, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 4246, 10, 33215, 13931, 9, 2060, 6, 12608, 6, 274, 119, 401, 6, 12608, 6, 8, 163, 43531, 6, 6946, 7, 63, 25306, 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 ]

[ 56103, 50450, 51176, 60339, 58750, 63161, 50807, 54955, 65757, 56793, 63161, 52910, 51176, 60339, 58750, 63161, 52424, 51040, 73685, 58750, 59351, 52728, 51176, 60110, 51360, 59351, 53312, 50997, 54828, 50795, 58526, 51161, 50900, 51161, 50965, 51161, 51001, 77481, 50965, 62030, 60339, 63161, 53312, 77916, 54578, 64823, 73685, 63057, 53561, 50861, 51631, 50900, 58509, 58750, 55695, 53182, 51040, 51646, 50956, 60821, 55890, 56793, 52728, 51176, 60821, 58750, 72778, 57190, 50807, 51197, 72424, 68488, 50918, 54439, 52424, 51503, 51517, 50300, 60339, 58750, 58750, 52728, 51176, 60339, 58750, 63161, 50807, 59130, 65757, 56793, 63161, 52910, 51378, 60339, 58750, 63161, 52424, 51050, 64404, 58750, 59351, 53218, 51197, 51798, 51360, 73685, 58750, 59351, 50807, 58439, 51161, 50900, 51161, 50965, 51161, 51001, 77481, 51176, 58035, 58750, 63161, 53312, 51026, 50795, 57190, 59851, 73685, 63057, 53561, 50861, 51631, 51197, 60821, 58750, 55695, 52424, 50965, 62515, 65757, 56793, 53218, 50861, 51798, 55179, 51085, 68518, 55695, 53312, 50916, 50795, 55435, 62515, 57055, 56793, 54994, 51176, 51631, 50956, 63534, 68518, 53182, 51040, 51646, 51503, 50807, 51176, 60339, 58750, 52728, 51197, 50807, 51176, 60821, 72400, 54868, 65757, 57055, 56793, 52910, 50956, 54828, 63534, 56793, 53182, 50899, 59006, 51646, 51503, 58035, 60821, 55695, 53218, 51234, 51798, 51085, 58509, 58750, 55695, 53312, 51120, 50795, 55881, 51161, 50956, 51161, 50861, 51161, 50906, 77481, 51026, 60821, 56793, 72400, 54960, 62030, 60821, 58750, 53561, 50902, 51631, 51026, 60821, 56793, 63161, 52424, 50956, 59851, 58750, 59351, 53218, 50899, 51798, 50900, 62352, 55890, 56831, 53312, 51086, 50795, 53997, 51161, 50900, 51161, 50861, 51161, 51001, 51161, 55895, 58509, 55890, 63161, 53312, 50997, 50795, 56310, 60339, 57055, 59351, 52910, 51026, 64823, 59006, 63161, 53182, 51027, 58035, 51646, 51040, 64823, 57055, 63057, 53218, 50956, 51798, 51050, 57055, 57543, 72778, 54662, 51161, 50871, 51161, 50906, 51161, 51028, 77481, 50965, 67795, 60821, 55695, 53312, 77916, 57497, 73685, 57055, 56793, 52910, 51176, 58035, 59851, 58750, 53182, 50997, 64404, 51646, 51197, 60339, 60821, 58750, 52728, 50956, 63534, 65757, 55890, 53312, 51040, 50795, 58106, 51503, 51161, 51176, 51592, 50900, 51161, 50900, 51161, 50965, 51161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3495, 2214, 4246, 21979, 8, 3459, 29589, 6, 13305, 6, 5730, 2342, 4467, 6, 8, 2236, 1021, 2678, 29, 4, 85, 18, 10, 765, 2125, 11, 272, 538, 19, 10, 1769, 20889, 6, 21437, 10, 33215, 16739, 9, 230, 401, 6, 272, 401, 6, 8, 211, 401, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 63515, 50799, 51762, 51544, 50820, 51570, 52725, 51762, 50461, 51332, 53838, 51217, 51108, 50988, 51333, 50885, 51534, 59007, 50981, 50909, 51412, 50816, 54031, 54324, 52247, 53719, 56087, 53719, 57626, 52756, 55885, 52756, 52610, 54375, 55764, 54375, 50806, 55929, 51377, 53046, 50893, 51830, 50812, 52817, 50923, 60476, 51003, 51332, 53838, 51217, 51108, 50988, 51333, 50885, 60046, 50981, 50909, 50905, 64082, 53403, 53046, 50917, 51830, 50830, 52817, 64273, 57847, 78145, 52872, 51461, 51159, 53046, 50806, 51664, 50936, 51813, 50833, 51882, 50854, 52642, 50833, 54744, 50943, 51332, 55856, 51217, 52015, 50988, 51680, 50868, 51148, 50909, 55974, 51920, 53575, 53046, 50910, 51664, 50808, 52817, 51054, 51813, 50833, 51882, 50833, 52642, 57262, 69238, 59118, 50885, 51477, 50438, 51461, 50943, 51830, 50858, 53046, 50937, 51813, 50942, 51882, 50925, 52642, 50878, 56195, 50915, 55809, 53594, 51830, 50897, 53046, 50845, 52817, 51552, 51813, 50833, 51882, 50833, 52642, 50942, 50909, 58377, 52846, 51461, 51159, 53046, 51030, 51664, 50880, 54744, 51400, 52642, 51241, 51813, 51189, 51882, 51189, 78007, 50868, 57353, 53390, 69232, 50909, 58325, 51664, 50800, 53046, 50925, 50909, 57371, 66560, 63917, 51217, 52192, 55929, 50915, 51830, 50859, 53046, 50910, 53719, 50923, 60476, 50981, 51217, 51466, 50988, 51330, 55809, 58120, 59995, 50420, 53046, 50795, 51830, 50808, 50909, 57371, 59384, 59109, 53719, 51138, 50885, 56307, 51461, 50943, 53046, 50806, 51664, 50921, 51813, 50854, 51882, 50833, 52642, 50854, 54744, 51003, 51217, 51637, 50988, 57957, 53390, 59741, 50885, 51359, 72803, 58056, 50432, 51664, 50808, 53046, 50917, 53719, 52512, 51882, 50854, 51813, 50925, 52642, 50878, 50909, 51056, 50868, 68659, 59118, 50988, 51151, 50438, 51461, 51380, 51830, 50812, 53046, 50937, 51882, 50854, 52642, 50854, 51813, 50878, 56195, 51003, 60026, 53114, 51830, 50878, 53046, 50866, 51813, 50854, 51882, 50833, 52642, 50854, 50909, 55077, 62211, 59002, 51217, 72887, 51461, 51267, 53046, 50924, 51664, 50910, 54744, 51177, 52642, 51241, 51813, 51191, 51882, 51141, 51217, 51380, 50816, 53584, 60068, 50909, 68987, 53046, 50987, 51664, 50955, 50909, 56467, 59384, 50870, 55929, 50932, 51830, 50810, 53046, 50937, 52817, 50980, 60476, 50915, 51217, 57371, 50845, 58994, 50891, 60043, 61062, 53046, 50866, 51830, 50878, 50909, 56467, 60095, 60776, 51217, 58632, 51461, 50981, 53046, 50795, 51664, 50830, 52817, 50911, 51882, 50855, 51813, 50833, 52642, 50854, 54744, 51003, 51217, 51244, 76778, 50816, 53237, 61033, 50909, 50942, 50868, 56799, 53046, 50866, 51664, 50959, 52817, 51566, 51882, 50854, 51813, 50942, 52642, 50942, 61560, 50909, 51109, 50988, 51742, 50856, 52904, 51461, 50932, 53046, 50914, 51830, 50795, 51813, 50854, 51882, 50833, 52642, 50942, 56195, 51003, 58135, 53594, 51830, 50942, 52817, 51745, 51882, 50855, 51813, 50854, 52642, 50854, 50909, 56467, 59384, 52805, 51461, 51003, 53046, 50849, 51664, 50879, 54744, 51177, 52642, 51351, 51813, 51191, 51882, 51141, 51217, 52347, 50304, 74794, 57093, 56649, 53390, 53553, 53046, 50866, 51664, 50917, 50909, 57371, 56255, 58908, 51217, 51679, 55929, 51330, 53046, 50948, 79659, 53719, 50795, 60476, 50915, 50988, 51939, 50885, 57371, 50901, 55809, 57610, 51332, 54171, 50909, 55085, 53046, 50795, 51830, 57093, 55905, 64835, 59109, 50885, 54278, 51461, 50915, 53046, 51073, 51664, 50911, 52756, 50923, 51882, 50854, 52642, 50854, 51813, 50925, 54744, 51003, 51217, 51447, 50885, 56990, 63305, 53390, 53575, 51664, 50924, 52817, 51235, 51813, 50862, 51882, 50854, 52642, 50854, 50909, 51056, 73948, 64583, 50856, 52904, 51461, 50995, 53046, 50806, 51830, 50893, 51813, 50833, 51882, 50812, 52642, 50942, 56195, 50981, 58135, 53594, 53046, 50795, 51830, 50893, 52756, 51045, 51813, 50855, 51882, 50836, 52642, 57609, 56990, 56566, 58377, 53003, 51461, 51255, 53046, 50925, 51664, 50905, 53719, 51054, 54744, 50873, 52642, 50943, 51813, 51191, 51882, 51204, 51217, 50912, 50988, 51484, 75714, 65671, 50909, 58473, 53237, 53555, 53046, 50833, 50909, 60398, 50987, 70291, 53202, 51484, 52286, 50886, 51451, 50879, 61643, 50981, 51164, 51108, 77456, 50872, 58649, 50901, 58994, 53420, 52286, 50940, 51451, 50917, 50909, 60716, 59109, 66033, 50885, 58382, 51140, 50943, 52286, 50911, 51322, 50893, 52756, 51388, 51882, 50862, 51855, 50925, 52561, 50878, 52517, 51253, 51164, 59467, 51314, 50885, 56204, 57093, 56649, 53390, 53575, 52286, 50879, 51322, 50878, 51855, 50812, 51882, 50854, 52561, 50854, 78762, 50909, 51159, 50885, 51295, 51164, 51445, 50856, 52904, 51140, 50995, 52286, 50911, 51451, 50879, 52756, 51566, 51882, 50833, 51855, 50925, 52561, 50925, 53169, 51003, 60026, 53162, 52286, 50936, 51451, 50805, 51882, 50836, 51855, 50854, 52561, 62764, 58846, 58253, 53003, 51140, 51267, 52286, 50911, 51322, 50795, 52756, 50805, 52517, 50873, 51855, 51191, 51882, 51191, 52561, 51241, 50946, 51148, 50885, 57076, 57093, 57652, 53390, 53553, 52286, 50812, 51322, 50912, 52756, 55664, 58451, 67240, 58908, 64060, 53202, 50932, 52286, 50795, 51451, 50873, 52756, 51066, 61643, 50981, 75714, 50872, 56990, 50977, 58135, 53420, 52286, 50849, 51451, 50937, 50909, 55808, 69238, 52872, 51140, 51411, 52286, 50911, 51322, 50795, 52756, 50911, 51882, 50813, 51855, 50833, 52561, 50854, 52517, 50943, 50946, 53680, 50316, 63658, 53390, 53670, 52286, 50879, 51322, 50901, 52817, 51388, 51855, 50812, 51882, 50833, 52561, 50854, 50909, 51056, 59504, 50946, 70503, 64835, 59118, 51164, 51749, 60116, 51253, 52286, 50893, 51451, 50938, 51855, 50812, 51882, 50812, 52561, 50925, 53169, 51003, 55809, 53594, 52286, 50806, 51451, 50805, 52817, 50923, 51855, 50833, 51882, 50833, 52561, 50854, 50909, 55664, 55109, 51058, 50946, 52782, 50856, 52805, 51140, 50901, 52286, 50893, 51322, 50917, 52756, 51016, 52517, 50937, 51855, 51191, 51882, 51204, 52561, 51218, 50946, 50959, 64583, 66033, 50909, 57353, 53390, 53555, 52286, 50858, 51322, 50910, 50909, 56467, 56255, 50891, 55929, 50915, 53046, 50806, 51830, 50911, 60476, 51003, 51332, 52140, 51217, 51108, 50988, 52168, 50885, 60046, 59985, 50974, 60026, 53420, 53046, 50879, 51830, 50917, 50909, 56566, 74794, 51267, 50856, 52966, 51461, 50915, 53046, 50911, 51664, 50806, 53719, 51167, 51813, 50855, 51882, 50833, 52642, 50810, 54744, 51003, 51217, 53055, 50909, 64946, 53390, 53575, 53046, 50805, 51664, 50910, 51813, 50854, 51882, 50854, 52642, 50854, 50909, 51056, 60104, 50885, 78145, 52904, 51461, 50932, 53046, 50849, 51830, 50795, 53719, 51454, 51813, 50833, 51882, 50833, 52642, 50854, 56195, 51003, 58135, 65672, 50909, 55945, 53046, 50866, 51830, 50878, 52642, 50862, 51813, 50854, 51882, 64263, 60398, 60148, 52519, 50856, 53003, 51461, 51003, 53046, 50948, 51664, 50893, 53719, 51054, 54744, 51101, 51882, 51191, 51813, 51189, 52642, 51295, 51217, 52025, 79845, 50868, 56990, 56649, 53390, 53017, 53046, 50849, 51664, 50938, 50909, 57371, 56255, 50891, 55929, 50981, 53046, 50849, 51830, 50893, 53719, 51030, 60476, 50915, 51217, 53280, 50988, 52528, 50868, 56990, 50866, 58994, 53420, 53046, 50873, 51830, 55363, 58649, 55109, 51145, 50856, 52966, 51461, 50914, 53046, 50893, 51664, 50879, 52756, 50923, 51882, 50813, 51813, 50833, 52642, 50854, 54744 ]

[ 0, 250, 8787, 5175, 15229, 14, 2424, 3677, 88, 5, 24297, 9, 980, 6, 7630, 14805, 10, 1472, 9, 15073, 150, 6780, 15352, 30054, 4785, 4, 20, 6755, 12547, 6, 38668, 2236, 6, 18558, 6, 21072, 6, 8, 3551, 139, 35810, 561, 7, 1045, 10, 3366, 3341, 5466, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 5784, 1769, 27841, 3006, 11332, 20889, 6, 19, 5, 40286, 163, 428, 401, 8, 211, 119, 442, 12577, 4961, 1328, 42, 24111, 34753, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50650, 50796, 57528, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 50856, 54498, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50856, 54498, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 52452, 58253, 54869, 57293, 50827, 66840, 56700, 70342, 62087, 50827, 76862, 52739, 50691, 50338, 50838, 76755, 52718, 52452, 58253, 75102, 52452, 52985, 50856, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 58253, 54869, 50691, 50342, 50827, 50731, 50342, 56700, 70342, 71462, 50827, 50731, 50340, 52739, 50691, 50338, 50838, 76755, 52718, 52479, 58253, 75102, 52479, 52985, 50856, 56109, 52479, 54529, 52117, 50827, 50799, 53181, 51801, 51881, 51801, 51863, 51801, 51838, 51801, 52735, 51801, 52886, 51801, 51206, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 52452, 50838, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53817, 51801, 53181, 51801, 51615, 51801, 51863, 51801, 52137, 51801, 52735, 51801, 50801, 56203, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53181, 51801, 51881, 51801, 51863, 51801, 51838, 51801, 52735, 51801, 52886, 51801, 50801, 56203, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53817, 51801, 53181, 51801, 51615, 51801, 51863, 51801, 52137, 51801, 52735, 51801, 50801, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 54965, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 55056, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 68927, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53181, 51801, 51881, 51801, 51863, 51801, 51838, 51801, 52735, 51801, 52886, 51801, 51410, 51243, 51231, 51243, 51414, 69094, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 50827, 71519, 56858, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 54980, 51476, 50932, 64403, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 50838, 52690, 51243, 52303, 51243, 51410, 69094, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 54965, 66772, 50932, 50427, 58128, 70342, 71462, 50827, 50731, 50340, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52479, 78733, 50838, 54268, 53086, 50852, 54043, 52479, 55468, 78733, 52985, 51476, 50932, 64403, 50932, 50455, 50801, 53656, 55559, 53581, 52479, 54529, 52117, 50827, 50799, 52452, 50838, 53817, 51801, 53181, 51801, 51615, 51801, 51863, 51801, 52137, 51801, 52735, 51801, 51410, 51243, 51231, 51243, 51414, 69094, 56203, 62093, 56203, 50932, 53440, 50827, 52906, 52580, 57293, 50827, 66840, 50827, 71519, 56858, 66772, 70342, 62087, 50827, 76862, 57729, 52739, 50691, 50338, 50838, 76755, 55559, 52788, 52452, 78733, 50838, 54268, 53086, 50843, 54043, 52452, 55559, 62093, 56203, 54980, 51476, 50932, 64403, 56109, 52452, 54529, 52117, 50827, 50799, 52479, 50838, 52690, 51243, 52303, 51243, 51410, 69094, 56203, 50932, 53440, 50827, 52906, 52580, 50691, 50342, 50827, 50731, 50342, 50827, 58128, 56858, 66772, 70342, 71462, 50827, 50731 ]

[ 0, 250, 1769, 12, 20764, 5175, 19834, 11, 230, 538, 6, 4246, 10, 13305, 8, 17691, 28430, 816, 15352, 30054, 2301, 14, 35334, 10, 3344, 9, 11098, 8, 15073, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 51540, 51027, 65815, 63882, 51073, 57025, 60757, 57943, 51027, 60757, 58818, 51027, 63882, 51073, 55895, 61928, 51073, 50462, 50900, 57704, 50924, 50468, 50900, 57704, 50924, 50474, 50900, 61928, 51073, 51540, 50871, 70148, 51073, 53645, 64608, 57943, 50871, 64608, 50924, 57019, 70148, 51073, 55895, 61928, 51073, 50462, 50900, 57704, 50924, 50468, 50900, 57704, 50924, 50474, 50900, 61928, 51073, 51540, 51027, 63882, 51073, 57025, 63882, 51073, 63809, 63882, 69556, 51027, 51472, 50871, 51472, 50474, 53250, 64217, 51540, 53407, 51472, 51247, 51919, 50297, 63621, 51472, 50931, 51472, 50438, 53407, 70148, 51073, 50931, 69556, 53407, 51073, 51247, 51919, 50297, 63621, 51073, 50931, 51073, 50462, 53771, 64217, 50968, 51073, 50474, 53077, 66562, 73642, 51073, 51540, 53250, 70148, 64217, 51247, 51472, 51050, 51472, 50426, 53077, 66562, 73642, 69052, 54414, 61928, 66562, 69556, 54812, 51472, 51247, 51472, 51050, 51472, 50871, 51472, 50877, 51472, 50474, 54812, 63882, 70148, 51073, 51540, 55062, 51472, 52206, 51472, 51085, 51472, 50900, 51472, 50861, 51472, 50438, 54812, 63882, 70148, 69556, 54414, 51073, 52206, 51710, 50292, 57704, 66562, 51073, 50456, 52759, 51710, 50293, 50924, 50462, 54812, 51073, 51120, 63882, 70148, 51073, 50474, 55062, 51073, 51315, 51073, 51027, 65815, 61928, 51073, 51540, 56587, 51896, 51247, 50821, 51050, 50821, 51027, 51896, 50900, 51896, 50871, 51896, 50426, 51247, 50821, 51050, 52877, 51247, 50821, 51050, 53153, 51247, 51919, 50297, 50936, 50474, 53250, 51073, 51146, 50859, 50477, 51062, 50859, 50480, 51220, 50859, 50483, 51062, 50859, 51540, 53407, 63882, 51073, 51339, 69555, 54985, 70148, 51073, 51814, 69052, 53863, 64217, 51487, 69556, 53407, 63882, 51073, 51339, 51073, 50462, 53771, 66562, 51073, 51430, 51073, 50474, 53077, 73642, 51073, 51146, 51073, 51540, 53250, 63882, 51073, 51062, 69555, 53771, 51710, 50332, 64608, 51073, 50432, 53077, 51710, 50330, 58818, 53250, 77604, 58733, 51073, 50444, 54414, 51710, 50326, 58138, 54812, 51472, 50871, 51073, 50999, 51472, 50462, 50877, 51073, 50474, 54812, 64217, 50999, 51073, 51540, 55062, 51472, 50997, 51073, 50951, 51472, 53337, 69052, 53077, 61928, 51073, 51146, 69556, 53250, 51472, 50900, 77604, 51472, 50456, 50916, 50924, 50462, 50861, 51073, 50474, 60293, 66562, 51073, 50968, 51073, 51540, 56587, 51896, 50871, 70148, 51073, 50931, 51896, 53523, 52877, 51027, 53153, 51050, 51472, 50474, 54812, 51073, 50931, 51073, 50999, 51073, 51540, 55062, 51472, 52206, 60594, 51472, 50951, 51472, 70161, 69052, 54812, 51073, 51085, 51073, 50931, 51073, 50999, 69556, 54414, 51073, 51085, 51073, 50951, 51073, 51081, 51073, 50462, 54812, 51073, 51085, 51073, 50931, 51073, 50999, 51073, 50474, 55062, 51073, 51085, 73624, 51073, 50951, 51073, 50477, 51120, 50859, 50480, 51197, 50859, 50483, 51315, 50859, 51540, 54812, 51472, 51247, 51073, 50931, 51472, 50999, 51472, 60643, 69052, 53250, 51073, 51050, 51073, 51062, 69556, 53407, 51472, 51050, 51073, 51339, 51472, 50462, 51050, 51073, 50474, 54812, 51073, 51050, 50859, 50931, 51073, 50999, 51073, 50477, 51026, 50859, 50480, 51027, 50859, 50483, 51086, 50859, 51540, 55062, 51472, 50900, 51073, 50968, 51472, 50951, 51472, 53523, 69052, 54812, 65815, 51073, 50931, 51073, 50999, 69556, 54414, 65815, 51073, 50951, 51073, 51081, 51073, 50462, 54812, 65815, 51073, 50931, 51073, 50999, 51073, 50474, 55062, 65815, 50859, 50968, 51073, 50951, 51073, 50477, 51086, 50859, 50480, 50900, 50859, 50483, 50997, 50859, 51540, 54812, 51472, 50999, 75858, 51073, 63766, 57316, 50999, 60757, 51073, 77431, 58818, 53250, 51073, 50999, 60757, 51073, 50444, 51062, 58138, 53407, 51472, 50871, 51073, 51339, 51472, 50462, 50871, 51073, 50474, 53250, 63882, 50859, 50999, 51073, 51062, 51073, 50477, 50916, 50859, 50480, 50899, 50859, 50483, 50900, 50859, 51540, 53077, 51472, 50997, 51710, 50326, 51472, 51146, 51472, 55961, 50924, 53337, 57943, 50871, 58818, 53407, 64209, 51710, 50333, 51073, 57428, 58138, 56418, 51472, 50997, 51710, 50338, 51472, 50456, 50871, 50924, 78092, 50924, 50468, 50871, 50924, 50474, 53077, 64209, 51710, 50326, 51073, 51146, 51073, 50480, 50871, 50924, 51540, 53250, 51472, 51050, 51710, 50325, 51472, 51062, 51472, 55961, 50924, 57025, 57943, 50871, 58818, 53407, 65815, 51710, 50333, 51073, 57428, 58138, 54985, 51472, 51050, 51710, 50337, 51472, 50456, 50871, 50924, 50462, 51027, 50924, 50468, 50871, 50924, 50474, 53250, 65815, 51710, 50325, 51073, 51062, 51073, 50480, 50871, 50924, 51540, 53077, 51472, 50997, 51710, 50326, 51472, 51146, 51472, 55961, 50924, 53337, 57943, 50871, 58818, 53863, 64209, 51710, 50335, 51073, 57428, 58138, 53771, 51472, 50900, 51710, 50326, 51472, 51430, 51472, 72786, 50924, 50462, 50916, 50924, 50468, 50861, 50924, 50474, 53250, 51073, 51062, 50952, 50916, 50924, 50478, 51220, 50859, 50480, 50861, 50924, 50482, 51081, 50952, 51540, 53407, 51896, 50899, 51710, 50325, 51896, 51339, 51896, 57340, 50924, 53645, 57943, 50877, 50924, 57019, 60021, 50877, 58138, 53077, 51896, 50916, 51710, 50326, 51896, 51146, 51896, 50456, 50906, 50924, 50462, 50861, 50924, 50468, 50906, 50924, 50474, 50861, 50924, 50480, 50906, 50924, 51540, 53250, 63882, 51710, 50325, 51073, 51062, 51073, 58060, 57316, 54414, 51073, 50916, 77152, 51073, 51081, 51073, 59409, 58818, 54812, 63882, 76028, 51073, 50999, 51073, 75795, 58138, 55062, 66562, 51710, 50320, 51073, 50951, 51073, 75152, 50924, 50462, 56587, 70148, 76028, 51073, 50468, 50876, 50924, 50474, 60293, 61928, 59820, 51710, 50320, 51073, 50480, 50876, 50924, 51540, 56587, 51472, 50871, 51472, 50877, 51472, 50931, 51472, 50438, 55062, 51454, 50900, 75930, 51454, 50876, 51454, 50968, 51454, 50951, 51454, 50450, 55062, 52097, 50900, 52097, 50861, 52097, 50876, 52097, 50968, 52097, 50951, 52097, 50474, 54812, 51454, 51050, 51454, 50871, 51454, 50876, 51454, 50931, 51454, 50999, 51454, 51540, 54812, 52097, 51050, 52097, 50871, 52097, 50876, 52097, 50931, 52097, 50999, 52097, 50438, 53771, 51454, 52206, 51454, 51085, 51454, 50951, 51454, 51081, 51454, 51062, 51454, 51430, 51454, 50450, 53771, 52097, 52206, 52097, 51085, 52097, 50951, 52097, 51081, 52097, 51062, 52097, 51430, 52097, 50474, 53407, 51454, 51247, 51454, 51050, 51454, 50931, 51454, 50999, 51454, 51062, 51454, 51339, 51454, 51540, 53407, 52097, 51247, 52097, 51050, 52097, 50931, 52097, 50999, 52097, 51062, 52097, 51339, 52097, 50450, 50876, 72559, 50860, 50462, 51062, 53318, 50335, 51021, 50468, 51062, 53318, 50335, 51021, 50474, 51062, 51454, 51487, 51454, 51540, 50931, 52035, 50325, 54675, 51339, 53318, 50337, 59273, 51339, 53318, 50337, 62729, 51339, 51454, 51814, 51454, 50450, 50876, 72559, 50860, 50462, 51062, 53318, 50340, 51021, 50468, 51062, 53318, 50340, 51021, 50474, 51062, 51454, 51430, 51454, 52357, 51454, 51540, 50871, 72712, 52035, 50333, 52035, 50337, 52035, 50345, 50860, 50474, 51431, 60594, 51454, 51540, 51509, 51472, 51247, 51919, 50297, 63621, 52097, 50931, 52097, 50438, 51509, 70148, 51454, 50931, 51454, 50450, 51509, 51073, 51247, 51919, 50297, 63621, 51454, 50931, 51454, 50462, 51744, 60594, 51454, 50968, 51454, 50474, 51485, 66562, 51454, 50902, 51454, 51540, 51431, 70148, 51454, 50876, 51454, 51247 ]

