Datasets:
benjamintli
/
bart_midi_dataset

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
1.02k
1.02k
attention_mask
sequencelengths
1.02k
1.02k
labels
sequencelengths
1.02k
1.02k
[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 42, 15229, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 2635, 12, 20764, 34879, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 272, 6, 83, 6, 272, 6, 230, 6, 8, 211, 3639, 7, 63, 43580, 3693, 2574, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 50, 177, 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 ]
[ 54458, 50415, 53029, 51795, 52573, 51795, 52797, 51795, 52205, 51795, 50454, 55061, 51029, 52573, 51029, 52242, 51795, 52342, 51795, 59412, 55061, 51029, 52573, 62001, 55342, 51029, 53029, 51407, 52049, 51795, 51975, 51795, 52416, 51795, 51809, 55411, 51029, 50425, 53249, 51066, 50435, 53296, 51066, 52049, 51029, 52443, 51029, 52044, 51029, 53029, 51795, 50445, 52550, 51066, 50454, 52573, 51029, 52443, 51029, 52205, 51795, 55746, 55411, 51029, 52550, 51029, 52242, 51795, 50445, 55061, 51029, 53249, 51029, 53731, 51029, 52177, 55342, 51029, 52049, 51029, 52550, 51407, 52205, 51795, 50436, 55411, 51029, 51975, 51795, 50446, 52740, 51066, 50455, 52573, 51066, 53029, 51795, 52177, 52550, 51066, 50427, 52573, 51029, 52797, 51029, 52205, 51795, 50446, 52550, 51407, 55411, 51795, 53029, 51795, 51975, 51795, 52177, 52416, 51029, 50427, 53296, 51066, 50437, 55061, 51029, 53249, 51029, 53731, 68174, 55342, 51029, 53029, 51029, 52205, 51029, 51975, 51795, 69341, 52662, 51066, 53571, 51029, 52550, 51029, 52292, 51029, 50437, 54081, 51066, 50447, 52292, 51029, 52242, 51029, 53382, 51407, 52478, 53029, 51029, 52573, 51029, 52049, 51029, 52797, 51029, 50428, 54081, 51066, 50437, 52662, 51066, 55342, 51029, 53029, 51029, 51975, 51029, 50447, 52205, 51066, 50457, 52044, 51066, 53731, 51066, 53249, 51407, 55061, 51795, 52573, 51795, 52478, 52416, 51066, 52205, 51066, 50428, 52662, 51029, 52342, 73018, 53895, 51066, 50448, 55342, 51029, 52550, 51029, 52205, 51029, 50457, 52416, 51066, 53069, 52044, 51066, 52342, 51066, 53571, 51029, 52573, 51407, 50429, 51975, 51066, 52416, 64631, 52797, 51066, 52044, 51029, 53029, 51795, 50448, 51975, 51066, 52550, 51029, 50458, 52044, 51029, 52205, 51407, 53069, 53895, 51066, 50429, 53029, 51029, 52550, 51029, 51975, 51029, 55411, 51795, 50439, 52342, 70636, 52416, 73422, 53029, 51066, 52443, 51066, 52205, 51066, 50458, 52550, 51066, 52242, 51066, 52342, 51066, 52591, 53029, 51059, 52550, 51059, 55411, 51795, 52049, 51795, 51975, 51795, 52416, 51795, 50434, 52550, 67476, 53029, 51066, 50449, 52550, 51066, 50458, 52797, 51059, 52044, 51059, 52205, 51059, 53029, 51795, 52573, 51795, 55746, 52342, 53300, 52416, 52119, 52044, 52674, 51975, 57880, 52443, 62281, 52242, 60254, 52443, 57276, 51975, 59550, 52044, 57365, 52416, 53532, 52044, 51300, 52342, 51300, 55061, 51795, 53249, 51795, 52573, 51795, 52242, 51795, 69341, 52342, 51300, 50448, 55342, 51059, 53029, 51059, 52550, 51059, 52049, 51795, 51975, 51795, 52416, 51795, 52177, 53296, 60442, 53249, 58026, 53029, 57615, 53571, 56998, 55342, 58874, 55061, 57476, 55411, 52674, 55061, 52057, 55342, 53609, 53571, 52284, 52049, 51300, 52443, 51300, 53029, 51407, 52573, 51795, 50449, 52044, 70937, 52416, 73481, 52342, 50860, 52177, 52443, 51300, 52205, 51300, 50422, 53249, 71355, 53296, 65174, 52550, 67476, 53249, 51300, 52573, 51300, 55061, 51407, 52242, 51795, 50444, 52205, 67976, 53731, 69502, 52416, 73481, 53731, 50860, 53249, 51300, 52573, 51300, 52177, 52205, 51072, 50423, 55061, 51072, 50428, 53731, 62751, 55342, 51300, 52550, 51795, 52205, 51795, 50439, 52049, 56059, 52242, 54554, 52797, 69502, 51975, 51300, 50460, 55411, 50860, 52478, 55342, 62643, 53571, 71355, 52573, 51072, 53029, 51795, 52049, 51795, 50434, 51975, 67476, 52797, 50860, 52550, 51072, 50445, 52242, 54554, 52797, 50860, 52573, 51300, 50455, 51975, 51072, 50461, 52205, 51059, 52478, 52797, 62643, 53029, 51072, 52550, 51072, 55411, 51795, 51975, 51795, 50429, 52416, 62751, 52205, 50860, 52550, 51059, 50440, 52342, 67289, 52416, 54554, 53029, 50860, 52044, 55273, 52550, 50860, 52416, 51072, 50461, 53296, 50860, 52478, 53249, 50860, 55061, 51300, 53731, 51300, 50424, 53029, 60280, 53249, 51072, 50440, 55342, 51300, 53029, 51300, 52205, 51300, 50451, 51975, 51059, 50461, 52662, 51059, 53571, 51300, 52550, 51300, 52292, 51300, 53069, 52242, 71577, 51975, 66605, 52797, 50860, 54081, 59618, 52242, 50860, 53382, 51072, 52292, 51300, 50440, 52049, 63999, 52242, 51072, 50451, 53382, 64531, 53029, 51300, 52573, 51300, 52049, 51300, 52797, 51300, 50799, 54081, 71249, 52205, 71577, 54081, 66605, 52662, 50860, 55342, 51300, 53029, 51300, 51975, 51300, 50435, 52205, 61870, 52416, 63999, 52205, 67413, 53731, 50860, 52044, 51059, 53249, 51300, 55061, 51795, 50457, 52416, 50860, 50799, 53731, 50860, 52573, 51059, 50419, 52416, 73947, 65644, 52342, 51072, 52662, 51300, 50430, 52550, 74089, 53249, 61870, 52550, 76774, 63999, 53895, 51072, 55342, 51300, 52205, 51300, 50452, 52416, 65836, 51975, 50860, 53029, 51072, 50799, 52416, 56111, 52044, 76774, 51072, 53571, 51300, 53249, 51300, 50425, 51975, 66605, 52242, 50860, 52416, 51072, 50436, 51975, 61870, 52797, 50860, 52049, 51072, 52044, 51072, 52573, 51300, 53029, 51795, 50447, 52242, 72477, 52292, 50860, 52797, 73947, 51059, 50457, 52740, 50860, 51975, 50860, 51601, 52573, 50860, 52044, 64948, 52550, 76774, 65644, 52044, 50860, 52573, 51072, 52797, 51072, 50431, 52342, 74089, 52049, 50802, 51975, 50802, 52416, 50802, 53029, 51072, 52550, 51072, 55411, 51184, 50442, 52242, 57276, 52797, 52911, 69289, 52550, 63758, 52242, 53532, 52797, 52163, 51975, 52937, 52797, 50803, 53029, 51072, 50461, 74920, 51809, 52049, 60442, 52292, 58026, 52740, 50803, 52550, 51072, 50425, 52573, 56998, 52740, 58874, 52292, 57476, 52740, 50803, 53029, 51072, 55411, 51184, 50436, 52292, 52057, 52049, 53609, 52740, 52284, 52292, 50803, 52550, 51072, 50447, 52049, 52116, 52242, 62103, 52797, 58403, 69289, 53029, 51072, 50458, 52044, 56771, 72772, 51809, 52342, 62180, 52550, 51072, 52205, 51072, 50430, 52049, 51407, 52550, 51795, 52740, 51795, 51975, 51795, 50450, 52416, 51407, 50460, 52292, 51066, 56020, 52550, 51300, 52740, 51300, 52049, 51795, 50432, 52342, 51066, 50442, 53296, 51300, 52205, 51300, 52573, 51407, 50799, 52292, 51300, 53249, 51795, 52662, 51795, 50424, 52573, 51066, 50434, 53882, 51066, 52740, 51300, 52242, 51407, 50445, 53895, 51066, 50455, 53882, 51066, 53249, 51300, 52416, 51300, 52177, 52573, 51066, 52797, 51066, 50427, 53249, 51300, 52740, 51300, 53634, 51300, 52662, 51407, 50447, 55061, 51795, 53249, 51795, 52573, 51795, 52044, 51795, 50457, 52205, 51066, 53069, 52342, 51066, 50429, 52416, 51066, 50439, 52242, 51300, 55061, 51795, 53249, 51795, 52573, 51795, 52342, 51795, 50459, 52044, 51407, 66243, 53249, 51300, 52416, 51300, 50442, 51975, 51066, 50452, 52443, 51066, 55061, 51300, 52342, 51300, 52573, 51407, 50799, 52242, 51066, 50424, 53029, 51407, 52049, 51795, 52443, 51795, 52044, 51795, 50434, 52550, 63523, 53296, 51300, 50454, 53029, 51066, 51809, 55061, 51300, 53249, 51300, 52573, 51300, 53322, 51300, 52242, 51300, 50436, 52049, 51300, 52443, 51300, 52044, 51300, 53029, 51407, 52573, 51795, 50457, 52416, 51066, 52049, 51795, 53069, 53571, 51066, 52342, 51066, 50429, 52205, 51066, 55342, 51300, 53029, 51300, 53882, 51300, 50439, 52416, 51066, 50449, 55061, 51300, 53249, 51300, 52342, 51300, 52573, 51795, 55753, 53029, 51300, 53895, 51300, 52049, 51300, 52205, 51300, 50441, 52242, 51066, 55411, 51300, 52416, 51300, 52550, 51407, 50451, 52443, 51066, 50461, 51975, 51066, 53571, 51300, 52662, 51407, 57731, 52292, 51066, 52242, 51066, 50434, 53029, 51300, 53296, 51300, 52573 ]
[ 0, 713, 14899, 5175, 2214, 11, 211, 538, 1575, 10, 16224, 1097, 483, 816, 5, 33301, 6, 7513, 30, 38668, 20535, 6, 6755, 12547, 6, 38668, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 9680, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 10563, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 83, 8, 211, 6, 2351, 10, 2007, 648, 2375, 16739, 14, 35315, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 58375, 53028, 71523, 50817, 51570, 50817, 52320, 50817, 50799, 50773, 50353, 54217, 50450, 50776, 50352, 51732, 50796, 50799, 50773, 50353, 52737, 55094, 51302, 52220, 50817, 51450, 69770, 52220, 50817, 51528, 50817, 73152, 50817, 51450, 69770, 52220, 50817, 51528, 78212, 52220, 50817, 51450, 69770, 52220, 50817, 51528, 78212, 52220, 50817, 51450, 52568, 50773, 50353, 52737, 50804, 52220, 50817, 78941, 55429, 78212, 52220, 51636, 55703, 52676, 53422, 55894, 69770, 52220, 51636, 55779, 50817, 78941, 50421, 51326, 57369, 51289, 51636, 51302, 52220, 61580, 51326, 57834, 51289, 50817, 55703, 57776, 51326, 52676, 51289, 52220, 51636, 55894, 69770, 52220, 51636, 55779, 50817, 78941, 55429, 78212, 52220, 51636, 55703, 52676, 53422, 55894, 69770, 52220, 51636, 55779, 50817, 78941, 50421, 51326, 57369, 51289, 51636, 51302, 52220, 61580, 51326, 57834, 51289, 50817, 55703, 57776, 51326, 52676, 51289, 52220, 51636, 55894, 69770, 52220, 51636, 55779, 50817, 78941, 55429, 78212, 52220, 51636, 55703, 52676, 53422, 55894, 69770, 52220, 51636, 55779, 50817, 78941, 50421, 51326, 57369, 51289, 51636, 51302, 52220, 61580, 51326, 57834, 51289, 50817, 55703, 57776, 51326, 52676, 51289, 52220, 51636, 55894, 69770, 52220, 51636, 55779, 50817, 50799, 60436, 58094, 60103, 61792, 60436, 60103, 57369, 60436, 60103, 51636, 50426, 50769, 50316, 51463, 58094, 55255, 57834, 50769, 50316, 55255, 56987, 50769, 50316, 55255, 51636, 50438, 57114, 52220, 54508, 51636, 50442, 57114, 54508, 56877, 57114, 54508, 66155, 55369, 51463, 52220, 51636, 50454, 55369, 51463, 56995, 55369, 62698, 70212, 63579, 51759, 52084, 57646, 52505, 53547, 52084, 51156, 52630, 52505, 51779, 52220, 51759, 52084, 51156, 57834, 50852, 52084, 57485, 52505, 53547, 52084, 51156, 52676, 52505, 63579, 51759, 52084, 57915, 52505, 53547, 52084, 51156, 52568, 52505, 51779, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 52505, 53547, 52084, 51156, 50817, 70212, 63579, 51759, 52084, 57646, 52505, 53547, 52084, 51156, 52630, 52505, 51779, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 52505, 53547, 52084, 51156, 52676, 52505, 63579, 51759, 52084, 57915, 52505, 53547, 52084, 51156, 52568, 52505, 51779, 52220, 51759, 52084, 51156, 57916, 50852, 52084, 58150, 52505, 53547, 52084, 51156, 50817, 70212, 50803, 50714, 50294, 51732, 56586, 51732, 51320, 51759, 52084, 57646, 52505, 53547, 52084, 51156, 52630, 52505, 51779, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 52505, 53547, 52084, 51156, 52676, 52505, 63579, 51759, 52084, 57915, 52505, 53547, 52084, 51156, 52568, 52505, 51779, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 52505, 51858, 52084, 51156, 50817, 70212, 50823, 51320, 51759, 52084, 57646, 52505, 50803, 53367, 51352, 52107, 51352, 50852, 52084, 51156, 52630, 52505, 51779, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 52505, 53547, 52084, 51156, 52676, 52505, 63579, 51759, 52084, 57915, 52505, 53547, 52084, 51156, 52568, 52505, 51779, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 52505, 53547, 52084, 51156, 50817, 70212, 50803, 62266, 51795, 56430, 51795, 56436, 51795, 53955, 51795, 52197, 51795, 52107, 51795, 50714, 50294, 51795, 51107, 51795, 51320, 51759, 52084, 57646, 52505, 53547, 52084, 51156, 52630, 52505, 51779, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 52505, 51858, 52084, 51156, 52676, 52505, 50823, 51320, 51759, 52084, 57915, 52505, 53547, 52084, 51156, 52568, 52505, 51779, 52220, 51759, 52084, 51156, 57916, 50852, 52084, 58150, 51874, 50824, 55847, 50823, 56430, 50803, 61990, 50803, 52253, 50823, 52544, 50823, 52197, 50803, 50714, 50297, 50976, 51201, 51858, 52084, 51156, 50817, 59696, 51759, 52084, 57646, 52020, 51795, 59443, 51352, 56436, 51352, 62278, 51352, 53286, 51352, 52107, 51352, 52730, 51352, 72844, 51795, 51182, 51352, 50852, 52084, 51156, 78212, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 50852, 52084, 51156, 52676, 51320, 51759, 52084, 59071, 51926, 60869, 51926, 57915, 50852, 52084, 51156, 53851, 51926, 52768, 51926, 52279, 58094, 51759, 52084, 59154, 51926, 52625, 52084, 58150, 51926, 52625, 52084, 51156, 56912, 51926, 50811, 71636, 50803, 62528, 51795, 58704, 51795, 65778, 51795, 53043, 51795, 53859, 51795, 52575, 51795, 77030, 51795, 51284, 51795, 51320, 51759, 52084, 57646, 54084, 53547, 52084, 51156, 52630, 54084, 51779, 51759, 52084, 51670, 51636, 50430, 50852, 52084, 57485, 54084, 53547, 52084, 51156, 52676, 54084, 63579, 51759, 52084, 57915, 54084, 53547, 52084, 51156, 52568, 54084, 51779, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 52401, 50975, 58704, 50803, 62278, 50803, 66600, 50803, 52575, 50803, 52730, 50803, 54843, 50803, 58084, 50976, 51304, 51858, 52084, 51156, 50817, 59696, 51759, 52084, 57646, 54084, 50824, 65778, 50823, 62528, 50803, 58704, 50803, 52575, 50803, 53859, 50803, 53043, 50803, 77030, 50976, 51284, 51858, 52084, 51156, 78212, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 52020, 50824, 62278, 50823, 59443, 50823, 56436, 50803, 53286, 50823, 52107, 50803, 52730, 50823, 72844, 50976, 51182, 51858, 52084, 51156, 52676, 51320, 51759, 52084, 57915, 51874, 51059, 61990, 50823, 56430, 50803, 55847, 66390, 52253, 50823, 52544, 50803, 50714, 50297, 50976, 51201, 51858, 52084, 51156, 69770, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 56430, 51184, 62266, 51184, 56436, 51184, 52197, 51795, 52107, 51795, 53955, 51795, 50714, 50294, 51184, 51107, 51795, 50852, 52084, 51156, 50817, 70212, 63579, 51759, 52084, 57646, 52505, 53547, 52084, 51156, 52630, 52505, 51779, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 52505, 53547, 52084, 51156, 52676, 52505, 63579, 51759, 52084, 57915, 52505, 51858, 52084, 51156, 52568, 52505, 51779, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 51874, 50824, 56430, 50803, 55847, 50823, 61990, 50823, 52197, 50803, 52253, 50803, 52544, 50803, 50714, 50297, 50976, 51201, 51858, 52084, 51156, 50817, 59696, 51759, 52084, 57646, 52020, 51795, 59443, 51352, 56436, 51352, 62278, 51352, 53286, 51352, 52107, 51352, 52730, 51352, 72844, 51352, 51182, 51352, 50852, 52084, 51156, 78212, 52220, 51759, 52084, 51156, 57834, 50852, 52084, 57485, 50852, 52084, 51156, 52676, 51926, 65440, 51759, 52084, 60681, 51926, 59135, 51926, 57915, 50852, 52084, 51156, 58977, 51926, 50811, 51382, 58094, 51759, 52084, 55552, 51926, 59154, 50852, 52084, 52884, 51926, 58150, 50852, 52084, 51156, 60488, 51926, 50811, 71636, 50803, 62528, 51795, 65778, 51795, 58704, 51795, 53859, 51795, 52575, 51795, 53043, 51795, 77030, 51795, 51284, 51795, 51320, 51759, 52084, 57646, 54084, 53547, 52084, 51156, 52630, 54084, 51779, 58094, 51759, 52084, 58459, 50852, 52084, 57485, 54084, 53547, 52084, 51156, 52676, 54084, 63579, 51759, 52084, 57915, 54084, 53547, 52084, 51156, 52568, 54084, 51779, 58094, 51759, 52084, 59154, 50852, 52084, 58150, 52401, 50824, 62278, 50823, 66600, 50803, 58704, 50803, 52575, 50823, 52730, 50823, 54843, 50823, 58084, 50976, 51304, 53547, 52084, 51156, 50817, 59696, 51759, 52084, 57646, 54084, 50824, 62528, 50803, 65778, 50823, 58704, 50803, 53859, 50803, 52575, 50823, 53043, 50823, 77030, 50976, 51284, 51858, 52084, 51156, 50817, 75433, 52084, 51670, 51636, 50430, 50852, 52084, 57485, 52020, 50824, 62278 ]