[ 0, 713, 15352, 30054, 3152, 2214, 6, 19, 670, 3495, 16882, 6, 22750, 1626, 11098, 8, 657, 149, 63, 33558, 34879, 4, 10326, 8, 81, 9756, 3459, 29589, 185, 5, 483, 6, 2800, 30, 30587, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 538, 8, 6780, 10, 5204, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 178, 5285, 2877, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 211, 6, 83, 6, 8, 381, 4620, 5, 46336, 24456, 6, 16331, 5705, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50796, 50444, 51268, 52011, 51208, 50974, 51746, 50901, 51823, 58959, 51385, 50972, 52232, 54771, 54110, 52212, 51595, 50972, 51185, 50943, 51499, 50845, 51478, 51013, 52484, 51314, 50791, 50862, 67063, 51079, 51188, 53021, 64195, 51083, 51333, 51268, 50932, 51188, 50995, 51823, 56901, 50887, 51544, 58467, 51401, 51490, 51083, 51703, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 55395, 51020, 50838, 51245, 54042, 60825, 51023, 52919, 51323, 53363, 50791, 50836, 52320, 60550, 52473, 52212, 51969, 51080, 50791, 50840, 66821, 51637, 51200, 72876, 58387, 51083, 51079, 51188, 53021, 52329, 51083, 51432, 51188, 57948, 58255, 51282, 51080, 51089, 51080, 51200, 51047, 51404, 51183, 50791, 50840, 51570, 60825, 51208, 50974, 51746, 54042, 53688, 51385, 50972, 52232, 56362, 55370, 54110, 52147, 51595, 50972, 51185, 50943, 51499, 50845, 51478, 51013, 52484, 51314, 50791, 50855, 67063, 50972, 51188, 53021, 62910, 51083, 51333, 51268, 51108, 51188, 50995, 51823, 56901, 50809, 51544, 57378, 51401, 51490, 51083, 51490, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 52444, 51020, 50838, 51245, 52839, 60226, 51023, 52919, 51323, 53363, 50791, 50840, 52320, 59593, 52473, 52212, 51969, 51080, 50791, 50809, 66821, 51283, 51200, 72876, 55650, 51083, 51079, 51188, 53021, 54818, 51083, 51432, 51188, 57948, 60838, 51282, 51080, 51089, 51080, 51200, 51047, 51404, 69601, 50840, 51570, 57522, 51208, 50974, 51746, 54042, 53938, 51385, 50972, 52232, 56362, 54232, 54110, 52212, 51595, 50972, 51185, 51003, 51499, 50845, 51478, 51013, 52484, 51314, 51065, 50813, 67063, 50972, 51188, 53021, 55650, 51083, 51330, 51268, 51108, 51188, 50995, 51823, 56901, 50890, 51544, 58467, 51401, 51703, 51083, 51490, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 53813, 51020, 50838, 51245, 54042, 60226, 51023, 52919, 51323, 53363, 50791, 50840, 52320, 51126, 51647, 55835, 52473, 52212, 51969, 51080, 50791, 50840, 66821, 51283, 51200, 51115, 63353, 50420, 51083, 51079, 51188, 54265, 53548, 51083, 51432, 51188, 57948, 60838, 51282, 51080, 51089, 51080, 51200, 51047, 51404, 51183, 50791, 50809, 51570, 76373, 51208, 50974, 51746, 54042, 53886, 51385, 51079, 52232, 53021, 59593, 54110, 52212, 79775, 51185, 51003, 51499, 50845, 51478, 51013, 52484, 51314, 50791, 50855, 51621, 51126, 67063, 51079, 51188, 53021, 55650, 51083, 51330, 51268, 51108, 51188, 50995, 51823, 56901, 50836, 51544, 50971, 51532, 57378, 51401, 51490, 51083, 51490, 51268, 50845, 64006, 51263, 51244, 51188, 51244, 50791, 54431, 51020, 50838, 51245, 54042, 56069, 51023, 52071, 51323, 51991, 50791, 50836, 52320, 60272, 52473, 52212, 51969, 51080, 50791, 50840, 66821, 51283, 51200, 51115, 53861, 51402, 55772, 51083, 51079, 51188, 50892, 69717, 51083, 51432, 51188, 50972, 52385, 50432, 51282, 50844, 51089, 50822, 51200, 76871, 53097, 51156, 54989, 51208, 50892, 51746, 53794, 51385, 50838, 52232, 56649, 50862, 54706, 54583, 51205, 51226, 54110, 51703, 51595, 50974, 51185, 50914, 51499, 50873, 51478, 51016, 52484, 65345, 57639, 50862, 51329, 51551, 67063, 50838, 51188, 50901, 52470, 51075, 60055, 51083, 51108, 51268, 51097, 51188, 50915, 51823, 71491, 52374, 50887, 51529, 60823, 51213, 55855, 50855, 52470, 66962, 50896, 51401, 51447, 51083, 51447, 51268, 50873, 79439, 51263, 51145, 51188, 51148, 59284, 50887, 51063, 51551, 51075, 56039, 51020, 50905, 66011, 79025, 51023, 53651, 51323, 54454, 50816, 52374, 54755, 50953, 51370, 54232, 50927, 51573, 52473, 51490, 51969, 51244, 59284, 50890, 51155, 51551, 66821, 51477, 51200, 51295, 52470, 51046, 60055, 51083, 50838, 51188, 56649, 52633, 50887, 51075, 52910, 71653, 51083, 51074, 51188, 65178, 50855, 52470, 50432, 51069, 51761, 51282, 51244, 51089, 51244, 51200, 51183, 51404, 51127, 59284, 50890, 51046, 51551, 51570, 50864, 51219, 51364, 50444, 51208, 50892, 51746, 54792, 52374, 50887, 51288, 52728, 77764, 51385, 50838, 52232, 50845, 52470, 50456, 51205, 51761, 54110, 51703, 51595, 50974, 51185, 50914, 51499, 50873, 51478, 51016, 52484, 51244, 59284, 50890, 51329, 51196, 67063, 50838, 51188, 50901, 52470, 51075, 51364, 50420, 51083, 51108, 51268, 51097, 51188, 50981, 51823, 71491, 52633, 50887, 51529, 60823, 51213, 65426, 50855, 52470, 66962, 51059, 51401, 51447, 51083, 51447, 51268, 50873, 79439, 51263, 51145, 51188, 51145, 59284, 50887, 51063, 51196, 51075, 56039, 51020, 50974, 66011, 79025, 51023, 53651, 51323, 54454, 50816, 52633, 54755, 63485, 52470, 50456, 50927, 51029, 52473, 51490, 51969, 51148, 59284, 50890, 51155, 51551, 66821, 51477, 51200, 51295, 52470, 51046, 60055, 51083, 50972, 51188, 56649, 52374, 50887, 51075, 60823, 67910, 51083, 51074, 51188, 65178, 50862, 52470, 67654, 53860, 51069, 50894, 51282, 51244, 51089, 51148, 51200, 51183, 51404, 51127, 59284, 50890, 51046, 51551, 50438, 51069, 51012, 52470, 51219, 60865, 58300, 51208, 50892, 53399, 50795, 51746, 54792, 52633, 50887, 51288, 59731, 51069, 50923, 51385, 50838, 55287, 50795, 52232, 50845, 52470, 50456, 51205, 51761, 54110, 51703, 51595, 50974, 51185, 50914, 53727, 66544, 50901, 51478, 51016, 52484, 73138, 57639, 61747, 51196, 67063, 50838, 51188, 50901, 52470, 51075, 60055, 51083, 51108, 51268, 51097, 52678, 74493, 50915, 51823, 71491, 52633, 50887, 51529, 60823, 51213, 65426, 50862, 52470, 66962, 51573, 51401, 51447, 51083, 51447, 51268, 50873, 52678, 50795, 51823, 50893, 51263, 51148, 51188, 51145, 59284, 50890, 51063, 51551, 51075, 56039, 51020, 50974, 51992, 50795, 66011, 79025, 51023, 53651, 52235, 51036, 51323, 52382, 50816, 52374, 54755, 51213, 51331, 54232, 77199, 52473, 51490, 51969, 51148, 59284, 50887, 51155, 51196, 66821, 51477, 51200, 51295, 52470, 51046, 51364, 50420, 51083, 50838, 51188, 56649, 52374, 50887, 51075, 60823, 55952, 51083, 51074, 51188, 65178, 50862, 52470, 50432, 60378, 51282, 51244, 51089, 51148, 51200, 51183, 51404, 51127, 59284, 50890, 51046, 60655, 51069, 52448, 50864, 51219, 60865, 51208, 50905, 53399, 50795, 51746, 54792, 52633, 50887, 51288, 59731, 60378, 51385, 50838, 55287, 50795, 52232, 50845, 52470, 50456, 51205, 51237, 54110, 51703, 51595, 50974, 51185, 50914, 53727, 66544, 50873, 51478, 51016, 52484, 51244, 59284, 50890, 51329, 51196, 67063, 50838, 76709, 52470, 51075, 51364, 50420, 51083, 51108, 51268, 51097, 52678, 74493, 50915, 51823, 64019, 52633, 50887, 51529, 60823, 51213, 52590, 50862, 52470, 66962, 51059, 51401, 51447, 51083, 51447, 51268, 50873, 52678, 50795, 51823, 50893, 51263, 51148, 51188, 51148, 59284, 50890, 51063, 51196, 51075, 74814, 51020, 50974, 51992, 50795, 66011, 79025, 51023, 53651, 52235, 51036, 51323, 54454, 50816, 52374, 54755, 71151, 52470, 50456, 77199, 52473, 51490, 51969, 66314, 52625, 50862, 51155, 51196, 66821, 51477, 51200, 51295, 50852, 50864, 51046, 60055, 51083, 50838, 51188, 56649, 59057, 50887, 51075, 60823, 55952, 51083, 51166, 51188, 63097, 61036, 50816, 54215, 51011, 51009, 51282, 51244, 51089, 51148, 51200, 51183, 51404, 51127, 50816, 52625, 50813, 51046, 51551, 50435, 51224, 51126, 51658, 70863, 50887, 51219, 50983, 53525, 55434, 51971, 52390, 50930, 51288, 62902, 51224, 54915, 51760, 56234, 54663, 51205, 50824, 54110, 52212, 51595, 50995, 51268, 51466, 52678, 50936, 51499, 51003, 51823 ]

[ 0, 250, 2635, 8, 19448, 3495, 1011, 625, 11, 381, 538, 6, 4246, 10, 13305, 8, 2342, 4467, 816, 15352, 30054, 2301, 14, 35334, 6453, 9, 657, 8, 11926, 6, 19, 10, 33215, 16739, 9, 83, 73, 717, 6, 163, 406, 6, 381, 6, 3676, 1176, 406, 6, 8, 230, 10431, 406, 73, 717, 10431, 11, 10, 132, 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 ]

[ 51057, 50619, 79296, 51279, 79670, 52026, 50305, 51490, 51028, 51490, 50420, 51315, 75674, 50973, 51432, 64185, 79670, 51432, 51057, 51279, 52858, 50312, 52454, 50305, 51314, 51028, 51447, 50420, 51315, 52025, 56207, 51432, 64185, 52858, 50312, 51432, 51057, 51279, 52858, 50310, 68295, 51447, 50973, 51447, 50902, 51447, 50420, 51315, 52025, 62144, 51432, 64185, 52858, 50310, 51432, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 52858, 50308, 56515, 50877, 56515, 51028, 56515, 50968, 56515, 50420, 51315, 52025, 64185, 51432, 51057, 51279, 76194, 51315, 52025, 50432, 52671, 67336, 51432, 51057, 51789, 51741, 50289, 76813, 51315, 52397, 50426, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50851, 51057, 51789, 51712, 50289, 54126, 50308, 53126, 50313, 53126, 50317, 53126, 50320, 52011, 50420, 51789, 50851, 51315, 52397, 50423, 52155, 53220, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50822, 51057, 51789, 51741, 50289, 79124, 52845, 50317, 51490, 50968, 51490, 50420, 51315, 52397, 50426, 51789, 61418, 65298, 51789, 50851, 50916, 79124, 51387, 50435, 52083, 50810, 51057, 52251, 51458, 50289, 53186, 50312, 52845, 50317, 51490, 50968, 51490, 50420, 52083, 50827, 51315, 52397, 50423, 51789, 53220, 52671, 51255, 50877, 51432, 64185, 53186, 50312, 51387, 50435, 52671, 50827, 51057, 51789, 51351, 51279, 53186, 50310, 52845, 50313, 52845, 50317, 74606, 51315, 52397, 62144, 52858, 50315, 52858, 50318, 51432, 50429, 52202, 55100, 52671, 50851, 50916, 53186, 50310, 51387, 50435, 51596, 50827, 51057, 52671, 51244, 51279, 52858, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50965, 52845, 50317, 52845, 50320, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 53186, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52025, 50423, 50989, 55124, 50965, 51852, 50916, 52454, 50317, 52454, 50320, 51330, 64185, 75256, 70253, 51057, 51360, 80095, 51172, 50916, 74827, 67142, 51315, 51333, 50423, 51028, 54325, 50902, 51412, 50916, 61817, 57547, 50916, 60663, 60300, 51057, 52083, 51853, 50305, 77418, 62722, 51517, 50322, 57410, 51827, 50844, 50989, 70754, 52251, 52580, 52083, 51534, 50906, 62215, 65521, 52019, 50322, 61271, 50989, 56784, 52671, 50912, 51057, 51789, 70313, 72457, 61418, 58903, 54177, 52083, 51712, 50305, 72397, 78172, 52019, 50322, 60324, 51827, 63772, 58125, 52251, 52739, 52083, 50851, 50916, 57292, 58902, 67646, 56784, 52671, 50851, 51057, 51789, 52454, 50306, 52136, 50973, 51283, 50965, 51447, 50968, 51447, 56440, 52136, 50426, 51789, 65521, 56427, 51120, 51853, 50315, 50974, 51057, 51686, 51458, 50293, 74471, 66920, 73318, 52604, 51800, 50301, 55752, 51120, 52454, 50310, 59219, 70713, 55665, 52156, 69792, 51074, 51057, 51686, 50810, 51315, 67278, 61817, 79441, 70544, 52671, 54711, 52671, 51318, 51027, 55752, 50965, 51644, 50298, 68295, 65521, 55665, 51027, 52511, 50310, 51079, 51057, 52671, 50907, 50916, 53164, 50312, 53164, 50317, 51466, 50417, 52251, 54711, 51789, 52845, 50300, 51432, 53337, 53126, 50308, 80102, 53164, 50317, 52011, 50432, 52671, 50907, 51315, 51432, 50435, 52202, 50984, 51057, 52155, 51490, 51279, 79670, 52026, 50305, 51490, 51028, 51703, 50420, 51315, 75674, 50973, 51432, 64185, 79670, 51432, 51057, 51279, 52858, 50312, 52454, 50305, 51314, 51028, 51447, 50420, 51315, 52025, 56207, 51432, 64185, 52858, 50312, 51432, 51057, 51279, 52858, 50310, 68295, 51447, 50973, 51447, 50902, 51447, 50420, 51315, 52025, 62144, 51432, 64185, 52858, 50310, 51432, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 51333, 64185, 51432, 50435, 50989, 51022, 51057, 51279, 52858, 50308, 51852, 50877, 52454, 50317, 52454, 50320, 72497, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50877, 52845, 50315, 52845, 50318, 67995, 51789, 67336, 51432, 50435, 50989, 51022, 51057, 51789, 51911, 50289, 54126, 50308, 53126, 50313, 53126, 50317, 53126, 50320, 52011, 50420, 51315, 52397, 50426, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50851, 51057, 51789, 51712, 50289, 54126, 50308, 53126, 50313, 53126, 50317, 53126, 50320, 52011, 50420, 51789, 50851, 51315, 52397, 50423, 52155, 53220, 52155, 75670, 54590, 50313, 54590, 50315, 54590, 50318, 52025, 50432, 52202, 50851, 50916, 51387, 50435, 51596, 50822, 51057, 51789, 51310, 51279, 79124, 52845, 50317, 51490, 50968, 51490, 50420, 51315, 52397, 50426, 50973, 65298, 51789, 50851, 50916, 79124, 51387, 50435, 52083, 50810, 51057, 52251, 51458, 50289, 53186, 50312, 52845, 50317, 51490, 50968, 51490, 50420, 52083, 50827, 51315, 52397, 50423, 51789, 53220, 52671, 51255, 50877, 51432, 64185, 53186, 50312, 51387, 50435, 52671, 50827, 51057, 51789, 51351, 51279, 53186, 50310, 52845, 50313, 52845, 50317, 74606, 51315, 52397, 62144, 53186, 50315, 53186, 50318, 51387, 50429, 52202, 55100, 52671, 50851, 50916, 53186, 50310, 51387, 50435, 51596, 50827, 51057, 52671, 51244, 51279, 53186, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52025, 50423, 50989, 55124, 50916, 52034, 50965, 52845, 50317, 52845, 50320, 51333, 64185, 51387, 50435, 50989, 51022, 51057, 52671, 52845, 50289, 53186, 50308, 52034, 50877, 52845, 50317, 52845, 50320, 74606, 51315, 52397, 50423, 50989, 55124, 50965, 51645, 50916, 52454, 50317, 52454, 50320, 51330, 64185, 75256, 61825, 51057, 51360, 80095, 51172, 50916, 74827, 67142, 51315, 51333, 50423, 51028, 54325, 50902, 51412, 50916, 61817, 57547, 50916, 60663, 60300, 51057, 52083, 51853, 50305, 77418, 74827, 52026, 50322, 67142, 51827, 50844, 50989, 70754, 52251, 52580, 52083, 51534, 50906, 62215, 65521, 52019, 50322, 61271, 50989, 60663, 52671, 50912, 51057, 51789, 70313, 72457, 51853, 50315, 68081, 59288, 52083, 51712, 50305, 72397, 78172, 52019, 50322, 60324, 51827, 63772, 58125, 52251, 52739, 52083, 50851, 50916, 65273, 71174, 51853, 50322, 60663, 52671, 50851, 51057, 51789, 51447, 50899, 52136, 50973, 51283, 50965, 51447, 50968, 51447, 56440, 52136, 50426, 51028, 56427, 51120, 51853, 50315, 50974, 51057, 51686, 51458, 50293, 74471, 66920, 73318, 52604, 51800, 50301, 55752, 51120, 52454, 50310, 59219, 70713, 55665, 52156, 69792, 51074, 51057, 51686, 50810, 51315, 67278, 61817, 79441, 70544, 52671, 54711, 52671, 51318, 51027, 55752, 50965, 51712, 50298, 68295, 65521, 55665, 51027, 52511, 50310, 51079, 51057, 52251, 51852, 50916, 53164, 50312, 52454, 50317, 51330, 66650, 51432, 50423, 52251, 52580, 52083, 52104, 50319, 74468, 53126, 50313, 52845, 50317, 67995, 51789, 50912, 51176, 52858, 50320, 72324, 52161, 50907, 51057, 52671, 51447 ]