[ 0, 250, 765, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 38668, 9590, 6, 21072, 6, 8, 10, 38668, 483, 4, 20, 1349, 7630, 6568, 10, 1472, 9, 980, 8, 15073, 150, 6780, 15352, 30054, 8, 20425, 4785, 1328, 4, 8504, 11, 5, 762, 9, 272, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1239, 5, 30443, 15, 10, 3366, 219, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 56211, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 56211, 50425, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 56211, 50434, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 56211, 50446, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 56211, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 56211, 50425, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 56211, 50434, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 56211, 50446, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 56211, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 56211, 50425, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 56211, 50434, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 56211, 50446, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 56211, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 56211, 50425, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 56211, 50434, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 56211, 50446, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 52174, 52259, 50882, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 52174, 52259, 65418, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 52174, 52259, 68624, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 52174, 52259, 69389, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 52174, 52259, 50882, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 52174, 52259, 65418, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 52174, 52259, 68624, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 52174, 52259, 69389, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 52174, 52259, 50882, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 52174, 52259, 65418, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 52174, 52259, 68624, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 52174, 52259, 69389, 52174, 53401, 56211, 50449, 52174, 52555, 56211, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 50799, 52174, 52259, 50882, 50416, 52174, 54745, 56211, 50419, 52174, 52628, 56211, 50422, 52174, 53467, 52174, 52259, 65418, 52174, 52329, 56211, 50428, 52174, 54056, 56211, 50431, 52174, 52359, 52174, 52259, 68624, 52174, 53307, 56211, 50437, 52174, 52444, 56211, 50440, 52174, 54790, 56211, 50443, 52174, 52510, 52174, 52259, 69389, 52174, 53401, 56211, 50449, 52174, 52555, 52174, 57479, 50851, 50452, 52174, 54139, 56211, 50455, 52174, 52485, 56211, 50458, 52174, 53793, 56211, 50461, 56211, 63719, 51269, 52174, 52259, 52965, 50588, 50851, 50416, 52174, 54745, 53207, 51269, 56211, 50419, 52174, 52628, 54238, 51269, 56211, 50422, 52174, 53467, 54621, 51269, 52174, 52259, 65418, 52174, 52329, 52020, 51022, 56211, 50428, 52174, 54056, 53207, 51022, 56211, 50431, 52174, 52359, 54242, 51022, 52174, 52259, 68624, 52174, 53307, 52020, 51123, 56211, 50437, 52174, 52444, 53207, 51123, 56211, 50440, 52174, 54790, 52020, 51123, 56211, 50443, 52174, 52510, 54238, 51123, 52174, 52259, 69389, 52174, 53401, 54621, 51123, 56211, 50449, 52174, 52555, 52020, 51123, 56211, 50452, 52174, 54139, 53207, 51123, 56211, 50455, 52174, 52485, 54242, 51123, 56211, 50458, 52174, 53793, 52020, 50984, 56211, 50461, 56211, 63719, 50984, 52174, 52259, 50882, 50416, 52174, 54745, 53207, 50907, 56211, 50419, 52174, 52628, 54238, 50907, 56211, 50422, 52174, 53467, 54621, 50907, 52174, 52259, 65418, 52174, 52329, 52020, 50907, 56211, 50428, 52174, 54056, 53207, 50907, 56211, 50431, 52174, 52359, 54242, 50907, 52174, 52259, 68624, 52174, 53307, 52020, 50907, 56211, 50437, 52174, 52444, 53207, 50912, 56211, 50440, 52174, 54790, 52020, 50912, 56211, 50443, 52174, 52510, 54238, 50851, 52174, 52259, 69389, 52174, 53401, 54621, 50851, 56211, 50449, 52174, 52555, 52020, 50851, 56211, 50452, 52174, 54139, 53207, 50851, 56211, 50455, 52174, 52485, 54242, 50851, 56211, 50458, 52174, 53793, 52020, 50827, 56211, 50461, 56211, 63719, 50827, 52174, 52259, 50882, 50416, 52174, 54745, 53207, 50827, 56211, 50419, 52174, 52628, 54238, 50827, 56211, 50422, 52174, 53467, 54621, 50827, 52174, 52259, 65418, 52174, 52329, 52020, 50827, 56211, 50428, 52174, 54056, 53207, 50827, 56211, 50431, 52174, 52359, 54242, 50827, 52174, 52259, 68624, 52174, 53307, 52020, 50827, 56211, 50437, 52174, 52444, 53207, 50874, 56211, 50440, 52174, 54790, 52020, 50874, 56211, 50443, 52174, 52510, 54238, 50874, 52174, 52259, 69389, 52174, 53401, 54621, 50874, 56211, 50449, 52174, 52555, 52020, 50874, 56211, 50452, 52174, 54139, 53207, 50874, 56211, 50455, 52174, 52485, 54242, 50822, 56211, 50458, 52174, 53793, 52020, 50822, 56211, 50461, 56211, 63719, 50822, 52174, 52259, 50882, 50416, 52174, 54745, 53207, 50844, 56211, 50419, 52174, 52628, 54238, 50844, 56211, 50422, 52174, 53467, 54621, 50844, 52174, 52259, 65418, 52174, 52329, 52020, 50844, 56211, 50428, 52174, 54056, 53207, 50844, 56211, 50431, 52174, 52359, 54242, 50844, 52174, 52259, 68624, 52174, 53307, 52020, 50844, 56211, 50437, 52174, 52444, 53207, 50844, 56211, 50440, 52174, 54790, 52020, 50844, 56211, 50443, 52174, 52510, 54238, 50844, 52174, 52259, 69389, 52174, 53401, 54621, 50844, 56211, 50449, 52174, 52555, 52020, 50844, 56211, 50452, 52174, 54139, 53207, 50844, 56211, 50455, 52174, 52485, 54242, 50844, 56211, 50458, 52174, 53793, 52020, 50810, 56211, 50461, 56211, 63719, 50810, 52174, 52259, 52965, 50588, 50851, 50416, 52174, 54745, 53207, 50810, 56211, 50419, 52174, 52628, 54238, 50854, 56211, 50422, 52174, 53467, 54621, 50854, 52174, 52259, 65418, 52174, 52329, 52020, 50854, 52174, 52467, 75322, 52174, 54056, 53207, 50854, 56211, 50431, 52174, 52359, 54242, 50854, 52174, 52259, 68624, 52174, 53307, 52020, 50854, 56211, 50437, 52174, 52444, 53207, 50854, 56211, 50440, 52174, 54790, 52020, 50854, 56211, 50443, 52174, 52510, 54238, 50854, 52174, 52259, 69389, 52174, 53401, 54621, 50854, 56211, 50449, 52174, 52555, 52020, 50854, 52174, 52467, 77635, 52174, 54139, 53207 ]
[ 0, 250, 765, 3152, 2214, 19, 3495, 16882, 6, 4246, 30587, 29589, 6, 21072, 6, 2724, 368, 31365, 25999, 6, 8, 3459, 9590, 6, 2351, 10, 11739, 9, 15352, 30054, 8, 2933, 23225, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 20425, 16739, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50964, 51407, 51979, 66984, 50975, 51206, 63137, 72060, 58320, 51063, 53073, 51143, 51492, 51386, 53601, 50426, 51065, 54292, 50816, 57235, 54411, 61499, 52491, 57825, 51033, 51065, 50809, 52534, 52379, 51979, 52512, 50798, 57235, 54392, 51065, 52565, 52380, 72447, 59115, 53675, 53319, 55260, 52172, 51173, 51065, 54450, 51979, 51379, 53400, 52827, 52172, 53174, 50798, 50975, 51769, 61273, 58320, 51278, 51492, 51219, 51492, 51329, 53073, 50426, 51065, 54292, 50816, 59115, 54411, 62994, 53319, 55877, 51033, 51065, 52485, 51979, 51941, 53400, 51696, 50798, 57235, 54392, 51065, 52565, 50816, 59115, 53711, 51065, 54450, 51979, 50930, 52354, 52282, 51979, 78216, 57676, 51344, 53601, 51222, 53601, 50798, 74662, 72237, 58099, 51978, 53049, 51065, 53644, 51978, 51496, 62434, 57235, 63154, 52491, 52848, 50798, 51033, 51065, 60949, 50945, 65651, 52491, 51343, 52354, 52536, 50798, 57235, 54392, 51978, 62918, 52209, 51978, 51362, 62434, 59115, 53711, 51065, 70000, 51979, 74380, 51344, 51009, 52354, 51870, 51979, 50824, 51222, 77609, 50975, 51769, 69105, 52968, 51978, 68608, 61361, 51978, 51566, 55208, 51009, 51211, 51009, 51063, 51870, 50816, 57235, 64733, 51979, 50993, 57613, 51033, 51065, 59567, 52656, 51009, 50461, 51849, 51009, 51511, 51103, 55563, 56681, 60404, 55180, 50816, 51973, 51065, 50818, 51974, 59266, 51186, 50918, 52380, 51483, 50816, 59115, 65266, 53319, 50911, 51899, 60499, 60376, 52172, 67840, 51979, 50882, 52534, 51407, 51979, 52282, 50798, 74662, 57479, 53601, 51065, 58320, 51063, 53073, 51143, 51492, 51386, 53601, 50426, 51065, 54292, 50816, 57235, 63154, 52491, 65399, 50964, 55195, 51033, 51065, 52485, 51979, 52512, 52534, 52379, 50798, 57235, 54392, 51065, 52565, 52380, 51483, 50816, 59115, 53675, 53319, 63233, 52172, 53872, 54450, 51979, 50882, 53400, 52827, 52833, 53174, 51854, 51184, 51219, 51696, 50798, 50975, 51769, 54188, 52968, 51065, 54292, 50816, 57235, 54411, 51019, 51735, 50798, 51033, 51065, 60949, 53625, 51138, 50457, 52380, 52282, 53534, 51407, 52294, 51353, 51288, 55956, 57235, 78874, 51046, 52017, 50426, 51065, 56359, 52172, 51045, 62434, 57235, 65266, 52380, 63399, 51011, 51427, 51065, 50961, 50799, 52833, 51483, 51843, 53073, 51344, 67492, 55267, 52757, 50588, 53601, 51065, 58320, 51186, 52827, 51348, 53073, 50426, 52380, 51045, 51065, 61361, 52380, 51227, 62434, 57235, 64733, 52380, 58647, 51186, 51045, 52723, 52094, 59567, 52380, 51090, 54516, 73272, 57235, 54392, 51065, 56171, 52172, 63982, 51979, 57438, 59115, 65266, 51978, 73079, 51065, 54450, 51979, 51795, 52563, 52827, 51211, 51605, 51063, 51036, 51075, 67613, 59177, 51359, 51065, 52968, 51065, 54292, 50816, 59115, 54411, 50953, 60909, 51033, 51065, 59567, 52394, 72023, 51211, 53073, 51143, 52250, 52354, 52024, 51978, 51066, 51222, 67492, 59177, 51732, 50426, 52491, 51346, 50438, 52228, 60204, 52394, 55510, 52394, 51407, 55746, 51326, 52726, 53717, 53785, 53717, 52676, 53717, 65021, 53239, 51289, 52768, 51289, 50811, 52534, 52536, 51634, 75515, 52699, 52302, 50920, 52870, 50920, 53063, 50920, 52565, 50816, 52699, 52940, 50920, 53035, 50920, 52881, 50798, 52699, 50818, 52534, 57564, 52699, 52981, 50920, 52870, 50964, 51941, 50920, 52925, 50920, 52565, 50816, 62297, 50962, 50439, 51211, 51127, 67227, 52396, 50920, 52485, 50920, 56904, 51205, 51151, 51528, 58197, 51622, 53090, 56952, 53803, 50920, 52209, 50920, 52565, 50816, 73168, 52940, 50920, 55268, 50920, 54647, 52055, 51084, 50818, 54798, 56949, 52699, 53829, 50920, 52437, 50920, 60854, 51205, 51077, 51974, 58446, 55486, 50816, 52057, 52380, 51173, 51553, 52637, 52940, 53319, 51286, 52055, 66080, 52637, 53711, 52172, 52108, 63182, 52637, 54210, 51979, 52108, 65021, 54545, 50883, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 8, 2635, 12, 20764, 3495, 8, 15855, 2125, 11, 163, 428, 538, 6, 4246, 10, 13305, 6, 1515, 21305, 6, 8, 32909, 4, 20, 2214, 7630, 6568, 10, 3344, 9, 8597, 6, 31, 11098, 7, 15073, 8, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 428, 6, 12608, 401, 6, 163, 428, 73, 597, 6, 8, 274, 6, 150, 5, 86, 6543, 1189, 11, 204, 73, 306, 1328, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57128, 60820, 58879, 50951, 51764, 50295, 50974, 50422, 51487, 51328, 56759, 67736, 57935, 71714, 51487, 54221, 50997, 67736, 57935, 51712, 50335, 51423, 62335, 67736, 57935, 68861, 51339, 54653, 51197, 51712, 50331, 51380, 64057, 67736, 57935, 56711, 50997, 67736, 57935, 51712, 50330, 51423, 69024, 67736, 57935, 80253, 51405, 54448, 51176, 50805, 51339, 51095, 53523, 57449, 58983, 51405, 52559, 50900, 57449, 74563, 51095, 63188, 57449, 60770, 51062, 52734, 50997, 67689, 51157, 56040, 55143, 52605, 50956, 55143, 66083, 51095, 74518, 55143, 60770, 51081, 52734, 50997, 58050, 51215, 51062, 51215, 53645, 60037, 58983, 51081, 52559, 50871, 60037, 66083, 51095, 72754, 60037, 60770, 51081, 52734, 69955, 50997, 57572, 50999, 56382, 51146, 50910, 50871, 60037, 58983, 51062, 52559, 51405, 50910, 50871, 60037, 57807, 51146, 50910, 51057, 51487, 50910, 50871, 60037, 60770, 51339, 52734, 50956, 78083, 51405, 51157, 50432, 79299, 51234, 51157, 50997, 51157, 50902, 51157, 50435, 51147, 50808, 51057, 50951, 54275, 50931, 52734, 52046, 51204, 51197, 51204, 50861, 51204, 51001, 51204, 52323, 54414, 78804, 53863, 51542, 52046, 52222, 51197, 52222, 64574, 51380, 50444, 53863, 51058, 51057, 53863, 57935, 58879, 53407, 63422, 56307, 53777, 51380, 51214, 51749, 51026, 51749, 64551, 50974, 51057, 53077, 57935, 58879, 53777, 63422, 56307, 53407, 51712, 50288, 51749, 51176, 51749, 50432, 53777, 61528, 50974, 51057, 53077, 59704, 58879, 53250, 71387, 56307, 54414, 51380, 51234, 51749, 50997, 51749, 64551, 50974, 51057, 54812, 57935, 58879, 54414, 63422, 56307, 53250, 51423, 51234, 51749, 50997, 51749, 58296, 65867, 54414, 50874, 51057, 54812, 51423, 50871, 58879, 50965, 69596, 54414, 53881, 54414, 51380, 51234, 51749, 50997, 51749, 58296, 50974, 72754, 58879, 54414, 71387, 56307, 53250, 51423, 52046, 51749, 51197, 51749, 64551, 65867, 54414, 50874, 51057, 54812, 51423, 50861, 58879, 50906, 69596, 54414, 53881, 54414, 51380, 52046, 51749, 51197, 51749, 64551, 50974, 78246, 58879, 54414, 63422, 56307, 53863, 51423, 52046, 51749, 51197, 51749, 64551, 65867, 53863, 50874, 51057, 53863, 57935, 58879, 53407, 63422, 56307, 53777, 51380, 51214, 51749, 51026, 51749, 64551, 50974, 51057, 53077, 57935, 58879, 53777, 63422, 56307, 53407, 51712, 50288, 51749, 51176, 51749, 50432, 53777, 61528, 50974, 51057, 53077, 59704, 58879, 53250, 71387, 56307, 54414, 51380, 51234, 51749, 50997, 51749, 64551, 50974, 51057, 54812, 57935, 58879, 54414, 63422, 56307, 53250, 51423, 51234, 51749, 50997, 51749, 58296, 65867, 54414, 50874, 51057, 54812, 59704, 58879, 54414, 71387, 56307, 54414, 51380, 51234, 51749, 50997, 51749, 58296, 50974, 51057, 53407, 51423, 50871, 58879, 50965, 69596, 57147, 53881, 54414, 51380, 51234, 51380, 50997, 51380, 64551, 57935, 63422, 50974, 51057, 53863, 51423, 51234, 51380, 50997, 51380, 54569, 59704, 71387, 69596, 53407, 53881, 53777, 51542, 52046, 51542, 51197, 51542, 50956, 51542, 50861, 51542, 52076, 50426, 51993, 74048, 51993, 51380, 51234, 52222, 50997, 52222, 51057, 52113, 50874, 50899, 59704, 63422, 80253, 51993, 54448, 51633, 66676, 59704, 63422, 56307, 51721, 66676, 59704, 63422, 55544, 51667, 51712, 50285, 51749, 51050, 51749, 51057, 51643, 67736, 59704, 58887, 58879, 51831, 67736, 59704, 58887, 56307, 51667, 50874, 50956, 59704, 58887, 71714, 51721, 54221, 51643, 51712, 50285, 51749, 51050, 51749, 51057, 51831, 67736, 59704, 58887, 58879, 52522, 67736, 59704, 58887, 56307, 51831, 67736, 59704, 58887, 55544, 51721, 51423, 51234, 51749, 50997, 51749, 64690, 59704, 63422, 80253, 51633, 54448, 51993, 66676, 59704, 63422, 50974, 53337, 59704, 63422, 71714, 51993, 54221, 51993, 51712, 50290, 51749, 50997, 51749, 51057, 52113, 50874, 50899, 59704, 63422, 80253, 51993, 54448, 51633, 66676, 59704, 63422, 56307, 51721, 66676, 59704, 63422, 55544, 51667, 51712, 50285, 51749, 51050, 51749, 51057, 51643, 67736, 59704, 58887, 58879, 51831, 67736, 59704, 58887, 50974, 56040, 59704, 58887, 71714, 50621, 51993, 54221, 52372, 51423, 51247, 51749, 51050, 51749, 50956, 51749, 50871, 51749, 50877, 51749, 50876, 51749, 61245, 51993, 54448, 52200, 51423, 50429, 51667, 54221, 50619, 51721, 51542, 51234, 51712, 50302, 66676, 59704, 63422, 50974, 52323, 50624, 50871, 51380, 50965, 51380, 56040, 68120, 50438, 54414, 51380, 51721, 51380, 50899, 51380, 50871, 51380, 51057, 53863, 51423, 52200, 51423, 50956, 51008, 68929, 52046, 51380, 51197, 51380, 50417, 50997, 51008, 58097, 51008, 68929, 50423, 53863, 50874, 52200, 50874, 50997, 53881, 56853, 51423, 51993, 51423, 72301, 50965, 51008, 52046, 51380, 51197, 51380, 50429, 50997, 61957, 50989, 51008, 64190, 50435, 54985, 50874, 53179, 50874, 76339, 51057, 56418, 51423, 52372, 51423, 50956, 51008, 68929, 52046, 51380, 51197, 51380, 50417, 50997, 51008, 69724, 51008, 64190, 50423, 54985, 50874, 53179, 50874, 50997, 53881, 56418, 50974, 52372, 67736, 51008, 68929, 52046, 51380, 51197, 51380, 50429, 50997, 61957, 50956, 51008, 68929, 50435, 56418, 50874, 52372, 50874, 76339, 51057, 56853, 51423, 51993, 51423, 72301, 50965, 51008, 51234, 51380, 50417, 50997, 51008, 55961, 51008, 50965, 71662, 53863, 50874, 52113, 50874, 50997, 53881, 56853, 50974, 51993, 59704, 51008, 50965, 51008, 51234, 51380, 50429, 50997, 51008, 58783, 51008, 50965, 69876, 56853, 50874, 51993, 50874, 76339, 51057, 53863, 51775, 52200, 51775, 50956, 51008, 68929, 52046, 51380, 51197, 51380, 50417, 50997, 51008, 58097, 51008, 68929, 50423, 55602, 50874, 51633, 50874, 50997, 53881, 53863, 50974, 52200, 67736, 51008, 68929, 52046, 51380, 51197, 51380, 50429, 50997, 61957, 50956, 51008, 68929, 50435, 54414, 50874, 51721, 50874, 76339, 51057, 53863, 51423, 52200, 51423, 50956, 51008, 68929, 52046, 51380, 51197, 51380, 50417, 50997, 51008, 58097, 51008, 68929, 50423, 53863, 50874, 52200, 50874, 50997, 53881, 56853, 51423, 51993, 51423, 72301, 50965, 51008, 52046, 51380, 51197, 51380, 50429, 50997, 61957, 50989, 51008, 64190, 50435, 54985, 50874, 53179, 50874, 76339, 51057, 56418, 51423, 52372, 51423, 50956, 51008, 68929, 52046, 51380, 51197, 51380, 50417, 50997, 51008, 69724, 51008, 64190, 50423, 54985, 50874, 53179, 50874, 50997, 53881, 56418, 50974, 52372, 67736, 51008, 68929, 52046, 51380, 51197, 51380, 50429, 50997, 61957, 50956, 51008, 68929, 50435, 56418, 50874, 52372, 50874, 76339, 51057, 56853, 51423, 51993, 51423, 72301, 50965, 51008, 51234, 51380, 50417, 50997, 51008, 55961, 51008, 50965, 71662, 56853, 50874, 51993, 50874, 50997, 53881, 53863, 51423, 52200, 51423, 50956, 51008, 68929, 51234, 51380, 50429, 50997, 51008, 58296, 51008, 50871, 69876, 53407, 50874, 51721, 50874, 76339, 52323, 53777, 52015, 51652, 52015, 50956, 51328, 50861, 51328, 52046, 51749, 51197, 51749, 56363, 51328, 54439, 51328, 50906, 51328, 71288, 60465, 52046, 51380, 51197, 51380, 50997, 51380, 50956, 68120, 52323, 51081, 78804, 51405, 51542, 51487, 51542, 51197, 51749, 71341, 60465, 50997, 51058, 61614, 52363, 50331, 52363, 50335, 51058, 51057, 51339, 51423, 52128, 51423, 51197, 51380, 50417, 51026, 54448, 50997, 56174, 76599, 51787, 50874, 51814, 53881, 51487, 51423, 52052, 51423, 51197, 51380, 50429, 51026, 54221, 50997, 56149, 76599, 51787, 50874, 51814, 50874, 51057, 51487, 51423 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 230, 538, 6, 1931, 21683, 10, 32076, 8, 33558, 4780, 6, 1969, 13, 5, 1619, 191, 50, 2365, 9629, 4, 590, 10, 20902, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 1575, 5, 21040, 6514, 3222, 5785, 9, 21979, 8, 3459, 29589, 6, 2800, 30, 5, 5204, 12989, 9, 21072, 8, 21979, 9590, 4, 20, 15352, 30054, 15229, 29769, 198, 5, 33215, 16739, 9, 381, 406, 6, 274, 401, 6, 8, 272, 406, 6, 1271, 7, 63, 33928, 8, 7580, 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, 76501, 50986, 54353, 50986, 50921, 50799, 51169, 58410, 50947, 55573, 50947, 50962, 50424, 50947, 51696, 56020, 50986, 54818, 50947, 62941, 50947, 57880, 50947, 50962, 50439, 51064, 70500, 50947, 54554, 50929, 56210, 50970, 50930, 54389, 51932, 53947, 50882, 51209, 51896, 51917, 52392, 51017, 50977, 58324, 50929, 72255, 51664, 51036, 70044, 50947, 50894, 52906, 54413, 72470, 51030, 51017, 57753, 50806, 50947, 50962, 50424, 50947, 53435, 50426, 51493, 51603, 53947, 50882, 70044, 58324, 51017, 50901, 51361, 52668, 72470, 50924, 51017, 56625, 55122, 51216, 51932, 53947, 50894, 62081, 58324, 51017, 50901, 51180, 52668, 50803, 74602, 51229, 52382, 50946, 71530, 61646, 57674, 50946, 50879, 50448, 51017, 56977, 55149, 51493, 51021, 53947, 50894, 51209, 52382, 50453, 50946, 61171, 51017, 58367, 54319, 51098, 56214, 52668, 50803, 51917, 51036, 50946, 64353, 59262, 52567, 50946, 61764, 51017, 58367, 50862, 54389, 51932, 53947, 50894, 51664, 51036, 70044, 51017, 50977, 58324, 52906, 54413, 72470, 51030, 72527, 51017, 55341, 51493, 51603, 53947, 50894, 70044, 58324, 51017, 50901, 50947, 50962, 51361, 52668, 72470, 50924, 64017, 51017, 50879, 50947, 75483, 50947, 60364, 51216, 51932, 53947, 50894, 62081, 58324, 51017, 50901, 51064, 51030, 51180, 52668, 72470, 71530, 61646, 50882, 50947, 51286, 50447, 50946, 50879, 50448, 51017, 56977, 55149, 51493, 50923, 53947, 50894, 55046, 50453, 50946, 61171, 51017, 58367, 54319, 51098, 51594, 52973, 72470, 64353, 59262, 50800, 50970, 53793, 50946, 61764, 51493, 50962, 51017, 58367, 59496, 50929, 50834, 54204, 51932, 53947, 50882, 51390, 51896, 51256, 52392, 59458, 75734, 51169, 50817, 50947, 51014, 50415, 51322, 51036, 59082, 51039, 52668, 63469, 78139, 71899, 50806, 50929, 60743, 50929, 52247, 51140, 51603, 53947, 50882, 59082, 75734, 50872, 64627, 50960, 79506, 52668, 63469, 67981, 67276, 50879, 50929, 51551, 68958, 51932, 53947, 50894, 57140, 75734, 50872, 50901, 51180, 52668, 50803, 77958, 51390, 50983, 50848, 63673, 50882, 51007, 57674, 50848, 50879, 50448, 50872, 64579, 55149, 51140, 51021, 53947, 56328, 50848, 61171, 50872, 59072, 54319, 51261, 56214, 52668, 50803, 51256, 57172, 55414, 80137, 59747, 50947, 53793, 50848, 61764, 50872, 59072, 50862, 53788, 51932, 53947, 50894, 51366, 51036, 51408, 51036, 51334, 51036, 51451, 51036, 64525, 63573, 51064, 50976, 50415, 65998, 51039, 52668, 65215, 79396, 62540, 72015, 51064, 52422, 51098, 51603, 53947, 63473, 50977, 63573, 50868, 50901, 51064, 51427, 51361, 52668, 65215, 70845, 62507, 76418, 51032, 54362, 51150, 51932, 53947, 50894, 62835, 63573, 50868, 50901, 63457, 51169, 60032, 55784, 51180, 52668, 65215, 65894, 71035, 50882, 50445, 50947, 57152, 50885, 50879, 50448, 50868, 59978, 55149, 51098, 50923, 53947, 50894, 50947, 59574, 50885, 65106, 65603, 50868, 63915, 64405, 50970, 53875, 51150, 51594, 52973, 65215, 55729, 64357, 52567, 50885, 50862, 50970, 56082, 50460, 51150, 76250, 63915, 50862, 53202, 51932, 53947, 50882, 51334, 52311, 51256, 54055, 51451, 52208, 59458, 58056, 50415, 65998, 51039, 52668, 65215, 78139, 62289, 52247, 51150, 51603, 53947, 50882, 65998, 58056, 50872, 50901, 51361, 52668, 65215, 67981, 58886, 55122, 51140, 51932, 53947, 50894, 62835, 58056, 50872, 50901, 51180, 52668, 50803, 51334, 51552, 51408, 60947, 63673, 72304, 57674, 50885, 50879, 50448, 50872, 58149, 55149, 51150, 51021, 53947, 56328, 50885, 61171, 50872, 60940, 54319, 51140, 74105, 54413, 50803, 51256, 51030, 50885, 55414, 66278, 52567, 50885, 61764, 50872, 60940, 50862, 53202, 51932, 53947, 50894, 51334, 51336, 51451, 50918, 51256, 51336, 51039, 52668, 65215, 50948, 50872, 59192, 54851, 51150, 51603, 53947, 63973, 55658, 51236, 50851, 51361, 52668, 65215, 50938, 50872, 59092, 52446, 51140, 51932, 53947, 50894, 51451, 50807, 51256, 51013, 51334, 50924, 67386, 62848, 50872, 55322, 50903, 53156, 52668, 61129, 50795, 51334, 54180, 50948, 50872, 58886, 65782, 50903, 51420, 54988, 51150, 51932, 51577, 51104, 57488, 50882, 51451, 51112, 51366, 50879, 51408, 50807, 51334, 57680, 50937, 68528, 50868, 50873, 56488, 50453, 51236, 51754, 51289, 51049, 52973, 56662, 50882, 51366, 54180, 50948, 50868, 62507, 75642, 50986, 58361, 51553, 50822, 53202, 51932, 53947, 55400, 50858, 51334, 51896, 51256, 52392, 59458, 58056, 50929, 51010, 50415, 51451, 51036, 65998, 50947, 51021, 51039, 52668, 65215, 78139, 62289, 72015, 50947, 56519, 51150, 51603, 53947, 50882, 65998, 58056, 50872, 50901, 50427, 50947, 52392, 51361, 52668, 65215, 67981, 58886, 55122, 51140, 51932, 53947, 50894, 62835, 58056, 50872, 50901, 51180, 52668, 61129, 50795, 51334, 52382, 50885, 63673, 72304, 57674, 50885, 50879, 50448, 50872, 58149, 55149, 51150, 51021, 53947, 56328, 50885, 61171, 50872, 60940, 54319, 51140, 56214, 52668, 50803, 51256, 51036, 50885, 55414, 66278, 52567, 50885, 61764, 50872, 60940, 50862, 53202, 51932, 53947, 50894, 51451, 51036, 65998, 59458, 58056, 51039, 52668, 65215, 51030, 50909, 75647, 50893, 50422, 50986, 52329, 51150, 51603, 53947, 63473, 50977, 58056, 50872, 50901, 50947, 50894, 51361, 52668, 65215, 50924, 50909, 67981, 50879, 50947, 57880, 50947, 55381, 51140, 51932, 53947, 50894, 62835, 58056, 50872, 50901, 50439, 51064, 50936, 51180, 52668, 65215, 63673, 72304, 50882, 50947, 51192, 50447, 50885, 50879, 50448, 50872, 58149, 55149, 51150, 50923, 53947, 50894, 50929, 70087, 50885, 61171, 50872, 60940, 54319, 51140, 51594, 52973, 65215, 55414, 66278, 50800, 50970, 57308, 50885, 61764, 51150, 50962, 50872, 60940, 50862, 54389, 51932, 53947, 50882, 51209, 51896, 51917, 52392, 51017, 50977, 58324, 50929, 64854, 51664, 51036, 70044, 50947, 50894, 51039, 52668, 72470, 51030, 51017, 57753, 50806, 50947, 50962, 50424, 50947, 52017, 50426, 51493, 51603, 53947, 50882, 70044, 58324, 51017, 50901, 51361, 52668, 72470, 50924, 51017, 56625, 55122, 51216, 51932, 53947, 50894, 62081, 58324, 51017, 50901, 51180, 52668, 50803, 74602, 51229, 52382, 50946, 71530, 61646, 57674, 50946, 50879, 50448, 51017, 56977, 55149, 51493, 51021, 53947, 50894, 51209, 52382, 50453, 50946, 61171, 51017, 58367, 54319, 51216, 74105, 54413, 50803, 51917, 51036, 50946, 64353, 59262, 52567, 50946, 61764, 51017, 58367, 50862, 54389, 51932, 53947, 50894, 51664, 51036, 70044, 51017, 50977, 58324, 51039, 52668, 72470, 51030, 72527, 51017, 55341, 51493, 51603, 53947, 50894, 70044, 58324, 51017, 50901, 50947, 64453, 52668, 72470, 50924, 64017, 51017, 50879, 50947, 75719, 50947, 56341, 51216, 51932, 53947, 50894, 62081, 58324, 51017, 50901, 50439, 51064, 51033, 51180, 52668, 72470, 71530, 61646, 50882, 50947, 50936, 51618, 50882, 50946, 50879, 50448, 51017, 56977, 55149, 51493, 50923, 51577, 51104, 50821, 50929, 76335, 51236, 61128, 61171, 51017, 58367, 54319, 51216, 51594, 52973, 56662, 50882, 50946, 64353, 59262, 50800, 50970, 67667, 51170, 50882, 50946, 61764, 51984, 50962, 51017, 58367, 50862, 54204, 51932, 53947, 50882, 51390, 51896, 51256, 52392, 59458, 75734, 50947, 51021, 50415, 51322, 51036, 59082, 51039, 52668, 63469, 78139, 71899, 50806, 50929, 53423, 50929, 63098, 51140, 51603, 53947, 50882, 59082, 75734, 50872, 64627, 50960, 50880, 51361, 52668, 63469, 67981, 67276, 50879, 50929, 51551, 68958, 51932, 53947, 50894 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2125, 4246, 10, 38668, 2236, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 6, 21437, 10, 33215, 16739, 9, 272, 6, 230, 119, 6, 272, 73, 387, 6, 12608, 73, 387, 428, 6, 8, 1918, 406, 1328, 42, 765, 2214, 14, 7630, 6568, 10, 1472, 9, 980, 8, 15073, 6, 2905, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50438, 50736, 50293, 50918, 56067, 50918, 56335, 52728, 54346, 50807, 50799, 50736, 50292, 51036, 58550, 51036, 54810, 51036, 50799, 50736, 50293, 50918, 56067, 50918, 56335, 52910, 54346, 52424, 50736, 50292, 51036, 58550, 51036, 54810, 51036, 61627, 50736, 50293, 50918, 78642, 50918, 56067, 50918, 56335, 50807, 53557, 52728, 54346, 50807, 54045, 50807, 50799, 50736, 50292, 52045, 65305, 52045, 58550, 52045, 54810, 52045, 54426, 52045, 61627, 57037, 56811, 57684, 50918, 50799, 53557, 55834, 74419, 56039, 72788, 56811, 57037, 50918, 50799, 54045, 55834, 54426, 52424, 73729, 51605, 56067, 51605, 57037, 56811, 57684, 50918, 50799, 53557, 55834, 74419, 56039, 50736, 50296, 51605, 58550, 51605, 72788, 56811, 57037, 50918, 50799, 54045, 55834, 54426, 52424, 50736, 50295, 51605, 61820, 50807, 59181, 51605, 57037, 56811, 65724, 50807, 57684, 50918, 50799, 61820, 50983, 53557, 55834, 74419, 56039, 68227, 51605, 61820, 50807, 58765, 51605, 72788, 56811, 65724, 50807, 74419, 50918, 50799, 61820, 50983, 75230, 55834, 72788, 52424, 50736, 50293, 51605, 65724, 51605, 74419, 56811, 57037, 50918, 50799, 57684, 50807, 74419, 61899, 53557, 50807, 50736, 50340, 52424, 50736, 50292, 51605, 61820, 51605, 54426, 50807, 50736, 50340, 52728, 53557, 50807, 75230, 50918, 50799, 54045, 50807, 72788, 55834, 54426, 50807, 57037, 56039, 50736, 50293, 51605, 65724, 51605, 74419, 56811, 57037, 50918, 50799, 57684, 50807, 74419, 61899, 53557, 50807, 50736, 50340, 52424, 50736, 50292, 51605, 61820, 51605, 54426, 50807, 50736, 50340, 52728, 53557, 50807, 75230, 50918, 50799, 54045, 50807, 72788, 55834, 54426, 50807, 57037, 56039, 50736, 50291, 51605, 78642, 51605, 53557, 50807, 74419, 56811, 54426, 50807, 57037, 50807, 59745, 50918, 50799, 53557, 50807, 57684, 52910, 53452, 50807, 53557, 50807, 57684, 56039, 50736, 50291, 51605, 78642, 51605, 56085, 50807, 53557, 52728, 53452, 50807, 57684, 50807, 60962, 50807, 50799, 57684, 50807, 60962, 52910, 54045, 50807, 74419, 52424, 50736, 50292, 51605, 61820, 51605, 54045, 50807, 57037, 51161, 72788, 51492, 50450, 57196, 50807, 50799, 66511, 52910, 57037, 52424, 50736, 50292, 51605, 61820, 51605, 57037, 51605, 50450, 57196, 50807, 50799, 54045, 52910, 54426, 52424, 73729, 51605, 56067, 51605, 57037, 56811, 57684, 50918, 50799, 53557, 55834, 74419, 56039, 50736, 50296, 51605, 58550, 51605, 72788, 56811, 57037, 50918, 50799, 54045, 55834, 54426, 52424, 50736, 50295, 51605, 61820, 50807, 59181, 51605, 57037, 56811, 65724, 50807, 57684, 50918, 50799, 61820, 50983, 53557, 55834, 74419, 56039, 68227, 51605, 61820, 50807, 58765, 51605, 72788, 56811, 65724, 50807, 74419, 50918, 50799, 61820, 50983, 75230, 55834, 72788, 52424, 50736, 50293, 51605, 65724, 51605, 74419, 56811, 57037, 50918, 50799, 57684, 50807, 74419, 61899, 53557, 50807, 50736, 50340, 52424, 50736, 50292, 51605, 61820, 51605, 54426, 50807, 50736, 50340, 52728, 53557, 50807, 75230, 50918, 50799, 54045, 50807, 72788, 55834, 54426, 50807, 57037, 56039, 50736, 50293, 51605, 65724, 51605, 74419, 56811, 57037, 50918, 50799, 57684, 50807, 74419, 61899, 53557, 50807, 50736, 50340, 52424, 50736, 50292, 51605, 61820, 51605, 54426, 50807, 50736, 50340, 52728, 53557, 50807, 75230, 50918, 50799, 54045, 50807, 72788, 55834, 54426, 50807, 57037, 56039, 50736, 50291, 51605, 78642, 51605, 53557, 50807, 74419, 56811, 54426, 50807, 57037, 50807, 59745, 50918, 50799, 53557, 50807, 57684, 57944, 53452, 50807, 53557, 52424, 50736, 50291, 51605, 78642, 51605, 56085, 50807, 53557, 52728, 53452, 50807, 57684, 50807, 50799, 57684, 50807, 60962, 55834, 54045, 50807, 74419, 52424, 50736, 50292, 51605, 61820, 51605, 54045, 50807, 57037, 51161, 72788, 51492, 50450, 57196, 50807, 50799, 66511, 52910, 57037, 52424, 50736, 50292, 51605, 61820, 51605, 57037, 51605, 50450, 57196, 50807, 50799, 54045, 52910, 54426, 52424, 73729, 51605, 56067, 51605, 57037, 56811, 57684, 50918, 50799, 53557, 55834, 74419, 56039, 50736, 50296, 51605, 58550, 51605, 72788, 56811, 57037, 50918, 50799, 54045, 55834, 54426, 52424, 50736, 50295, 51605, 61820, 50807, 59181, 51605, 57037, 56811, 65724, 50807, 57684, 50918, 50799, 61820, 50983, 53557, 55834, 74419, 56039, 68227, 51605, 61820, 50807, 58765, 51605, 72788, 56811, 65724, 50807, 74419, 50918, 50799, 61820, 50983, 75230, 55834, 72788, 52424, 50736, 50293, 51605, 65724, 51605, 74419, 56811, 57037, 50918, 50799, 57684, 50807, 74419, 61899, 53557, 50807, 50736, 50340, 52424, 50736, 50292, 51605, 61820, 51605, 54426, 50807, 50736, 50340, 52728, 53557, 50807, 75230, 50918, 50799, 54045, 50807, 72788, 55834, 54426, 50807, 57037, 56039, 50736, 50293, 51605, 65724, 51605, 74419, 56811, 57037, 50918, 50799, 57684, 50807, 74419, 61899, 53557, 50807, 50736, 50340, 52424, 50736, 50292, 51605, 61820, 51605, 54426, 50807, 50736, 50340, 52728, 53557, 50807, 75230, 50918, 50799, 54045, 50807, 72788, 55834, 54426, 50807, 57037, 56039, 50736, 50291, 51605, 78642, 51605, 53557, 50807, 74419, 56811, 54426, 50807, 57037, 50807, 59745, 50918, 50799, 53557, 50807, 57684, 57944, 53452, 50807, 53557, 52424, 50736, 50291, 51605, 78642, 51605, 56085, 50807, 53557, 52728, 53452, 50807, 57684, 50807, 50799, 57684, 50807, 60962, 55834, 54045, 50807, 74419, 52424, 50736, 50292, 51605, 61820, 51605, 54045, 50807, 57037, 51161, 72788, 51492, 50450, 57196, 50807, 50799, 66511, 52910, 57037, 52424, 50736, 50292, 51605, 61820, 51605, 57037, 51605, 50450, 57196, 50807, 50799, 54045, 52910, 54426, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 13363, 28191, 5175, 15229, 14, 28337, 4785, 9, 25771, 930, 6, 42, 2125, 30853, 11, 10, 155, 73, 306, 86, 6543, 23, 10, 23667, 20889, 9, 23703, 13410, 228, 2289, 4, 8504, 11, 5, 762, 9, 274, 3694, 6, 24, 1575, 10, 31294, 2787, 3222, 5785, 9, 6755, 12547, 6, 21979, 8669, 6, 21979, 9590, 6, 32909, 6, 8, 38668, 11212, 4, 20, 6711, 16, 43580, 3693, 6, 19, 10, 2635, 6, 23975, 6, 8, 5679, 26709, 5466, 6, 15760, 14133, 30, 15352, 30054, 33083, 8, 20292, 223, 34693, 4, 20, 33215, 16739, 9, 274, 119, 6, 12608, 6, 2060, 6, 8, 230, 31473, 10, 1472, 9, 21420, 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 ]
[ 51034, 50634, 50791, 51054, 51544, 51054, 51570, 51054, 79395, 51154, 51365, 51154, 50933, 51201, 51365, 51201, 55656, 51488, 51210, 51201, 50942, 51905, 51210, 51690, 59517, 51093, 51142, 51395, 51210, 51304, 51142, 51811, 69658, 51201, 51008, 51690, 51008, 51488, 53010, 51905, 53010, 50444, 51395, 50878, 51811, 50878, 51093, 52063, 51304, 52063, 51034, 51488, 50933, 51201, 50878, 51905, 50933, 51690, 50878, 51154, 59828, 51113, 59828, 51093, 69103, 51201, 55597, 51140, 51591, 50426, 51093, 51862, 51395, 50878, 51304, 51862, 51811, 50878, 78777, 51136, 50912, 62891, 58985, 67522, 51438, 52739, 51488, 51142, 51201, 50933, 51905, 51142, 51690, 56180, 69236, 51136, 50912, 64837, 64836, 75423, 51438, 53743, 51093, 51524, 51395, 50959, 51304, 51524, 51811, 50959, 51034, 51488, 51142, 51201, 50959, 51905, 51142, 51690, 50959, 51395, 57232, 51216, 51591, 50426, 51395, 50955, 51811, 50955, 51488, 52063, 51905, 52063, 67395, 71546, 64667, 60674, 64145, 51438, 52739, 51488, 50933, 51201, 50955, 51905, 50933, 51690, 59577, 78777, 74977, 64667, 60674, 64145, 51438, 53086, 51093, 51365, 51395, 50878, 51304, 51365, 51811, 50878, 50449, 51261, 51591, 51034, 51201, 50959, 51690, 50959, 51488, 51166, 51905, 52063, 51165, 76297, 51488, 76297, 50420, 51395, 50959, 51811, 50959, 51093, 51387, 51304, 53010, 50426, 51488, 51965, 51905, 51965, 51201, 51244, 51690, 51244, 51246, 50851, 51317, 50827, 64667, 73707, 51316, 50907, 51438, 52718, 51246, 50851, 51317, 50827, 64667, 71780, 67704, 77232, 73831, 70506, 51509, 52710, 52061, 50812, 51509, 50800, 51246, 50827, 51317, 50851, 66805, 66946, 51316, 50907, 51438, 54150, 51431, 50812, 51641, 51724, 52061, 50882, 51509, 50858, 51261, 50849, 51246, 50984, 51317, 50907, 73828, 66946, 51316, 51022, 51438, 60466, 51431, 50800, 51641, 50882, 51034, 51113, 69103, 51093, 59828, 51201, 57771, 51284, 57771, 52061, 50859, 51509, 50795, 51140, 51189, 62459, 68860, 67292, 67522, 51438, 59895, 67395, 68860, 63183, 67671, 51438, 57252, 51431, 50858, 51641, 50894, 76427, 64836, 51032, 50844, 51438, 51123, 51788, 57959, 52061, 50923, 51509, 50893, 78777, 68860, 63183, 67522, 51438, 56006, 51150, 50917, 62459, 73063, 67292, 51032, 50851, 51438, 60466, 51431, 50858, 51641, 50894, 73063, 64836, 51032, 50844, 51788, 50984, 50449, 51140, 51100, 51034, 51395, 55586, 52061, 51012, 51509, 50911, 64268, 73828, 67292, 51032, 50851, 51438, 55869, 62459, 76427, 63183, 51032, 50851, 51438, 55070, 51431, 50858, 51641, 50882, 51098, 51100, 73063, 60674, 51032, 50844, 77232, 51788, 52739, 52061, 50802, 51509, 50923, 67395, 68860, 67292, 67522, 51438, 54584, 51216, 50849, 62459, 73828, 67292, 67522, 51438, 54478, 51431, 50858, 51641, 50894, 73063, 60674, 64145, 51438, 51123, 50449, 51261, 51189, 51034, 51165, 66595, 51488, 65527, 51201, 76297, 51723, 51933, 52061, 52369, 51317, 50822, 73828, 76532, 67704, 51438, 55869, 51317, 50874, 76427, 72318, 67704, 51438, 55070, 73063, 66946, 78376, 77232, 53019, 52739, 51317, 50827, 68860, 76532, 78485, 51438, 54584, 51140, 50812, 51317, 