[ 0, 713, 17627, 17274, 5175, 2214, 6, 30291, 19, 10, 2365, 8, 33558, 16464, 6, 1575, 10, 11739, 9, 38668, 18569, 6, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 8, 3152, 6757, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 20889, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 381, 401, 6, 2060, 406, 73, 347, 6, 230, 10431, 119, 406, 6, 12608, 6, 8, 274, 10431, 119, 406, 3639, 10, 2842, 9, 46336, 30368, 7, 42, 15352, 30054, 8, 12298, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50796, 50799, 50746, 50289, 53454, 76498, 53651, 51200, 54300, 50420, 59060, 51449, 50427, 57541, 51151, 50432, 51823, 61075, 51245, 64042, 52074, 53980, 61514, 52337, 51323, 51183, 50451, 63452, 55068, 50456, 52232, 61688, 51478, 67205, 52856, 50886, 54468, 50936, 57835, 61466, 51265, 50866, 52166, 52707, 50928, 50746, 50329, 51717, 51770, 78996, 51125, 61062, 73654, 51125, 50886, 62308, 51726, 56879, 53461, 73768, 57553, 50422, 52106, 62520, 52400, 53935, 51640, 59371, 50867, 62308, 51990, 53095, 54499, 51239, 53461, 50928, 50746, 50332, 51717, 51940, 70085, 51125, 71699, 53824, 63341, 52150, 54860, 51349, 51016, 51125, 51363, 50850, 51363, 51265, 50915, 59024, 51004, 53468, 63502, 50868, 51363, 50434, 54022, 64042, 53253, 50886, 68435, 53522, 51004, 50746, 50337, 51717, 57119, 63883, 51374, 50858, 57553, 62308, 62914, 68807, 71102, 51125, 54185, 51640, 50858, 67873, 55853, 51990, 53877, 54499, 51239, 53522, 76595, 50868, 53820, 51349, 51016, 65130, 62308, 51265, 50915, 59024, 51129, 50457, 51125, 50867, 50799, 67210, 50850, 53095, 51179, 53522, 65843, 50868, 54351, 51374, 60709, 50867, 62308, 62914, 60711, 73768, 51125, 52921, 51640, 74503, 50867, 50850, 50857, 51990, 53877, 54499, 51239, 53461, 78342, 50868, 53860, 51349, 75736, 51363, 75400, 51265, 50915, 59024, 68658, 51125, 51411, 68435, 53522, 54189, 51374, 74503, 50886, 62308, 51726, 51589, 53522, 72485, 50868, 54105, 51640, 59371, 50959, 66214, 51990, 53095, 52572, 51187, 53522, 76595, 51125, 61898, 51349, 50940, 51125, 50867, 62308, 51265, 50878, 59024, 69646, 65130, 54468, 50936, 57835, 61302, 51265, 50866, 52166, 52707, 51004, 50415, 51125, 55085, 73654, 67873, 62308, 51726, 50955, 68807, 73768, 50868, 53803, 51640, 59371, 50867, 50850, 50857, 51990, 53095, 54499, 51239, 52707, 78342, 51125, 53860, 51349, 51016, 51125, 51411, 50850, 51411, 51265, 50915, 56836, 68658, 50868, 51411, 51658, 51179, 52707, 54189, 51374, 59371, 50867, 50850, 50829, 62914, 68807, 72485, 51125, 54185, 51640, 71976, 50959, 61466, 51990, 53877, 54499, 51239, 52707, 76595, 50868, 61898, 51349, 51016, 65130, 50850, 50857, 51265, 50915, 54257, 69646, 51125, 50867, 50799, 51125, 57955, 53309, 51135, 53522, 74663, 57835, 50420, 51374, 50859, 58570, 56955, 62914, 68807, 72592, 51125, 53803, 51640, 74503, 50867, 50850, 50857, 51990, 53877, 54499, 51239, 53522, 78342, 50868, 53860, 51349, 75736, 51411, 50850, 51411, 51265, 50915, 56836, 78694, 51125, 51312, 68435, 53522, 54485, 51374, 74503, 50867, 62308, 51726, 51589, 53522, 72485, 50868, 54105, 51640, 50858, 57835, 61466, 51990, 53095, 54499, 51239, 53461, 76595, 51125, 59631, 51349, 50940, 64538, 51033, 51125, 57955, 50857, 51265, 50878, 56836, 69646, 65130, 54468, 50936, 78093, 51566, 57835, 61466, 51265, 50866, 53100, 51151, 52225, 51264, 52166, 52707, 65843, 51125, 61062, 73654, 51125, 50886, 62308, 51726, 56879, 53461, 73768, 50868, 53935, 51640, 50940, 65130, 62308, 51990, 53095, 54499, 51239, 53461, 78342, 51125, 54860, 51349, 51016, 51125, 51363, 50850, 51363, 51265, 50915, 59024, 68658, 50868, 51363, 68435, 53522, 54406, 51374, 50858, 57553, 62308, 62914, 68807, 71102, 51125, 54185, 51640, 50858, 67873, 55853, 51990, 53877, 54499, 51239, 53522, 76595, 50868, 53820, 59480, 50811, 51349, 51016, 65130, 62308, 51265, 50915, 59024, 51129, 50457, 51125, 50867, 51094, 50315, 72077, 50844, 55119, 51881, 51151, 53129, 50918, 52455, 53522, 65843, 50944, 54351, 51374, 50859, 78093, 50824, 67517, 62308, 62914, 60711, 73768, 51007, 52921, 51640, 50952, 51007, 50867, 50850, 50857, 51990, 53877, 54499, 51239, 53461, 78342, 50944, 53860, 51349, 51016, 50944, 51363, 75400, 51265, 50915, 59024, 68658, 51007, 51411, 50436, 78093, 61546, 52036, 50918, 52166, 53522, 54189, 51374, 72580, 50886, 62308, 51726, 51589, 53522, 72485, 50872, 54105, 51640, 50858, 64538, 51033, 66058, 66214, 51990, 53095, 52572, 51187, 53522, 76595, 51007, 61898, 51349, 50940, 78093, 51059, 51007, 50867, 62308, 51265, 50878, 59024, 69646, 58442, 54468, 50936, 57835, 61302, 51265, 50866, 53100, 51151, 52225, 51264, 52166, 52707, 51004, 50415, 51125, 55085, 73654, 67873, 62308, 51726, 50955, 68807, 73768, 50868, 53803, 51640, 50948, 65130, 50850, 50857, 51990, 53095, 54499, 51239, 52707, 78342, 51125, 53860, 51349, 51016, 51125, 51411, 50850, 51411, 51265, 50915, 56836, 68658, 50868, 51411, 51658, 51179, 52707, 54189, 51374, 59371, 50867, 50850, 50829, 62914, 68807, 72485, 51125, 54185, 51640, 71976, 50959, 61466, 51990, 53877, 54499, 51239, 52707, 76595, 50868, 61898, 51349, 56567, 50867, 50850, 50857, 51265, 50845, 54257, 69646, 59480, 50803, 51125, 50867, 51094, 50315, 50803, 51602, 50936, 51125, 65217, 50813, 52007, 50866, 52036, 51264, 52187, 51151, 52166, 53522, 74663, 60942, 50420, 51957, 50940, 78093, 50993, 58518, 64630, 52899, 50955, 68807, 72592, 51125, 53803, 51132, 71976, 50867, 50992, 50857, 51425, 53095, 54499, 51239, 53522, 78342, 58442, 50431, 59212, 52030, 51602, 67949, 51411, 50992, 51411, 52007, 50915, 56836, 78694, 51125, 51312, 68435, 53522, 62889, 78093, 53681, 51957, 71976, 50867, 71104, 52899, 50844, 68807, 72485, 50872, 54105, 71159, 60942, 71661, 51425, 53877, 54499, 51239, 53461, 76595, 51125, 50955, 50453, 64538, 58954, 51602, 70765, 65217, 50857, 52007, 50845, 56836, 69646, 58442, 55934, 50936, 59480, 51300, 51125, 57955, 50813, 51990, 50866, 53129, 51103, 51656, 51717, 52166, 52707, 65843, 50944, 68655, 51957, 50940, 61910, 56955, 52899, 56879, 53461, 73768, 51125, 53803, 51374, 50948, 51125, 50867, 50850, 50857, 51726, 50866, 66502, 51239, 53461, 78342, 50944, 53860, 51640, 50948, 50944, 51411, 50850, 51411, 51990, 50866, 59024, 68658, 51125, 51312, 54360, 50936, 51726, 50866, 52225, 50918, 52166, 53522, 51004, 50439, 59480, 56059, 51957, 50940, 51125, 50867, 62308, 52899, 50955, 68807, 71102, 51017, 57091, 70728, 54554, 51533, 50948, 75419, 61466, 52191, 50866, 66502, 51239, 53522, 76595, 51125, 71929, 59480, 55273, 51374, 50948, 51125, 57955, 50857, 51726, 50866, 59024, 51129, 50457, 65130, 54293, 50936, 70728, 51029, 50909, 57955, 50813, 52191, 50866, 52340, 51036, 53088, 51359, 51617, 51359, 52421, 51359, 52455, 53522, 65843, 50979, 68655, 51844, 50940, 64130, 56955, 52331, 50955, 60711, 73768, 50909, 53803, 51338, 66278, 50867, 50850, 50857, 51915, 53095, 54499, 51239, 53461, 78342, 50979, 62627, 59480, 68141, 51533, 79862, 51411, 50850, 51411, 52191, 50915, 59024, 68658, 50909, 51312, 68435, 53522, 50982, 50440, 70728, 51184, 50444, 51640, 66278, 50867, 62308, 51990, 50844, 68807, 72485, 50979, 54105, 51349, 50948, 75419, 61466, 51265, 50987, 62936, 51187, 53522, 50928, 73466, 59631, 51416, 62289, 57955, 50857, 51223, 50845, 52184, 50910, 51584, 50878, 59024, 69646, 69643, 59373, 50936, 50935, 65762, 50813, 51545, 50866, 51838, 54153, 51612, 50821, 51902, 50808, 52089, 52423, 51135, 52707, 51004, 50415, 59081, 50416, 51914, 52122, 51617, 51359, 52421, 74905, 51640, 50940, 55315, 61910, 51990, 50955, 51902, 50800, 51612, 50821, 52089, 51049, 53522, 73768, 50935, 53803, 51349, 66115, 50867, 50944, 50857, 51265, 50810, 52089, 50948, 51612, 51138, 51902, 50948, 66502, 51239, 52707, 78342, 50848, 53860, 51910, 51016, 50848, 51411, 50944, 51411, 51545 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 10, 6755, 12547, 6, 3459, 9590, 6, 21979, 8669, 6, 21072, 6, 8, 2382, 3459, 8669, 4, 20, 7212, 20889, 8, 204, 73, 306, 86, 6543, 1045, 10, 3279, 6, 8520, 5466, 6, 19, 5, 33215, 16739, 9, 272, 73, 387, 6, 230, 6, 211, 6, 163, 119, 6, 8, 3676, 1271, 7, 5, 2214, 18, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50426, 51032, 50893, 50427, 50998, 50923, 50434, 64808, 50998, 51724, 60502, 50439, 50998, 51030, 50446, 51032, 55932, 50998, 55268, 51032, 71250, 50998, 51021, 50458, 64808, 62049, 68892, 52017, 50945, 50983, 51113, 51417, 51201, 50918, 53422, 50415, 50970, 51124, 50970, 52379, 50422, 66860, 63032, 50970, 76102, 51903, 56987, 72588, 74919, 50945, 58866, 50986, 51134, 50964, 51127, 51093, 51411, 51284, 50889, 51320, 65266, 69916, 50446, 68698, 50947, 51103, 51165, 51203, 51182, 58379, 51636, 50457, 50986, 51642, 50458, 52112, 50461, 51113, 51293, 51201, 51359, 66474, 51233, 50945, 51336, 53422, 50421, 50986, 51351, 50422, 63032, 50970, 50936, 51032, 53734, 51903, 56973, 50970, 51003, 50434, 70903, 50970, 60352, 50914, 63193, 50970, 50936, 51032, 50948, 50964, 51003, 51320, 59575, 50986, 51351, 50446, 70903, 50970, 50859, 50970, 51003, 68698, 50970, 50936, 51032, 50948, 50945, 55506, 51636, 50451, 50947, 51191, 50458, 50970, 50890, 70903, 50986, 51101, 52112, 69146, 51480, 50929, 52379, 51292, 51469, 50964, 51336, 51088, 51692, 51266, 51692, 53422, 50422, 76338, 52112, 51544, 51903, 56973, 50998, 50943, 50433, 67806, 50434, 63193, 50986, 51351, 50953, 51356, 51320, 60797, 69164, 68698, 50929, 51183, 51154, 51178, 51107, 56744, 51636, 50458, 50986, 51177, 52112, 50461, 51301, 51293, 51093, 51353, 69146, 51194, 50964, 51336, 53422, 50421, 50986, 51391, 50422, 63032, 50998, 51095, 51563, 60397, 51903, 56973, 51292, 51379, 50433, 71937, 51438, 50873, 50929, 51003, 50434, 63193, 51032, 50967, 51292, 51110, 50986, 51241, 50953, 51073, 51320, 65266, 51076, 50865, 69164, 50446, 51067, 50938, 68698, 50929, 51194, 50947, 50967, 51032, 51175, 50964, 52496, 51636, 50457, 73248, 51563, 71295, 51292, 50873, 52112, 50461, 51251, 51417, 73934, 51191, 51438, 50918, 51067, 52536, 50953, 51336, 51357, 51183, 53422, 50422, 50960, 51109, 63032, 50929, 52959, 51903, 58167, 51311, 51419, 50434, 63193, 50960, 51159, 50927, 51336, 51154, 51411, 51107, 50914, 51320, 65266, 50929, 51162, 50446, 52112, 50449, 51301, 72380, 51311, 51400, 51093, 56744, 51636, 50457, 50960, 51177, 50458, 52112, 73934, 51351, 50953, 51235, 51251, 51151, 51357, 51353, 53422, 50422, 50960, 51025, 63032, 51563, 50948, 50929, 51013, 50953, 55706, 51903, 56973, 51076, 50936, 50433, 51311, 51419, 50434, 51076, 50924, 51563, 50865, 63193, 61675, 51292, 50879, 50960, 51003, 51011, 50889, 51320, 65266, 50929, 51204, 50446, 66694, 51292, 50948, 68698, 68859, 51067, 50893, 51311, 51255, 51415, 52496, 51636, 50457, 62151, 67830, 50458, 51067, 50830, 52112, 50461, 51301, 51749, 51093, 53295, 61080, 51448, 50998, 51562, 50929, 51413, 50998, 51870, 51032, 51336, 51133, 51077, 53422, 50422, 52112, 51544, 51903, 56987, 52112, 50437, 51154, 60934, 50947, 51551, 50970, 51196, 50945, 51077, 51320, 59575, 50970, 51115, 50986, 51448, 50947, 51562, 50446, 51782, 52418, 69770, 51636, 50458, 51782, 51901, 50817, 50799, 59655, 63386, 67291, 50998, 51173, 50929, 51192, 50964, 52536, 51301, 52015, 51320, 59013, 52112, 51544, 51903, 56987, 52112, 51570, 60797, 51762, 52320, 61765, 51762, 61080, 50943, 50964, 51336, 51320, 64246, 70700, 50422, 63032, 50929, 60596, 51903, 58167, 50986, 51047, 50434, 63193, 50970, 51397, 50947, 51413, 50945, 61760, 52195, 51320, 60797, 60899, 50953, 50889, 55389, 63554, 51061, 77568, 51762, 61080, 51241, 50964, 50918, 51089, 51294, 51320, 59013, 70700, 52112, 51544, 51903, 56973, 50929, 50943, 50434, 50986, 51351, 63193, 50998, 50943, 50927, 51157, 51320, 60797, 50929, 52256, 60899, 50986, 51255, 51019, 51159, 55389, 63554, 50998, 78450, 51762, 61080, 51241, 50945, 50895, 50945, 51336, 51320, 59013, 78349, 63032, 50947, 55859, 51903, 58167, 50986, 51419, 50434, 52112, 56107, 50918, 51320, 59575, 50970, 51391, 50446, 50947, 51183, 60899, 50986, 51203, 55389, 61765, 60918, 51762, 61080, 51351, 50945, 51356, 51320, 59013, 74376, 52112, 51544, 51903, 56973, 50947, 51351, 50434, 50986, 51391, 52112, 56107, 50914, 51320, 59575, 69916, 50446, 50947, 51419, 60899, 50986, 51203, 50945, 50889, 55389, 61765, 50970, 51589, 50820, 61894, 51091, 50953, 50918, 51320, 59013, 64387, 63032, 51076, 51351, 50791, 51903, 56987, 50960, 51419, 52112, 53758, 51336, 51320, 59575, 67806, 50445, 51076, 51749, 50446, 60899, 50960, 51203, 55389, 63554, 65244, 50458, 51762, 61894, 51241, 50953, 51077, 51320, 64246, 50929, 51391, 50422, 63032, 51076, 59348, 51903, 58167, 50960, 51134, 50434, 63193, 50929, 51003, 74235, 51320, 65266, 51076, 51961, 50446, 60899, 50960, 51255, 77935, 55389, 63554, 65738, 50458, 51762, 61080, 51191, 50964, 50918, 53422, 50422, 50998, 51419, 52112, 51544, 51903, 56973, 50929, 79865, 66192, 63193, 74376, 72588, 50945, 50889, 51320, 60797, 51782, 52418, 52568, 50998, 51194, 50929, 51255, 51019, 67526, 51636, 50458, 65865, 70850, 51782, 51901, 53736, 50927, 50955, 61080, 51692, 50998, 51692, 50964, 51591, 51320, 59013, 52112, 51544, 51903, 56987, 63193, 51320, 50385, 52418, 60797, 51762, 52320, 64032, 61765, 51230, 51901, 50817, 61080, 51191, 50964, 51336, 51320, 64246, 69164, 50422, 63032, 50986, 51110, 50998, 51167, 50929, 64389, 51903, 58167, 65607, 62151, 65868, 50434, 63193, 68533, 62018, 70700, 50953, 51103, 51320, 65266, 68859, 70696, 50929, 51127, 50446, 60899, 50986, 51337, 50998, 51178, 50929, 51178, 55389, 63554, 66559, 63852, 50998, 51242, 50458, 51762, 61080, 51391, 50986, 51358, 50998, 51977, 50964, 50918, 51320, 64246, 69164, 50422, 63032, 50929, 55859, 51903, 56987, 50986, 51391, 63193, 50998, 51134, 50927, 50914, 51320, 60797, 50929, 51145, 60899, 50986, 51221, 51019, 50889, 55389, 61765, 50998, 51775, 51762, 61080, 51134, 50945, 50918, 51320, 64246, 50970, 51003, 50422, 63032, 50947, 75263, 51903, 58167, 64207, 50947, 59662, 66860, 63193, 74658, 51076, 50897, 74376, 50964, 51103, 51320, 65266, 50947, 51047, 50446, 60899, 66309, 51032, 51060, 50986, 51255, 55389, 63554, 69162, 50458, 50970, 51353, 50947, 51696, 51762, 61080, 51134, 50945, 51362, 51320, 59013, 69916, 52112, 51544, 51903, 56973, 50947, 51241, 50434, 71311, 69642, 63193, 51320, 59575, 71932, 51011, 51158, 50445, 50947, 51562, 50446, 51133, 50917, 60899, 50986, 51203, 51011, 51173, 55389, 63554, 50970, 77055, 70043, 51762, 61080, 51241, 51133, 51364, 51320, 64246, 70700, 50422, 52112, 51544, 51903, 56973, 50929, 50943, 50434, 50986, 51391, 51271, 50917, 63193, 70700, 51817, 51215, 51320, 60797, 50929, 51391, 52018, 50938, 60899, 50986, 51255, 51817, 51286, 55389, 63554, 68864, 51133, 67164, 51762, 73934, 51191, 50953, 51343, 51320, 59013, 50960, 51109, 63032, 50929, 51204, 50791, 51903, 58167, 51311, 51391, 50434, 74919, 70431, 53758, 50807, 51320, 59575, 50960, 51400, 50446, 50929, 51391, 60899, 51311, 51363, 55389, 57905, 60908, 50458, 63232, 51762, 54272, 51991, 50964, 51655, 51320, 56868, 50986, 51134, 50422, 70700, 52112, 51544, 51903, 56973, 50929, 51003, 50434, 65868, 63193, 50998, 51312, 51320, 60797, 50929, 51448, 60899, 50986, 51203, 55389, 63554, 50998, 51363, 50458, 51762, 61080, 50942, 50964, 51238, 51093, 51328, 51266, 51194, 51320, 59013, 63032, 50986, 51203, 50998, 50943, 50964, 51016, 51093, 51097, 51266, 51003, 55389, 50385, 52418, 53291, 57834, 51553, 58322, 51782, 52418, 62256 ]

[ 0, 250, 765, 15855, 5175, 2125, 19, 10, 2933, 8, 9066, 6711, 6, 4246, 17035, 873, 2401, 8, 12280, 3275, 1725, 3109, 4, 85, 18, 11, 83, 3694, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 41, 12447, 1001, 20889, 9, 5962, 741, 1685, 4, 20, 33215, 16739, 1171, 211, 6, 3676, 6, 83, 6, 272, 6, 8, 1918, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 52049, 73963, 52049, 51095, 50431, 52049, 51095, 50439, 52242, 51095, 50448, 51975, 62805, 52416, 51215, 51809, 52044, 51095, 50425, 52342, 51095, 50433, 52416, 51215, 56184, 79178, 55402, 50910, 50441, 52416, 51215, 55402, 57006, 52205, 51175, 50458, 52342, 50967, 53069, 52662, 50967, 50427, 52443, 51095, 61607, 50952, 50431, 59940, 68066, 51975, 51095, 59940, 60204, 52044, 51178, 50452, 52416, 51110, 50460, 52044, 51110, 55753, 52416, 51178, 50429, 51975, 51215, 62844, 50925, 50694, 50326, 75407, 63056, 50952, 75959, 79178, 63056, 50910, 75959, 56983, 51975, 51215, 50446, 52044, 51215, 50454, 52416, 51175, 51601, 52416, 51215, 50423, 52342, 50967, 50431, 52416, 51175, 62844, 50952, 50436, 63056, 50897, 50440, 52416, 51175, 63056, 50897, 50448, 52342, 51167, 50457, 52416, 51215, 52177, 52416, 51215, 50425, 51975, 50967, 62844, 71307, 62844, 64160, 52044, 50967, 62844, 69822, 52044, 64949, 52416, 50967, 50459, 52044, 51095, 53069, 52044, 51110, 50428, 52049, 51095, 63056, 50910, 63056, 59099, 57839, 50897, 63056, 50830, 50436, 52242, 51095, 57839, 50910, 63056, 60204, 52242, 51178, 50453, 52443, 51178, 50461, 52044, 51110, 55753, 51975, 51178, 50430, 51975, 51178, 50438, 51975, 51110, 55402, 50925, 50442, 55951, 70894, 55951, 58726, 52044, 51095, 50455, 52416, 50967, 51601, 52044, 51095, 50424, 52044, 66440, 52242, 51110, 56184, 50910, 50436, 55402, 75326, 52242, 51178, 56184, 50910, 50449, 52242, 51194, 50457, 52242, 51194, 52478, 52049, 75262, 52292, 79761, 52242, 51215, 53139, 50942, 53652, 50925, 53652, 56983, 53139, 50921, 53139, 50910, 53652, 50952, 50443, 52242, 51215, 53139, 50910, 53652, 50910, 53652, 50910, 50451, 52242, 51215, 50459, 51975, 51215, 52591, 52044, 51215, 50428, 51975, 51215, 50437, 52044, 50967, 50445, 52044, 51175, 57839, 50952, 50449, 57839, 79179, 52044, 51175, 57839, 50897, 50799, 52416, 51167, 50422, 52044, 51215, 50430, 52044, 51215, 50439, 52242, 51215, 56184, 50940, 50443, 56184, 71149, 52443, 50967, 56184, 57313, 51975, 51095, 51809, 52044, 50967, 50424, 52443, 51095, 50433, 51975, 51110, 50441, 52443, 51175, 53427, 50952, 55402, 50910, 50445, 53856, 50897, 55951, 50952, 50449, 52443, 51175, 53856, 50897, 55402, 61076, 52443, 51175, 52478, 51975, 51167, 50427, 52443, 51175, 50435, 51975, 51215, 50443, 51975, 51167, 57839, 75250, 58890, 50897, 50452, 52443, 51175, 58988, 50897, 50460, 52443, 51167, 52591, 52242, 51175, 50429, 52242, 51175, 50437, 52242, 51215, 58988, 78447, 58890, 50942, 50445, 58988, 64482, 52242, 51215, 50454, 52242, 50967, 50799, 52242, 51215, 50423, 52049, 50967, 50431, 52049, 51095, 50439, 52049, 50967, 53139, 50830, 53652, 61897, 53139, 50910, 53652, 50925, 50448, 52049, 50967, 53652, 50910, 55951, 57939, 52049, 51095, 52177, 52049, 51110, 50425, 52242, 50967, 50433, 52049, 51095, 50442, 52049, 65114, 52242, 50967, 53652, 69821, 53139, 56388, 52242, 50967, 53139, 50910, 53069, 52242, 51215, 50427, 52049, 50967, 50436, 52049, 75658, 52292, 51095, 58890, 50830, 50448, 56199, 50910, 50452, 52292, 51110, 58890, 78123, 52740, 51178, 55753, 52292, 51178, 50429, 52573, 64859, 52573, 51178, 50446, 52292, 51095, 53559, 50925, 53139, 50910, 53652, 58710, 53559, 50940, 52889, 50830, 53139, 69821, 53559, 50910, 53139, 50910, 53652, 50910, 50455, 52292, 51095, 51601, 52292, 51178, 50423, 52292, 71992, 52049, 51178, 50440, 52242, 51095, 50448, 52049, 51178, 50457, 52242, 51194, 52177, 52242, 51110, 53139, 50925, 50421, 53139, 71201, 53139, 58798, 52242, 51110, 50434, 51975, 50967, 50442, 52242, 51110, 50451, 52443, 51110, 50459, 52292, 51178, 58988, 50897, 51601, 58890, 78217, 52292, 51178, 58890, 68821, 52292, 51194, 50436, 52049, 51194, 50445, 52740, 51178, 50453, 52740, 51194, 50461, 52049, 51110, 55791, 50942, 69256, 50925, 52177, 57921, 50940, 69256, 73489, 52292, 51095, 55791, 50830, 69256, 59161, 52049, 64859, 52242, 50967, 50447, 52049, 51095, 50455, 52049, 51110, 51809, 52242, 50967, 56199, 60724, 55791, 50830, 50424, 52242, 50967, 56199, 58466, 52242, 51215, 50441, 52049, 50967, 50449, 52049, 51095, 50457, 52292, 51095, 58890, 50830, 50799, 56199, 69392, 52292, 51110, 58890, 56382, 52740, 51178, 50435, 52740, 51178, 50443, 52573, 51110, 50451, 52573, 51178, 50460, 52740, 51110, 55497, 50910, 53559, 50925, 51809, 55497, 50830, 53559, 61955, 52740, 51178, 55497, 50910, 53559, 50897, 50428, 52573, 51194, 50437, 52573, 51194, 50445, 52573, 51194, 50454, 52550, 51194, 50799, 52550, 51194, 50422, 52573, 51194, 55120, 57629, 54713, 50940, 50431, 52573, 51178, 55120, 68563, 52573, 51178, 50447, 52550, 66947, 53296, 51178, 51809, 52550, 51178, 54713, 60872, 54713, 50940, 50424, 55120, 50910, 50425, 53296, 51194, 50433, 53249, 51178, 50441, 53029, 72326, 53571, 51110, 50458, 55061, 51178, 52478, 55527, 50925, 55120, 50942, 69256, 65647, 55527, 50921, 54713, 50921, 50694, 50320, 50952, 50427, 56847, 50897, 55120, 50910, 69256, 50910, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 3495, 2214, 4246, 38668, 2236, 6, 3152, 6757, 6, 3459, 8669, 6, 9590, 6, 8, 21072, 4, 85, 34, 10, 33558, 8, 2829, 1619, 12, 3341, 619, 7, 24, 4, 20, 1349, 16, 11, 83, 3694, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 20598, 163, 5683, 4, 20, 1049, 33215, 16739, 10726, 9, 3676, 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 ]

[ 56236, 50796, 50458, 58065, 52122, 60516, 52096, 58004, 52122, 61514, 52122, 62206, 52122, 51265, 50910, 53285, 53501, 50913, 65795, 53495, 51031, 51350, 51003, 51302, 69681, 75692, 51179, 50820, 54117, 50837, 51368, 50837, 51195, 51194, 57096, 50870, 53924, 50365, 51901, 74847, 67256, 51179, 50837, 54117, 50837, 51368, 50837, 51350, 53454, 50438, 50913, 50379, 52289, 51750, 58751, 50920, 77300, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50829, 54117, 50863, 51368, 50863, 63150, 79914, 53495, 52630, 51289, 51179, 61435, 54131, 50884, 54117, 50837, 51368, 50837, 57096, 59383, 51248, 51985, 79914, 55018, 50365, 52082, 50818, 54117, 50837, 51368, 52896, 50913, 72568, 51539, 58751, 50920, 52568, 54117, 50863, 51368, 58958, 52190, 50835, 54117, 50863, 51368, 50863, 50799, 68151, 51717, 61919, 51717, 50744, 50317, 52337, 50913, 52786, 61720, 79273, 53090, 51302, 70119, 51179, 65118, 50839, 54117, 50837, 51368, 50837, 57096, 60002, 53254, 51717, 53924, 53600, 62843, 79914, 67256, 50846, 54117, 50837, 51368, 52896, 50913, 50379, 52289, 51916, 53107, 56877, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 63150, 65795, 58120, 50920, 78212, 70119, 51135, 64882, 50841, 54117, 50837, 51368, 50837, 57096, 50870, 53924, 53600, 67256, 65529, 65795, 50829, 54117, 50837, 51368, 52896, 56836, 52786, 59777, 52763, 51019, 51566, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 55053, 51265, 55277, 50460, 51223, 55408, 53285, 52570, 50913, 65795, 50870, 51350, 53295, 50415, 50920, 52630, 51230, 51901, 53966, 70119, 50884, 54117, 50837, 51368, 50837, 57096, 59516, 51287, 51901, 74847, 55018, 50365, 52082, 50828, 54117, 50837, 51368, 52896, 50913, 50379, 52289, 51750, 57477, 50920, 56877, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50829, 54117, 50863, 51368, 50863, 63150, 79914, 53495, 78212, 51041, 75692, 68002, 50841, 54117, 50837, 51368, 50837, 57096, 50863, 53924, 50367, 51985, 79914, 67256, 79640, 54117, 50837, 51368, 52896, 50920, 52087, 72568, 51539, 52743, 54117, 50863, 51368, 60535, 51368, 52149, 50458, 52190, 50835, 54117, 50863, 51368, 50863, 51265, 55428, 52534, 56736, 50920, 52087, 65795, 50870, 51223, 54153, 80164, 67256, 65163, 50839, 54117, 50837, 51368, 50837, 57096, 53196, 57914, 53413, 53924, 50367, 52082, 51044, 69330, 79914, 50829, 54117, 50837, 51368, 52896, 58081, 52087, 50379, 52289, 57785, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 60122, 52087, 65795, 52872, 51340, 51985, 54131, 70119, 50895, 54117, 50837, 51368, 50837, 57096, 59516, 51248, 51985, 65795, 55018, 50365, 52082, 50846, 54117, 50837, 51368, 50837, 51570, 52499, 52087, 50379, 52289, 52763, 69276, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 53285, 53002, 50913, 65795, 79273, 51717, 50415, 50920, 71523, 65916, 53966, 70119, 50846, 54117, 50837, 51368, 50837, 57096, 59516, 52029, 51901, 74847, 55018, 50365, 52082, 50846, 54117, 50837, 51368, 57413, 55613, 54975, 51676, 51192, 50913, 50379, 52289, 51750, 52523, 56877, 51617, 50936, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 51829, 50806, 52190, 50829, 54117, 50863, 51368, 50863, 60122, 52087, 79914, 58409, 51617, 74189, 51289, 51179, 72783, 54131, 50895, 54117, 50837, 51368, 50837, 57096, 58662, 51190, 51985, 79914, 55018, 50366, 52082, 50884, 54117, 50837, 51368, 57413, 50920, 52676, 55613, 51159, 50913, 72568, 51539, 52772, 54117, 50863, 51368, 58958, 52190, 50835, 54117, 50863, 51368, 57243, 55613, 50807, 63150, 52786, 61720, 50870, 51302, 51135, 69330, 75692, 50818, 54117, 50837, 51368, 50837, 57096, 58662, 51953, 56764, 53796, 62843, 79914, 67256, 50884, 54117, 50837, 51368, 52896, 51676, 51192, 50913, 50379, 52289, 51916, 52499, 56877, 51617, 50806, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 58958, 51617, 51192, 52190, 50834, 54117, 50863, 51368, 50863, 60122, 52087, 65795, 52872, 51287, 52082, 68002, 54131, 50884, 54117, 50837, 51368, 50837, 57096, 59516, 51715, 52082, 57979, 65795, 55018, 51004, 54117, 50837, 51368, 57413, 55613, 76094, 50920, 50898, 52300, 50379, 52289, 52763, 51019, 51016, 54117, 50863, 51368, 58958, 52190, 50834, 54117, 50863, 51368, 50863, 50799, 55613, 50995, 51069, 53601, 53146, 51167, 50913, 65795, 53495, 57369, 52328, 52247, 69030, 63561, 75692, 50846, 54117, 50837, 51368, 50837, 57096, 58662, 52328, 51226, 51190, 50934, 50366, 51901, 74847, 67256, 50846, 54117, 50837, 51368, 52896, 63678, 50379, 52289, 57972, 50920, 77300, 54117, 50863, 51368, 52805, 53146, 50921, 54117, 50863, 51368, 58958, 54488, 51226, 52190, 50829, 54117, 50863, 51368, 50863, 63150, 79914, 53495, 57272, 52328, 51508, 54617, 61769, 68002, 50841, 54117, 50837, 51368, 50837, 57096, 58662, 52328, 51226, 51289, 51187, 54528, 50366, 51985, 79914, 50829, 54117, 50837, 51368, 50837, 51570, 52373, 52823, 50388, 52289, 52802, 51829, 50980, 54117, 50863, 51368, 58958, 52190, 50835, 54117, 50863, 51368, 55053, 51368, 52204, 50461, 51265, 55482, 52288, 53002, 52333, 50936, 50920, 52087, 65795, 58120, 51195, 55428, 50422, 51617, 50921, 51302, 70119, 51239, 65916, 50839, 54117, 50837, 51368, 50837, 57096, 59516, 51617, 51226, 51190, 50934, 50365, 51901, 79914, 67256, 50846, 54117, 50837, 51368, 52896, 50920, 50898, 52373, 50379, 52289, 57785, 54117, 50863, 51368, 52805, 52421, 50921, 54117, 50863, 51368, 58958, 51829, 50924, 52190, 50834, 54117, 50863, 51368, 57243, 52333, 50917, 60122, 52087, 65795, 61543, 51617, 51008, 74327, 63202, 65529, 50841, 54117, 50837, 51368, 50837, 57096, 60002, 53298, 52644, 53924, 53600, 72783, 65795, 67256, 50818, 54117, 50837, 51368, 52896, 63678, 52786, 50388, 52289, 52763, 54117, 50863, 51368, 58958, 51953, 50921, 52190, 50834, 54117, 50863, 51368, 55053, 51265, 51243, 50461, 51223, 51151, 53534, 51655, 52328, 50806, 74420, 51293, 50744, 50328, 52250, 50744, 50332, 51151, 50920, 54497, 65795, 50870, 52225, 51243, 53828, 51449, 51350, 51486, 50422, 52328, 53765, 51289, 51187, 61852, 53966, 50895, 54117, 50837, 51368, 50837, 57096, 59516, 51715, 52082, 65163, 74847, 55018, 50982, 54117, 50837, 51368, 52896, 52328, 50806, 63678, 50379, 52289, 52499, 77300, 52328, 70233, 54117, 50863, 51368, 50863, 51350, 50914, 50458, 53293, 51717, 52190, 50829, 54117, 50863, 51368, 50863, 52354, 51264, 52463, 51192, 50744, 50333, 51714, 74420, 52151, 50913, 79914, 53495, 50949, 52036, 51243, 53718, 51449, 51425, 51714, 50415, 51223, 52151, 51265, 52151, 50422, 52328, 66808, 51289, 51239, 64882, 54131, 50895, 54117, 50837, 51368, 50837, 57096, 59516, 51829, 51274, 51190, 51985, 79914, 55018, 50366, 52082, 50846, 54117, 50837, 51368, 57413, 50920, 56262, 61305, 72568, 56892, 54117, 50863, 51368, 52805, 54117, 50863, 51368, 62107, 51829, 50924, 50458, 50744, 50334, 51359, 74420, 51445, 50744, 50328, 51359, 52190, 50835, 54117, 50863, 51368, 55053, 51990, 51243, 50461, 50920, 51031, 51265, 51243, 55194, 51655, 51982, 51346, 50913, 65795, 50870, 53129, 51243, 55248, 51449, 51195, 51293, 50425, 51982, 50980, 51302, 64033, 51044, 65916, 50839, 54117, 50837, 51368, 50837, 57096, 58662, 51829, 53119, 50367, 51901, 79914, 67256 ]

[ 0, 250, 765, 37903, 9, 15855, 930, 14, 115, 28, 341, 25, 10, 19834, 11, 10, 822, 4, 85, 34, 10, 19448, 8, 3722, 6711, 19, 10, 2842, 9, 15073, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 10431, 3694, 6, 34, 10, 7212, 20889, 6, 8, 16, 11, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50877, 53504, 50973, 51835, 50902, 56027, 50902, 51798, 50968, 51923, 51114, 50795, 58540, 57345, 51028, 53218, 51028, 52513, 50902, 51757, 50968, 51923, 50902, 50918, 50796, 63975, 53218, 50902, 52513, 50968, 51757, 51114, 51923, 50968, 50918, 66243, 50968, 53218, 50902, 53312, 50902, 50918, 50796, 63975, 51646, 50968, 51918, 51114, 51798, 51028, 50983, 52591, 51028, 53182, 51028, 52262, 50902, 51724, 50968, 51918, 50902, 50918, 52591, 50902, 53182, 50902, 52262, 50968, 51724, 51114, 51918, 50968, 50918, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 5679, 26709, 5175, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 38668, 22052, 6, 81, 9756, 8669, 6, 13305, 6, 8, 21072, 4, 8504, 11, 211, 3694, 19, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 2933, 648, 15352, 30054, 5466, 6, 13869, 26545, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51476, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 67480, 51476, 52284, 51651, 52911, 51476, 52116, 51231, 51520, 63433, 51651, 52163, 51476, 52937, 51231, 50803, 61323, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 67480, 51476, 52284, 51651, 52911, 51476, 52116, 51231, 51520, 63433, 51651, 52163, 51476, 52937, 51231, 50803, 61323, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 67480, 51476, 52284, 51651, 52911, 51476, 52116, 51231, 51520, 63433, 51651, 52163, 51476, 52937, 51231, 50803, 61323, 51520, 64018, 51231, 52244, 51651, 52801, 51476, 51973, 51231, 51520, 63455, 51651, 52119, 51476, 52674, 51231, 52057, 51651, 51520, 72575, 60132, 51476, 52284, 51651, 51520, 72575, 59414, 51476, 52116, 51231, 51520, 72575, 61157, 51651, 61828, 51553, 55152, 58565, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51520, 55506, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51520, 52764, 53532, 53582, 50802, 52160, 51599, 52764, 52643, 50798, 58565, 53371, 50803, 51409, 50803, 51038, 50799, 53371, 50802, 51409, 52410, 53371, 50802, 51409, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 51478, 50802, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 52160, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50802, 57668, 52177, 53371, 50803, 51409, 52244, 53582, 50802, 52160, 52038, 53371, 50803, 51409, 51779, 63455, 53582, 50802, 52160, 54241, 53371, 50803, 51409, 52057, 53582, 50802, 52160, 52313, 53582, 50802, 52160, 52175, 53371, 50803, 51409, 51779, 57325, 53582, 50802, 52160, 54934, 53371, 50803, 51409, 50803, 52591, 51026, 52038, 51026, 53694, 53912, 51026, 50824, 51382, 50824, 54955, 56778, 55383, 52410, 51026, 54433, 61308, 51973, 55383, 80019, 51812, 63455, 61308, 52030, 51026, 54241, 55383, 52057, 61308, 66371, 52313, 61308, 66371, 52175, 55383, 80019, 51779, 57325, 61308, 66371, 72430, 55383, 50803, 52177, 55383, 54433, 61308, 51973, 55383, 51779, 63455, 61308, 54241, 55383, 52057, 61308, 52313, 61308, 52175, 55383, 51779, 57325, 61308, 52325, 51026, 52937, 55383, 80019, 50993, 52177, 55383, 52410, 51026, 54433, 61308, 51973, 55383, 80019, 51812, 63455, 61308, 52030, 51026, 54241, 55383, 52057, 61308, 66371, 52313, 61308, 66371, 65027, 55383, 51779, 57325, 61308, 54934, 55383, 50803, 54955, 58297, 55383, 54433, 61308, 51973, 55383, 51779, 63455, 61308, 54241, 55383, 52057, 61308, 52313, 61308, 52175, 55383, 51779, 57325, 61308, 54934, 55383, 50803, 50799, 51678, 51009, 52252, 67330, 51234, 59101, 51234, 51812, 55112, 51234, 52125, 51234, 51029, 51716, 51009, 51382, 54098, 51234, 50802, 55881, 50803, 53034, 67330, 51197, 54433, 51197, 50993, 51302, 55112, 51197, 52125, 51197, 50802, 52009, 57310, 51197, 52911, 51197, 73116, 57325, 51026, 50993, 54955, 50802, 51678, 51009, 52252, 51009, 56978, 52038, 51026, 51812, 55112, 51026, 52125, 51026, 50802, 51716, 57310, 51026, 52175, 51026, 53694, 50824, 54955, 50802, 53034, 51009, 56978, 52038, 51026, 51812, 55112, 51026, 52125 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 1893, 43639, 6, 21072, 6, 21979, 9590, 6, 21979, 8669, 6, 8, 1076, 560, 31365, 25999, 4, 8504, 11, 83, 3694, 19, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 1372, 8, 19448, 6711, 6, 1969, 13, 5, 1619, 191, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 16, 17407, 30, 10, 33215, 16739, 9, 272, 6, 1918, 6, 8, 274, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50852, 52329, 50852, 52444, 50852, 52555, 74502, 50799, 59241, 51171, 53024, 51273, 54805, 59505, 52628, 50960, 57172, 52732, 57559, 50843, 54317, 50843, 54854, 50960, 57172, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 50960, 51428, 59505, 52847, 52555, 50970, 52732, 50836, 54710, 53875, 50960, 52732, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 52732, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 50986, 51428, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 54805, 59505, 52628, 50960, 57172, 52732, 57559, 50843, 54317, 50843, 54854, 50960, 57172, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 50960, 51428, 59505, 52847, 52555, 50970, 52732, 50855, 54710, 54583, 50960, 52732, 50855, 55975, 50855, 50799, 56422, 51461, 54805, 54878, 50986, 54180, 52732, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 50986, 51428, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51171, 53024, 51273, 54805, 59505, 52628, 50960, 54314, 51831, 55992, 57559, 50843, 54317, 51831, 55992, 54854, 50960, 54314, 51831, 56902, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 59241, 51831, 54070, 59505, 52847, 52555, 59205, 51831, 55992, 50836, 54710, 53875, 59241, 52376, 69552, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 52376, 55992, 57559, 50843, 54317, 52376, 55992, 54854, 50986, 54180, 50795, 51831, 52221, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 56422, 52376, 52221, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 54805, 59505, 52628, 50960, 54314, 51831, 50865, 51289, 52847, 57559, 50843, 54317, 51831, 55992, 54854, 50960, 54314, 51831, 56902, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 59241, 51831, 54070, 59505, 52847, 52555, 59205, 51831, 55992, 50855, 54710, 54583, 59241, 51831, 55992, 50855, 55975, 50855, 50799, 56422, 51461, 50918, 52376, 54070, 54878, 50986, 54180, 50795, 52376, 51048, 50903, 52847, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 50795, 52376, 55157, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 51907, 52634, 52510, 50986, 51428, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 50986, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51171, 53024, 51273, 50918, 51667, 54070, 59505, 52628, 50960, 54314, 51667, 55992, 57559, 50843, 54317, 51667, 55992, 54854, 50960, 54314, 51667, 56902, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 51907, 52634, 52510, 59241, 51667, 56902, 59505, 52847, 52555, 50970, 52732, 50836, 54710, 53875, 59241, 51652, 69552, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 51652, 69552, 57559, 50843, 54317, 50843, 54854, 50986, 54180, 50795, 51667, 51730, 59505, 52847, 53307, 51667, 51724, 50998, 53677, 50918, 51461, 50800, 51667, 51626, 52634, 52510, 56422, 51652, 52221, 59505, 52555, 50998, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 51831, 63185, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 54805, 59505, 52628, 50960, 57172, 52732, 57559, 50843, 54317, 50843, 54854, 50960, 57172, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51140, 51907, 52634, 52510, 50960, 51428, 59505, 52847, 52555, 50970, 52732, 50855, 54710, 54583, 50960, 52732, 50855, 55975, 50855, 50799, 56422, 51461, 54805, 54878, 50885, 57429, 52444, 50868, 52728, 50885, 51370, 52847, 54139, 51326, 52485, 50946, 51370, 52847, 53793, 51326, 50809, 50799, 59241, 51171, 53024, 51273, 50918, 77349, 51428, 59505, 52628, 50960, 54314, 51831, 50865, 57619, 52732, 57559, 50843, 54317, 51831, 50865, 54699, 52732, 54854, 50960, 54314, 51831, 51048, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 51831, 50865, 54560, 51428, 59505, 52847, 52555, 59205, 51831, 50865, 54699, 52732, 50836, 54710, 53875, 59241, 52376, 51048, 54783, 52732, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 52376, 50865, 57619, 52732, 57559, 50843, 54317, 52376, 50865, 54699, 52732, 54854, 50986, 54180, 50795, 51831, 51048, 54560, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 50800, 54978, 51626, 52634, 52510, 56422, 52376, 50983, 54560, 51428, 59505, 53401, 50843, 52716, 52555, 61337, 54699, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 54783, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 50918, 77349, 51428, 59505, 52628, 50960, 54314, 51831, 50865, 57619, 60020, 52847, 57559, 50843, 54317, 51831, 50865, 54699, 52732, 54854, 50960, 54314, 51831, 51048, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 51831, 50865, 54560, 51428, 59505, 52847, 52555, 59205, 51831, 50865, 54699, 52732, 50855, 54710, 54583, 59241, 52376, 51048, 54783, 52732, 50855, 55975, 50855, 50799, 56422, 51461, 54805, 54878, 50986, 54180, 50795, 52376, 50865, 57619, 57429, 52847, 57559, 50843, 54317, 52376, 50865, 54699, 52732, 54854, 50986, 54180, 50795, 52376, 50807, 54560, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 50800, 54978, 51626, 52634, 52510, 56422, 54560, 51428, 59505, 52555, 61337, 54699, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 54783, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51171, 53024, 51273, 50918, 51667, 50865, 77349, 51428, 59505, 52628, 50960, 54314, 51667, 50865, 57619, 52732, 57559, 50843, 54317, 51667, 50865, 54699, 52732, 54854, 50960, 54314, 51667, 51048, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 51667, 50807, 54560, 51428, 59505, 52847, 52555, 59205, 54699, 52732, 50836, 54710, 53875, 59241, 51652, 51048, 54783, 52732, 50836, 55975, 50836, 50799, 56422, 51461, 54805, 52628, 50986, 54180, 50795, 51652, 50865, 57619, 52732, 57559, 50843, 54317, 51652, 50865, 54699, 52732, 54854, 50986, 54180, 50795, 51667, 50807, 54560, 51428, 59505, 52847, 52444, 50998, 53677, 50918, 51461, 50800, 54978, 51626, 52634, 52510, 56422, 51652, 50807, 54560, 51428, 59505, 52555, 61337, 54699, 52732, 56768, 50857, 54710, 56768, 54199, 56422, 51831, 51358, 54783, 52732, 56768, 50857, 55975, 56768, 50857, 50799, 59241, 51273, 50918, 77349, 51428, 59505, 52628, 50960, 54314, 57619, 60020, 52847, 57559, 50843, 54317, 54699, 52732, 54854, 50960, 54314, 54560, 51428, 59505, 52847, 52444, 50970, 54891, 50918, 51273, 50800, 54978, 51626, 52634, 52510, 59241, 54560, 51428, 59505, 52847, 52555, 59205, 54699, 52732, 50855, 54710, 54583, 59241, 54783, 55992, 50855, 55975, 50855, 61080, 53677, 51466, 51461, 50918, 54783, 52221, 50855, 52399, 52444, 51461, 51757, 71048, 51326, 50364, 52526, 51851, 50452, 51206, 51297, 50453, 51326, 50370, 52526, 67010, 51206, 55735, 51326, 76300, 62309, 51206 ]

[ 0, 250, 8787, 15855, 15229, 11, 274, 538, 6, 42, 2125, 7630, 6568, 5, 2821, 16235, 9, 41, 9066, 822, 19834, 4, 590, 10, 6755, 12547, 23, 5, 14295, 6, 24, 30853, 23, 10, 20902, 12701, 4450, 20889, 11, 10, 155, 73, 306, 86, 6543, 4, 20, 46336, 5252, 16, 10122, 30, 5, 40286, 163, 428, 6, 230, 406, 73, 717, 6, 163, 428, 6, 274, 6, 8, 211, 119, 6, 1271, 5581, 7, 5, 5386, 8, 814, 12, 21330, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 76174, 51638, 51637, 51165, 51637, 50432, 51299, 50851, 51093, 55270, 51638, 50851, 51165, 53269, 51883, 50904, 51113, 55368, 51638, 50904, 51165, 50904, 51034, 51887, 51576, 51154, 51576, 51034, 51638, 51637, 51165, 51637, 50432, 51299, 50851, 51093, 55270, 51638, 50851, 51165, 53269, 51883, 50904, 51113, 55368, 51638, 50904, 51165, 50904, 51034, 51699, 51576, 51088, 51576, 51034, 51394, 52519, 51699, 52916, 51088, 52916, 51395, 52916, 50432, 51304, 56149, 51394, 52691, 51284, 54305, 51394, 50862, 51034, 51395, 51103, 51304, 51103, 51883, 51486, 51154, 51486, 50438, 51093, 51484, 51395, 51484, 51034, 51638, 51466, 51154, 51466, 51165, 51703, 51107, 51703, 50426, 51699, 51466, 51088, 66916, 51395, 52460, 51182, 52460, 52481, 52048, 51299, 52048, 50447, 51093, 50984, 51395, 50984, 51034, 51154, 51166, 51165, 51703, 51107, 51703, 51887, 52916, 50420, 51301, 58309, 51154, 57123, 51301, 58087, 51154, 52048, 51113, 52048, 51093, 52048, 51034, 51638, 51343, 51165, 51343, 50432, 51299, 50858, 51093, 55632, 51638, 50858, 51165, 54362, 51883, 50890, 51113, 54815, 51638, 77923, 50890, 51034, 51887, 51227, 51154, 51227, 51034, 51638, 51343, 51165, 51343, 50432, 51299, 50858, 51093, 55632, 51638, 50858, 51165, 54362, 51883, 50890, 51113, 54815, 51638, 77923, 50890, 51034, 51699, 51227, 51088, 51227, 51034, 51394, 52519, 50432, 51304, 59037, 51394, 56006, 51284, 57522, 51394, 51000, 51034, 51491, 51703, 51395, 51703, 51284, 51703, 51384, 51703, 50438, 51491, 51162, 51395, 51162, 51284, 51162, 51304, 51162, 51034, 51304, 52519, 50432, 51384, 59037, 51304, 56006, 51558, 57522, 51304, 51000, 51034, 51357, 51703, 51201, 51703, 51629, 51703, 51811, 51703, 50438, 51357, 51162, 51201, 51162, 51629, 51162, 51384, 51162, 51034, 51384, 52519, 50432, 51811, 59037, 51384, 56006, 51304, 57522, 51384, 51000, 51034, 51426, 52441, 51357, 52519, 51629, 52519, 51690, 52519, 50432, 51426, 51079, 51093, 51079, 51182, 51079, 51811, 58151, 51426, 50972, 51107, 50972, 51201, 50972, 51384, 57997, 51426, 50838, 51395, 50838, 51304, 50838, 51034, 51107, 51477, 51394, 51477, 51154, 51244, 51201, 51244, 50432, 51395, 50813, 51304, 56585, 51107, 50813, 51394, 54350, 51093, 50813, 51284, 58572, 51107, 50813, 51394, 52781, 51201, 50845, 51384, 50845, 51887, 51400, 51113, 51400, 50444, 51395, 50873, 51304, 50873, 51034, 51638, 52048, 51165, 52048, 51107, 52048, 51394, 52048, 51034, 51154, 52519, 50432, 51088, 59037, 51154, 56006, 51301, 57522, 51154, 51000, 51034, 51394, 51283, 51375, 51080, 51301, 51592, 51488, 51592, 50432, 51304, 59037, 51394, 56006, 51284, 51000, 51088, 52048, 50444, 51394, 51000, 51034, 51088, 52519, 50432, 51375, 59037, 51088, 56006, 51491, 57522, 51088, 51000, 51034, 51304, 51283, 51165, 51080, 53148, 51592, 51426, 51592, 50432, 51384, 59037, 51304, 56006, 51558, 51000, 51113, 52048, 50444, 51304, 51000, 51034, 51093, 52519, 50432, 51107, 59037, 51093, 56006, 51357, 57522, 51093, 51000, 51034, 51690, 51283, 51638, 51627, 51375, 51627, 51395, 74521, 51926, 59037, 51690, 56006, 51733, 51000, 52481, 52048, 51375, 52048, 51107, 52048, 50444, 51690, 51000, 51034, 51926, 51283, 51426, 51627, 51357, 51080, 51201, 74521, 52838, 59037, 51926, 56006, 52405, 51000, 51093, 50984, 51395, 50984, 52481, 52048, 50444, 51926, 51166, 51034, 51887, 50812, 79003, 52487, 50812, 51107, 55099, 51093, 53466, 51887, 50812, 79003, 52487, 50812, 51107, 53308, 51093, 53470, 51887, 50812, 79003, 52487, 50812, 51107, 53969, 71545, 51034, 51251, 50849, 77951, 52602, 51162, 53089, 68463, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51251, 51166, 51154, 51166, 51165, 58087, 51251, 51166, 51154, 51166, 51165, 62523, 51251, 51166, 51154, 51166, 51165, 51166, 51034, 51251, 51166, 51154, 51166, 51165, 51166, 51887, 52519, 50420, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51699, 50984, 51251, 51166, 51154, 51166, 51165, 51166, 51107, 72324, 51887, 56006, 52830, 51000, 51395, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 50440, 51107, 74965, 51395, 57522, 51887, 51000, 51107, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 50446, 51093, 76606, 51107, 51000, 51034, 51299, 51166, 51154, 51166, 51113, 51166, 52907, 52048, 51201, 52519, 50420, 51299, 51166, 51154, 51166, 51113, 58309, 51299, 51166, 51154, 51166, 51113, 57123, 51299, 51166, 51154, 51166, 51113, 51166, 51395, 58087, 51093, 51000, 51299, 51166, 51154, 51166, 51113, 62523, 51165, 51000, 51299, 51166, 51154, 51166, 51113, 51166, 51034, 51299, 51166, 51154, 51166, 51113, 51576, 51887, 52519, 50420, 51299, 51166, 51154, 51166, 51113, 58309, 51299, 51166, 51154, 51166, 51113, 57123, 51699, 50984, 51299, 51166, 51154, 51166, 51113, 51166, 51395, 72324, 51887, 56006, 52830, 51000, 51201, 51000, 51299, 51166, 51154, 51166, 51113, 51166, 50440, 51395, 74965, 51201, 57522, 51887, 51000, 51395, 51000, 51299, 51166, 51154, 51166, 51113, 51166, 50446, 51107, 76606, 51395, 51000, 51034, 51251, 51166, 51154, 51166, 51165, 51166, 52907, 52048, 51182, 52519, 50420, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51251, 51166, 51154, 51166, 51165, 51166, 51201, 58087, 51107, 51000, 51251, 51166, 51154, 51166, 51165, 62523, 51093, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 51034, 51251, 51166, 51154, 51166, 51165, 51576, 51887, 52519, 50420, 51251, 51166, 51154, 51166, 51165, 58309, 51251, 51166, 51154, 51166, 51165, 57123, 51699, 50984, 51251, 51166, 51154, 51166, 51165, 51166, 51394, 72324, 51887, 56006, 52830, 51000, 51304, 51000, 51251, 51166, 51154, 51166, 51165, 51166, 50440, 51394, 74965, 51304, 57522, 51394, 51000, 51887, 51166, 51251, 51166, 51154, 51166, 51165, 51166, 50446, 51284, 76606, 51394, 51000, 51034, 51426, 51166, 51113, 51166, 51093, 51166, 52907, 52048, 51384, 52519, 50420, 51426, 51166, 51113, 51166, 51093, 58309, 51426, 51166, 51113, 51166, 51093, 57123, 51426, 51166, 51113, 51166, 51093, 51166, 51304, 58087, 51304, 51000, 51426, 51166, 51113, 51166, 51093, 62523, 51394, 51000, 51426, 51166, 51113, 51166, 51093, 51166, 51034, 51426, 51166, 51113, 51166, 51093, 51166, 51394, 51166, 51887, 52519, 50420, 51426, 51166, 51113, 51166, 51093, 51166, 51284, 58309, 51284, 51000, 51426, 51166, 51113, 51166, 51093, 57123, 51182, 51000, 51699, 50984, 51426, 51166, 51113, 51166, 51093, 72324, 51887, 56006, 52830, 51000, 51201, 51000, 51426, 51166, 51113, 51166, 51093, 62523, 51887, 51000, 51395, 51000, 51426, 51166, 51113, 51166, 51093, 51166, 51034, 53148, 50984, 51251, 51166, 51113, 51166, 51093, 51166, 51107, 54171, 50420, 51251, 51166, 51113, 51166, 51093, 58309, 52371, 50984, 51251, 51166, 51491, 51166, 51093, 57123, 51251, 51166, 51491, 51166, 51093, 58087, 53148, 50984, 51251, 51166, 51113, 51166, 51093, 62523, 51251, 51166, 51113, 51166, 51093, 51166, 51034, 51251, 51166, 51088, 51166, 51165, 51166, 51699, 52048, 50420, 51266, 50984, 51251, 51166, 51088, 51166, 51165, 74525, 51600, 55070, 51182, 50984, 51251, 51166, 51088, 51166, 51165, 51166, 50429, 51284, 55238, 51394, 50984, 51251, 51166, 51088, 51166, 51165, 72324, 51284, 56006, 51182, 50984, 51251, 51166, 51088, 51166, 51165, 51166, 50441, 51201, 57043 ]