50874, 73828, 76532, 78485, 51438, 54478, 73063, 66946, 60897, 51438, 51123, 78459, 57519, 51154, 51365, 51154, 50933, 51201, 51365, 51201, 55656, 51488, 51210, 51201, 50942, 51905, 51210, 51690, 50942, 51868, 50914, 51246, 50822, 62891, 66946, 51316, 50907, 51438, 55100, 51093, 51142, 51395, 51210, 51304, 51142, 51811, 69658, 51201, 51008, 51690, 51008, 51488, 53010, 51905, 53010, 51793, 50914, 51246, 50844, 66805, 71780, 51316, 50907, 51438, 54478, 51395, 50878, 51811, 50878, 51093, 52063, 51304, 52063, 51034, 51488, 50933, 51201, 50878, 51905, 50933, 51690, 50878, 51284, 61017, 51113, 69103, 51093, 61489, 51140, 51591, 50426, 51093, 51862, 51395, 50878, 51304, 51862, 51811, 50878, 64268, 73828, 58985, 67671, 51438, 54661, 51488, 51142, 51201, 50933, 51905, 51142, 51690, 56180, 62459, 62891, 58985, 67671, 51438, 54682, 51093, 51524, 51395, 50959, 51304, 51524, 51811, 50959, 51034, 51488, 51142, 51201, 50959, 51905, 51142, 51690, 50959, 51201, 60130, 51216, 51591, 50426, 51395, 50955, 51811, 50955, 51488, 52063, 51905, 52063, 64268, 62891, 58985, 67671, 51438, 54150, 51488, 50933, 51201, 50955, 51905, 50933, 51690, 59577, 73248, 64667, 60674, 64145, 51438, 54478, 51093, 51365, 51395, 50878, 51304, 51365, 51811, 50878, 51034, 51201, 50959, 51690, 50959, 51488, 51166, 51905, 52063, 51165, 69103, 51488, 61489, 50415, 51261, 51591, 50420, 51395, 50959, 51811, 50959, 51093, 51387, 51304, 53010, 50426, 51488, 51965, 51905, 51965, 51201, 51244, 51690, 51244, 51246, 50844, 62891, 73707, 78485, 51438, 54584, 51246, 50874, 66805, 71780, 67704, 51438, 50851, 51034, 51394, 63160, 51140, 70506, 52061, 50874, 51509, 52654, 52061, 50851, 51509, 50800, 51246, 50844, 64667, 71780, 78485, 51438, 54150, 51431, 50812, 51641, 51724, 52061, 50894, 51509, 50821, 51261, 50812, 51246, 50827, 64667, 71780, 51316, 50984, 51438, 54947, 51431, 50800, 51641, 50950, 51034, 51113, 69103, 51284, 69103, 52061, 50803, 79430, 51140, 51103, 62459, 68860, 67292, 67522, 51438, 59895, 67395, 68860, 63183, 67671, 51438, 57252, 51431, 50950, 51641, 67720, 50984, 64836, 51032, 50844, 51438, 51123, 51788, 57959, 52061, 50803, 79430, 78777, 68860, 63183, 67522, 51438, 56006, 77479, 62459, 73063, 67292, 51032, 50851, 51438, 60466, 51431, 50950, 51641, 67720, 51022, 63183, 51032, 50907, 51438, 51269, 51034, 51093, 63160, 51395, 63160, 52061, 50803, 79430, 51140, 50914, 64268, 73828, 67292, 51032, 50851, 51438, 55869, 62459, 76427, 63183, 51032, 50851, 51438, 55070, 51431, 50858, 51641, 50950, 69606, 73063, 60674, 51032, 50844, 77232, 51788, 52739, 52061, 50950, 51509, 50894, 67395, 68860, 67292, 67522, 51438, 54584, 51216, 50914, 62459, 73828, 67292, 67522, 51438, 54478, 52061, 50950, 51509, 50894, 74725, 50947, 50907, 51032, 50984, 51438, 51252, 51034, 51165, 63309, 51488, 63309, 51201, 56599, 51394, 57232, 52061, 52369, 52336, 53174, 78899, 51317, 50822, 73828, 76532, 67704, 51438, 55869, 51317, 50874, 76427, 72318, 67704, 51438, 55070, 51140, 50914, 73063, 66946, 78376, 77232, 53019, 52739, 51317, 50827, 68860, 76532, 78485, 51438, 54584, 52318, 50914, 51317, 50874, 73828, 76532, 78485, 51438, 54478, 73063, 66946, 60897, 51438, 51123, 54963, 50882, 51034, 52157, 50914, 51246, 50822, 62891, 66946, 51316, 50907, 51438, 50912, 53775, 55446, 53775, 54856, 55783, 62019, 53775, 50882, 50443, 55783, 50882, 50449, 53775, 51379, 51034, 51093, 59828, 51113, 69103, 51154, 71620, 51201, 54270, 51140, 51591, 50421, 51032, 56909, 51549, 50984, 50425, 51438, 50959, 55783, 61001, 50970, 51128, 50947, 50971, 62459, 51032, 50984, 51438, 51123, 50433, 51032, 64945, 51549, 51051, 50437, 55783, 55381, 51788, 50858, 79504, 50986, 51058, 50970, 51254, 51032, 51254, 51438, 51254, 50443, 55783, 50882, 50445, 51032, 52056, 50447, 51549, 52034, 51034, 51284, 55490, 51150, 51591, 53729, 50901, 53775, 56346, 73248, 68860, 62458, 51032, 50851, 55783, 51030, 50427, 51438, 57959, 55862, 51379, 50438, 64837, 58985, 64145, 50439, 64268, 51438, 76065, 55783, 51030, 51034, 51165, 55776, 51638, 57598, 51488, 61489, 51261, 51591, 57106, 51286, 50420, 51064, 67132, 51316, 51051, 50424, 53775, 51500, 50425, 51438, 62209, 63208, 51064, 50886, 51246 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 163, 538, 6, 17407, 30, 41, 20425, 8, 15352, 30054, 16464, 19, 10, 11602, 9, 15073, 6, 4246, 10, 33215, 16739, 9, 2060, 119, 406, 6, 163, 119, 1176, 406, 6, 3676, 1176, 406, 6, 163, 6, 8, 163, 428, 12361, 11, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 58375, 51001, 51835, 51360, 52296, 50968, 52765, 51360, 51628, 50973, 51724, 51001, 51820, 51360, 52513, 50968, 52809, 51360, 51754, 61783, 50796, 50456, 61783, 57923, 51835, 51315, 52296, 50968, 52765, 51315, 51628, 50965, 51724, 51001, 51820, 51315, 52513, 50968, 52809, 51315, 51754, 73764, 50796, 50456, 73764, 57190, 51835, 51027, 52296, 50973, 52765, 51027, 51628, 50965, 51724, 50965, 51820, 51027, 52513, 50973, 52809, 51027, 51754, 73764, 50796, 57844, 51835, 51315, 52296, 50973, 52765, 51315, 51628, 50965, 51724, 50973, 51820, 51315, 52513, 50973, 52809, 51315, 51754, 73764, 57923, 51835, 51197, 52296, 51001, 52765, 51197, 51628, 50973, 51724, 51001, 51820, 51197, 52513, 51001, 52809, 51197, 51754, 61783, 57923, 51835, 51360, 52296, 50968, 52765, 51360, 51628, 50973, 51724, 51001, 51820, 51360, 52513, 50968, 52809, 51360, 51754, 61783, 57923, 51835, 51360, 52296, 50968, 52765, 51360, 51628, 50973, 51724, 51001, 51820, 51360, 52513, 50968, 52809, 51360, 51754, 61783, 61783, 57923, 51835, 51315, 52296, 50968, 52765, 51315, 51628, 50965, 51724, 51001, 51820, 51315, 52513, 50968, 52809, 51315, 51754, 73764, 57923, 51835, 51315, 52296, 50968, 52765, 51315, 51628, 50965, 51724, 51001, 51820, 51315, 52513, 50968, 52809, 51315, 51754, 50965, 62674, 50800, 57190, 51835, 51027, 52296, 50973, 52765, 51027, 51628, 50965, 51724, 50965, 51820, 51027, 52513, 50973, 52809, 51027, 51754, 50965, 62674, 50800, 57190, 51835, 51027, 52296, 50973, 52765, 51027, 51628, 50965, 51724, 50965, 51820, 51027, 52513, 50973, 52809, 51027, 51754, 73764, 57844, 51835, 51315, 52296, 50973, 52765, 51315, 51628, 50965, 51724, 50973, 51820, 51315, 52513, 50973, 52809, 51315, 51754, 73764, 57923, 51835, 51197, 52296, 51001, 52765, 51197, 51628, 50973, 51724, 51001, 51820, 51197, 52513, 51001, 52809, 51197, 51754, 61783, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 4785, 6, 4246, 10, 13305, 8, 30062, 620, 7085, 12280, 642, 816, 5, 1049, 4782, 6, 7513, 30, 3459, 9590, 6, 38668, 20535, 6, 8, 21072, 4, 20, 6711, 16, 1372, 8, 8728, 6, 7630, 14805, 10, 1472, 9, 657, 8, 26545, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 7212, 20889, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 211, 6, 272, 6, 83, 6, 211, 6, 8, 272, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57333, 53028, 50803, 51544, 75318, 52116, 50791, 50803, 54955, 51894, 50973, 51177, 50902, 51111, 50951, 51100, 50423, 57002, 50902, 50820, 51114, 53810, 50973, 51183, 50902, 51103, 50951, 51103, 50456, 61795, 53975, 51945, 50973, 62980, 51100, 50951, 51095, 50423, 50877, 61420, 51682, 50322, 54216, 50973, 51103, 50902, 51103, 50951, 51103, 72407, 50977, 54206, 52024, 50973, 59353, 51060, 50951, 51095, 50423, 50877, 62176, 76449, 52927, 50973, 51221, 50902, 51162, 50951, 65346, 62927, 51114, 55620, 50861, 63707, 53702, 50877, 51353, 51114, 51359, 50796, 54272, 50991, 51410, 51534, 51465, 51172, 51231, 51412, 51672, 51412, 50900, 51173, 50916, 58263, 65872, 53834, 54049, 54588, 51415, 50800, 51719, 51255, 51249, 51255, 70594, 50899, 74937, 60611, 53662, 54336, 51628, 51011, 50983, 51476, 51080, 51465, 51115, 51231, 51318, 51027, 51189, 50900, 51241, 50916, 51191, 50861, 62288, 54049, 79833, 53715, 53905, 53472, 65809, 53748, 58431, 55052, 52878, 52650, 58953, 52890, 58275, 54029, 53641, 52566, 63865, 52697, 57868, 53260, 53035, 50927, 51112, 51410, 51333, 51465, 50981, 51231, 50981, 54895, 50884, 51120, 51072, 50900, 61027, 51121, 50861, 51100, 50903, 55836, 64380, 53039, 63317, 53436, 55647, 55554, 60053, 53647, 58014, 54723, 53217, 55802, 53708, 66849, 64156, 58323, 57545, 54370, 59202, 50834, 63951, 59933, 50697, 50339, 57962, 59886, 50818, 52563, 51605, 52571, 51313, 54970, 52096, 72466, 50884, 51026, 51291, 50973, 59353, 63191, 56426, 51420, 54080, 50877, 65039, 79113, 50828, 51768, 51582, 53288, 52559, 50973, 51267, 50902, 51189, 50951, 51141, 62322, 76102, 52711, 50973, 51351, 51955, 52189, 52973, 55982, 73054, 50951, 60077, 56723, 51026, 53840, 50907, 54272, 51358, 51476, 51353, 50900, 51291, 50973, 62980, 57022, 51111, 57125, 52296, 50877, 62176, 79113, 50841, 51768, 51508, 52668, 53917, 50973, 51377, 50902, 51189, 50951, 51189, 55203, 76102, 55920, 51133, 51112, 50973, 51277, 51955, 51582, 51880, 59574, 50973, 60756, 61352, 59960, 51133, 74824, 59810, 50907, 56540, 51161, 52326, 51293, 50899, 51446, 50973, 73916, 51100, 50951, 60665, 52189, 55884, 50877, 60810, 51581, 50322, 50840, 51768, 51594, 51880, 54440, 50973, 51162, 50902, 51112, 50951, 51346, 55898, 77580, 52284, 51719, 51328, 59836, 51114, 50925, 57703, 51112, 51465, 65792, 50808, 50968, 67893, 52153, 51880, 54403, 51719, 51328, 59755, 51114, 51747, 50912, 52563, 51605, 52690, 51353, 52571, 51922, 51410, 51293, 51231, 51353, 51026, 51413, 50973, 59374, 51100, 50951, 51242, 50798, 52189, 57625, 50877, 62176, 51731, 50322, 51010, 51768, 51594, 57575, 54440, 50973, 51124, 50902, 51191, 50951, 51189, 62322, 51446, 50791, 53247, 50973, 50981, 50852, 56881, 50902, 50901, 64893, 53288, 54712, 50953, 71676, 52923, 50874, 54272, 51161, 51465, 52140, 51672, 51662, 50900, 51413, 50968, 51241, 50951, 51608, 50327, 59407, 51582, 57852, 50999, 50938, 51768, 51594, 57575, 52559, 50968, 79327, 51157, 55203, 70956, 54952, 51114, 53938, 51271, 51112, 51476, 73790, 59391, 51095, 50968, 75478, 52189, 57575, 52935, 51114, 50862, 52563, 51605, 52571, 51318, 51026, 51446, 50973, 60693, 51095, 57125, 57625, 50877, 65039, 79113, 50855, 51768, 52189, 51880, 53917, 51672, 52015, 50973, 51221, 50902, 51191, 50951, 51413, 50438, 54837, 51682, 50299, 51542, 50791, 55900, 54645, 55218, 56376, 62063, 55156, 73662, 51480, 50852, 54276, 71702, 60298, 54054, 67979, 56276, 55037, 65343, 51026, 55548, 64801, 56716, 60203, 56276, 51605, 54272, 51091, 51465, 51445, 52143, 51036, 51085, 51870, 50916, 51541, 50861, 53531, 50315, 51379, 69035, 54588, 50877, 50948, 51768, 52153, 53288, 54440, 51133, 51358, 50916, 50991, 50861, 59306, 51085, 78464, 54651, 50916, 63419, 54601, 51312, 50861, 70693, 52189, 53288, 54403, 50877, 58732, 50851, 56540, 79364, 51965, 52371, 51218, 51120, 51364, 50899, 57704, 51192, 50973, 55195, 60824, 54569, 63867, 61293, 50973, 53244, 58773, 50903, 52153, 52973, 54440, 51105, 51358, 51687, 51080, 51719, 51145, 52481, 51675, 50956, 50991, 50989, 51227, 50973, 76620, 52729, 51197, 51285, 50791, 53247, 51086, 58833, 51249, 66715, 67343, 51594, 52973, 56328, 50989, 57939, 50877, 50938, 53400, 50983, 52571, 51318, 51465, 51310, 51651, 51637, 52830, 51295, 51315, 51573, 51086, 51177, 50916, 51221, 50965, 67251, 52938, 55747, 51086, 50938, 56248, 50866, 64893, 54413, 52559, 50945, 50918, 52102, 51452, 51303, 51675, 53599, 51675, 51360, 52827, 51040, 71945, 51345, 50438, 51040, 51562, 50791, 61032, 50871, 51241, 50447, 50965, 51095, 51955, 52189, 52668, 52935, 50973, 54523, 58223, 59372, 55194, 51091, 51719, 51449, 51414, 51293, 53148, 51151, 51378, 51585, 51040, 50897, 50989, 58204, 51654, 51420, 54448, 51040, 58506, 50965, 67046, 50836, 51768, 51508, 53288, 53917, 51213, 51291, 51040, 51025, 50906, 51141, 51028, 51189, 51570, 54651, 51040, 70447, 51378, 50897, 56862, 53288, 59574, 50906, 80191, 56974, 63802, 51378, 55603, 50822, 58124, 51091, 51410, 51293, 51249, 51293, 54333, 51894, 56586, 51124, 56302, 51124, 51324, 51413, 51086, 51212, 50899, 76280, 61525, 53199, 53184, 56852, 51124, 54601, 51255, 51086, 67445, 61686, 50855, 51768, 51582, 52668, 54440, 51415, 50918, 56302, 51591, 54837, 51591, 51086, 51377, 50899, 51204, 50989, 71380, 51324, 75263, 54811, 51086, 51312, 56279, 50937, 50903, 52153, 54413, 54403, 51415, 50809, 52143, 52434, 50291, 57277, 56573, 51133, 50809, 56540, 50983, 51476, 51662, 51465, 51422, 51231, 51939, 52371, 51538, 51120, 51446, 50900, 51267, 50916, 68668, 50937, 52428, 51024, 60685, 56852, 50873, 54601, 52864, 51553, 54080, 56376, 51221, 50861, 66365, 52992, 50832, 58236, 51224, 53911, 50927, 50918, 56302, 51218, 54837, 51189, 50900, 51351, 50989, 51241, 50877, 51204, 66240, 50942, 51224, 50833, 50440, 53715, 53905, 53472, 65809, 53748, 58431, 55052, 52878, 52650, 50846, 51120, 51043, 50445, 52890, 58275, 54029, 53641, 52566, 71686, 50897, 50448, 52697, 57868, 53260, 53035, 51719, 50995, 51249, 51108, 51384, 50981, 54601, 51159, 54895, 50884, 50900, 73665, 62111, 50917, 51289, 53657, 68933, 53039, 63317, 53436, 55647, 55554, 60053, 53647, 58014, 54723, 53217, 58773, 55802, 50828, 51120, 53834, 66849, 64156, 58323, 57545, 54370, 59202, 50834, 63951, 59933, 50697, 50339, 57962, 59886, 50818, 52563, 50983, 51231, 51151, 51672, 51293, 54970, 52096, 72466, 50884, 51026, 51413, 50973, 60358, 60693, 51158, 52428, 52054, 55266, 50877, 65039, 51682, 50322, 50840, 51768, 51508, 54054, 52559, 52018, 73757, 51241, 50902, 51191, 50951, 51191, 62322, 53340, 57565, 51026, 71162, 54385, 50973, 51095, 73054, 50951, 51110, 60298, 54413, 52935, 51271, 50809, 51026, 53071, 51589, 54846, 66858, 52534, 51091, 51465, 51243, 50900, 51896, 50973, 73916, 60693, 51111, 62709, 50821, 51039, 53591, 50877, 61420, 79113, 50839, 51768, 51594, 52973, 53917, 50964, 73757, 51351, 50902, 51623, 50951, 51623, 51892, 51570, 54952, 50900, 67300, 54004, 50973, 51484, 64893, 53288, 54403, 56574, 50900, 57277, 50874, 52068, 52288, 51091, 52326, 52151, 50899, 51103, 50973, 73916, 51157, 50951, 51111, 62709, 50821, 51039, 55054, 50877, 50841, 51114, 50809, 51768, 50858, 55088, 54440, 51271, 73757, 51110, 50902, 79327, 51221, 52066, 55898, 51103, 50791, 53247, 50877, 51682, 50322, 50840, 57491, 51719 ]
[ 0, 250, 15855, 19834, 15229, 4246, 13305, 6, 1076, 560, 8, 579, 1517, 20426, 31365, 6673, 6909, 6, 8, 6168, 3540, 6, 278, 11, 10, 7212, 132, 73, 306, 86, 6543, 8, 5, 762, 9, 211, 538, 4, 20, 2125, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 15073, 6, 2351, 10, 25306, 5466, 14, 18, 258, 19448, 8, 9066, 4, 20, 46336, 3184, 29769, 198, 5, 3222, 5785, 9, 83, 406, 8, 211, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 51057, 50630, 51038, 64690, 56831, 52910, 72362, 50951, 51095, 50435, 68134, 61097, 64690, 61806, 50858, 53502, 66303, 51620, 51086, 50859, 50973, 53974, 50900, 50800, 56143, 64690, 52530, 50318, 51016, 61104, 70110, 75672, 50923, 56014, 64935, 51442, 50322, 50911, 51057, 51086, 73796, 75208, 51012, 56945, 58404, 51442, 50322, 72386, 56346, 51966, 51442, 50298, 76932, 51936, 50325, 51936, 50328, 57067, 51214, 64325, 75137, 66042, 51442, 50327, 50911, 69953, 63461, 53194, 50318, 51936, 50322, 51936, 50325, 51012, 50425, 51028, 52236, 50329, 53939, 50902, 50882, 51146, 50882, 51057, 51799, 74817, 52362, 50310, 65481, 68550, 51012, 51057, 62198, 51214, 69324, 78006, 50973, 52871, 53077, 50836, 54577, 50836, 51652, 58089, 50812, 51026, 51514, 50303, 61566, 57572, 55343, 50836, 53602, 50836, 51652, 64701, 52710, 53077, 50938, 54577, 50938, 51652, 52014, 50299, 51458, 50303, 58871, 77438, 52605, 53863, 50917, 54577, 50917, 51652, 52098, 50327, 50812, 51026, 51514, 50303, 61566, 57807, 68278, 51057, 53863, 50879, 52795, 50879, 51667, 66042, 51731, 50289, 71942, 50879, 50416, 50999, 58160, 50951, 52871, 55602, 50917, 52795, 50917, 51667, 52098, 50301, 60259, 61566, 77438, 53466, 55602, 50938, 52795, 50938, 51667, 52014, 50301, 60581, 58871, 77438, 52605, 51027, 60259, 61566, 50849, 51057, 55602, 50859, 52795, 50836, 51667, 60407, 50844, 67423, 51120, 60770, 53771, 50867, 52795, 50904, 51667, 69666, 52386, 50320, 54202, 53771, 50867, 52795, 50851, 51667, 50851, 50968, 69666, 50907, 50900, 58754, 53770, 53771, 50857, 52795, 50864, 52522, 61316, 50912, 63268, 51378, 64318, 53077, 50867, 52795, 50904, 52522, 69666, 71608, 53998, 53077, 50867, 52795, 50851, 52522, 50851, 50902, 64743, 50827, 50900, 58754, 50892, 51057, 53077, 50844, 54577, 50844, 51652, 50844, 51026, 68219, 73585, 55126, 53863, 50978, 52494, 50978, 52135, 67741, 53535, 50323, 52169, 50303, 58754, 53770, 53077, 50844, 54577, 50844, 51652, 50844, 50902, 52363, 50294, 66228, 56427, 51086, 58754, 50892, 51057, 60569, 51214, 51712, 50299, 71423, 50973, 53728, 53077, 50880, 54577, 50880, 51652, 50809, 61673, 51026, 51514, 50303, 61566, 57572, 53250, 50880, 53602, 50880, 51652, 69730, 52710, 53077, 51030, 54577, 50924, 51652, 53275, 50299, 51458, 50303, 58871, 58050, 52605, 53863, 50936, 54577, 50865, 51652, 51919, 50323, 50812, 51026, 51514, 50303, 61566, 58926, 51220, 50812, 51057, 54985, 51012, 54577, 50936, 52376, 53194, 50325, 51731, 50296, 50805, 50416, 