[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 670, 1472, 9, 822, 8, 9066, 4149, 6, 4246, 10, 326, 5638, 18026, 6, 6755, 12547, 6, 2342, 4467, 6, 17691, 28430, 6, 8, 9590, 3863, 6, 70, 447, 561, 7, 1045, 10, 13363, 28191, 25306, 676, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 21437, 10, 33215, 16739, 9, 3676, 6, 1918, 6, 8, 211, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50438, 50621, 56103, 51165, 50829, 51394, 50830, 51863, 50834, 60856, 50820, 58916, 57666, 56496, 52071, 54108, 51313, 58811, 51671, 50420, 51165, 50820, 51201, 50828, 51863, 52639, 51165, 50839, 51165, 50828, 51863, 53063, 51165, 50839, 51201, 50828, 51863, 53116, 51165, 50839, 51394, 50830, 51863, 52875, 51165, 50825, 51201, 50825, 51201, 50828, 51863, 53068, 51165, 50839, 51165, 50828, 51863, 50820, 53453, 57431, 51165, 50841, 51201, 50828, 51863, 50820, 53453, 50897, 66140, 50829, 51394, 50830, 51863, 50820, 53809, 51006, 60856, 50839, 58916, 50834, 55705, 67381, 56496, 52071, 54108, 51313, 58811, 51671, 50420, 51165, 50820, 51201, 50828, 51863, 50834, 53297, 50813, 54668, 55155, 52367, 50862, 53060, 52710, 51165, 50839, 51165, 50828, 51863, 50820, 52171, 51151, 50427, 53157, 51307, 50432, 51165, 50839, 51201, 50828, 51863, 52600, 51165, 50839, 51394, 50830, 51863, 52616, 51165, 50825, 51201, 50825, 51201, 50828, 51863, 53057, 51165, 50839, 51165, 50828, 51863, 52579, 51165, 50841, 51201, 50828, 51863, 50839, 66140, 50829, 51394, 50830, 51863, 50820, 60856, 50839, 58811, 51243, 54108, 51445, 50415, 56496, 52071, 50420, 51165, 50820, 51201, 50828, 51863, 52992, 51165, 50839, 51165, 50828, 51863, 57334, 53453, 56504, 51165, 50839, 51201, 50828, 51863, 50834, 53453, 56057, 51165, 50839, 51394, 50830, 51863, 50820, 53809, 50977, 50439, 55705, 59187, 51165, 50825, 51201, 50825, 51201, 50828, 51863, 50834, 53297, 64684, 54668, 55932, 52367, 60168, 53060, 52848, 51165, 50839, 51165, 50828, 51863, 50834, 52171, 51422, 50451, 53157, 51486, 50456, 51165, 50841, 51201, 50828, 51863, 50834, 66140, 50829, 51165, 50839, 51394, 50830, 51863, 50820, 60856, 50820, 58916, 57666, 56496, 51145, 54108, 51878, 58811, 51878, 50420, 51165, 50820, 51165, 50841, 51201, 50828, 51863, 52928, 51165, 50839, 51165, 50841, 51165, 50828, 51863, 52925, 51165, 50839, 51201, 50828, 51165, 50840, 51863, 53116, 50626, 51093, 50867, 55244, 51527, 51711, 50867, 51752, 50862, 52795, 50862, 54246, 51148, 52278, 51244, 51326, 51004, 53453, 51047, 54670, 51047, 54277, 51047, 51946, 51047, 54864, 51009, 52384, 51009, 51866, 51009, 50439, 52143, 51336, 50440, 51107, 50857, 51838, 50857, 51596, 50862, 52494, 50378, 53183, 60895, 51326, 61118, 51266, 50813, 52225, 50813, 51789, 50855, 52882, 65891, 51326, 53594, 51201, 50855, 52036, 50855, 51606, 50813, 52307, 76825, 57785, 51182, 50836, 52137, 50836, 51565, 50867, 52203, 50375, 53183, 54368, 51326, 58321, 51284, 50840, 52430, 50840, 51686, 50855, 52614, 61230, 51326, 53035, 50628, 51182, 50809, 52137, 50809, 51565, 50840, 52203, 75072, 59671, 51284, 50890, 52430, 50890, 51686, 50813, 52614, 76825, 56246, 51326, 61807, 51394, 50880, 52735, 50880, 51827, 50862, 52849, 64405, 51326, 54210, 51304, 50930, 52626, 50930, 51673, 50836, 52900, 50380, 53183, 56995, 51384, 50962, 52886, 50962, 51886, 50813, 53767, 76825, 53736, 51326, 60488, 51733, 50811, 53828, 50930, 52433, 50857, 56940, 59854, 51326, 51031, 57211, 51690, 69379, 51151, 79953, 51887, 52024, 52907, 53501, 53718, 50806, 52430, 51003, 52171, 50905, 53767, 50892, 51900, 51307, 51553, 50817, 53157, 51036, 52196, 51353, 51836, 51307, 59221, 52379, 51947, 51036, 51702, 56100, 51733, 50803, 53828, 50800, 52433, 50854, 52900, 55095, 50579, 70394, 51553, 58980, 51384, 50803, 52886, 50808, 51886, 50844, 52849, 54592, 50579, 62518, 51553, 53516, 51304, 51407, 52430, 51591, 52626, 51896, 51673, 52015, 52614, 52168, 51553, 60568, 51553, 54660, 51553, 59185, 51553, 52667, 51553, 56565, 51553, 54606, 51553, 57352, 51553, 52766, 51553, 50829, 53118, 76428, 51553, 50829, 52890, 57917, 51553, 58900, 52566, 65891, 51553, 53027, 51553, 50837, 52697, 62813, 51553, 50837, 53000, 55761, 51553, 62749, 53436, 59248, 51553, 52763, 51553, 50837, 53647, 66056, 51553, 50870, 54723, 57168, 51553, 60202, 55372, 75429, 51553, 53553, 51201, 50806, 52036, 50845, 51686, 50974, 52307, 50905, 51553, 50870, 59202, 51126, 50458, 51553, 50870, 59886, 61736, 51553, 61824, 72466, 61561, 51553, 50870, 50799, 51384, 50806, 51165, 50915, 51107, 50915, 52735, 50849, 51886, 51330, 52849, 50932, 51900, 51003, 51553, 50870, 53157, 51161, 52032, 50943, 52601, 50943, 59221, 50914, 52058, 50914, 51702, 50914, 59202, 50971, 50416, 51553, 50870, 55372, 59240, 51553, 61543, 54723, 60400, 51553, 53070, 51304, 50821, 52430, 52476, 50579, 50837, 53647, 60171, 51553, 50837, 53436, 56133, 72552, 52137, 72343, 58830, 53000, 64942, 51553, 52762, 51284, 51356, 51113, 51422, 51093, 51422, 52036, 51103, 51673, 51145, 52614, 51145, 51784, 51145, 51553, 50829, 53157, 51161, 52196, 51422, 51836, 51422, 59221, 51352, 51947, 51486, 51702, 51941, 52697, 66765, 51553, 50829, 52566, 61660, 51553, 57531, 52890, 64463, 51553, 52767, 51553, 50837, 53118, 75116, 51553, 54034, 51553, 57413, 51553, 52763, 67837, 52137, 50914, 50460, 52602, 51264, 73296, 51160, 57805, 52208, 51638, 51353, 51251, 51445, 52225, 51238, 56108, 51036, 52339, 51151, 52058, 51359, 50423, 51201, 50808, 52036, 52450, 51201, 51356, 52036, 51356, 51606, 51227, 51802, 51162, 52665, 51460, 50438, 51606, 50980, 51802, 51162, 51996, 51460, 50450, 65431, 51838, 50795, 51596, 50936, 51900, 50917, 52196, 66911, 51201, 50893, 52036, 50893, 51606, 50879, 51802, 72914, 52143, 51264, 57211, 51304, 51538, 55244, 52208, 51299, 51293, 51088, 51353, 52626, 51538, 51326, 50829, 51836, 51469, 54864, 51527, 51947, 50915, 51702, 69355, 51673, 51090, 52857, 50914, 50416, 51326, 56166, 51326, 61132, 51326, 53203, 51326, 56818, 51326, 53744, 51326, 57074, 51326, 52905, 51886, 51090, 52494, 51003, 51950, 50995, 52515, 51003, 51326, 50828, 52915, 51157, 51947, 50889, 51702, 50889, 50428, 51326, 54694, 51326, 59476, 51326, 52209, 51326, 60063, 51326, 56356, 51326, 60281, 51326, 55622, 51673, 50896, 52494, 51003, 51950, 51003, 52515, 51003, 51326, 50949, 52915, 51157, 54864, 51016, 51947, 50889, 51702, 50889, 50440, 51326, 59120, 51326, 78684, 51326, 52267, 51326, 56877, 51326, 55551, 51326, 61925, 51326, 53595, 51201, 50849, 52036, 50805, 51827, 50896, 52795, 50943, 51802, 50915, 51326, 50895, 52915, 51048, 54864, 50807, 51947, 50889, 51702, 50807, 50452, 51326, 56246, 51326, 66222, 51326, 54210, 51201, 50849, 52036, 78431, 56995, 51326, 53736, 51326, 56912, 51887, 51492, 51326, 50817, 50799, 51690, 50805, 51113, 51353, 51093, 51353, 52907, 53601, 53718, 50795, 52430, 50914, 51673, 51469, 52494, 51313, 51950, 51353, 52515, 51353, 51553, 50817, 53157, 51307, 51836, 51696, 59221, 52379, 51947, 51184, 51702, 51184, 50416, 51553, 58486, 51553, 61732, 51553, 53223, 51733, 50808, 53828, 52476, 50579, 61710, 51553, 54446, 51384, 50808, 52886, 52476, 50579, 60341, 51553, 52905, 51304, 51623, 52430, 51623, 52626, 51623, 51553, 50846, 52196, 50807, 50428, 51553, 54013, 51553, 60426, 51553, 52818, 51553, 56565, 51553, 54002, 51553, 57320, 51553, 52621, 51553, 50825, 51996, 50807, 53118, 76428, 51553, 50829, 52890, 57917, 51553, 59954, 52566, 65891, 51553, 53041, 51553, 50829, 52697, 62813, 51553, 50839, 53000, 55761, 51553, 58321, 53436, 59248, 51553, 53057, 51553, 50835, 52338, 51013, 53647, 66056, 51553, 50835, 54723, 57168, 51553, 59699, 55372, 75429, 51553, 52579, 51201, 50805, 52036, 50805, 51553 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 14123, 6, 4246, 10, 930, 2233, 6, 21072, 6, 8, 3459, 9590, 6, 42, 765, 2214, 7630, 6568, 10, 12298, 1619, 4780, 4, 8504, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 7212, 20889, 6, 24, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 230, 10431, 6, 8, 274, 10431, 401, 3639, 7, 63, 17627, 17274, 2365, 3618, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 56936, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 77880, 53277, 50588, 53415, 61186, 50924, 61684, 50924, 50453, 68474, 50859, 63687, 54418, 61186, 50924, 61684, 50924, 51213, 51454, 52591, 57963, 57943, 68474, 50924, 63687, 58818, 61186, 50924, 61684, 67636, 61006, 50879, 69255, 55416, 61186, 50865, 57963, 50924, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 50432, 68474, 50924, 63687, 50924, 51228, 51454, 50456, 74414, 50830, 61186, 50924, 51205, 51354, 52591, 63687, 50795, 57963, 50879, 51213, 51427, 50432, 63687, 50859, 57963, 54773, 61684, 50887, 61006, 52510, 61006, 50808, 61684, 68168, 63687, 50890, 57963, 65243, 61186, 50800, 61684, 50858, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 52346, 50615, 59682, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 52346, 50615, 59682, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869, 53193, 68474, 50924, 63687, 59155, 55734, 61186, 50924, 61684, 55855, 68213, 63033, 53491, 53743, 50913, 55118, 61006, 50879, 69255, 55855, 78357, 53140, 50832, 63033, 54599, 53820, 61186, 50865, 57963, 50924, 51938, 52054, 56474, 50822, 53341, 50822, 50799, 57963, 50924, 63810, 50924, 51228, 51454, 51938, 52054, 55352, 63033, 51302, 54054, 53869, 59982, 68474, 50924, 63687, 50924, 51228, 51454, 50801, 51014, 51658, 52973, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 58530, 63033, 54599, 53820, 74414, 50830, 61186, 50924, 51205, 70056, 51014, 51335, 56474, 50822, 53341, 50822, 51755, 52973, 53869, 70589, 63687, 50795, 57963, 50879, 51213, 51427, 51206, 50833, 51302, 76817, 59982, 63687, 50859, 57963, 53841, 55734, 61684, 50887, 61006, 52773, 52973, 53869, 57366, 51938, 50994, 53743, 61006, 50808, 61684, 54020, 56460, 55118, 51938, 50994, 64827, 63687, 50890, 57963, 54721, 51938, 50954, 53869, 52346, 50615, 59682, 51938, 50994, 66968, 61186, 50800, 61684, 54353, 51938, 50994, 54846, 51938, 50994, 50822, 50799, 63687, 50924, 57963, 50924, 51325, 51454, 51938, 50954, 52346, 50588, 63832, 54252, 50801, 50894, 51302, 58894, 53869, 53193, 50801, 55734, 61186, 50924, 61684, 50924, 51938, 50954, 63033, 53491, 53743, 50913, 55118, 51938, 50994, 50822, 51382, 66639, 53869, 56936, 68474, 50859, 63687, 55065, 53820, 61186, 50924, 61684, 50924, 51213, 51454, 51938, 50994, 64801, 51206, 50833, 53341, 50822, 61332, 53869, 53728, 57963, 59155, 51014, 51335, 50833, 51302, 66639, 53869 ]

[ 0, 250, 8787, 3495, 15229, 11, 230, 10431, 3694, 6, 42, 2125, 30853, 23, 10, 2635, 20889, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 657, 149, 63, 15352, 30054, 2301, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 17407, 30, 10, 33215, 13931, 9, 230, 10431, 119, 6, 2060, 6, 230, 10431, 119, 6, 274, 10431, 119, 6, 8, 381, 73, 387, 6, 1271, 3722, 5581, 7, 63, 5679, 26709, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 72191, 51040, 54590, 50286, 52988, 51378, 52988, 50418, 50989, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 50438, 51040, 51862, 50442, 50989, 52179, 78933, 52179, 50450, 51040, 51862, 50454, 50989, 52179, 50458, 50877, 52179, 57346, 51862, 51841, 52988, 51315, 52988, 50418, 50989, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 50438, 51040, 51862, 50442, 50989, 52179, 78933, 52179, 50450, 51040, 51862, 50454, 50989, 52179, 50458, 50877, 52179, 54206, 51862, 51799, 52440, 51120, 52440, 50418, 50989, 52179, 50422, 50877, 52179, 53337, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 55898, 54590, 50279, 52440, 51324, 52440, 50442, 50861, 52179, 50446, 50973, 52179, 56279, 51862, 75312, 52179, 50458, 50973, 52179, 57346, 54590, 50281, 52440, 51360, 52440, 50418, 50871, 52179, 50422, 50973, 52179, 61104, 51862, 50430, 50989, 53726, 50434, 50877, 52179, 50438, 51040, 51862, 52759, 52440, 51360, 52440, 50442, 50989, 53726, 50446, 50965, 52179, 50450, 51086, 52025, 50454, 50871, 52179, 50458, 50965, 52179, 56310, 51862, 51027, 54590, 50286, 52988, 51360, 52988, 51378, 52988, 50418, 51040, 52179, 50422, 50989, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 50438, 51040, 51862, 50442, 50989, 52179, 78933, 52179, 50450, 51040, 51862, 51028, 51852, 50454, 50989, 52179, 50458, 50877, 52179, 50459, 51028, 50912, 57346, 51862, 51028, 52528, 51247, 52988, 51360, 52988, 51050, 52988, 50418, 50965, 52179, 50422, 50973, 52179, 61104, 51862, 50430, 50965, 52179, 50434, 50973, 52179, 50438, 51040, 51862, 50442, 50965, 52179, 50446, 50973, 52179, 50450, 51040, 51862, 51028, 51852, 50454, 50965, 52179, 50458, 50973, 52179, 50459, 51028, 50912, 57346, 51862, 51966, 52440, 51378, 52440, 51028, 51490, 50418, 50989, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50989, 52179, 50434, 50877, 52179, 55898, 51862, 54637, 52440, 51324, 52440, 50902, 51490, 50442, 50989, 52179, 50446, 50973, 52179, 56279, 51862, 50454, 50989, 52179, 50458, 50973, 52179, 57346, 51862, 51841, 52440, 51315, 52440, 51028, 51490, 50418, 50916, 52179, 50422, 50877, 52179, 61104, 51862, 50430, 50916, 52179, 50434, 50877, 52179, 55898, 51862, 50973, 52845, 50284, 52440, 51315, 52440, 50442, 50916, 52179, 50446, 50965, 51862, 56279, 51524, 50968, 51330, 50454, 50916, 51862, 50458, 50965, 51862, 57346, 51365, 50877, 52026, 50289, 52988, 51027, 52988, 50418, 77925, 50422, 70742, 61104, 51524, 50430, 50916, 51862, 50434, 50877, 75594, 51040, 51524, 50442, 50916, 51862, 78933, 51862, 50450, 51040, 51524, 50454, 50916, 52179, 50458, 50877, 52179, 53975, 51862, 51279, 52988, 51027, 52988, 50418, 50916, 52179, 50422, 50877, 52179, 53523, 51862, 50430, 50916, 52179, 50434, 50877, 52179, 55203, 51862, 50442, 50916, 52179, 78933, 52179, 55895, 51862, 50876, 51852, 50454, 50916, 52179, 50458, 50877, 52179, 50459, 67030, 53975, 51862, 50876, 52528, 51214, 52988, 51026, 52988, 50418, 50916, 52179, 50422, 50906, 52179, 53523, 51862, 50430, 50916, 52179, 50434, 50906, 52179, 55203, 51862, 50442, 50916, 52179, 76495, 52179, 55895, 51862, 50876, 51852, 50454, 50916, 52179, 50458, 50906, 52179, 50459, 67030, 53975, 51862, 51247, 55036, 50297, 55036, 50316, 52528, 50418, 50871, 52179, 50422, 50877, 52179, 53523, 51862, 51841, 55036, 50296, 52397, 50430, 50916, 52179, 50434, 50877, 52179, 55203, 51862, 52046, 52440, 51197, 52440, 50442, 50989, 52179, 78933, 52179, 50450, 51086, 51862, 50973, 51333, 50454, 50989, 52179, 50458, 50877, 52179, 57542, 51862, 51841, 52440, 51315, 52440, 50973, 51490, 50418, 50916, 52179, 64309, 52179, 62795, 51862, 50430, 50916, 52179, 73866, 52179, 55203, 51862, 51279, 55036, 50316, 51333, 50442, 50916, 52179, 50446, 50989, 52179, 76400, 51862, 51085, 55036, 50313, 51333, 50454, 50916, 52179, 50458, 50989, 52179, 57542, 51862, 51324, 52440, 50973, 51490, 50418, 50916, 52179, 64309, 52179, 62795, 51862, 50430, 50916, 52179, 73866, 52179, 50438, 51086, 51862, 54637, 52440, 51324, 52440, 50973, 51490, 50442, 50956, 52179, 50446, 50989, 52179, 50450, 51086, 51862, 50454, 50956, 52179, 50458, 50989, 52179, 55524, 51210, 50916, 54590, 50284, 65527, 51315, 65527, 50418, 50861, 52179, 50422, 50973, 52179, 56248, 51862, 79580, 52179, 50434, 50973, 52179, 59419, 51862, 50442, 50965, 52179, 50446, 50973, 52179, 59758, 51862, 50968, 51333, 50454, 50965, 52179, 50458, 50973, 52179, 55524, 51862, 50931, 52528, 50418, 50877, 51862, 68225, 51862, 56248, 51524, 51279, 55036, 50301, 52397, 50430, 70742, 65281, 51524, 59419, 51365, 51085, 55036, 50304, 52397, 50442, 70742, 73227, 51524, 59758, 51524, 51279, 55036, 50301, 55036, 50319, 51330, 50454, 50877, 51862, 50458, 50876, 52179, 55524, 51862, 50968, 52528, 51841, 65527, 51315, 65527, 50418, 50965, 52179, 50422, 50973, 52179, 56248, 51862, 50430, 50965, 52179, 50434, 50973, 52179, 59419, 51862, 50442, 50965, 52179, 50446, 50973, 52179, 59758, 51862, 50968, 51333, 50454, 50965, 52179, 50458, 50973, 52179, 55524, 51862, 50931, 52528, 50418, 50877, 51862, 68225, 51862, 56248, 51524, 51279, 55036, 50301, 52397, 50430, 70742, 65281, 51524, 59419, 51862, 51085, 55036, 50304, 52397, 50442, 70742, 73227, 51524, 59758, 51524, 51279, 55036, 50301, 55036, 50319, 51330, 50454, 50877, 51862, 50458, 50876, 52179, 55524, 51862, 51841, 52440, 51315, 52440, 50968, 51490, 50418, 50965, 52179, 50422, 50973, 52179, 56248, 51862, 50430, 50965, 52179, 50434, 50973, 52179, 59419, 51862, 52759, 52440, 51360, 52440, 50968, 51490, 50442, 50861, 52179, 76495, 52179, 59758, 51862, 75312, 52179, 50458, 50906, 52179, 55524, 51862, 53492, 52440, 51234, 52440, 50968, 51490, 50418, 50989, 52179, 50422, 51028, 52179, 56248, 51862, 50430, 50989, 52179, 50434, 51028, 52179, 55898, 51862, 54637, 52440, 51324, 52440, 50902, 51490, 50442, 50989, 52179, 50446, 50973, 52179, 56279, 51862, 50454, 50989, 52179, 50458, 50973, 52179, 53975, 51862, 51841, 52440, 51315, 52440, 50876, 51490, 50418, 50916, 52179, 64309, 52179, 53523, 51862, 50430, 50916, 52179, 73866, 52179, 50438, 51086, 51862, 51247, 52440, 51050, 52440, 50973, 51490, 50442, 50899, 52179, 50446, 50965, 52179, 50450, 51086, 51862, 50454, 50899, 52179, 50458, 50965, 52179, 59130, 51862, 50989, 51490, 51966, 52440, 50418, 51086, 52179, 63715, 52179, 50426, 51378, 51862, 50430, 51086, 52179, 50434, 50899, 52179, 50438, 51378, 51862, 50989, 51490, 51966, 52440, 50442, 51086, 52179, 50446, 51040, 52179, 50450, 51378, 51862, 50454, 50997, 52179, 50458, 51040, 52179, 57542, 52845, 50279, 52988, 51966, 52988, 51324, 52988, 50418, 50899, 52179, 50422, 50989, 52179, 53337, 51862, 50430, 50989, 52179, 50434, 50973, 52179, 50438, 50989, 51862, 50442, 50973, 52179, 50446, 50902, 52179, 50450, 50989, 51862, 51114, 51852, 50454, 50973, 52179, 50458, 50902, 52179, 50459, 51114, 50912, 57126, 51862, 51114, 52528, 51234, 52988, 51378, 52988, 50997, 52988, 50418, 51028, 52179, 50422, 50968, 52179, 71241, 51524, 50430, 51028, 51862, 50434, 50968, 75594, 78353, 50442, 51028, 51862, 79472, 51862, 50450, 78353, 51114, 51645, 50454, 51028, 51862, 50458, 50968, 51862, 50459, 51114, 50851, 57126, 51524, 51324, 52440, 51086, 52440, 51114, 51447, 50418, 50973 ]

[ 0, 250, 32625, 15855, 2125, 6, 533, 14756, 13, 10, 822, 19834, 6, 4246, 41, 21979, 8669, 25, 5, 6922, 10320, 4, 590, 10, 11956, 20889, 9, 1191, 13410, 228, 2289, 8, 10, 155, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 657, 8, 20183, 4, 20, 2214, 16, 11, 5, 762, 9, 211, 538, 8, 22848, 10, 33215, 16739, 9, 211, 6, 272, 119, 1176, 406, 6, 83, 6, 211, 119, 1176, 406, 6, 8, 230, 10431, 119, 406, 428, 245, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50622, 54432, 50896, 50418, 50929, 62991, 50947, 55889, 51076, 50921, 58208, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 51574, 75085, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51311, 50921, 50929, 50921, 51067, 79729, 51563, 62991, 50947, 50921, 51786, 55889, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50960, 50921, 51076, 50921, 51034, 51032, 50921, 61446, 58308, 50418, 51067, 62991, 51078, 50921, 51292, 55889, 51067, 50921, 65400, 56767, 50430, 51032, 62887, 50960, 50921, 51076, 56360, 50947, 50921, 73829, 58308, 50442, 51076, 62888, 51311, 50921, 50929, 50921, 80056, 50921, 50986, 50823, 51078, 50921, 51444, 58297, 50621, 50418, 50929, 59723, 50621, 50422, 50947, 66693, 50621, 50426, 50621, 51131, 50921, 50960, 50921, 52028, 50896, 50430, 51078, 62887, 51078, 50921, 50947, 56360, 51032, 50921, 70712, 60511, 57360, 50442, 51076, 62888, 51078, 50921, 50947, 50921, 51034, 50622, 50929, 50921, 51076, 50921, 58208, 50418, 50929, 62991, 51078, 50921, 50947, 55889, 50929, 50921, 51076, 50921, 52028, 50896, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 73829, 58308, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51067, 50921, 65400, 56767, 50417, 50622, 50418, 51563, 59723, 50622, 50422, 50947, 50921, 51786, 66693, 50622, 50426, 50621, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50929, 50921, 51076, 50921, 51034, 50986, 50823, 50998, 50921, 51725, 50806, 50418, 51067, 62991, 51078, 50921, 51032, 55889, 51076, 50921, 53805, 50896, 56767, 50430, 50947, 62887, 50998, 50921, 50929, 56360, 51131, 50921, 50960, 50921, 70712, 50442, 50929, 62888, 50986, 50823, 51078, 50921, 51034, 51311, 50921, 50960, 50921, 50929, 50921, 54432, 73354, 51076, 62991, 50929, 50921, 51067, 55889, 51563, 50921, 63800, 50430, 51067, 62887, 51207, 50921, 50960, 50921, 51076, 56360, 50929, 50921, 70712, 65400, 50442, 51076, 62888, 53092, 50910, 50929, 50921, 51067, 50921, 51034, 50622, 54432, 73121, 50960, 51055, 65400, 50416, 51076, 50980, 50929, 51055, 50417, 51563, 56003, 52028, 53585, 51574, 50824, 58208, 56767, 64922, 50986, 51352, 51034, 52028, 50896, 61446, 57360, 62569, 50960, 60625, 51574, 50824, 50929, 53585, 70712, 65400, 56479, 60511, 62569, 51034, 51574, 50824, 58208, 73829, 56767, 51032, 53765, 52028, 50896, 61446, 50960, 53585, 58208, 56479, 56767, 63800, 51311, 51585, 51034, 50960, 50921, 51078, 50921, 50947, 50921, 70712, 51131, 73354, 50960, 62991, 50998, 55889, 50960, 50921, 51078, 50921, 51131, 50975, 51444, 65514, 50947, 62887, 51444, 50823, 51131, 50921, 50998, 50921, 50929, 56360, 50960, 50921, 51078, 50921, 50947, 50921, 70712, 50442, 51032, 62888, 51444, 50823, 50960, 50921, 50929, 50921, 51076, 50921, 51034, 51032, 50921, 59364, 50418, 50947, 62270, 51078, 55889, 50960, 68418, 51078, 62887, 51444, 50823, 50960, 50921, 50947, 56360, 51032, 50921, 70712, 61446, 50442, 51076, 62150, 51444, 50823, 50960, 50921, 50947, 50921, 51034, 58208, 51311, 69171, 59400, 50960, 50921, 50416, 70442, 50418, 50929, 62991, 50947, 55889, 51076, 50921, 52028, 50896, 56767, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51574, 50823, 51207, 50921, 50929, 50921, 51032, 50921, 50986, 50975, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51311, 50921, 50929, 50921, 51067, 50921, 50960, 51196, 50418, 51563, 62991, 50947, 50921, 51786, 55889, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 51078, 50921, 51076, 56360, 50998, 50921, 50929, 50921, 51574, 50824, 51311, 51196, 50442, 50947, 62888, 50929, 50921, 51076, 50921, 51034, 50998, 50921, 51725, 58718, 50622, 50418, 51067, 59723, 50622, 51311, 66685, 51032, 66693, 50622, 50986, 51973, 50621, 50960, 50921, 51078, 50921, 51076, 50921, 70712, 65400, 50430, 50947, 62887, 50998, 50921, 50929, 56360, 50986, 50823, 50960, 50921, 70712, 51131, 51585, 50442, 50929, 62888, 50986, 50823, 51078, 50921, 51034, 50622, 50929, 50921, 54432, 50824, 65400, 80161, 50418, 51076, 62991, 50947, 55889, 51076, 50921, 56767, 80161, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 51574, 50824, 56767, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51067, 50921, 62979, 55046, 50418, 51563, 62991, 50947, 50921, 51786, 55889, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50960, 50921, 51076, 50921, 51034, 50998, 50921, 51032, 50921, 61446, 50418, 51067, 62991, 51078, 50921, 51292, 55889, 51067, 50921, 65400, 56767, 50430, 51032, 62887, 50960, 50921, 51076, 56360, 50947, 50921, 73829, 58308, 50442, 51076, 62888, 51311, 50921, 50929, 50921, 51034, 51078, 50921, 70712, 61446, 50986, 73354, 50929, 62991, 50960, 50921, 50947, 55889, 50960, 50921, 52028, 50896, 61446, 50430, 51078, 62887, 50929, 50921, 50947, 56360, 51032, 50921, 70712, 60511, 57360, 50442, 51076, 62888, 51078, 50921, 50947, 50921, 51034, 50929, 50921, 51076, 50921, 58208, 50418, 50929, 62991, 51078, 50921, 50947, 55889, 50929, 50921, 51076, 50921, 52028, 50896, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50921, 73829, 58308, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 51067, 50921, 65400, 56767, 50418, 51563, 62991, 50947, 50921, 51786, 55889, 51076, 50921, 51563, 50921, 70712, 63800, 50430, 51067, 62887, 50929, 50921, 51076, 56360, 51311, 50921, 50998, 50921, 50929, 50921, 51574, 75085, 50947, 62888, 50929, 50921, 51076, 50921, 51034, 50986, 50823, 50998, 50921, 63642, 50417, 50622, 50418, 51067, 59723, 50622, 50422, 51078, 50921, 51032, 66693, 50622, 50426, 50621, 51076, 50921, 53805, 50896, 50430, 50947, 62887, 50998, 50921, 50929, 56360, 51131, 50921, 50960, 50921, 70712, 50442, 50929, 62888, 50986, 50823, 51078, 50921, 51034, 50622, 54432, 50896, 59364, 65400, 56479, 56767, 51076, 60625, 52028, 53585, 79655, 58208, 57998, 56767, 51032, 50824, 51034, 52028, 50896, 61446, 56479, 57360, 51067, 60625, 51574, 50824, 50929, 53585, 59364, 65400, 56479, 60511, 51067, 50824, 51034, 79655, 58208, 57998, 56767, 51032, 60625, 52028, 50896, 61446, 50960, 53585, 58208, 65400, 56479, 56767, 51076, 50824, 51034, 59364, 61446, 56479, 60511, 50947, 73354, 50960, 62991, 50998, 55889, 50947, 50921, 59364, 61446, 56479, 60511, 50430, 50947, 62887, 51444, 50921, 51131, 50921, 50998, 50921, 50929, 56360, 50947, 50921, 59364, 56479, 60511, 50442, 51032, 62888, 51444, 50921, 50960, 50921, 50929, 50921, 51076, 50921, 51034, 51032, 50921, 70712, 60511, 57360, 50418, 50947, 62270, 51078, 55889, 50960, 68418, 51078, 62887, 51444, 50823, 50960, 50921, 50947, 56360, 51032, 50921, 70712, 61446, 50442, 51076, 62150, 51444, 50823, 50960, 50921, 50947, 50921, 51034, 50929, 50921, 51076, 50975, 58208, 65400, 56479, 50418, 50929, 62991, 50947, 55889, 50929, 50921, 51076, 50921, 52028, 50896, 50430, 51067, 62887, 51078, 50921, 51032, 56360, 51032, 50823, 51574, 50806, 59077, 56488, 55046, 50442, 51292, 62888, 50947, 50921, 51067, 50921, 51034, 65400, 56479, 56767, 51067, 51059, 50418, 51563, 62991 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 13134, 2214, 4246, 2020, 3548, 6, 21979, 8669, 6, 24896, 6, 8, 21979, 9590, 6, 278, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 24826, 198, 5, 40286, 211, 8, 83, 6, 2351, 41, 11653, 8, 19448, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50796, 50459, 51997, 51212, 50799, 51707, 50978, 50417, 53154, 51212, 50420, 51707, 54347, 51997, 51432, 50425, 52554, 51116, 50429, 52146, 51336, 50431, 53416, 60157, 52554, 59983, 51997, 51177, 50441, 51707, 50974, 50443, 53154, 51562, 50447, 52181, 69698, 52162, 72044, 53167, 60491, 54039, 51123, 50454, 51840, 56608, 54647, 52146, 51795, 51997, 51177, 51007, 50817, 54039, 50824, 51840, 57303, 50850, 73481, 51840, 51215, 54079, 51158, 53476, 50800, 51840, 50802, 54039, 50802, 51444, 51108, 59609, 55728, 56102, 59748, 53154, 55041, 56102, 50835, 53476, 51749, 52162, 50805, 51131, 51484, 50960, 50820, 50947, 51241, 51067, 62658, 50960, 51145, 50424, 51997, 51111, 51067, 60184, 51216, 51379, 52181, 60092, 52028, 51051, 51444, 51108, 50429, 52131, 60394, 53154, 64463, 51131, 50886, 52028, 54854, 51997, 51212, 50850, 50962, 51840, 50828, 52028, 51221, 50433, 51131, 51377, 50436, 52146, 52069, 50947, 51642, 50437, 51067, 51642, 68005, 51500, 53154, 51775, 50439, 51444, 51576, 50442, 52181, 50827, 51131, 51097, 52028, 57997, 52162, 51363, 50850, 50817, 51840, 50817, 54039, 50829, 50960, 51047, 79853, 51067, 70635, 51997, 77393, 51493, 50940, 52181, 69305, 51574, 50977, 50454, 52162, 51241, 50456, 51705, 71936, 57895, 52344, 50827, 51840, 50817, 52028, 50866, 50460, 51997, 50866, 53458, 51175, 51311, 51679, 50415, 53476, 50864, 51207, 50937, 50417, 56102, 50907, 50418, 51707, 68655, 52162, 50974, 51207, 51377, 50960, 51003, 50929, 50943, 51076, 51051, 50421, 50847, 63863, 51997, 51376, 51076, 51709, 50426, 51273, 51043, 52554, 51432, 50427, 51707, 51115, 51444, 51108, 50430, 51207, 50904, 51311, 51241, 50431, 51997, 66013, 51207, 50974, 50960, 51775, 50929, 51108, 50433, 52554, 51008, 50847, 78117, 61385, 51076, 51642, 50437, 52146, 51353, 57280, 51124, 51444, 51108, 51207, 51878, 50439, 52554, 51363, 50442, 50960, 64831, 51997, 74458, 51311, 51484, 50960, 77749, 51218, 50445, 51707, 51242, 51076, 50878, 50448, 51076, 51642, 50449, 52554, 52989, 51273, 51255, 51444, 51108, 50451, 51997, 51233, 50454, 50935, 50928, 75924, 50455, 51707, 51058, 60697, 50457, 52181, 50844, 50847, 50817, 51439, 50829, 50960, 50925, 51076, 50977, 50460, 53154, 54558, 50318, 50982, 65498, 51311, 59700, 52162, 50865, 51207, 50904, 54079, 51175, 50947, 51283, 50415, 53476, 50854, 50850, 50974, 51444, 51108, 52028, 51174, 50417, 53154, 51101, 56102, 54657, 52162, 50845, 52028, 51108, 51131, 51377, 50421, 51840, 50883, 51067, 50955, 50424, 51997, 51177, 51067, 79433, 51216, 51286, 52181, 63024, 51444, 51108, 50430, 52131, 50857, 53154, 51328, 50431, 51131, 57547, 51997, 51177, 52028, 51576, 50947, 50925, 51067, 62903, 51707, 50867, 51067, 51108, 50947, 51423, 50438, 51389, 51379, 50439, 53154, 51103, 51444, 51174, 50442, 52181, 50867, 50850, 51319, 50960, 51709, 50444, 52162, 51412, 50850, 50817, 51444, 51481, 52028, 51221, 51131, 51241, 50947, 51377, 50448, 51997, 51043, 51067, 55437, 51216, 51111, 52181, 67447, 51444, 65126, 52162, 51100, 50944, 52134, 50960, 51939, 50456, 52344, 50867, 50944, 68969, 51031, 51840, 50891, 51574, 65264, 51997, 51212, 67554, 50460, 52028, 50813, 53458, 51215, 51707, 50978, 62486, 50935, 51000, 51207, 51218, 50417, 53154, 51212, 50420, 51707, 50810, 51311, 50827, 50929, 51241, 51076, 56174, 51997, 51432, 50425, 52554, 69745, 51273, 51423, 50429, 52146, 51336, 51439, 51269, 50935, 51269, 50430, 63413, 50431, 53416, 56799, 50935, 50817, 51439, 78230, 50817, 51207, 64160, 51078, 51642, 50435, 52554, 51008, 50436, 51846, 54431, 51216, 51160, 51997, 51177, 51131, 51675, 50441, 51707, 50974, 50442, 50850, 51297, 50947, 67762, 53154, 51562, 50444, 51125, 59482, 50817, 51649, 50846, 51649, 52167, 51574, 50972, 50947, 50925, 67704, 50998, 56888, 52181, 71487, 51078, 58510, 52162, 51310, 50947, 73265, 51273, 51534, 53167, 76595, 51444, 51709, 50453, 54039, 51123, 50454, 51840, 56608, 50880, 50960, 51381, 50456, 52146, 51795, 51997, 51177, 51007, 50817, 54039, 50824, 51840, 50803, 52028, 50972, 50947, 50925, 51067, 64801, 50850, 73481, 51840, 51215, 51067, 51108, 76425, 54079, 51162, 53476, 50844, 50850, 50879, 51444, 51709, 51444, 51108, 50418, 56102, 50886, 53154, 51480, 50420, 52162, 56219, 50817, 51840, 50817, 61447, 50947, 50943, 50960, 51377, 51067, 51391, 50424, 51997, 51212, 50425, 53167, 52917, 51493, 51566, 52181, 70134, 51444, 51709, 50429, 52131, 63341, 53154, 51277, 50960, 52140, 50432, 51997, 68592, 59482, 50817, 51840, 50817, 51131, 51318, 50947, 51255, 50436, 51707, 52788, 51140, 51566, 53154, 51742, 51444, 58862, 51840, 51851, 50442, 52181, 50864, 67555, 51574, 79959, 53167, 50870, 52162, 70267, 64223, 51997, 77393, 51705, 51427, 52181, 50874, 51504, 76596, 53167, 60202, 52162, 50943, 51840, 50904, 50850, 55370, 50850, 50817, 51840, 50817, 52028, 71248, 52344, 72070, 51007, 56603, 51997, 51058, 53458, 51286, 58283, 50415, 53476, 62122, 50912, 51439, 52192, 51207, 51178, 50417, 56102, 64685, 51707, 51008, 50935, 51126, 50419, 50847, 54202, 52162, 50978, 58735, 51311, 51025, 64226, 50421, 51439, 51072, 50847, 51072, 62388, 51076, 55054, 53154, 51126, 51997, 51254, 50424, 51076, 51642, 50929, 51637, 50425, 53154, 50863, 52554, 51387, 51707, 79642, 51273, 51212, 73402, 51269, 51444, 51709, 50429, 51997, 51233, 50430, 51311, 59833, 51207, 51314, 50432, 52554, 50987, 65923, 50935, 50802, 51439, 50824, 51311, 51377, 50960, 51412, 51076, 55270, 52146, 51692, 50436, 51076, 51642, 57280, 51167, 52554, 51423, 50935, 51269, 51444, 51108, 50441, 50935, 74965, 51997, 51242, 50847, 50857, 70642, 51311, 51709, 50444, 51707, 56347, 50976, 50847, 50802, 51439, 50993, 51076, 50933, 50929, 51221, 50448, 52554, 50864, 51076, 55437, 51273, 50892, 51997, 53726, 61204, 50935, 50971, 51444, 51051, 50453, 51439, 65126, 51707, 50866, 50935, 50864, 50847, 50855, 50960, 51642, 50456, 52181, 55305, 66109, 50817, 51439, 50818, 51311, 56054, 53154, 72275, 67828, 52162, 51158, 51131, 50867, 56950, 51379, 53476, 50844, 50850, 50892, 50960, 51241, 50417, 56102, 64305, 53154, 51411, 50420, 52162, 50987, 51007, 59482, 51072, 51840, 50824, 54039, 50824, 51131, 51108, 50947, 51518, 51067, 50959, 50424, 51997, 51277, 51067, 51642, 50425, 52181, 52872, 51216, 50967, 52181, 57544, 52131, 60155, 53154, 50892, 60917, 50431, 51997, 67772, 58051, 51007, 50817, 51840, 50993, 54039, 50824, 51131, 51056, 50960, 51417, 51067, 66859, 52146, 51422, 50436, 51067, 61417, 51273, 51337, 53154, 51452, 50439, 51444, 51709, 52028, 51174, 50441, 51840, 51128, 50442, 52181, 79174, 52028, 51481, 51131, 51351, 50444, 52162, 51534, 53167, 50870, 51007, 50817, 51840, 50824, 54039, 59080, 59788, 51997, 51337, 51067, 52763, 51493, 50879, 52181, 50822, 69946, 50909, 51166, 52028, 73173, 51444, 65126, 52162, 51177, 50944, 51000, 50960, 51134, 50456, 51705, 50830, 52344, 50874, 50944, 64622, 50817, 51840, 50811, 51574, 71429, 50847, 63940, 51997, 51277, 52028, 50855, 53458, 51238, 51707, 50987, 50847, 57749, 51432, 50415, 51207, 51056, 50418, 53154, 77769, 51707, 50822, 50935, 50817, 51439, 78230, 50817, 50960, 51562, 50929, 51377, 51076, 50955, 50424, 75938, 51076, 59386, 51273, 51328, 53416, 51022, 52554, 51423, 64059, 51207, 51174, 50430, 53416, 56981, 51252, 50847, 51126, 50431, 51078 ]

[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 2365, 619, 6, 4246, 3459, 8, 21979, 29589, 6, 21072, 6, 38668, 22052, 6, 8, 41, 21979, 9590, 4, 20, 1349, 16, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8017, 163, 5683, 4, 20, 33215, 16739, 9, 272, 6, 211, 6, 1918, 6, 8, 211, 406, 17992, 7, 5, 2214, 18, 1372, 8, 19448, 16464, 6, 442, 24, 41, 11653, 2125, 14, 19646, 13, 16041, 2397, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53788, 51059, 60211, 52054, 53657, 62650, 51451, 51244, 51366, 51244, 51209, 51244, 50988, 51448, 50885, 52263, 51716, 52147, 52471, 53801, 51039, 50367, 75453, 51768, 56823, 50810, 54659, 55641, 53229, 54150, 51150, 55024, 51589, 50367, 64256, 51832, 57385, 51059, 77809, 51366, 51244, 51209, 51244, 51229, 51244, 51334, 51244, 51701, 52147, 52295, 53801, 51180, 50367, 75453, 51955, 56823, 50810, 54659, 55641, 62650, 51217, 51753, 50946, 56711, 51150, 57888, 51589, 50367, 64256, 51832, 53788, 51059, 77809, 51716, 52212, 52295, 53055, 51039, 50371, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 50988, 51637, 50885, 51477, 51768, 56823, 51373, 53791, 55641, 62650, 52471, 53838, 50432, 51150, 57888, 51589, 50370, 64256, 51832, 57385, 51059, 52506, 54413, 62650, 51366, 51244, 51209, 51244, 51229, 51244, 51334, 51244, 51701, 52212, 51716, 53055, 51180, 50380, 75453, 51955, 56823, 51373, 51475, 55641, 62650, 51217, 51753, 50946, 50974, 52295, 53838, 50456, 51150, 57888, 55475, 50380, 64256, 51832, 53788, 51059, 77809, 50988, 51174, 64060, 51716, 52212, 52295, 53055, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 51768, 56823, 68648, 55641, 62650, 50988, 51642, 50885, 51337, 52471, 53838, 50432, 51150, 53287, 50822, 78617, 51832, 57385, 51059, 77809, 51217, 51448, 50946, 52263, 51701, 52147, 52295, 53801, 51180, 50367, 75453, 51366, 51477, 51209, 51477, 51229, 51477, 51334, 51477, 51955, 56823, 68648, 55641, 53229, 54622, 51150, 55572, 51589, 50367, 64256, 51832, 53788, 51059, 77809, 51716, 52212, 52295, 53055, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 50988, 51637, 50885, 51477, 51768, 56823, 51373, 51475, 55641, 62650, 52471, 53838, 50432, 51150, 55572, 51589, 50367, 64256, 51832, 57385, 51059, 77809, 51701, 52147, 52295, 53801, 50439, 51971, 51192, 51180, 50367, 75453, 51366, 51477, 51209, 51477, 51229, 51477, 51334, 51477, 51217, 51637, 50946, 51477, 51760, 50806, 51955, 56823, 51373, 51475, 55641, 62650, 51756, 63962, 51150, 52651, 50844, 51895, 64256, 51832, 54079, 51059, 77809, 51322, 54211, 51256, 52151, 51229, 52062, 51171, 51376, 51164, 50972, 51821, 51922, 52009, 52503, 51760, 52195, 51039, 50367, 75453, 52468, 51662, 51768, 56823, 68648, 55641, 62650, 52286, 51481, 51171, 51867, 50297, 55378, 51273, 57888, 50822, 78617, 51832, 51664, 51145, 51971, 53402, 51273, 51059, 77809, 52547, 63510, 51850, 67799, 50367, 75453, 51992, 51160, 51955, 56823, 68648, 55641, 53229, 54622, 51273, 52773, 51589, 50367, 64256, 51832, 50457, 52235, 50821, 53458, 51059, 77809, 52252, 51922, 52471, 52503, 50415, 51992, 51226, 51039, 50367, 75453, 51830, 52069, 53160, 51166, 51768, 56823, 51373, 51475, 55641, 62650, 51322, 51677, 51171, 51058, 50431, 52387, 56799, 51098, 50823, 53273, 50367, 64256, 51832, 51209, 51680, 51590, 51790, 50988, 52212, 51042, 51314, 50434, 52213, 51033, 57280, 51029, 77809, 54415, 63510, 52721, 50894, 51180, 50367, 75453, 51756, 50882, 51955, 56823, 51373, 51475, 55641, 62650, 51760, 52935, 51098, 58630, 50844, 51895, 64256, 51832, 51971, 50880, 53788, 51059, 77809, 50988, 51448, 50885, 52263, 51716, 52212, 52295, 53055, 50415, 51756, 53435, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 51768, 56823, 68648, 55641, 62650, 52471, 53838, 50432, 51150, 53287, 50822, 78617, 51832, 57385, 51059, 77809, 51366, 51244, 51209, 51244, 51229, 51244, 51334, 51244, 51701, 52212, 51716, 53055, 56960, 50380, 75453, 51217, 51637, 50946, 51477, 51955, 56823, 68648, 55641, 62650, 52295, 53838, 50456, 51150, 53287, 51589, 50367, 64256, 51832, 73092, 53788, 51059, 77809, 51366, 51244, 51209, 51244, 51590, 51244, 51390, 51244, 52252, 52147, 52295, 53801, 51039, 50368, 75453, 51768, 56823, 51373, 51475, 55641, 62650, 51217, 51753, 51042, 55544, 51150, 57888, 51589, 50371, 64256, 51832, 57385, 51059, 77809, 51217, 51448, 50946, 52263, 51701, 52212, 51716, 53055, 51180, 50368, 75453, 51366, 51477, 51209, 51477, 51229, 51477, 51334, 51477, 51955, 56823, 54791, 53187, 55641, 62650, 52295, 53838, 50456, 51150, 55572, 50844, 78617, 51832, 53788, 51059, 77809, 51451, 53651, 51366, 53651, 51209, 53651, 50988, 51470, 50885, 50845, 51716, 55856, 52295, 62321, 51039, 50367, 75453, 51768, 56823, 68648, 55641, 62650, 51366, 78952, 52063, 50885, 60675, 51150, 55024, 50822, 78617, 51832, 51366, 50808, 52224, 52691, 51150, 51059, 77809, 51366, 50812, 52471, 72782, 51180, 50367, 75453, 51366, 50812, 51955, 56823, 68648, 55641, 62650, 51366, 54424, 51150, 52651, 51589, 50367, 64256, 51832, 51366, 73613, 51210, 67693, 73092, 53788, 51059, 77809, 51256, 51016, 52471, 53142, 51039, 50371, 75453, 50988, 50933, 65999, 51768, 56823, 51373, 53791, 55641, 62650, 51366, 50938, 51322, 51328, 51209, 51742, 50432, 51150, 55572, 51589, 50370, 64256, 51832, 51322, 51013, 51366, 51295, 68846, 55306, 51150, 51059, 52506, 54413, 62650, 50988, 51333, 50885, 51542, 52295, 55002, 51180, 50380, 75453, 51322, 51233, 51451, 51623, 51955, 56823, 51373, 51475, 55641, 62650, 51451, 67773, 51150, 52750, 55475, 50380, 64256, 51832, 53458, 51059, 77809, 51322, 53651, 51209, 53651, 51590, 53651, 50988, 51210, 51042, 50978, 52252, 55856, 52009, 62321, 51039, 50367, 75453, 51768, 56823, 68648, 55641, 62650, 51322, 58796, 52460, 51042, 59982, 51098, 55075, 50822, 78617, 51832, 51322, 52599, 51098, 51029, 77809, 51322, 51294, 52471, 72782, 51180, 50367, 75453, 51955, 56823, 68648, 55641, 53229, 54622, 51098, 50921, 53273, 50367, 64256, 51832, 51322, 50865, 50988, 50907, 51042, 51051, 53458, 51091, 77809, 51366, 50807, 52471, 53142, 51039, 50368, 75453, 50988, 50912, 80057, 51768, 56823, 51373, 51475, 55641, 62650, 51229, 51328, 51322, 51013, 51390, 51742, 50432, 51098, 52651, 51589, 50371, 64256, 51832, 51590, 51295, 53160, 51254, 57280, 50802, 57713, 50882, 55088, 62650, 51451, 51111, 50988, 52011, 51042, 51333, 52009, 55002, 50444, 51668, 56425, 50371, 75453, 51229, 51233, 51912, 64466, 51389, 58807, 68648, 55641, 62650, 51209, 51177, 52145, 55346, 51668, 55075, 53887, 50812, 55474, 53364, 51832, 50457, 51451, 50805, 52215, 50812, 54079, 51059, 77809, 51322, 52500, 51322, 53588, 51256, 53588, 51229, 53588, 51171, 54146, 51164, 51254, 50946, 51210, 51821, 52727, 52009, 55275, 51039, 50367, 75453, 51768, 56823, 68648, 55641, 62650, 51171, 51376, 51164, 51058, 50946, 62050, 51273, 53287, 50822, 78617, 51832, 52224, 52691, 51273, 51300, 77809, 51180, 50367, 75453, 51955, 56823, 68648, 55641, 53229, 54622, 53273, 50367, 64256, 51832, 53458, 51059, 77809, 51256, 53588, 51209, 53588, 51590, 53588, 51390, 53588, 52252, 52727, 52547, 55275, 51039, 50371, 75453, 51164, 50827, 70750, 51768, 56823, 51373, 53791, 55641, 53229, 54150, 51098, 55572, 55629, 64256, 51832, 51830, 51111, 53160, 51121, 57280, 51059, 52506, 54413, 62650, 51664, 51215, 51164, 51961, 51042, 51419, 51180, 50372, 75453, 51451, 50983, 51955, 56823, 51373, 51475, 55641, 53229, 54622, 51098, 55075, 55475, 50380, 64256, 51832, 50461, 51366, 51714, 53788, 51059, 77809, 50988, 51174, 64060, 51716, 52212, 52295, 53055, 51039, 50367, 75453, 51451, 51477, 51366, 51477, 51209, 51477, 51768, 56823, 68648, 55641, 62650, 50988, 51642, 50885, 51337, 52471, 53838, 50432, 51150, 55075 ]

[ 0, 250, 19448, 5175, 8, 3495, 1619, 2214, 4246, 10, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 38668, 11212, 6, 8, 21072, 4, 20, 2125, 16, 11, 272, 538, 6, 34, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 272, 6, 272, 119, 1176, 406, 6, 272, 406, 6, 8, 230, 3639, 7, 5, 2214, 18, 15352, 30054, 8, 822, 12, 3341, 5466, 6, 2351, 10, 1372, 8, 32625, 13569, 9862, 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 ]

[ 57211, 69296, 51025, 51837, 50864, 52778, 59196, 51516, 76430, 51837, 56133, 52353, 57050, 53519, 52417, 51153, 51115, 52778, 51124, 51948, 79954, 51516, 54185, 51837, 58186, 52353, 54481, 52778, 50839, 62673, 51391, 51578, 50971, 52778, 50874, 51837, 59196, 52709, 54611, 52778, 65605, 51837, 78240, 51578, 56761, 51435, 50987, 52381, 51174, 51876, 51003, 52353, 61985, 51837, 54208, 52381, 55726, 51516, 54194, 51435, 54603, 51153, 50841, 50799, 52133, 60130, 51615, 52335, 51711, 51477, 52225, 51313, 58385, 50863, 55301, 51283, 51280, 51134, 64862, 51489, 64267, 53735, 58481, 51099, 76430, 51153, 54347, 55873, 50928, 51275, 56503, 55028, 51516, 52417, 51863, 51675, 58128, 50870, 51416, 52015, 51489, 51178, 51308, 51110, 51964, 50918, 50856, 56926, 54811, 51099, 54185, 51153, 58045, 51275, 54319, 51489, 54625, 50856, 59119, 50856, 50870, 50799, 51711, 51562, 52225, 51477, 54720, 51151, 51656, 51115, 57716, 51000, 52584, 51965, 51876, 51377, 51119, 50813, 51153, 50836, 51489, 59260, 53735, 59176, 51435, 55836, 53420, 51489, 59190, 56016, 57655, 50891, 51153, 53507, 55028, 51119, 55454, 52818, 52255, 54557, 51838, 52783, 55873, 50908, 51132, 52168, 51275, 51178, 51876, 50865, 51144, 51194, 51512, 51212, 50856, 56926, 54721, 51153, 50841, 50799, 52137, 52250, 51338, 51477, 51153, 50915, 51964, 51486, 51232, 50915, 51099, 51267, 50801, 50859, 52068, 50420, 51869, 52783, 50426, 51280, 55316, 53627, 51338, 51080, 51153, 51295, 51280, 51295, 51144, 51295, 51099, 64286, 50859, 51570, 50812, 52320, 52955, 51416, 56029, 52567, 51137, 50907, 50799, 54307, 52720, 52626, 55597, 51338, 51637, 51232, 50915, 51153, 50915, 51964, 51790, 51099, 61725, 52189, 53932, 51869, 75498, 51280, 55316, 52749, 51338, 52168, 51153, 51267, 51280, 51411, 51099, 51267, 51144, 66778, 50859, 51570, 51757, 54173, 56634, 79519, 53775, 54038, 53807, 60078, 55199, 50982, 54309, 51680, 51099, 50981, 51489, 50943, 51153, 50915, 51964, 51003, 51976, 52871, 51434, 50879, 51869, 51884, 50426, 51607, 50879, 51280, 54412, 55023, 65903, 51669, 51073, 51964, 51417, 51280, 51534, 51429, 51363, 51275, 51233, 51099, 51534, 51570, 52597, 52043, 51364, 51338, 51477, 51280, 51411, 51099, 51025, 51153, 51025, 51489, 65849, 52741, 51782, 51610, 51116, 54309, 52015, 51280, 51477, 77480, 51964, 51391, 51435, 50845, 51119, 59621, 52189, 52734, 52327, 53950, 52327, 53417, 55023, 52605, 52257, 50879, 51153, 52781, 52043, 51013, 51964, 51351, 51429, 50978, 51280, 51477, 51099, 51058, 51489, 52839, 51820, 51416, 51637, 59424, 50446, 50832, 52231, 52283, 52445, 57730, 55038, 51669, 51013, 51429, 50813, 76440, 51099, 54748, 51041, 51907, 51124, 54309, 51680, 51964, 51422, 51099, 51255, 51280, 50932, 51153, 51025, 51489, 51377, 50801, 52189, 51835, 51434, 54851, 51607, 53538, 55023, 53308, 51669, 51013, 51280, 51043, 51275, 51178, 51429, 51203, 51099, 51233, 51570, 51820, 52043, 51294, 51338, 51637, 51153, 51203, 51489, 51255, 51280, 77209, 51255, 59424, 52320, 55023, 51111, 52894, 51080, 51876, 51191, 77061, 51435, 50901, 51119, 50892, 51144, 67294, 52189, 51835, 52327, 54818, 71175, 51119, 50808, 51435, 51582, 67893, 56632, 52043, 50879, 51489, 53018, 51669, 51472, 51181, 51244, 51708, 51775, 51198, 51172, 51275, 51177, 52176, 51480, 51119, 50873, 51435, 62806, 51820, 59424, 50446, 50832, 52231, 52283, 52445, 57730, 55038, 50832, 51041, 51907, 51124, 53053, 51183, 51198, 51381, 51516, 50866, 51099, 51419, 51275, 50987, 51869, 51381, 51429, 79198, 52189, 52450, 51669, 50952, 51516, 50833, 51429, 52938, 55023, 53308, 51669, 55486, 51669, 51238, 57097, 51148, 51876, 51134, 51144, 51134, 51429, 50905, 51275, 50901, 51435, 54042, 52711, 52043, 55855, 52741, 52327, 50924, 78806, 51429, 50941, 51275, 50857, 51782, 51610, 52961, 52257, 51472, 54281, 51183, 52533, 51134, 51232, 51419, 51099, 50915, 51153, 51003, 51489, 61725, 52153, 70829, 67893, 52446, 52807, 50879, 51132, 51183, 51876, 51351, 51119, 50892, 51435, 50901, 77480, 51144, 51419, 50791, 51820, 52257, 59155, 62236, 50832, 52231, 52283, 52445, 50449, 50832, 55038, 71175, 79539, 51119, 51475, 51041, 51907, 66313, 52257, 51364, 54281, 51148, 51099, 51400, 52533, 51267, 51489, 51400, 51232, 51363, 51153, 66778, 52153, 50808, 51544, 55023, 52605, 51607, 55122, 71175, 51181, 51148, 51119, 50987, 51153, 50866, 51275, 50866, 52176, 51108, 51708, 50981, 51198, 51542, 51435, 61098, 52597, 52257, 61468, 52741, 52257, 50884, 52807, 51013, 51153, 50857, 51275, 50813, 51435, 50857, 51578, 50857, 51782, 51610, 51162, 50799, 52257, 51655, 51743, 51293, 51615, 51353, 51711, 51218, 53775, 50813, 51137, 51295, 51153, 51212, 51275, 51178, 51516, 51178, 51198, 50995, 51099, 51542, 51869, 67294, 52153, 53932, 53807, 53111, 51269, 50425, 55199, 53272, 51516, 50862, 51275, 50862, 51153, 53340, 52559, 52187, 51742, 56660, 50857, 51137, 51790, 51198, 51803, 51429, 52168, 51516, 51675, 51869, 51790, 51099, 52015, 51275, 51803, 52404, 51104, 50984, 51180, 53140, 50852, 50984, 50455, 55873, 61688, 58385, 50829, 50799, 51743, 51391, 51656, 51191, 51711, 51351, 57655, 50820, 51137, 51177, 51153, 51212, 51198, 51079, 51119, 51328, 51435, 51212, 51869, 51006, 51099, 79198, 52189, 53932, 51684, 50912, 53978, 50423, 63132, 50886, 52993, 52063, 51869, 50878, 51099, 50827, 51119, 50978, 51435, 50892, 51198, 51008, 51153, 57567, 52227, 51123, 51544, 52765, 51684, 55238, 51743, 51790, 51615, 51790, 52187, 51790, 51838, 51675, 74148, 50820, 51137, 51803, 51869, 51267, 51099, 51312, 51275, 50981, 51198, 51312, 51429, 66560, 56926, 54811, 50801, 52741, 54173, 54617, 58629, 53775, 53007, 53807, 53802, 54625, 55199, 54617, 50841, 50799, 52133, 51477, 52033, 51477, 51338, 52015, 51964, 50981, 51099, 51312, 51280, 51380, 51153, 51312, 51489, 51267, 50801, 52189, 53932, 51434, 58415, 58844, 51607, 50924, 51782, 51610, 54725, 51669, 51073, 53541, 51003, 51881, 50807, 51964, 51417, 51280, 51448, 51099, 51255, 51429, 51194, 51275, 70096, 51269, 51570, 54746, 52043, 51294, 52133, 52069, 52033, 51141, 51338, 51283, 51153, 51203, 51489, 51116, 51099, 51255, 58036, 60205, 51340, 51610, 50865, 51453, 51269, 50799, 51743, 51183, 51338, 52168, 51280, 51419, 51964, 51351, 51119, 51212, 51153, 51177, 51435, 51212, 50801, 52153, 52871, 52327, 52304, 58844, 71175, 51119, 50822, 51441, 51610, 54725, 52257, 50879, 51153, 51467, 61929, 52043, 51013, 51615, 50981, 52033, 51380, 51964, 51351, 51429, 50974, 51280, 51310, 51099, 51074, 51489, 57837, 51820, 51416, 51330, 58036, 51269, 50446, 50832, 52231, 52283, 52445, 50449, 50832, 55038, 51669, 51013, 51881, 51003, 51743, 50943, 51275, 50917, 51099, 50925, 51429, 64834, 51041, 52764, 66947, 51137, 57154, 51269, 50799, 52133, 51295, 52033, 51189, 51338, 51680, 51489, 51003, 51153, 51003, 51280, 51391, 51964, 51486, 51099, 51267, 50801, 52153, 52871, 51434, 53417, 58844, 51607, 53417, 55023, 56632, 51669, 51013, 53541, 50943, 51881, 50807, 51099, 51255, 51280, 51562, 51275, 51116, 51429, 72707, 51269, 51570, 52597, 52043, 51364, 52133, 52069, 52033, 51189, 51338, 51318, 51099, 51100, 51153, 51177, 51489, 51100, 58036, 51269, 52320, 55023, 50795, 51453, 51269, 50799, 51743, 51359, 51132, 51183, 51876, 51191, 78147, 51435, 50873, 51144, 51391, 51153, 58679, 52189 ]