51220, 58160, 50999, 52871, 53863, 50936, 54577, 50865, 52376, 51919, 50299, 51514, 50303, 59487, 63191, 53466, 53863, 51030, 54577, 50879, 52376, 53275, 50299, 51458, 50303, 61027, 60693, 52605, 51026, 51514, 50303, 59487, 50805, 51057, 53863, 50803, 52494, 50811, 51667, 50811, 63009, 68278, 51279, 71942, 78006, 55602, 50890, 52494, 50840, 51667, 60762, 52386, 50322, 54202, 55602, 50890, 52494, 50808, 51667, 50808, 51114, 62774, 50827, 51027, 62215, 55332, 53770, 55602, 50962, 54568, 50890, 51652, 76277, 50912, 72097, 51279, 68589, 59910, 53771, 50890, 54568, 50840, 51652, 75283, 52386, 50320, 53998, 53771, 50890, 54568, 50808, 51652, 50808, 50968, 70859, 50907, 51027, 62215, 55332, 50892, 51057, 53077, 50821, 52494, 50800, 52522, 50821, 74312, 67666, 51120, 55041, 55602, 50858, 52494, 50808, 51667, 50858, 57472, 74251, 50899, 54335, 53077, 50821, 52494, 50800, 52522, 50821, 74312, 59856, 51120, 54342, 50899, 50905, 51057, 53077, 51460, 52795, 51460, 52522, 51460, 51062, 50874, 51146, 50854, 51120, 55041, 68719, 66883, 50902, 54252, 53771, 50890, 52795, 50890, 51652, 54392, 55602, 50936, 52795, 50936, 51667, 79443, 50874, 74253, 51120, 54342, 53771, 50948, 52795, 50948, 51652, 52545, 50318, 50822, 51027, 58753, 50892, 51057, 53077, 50806, 52494, 50806, 52522, 77535, 50874, 51146, 50854, 51120, 55041, 54985, 50940, 52795, 50948, 52457, 50865, 51633, 66919, 50822, 51027, 58753, 62149, 55602, 54818, 53077, 50936, 52795, 50936, 52522, 51919, 50334, 50820, 51146, 51764, 50298, 64318, 51062, 50825, 51430, 53063, 53077, 50948, 52795, 50948, 51667, 52545, 50327, 71473, 50834, 68719, 50900, 55167, 51062, 50834, 50999, 50864, 51057, 53077, 50806, 54577, 50806, 51652, 67899, 63698, 51712, 50327, 57437, 56213, 50948, 54650, 50948, 51652, 52545, 50303, 58754, 51568, 50327, 63698, 64570, 53250, 50936, 54019, 50936, 51652, 51919, 50299, 77406, 64510, 66013, 53771, 50948, 52795, 50948, 51652, 69718, 51568, 50332, 67996, 51328, 51057, 53077, 51552, 54577, 51552, 51652, 51552, 61795, 51220, 51115, 51146, 51189, 54569, 51631, 51086, 54729, 51026, 50795, 51057, 53077, 51460, 52795, 51460, 52522, 51460, 59179, 71216, 51120, 52864, 61673, 51027, 60259, 57572, 53771, 50890, 52795, 50890, 51652, 54392, 55602, 50936, 52795, 50936, 51667, 79443, 50833, 69784, 51120, 53308, 53771, 50948, 52795, 50948, 51652, 52545, 50318, 73614, 60259, 50805, 51057, 53077, 50806, 52795, 50806, 52522, 50806, 51120, 68968, 51458, 50330, 56179, 54985, 50940, 52795, 50948, 52457, 50865, 51633, 51919, 50301, 60259, 58050, 59573, 55602, 54818, 53077, 50936, 52795, 50936, 52522, 51919, 50334, 50818, 51146, 51689, 50294, 60412, 51062, 50839, 51430, 52927, 53077, 50948, 52795, 50948, 51667, 52545, 50327, 50839, 51146, 50846, 51027, 60259, 57807, 50999, 50854, 71214, 51057, 53077, 50806, 54577, 50806, 51652, 67899, 51514, 50303, 60693, 51514, 50327, 52864, 53863, 50948, 54577, 50948, 51652, 69718, 51519, 50335, 57022, 66010, 55602, 50936, 52494, 50936, 51652, 51919, 50299, 51519, 50334, 67026, 67772, 53771, 50948, 52795, 50948, 51652, 52545, 50328, 51665, 50332, 64294, 50805, 51057, 53077, 51189, 54577, 51189, 51652, 51189, 51026, 51442, 50327, 51295, 51146, 51141, 54569, 55341, 51086, 52309, 51026, 50893, 51057, 53771, 51460, 52494, 51460, 52185, 51460, 51146, 50925, 51176, 70335, 51220, 53932, 66642, 51086, 64151, 61679, 64784, 53771, 50880, 52494, 50880, 52185, 52236, 50327, 53906, 55602, 51030, 52494, 50924, 52185, 51710, 50330, 50833, 51176, 65708, 51220, 53627, 53771, 50936, 52494, 50795, 52185, 55648, 50833, 51086, 64151, 61679, 62960, 51220, 50854, 51057, 53771, 50811, 52795, 50811, 51667, 50811, 51062, 50925, 51027, 70335, 53771, 50846, 52795, 50846, 51667, 50846, 50999, 54711, 53771, 50846, 52795, 50846, 51667, 50846, 66005, 50900, 62215, 62149, 50999, 54325, 54985, 50809, 52882, 50809, 51643, 71914, 50851, 51085, 65005, 54985, 50846, 52882, 50846, 51643, 50846, 50999, 54150, 54985, 50846, 52882, 50846, 51643, 50846, 66005, 50900, 62215, 60234, 50999, 50912, 51057, 53863, 50806, 52795, 50806, 51667, 62656, 51051, 51120, 67075, 50902, 54711, 55602, 50948, 52795, 50948, 51667, 52545, 50322, 50851, 51027, 58753, 58754, 62149, 50902, 54325, 54985, 50936, 52795, 50936, 52522, 51919, 50325, 50851, 51120, 65005, 50902, 54150, 53077, 50948, 52494, 50948, 52522, 52545, 50322, 50851, 51027, 58753, 58754, 60234, 50999, 50912, 51057, 59930, 50943, 52494, 50943, 51652, 51734, 50299, 63698, 51712, 50327, 57437, 57213, 51086, 64151, 64784, 65515, 51220, 53950, 54985, 50924, 53042, 50924, 52522, 51710, 50298, 70354, 66083, 52309, 54985, 50795, 53042, 50795, 52522, 56190, 71244, 51519, 50303, 67997, 62960, 51001, 66256, 50887, 51057, 53863, 50962, 52882, 50962, 52376, 52717, 50296, 51013 ]
[ 0, 250, 20902, 8, 17627, 17274, 3495, 8, 5175, 2214, 4246, 41, 10170, 1499, 6, 3459, 29589, 6, 8, 10, 31391, 1672, 9590, 4, 590, 10, 1769, 20889, 9, 8325, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 278, 11, 5, 762, 9, 83, 3694, 8, 29769, 198, 5, 33215, 16739, 9, 211, 119, 6, 1918, 6, 381, 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 ]
[ 56236, 50434, 51083, 51977, 59113, 52096, 54511, 51717, 51181, 51573, 52620, 61808, 50791, 53905, 51282, 50918, 51718, 51117, 74440, 56233, 56156, 50903, 66119, 55359, 57143, 52105, 50454, 51181, 52097, 51236, 60305, 52620, 58472, 52105, 50461, 58005, 71349, 54031, 52620, 56233, 64527, 52105, 71750, 54473, 51135, 56999, 52105, 50434, 52620, 55410, 50895, 51570, 55218, 51181, 51573, 52620, 61722, 50791, 60794, 51718, 51117, 68317, 51718, 51087, 60305, 50903, 54473, 68763, 51621, 50839, 53447, 51300, 51236, 54749, 51135, 64173, 52105, 50421, 58005, 50425, 58005, 50428, 51170, 54749, 68763, 51361, 54487, 50816, 72185, 51135, 56484, 52105, 50442, 51236, 54749, 51135, 57854, 52105, 50449, 51282, 51591, 51181, 51541, 52620, 53595, 51763, 51452, 51647, 52349, 51236, 51135, 61994, 51170, 68763, 51601, 50903, 54473, 51135, 63180, 52105, 50422, 51181, 51300, 52620, 55410, 50895, 51544, 50839, 51532, 78956, 68652, 51170, 54749, 51135, 57927, 52105, 50443, 50903, 54473, 51135, 57000, 59848, 52620, 55410, 62962, 52105, 50457, 51886, 50808, 51181, 51059, 52620, 60744, 51686, 52153, 50818, 51809, 51606, 51049, 55410, 64174, 51596, 50859, 51039, 56233, 55893, 51752, 67893, 54473, 51135, 56344, 51596, 53002, 52105, 50430, 51181, 51300, 52620, 55410, 61361, 52105, 50437, 58005, 50440, 58005, 52129, 51135, 56233, 50895, 51618, 57143, 50903, 54473, 51135, 57109, 52105, 50458, 51844, 51033, 51236, 54749, 51135, 57335, 52105, 52177, 59113, 52121, 54511, 51717, 51181, 51573, 52620, 63916, 58423, 51718, 51117, 61749, 51718, 51087, 62171, 51282, 61737, 54473, 51135, 57535, 52105, 50436, 51083, 51542, 59501, 52195, 52620, 55410, 69867, 57740, 58005, 57913, 68317, 52620, 56233, 60305, 79118, 50903, 54473, 51135, 50818, 50799, 52105, 50418, 52620, 55410, 63754, 52105, 50425, 51789, 50812, 51181, 51761, 52620, 71362, 51606, 55110, 52209, 51789, 53073, 51718, 51117, 74574, 56233, 59764, 50903, 54473, 51135, 59954, 52105, 50446, 51181, 51573, 51236, 54749, 51135, 58560, 52105, 51647, 50895, 51453, 64601, 51170, 54749, 68763, 51601, 52105, 50419, 50816, 72185, 51135, 56493, 52105, 50425, 51844, 50936, 51236, 50895, 52389, 68763, 51532, 52925, 51181, 76727, 61361, 58005, 63842, 56484, 51236, 68017, 52105, 50443, 51170, 51135, 54525, 51282, 56769, 50903, 54473, 51135, 53068, 52105, 50453, 51181, 51285, 50454, 52620, 55410, 61612, 52105, 50460, 58005, 50461, 51061, 51226, 51809, 58005, 50419, 52620, 56233, 68133, 50839, 51768, 54473, 51135, 57318, 52105, 50433, 52620, 55410, 61808, 52105, 50440, 51083, 50918, 51181, 51541, 52620, 74440, 50818, 51618, 55410, 58418, 51718, 51087, 62962, 51666, 51391, 51691, 51391, 50903, 54473, 51135, 58472, 52105, 50461, 51181, 51551, 52620, 55410, 50895, 71349, 53227, 51908, 51391, 51871, 51391, 58005, 57809, 61749, 52620, 56233, 62171, 52105, 50434, 51691, 51391, 52368, 51391, 50903, 54473, 51135, 80022, 55218, 52620, 55410, 61722, 52105, 50448, 51871, 51391, 53105, 51391, 51020, 51991, 51137, 51541, 52620, 68317, 50791, 58464, 51083, 51243, 51193, 51991, 51250, 51421, 55410, 56924, 51543, 50930, 51718, 51087, 50895, 50799, 52368, 51212, 53375, 51212, 51630, 69573, 54473, 51135, 64173, 52105, 50421, 53105, 51742, 54237, 51742, 53145, 50962, 51137, 51551, 51236, 54749, 51135, 60341, 52105, 50428, 51630, 52374, 78956, 56356, 51543, 64973, 54749, 68763, 51570, 59954, 51250, 52791, 72185, 51135, 58500, 52105, 50449, 51020, 51977, 51543, 55146, 51135, 55410, 68317, 76199, 51083, 51562, 51137, 51745, 52620, 50895, 51621, 50818, 51601, 51250, 62073, 51135, 64173, 51871, 51411, 53105, 51411, 51543, 72531, 51718, 51087, 61710, 51630, 62746, 54473, 51135, 60341, 52105, 50429, 52368, 51212, 53375, 51212, 53145, 50811, 51137, 51870, 52615, 51117, 68763, 51361, 60723, 53105, 51391, 54237, 51391, 51630, 52374, 59764, 58005, 50443, 51543, 61654, 54749, 51135, 57854, 59848, 52368, 51212, 53375, 51212, 51250, 60764, 54473, 51135, 50818, 51647, 58544, 51871, 51212, 53105, 51212, 51543, 55719, 56459, 51135, 61994, 52105, 51809, 51691, 51742, 54237, 51742, 51083, 51183, 51181, 51541, 52620, 64174, 50791, 53423, 51061, 51077, 51023, 51661, 67250, 51718, 51117, 53516, 51262, 50962, 51718, 51087, 63248, 51355, 56658, 54473, 51135, 56802, 52105, 50437, 51630, 50811, 51181, 51870, 52620, 55410, 68017, 52105, 50444, 51691, 52015, 51666, 52015, 52368, 52015, 51355, 51239, 50895, 51618, 58418, 51023, 51941, 51262, 58730, 54749, 51135, 59617, 52105, 50458, 51061, 51336, 51195, 62746, 54473, 51135, 56904, 52105, 52177, 51083, 51103, 51262, 55719, 51135, 55410, 63916, 60682, 51181, 51745, 52620, 61749, 50791, 56999, 51195, 50890, 51718, 51117, 60063, 51262, 50930, 51718, 51087, 54292, 51355, 56658, 54473, 68763, 51572, 57740, 51061, 51077, 51630, 50962, 51181, 52827, 52620, 55410, 66119, 52105, 50452, 51355, 52374, 60305, 50791, 56924, 51083, 50915, 51262, 58730, 54749, 68763, 50799, 52105, 50417, 51195, 80042, 50903, 54473, 51135, 58158, 52105, 50424, 51262, 68511, 61953, 52620, 65760, 52105, 50431, 52393, 51134, 51908, 51134, 51282, 51351, 51089, 51933, 50432, 51349, 51745, 52620, 74574, 52565, 51355, 51010, 51718, 51117, 66331, 52459, 67153, 51135, 57740, 51666, 51101, 51691, 51101, 51495, 51397, 52395, 69573, 54473, 51135, 58560, 52105, 50452, 51908, 51452, 51871, 51452, 51282, 50943, 54010, 50811, 51349, 51870, 51236, 56246, 52620, 50839, 51453, 54625, 52395, 52633, 50895, 51601, 58005, 50418, 52459, 55146, 51135, 56233, 61710, 52105, 50425, 51495, 51486, 51355, 52791, 72185, 51135, 50818, 51532, 52925, 51089, 51358, 52459, 55146, 51135, 55410, 68652, 52105, 50439, 51349, 51745, 52620, 62961, 50791, 57000, 51282, 51267, 51355, 51010, 51718, 51117, 53595, 52393, 51025, 51908, 51025, 52459, 50880, 51718, 51087, 56246, 52395, 56658, 54473, 51135, 58544, 52105, 50460, 51666, 51101, 51691, 51101, 54010, 50890, 51349, 51870, 51236, 54749, 68763, 51809, 52105, 50419, 51871, 51134, 51908, 51134, 52395, 52304, 68133, 53516, 52459, 53662, 51135, 56233, 63248, 52105, 50433, 51871, 51134, 53105, 51134, 51355, 69573, 54473, 51135, 56359, 52105, 50440, 52459, 57919, 54749, 68763, 51180, 54525, 51691, 51151, 52368, 51151, 51083, 50980, 51181, 51573, 52620, 50895, 52320, 57109, 51061, 50991, 51195, 50930, 51718, 51117, 61612, 51262, 77941, 51170, 51135, 57335, 51023, 50896, 51355, 56658, 54473, 68763, 51809, 52105, 50420, 51083, 51192, 51630, 51010, 51181, 51551, 52615, 51117, 68763, 51510, 56344, 51089, 51059, 51355, 52633, 50895, 55994, 60063, 51262, 55146, 56581, 51135, 57320, 52105, 50441, 51083, 51073, 51195, 62746, 54473, 51135, 67902, 60954, 51061, 51059, 51262, 53579, 51135, 55410, 58418, 52105, 50455, 51181, 51505, 52620, 50895, 55779, 50818, 67063, 50991, 51195, 50887, 51718, 51117, 57705, 51262, 57549, 51135, 61266, 51666, 51134, 51691, 51134, 51020, 52195, 51355, 50880, 51181, 51059, 50903, 54473, 51135, 60682, 52105, 50428, 51630, 59453, 54749, 51135, 60426, 52105, 50435, 51908, 51134, 51871, 51134, 51083, 51346, 51355, 51010, 51374, 51237, 58005, 51570, 66331, 51023, 51090, 51262, 53662, 56581, 51135, 57740, 52105, 50449, 51691, 51134, 52368, 51134, 51195, 50817, 51132, 51460, 50903, 54473, 51135, 59671, 76199, 51262, 54451, 51135, 55410, 50895, 51621, 50839 ]
[ 0, 250, 765, 6, 1372, 15855, 2125, 4246, 41, 21979, 8669, 816, 10, 15352, 30054, 4782, 11, 83, 3694, 4, 20, 2214, 34, 10, 19448, 8, 8520, 16464, 6, 7630, 14805, 10, 1619, 619, 4, 85, 18, 11, 204, 73, 306, 86, 8, 3136, 23, 10, 20902, 27841, 139, 20889, 6, 19, 5, 40286, 1918, 6, 211, 119, 406, 6, 8, 381, 406, 442, 12577, 4961, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 77629, 50796, 74080, 74899, 50970, 55574, 50427, 51444, 52518, 50986, 52059, 51131, 54836, 50438, 50986, 51824, 76979, 51131, 51737, 50439, 50947, 51006, 51067, 50972, 50449, 51444, 56374, 50450, 51131, 53697, 50451, 50986, 56615, 50970, 52378, 50461, 51131, 51387, 61080, 51022, 62891, 51067, 50972, 50415, 50947, 51008, 50425, 51444, 54211, 51131, 55002, 50426, 50970, 54344, 50435, 50929, 51054, 50437, 50986, 51470, 50947, 68112, 50970, 51051, 51067, 51166, 50449, 50929, 50865, 50947, 68886, 51444, 53674, 50461, 50970, 51376, 77458, 66474, 50942, 51067, 56307, 50970, 50952, 50960, 56615, 50970, 52996, 51207, 54211, 50437, 50960, 58087, 68860, 79748, 51067, 51174, 50439, 50998, 68527, 51064, 51761, 50449, 51444, 55574, 50970, 52996, 51207, 54211, 50461, 64207, 79401, 63232, 74080, 51058, 50425, 51207, 54344, 50970, 52011, 50436, 51207, 52731, 65813, 50437, 51067, 68112, 66805, 51064, 67031, 51064, 52731, 50446, 50960, 51550, 50449, 50960, 51737, 50970, 51387, 51207, 54848, 50450, 51064, 51432, 50455, 51067, 52011, 50457, 51207, 51862, 50960, 51210, 50970, 51166, 51064, 51074, 59412, 51067, 60625, 51131, 51470, 50929, 51006, 50998, 63794, 51292, 51376, 51316, 51199, 50437, 50998, 55659, 78125, 51292, 50972, 50439, 51316, 51244, 50450, 51131, 55574, 50460, 51316, 51059, 50461, 51131, 51166, 60938, 50933, 50998, 51058, 51292, 51254, 50415, 51316, 50974, 50421, 51316, 56374, 50426, 51574, 54228, 50998, 52136, 50427, 51316, 57626, 50929, 51051, 51292, 51058, 58993, 51316, 78271, 50947, 50865, 51131, 54521, 50998, 54836, 51574, 53674, 50451, 50929, 53957, 50460, 51131, 51824, 50461, 50998, 50978, 51316, 51328, 60938, 50844, 71656, 51292, 59386, 55046, 51131, 55574, 50970, 66916, 79509, 51131, 51862, 50947, 51008, 50439, 62787, 51067, 51862, 50970, 51100, 50447, 50947, 54145, 51444, 54211, 50460, 51131, 51387, 50461, 50986, 51365, 66474, 51051, 50947, 51008, 51067, 61911, 51444, 54228, 50427, 50986, 54344, 50970, 53697, 51131, 54228, 50438, 50986, 50959, 50439, 65317, 64836, 51067, 55514, 51131, 54344, 51444, 54228, 61080, 50933, 50415, 51131, 51269, 66805, 78962, 51067, 60147, 51207, 51319, 50960, 57252, 51207, 54344, 51032, 51072, 50428, 50960, 56615, 50437, 51064, 75966, 52482, 50438, 71539, 50439, 64207, 51067, 51051, 51064, 50987, 50446, 50998, 75477, 51207, 55197, 50960, 55197, 51444, 54211, 50461, 51207, 51862, 61894, 51008, 50970, 51008, 51064, 51254, 50415, 51067, 64586, 50960, 52996, 51032, 51072, 51207, 54211, 50427, 50970, 54344, 50437, 51064, 50825, 50960, 53161, 50438, 50960, 51166, 50439, 68860, 51064, 51254, 51067, 51074, 50446, 65318, 61894, 51824, 51064, 51376, 51067, 51166, 50415, 50970, 64078, 51131, 54344, 51444, 54228, 50427, 51032, 65031, 67395, 51131, 51862, 50970, 51008, 50960, 51481, 50439, 50947, 51051, 51067, 51432, 50446, 51064, 52175, 51131, 56615, 50451, 51444, 54228, 50461, 51131, 52731, 50986, 51174, 50799, 62891, 50947, 51142, 51067, 51432, 50423, 51207, 67726, 51032, 71030, 51444, 54211, 51131, 56374, 50428, 50986, 56615, 50438, 50986, 51142, 50970, 51008, 50998, 61187, 77211, 50947, 62565, 51076, 67413, 50986, 53957, 51444, 54228, 50461, 51131, 51365, 61080, 51008, 50415, 62891, 50947, 51008, 73075, 50421, 50998, 51297, 50422, 50986, 55375, 51207, 53356, 51317, 54344, 51131, 52397, 50434, 50929, 51709, 50436, 51076, 57222, 51317, 50959, 51131, 51824, 51292, 63747, 50929, 50959, 51076, 51051, 50445, 51786, 51051, 50449, 51131, 51466, 51317, 58959, 76542, 50929, 51709, 50457, 51316, 51051, 50461, 51131, 51365, 51076, 51054, 75961, 50810, 67524, 50929, 65739, 71656, 50425, 50998, 51328, 52012, 52059, 51317, 54344, 51131, 79542, 50960, 61868, 51317, 58151, 51317, 50844, 51131, 51142, 75646, 51076, 69945, 51131, 51738, 52012, 52147, 50450, 51317, 51738, 50929, 52618, 50461, 51131, 51824, 51076, 50905, 75961, 50810, 63614, 51317, 51277, 50421, 51076, 70852, 50960, 50910, 50425, 51131, 61390, 51444, 51832, 50986, 52731, 50433, 50970, 79178, 51131, 64147, 51444, 51128, 67395, 78564, 51067, 51174, 50439, 79504, 50443, 50947, 50917, 50449, 50929, 51166, 51444, 52460, 50450, 51207, 52518, 50960, 52063, 50970, 52063, 51064, 51481, 50451, 51067, 52192, 50456, 51067, 52378, 50457, 51064, 50830, 