[ 0, 250, 33928, 8, 15352, 30054, 15855, 1619, 2214, 19, 11057, 16882, 6, 4246, 10, 13305, 483, 7513, 30, 326, 5638, 18026, 6, 21979, 9590, 6, 26432, 636, 3938, 22052, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 15229, 1239, 5, 30443, 15, 10, 32076, 9733, 6, 7630, 14805, 10, 1472, 9, 2317, 4780, 8, 25306, 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 ]

[ 54458, 55753, 60849, 51709, 56770, 52188, 59449, 50974, 53274, 51709, 53873, 52188, 57026, 68751, 59800, 50886, 59634, 63341, 59449, 50886, 57026, 67203, 57406, 51961, 61891, 51642, 56737, 52025, 52888, 51961, 55566, 51642, 53686, 52025, 50447, 59449, 50874, 57026, 54185, 61891, 50886, 55566, 66211, 57312, 51097, 60849, 51333, 55845, 51328, 52689, 51097, 54992, 51337, 53274, 51333, 53069, 61891, 50874, 55566, 65370, 55845, 50886, 54992, 53860, 56770, 51097, 58389, 51466, 53873, 50981, 53391, 51466, 50433, 57406, 52397, 52888, 52397, 50453, 57312, 51637, 59173, 52136, 52798, 51121, 52689, 51637, 52945, 52136, 50459, 52837, 50810, 51601, 52798, 65145, 54148, 51116, 50425, 58864, 51749, 53565, 51535, 50426, 58587, 52407, 54911, 52407, 50432, 52798, 62903, 54148, 58638, 59420, 53280, 58389, 51244, 52978, 50821, 53132, 53280, 53391, 51244, 50458, 52837, 50880, 56020, 71291, 55776, 58707, 55776, 50423, 52803, 52598, 50424, 68007, 53866, 55283, 53866, 50425, 54195, 51318, 50427, 58389, 52980, 53391, 52980, 50428, 50696, 50340, 51241, 68093, 50952, 50421, 51971, 50821, 50428, 50906, 51218, 51026, 51218, 50871, 51241, 51743, 51627, 51863, 51749, 51850, 69200, 51760, 50805, 50443, 52280, 66092, 52033, 53142, 51656, 51627, 50448, 50900, 64291, 60015, 50943, 51971, 50936, 50454, 51756, 51111, 50799, 52213, 50878, 50419, 51863, 51878, 51760, 50921, 56363, 51241, 50916, 51734, 50292, 57908, 52280, 51111, 50433, 52387, 62090, 51743, 52263, 51656, 51965, 51760, 50938, 50440, 51050, 51241, 50871, 51241, 50877, 51241, 50445, 51756, 51177, 50459, 51026, 51218, 50871, 51218, 50906, 50983, 51838, 51749, 52036, 51397, 59800, 50874, 51850, 51121, 59634, 50808, 52478, 61891, 50864, 51760, 51101, 55566, 52524, 56737, 50907, 52280, 50866, 53686, 72479, 51085, 51518, 50900, 64291, 51241, 50877, 51518, 51711, 51878, 52225, 51749, 50432, 59449, 50874, 51971, 50925, 57026, 61169, 55845, 50864, 54992, 52781, 51756, 51121, 50445, 60849, 50851, 52213, 50959, 53274, 67447, 50997, 64291, 50943, 51863, 51878, 51838, 51749, 61891, 50874, 51760, 50942, 55566, 62474, 56770, 50864, 52280, 50845, 53873, 50813, 51809, 57406, 51123, 52387, 51006, 52888, 56779, 51050, 65065, 59466, 60015, 51377, 51656, 52519, 51711, 51961, 61891, 50851, 51760, 50937, 55566, 50844, 50428, 55845, 50941, 51756, 50942, 54992, 63776, 51838, 51679, 52036, 54211, 52430, 51422, 52213, 51167, 50443, 50899, 51734, 50294, 51218, 50871, 51056, 50877, 50943, 50452, 52213, 51215, 50799, 52414, 52598, 52225, 51961, 52213, 51111, 50415, 51315, 51377, 51040, 51178, 66180, 65645, 50424, 52213, 51095, 50434, 52036, 53201, 52886, 52062, 51760, 51077, 50435, 51120, 51675, 50871, 51127, 50877, 51127, 50902, 51127, 50445, 51027, 51241, 50454, 50899, 50937, 50461, 51760, 50936, 52591, 51971, 55889, 51214, 53380, 51026, 51241, 50877, 51241, 50973, 51241, 50931, 51241, 53499, 53233, 50427, 51850, 68765, 51850, 51160, 50449, 50973, 60701, 50937, 51850, 66070, 51026, 51518, 50931, 74238, 50968, 51178, 66180, 50973, 51221, 51971, 51274, 55746, 50973, 51178, 72302, 76592, 50428, 51760, 51111, 50442, 51085, 51518, 50916, 51518, 52225, 53866, 51756, 51685, 50443, 50876, 51518, 50906, 51518, 52626, 51592, 55746, 51150, 55001, 51261, 51423, 50439, 51216, 51412, 67746, 60145, 51098, 51233, 50852, 51466, 50459, 74650, 51062, 50967, 51140, 51576, 52478, 64062, 51146, 61291, 50876, 50809, 59179, 53410, 50840, 53143, 50844, 54033, 54692, 51330, 50431, 50877, 50809, 58276, 51150, 51775, 50441, 51339, 78858, 50809, 53410, 50810, 53143, 50808, 54033, 53800, 51330, 50451, 57213, 69784, 51140, 51775, 50461, 51062, 51291, 75977, 53410, 50855, 53143, 50813, 54033, 54845, 51330, 57731, 51150, 51645, 50433, 51461, 51480, 54708, 50808, 52967, 50808, 53143, 53800, 51330, 50442, 51140, 51411, 53410, 50813, 53143, 50813, 54033, 60964, 74650, 51062, 51060, 52148, 51121, 50449, 71702, 51146, 52848, 52178, 66056, 53410, 50813, 53143, 50886, 54033, 57158, 51330, 50453, 50876, 62901, 51121, 52148, 51101, 50459, 64062, 51146, 59342, 52178, 50857, 54389, 51576, 76301, 71914, 50809, 52148, 58304, 51522, 51645, 53143, 50813, 63000, 50820, 55142, 54845, 51330, 50425, 57061, 51339, 50800, 52488, 59890, 51098, 51412, 50435, 50968, 51358, 51430, 51358, 52194, 51452, 50444, 54764, 50880, 52967, 55557, 50912, 50454, 51150, 51806, 50843, 50971, 51809, 54764, 50855, 52967, 50840, 54708, 57516, 51797, 60564, 51060, 51081, 51060, 51098, 51412, 50843, 51319, 50433, 50876, 71914, 59079, 53410, 50813, 54764, 76316, 53800, 51254, 50443, 62942, 51081, 57295, 50861, 61930, 50809, 51461, 51534, 50456, 61097, 51430, 50809, 53410, 50813, 54764, 50840, 52967, 53800, 51142, 52478, 57213, 51146, 50809, 51098, 51337, 50428, 75977, 51062, 51291, 53410, 50857, 54764, 50840, 52967, 56613, 51852, 50437, 51389, 51709, 50447, 51150, 51852, 54708, 51642, 54764, 50892, 52803, 51178, 50843, 52188, 50457, 51098, 51645, 53410, 50886, 54764, 50844, 52967, 62705, 74650, 51062, 50967, 53572, 50873, 51809, 71702, 69784, 53192, 76157, 53410, 50857, 54764, 76316, 57158, 51852, 58060, 51060, 51062, 51060, 53572, 51177, 60718, 50833, 51146, 50812, 53192, 58511, 51461, 51318, 50430, 50876, 50809, 59179, 53572, 62255, 53410, 50813, 54764, 50840, 56045, 56613, 51079, 50440, 50902, 71027, 50809, 53192, 51124, 50449, 50877, 50918, 50999, 50918, 51140, 57516, 51797, 50450, 52194, 51452, 50456, 51140, 57187, 51493, 51775, 53410, 50857, 53143, 50855, 54033, 54845, 50907, 52478, 50843, 76247, 51273, 51797, 54708, 50844, 53143, 50867, 52967, 55702, 51753, 50431, 51461, 51328, 56631, 50855, 54764, 50857, 52876, 54845, 65219, 50843, 63231, 50877, 76916, 51060, 51140, 51645, 53410, 50813, 53143, 50867, 54033, 55064, 52518, 50448, 63199, 51146, 57465, 50877, 50809, 59179, 53410, 50855, 53143, 50857, 54033, 54845, 51806, 50461, 50871, 50809, 58276, 51150, 51480, 57731, 56143, 51339, 50800, 53410, 50855, 53143, 50810, 54033, 54845, 51806, 50433, 62942, 69784, 51793, 51775, 50442, 53410, 50840, 53143, 50813, 54033, 53800, 51330, 50443, 50877, 51413, 51062, 51291, 50452, 51389, 51576, 53788, 51534, 54708, 50808, 53143, 50808, 52967, 54692, 51330, 50424, 51140, 51576, 53410, 50813, 54033, 50855, 53143, 50867, 55235, 51177, 79143, 51121, 51062, 51060, 50431, 63199, 69784, 56476, 61172, 53410, 50840, 53143, 50857, 54033, 50813, 55235, 51101, 50843, 51806, 50435, 50877, 51060, 51062, 51060, 50441, 67639, 69784, 56476, 53103, 51216, 51775, 55235, 62885, 50877, 71914, 57637, 61783, 51339, 50800, 51522, 51645, 63000, 50810, 53143, 50833, 55142, 56613, 51330, 50455, 55235, 51221, 51809, 50906, 51675, 51430, 51358, 51098, 51534, 54764, 50886, 52967, 50857, 53459, 72270, 53410, 50855, 54764, 76316, 55307, 51330, 50436, 51150, 52048, 50442, 50852, 70042, 53410, 50813, 54764, 50880, 52967, 54845, 51852, 50456, 51081, 51060, 50861, 51110, 51098, 51709, 51601, 51062, 59748, 53410, 50813, 54764, 50855, 52967, 53800, 51330, 50425, 58893, 76533, 50428, 50916, 59304, 50836, 51461, 51534, 50437, 53410, 50813, 54764, 76316, 57158, 51330, 62204, 50809, 51430, 52513, 51098, 51576, 50448, 50861, 71027, 59747, 53410, 50813, 54764, 50833, 52967, 56613, 51330, 50458, 50916, 51291, 51062, 51291, 53069, 51150, 51645, 54033, 50808, 53410 ]

[ 0, 250, 2635, 12, 20764, 15855, 30062, 620, 7085, 2125, 11, 272, 538, 6, 7630, 14805, 10, 1472, 9, 4149, 8, 9066, 9733, 6, 25, 114, 31, 10, 822, 19834, 4, 20, 17691, 28430, 6, 9590, 3863, 6, 326, 5638, 18026, 6, 17465, 102, 6, 8, 2342, 4467, 35810, 561, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 19, 5, 46336, 3184, 24826, 198, 5, 40286, 9, 272, 8, 211, 4, 20, 204, 73, 306, 86, 6543, 1639, 10, 5204, 4811, 13, 5, 25451, 4388, 7122, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 50426, 51752, 51145, 52795, 51145, 54246, 55277, 55570, 51445, 52915, 51445, 53942, 51359, 52560, 50835, 79629, 55244, 51151, 51301, 51151, 51301, 53295, 50428, 52820, 55001, 52560, 60741, 52820, 52818, 52560, 59347, 52820, 54248, 52560, 57540, 52820, 52621, 52560, 66424, 52820, 54656, 52560, 60862, 52820, 52875, 52560, 59279, 52820, 54492, 52560, 58145, 52820, 52772, 51752, 51312, 52795, 51312, 52560, 50835, 51093, 51109, 50452, 52820, 55423, 52560, 59842, 52820, 53137, 52560, 59552, 52820, 54603, 52560, 56603, 52820, 50835, 50799, 52202, 51312, 54577, 51312, 52560, 50835, 51357, 51109, 50416, 52820, 56572, 52560, 63266, 52820, 53023, 52560, 58659, 52820, 53868, 52560, 58646, 52820, 52712, 52202, 50987, 54577, 50987, 55570, 51244, 52915, 51244, 53942, 51127, 51357, 50866, 55244, 51047, 51883, 51151, 50432, 52155, 50987, 54019, 50987, 51113, 54014, 52155, 51145, 54019, 51145, 51113, 69600, 60337, 51244, 55465, 51244, 56542, 51127, 70285, 51047, 68967, 51312, 52614, 51312, 52355, 53753, 51284, 51109, 51113, 52919, 50426, 51565, 51312, 52203, 51312, 57184, 51477, 53013, 51477, 54885, 51218, 51182, 51109, 55528, 51115, 51883, 51422, 50438, 51606, 50987, 52307, 50987, 51201, 55040, 51789, 50987, 52882, 50987, 58391, 51058, 54670, 51058, 57538, 50937, 55780, 50866, 51266, 54356, 51596, 51312, 52494, 51312, 53712, 51380, 53157, 51380, 55129, 51056, 52907, 51109, 51107, 51109, 50799, 51789, 51312, 52882, 51312, 58030, 51380, 55455, 51380, 67259, 51056, 55472, 51109, 51299, 51109, 51266, 66038, 51752, 51145, 52795, 51145, 52278, 52121, 53445, 52337, 53060, 52337, 55216, 52250, 52820, 50835, 51301, 51047, 79629, 52776, 51717, 51088, 51717, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52820, 66424, 52820, 54656, 52820, 60862, 52820, 52875, 52820, 59279, 52820, 54492, 52820, 58145, 52820, 52772, 52202, 50987, 54577, 50987, 52820, 50835, 51357, 50866, 51251, 51047, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 51789, 50987, 52882, 50987, 52820, 50835, 51266, 69941, 52820, 54603, 52820, 56603, 52820, 50835, 68449, 50987, 52307, 50987, 52820, 50835, 51201, 50866, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51596, 50987, 52494, 50987, 52820, 50835, 51107, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51752, 51312, 52795, 51312, 52338, 51048, 53064, 51048, 51947, 51048, 52384, 51048, 52820, 50835, 51301, 51109, 51093, 51109, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52202, 50987, 54577, 50987, 52665, 51048, 51996, 51048, 52058, 51048, 51702, 51048, 52820, 50835, 51357, 50866, 51154, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52155, 50987, 54019, 50987, 52820, 50835, 51113, 69905, 52820, 54492, 52820, 58145, 52820, 52772, 52182, 51312, 54650, 51312, 53064, 51048, 51946, 51048, 52384, 51048, 51866, 51048, 52820, 50835, 51088, 51109, 51088, 51109, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 52820, 59552, 52820, 54603, 52820, 56603, 52820, 50835, 72849, 51312, 52795, 51312, 52338, 51048, 53064, 51048, 51947, 51048, 52384, 51048, 52820, 50835, 51301, 51109, 51093, 51109, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 52820, 58659, 52820, 53868, 52820, 58646, 52820, 52712, 51596, 51742, 52494, 51742, 52278, 52121, 53445, 52337, 53060, 52337, 56117, 51048, 52665, 51048, 53175, 51048, 52058, 51048, 55216, 52250, 52820, 50835, 51251, 51109, 51107, 51452, 52776, 51717, 51088, 51717, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 56049, 51048, 56117, 51048, 53266, 51048, 53175, 51048, 52820, 50835, 52065, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52820, 59279, 52820, 54492, 52820, 58145, 52820, 52772, 55308, 51048, 52338, 51048, 53093, 51048, 51947, 51048, 52820, 50835, 51299, 51109, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 51789, 50987, 52882, 50987, 52820, 50835, 51266, 69941, 52820, 54603, 52820, 56603, 52820, 50835, 68449, 50987, 52307, 50987, 56117, 51048, 52665, 51048, 53175, 51048, 52058, 51048, 52820, 50835, 51201, 50866, 51251, 51109, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51596, 50987, 52494, 50987, 52820, 50835, 51107, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51752, 51312, 52795, 51312, 52338, 51048, 53064, 51048, 51947, 51048, 52384, 51048, 52820, 50835, 51301, 51109, 51093, 51109, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52202, 50987, 54577, 50987, 52665, 51048, 51996, 51048, 52058, 51048, 51702, 51048, 52820, 50835, 51357, 50866, 51154, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52155, 50987, 54019, 50987, 52820, 50835, 51113, 69905, 52820, 54492, 52820, 58145, 52820, 52772, 52182, 51312, 54650, 51312, 53064, 51048, 51946, 51048, 52384, 51048, 51866, 51048, 52820, 50835, 51301, 51109, 51088, 51109, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 52820, 59552, 52820, 54603, 52820, 56603, 52820, 50835, 72849, 50987, 52795, 50987, 52338, 51048, 51947, 51048, 52820, 50835, 51093, 50866, 51299, 51109, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51789, 50987, 52882, 50987, 52820, 50835, 51266, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51596, 51742, 52494, 51742, 52278, 51312, 53445, 51445, 53060, 51445, 51946, 51048, 53339, 51048, 53175, 52045, 52058, 52045, 55216, 51359, 52820, 50835, 51088, 51109, 51107, 51452, 52776, 51151, 77681, 50428, 52820, 55001, 52820, 60741, 52820, 52818, 52820, 59347, 52820, 54248, 52820, 57540, 52820, 52621, 52355, 51312, 52196, 51048, 51836, 51048, 52820, 50835, 51113, 51109, 50440, 52820, 54656, 52820, 60862, 52820, 52875, 52820, 59279, 52820, 54492, 52820, 58145, 52820, 52772, 52824, 51293, 53339, 51036, 52601, 51036, 52820, 50835, 51357, 51151, 50452, 52820, 55423, 52820, 59842, 52820, 53137, 51565, 50987, 52203, 50987, 52820, 50835, 51182, 69941, 52820, 54603, 52820, 56603, 52820, 50835, 68967, 50987, 52614, 50987, 52820, 50835, 51284, 50866, 50416, 52820, 56572, 52820, 63266, 52820, 53023, 51606, 50987, 52307, 50987, 52820, 50835, 51201, 74027, 52820, 53868, 52820, 58646, 52820, 52712, 51789, 51742, 52882, 51742, 55444, 51244, 55826, 51244, 56787, 51127, 55780, 51047, 51266, 51452, 51301, 51151, 50450, 52355, 51145, 54536, 51380, 54668, 51380, 52196, 51036, 51836, 50918, 53093, 51036, 51947, 51036, 56435, 51056, 53215, 51109, 51113, 51047, 50456, 51789, 50987, 52882, 50987, 51266, 50866, 66791, 50987, 52203, 50987, 58391, 51380, 54670, 51380, 57538, 51056, 51182, 50866, 55780, 51109, 50420, 51789, 50987, 52882, 50987, 51266, 54278, 51596, 51742, 52494, 51742, 52355, 51145, 53712, 51244, 53013, 51244, 53994, 51127, 52907, 51047, 51251, 51047, 51113, 51047, 51107, 51452, 50450, 52714, 51145, 57184, 51244, 54536, 51244, 51996, 50918, 51702, 50918, 54885, 51127, 55528, 51047, 51883, 51047, 79757, 50456, 51789, 50987, 52882, 50987, 51266, 50866, 68449, 50987, 52307, 50987, 51201, 55085, 52155, 50987, 54019, 50987, 51113, 54278, 50623, 51752, 51312, 52795, 51312, 54246, 51293, 53445, 51445, 52915, 51445, 53064, 51036, 52384, 51036, 55216, 51359, 52820, 50835, 51093, 51109, 52776 ]