50970, 51254, 51064, 51174, 50458, 51444, 51123, 51207, 51123, 70698, 51601, 51316, 60449, 51292, 51254, 50425, 51131, 51490, 50427, 51067, 50976, 50986, 51314, 50970, 51244, 50947, 51148, 51067, 51148, 51444, 52440, 50434, 51067, 58038, 78777, 51131, 51524, 50451, 69129, 50947, 64599, 51067, 50941, 57731, 50947, 58844, 51064, 77662, 51444, 50912, 51067, 63022, 51131, 51862, 50434, 50947, 70008, 51444, 52731, 50438, 70899, 50970, 51058, 51292, 63747, 50947, 51051, 51131, 51376, 51067, 51387, 50446, 50947, 55814, 51444, 51470, 51438, 59712, 51131, 51862, 50986, 51524, 50970, 52782, 50458, 50947, 51123, 50461, 51444, 52731, 51131, 51376, 61080, 50959, 50970, 60521, 50978, 73075, 51563, 51138, 50422, 75562, 50425, 51444, 51862, 51131, 52731, 51788, 54675, 50986, 52167, 50433, 50947, 64964, 50986, 51174, 51131, 64896, 50970, 50959, 78962, 73075, 51563, 51138, 50445, 50947, 51123, 50449, 50929, 50982, 51444, 66893, 51438, 51030, 50457, 50947, 51524, 50460, 51131, 51470, 70437, 50461, 76169, 51292, 50936, 77661, 51067, 50838, 52591, 50970, 51004, 50947, 51210, 50425, 51444, 51252, 51207, 51862, 50960, 51824, 51563, 54675, 74725, 51064, 51470, 50431, 50947, 57455, 51438, 51500, 50437, 50970, 51058, 50960, 58151, 51067, 51079, 51064, 51277, 50447, 51067, 56060, 51444, 51022, 50960, 52192, 50451, 50970, 52179, 50455, 51064, 51174, 61108, 52192, 63557, 51067, 74221, 76337, 51064, 50905, 50425, 51207, 51387, 50434, 51292, 79290, 50960, 52718, 51207, 51524, 50970, 50955, 51064, 50974, 51067, 56391, 51067, 51074, 50449, 51064, 52059, 50450, 51444, 51376, 50451, 51207, 52731, 50960, 54298, 50456, 50929, 51210, 50461, 51064, 50976, 61108, 51824, 63880, 51067, 51481, 50415, 50970, 51058, 51064, 74506, 50947, 55070, 51064, 51175, 50427, 51574, 52192, 50998, 52059, 50428, 51316, 53697, 50435, 50947, 61929, 51131, 51376, 50439, 50998, 50987, 51292, 51174, 65783, 51064, 50976, 50440, 51316, 67139, 51136, 52731, 50448, 51317, 51058, 50451, 51574, 55197, 50998, 61211, 50461, 51574, 51365, 62954, 50912, 50998, 50955, 65712, 50415, 51292, 51142, 51316, 50978, 50422, 51444, 51297, 50425, 51574, 53697, 51131, 54344, 50432, 51317, 55574, 50437, 51574, 71552, 51131, 50912, 64162, 51292, 50851, 50998, 50955, 50929, 50924, 51316, 64208, 50947, 61860, 51574, 54836, 51131, 52996, 50998, 55574, 50456, 51316, 66426, 75646, 65962, 51524, 51131, 51142, 50998, 50959, 51316, 50959, 51292, 51142, 51067, 51074, 50421, 51207, 50908, 50986, 51022, 51292, 51973, 51067, 51051, 51444, 55197, 51131, 56615, 50986, 52996, 50970, 51738, 50433, 51788, 78422, 50960, 50982, 73645, 50437, 51444, 51269, 62459, 50947, 51051, 51067, 58087, 64667, 51438, 51480, 50445, 51067, 58175, 50947, 50942, 51131, 56615, 50986, 55197, 50970, 53957, 51444, 53674, 50458, 50970, 51862, 50461, 67395, 50947, 51051, 50970, 51058, 51067, 51824, 51601, 69701, 50422, 50960, 54836, 50424, 51444, 52441, 50425, 51131, 55002, 50433, 50970, 51524, 50436, 50986, 51051, 50437, 65317, 50947, 59577, 51067, 50933 ]
[ 0, 250, 15855, 8, 5175, 24904, 2214, 14, 7630, 6568, 10, 25306, 5466, 19, 63, 2933, 8, 15352, 30054, 23225, 6, 2351, 41, 9066, 8, 814, 12, 21330, 13569, 9862, 4, 8504, 11, 5, 762, 9, 274, 3694, 6, 5, 15229, 11498, 10, 1769, 20889, 9, 10572, 13410, 228, 2289, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 163, 8, 230, 10431, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 67004, 51085, 63720, 78325, 52560, 61158, 51085, 63720, 78325, 52560, 56554, 51085, 63720, 78325, 52560, 52524, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 68618, 71236, 52560, 52863, 51085, 68618, 71236, 52560, 50810, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 63720, 78325, 52560, 58528, 51085, 63720, 78325, 52560, 56585, 51085, 63720, 78325, 52560, 52781, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 68618, 71236, 52560, 53066, 51085, 68618, 71236, 52560, 52654, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 63720, 78325, 51085, 52149, 51085, 52720, 52560, 60672, 51085, 63720, 78325, 52560, 58171, 51085, 63720, 78325, 52560, 52800, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 68618, 71236, 52560, 52658, 51085, 68618, 71236, 52560, 52729, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 63720, 78325, 52560, 58261, 51085, 63720, 78325, 52560, 57185, 51085, 63720, 78325, 52560, 50813, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 68618, 71236, 51026, 51490, 51026, 51103, 52560, 53103, 51085, 68618, 71236, 52560, 52843, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 63720, 78325, 51378, 52149, 51966, 52720, 51378, 51717, 52560, 61158, 51085, 63720, 78325, 52560, 56554, 51085, 63720, 78325, 52560, 52524, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 68618, 71236, 52560, 52863, 51085, 68618, 71236, 52560, 50810, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 63720, 78325, 52560, 58528, 51085, 63720, 78325, 52560, 56585, 51085, 63720, 78325, 52560, 52781, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 68618, 71236, 52560, 53066, 51085, 68618, 71236, 52560, 52654, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 63720, 78325, 52560, 60672, 51085, 63720, 78325, 52560, 58171, 51085, 63720, 78325, 52560, 52800, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 68618, 71236, 52560, 52658, 51085, 68618, 71236, 52560, 52729, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 63720, 78325, 51085, 52149, 51085, 52337, 52560, 58261, 51085, 63720, 78325, 52560, 57185, 51085, 63720, 78325, 52560, 50813, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 68618, 71236, 52560, 53103, 51085, 68618, 71236, 52560, 52843, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 63720, 78325, 52560, 61158, 51085, 63720, 78325, 52560, 56554, 51085, 63720, 78325, 52560, 52524, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 68618, 71236, 51026, 51413, 51026, 51314, 52560, 52863, 51085, 68618, 71236, 52560, 50810, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 63720, 78325, 51378, 51486, 51378, 52528, 52560, 58528, 51085, 63720, 78325, 52560, 56585, 51085, 63720, 78325, 52560, 52781, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 68618, 71236, 51040, 51413, 51360, 51490, 51176, 51447, 51040, 51244, 52560, 53066, 51085, 68618, 71236, 52560, 52654, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 63720, 78325, 51026, 52528, 50900, 52431, 50900, 52903, 52560, 62293, 51085, 51592, 50442, 51085, 63720, 78325, 52560, 58171, 51085, 63720, 78325, 52560, 52800, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 68618, 58676, 68618, 52147, 50861, 51145, 52560, 60950, 51026, 51244, 50432, 51085, 68618, 71236, 52560, 52729, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 63720, 78325, 51378, 52140, 50900, 52140, 50989, 52140, 52560, 58261, 51085, 63720, 78325, 52560, 57185, 51085, 63720, 78325, 52560, 50813, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 68618, 71236, 51176, 51080, 51040, 51127, 52560, 53103, 51085, 68618, 71236, 52560, 52843, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 63720, 78325, 51026, 52528, 50900, 52140, 52560, 61158, 51085, 63720, 78325, 52560, 56554, 51085, 63720, 78325, 52560, 52524, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 68618, 71236, 51026, 51314, 50900, 67835, 51148, 52560, 52863, 51085, 68618, 71236, 52560, 50810, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 63720, 78325, 50997, 52149, 51040, 52149, 50989, 52149, 50906, 52149, 51028, 52149, 50997, 52204, 51040, 52250, 50989, 52250, 52560, 58528, 51085, 63720, 78325, 52560, 56585, 51085, 63720, 78325, 52560, 52781, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 68618, 71236, 52560, 53066, 51085, 68618, 71236, 52560, 52654, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 63720, 78325, 52560, 60672, 51085, 63720, 78325, 52560, 58171, 51085, 63720, 78325, 52560, 52800, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 68618, 71236, 52560, 52658, 51085, 68618, 71236, 52560, 52729, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 63720, 78325, 52560, 58261, 51085, 63720, 78325, 52560, 57185, 51085, 63720, 78325, 52560, 50813, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 68618, 71236, 52560, 53103, 51085, 68618, 71236, 52560, 52843, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 63720, 78325, 51966, 51732, 51378, 51732, 52560, 61158, 51085, 63720, 78325, 52560, 56554, 51085, 63720, 78325, 52560, 52524, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 68618, 71236, 52560, 52863, 51085, 68618, 71236, 52560, 50810, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 63720, 78325, 52560, 58528, 51085, 63720, 78325, 52560, 56585, 51085, 63720, 78325, 52560, 52781, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 68618, 71236, 51197, 51300, 50956, 51300, 52560, 53066, 51085, 68618, 71236, 52560, 52654, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 63720, 78325, 51378, 51732, 50899, 51732, 51120, 51732, 52560, 60672, 51085, 63720, 78325, 52560, 58171, 51085, 63720, 78325, 52560, 52800, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 68618, 71236, 52560, 52658, 51085, 68618, 71236, 52560, 52729, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 63720, 78325, 52560, 58261, 51085, 63720, 78325, 52560, 57185, 51085, 63720, 78325, 52560, 50813, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 68618, 71236, 52560, 53103, 51085, 68618, 71236, 52560, 52843, 51085, 59920, 57593, 50802, 52560, 50878, 53997, 63720, 78325, 51234, 51407, 51360, 51407, 51378, 51407, 52560, 61158, 51085, 63720, 78325, 52560, 56554, 51085, 63720, 78325, 52560, 52524, 51085, 59920, 57593, 50802, 52560, 55467, 51085, 59920, 57593, 50802, 52560, 56060, 51085, 68618, 71236, 51197, 51029, 50997, 51029, 50956, 51029, 52560, 52863, 51085, 68618, 71236, 52560, 50810, 53997, 59920, 57593, 50802, 52560, 55440, 51085, 63720, 78325, 51378, 51352, 51027, 51352, 50899, 51352 ]
[ 0, 250, 15352, 30054, 5175, 8, 3152, 2214, 19, 10, 748, 1879, 15525, 20889, 6, 4246, 30587, 29589, 6, 13305, 6, 2382, 3459, 8669, 6, 2236, 1021, 2678, 29, 6, 8, 31391, 1672, 9590, 6, 70, 447, 561, 7, 1045, 10, 11739, 9, 657, 6, 15073, 6, 8, 11098, 6, 19, 5, 40286, 163, 119, 8, 230, 10431, 119, 406, 428, 245, 73, 387, 19983, 5705, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 58375, 50426, 52474, 51941, 51726, 51422, 50437, 50852, 50859, 54293, 51941, 51772, 51191, 50852, 64274, 50940, 50687, 50307, 50845, 58341, 75504, 54223, 51662, 51070, 52167, 50852, 51550, 63241, 52524, 52000, 51242, 51070, 52167, 50852, 50844, 50687, 50307, 52767, 51772, 51346, 50852, 59875, 50910, 76668, 78344, 52000, 52788, 52000, 51775, 50791, 55237, 50925, 63241, 53114, 51772, 76909, 50360, 51342, 54146, 76668, 60145, 51340, 51342, 52946, 50450, 52000, 51775, 60927, 55345, 51727, 50893, 54223, 50937, 51070, 50952, 79584, 50870, 62761, 50845, 57157, 50893, 51917, 70136, 52744, 50808, 79584, 50863, 69143, 54644, 51533, 50866, 54223, 70136, 54146, 50791, 51998, 60927, 50937, 58341, 74907, 51533, 50948, 52000, 57918, 58576, 50852, 50810, 79584, 50835, 58341, 78435, 54223, 52818, 51957, 50879, 51917, 57462, 50921, 79584, 50886, 69143, 50905, 50437, 51070, 50921, 55545, 50955, 51917, 55271, 50894, 60927, 50937, 58341, 51524, 50444, 51727, 50940, 54223, 53710, 50364, 51342, 54146, 79584, 50908, 62761, 56060, 51957, 50827, 52000, 50955, 51070, 54146, 52066, 76668, 50873, 69143, 51252, 51647, 60550, 51533, 50940, 51917, 50940, 51070, 52744, 50882, 79584, 50862, 58341, 50878, 51621, 50821, 54293, 50830, 51917, 50948, 51070, 52744, 50821, 76668, 50937, 58341, 68582, 51912, 61098, 52946, 51070, 54146, 76668, 74095, 51912, 57818, 50852, 66611, 52167, 50431, 51917, 55214, 51957, 70136, 50897, 50687, 50307, 50937, 69143, 50978, 50437, 51912, 54137, 51070, 78752, 50687, 50307, 68982, 51912, 72431, 54088, 50791, 54146, 50450, 51533, 50948, 51917, 53734, 79601, 52946, 76668, 50937, 58341, 54752, 51912, 51008, 54928, 51070, 50910, 76668, 51051, 50799, 51912, 51006, 51070, 55744, 50910, 76668, 54213, 51917, 50948, 51070, 54146, 50791, 54618, 50687, 50307, 57499, 51912, 74585, 51051, 51070, 54088, 50687, 50307, 52731, 50432, 51912, 50933, 51070, 50830, 50687, 50307, 52904, 51917, 50948, 51070, 61984, 76668, 55945, 51912, 50955, 51070, 52167, 50791, 53106, 76668, 61444, 51912, 58262, 51070, 54088, 50791, 50858, 50687, 50307, 50901, 51647, 54418, 51885, 50895, 52971, 50895, 51917, 50948, 78044, 50925, 51621, 50854, 54293, 51941, 51521, 51362, 52160, 51362, 51772, 75263, 50921, 51070, 50925, 50687, 50307, 50845, 58341, 75504, 54223, 51662, 51070, 52946, 50791, 50910, 63241, 52524, 52000, 51242, 51070, 54088, 50852, 51051, 50687, 50307, 52767, 51772, 51346, 51070, 50942, 76668, 78344, 52000, 52788, 52000, 51775, 51070, 50830, 63241, 56819, 50791, 60204, 51772, 51364, 51070, 54618, 76668, 59002, 50791, 58576, 50450, 52000, 51775, 50791, 50952, 51070, 52167, 60927, 55345, 51727, 50893, 51611, 50895, 52551, 50895, 54223, 50937, 54722, 51070, 50942, 79584, 50870, 62761, 50845, 57157, 50893, 51885, 50895, 52971, 50895, 51917, 70136, 52744, 50910, 79584, 50863, 69143, 54644, 51533, 50845, 51521, 50828, 52160, 50828, 54223, 70136, 54146, 50791, 52946, 60927, 50937, 58341, 55752, 51533, 50948, 51521, 50818, 52160, 50818, 52000, 56558, 50933, 51070, 52167, 79584, 50835, 58341, 78435, 54223, 52818, 51957, 50924, 51885, 50895, 52971, 50895, 51917, 57462, 50910, 79584, 50886, 69143, 50978, 55545, 50955, 51521, 50895, 52160, 50895, 51917, 55271, 63568, 50940, 60927, 50937, 58341, 51524, 50444, 51727, 50940, 51611, 50895, 52551, 50895, 54223, 53710, 54088, 51070, 52167, 79584, 50908, 62761, 56060, 51957, 51006, 51885, 50895, 52971, 50895, 52000, 56879, 50940, 51070, 54088, 76668, 50873, 69143, 52782, 50456, 51533, 50940, 51521, 50841, 52160, 50841, 51917, 67867, 51070, 50897, 79584, 50862, 58341, 50878, 54293, 50830, 51521, 50859, 52160, 50859, 51917, 50948, 54722, 51070, 50830, 76668, 50937, 58341, 68582, 51912, 77848, 54146, 50791, 54088, 76668, 74095, 51912, 57818, 50852, 50955, 51070, 52167, 50431, 51917, 55214, 51957, 50865, 51885, 50858, 52971, 57233, 50897, 50687, 50307, 50937, 69143, 50978, 50437, 51912, 50905, 51570, 51014, 51070, 50830, 50687, 50307, 68982, 51611, 50890, 52551, 50890, 51912, 72431, 54618, 50791, 53106, 50450, 51533, 50948, 51521, 50858, 52160, 50858, 51917, 53734, 50940, 51070, 54146, 76668, 50937, 58341, 54752, 51912, 51008, 76668, 51051, 50457, 51070, 55690, 50952, 50799, 51912, 51006, 51070, 56230, 51142, 76668, 54213, 51917, 57603, 50910, 50687, 50307, 50925, 50421, 51070, 54088, 50425, 51849, 53383, 51912, 71986, 51524, 50816, 72431, 54146, 50687, 50307, 52731, 50431, 51849, 51380, 76948, 51380, 50432, 51137, 51227, 51511, 51016, 52023, 51016, 51912, 50933, 51070, 50925, 50687, 50307, 50870, 54117, 59290, 51917, 61826, 63445, 50959, 51070, 50942, 76668, 50901, 50443, 51529, 50972, 66931, 57997, 73710, 51473, 50948, 51969, 50948, 51912, 63250, 50925, 76668, 50867, 53760, 74299, 51569, 51134, 60328, 51679, 51912, 58262, 51181, 50948, 51521, 50940, 52160, 63779, 50897, 50687, 50307, 50901, 56223, 54752, 51338, 50925, 51885, 50895, 51885, 50940, 52971, 50895, 52971, 50940, 51917, 61363, 50921, 58644, 51051, 50460, 54489, 51460, 50461, 79814, 52121, 69851, 51717, 50734, 50302, 52121, 50799, 50655, 50271, 50943, 71018, 51003, 51533, 51941, 51521, 51134, 52160, 51134, 50778, 50312, 50359, 51367, 58732, 52744, 50940, 58341, 51422, 50415, 52303, 51162, 51719, 51157, 51687, 68463, 50778, 50312, 73678, 51524, 50425, 66023, 52442, 50426, 50778, 50312, 73678, 50910, 51070, 60675, 50778, 50312, 71746, 52167, 50438, 50778, 50312, 51582, 60332, 60835, 50778, 50312, 73678, 76267, 50778, 50312, 50358, 51005, 50910, 51070, 51008, 61695, 57830, 51727, 50940, 51611, 50820, 52551, 50820, 50778, 50312, 73678, 52946, 62761, 50878, 57157, 50858, 51885, 50820, 52971, 50820, 50778, 50312, 50358, 51005, 50952, 69143, 58315, 54613, 50420, 51533, 50863, 51533, 50878, 51521, 50837, 52160, 50837, 50778, 50312, 73678, 51142, 58341, 51258, 58341, 64586, 51533, 50940, 51521, 50829, 52160, 50829, 50778, 50312, 50358, 50922, 62706, 50910, 58341, 56799, 51957, 50952, 51885, 50820, 52971, 50820, 50778, 50312, 52611, 69143, 50959, 64821, 52946, 55545, 50844, 51521, 50820, 52160, 50820, 50778, 50312, 62283, 50830, 58341, 51123, 60644, 60224, 51957, 51998, 51727, 50940, 51533, 52231, 51611, 50820, 52551, 50820, 50778, 50312, 52231, 69143, 51998, 62761, 50878, 58341, 52231, 50445, 50791, 52946, 50450, 51957, 50827, 51885, 50820, 52971, 50820, 50778, 50327, 51159, 51070, 51210, 69143, 51252, 61695, 58133, 51533, 50928, 51533, 50940, 51521, 50863, 52160, 50863, 58341, 52611, 58341, 50878, 55779, 63298, 50791, 59854, 50734, 50303, 52121, 63702, 52121, 50799, 50655, 50271, 51241, 71018, 51351, 54872, 50943, 51303, 50914, 52571, 50943, 51687, 50943, 51533, 50830, 51521, 50822, 52160, 50822, 50778, 50312, 50359, 51005, 52744, 50921, 58341, 68582, 50778, 50312, 73678, 74990, 50778, 50312, 50358, 50922, 55336, 54372, 51957, 50865, 51885, 50810, 52971, 50810, 50778, 50312, 52611, 69143, 50978, 64821, 52167, 50437, 58373, 52057, 50778, 50312, 52704, 55744, 77561, 58373, 54811, 50778, 50312, 73678, 52179, 50449, 63293, 52396, 51533, 50948, 73384, 52160, 50810, 50778, 50312, 50358, 50922, 63834, 61509, 50921, 58341, 50866, 50455, 58373, 61828, 50778, 50312, 73678, 52179, 50799, 50778, 50312, 50358, 51005, 50878, 70561, 50952, 50419, 63293, 63853, 50778, 50312, 73678, 57277, 55640 ]
[ 0, 250, 15352, 30054, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 10, 6755, 12547, 6, 30587, 8669, 6, 13305, 6, 38668, 3038, 6, 8, 1076, 560, 31365, 25999, 4, 20, 2125, 16, 11, 163, 3694, 6, 34, 10, 7212, 20889, 9, 8971, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 211, 73, 347, 6, 272, 6, 3676, 406, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57530, 53028, 75011, 54665, 50659, 50299, 50961, 51570, 50841, 50659, 50299, 52940, 50659, 50296, 52568, 52261, 50659, 50294, 56353, 50659, 50294, 53563, 62654, 50803, 50799, 52649, 51795, 53483, 51795, 52040, 51795, 51561, 51795, 54471, 50833, 52065, 51795, 51426, 51795, 51491, 51795, 50749, 50322, 50817, 50749, 50334, 52532, 50898, 55267, 50378, 53692, 50862, 53878, 51072, 50417, 50749, 50327, 50817, 69492, 52532, 53227, 54471, 50833, 50749, 50329, 50817, 71023, 52532, 51539, 64367, 50749, 50322, 50817, 50749, 50334, 52532, 52968, 54471, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 54948, 52084, 51029, 53878, 51267, 53649, 52667, 54471, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 51464, 66129, 50749, 50327, 50817, 69492, 52532, 52952, 54471, 50833, 50749, 50329, 50817, 71023, 52532, 50898, 50803, 53878, 77385, 50749, 50334, 50817, 50749, 50346, 52532, 53239, 54471, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 51750, 70853, 50749, 50322, 50817, 50749, 50334, 52532, 52768, 54471, 50833, 50749, 50329, 50817, 71023, 52532, 54948, 51880, 51029, 53878, 51267, 50453, 50749, 50334, 50817, 50749, 50346, 52532, 52738, 54733, 52442, 51706, 56073, 52040, 52442, 51494, 52442, 54679, 50833, 51638, 52442, 52065, 52442, 51491, 52442, 50749, 50327, 50817, 69492, 52532, 51467, 69510, 50749, 50329, 50817, 71023, 52532, 50811, 52308, 50276, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 50898, 50803, 53878, 51072, 50417, 72010, 50817, 67062, 52532, 53227, 54679, 50833, 50749, 50327, 50817, 69492, 52532, 51539, 64367, 50749, 50322, 50817, 50749, 50334, 52532, 52968, 54679, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 54948, 51880, 51300, 53878, 51267, 53649, 52667, 54679, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 51464, 66129, 72010, 50817, 67062, 52532, 52952, 54679, 50833, 50749, 50327, 50817, 69492, 52532, 50898, 60731, 77385, 50749, 50334, 50817, 50749, 50346, 52532, 53239, 54679, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 51750, 70853, 50749, 50327, 50817, 69492, 52532, 52768, 54679, 50833, 50749, 50329, 50817, 71023, 52532, 54948, 51880, 51029, 53878, 51267, 50453, 50749, 50334, 50817, 50749, 50346, 52532, 52738, 54679, 50833, 72010, 50817, 67062, 52532, 51467, 69510, 50749, 50327, 50817, 69492, 52532, 50811, 69935, 53435, 52040, 51795, 51232, 51795, 51494, 51795, 51512, 51795, 52645, 50833, 52065, 51795, 51301, 51795, 51491, 51795, 51375, 51795, 50749, 50320, 50817, 66025, 52532, 50898, 50803, 53878, 51072, 50417, 72010, 50817, 67062, 52532, 53227, 52645, 50833, 50749, 50327, 50817, 69492, 52532, 51539, 64367, 50749, 50320, 50817, 66025, 52532, 52968, 52645, 50833, 66025, 50817, 68446, 52532, 54948, 52084, 51029, 53878, 51267, 53649, 52667, 52645, 50833, 50749, 50320, 50817, 66025, 52532, 51464, 66129, 72010, 50817, 67062, 52532, 52952, 52645, 50833, 50749, 50327, 50817, 69492, 52532, 50898, 50803, 53878, 77385, 66025, 50817, 68446, 52532, 53239, 52645, 50833, 66025, 50817, 68446, 52532, 51750, 70853, 50749, 50322, 50817, 50749, 50334, 52532, 52768, 52645, 50833, 50749, 50327, 50817, 69492, 52532, 54948, 51880, 51300, 53878, 51267, 50453, 50749, 50334, 50817, 50749, 50346, 52532, 52738, 53483, 51407, 51847, 51407, 51561, 50803, 51494, 51407, 51429, 51407, 52811, 50833, 52065, 51407, 51794, 51407, 51491, 51407, 72010, 50817, 67062, 52532, 51467, 69510, 50749, 50327, 50817, 69492, 52532, 50811, 70962, 50833, 50749, 50320, 50817, 66025, 52532, 50898, 50803, 53878, 51072, 50417, 50749, 50327, 50817, 69492, 52532, 53227, 53311, 50833, 50749, 50329, 50817, 71023, 52532, 51539, 64367, 50749, 50322, 50817, 50749, 50334, 52532, 52968, 53311, 50833, 66025, 50817, 68446, 52532, 54948, 51880, 51300, 53878, 51267, 53649, 52667, 53311, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 51464, 66129, 50749, 50327, 50817, 69492, 52532, 52952, 56686, 51196, 51706, 51009, 51847, 51009, 51494, 51009, 53311, 50833, 51638, 51009, 51794, 51009, 51491, 51009, 50749, 50329, 50817, 71023, 52532, 50898, 50803, 53878, 51072, 50440, 53842, 50441, 50749, 50334, 50817, 50749, 50346, 52532, 51239, 67762, 50791, 62232, 53311, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 51750, 50971, 55894, 60571, 50749, 50327, 50817, 69492, 52532, 51156, 61495, 68372, 53149, 50833, 50749, 50329, 50817, 71023, 52532, 54948, 51625, 50823, 53878, 51267, 50453, 50749, 50334, 50817, 50749, 50346, 52532, 52738, 53149, 50833, 72010, 50817, 67062, 52532, 54563, 59426, 50749, 50327, 50817, 69492, 52532, 50811, 50799, 52649, 51795, 53483, 51795, 52040, 51795, 51561, 51795, 54471, 50833, 52065, 51795, 51426, 51795, 51491, 51795, 50749, 50322, 50817, 50749, 50334, 52532, 50898, 50803, 53878, 51072, 50417, 50749, 50327, 50817, 69492, 52532, 53227, 54471, 50833, 50749, 50329, 50817, 71023, 52532, 51539, 64367, 50749, 50322, 50817, 50749, 50334, 52532, 52968, 54471, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 54948, 52084, 51029, 53878, 51267, 53649, 52667, 54471, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 51464, 66129, 50749, 50327, 50817, 69492, 52532, 52952, 54471, 50833, 57890, 50795, 50751, 50351, 51074, 50749, 50329, 50817, 71023, 52532, 50898, 50803, 53878, 77385, 50749, 50334, 50817, 50749, 50346, 52532, 53239, 54471, 50833, 62280, 50795, 50751, 50353, 51074, 50749, 50334, 50817, 50749, 50346, 52532, 51750, 70853, 50749, 50322, 50817, 50749, 50334, 52532, 52768, 54471, 50833, 61502, 50795, 50751, 50355, 51074, 50749, 50329, 50817, 71023, 52532, 54948, 51880, 51029, 53878, 51267, 50453, 50749, 50334, 50817, 50749, 50346, 52532, 52738, 54733, 52442, 51706, 56073, 52040, 52442, 51494, 52442, 54679, 50833, 72720, 50983, 51638, 52442, 52065, 52442, 51491, 52442, 50749, 50327, 50817, 69492, 52532, 51467, 69510, 50749, 50329, 50817, 71023, 52532, 50811, 52308, 50276, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 50898, 50803, 53878, 51072, 50417, 72010, 50817, 67062, 52532, 53227, 54679, 50833, 50749, 50327, 50817, 69492, 52532, 51539, 64367, 50749, 50322, 50817, 50749, 50334, 52532, 52968, 54679, 50833, 61502, 50807, 50751, 50355, 51333, 50749, 50334, 50817, 50749, 50346, 52532, 54948, 51880, 51300, 53878, 51267, 53649, 52667, 54679, 50833, 50749, 50322, 50817, 50749, 50334, 52532, 51464, 66129, 72010, 50817, 67062, 52532, 52952, 54679, 50833, 62280, 50807, 50751, 50353, 51333, 50749, 50327, 50817, 69492, 52532, 50898, 60731, 77385, 50749, 50334, 50817, 50749, 50346, 52532, 53239, 54679, 50833, 50749, 50334, 50817, 50749, 50346, 52532, 51750, 70853, 50749, 50327, 50817, 69492, 52532, 52768, 54679, 50833, 61502, 50795, 50751, 50355, 51074, 50749, 50329, 50817, 71023, 52532, 54948, 51880, 51029, 53878, 51267, 50453, 50749, 50334, 50817, 50749, 50346, 52532, 52738, 54679, 50833, 57890, 51358, 50751, 50351, 52980, 72010, 50817, 67062, 52532, 54563, 56132, 50749, 50327, 50817, 69492, 52532, 50811, 69935, 53435, 52040, 51795, 51232, 51795, 51494, 51795, 51512, 51795, 52645, 50833, 52065, 51795, 51301, 51795, 51491, 51795, 51375, 51795, 50749, 50320, 50817, 66025, 52532, 50898, 50803, 53878, 51072, 50417, 72010, 50817, 67062, 52532, 53227, 52645, 50833, 50749, 50327, 50817, 69492, 52532, 51539, 64367, 50749, 50320, 50817, 66025, 52532, 52968, 52645, 50833, 66025 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 19, 10, 25306, 619, 6, 4246, 10, 5540, 13305, 816, 10, 15352, 30054, 2125, 11, 381, 3694, 23, 10, 1769, 20889, 6, 7630, 14805, 10, 2933, 8, 3722, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 58402, 50877, 52045, 50796, 58783, 51646, 50877, 51918, 50973, 51798, 50876, 51923, 50902, 50795, 57289, 52045, 50796, 63174, 51646, 50968, 51918, 50902, 51798, 50876, 50807, 57844, 57345, 50876, 51036, 50796, 63174, 51646, 50968, 51918, 50902, 51798, 50876, 50807, 57844, 57345, 50876, 51036, 50796, 58783, 51646, 50902, 51918, 50876, 51798, 50973, 50807, 54852, 52045, 50796, 58783, 51646, 50877, 51918, 50973, 51798, 50876, 51923, 50902, 50795, 57289, 52045, 50796, 63174, 51646, 50951, 51918, 50902, 51798, 50876, 50807, 57844, 57345, 50876, 51036, 50796, 63174, 51646, 50951, 51918, 50902, 51798, 50876, 50807, 55331, 57345, 50968, 51036, 50796, 58783, 51646, 50902, 51918, 50876, 51798, 50973, 50807, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 8787, 5175, 15229, 19, 25771, 4785, 6, 42, 2125, 16, 17407, 30, 63, 15352, 30054, 8, 980, 219, 5466, 6, 7630, 14805, 10, 1472, 9, 26545, 8, 3366, 6601, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 30853, 23, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 20, 10320, 1258, 1575, 10, 11739, 9, 13305, 6, 38668, 22052, 6, 6755, 12547, 6, 21072, 6, 8, 486, 118, 9877, 483, 6, 2351, 10, 4066, 8, 24111, 2369, 18795, 4, 13231, 5, 2125, 6, 5, 33215, 16739, 25935, 1626, 227, 230, 119, 406, 8, 163, 428, 6, 1271, 7, 63, 5679, 26709, 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 ]
[ 56103, 50799, 66839, 50862, 66839, 50844, 51917, 50981, 52031, 52369, 51495, 51003, 51546, 51692, 50832, 59430, 56933, 58417, 50887, 58417, 54351, 66839, 50904, 66839, 50851, 51674, 51680, 51281, 51790, 50423, 58417, 50904, 58417, 53220, 55594, 50887, 55594, 50859, 51772, 52980, 51341, 51790, 52013, 51949, 56609, 58417, 50887, 58417, 53974, 55594, 50864, 55594, 50827, 55668, 50810, 51451, 51145, 51334, 51077, 51118, 51183, 51092, 51183, 51848, 54483, 58417, 50864, 58417, 50827, 53283, 52729, 55594, 51126, 55594, 51123, 55087, 53187, 60495, 50982, 51793, 53905, 58417, 51126, 58417, 51123, 53283, 52597, 55594, 51319, 55594, 51252, 55087, 50827, 51793, 54914, 58417, 51319, 58417, 51252, 53283, 52989, 53787, 50862, 59059, 50808, 55087, 50907, 51674, 51242, 51281, 51177, 71087, 51793, 64364, 59059, 50840, 52998, 50808, 53283, 55346, 52998, 50809, 55594, 53626, 50324, 51022, 51793, 68430, 55594, 50887, 61279, 50859, 53283, 51022, 50799, 66839, 50887, 66839, 50844, 51917, 50981, 52031, 52369, 51495, 51003, 51546, 51692, 50832, 59430, 55221, 58417, 50887, 58417, 54351, 66839, 50904, 66839, 50851, 51674, 51680, 51281, 51790, 50423, 58417, 50904, 58417, 53220, 55594, 50887, 55594, 50859, 51772, 52980, 51341, 51790, 52013, 51792, 56609, 58417, 50887, 58417, 53974, 55594, 50864, 55594, 50827, 55668, 50810, 51451, 51145, 51334, 51077, 51118, 51183, 51092, 51183, 51848, 54483, 58417, 50864, 58417, 50827, 53283, 52729, 55594, 51126, 55594, 51123, 55087, 53187, 60495, 50982, 51793, 53905, 58417, 51126, 58417, 51123, 53283, 52597, 55594, 51319, 55594, 51252, 55087, 50827, 51793, 54914, 58417, 51319, 58417, 51252, 53283, 52989, 53787, 50840, 59059, 50808, 55087, 50907, 51674, 51242, 51281, 51177, 50832, 51004, 51793, 64364, 59059, 50840, 52998, 50808, 53283, 55346, 52998, 50809, 55594, 53626, 50324, 51022, 51793, 68430, 55594, 50887, 61279, 50859, 53283, 51022, 50799, 66899, 50836, 66899, 50912, 52000, 50981, 51674, 51552, 51557, 50915, 51281, 51761, 50832, 59430, 56933, 62191, 50836, 62191, 55869, 66899, 51126, 66899, 51123, 51772, 51680, 51341, 51803, 50423, 62191, 51126, 62191, 57252, 61279, 50887, 61279, 50859, 52000, 51387, 51557, 51166, 52013, 51949, 56609, 62191, 50887, 62191, 53974, 61279, 50971, 61279, 50907, 54505, 50810, 52000, 51145, 51209, 51077, 51557, 51047, 51020, 50918, 51848, 54483, 62191, 50971, 62191, 50907, 53787, 52729, 61279, 51319, 61279, 51252, 55668, 53187, 60495, 50982, 51793, 53905, 62191, 51319, 62191, 51252, 53787, 52597, 61279, 52835, 61279, 52462, 55668, 50827, 51793, 54914, 62191, 52835, 62191, 52462, 53787, 52989, 59059, 50840, 59059, 50808, 55668, 50984, 51772, 51242, 51341, 51212, 71087, 51793, 64364, 52998, 50840, 52998, 50808, 53787, 56838, 55594, 50809, 55594, 53626, 50323, 51269, 51793, 68430, 61279, 50887, 61279, 50859, 53787, 51269, 50799, 66899, 50836, 66899, 50912, 52000, 50981, 51674, 51552, 51557, 50915, 51281, 51761, 50832, 59430, 55221, 62191, 50836, 62191, 55869, 66899, 51126, 66899, 51123, 51772, 51680, 51341, 51803, 50423, 62191, 51126, 62191, 57252, 61279, 50887, 61279, 50859, 52000, 51387, 51557, 51166, 52013, 51792, 56609, 62191, 50887, 62191, 53974, 61279, 50971, 61279, 50907, 54505, 50810, 52000, 51145, 51209, 51077, 51557, 51047, 51020, 50918, 51848, 54483, 62191, 50971, 62191, 50907, 53787, 52729, 61279, 51319, 61279, 51252, 55668, 53187, 60495, 50982, 51793, 53905, 62191, 51319, 62191, 51252, 53787, 52597, 61279, 52835, 61279, 52462, 55668, 50827, 51793, 54914, 62191, 52835, 62191, 52462, 53787, 52989, 59059, 50840, 59059, 50808, 55668, 50984, 51772, 51242, 51341, 51212, 50832, 51004, 51793, 64364, 52998, 50840, 52998, 50808, 53787, 56838, 55594, 50809, 55594, 53626, 50323, 51269, 51793, 68430, 61279, 50887, 61279, 50859, 53787, 51269, 50799, 66839, 50862, 66839, 50844, 51917, 50981, 52031, 52369, 51495, 51003, 51546, 51692, 50832, 59430, 56933, 58417, 50887, 58417, 54351, 66839, 50904, 66839, 50851, 51674, 51680, 51281, 51790, 50423, 58417, 50904, 58417, 53220, 55594, 50887, 55594, 50859, 51772, 52980, 51341, 51790, 52013, 51949, 56609, 58417, 50887, 58417, 53974, 55594, 50864, 55594, 50827, 55668, 50810, 51451, 51145, 51334, 51077, 51118, 51183, 51092, 51183, 51848, 54483, 58417, 50864, 58417, 50827, 53283, 52729, 55594, 51126, 55594, 51123, 55087, 53187, 60495, 50982, 51793, 53905, 58417, 51126, 58417, 51123, 53283, 52597, 55594, 51319, 55594, 51252, 55087, 50827, 51793, 54914, 58417, 51319, 58417, 51252, 53283, 52989, 53787, 50862, 59059, 50808, 55087, 50907, 51674, 51242, 51281, 51177, 71087, 51793, 64364, 59059, 50840, 52998, 50808, 53283, 55346, 52998, 50809, 55594, 53626, 50324, 51022, 51793, 68430, 55594, 50887, 61279, 50859, 53283, 51022, 50799, 66839, 50887, 66839, 50844, 51917, 50981, 52031, 52369, 51495, 51003, 51546, 51692, 50832, 59430, 55221, 58417, 50887, 58417, 54351, 66839, 50904, 66839, 50851, 51674, 51680, 51281, 51790, 50423, 58417, 50904, 58417, 53220, 55594, 50887, 55594, 50859, 51772, 52980, 51341, 51790, 52013, 51792, 56609, 58417, 50887, 58417, 53974, 55594, 50864, 55594, 50827, 55668, 50810, 51451, 51145, 51334, 51077, 51118, 51183, 51092, 51183, 51848, 54483, 58417, 50864, 58417, 50827, 53283, 52729, 55594, 51126, 55594, 51123, 55087, 53187, 60495, 50982, 51793, 53905, 58417, 51126, 58417, 51123, 53283, 52597, 55594, 51319, 55594, 51252, 55087, 50827, 51793, 54914, 58417, 51319, 58417, 51252, 53283, 52989, 53787, 50840, 59059, 50808, 55087, 50907, 51674, 51242, 51281, 51177, 50832, 51004, 51793, 64364, 59059, 50840, 52998, 50808, 53283, 55346, 52998, 50809, 55594, 53626, 50324, 51022, 51793, 68430, 55594, 50887, 61279, 50859, 53283, 51022, 50799, 66899, 50836, 66899, 50912, 52000, 50981, 51674, 51552, 51557, 50915, 51281, 51761, 50832, 59430, 56933, 62191, 50836, 62191, 55869, 66899, 51126, 66899, 51123, 51772, 51680, 51341, 51803, 50423, 62191, 51126, 62191, 57252, 61279, 50887, 61279, 50859, 52000, 51387, 51557, 51166, 52013, 51949, 56609, 62191, 50887, 62191, 53974, 61279, 50971, 61279, 50907, 54505, 50810, 52000, 51145, 51209, 51077, 51557, 51047, 51020, 50918, 51848, 54483, 62191, 50971, 62191, 50907, 53787, 52729, 61279, 51319, 61279, 51252, 55668, 53187, 60495, 50982, 51793, 53905, 62191, 51319, 62191, 51252, 53787, 52597, 61279, 52835, 61279, 52462, 55668, 50827, 51793, 54914, 62191, 52835, 62191, 52462, 53787, 52989, 59059, 50840, 59059, 50808, 55668, 50984, 51772, 51242, 51341, 51212, 71087, 51793, 64364, 52998, 50840, 52998, 50808, 53787, 56838, 55594, 50809, 55594, 53626, 50323, 51269, 51793, 68430, 61279, 50887, 61279, 50859, 53787, 51269, 50799, 66899, 50836, 66899, 50912, 52000, 50981, 51674, 51552, 51557, 50915, 51281, 51761, 50832, 59430, 55221, 62191, 50836, 62191, 55869, 66899, 51126, 66899, 51123, 51772, 51680, 51341, 51803, 50423, 62191, 51126, 62191, 57252, 61279, 50887, 61279, 50859, 52000, 51387, 51557, 51166, 52013, 51792, 56609, 62191, 50887, 62191, 53974, 61279, 50971, 61279, 50907, 54505, 50810, 52000, 51145, 51209, 51077, 51557, 51047, 51020, 50918, 51848, 54483, 62191, 50971, 62191, 50907, 53787, 52729, 61279, 51319, 61279, 51252, 55668, 53187, 60495, 50982, 51793, 53905, 62191, 51319, 62191, 51252, 53787, 52597, 61279, 52835, 61279 ]