[ 0, 713, 765, 5175, 37903, 11, 163, 428, 538, 1575, 10, 38668, 2236, 981, 5, 33301, 6, 2800, 30, 21072, 6, 38668, 9590, 6, 228, 438, 4781, 2088, 6757, 6, 8, 5627, 16776, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 1372, 8, 33558, 6711, 6, 442, 24, 10686, 13, 2365, 50, 3618, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 52383, 52423, 51239, 53127, 52432, 51995, 50805, 59796, 50805, 52383, 50808, 52595, 57649, 52437, 52595, 50808, 53207, 52423, 53889, 52844, 51995, 50805, 59796, 50805, 53207, 50808, 53776, 57649, 52565, 53776, 52423, 51239, 53127, 52210, 51995, 50805, 59796, 50805, 53776, 50808, 56526, 52396, 53776, 54312, 56340, 53889, 51187, 53173, 51995, 50805, 59796, 50805, 53776, 51589, 53127, 50818, 51621, 50820, 50799, 53776, 57064, 51239, 53127, 52432, 51995, 50805, 59796, 50805, 53776, 66048, 52437, 53776, 50364, 51015, 53889, 52844, 51995, 50805, 59796, 50805, 53776, 52462, 56526, 50818, 51658, 51239, 53127, 52210, 51995, 50805, 59796, 50805, 56526, 52396, 52234, 51152, 53889, 51187, 53127, 52349, 52687, 50805, 60151, 52472, 53127, 50818, 50799, 53741, 52423, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 53207, 50808, 53741, 57649, 52437, 52595, 50808, 53207, 52423, 53889, 52844, 52660, 50805, 61166, 50805, 52383, 50808, 52595, 57649, 52565, 52383, 52423, 51239, 53239, 52660, 50805, 61166, 50805, 52383, 50808, 56526, 52396, 52383, 54312, 56340, 53889, 51187, 53173, 52660, 50805, 61166, 50805, 52383, 50874, 56526, 50818, 71861, 57064, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 52383, 51123, 56526, 52437, 52383, 50364, 51015, 53889, 52793, 52209, 52660, 50805, 61166, 50805, 52383, 52462, 56526, 50818, 51658, 51239, 53127, 52210, 52660, 50805, 61166, 50805, 56526, 52396, 52234, 51152, 53889, 51187, 53173, 51758, 50805, 58634, 52472, 53127, 50818, 71861, 50808, 60808, 53669, 51239, 53127, 54925, 60808, 64301, 60808, 56166, 60808, 60461, 60808, 61132, 60808, 53203, 51995, 50805, 59796, 50805, 52383, 50808, 52595, 50808, 60808, 51987, 58158, 60808, 56856, 60808, 54104, 60808, 58830, 60808, 56982, 60808, 52762, 52595, 50808, 53207, 50808, 60808, 53669, 53889, 55882, 60808, 64015, 60808, 54956, 60808, 57531, 60808, 59278, 60808, 52953, 51995, 50805, 59796, 50805, 53207, 50808, 53776, 50808, 60808, 51987, 57201, 60808, 56516, 60808, 54288, 60808, 59370, 60808, 57405, 60808, 52766, 53776, 50808, 60808, 53669, 51239, 53127, 56484, 60808, 63442, 60808, 55262, 60808, 58900, 60808, 58616, 60808, 53162, 51995, 50805, 59796, 50805, 53776, 50808, 60808, 51539, 52539, 58500, 60808, 56892, 60808, 54368, 60808, 60044, 60808, 56918, 60808, 52802, 53776, 50854, 60808, 53669, 56340, 53889, 51187, 57150, 60808, 64314, 60808, 55097, 60808, 57690, 60808, 58677, 60808, 53017, 51995, 50805, 59796, 50805, 53776, 50822, 60808, 51539, 53127, 57430, 60808, 57059, 60808, 54794, 60808, 51539, 58077, 60808, 56172, 60808, 50829, 50799, 53776, 50912, 60808, 53669, 51239, 53127, 54925, 60808, 64301, 60808, 56572, 60808, 62307, 60808, 63266, 60808, 53023, 51995, 50805, 59796, 50805, 53776, 51123, 60808, 52499, 58158, 60808, 58659, 60808, 53109, 60808, 59768, 60808, 58990, 60808, 52641, 53776, 51550, 60808, 53617, 53889, 55882, 60808, 66518, 60808, 55028, 60808, 58027, 60808, 58734, 60808, 52767, 51995, 50805, 59796, 50805, 53776, 52462, 60808, 51916, 52539, 57201, 60808, 58662, 60808, 54483, 60808, 59131, 60808, 57667, 60808, 53018, 60808, 55170, 51239, 53127, 56484, 60808, 73052, 60808, 56432, 60808, 61118, 60808, 65672, 60808, 53594, 51995, 50805, 59796, 50805, 60808, 52465, 52539, 58500, 60808, 60402, 60808, 55721, 60808, 63612, 60808, 57855, 60808, 53166, 60808, 55259, 56340, 53889, 51187, 53127, 56086, 60808, 50908, 50452, 60808, 61362, 60808, 67827, 60808, 64360, 60808, 54059, 52687, 50805, 60151, 50805, 60808, 58820, 53127, 57430, 60808, 67076, 60808, 56232, 60808, 63940, 60808, 61969, 60808, 50982, 50799, 53741, 50808, 60808, 60600, 51239, 53127, 54925, 60808, 50982, 50416, 60808, 77298, 60808, 51004, 50418, 60808, 77940, 60808, 54303, 52660, 50805, 61166, 50805, 53207, 50808, 53741, 50808, 60808, 55712, 58158, 60808, 73435, 60808, 58574, 60808, 51129, 50424, 60808, 72375, 60808, 54953, 52595, 50808, 53207, 50808, 60808, 71073, 53889, 55882, 60808, 51129, 50428, 60808, 51258, 50429, 60808, 51258, 50430, 60808, 73501, 60808, 57617, 52660, 50805, 61166, 50805, 52383, 50808, 52595, 50808, 60808, 58334, 57201, 60808, 51258, 50434, 60808, 78592, 60808, 51306, 50436, 60808, 51306, 50437, 60808, 58930, 52383, 50808, 60808, 77339, 51239, 57014, 60808, 51693, 50440, 60808, 51693, 50441, 60808, 51693, 50442, 60808, 51693, 50443, 60808, 76027, 52660, 50805, 61166, 50805, 52383, 50808, 60808, 65160, 52539, 58500, 60808, 52445, 50446, 60808, 52445, 50447, 60808, 52445, 50448, 60808, 52445, 50449, 60808, 52445, 50450, 52383, 50854, 60808, 50359, 50985, 56340, 53889, 51187, 57150, 60808, 52611, 50452, 60808, 52611, 50453, 60808, 52611, 50454, 60808, 52611, 50455, 60808, 52611, 50456, 52660, 50805, 61166, 50805, 52383, 50874, 60808, 73678, 52539, 57430, 60808, 52231, 50458, 60808, 52231, 50459, 60808, 52231, 50460, 60808, 52231, 50461, 60808, 52231, 71861, 57064, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 52383, 51123, 56526, 52437, 52383, 50364, 51015, 53889, 52793, 52209, 52660, 50805, 61166, 50805, 52383, 52462, 56526, 50818, 51658, 51239, 53127, 52210, 52660, 50805, 61166, 50805, 56526, 52396, 52234, 51152, 53889, 51187, 53173, 51758, 50805, 58634, 52472, 53127, 50818, 71861, 50808, 53391, 51346, 53391, 51112, 53686, 51775, 53686, 51775, 53552, 53127, 52432, 51995, 50805, 59796, 50805, 52383, 50808, 52595, 57649, 52437, 52595, 50808, 53207, 50808, 53391, 51346, 53391, 51346, 53686, 51775, 53686, 51775, 52234, 50969, 52844, 51995, 50805, 59796, 50805, 53207, 50808, 53776, 57649, 52565, 53776, 50808, 53391, 50805, 53391, 50795, 53686, 50838, 53686, 50838, 53552, 53127, 52210, 51995, 50805, 59796, 50805, 53776, 50808, 56526, 52396, 53776, 54312, 56340, 53889, 51187, 53173, 51995, 50805, 59796, 50805, 53776, 50822, 53391, 51346, 53391, 51346, 53686, 51775, 53686, 51775, 65616, 50818, 51621, 50820, 50799, 53776, 57064, 51239, 53127, 52432, 51995, 50805, 59796, 50805, 53776, 51123, 53391, 51346, 53391, 51346, 53686, 51484, 53686, 51775, 50920, 52437, 53776, 50364, 51015, 53889, 52844, 51995, 50805, 59796, 50805, 53776, 52462, 53391, 50910, 53391, 50910, 53686, 50933, 53686, 51008, 56526, 52565, 53391, 51346, 53391, 51346, 53686, 51775, 53686, 51775, 53552, 53127, 52210, 51995, 50805, 59796, 50805, 56526, 52396, 52689, 51157, 53873, 51199, 52689, 50807, 53873, 50932, 52234, 51152, 53889, 51187, 53127, 52349, 52687, 50805, 60151, 52472, 53127, 50818, 50799, 53741, 50808, 52945, 51112, 52945, 51112, 53274, 51775, 53274, 51775, 53552, 53127, 52432, 52660, 50805, 61166, 50805, 53207, 50808, 53741, 57649, 52437, 52595, 50808, 53207, 50808, 52945, 51112, 52945, 51112, 53274, 51775, 53274, 51775, 52234, 50969, 52844, 52660, 50805, 61166, 50805, 52383, 50808, 52595, 57649, 52565, 52383, 50808, 53274, 51058, 52945, 50795, 52945, 50795, 53274, 50838, 53552, 53239, 52660, 50805, 61166, 50805, 52383, 50808, 56526, 52396, 52383, 54312, 56340, 53889, 51187, 53173, 52660, 50805, 61166, 50805, 52383, 50874, 52945, 51346, 52945, 51112, 53274, 51775, 53274, 51775, 56526, 50818, 71861, 57064, 51239, 53127, 52432, 52660, 50805, 61166, 50805, 52383, 51123, 52945, 51346, 52945, 51112, 53274, 51484, 53274, 51484, 56526, 52437, 52383, 50364, 51015, 53889, 52793, 52209, 52660, 50805, 61166 ]

[ 0, 250, 15352, 30054, 8, 20425, 5175, 19834, 4246, 10, 12280, 3275, 1725, 3109, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 6, 7630, 14805, 10, 1472, 9, 15073, 8, 9066, 814, 149, 63, 33215, 16739, 9, 230, 6, 272, 6, 230, 119, 1176, 406, 6, 272, 119, 1176, 406, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 50416, 50624, 50417, 50624, 52292, 50874, 50418, 50624, 50419, 50624, 50420, 50624, 52049, 65370, 50624, 50423, 50624, 52242, 74570, 50624, 50425, 50624, 50426, 50624, 52443, 58519, 52049, 54221, 52242, 56149, 52292, 54123, 51975, 68861, 53571, 53103, 53029, 50810, 52342, 71715, 53249, 52843, 52416, 50886, 53296, 77635, 52044, 58759, 53029, 50810, 52416, 54900, 53249, 50810, 52342, 70395, 53571, 50810, 50799, 52205, 50874, 52550, 63118, 51975, 54448, 52044, 50874, 55411, 58861, 52416, 53881, 52342, 58519, 52044, 54221, 52416, 56149, 51975, 54123, 52205, 68861, 52550, 53103, 52573, 50810, 53382, 71715, 52740, 52843, 53640, 50886, 52292, 77635, 52662, 58759, 52573, 50810, 53640, 54900, 52740, 50810, 53382, 70395, 52550, 50810, 50799, 52662, 50874, 52292, 63118, 54066, 54448, 53382, 50874, 52740, 58861, 53640, 53881, 52662, 50874, 52292, 59910, 53382, 54221, 53640, 50874, 52049, 58952, 54066, 54123, 53382, 50874, 52242, 62532, 53640, 54653, 52662, 50874, 52550, 59956, 52205, 54385, 52342, 50874, 52573, 60489, 52662, 54900, 52205, 50874, 52740, 59097, 53640, 50874, 50799, 52662, 50874, 52292, 63118, 52205, 54448, 52342, 50874, 53249, 58861, 52416, 53881, 52044, 50874, 53895, 59910, 52342, 54221, 52416, 50874, 52550, 58952, 52205, 54123, 52342, 50874, 52573, 62532, 52416, 54653, 52044, 50874, 52740, 59956, 51975, 54385, 52797, 50874, 52292, 51134, 50453, 52044, 54900, 51975, 58223, 52416, 50874, 50799, 52044, 80253, 53029, 53066, 53249, 50810, 52049, 69596, 53895, 52654, 52342, 50886, 52550, 75322, 52416, 57860, 53249, 50810, 52342, 55544, 53895, 54112, 53029, 50810, 52205, 54123, 52416, 50874, 52550, 62532, 52044, 54653, 51975, 50874, 55342, 59956, 52797, 54385, 52242, 50844, 53571, 60489, 51975, 54194, 52797, 50844, 53029, 59097, 52044, 50844, 50799, 51975, 50844, 53249, 63118, 52416, 54351, 52044, 50844, 53895, 58861, 52342, 53450, 52416, 50844, 52550, 59910, 52205, 53513, 52342, 50844, 53249, 58952, 52662, 53614, 52205, 50844, 55342, 62532, 52416, 62801, 52342, 54305, 52205, 50844, 53571, 59956, 53382, 54004, 52416, 50834, 53029, 71474, 52342, 63075, 52416, 59631, 52044, 50844, 59112, 59097, 51975, 50844, 50799, 51975, 67075, 55411, 54611, 55061, 55797, 55342, 53906, 53571, 57544, 55061, 53911, 55342, 56529, 55411, 54181, 53029, 69692, 51975, 53103, 52044, 50810, 52550, 59956, 52416, 52843, 52342, 50810, 53895, 60489, 52044, 52863, 52416, 50810, 52550, 59097, 51975, 50810, 50799, 52573, 50854, 52797, 63118, 53029, 54611, 53249, 55797, 53895, 53906, 52550, 57544, 53249, 53911, 53895, 56529, 53029, 54181, 52573, 69692, 52044, 53103, 52416, 50810, 52049, 59956, 52342, 52843, 52205, 50810, 52292, 60489, 52416, 52863, 52342, 50810, 52049, 59097, 52044, 50810, 50799, 52550, 50854, 52416, 63118, 51975, 54611, 52443, 55797, 52242, 53906, 52049, 57544, 52443, 53911, 52242, 56529, 51975, 54181, 52443, 69692, 52205, 53103, 52342, 71413, 59956, 52416, 52843, 52044, 50810, 52443, 60489, 52342, 52863, 52416, 50810, 52049, 59097, 52205, 50810, 50799, 52242, 50810, 52342, 63118, 52044, 53066, 51975, 54347, 52443, 52654, 52242, 55730, 51975, 52658, 52443, 54112, 52044, 52729, 51975, 62532, 52662, 54746, 52205, 50854, 52443, 59956, 52342, 54276, 52416, 50854, 51975, 60489, 52205, 54424, 53731, 50854, 52242, 59097, 52662, 50854, 50799, 52443, 50810, 52205, 71423, 52895, 53066, 52044, 50810, 53731, 63867, 51975, 52654, 52443, 50810, 52205, 64627, 52044, 52658, 51975, 50810, 52662, 61647, 52895, 52729, 52044, 50810, 53640, 69692, 51975, 53103, 52443, 68310, 65586, 52242, 52843, 52049, 50810, 52416, 70842, 52443, 52863, 52242, 50810, 53731, 62533, 51975, 50810, 50799, 52443, 50810, 52205, 71423, 52242, 53066, 52049, 50810, 52797, 63867, 52292, 52654, 52740, 50810, 53634, 64627, 52049, 52658, 52292, 68310, 61647, 52242, 52729, 52049, 50810, 52416, 69692, 52292, 53103, 52740, 50810, 52342, 65586, 52573, 52843, 53882, 50810, 52205, 51134, 50453, 52740, 52863, 52573, 54678, 52292, 50810, 50799, 52740, 63118, 52242, 54351, 52797, 50844, 53249, 58861, 53634, 53450, 52049, 50813, 52044, 50844, 50428, 52292, 55863, 52797, 50844, 52049, 53387, 53634, 55167, 52242, 50844, 52242, 52729, 52292, 50810, 52662, 58709, 52740, 50810, 52205, 53783, 52573, 50810, 52342, 55876, 52550, 50810, 52662, 54004, 53895, 50810, 52205, 58305, 52573, 50810, 52342, 54194, 53882, 50810, 52416, 56569, 52740, 50810, 52205, 50844, 50799, 52573, 50810, 52342, 59991, 52292, 50810, 54066, 54351, 52740, 50810, 57557, 55266, 52049, 50810, 57082, 53450, 52292, 50810, 54066, 57250, 52242, 50810, 52662, 53513, 52049, 50810, 53640, 55167, 52443, 50810, 52205, 53614, 53634, 50844, 52242, 62532, 53640, 53783, 52662, 50844, 52573, 59956, 52205, 54004, 52342, 50834, 52242, 71474, 52205, 63075, 52342, 59631, 52416, 50844, 53249, 59097, 52044, 50844, 50799, 52044, 50844, 53296, 63118, 54066, 54351, 53382, 50844, 55061, 58861, 53640, 53450, 52662, 57250, 53382, 53513, 53640, 55167, 54066, 53614, 53382, 51742, 50441, 52242, 53103, 52049, 54803, 52292, 52843, 52740, 56366, 52049, 52863, 53322, 54678, 52242, 50810, 50799, 52049, 51452, 50417, 52662, 54351, 53640, 55266, 53382, 53450, 54066, 57250, 53640, 53513, 53382, 55167, 52662, 53614, 53640, 51742, 50441, 52573, 53103, 52740, 54803, 52292, 52843, 52049, 56366, 52740, 52863, 52292, 54678, 52573, 50810, 50799, 52740, 51452, 50417, 53382, 54351, 53640, 55266, 52662, 53450, 52205, 57250, 53640, 53513, 52662, 55167, 53382, 53614, 53640, 51742, 50441, 52049, 53103, 52292, 54803, 52740, 52843, 52573, 56366, 52292, 52863, 52740, 54678, 52049, 50810, 50799, 52292, 51452, 50417, 52205, 54351, 52662, 55266, 53640, 53450, 53382, 57250, 52662, 53513, 53640, 55167, 52205, 53614, 52662, 51742, 50441, 52550, 53103, 52573, 54803, 53334, 52843, 52292, 56366, 52573, 52863, 53334, 54678, 52550, 50810, 50799, 52573, 63118, 52342, 54351, 52205, 50844, 53334, 58861, 52662, 53450, 53640, 50844, 52573, 59910, 52205, 53513, 52662, 50844, 52550, 58952, 52342, 53614, 52205, 50844, 53296, 62532, 52662, 53783, 53640, 50844, 52049, 59956, 53382, 54004, 54066, 50844, 52292, 60489, 53640, 54194, 53382, 50844, 53334, 59097, 52662, 50844, 50799, 53640, 50844, 52573, 63118, 53382, 54351, 54066, 50844, 52443, 58861, 57082, 53450, 50624, 58683, 50844, 52242, 59910, 54066, 68313, 50624, 50432, 57082, 50844, 52049, 58952, 53382, 61842, 50624, 50438, 52242, 50810, 58683, 69151, 53029, 60696, 50624, 50444, 53249, 50810, 53382, 60785, 53296, 62924, 50624, 50450, 52662, 50834, 52550, 60142, 53640, 63075, 52662, 50955, 50453, 50624, 53249, 52863, 53296, 50810, 52205, 63316, 50624, 50459, 53029, 50810, 52342, 50844, 50799, 52342, 50844, 53249, 50845, 50416, 50624, 50417, 52895, 54351, 52044, 50844, 53571, 73551, 50624, 50423, 51975, 53450, 50624, 52443, 50844, 53029, 75241, 50623, 50428, 50623, 50429, 50623, 52044, 73418, 50623, 50431, 50623, 50432, 50623, 51975, 50844, 53249, 69116, 50623, 50434, 50623, 50435, 50623, 52895, 68522, 50623, 50437, 50623, 50438, 50623, 53296, 68310, 62090, 50622, 50440, 50622, 50441, 50622, 53029, 50810, 52416, 50844, 50442, 50622, 50443, 50622, 50444, 50622, 53249, 50810, 52342, 71696, 50622, 50446, 50622, 50447, 50622, 53296, 71413, 71765, 50622, 50449, 50622 ]

[ 0, 250, 15855, 8, 5175, 24904, 6, 42, 15352, 30054, 2214, 11, 12608, 3694, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 3722, 223, 34693, 4, 25837, 2987, 30, 10, 5540, 13305, 6, 24, 11498, 10, 182, 1769, 20889, 11, 155, 73, 306, 86, 6543, 4, 20, 15229, 16, 17407, 30, 10, 16331, 33215, 16739, 9, 163, 119, 6, 230, 10431, 119, 406, 428, 245, 73, 387, 6, 163, 119, 6, 8, 274, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50643, 50438, 50640, 51405, 51108, 51034, 51062, 51051, 51176, 52528, 50418, 51405, 71437, 51399, 59386, 50643, 51062, 51051, 50956, 52147, 50430, 51081, 68630, 51147, 58946, 77049, 50442, 76521, 50446, 51001, 51051, 51034, 50642, 51028, 51051, 50997, 52916, 50418, 65555, 50422, 50906, 59386, 50643, 50965, 51051, 50956, 52147, 50430, 65313, 50434, 50871, 58946, 74800, 50442, 63006, 50446, 65313, 51034, 50642, 50965, 51051, 50900, 52528, 50418, 65313, 50422, 50965, 59386, 50643, 65997, 50956, 52147, 50430, 50965, 62743, 50877, 59983, 71650, 50442, 50877, 65845, 63156, 51034, 50642, 66737, 51026, 52528, 50418, 63156, 50422, 50973, 58382, 50643, 66374, 50956, 52147, 50430, 50973, 62743, 50876, 56180, 51028, 51051, 50442, 65555, 50446, 51028, 51051, 51034, 50642, 65555, 51176, 52528, 50418, 51001, 64987, 51028, 55656, 50643, 64304, 50956, 52147, 50430, 51028, 62727, 51001, 56180, 50931, 70430, 50951, 62565, 51147, 50933, 51034, 50642, 51081, 50933, 51360, 51333, 50418, 51339, 64987, 51405, 55656, 50643, 51399, 50933, 51040, 52147, 50871, 52147, 50430, 51062, 62727, 51081, 56180, 51147, 51051, 50442, 77049, 50446, 76521, 51034, 50642, 51001, 51051, 51197, 51108, 50418, 51081, 71437, 51147, 59386, 50643, 77049, 51040, 51703, 50956, 51703, 50861, 51703, 50430, 50931, 68630, 51001, 58946, 51028, 51051, 50442, 65555, 50446, 73699, 51034, 50642, 50965, 51051, 51176, 51108, 50418, 73699, 68225, 59386, 50643, 51028, 51051, 50900, 51703, 50956, 51703, 50965, 51703, 50430, 51001, 62727, 50931, 58450, 76598, 50442, 51147, 65845, 51081, 50878, 51034, 50640, 75835, 51176, 51662, 50418, 51405, 71876, 51399, 57629, 50643, 51062, 50942, 50956, 51314, 50430, 51081, 66855, 51147, 55467, 50951, 66479, 62496, 50446, 70647, 51034, 50642, 72814, 50997, 51662, 50418, 59725, 50422, 50906, 55440, 50643, 74803, 50956, 51314, 50430, 58882, 50434, 50871, 55467, 50956, 66479, 57956, 50446, 58882, 51034, 50642, 74803, 50900, 51662, 50418, 58882, 50422, 50965, 55440, 50643, 57634, 50956, 51447, 50430, 50965, 66855, 50877, 58866, 67944, 50442, 50877, 57225, 60074, 51034, 50642, 50973, 50952, 51026, 51662, 50418, 50906, 56908, 50973, 56382, 50643, 66634, 50956, 51314, 50430, 50973, 64160, 50876, 55467, 51028, 66479, 59725, 50446, 72814, 51034, 50642, 59725, 51176, 51662, 50418, 51001, 63980, 51028, 55440, 50643, 59725, 50956, 51447, 50430, 51028, 61172, 51001, 55467, 62496, 50442, 50951, 62928, 51147, 50878, 51034, 50642, 51081, 50878, 51360, 51097, 50418, 51339, 71876, 51405, 57629, 50643, 51399, 50878, 51040, 51447, 50871, 51447, 50430, 51062, 61172, 51081, 55467, 51147, 66479, 50951, 62928, 62496, 51034, 50642, 70647, 51197, 50995, 50418, 51081, 63980, 51147, 55440, 50643, 67809, 51040, 51447, 50956, 51447, 50861, 51447, 50430, 51147, 61172, 51081, 55467, 51062, 66479, 51399, 62928, 51405, 50878, 51034, 50642, 51147, 50878, 51176, 50981, 50418, 51081, 63980, 51062, 55440, 50643, 51399, 50878, 50900, 51314, 50956, 51314, 50965, 51314, 50430, 51405, 61172, 51339, 55467, 51487, 66479, 52128, 62928, 52052, 50878, 51034, 50640, 52357, 50878, 51176, 51662, 50418, 53919, 62270, 53684, 57499, 50643, 52357, 50925, 50956, 51447, 50430, 52052, 66855, 52128, 58927, 51487, 50942, 50442, 51339, 62928, 51405, 50878, 51034, 50642, 51399, 50878, 50997, 51662, 50418, 51062, 63980, 51081, 55440, 50643, 51147, 50878, 50956, 51447, 50430, 50951, 61172, 50931, 55467, 51001, 66479, 62496, 50446, 67809, 51034, 50642, 51147, 50878, 50900, 51662, 50418, 50951, 63980, 51147, 55440, 50643, 68717, 50956, 51314, 50430, 51147, 66855, 50999, 58927, 51081, 50925, 50442, 50999, 62150, 69955, 51034, 50642, 51220, 50830, 51026, 51692, 50418, 51081, 56908, 51220, 56382, 50643, 51062, 50897, 50956, 51314, 50430, 51220, 64160, 51062, 58927, 51399, 66479, 51062, 62928, 51399, 50878, 51034, 50642, 75835, 51176, 51677, 50418, 51405, 63980, 51399, 55440, 50643, 75835, 50956, 51080, 50430, 51399, 61172, 51405, 55467, 51339, 66479, 51487, 62928, 52128, 50878, 51034, 50640, 52052, 50878, 51360, 51108, 50418, 52956, 63980, 53919, 55440, 50643, 53684, 50878, 51040, 51490, 50871, 51490, 50430, 52357, 63125, 52052, 59577, 52128, 77376, 51487, 65845, 51339, 50959, 51034, 50642, 51405, 50959, 51197, 51108, 50418, 52052, 65023, 52128, 57630, 50643, 51487, 51008, 51040, 51490, 50956, 51490, 50861, 51490, 50430, 51339, 62743, 51405, 59983, 51399, 70430, 51062, 62565, 51081, 50933, 51034, 50642, 51147, 51051, 51176, 51333, 50418, 51062, 71437, 51081, 59386, 50643, 51147, 51051, 50900, 52212, 50956, 52212, 50965, 52212, 50430, 50951, 51142, 50434, 50931, 64147, 51001, 51142, 50442, 51028, 51142, 76495, 51210, 51034, 50640, 64041, 51503, 52431, 50418, 51001, 77862, 51028, 64586, 50642, 64041, 51176, 52212, 50430, 50906, 72215, 50965, 69658, 50989, 51210, 50442, 65471, 50446, 50956, 51210, 51034, 50639, 65471, 51360, 52431, 50418, 50965, 77862, 51028, 64586, 50640, 51040, 52147, 50968, 51447, 50430, 50965, 72215, 51028, 69658, 50973, 51210, 50442, 50965, 70270, 50973, 51210, 51034, 50643, 50906, 51210, 51966, 52431, 50418, 50968, 77862, 51001, 64586, 51028, 51210, 51378, 52147, 50430, 50973, 72215, 50906, 69658, 50965, 51210, 50442, 50989, 70270, 65471, 51034, 50640, 50956, 51210, 51324, 52431, 50418, 50989, 77862, 50973, 64586, 50641, 51086, 52147, 51001, 51447, 50430, 50989, 72215, 50973, 51210, 63808, 51210, 50442, 50989, 70270, 50906, 51210, 51034, 50643, 50965, 51210, 51841, 52431, 50418, 51001, 77862, 51028, 64586, 50973, 51210, 51315, 52212, 50430, 50906, 72215, 50965, 69658, 50989, 51210, 50442, 65471, 50446, 50956, 51210, 51034, 50639, 51040, 51210, 51234, 52431, 50418, 65471, 50422, 50906, 64586, 50641, 50997, 52147, 51028, 51447, 50430, 65471, 50434, 50906, 69658, 50965, 51210, 50442, 65471, 50446, 50965, 51210, 51034, 50643, 63207, 52046, 52431, 50418, 51028, 77862, 50973, 51210, 60564, 51210, 51197, 52147, 50430, 50965, 72215, 63207, 59419, 51210, 50442, 50956, 70270, 51040, 51210, 51034, 50638, 51086, 51210, 51503, 52431, 50418, 50956, 77862, 50965, 64586, 50640, 51176, 52147, 50973, 51447, 79471, 72215, 50965, 69658, 50989, 51142, 50442, 50956, 70270, 50989, 51210, 51034, 50640, 65471, 51360, 52431, 50418, 50965, 77862, 51028, 64586, 50641, 51040, 52147, 50968, 51447, 50430, 50965, 72215, 51028, 69658, 50973, 51142, 50442, 50965, 70270, 50973, 51210, 51034, 50638, 50968, 52026, 50295, 52528, 50418, 50906, 77862, 63207, 50426, 51001, 75865, 56515, 50430, 50906, 72215, 63207, 50438, 50951, 51108, 50442, 51028, 70270, 50906, 51210, 51034, 51147, 51051, 51176, 52528, 50418, 50643, 51220, 77862, 51081, 64586, 51147, 51210, 50430, 51114, 72215, 50968, 69658, 51001, 51210, 50442, 51028, 70270, 50906, 51210, 51034, 50973, 51210, 51324, 52528, 50418, 51001, 77862, 51028, 64586, 50973, 51210, 51378, 52212, 50430, 50906, 72215, 50965, 69658, 50989, 51210, 50442, 65471, 50446, 50956, 51210, 51034, 50640, 65471, 51360, 52528, 50418, 63207, 50422, 50906, 64586, 50638, 51026, 78172, 51447, 50430, 50906, 72215, 63207, 50438, 50641, 50906, 51210, 51378, 52011, 50442, 50989, 70270, 65471, 51034, 50643, 50956, 51210, 51324, 52528, 50418, 51001, 77862, 51028, 64586, 50973, 51210, 51378, 52212, 50430, 50906, 72215, 50965 ]

[ 0, 250, 765, 6, 20425, 5175, 37903, 11, 381, 3694, 6, 4246, 10, 15352, 30054, 3222, 5785, 9, 40286, 272, 6, 163, 6, 8, 381, 6, 278, 7, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 3344, 9, 11098, 8, 15073, 19, 10, 11602, 9, 11299, 27456, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 58060, 51804, 50292, 62643, 50902, 54818, 50876, 54937, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 58629, 50916, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50931, 51804, 50289, 55276, 50931, 55489, 50877, 51804, 50297, 61443, 50931, 58629, 50877, 55433, 50968, 51804, 50297, 50860, 52591, 50876, 51804, 50292, 54684, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50876, 51804, 50289, 55276, 50876, 55489, 50973, 51804, 50297, 61443, 50877, 55433, 50861, 51804, 50297, 50860, 52591, 50876, 51804, 50292, 62643, 50902, 54818, 50876, 54937, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 58629, 50916, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50931, 51804, 50289, 55276, 50931, 55489, 50877, 51804, 50297, 61443, 50931, 58629, 50877, 55433, 50968, 51804, 50297, 50860, 52591, 50876, 51804, 50292, 54684, 50861, 51804, 50292, 55276, 50973, 55489, 50973, 51804, 50296, 61443, 50968, 55433, 50877, 51804, 50296, 50860, 52177, 50877, 55777, 50877, 51804, 50289, 54675, 50877, 54937, 50876, 51804, 50289, 55276, 50876, 55489, 50973, 51804, 50297, 61443, 50876, 55433, 50902, 51804, 50297, 50860, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]