[ 0, 713, 765, 5175, 3495, 2214, 22750, 1626, 11098, 8, 10563, 6, 1969, 13, 2365, 50, 6548, 38270, 4, 590, 10, 1769, 20889, 9, 18918, 163, 5683, 11, 204, 73, 306, 86, 6, 24, 1575, 10, 20902, 11739, 9, 31391, 1672, 9590, 6, 32909, 6, 21072, 6, 8, 36075, 8669, 4, 8504, 11, 5, 762, 9, 272, 3694, 6, 5, 33301, 25780, 81, 10, 33215, 16739, 9, 12608, 6, 211, 6, 8, 272, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 63515, 51272, 50300, 51520, 61903, 51849, 52597, 65242, 51849, 52848, 51641, 54565, 52001, 52163, 65242, 51849, 50812, 67719, 50824, 55298, 69834, 52244, 50798, 61903, 51849, 52710, 51641, 50824, 54785, 52409, 52001, 52119, 65242, 51849, 52841, 51485, 50824, 52993, 69834, 61020, 52597, 50843, 61020, 52848, 52298, 50824, 52993, 52409, 52001, 52163, 50843, 61020, 50812, 63355, 50802, 52584, 69834, 52244, 51485, 52299, 52001, 61020, 52710, 52993, 52409, 52001, 52119, 51641, 52299, 52001, 61020, 50812, 54908, 51520, 61903, 51634, 52597, 51485, 51029, 65242, 51634, 50812, 51899, 52001, 52163, 65242, 51634, 50812, 63355, 50802, 51526, 69834, 52244, 51641, 57520, 61903, 51634, 52710, 51416, 52409, 52001, 52119, 65242, 51634, 52841, 51509, 50802, 51526, 51520, 61903, 51843, 52597, 51641, 51029, 65242, 51843, 50812, 51899, 52001, 52163, 65242, 51843, 50812, 64934, 50824, 52584, 69834, 52244, 50798, 61903, 51843, 52710, 51723, 50824, 52993, 52409, 61903, 51974, 61901, 51843, 52841, 52211, 50824, 54785, 51520, 61903, 51849, 52597, 65242, 51849, 52848, 51641, 54565, 52001, 52163, 65242, 51849, 50812, 64934, 50802, 55298, 69834, 52244, 51641, 57520, 61903, 51849, 52710, 54785, 52409, 52001, 52119, 65242, 51849, 52841, 51485, 51029, 52993, 69834, 61020, 52597, 50843, 61020, 52848, 52993, 52409, 52001, 52163, 52298, 55940, 61020, 50812, 71596, 69834, 52244, 51431, 52299, 52001, 61020, 52710, 52993, 52409, 52001, 52119, 51485, 51599, 52001, 61020, 52841, 51431, 51184, 51416, 51520, 61903, 51634, 52597, 51416, 50803, 51634, 52848, 50843, 52163, 51526, 61903, 51843, 50812, 54920, 52409, 61903, 51634, 52710, 51526, 61903, 51843, 50812, 51974, 50803, 54908, 51520, 61903, 51634, 52597, 51416, 50803, 51634, 52848, 50798, 52001, 52163, 51526, 61903, 51843, 50812, 54920, 52409, 61903, 51634, 52871, 50798, 51973, 51526, 61903, 51843, 50812, 54908, 51520, 61903, 51634, 52597, 51416, 50803, 51634, 52848, 50843, 52163, 51526, 61903, 51843, 50812, 54920, 52409, 61903, 51634, 52710, 51526, 61903, 51843, 50812, 51974, 50803, 54908, 51520, 61903, 51634, 52597, 51416, 61903, 51634, 52848, 50798, 52001, 52163, 51526, 50803, 51843, 50812, 54920, 52409, 61903, 51634, 52871, 51684, 51520, 51973, 52585, 52409, 61903, 51843, 55658, 50816, 50803, 51974, 61901, 51272, 50300, 51520, 61903, 51849, 52597, 65242, 51849, 52848, 51641, 54565, 52001, 52163, 65242, 51849, 50812, 67719, 50824, 55298, 69834, 52244, 50798, 61903, 51849, 52710, 51641, 50824, 54785, 52409, 52001, 52119, 65242, 51849, 52841, 51485, 50824, 52993, 69834, 61020, 52597, 50843, 61020, 52848, 52298, 50824, 52993, 52409, 52001, 52163, 50843, 61020, 50812, 63355, 50802, 52584, 69834, 52244, 51485, 52299, 52001, 61020, 52710, 52993, 52409, 52001, 52119, 51641, 52299, 52001, 61020, 50812, 54908, 51520, 61903, 51634, 52597, 51485, 51029, 65242, 51634, 50812, 51899, 52001, 52163, 65242, 51634, 50812, 63355, 50802, 51526, 69834, 52244, 51641, 57520, 61903, 51634, 52710, 51416, 52409, 52001, 52119, 65242, 51634, 52841, 51509, 50802, 51526, 51520, 61903, 51843, 52597, 51641, 51029, 65242, 51843, 50812, 51899, 52001, 52163, 65242, 51843, 50812, 64934, 50824, 52584, 69834, 52244, 50798, 61903, 51843, 52710, 51723, 50824, 52993, 52409, 61903, 51974, 61901, 51843, 52841, 52211, 50824, 54785, 51520, 61903, 51849, 52597, 65242, 51849, 52848, 51641, 54565, 52001, 52163, 65242, 51849, 50812, 64934, 50802, 55298, 69834, 52244, 51641, 57520, 61903, 51849, 52710, 54785, 52409, 52001, 52119, 65242, 51849, 52841, 51485, 51029, 52993, 69834, 61020, 52597, 50843, 61020, 52848, 52993, 52409, 52001, 52163, 52298, 55940, 61020, 50812, 71596, 69834, 52244, 51431, 52299, 52001, 61020, 52710, 52993, 52409, 52001, 52119, 51485, 51599, 52001, 61020, 52841, 51431, 51184, 51416, 51520, 61903, 51634, 52597, 51416, 50803, 51634, 52848, 50843, 52163, 51526, 61903, 51843, 50812, 54920, 52409, 61903, 51634, 52710, 51526, 61903, 51843, 50812, 51974, 50803, 54908, 51520, 61903, 51634, 52597, 51416, 50803, 51634, 52848, 50798, 52001, 52163, 51526, 61903, 51843, 50812, 54920, 52409, 61903, 51634, 52871, 50798, 51973, 51526, 61903, 51843, 50812, 54908, 51520, 61903, 51634, 52597, 51416, 50803, 51634, 52848, 50843, 52163, 51526, 61903, 51843, 50812, 54920, 52409, 61903, 51634, 52710, 51526, 61903, 51843, 50812, 51974, 50803, 54908, 51520, 61903, 51634, 52284, 51416, 52409, 50803, 51634, 52116, 51526, 52409, 61901, 51843, 52163, 51416, 51520, 61903, 51634, 50803, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 20902, 8, 17627, 17274, 5175, 19834, 2125, 6, 4246, 13305, 6, 10170, 1499, 6, 21979, 9590, 6, 1893, 43639, 6, 8, 17465, 102, 6, 7630, 14805, 10, 32076, 8, 12298, 6711, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 1769, 12, 20764, 2214, 29769, 198, 5, 33215, 16739, 9, 230, 6, 381, 406, 6, 274, 6, 230, 406, 6, 8, 272, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 50799, 50643, 53975, 51454, 50876, 51454, 53862, 51055, 51531, 51073, 51150, 78905, 50949, 53523, 51454, 50876, 51454, 53862, 51055, 51531, 51073, 51150, 78905, 54968, 51247, 52097, 51050, 52097, 50871, 52097, 50877, 52097, 50931, 52097, 54157, 51285, 52498, 51472, 51873, 51472, 51691, 51472, 51140, 51285, 54768, 50883, 55258, 50883, 53526, 50883, 51382, 50883, 55350, 50883, 54124, 50883, 54197, 52097, 50900, 52097, 50871, 52097, 50877, 52097, 50931, 52097, 54157, 51285, 52498, 51472, 51873, 51472, 51691, 51472, 51140, 51285, 54768, 50883, 57493, 50883, 53951, 50883, 51302, 50883, 57096, 50883, 53924, 65925, 51279, 51196, 50437, 51315, 74532, 51040, 51285, 50861, 53435, 50877, 53435, 50968, 53435, 55823, 50821, 51994, 52392, 51873, 52392, 51908, 52392, 52419, 51285, 54768, 56561, 63895, 54157, 62888, 55823, 53153, 54157, 52997, 61807, 55823, 50921, 56871, 61765, 54157, 50821, 56310, 51285, 51040, 51285, 50916, 51285, 55823, 50821, 51216, 51285, 54768, 62740, 54157, 50921, 55207, 59013, 55823, 50821, 53327, 53087, 54157, 52997, 61426, 55823, 56764, 59382, 54157, 52997, 53294, 50899, 51055, 61386, 66459, 51234, 51285, 50997, 51285, 54163, 51055, 53342, 51157, 51988, 51157, 51666, 51157, 52157, 51285, 54768, 53711, 50916, 51055, 60240, 50968, 51055, 55823, 51055, 52619, 51157, 51531, 51157, 51908, 60503, 53563, 50804, 50883, 54578, 51055, 66459, 70893, 50997, 51285, 50899, 51285, 54157, 51055, 52498, 51157, 51666, 51157, 51691, 51157, 51261, 51285, 54768, 53087, 50899, 51055, 61386, 66459, 54163, 51055, 53342, 51157, 51988, 51157, 51666, 60503, 52975, 50804, 53294, 51247, 51285, 51050, 51285, 50900, 51285, 50877, 51285, 50876, 51285, 53862, 51285, 53653, 51446, 51873, 51446, 51531, 51446, 51140, 51285, 51897, 50883, 52320, 50883, 54852, 51055, 51378, 51285, 50900, 51285, 50956, 51285, 54377, 51055, 54520, 51446, 51873, 51157, 51705, 51285, 54074, 53087, 61386, 54899, 51055, 51988, 51157, 54074, 53294, 60240, 51026, 52500, 50997, 52500, 50916, 52500, 53862, 51055, 52619, 51991, 51531, 51157, 69278, 55525, 53711, 50900, 51055, 50906, 51285, 54899, 51285, 51988, 51446, 50791, 50883, 53997, 51055, 51461, 51055, 75680, 53087, 50900, 61563, 54067, 51055, 51994, 70504, 53294, 60240, 51026, 52500, 50997, 52500, 50916, 52500, 53862, 51055, 52619, 51991, 51531, 51157, 69278, 55525, 53711, 50900, 51055, 50906, 51285, 54899, 51055, 51988, 51446, 50791, 50883, 53997, 51055, 53862, 50821, 51461, 51055, 75680, 62740, 54163, 62991, 55823, 52422, 50900, 61563, 54515, 51055, 51994, 70504, 53294, 51247, 51055, 51085, 51055, 51027, 62020, 63187, 54157, 51055, 53653, 51157, 52498, 51157, 51140, 51055, 75680, 53711, 50900, 62392, 50936, 54922, 50936, 51531, 50938, 51150, 50936, 54074, 53563, 50900, 62392, 50936, 54922, 50936, 51531, 50938, 51150, 55404, 52586, 50883, 53975, 51055, 60240, 54922, 51055, 51531, 51157, 74320, 54074, 53087, 50900, 51055, 60240, 54922, 51055, 51531, 51157, 74320, 54074, 53294, 50900, 51055, 60240, 54922, 51055, 51531, 51157, 74320, 54768, 56561, 50883, 79705, 70148, 64217, 51873, 51056, 51531, 68106, 54812, 63882, 70148, 51073, 52498, 51056, 51873, 67272, 53250, 51472, 51247, 70148, 51472, 50876, 51472, 51873, 51417, 51531, 51417, 51140, 51073, 52455, 53409, 51085, 51073, 51150, 68760, 50884, 79705, 70148, 64217, 51050, 51472, 50900, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51472, 51247, 70148, 51472, 50876, 51472, 51873, 51417, 51531, 51417, 51140, 51073, 52455, 53409, 51085, 51073, 51150, 68760, 50884, 79705, 70148, 64217, 51050, 51472, 50900, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51073, 51247, 64217, 50877, 51472, 51873, 51417, 51531, 51056, 51140, 51073, 52455, 53409, 53077, 51073, 51085, 73642, 51073, 51666, 51056, 51150, 68760, 50884, 79705, 65815, 70148, 64217, 51050, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 64209, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51472, 51247, 70148, 51472, 50876, 51472, 51873, 51417, 51531, 51417, 51140, 51073, 52455, 53409, 51085, 51073, 51150, 68760, 50884, 50799, 54812, 70148, 51073, 51050, 51472, 50899, 51472, 50871, 51472, 52498, 51417, 51873, 51056, 51793, 51472, 54001, 53150, 54414, 66562, 51073, 51988, 59961, 53418, 53250, 64217, 51026, 52392, 50997, 52392, 50916, 52392, 52619, 51945, 51531, 51056, 51098, 51073, 52455, 53409, 54414, 51472, 50900, 66562, 51472, 51988, 51417, 50791, 50884, 53997, 51073, 51461, 51073, 54001, 53150, 55062, 65815, 61928, 51073, 51994, 59961, 53418, 53250, 64217, 51026, 52392, 50997, 52392, 50916, 52392, 52619, 51945, 51531, 51056, 51098, 51073, 52455, 53409, 54414, 51472, 50900, 66562, 51472, 51988, 51417, 50791, 50884, 53997, 51073, 51461, 51073, 54001, 53150, 55062, 65815, 61928, 51073, 51994, 59961, 53418, 56587, 51655, 51050, 51472, 50871, 51655, 56101, 50924, 52498, 51359, 51793, 51472, 52455, 53806, 54157, 58138, 50877, 64217, 54515, 50924, 51873, 51056, 51531, 59961, 53685, 54157, 50924, 53997, 51472, 56101, 50924, 51150, 51472, 54001, 53829, 54922, 50924, 56207, 51472, 50876, 51472, 56186, 50924, 51873, 51417, 51531, 51417, 50791, 53230, 59367, 54593, 53418, 51247, 51073, 57738, 51073, 51140, 51073, 58046, 57560, 53409, 51085, 51073, 51216, 68760, 50884, 79705, 70148, 64217, 51050, 51472, 50900, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51472, 51247, 70148, 51472, 50876, 51472, 51873, 51417, 51531, 51417, 51140, 51073, 52455, 53409, 51085, 51073, 51216, 68760, 50884, 79705, 70148, 64217, 51050, 51472, 50900, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51472, 51247, 70148, 51472, 50876, 51472, 51873, 51417, 51531, 51417, 51140, 51073, 52455, 53409, 51085, 51073, 51150, 68760, 50884, 79705, 70148, 64217, 51050, 51472, 50900, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51073, 51247, 64217, 50877, 51472, 51873, 51417, 51531, 51056, 51140, 51073, 52455, 53409, 53077, 51073, 51085, 73642, 51073, 51666, 51056, 51216, 68760, 50884, 79705, 65815, 70148, 64217, 51050, 51472, 51873, 51056, 51531, 51056, 51793, 51472, 54001, 53150, 54812, 64209, 63882, 70148, 51073, 52498, 51056, 51873, 59961, 53418, 53250, 51472, 51247, 70148, 51472, 50876, 51472, 51873, 51417, 51531, 51417, 51140, 51073, 52455, 53409, 51085, 51073, 51150, 68760, 50884, 50799, 54812, 70148, 51073, 51378, 51472, 50900, 51472, 50956, 51472, 54520, 51417, 51873, 51056, 53262, 51472, 54001, 53150, 54414, 66562, 51073, 51988, 59961, 53418, 53250, 64217, 51026, 52392, 50997, 52392, 50916, 52392, 52619, 51945, 51531, 51056, 52078, 51073, 52455, 53409, 54414, 51472, 50900, 66562, 51472, 51988, 51417, 50791, 50884, 53997, 51073, 51150, 51073, 54001, 53150, 55062, 65815, 61928, 51073, 51994, 59961, 53418, 53250, 64217, 51026, 52392, 50997, 52392, 50916, 52392, 52619, 51945, 51531, 51056, 52078, 51073, 52455 ]
[ 0, 713, 15352, 30054, 5175, 2214, 6, 19, 10, 2842, 9, 3495, 6, 7630, 6568, 10, 19448, 8, 5679, 26709, 1619, 16464, 4, 85, 1575, 41, 3459, 9590, 6, 21072, 6, 38668, 3038, 6, 8, 258, 2382, 8, 81, 9756, 3459, 29589, 4, 20, 2125, 16, 11, 5, 762, 9, 163, 428, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 178, 5285, 20889, 4, 13231, 5, 2214, 6, 5, 33215, 16739, 9, 274, 6, 163, 43531, 1176, 406, 6, 274, 6, 211, 119, 6, 8, 12608, 16, 5705, 6636, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51762, 51544, 52621, 51471, 54662, 51141, 50902, 51307, 50931, 51307, 51081, 51307, 50432, 51234, 51623, 50450, 51889, 53685, 51070, 53736, 51070, 50818, 61504, 51141, 50902, 51307, 50951, 51307, 51081, 51307, 51070, 50839, 55483, 53070, 51070, 54951, 63387, 52389, 55649, 52046, 51623, 52320, 50817, 54662, 51141, 50902, 51307, 50931, 51307, 51081, 51307, 50432, 51234, 51623, 50450, 51889, 53685, 51070, 53736, 51070, 50818, 61504, 51141, 50902, 51307, 50951, 51307, 51081, 51307, 51070, 50839, 55483, 53070, 51070, 54951, 63387, 52389, 55649, 52046, 51623, 52320, 50817, 54662, 51141, 51081, 51413, 50931, 51894, 50902, 51307, 50432, 51214, 51623, 50951, 51591, 50450, 51889, 53685, 51070, 53736, 51070, 50818, 58439, 51141, 50876, 51307, 51001, 51307, 51147, 51307, 51070, 50839, 55483, 53070, 51070, 54951, 63387, 52389, 55649, 51503, 51623, 52320, 50817, 54662, 51141, 51081, 51189, 50931, 51307, 50902, 51307, 50432, 51234, 51623, 50999, 51591, 50450, 51889, 53685, 51070, 53736, 51070, 50818, 54734, 51141, 51001, 51307, 50951, 51307, 51081, 51307, 51070, 50839, 55483, 53070, 51070, 54951, 63387, 52389, 55649, 51247, 51623, 52320, 52193, 69302, 56229, 50808, 51234, 51141, 50902, 51307, 50931, 51307, 51081, 51307, 50791, 55265, 50951, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51234, 51623, 50435, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 51582, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 50951, 53791, 65160, 51759, 51625, 67151, 53736, 50931, 57427, 50818, 57923, 50808, 52046, 51141, 50902, 51307, 50951, 51307, 50791, 59751, 55926, 50951, 57427, 53070, 51081, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 52046, 51623, 51556, 50817, 51570, 64849, 50817, 52320, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 50832, 54412, 55498, 56229, 50808, 51234, 51141, 50902, 51307, 50931, 51307, 51081, 51307, 50791, 55265, 50951, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51234, 51623, 50435, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 51582, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 50951, 53791, 65160, 51759, 51625, 67151, 53736, 50931, 57427, 50818, 57923, 50808, 52046, 51141, 50902, 51307, 50951, 51307, 51081, 51307, 50791, 59751, 55926, 50951, 57427, 53070, 51081, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 52046, 51077, 51556, 50817, 51570, 64849, 50817, 52320, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 51214, 59561, 54412, 55498, 56229, 50808, 51234, 51141, 50902, 51189, 51081, 51189, 50931, 51307, 50791, 55265, 50951, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51214, 51623, 50902, 51591, 50951, 51591, 50435, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 51582, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 50951, 53791, 65160, 51759, 51625, 67151, 53736, 50931, 57427, 50818, 57923, 50808, 51503, 51141, 50876, 51307, 51001, 51307, 51147, 51307, 50791, 59751, 55926, 51147, 57427, 53070, 51062, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 51503, 51623, 51556, 50817, 51570, 64849, 50817, 52320, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 50832, 54412, 55498, 56229, 50808, 51234, 51141, 51081, 51189, 50902, 51894, 50931, 51894, 50791, 55265, 50951, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51234, 51077, 50999, 51591, 50435, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 51582, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 66736, 51085, 59561, 65160, 51759, 51625, 67151, 53736, 50931, 57427, 50818, 57923, 50808, 51247, 51141, 50906, 51307, 51001, 51307, 50951, 51307, 51081, 51307, 50791, 59751, 55926, 50951, 57427, 53070, 51081, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 51247, 51141, 51556, 50817, 51570, 64849, 52568, 51050, 52201, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 51247, 59561, 54412, 55498, 56229, 50808, 51234, 51141, 50906, 51307, 50902, 51307, 50931, 51307, 51081, 51307, 53422, 73290, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51234, 58673, 53785, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 52764, 56339, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 66736, 53492, 59561, 65160, 51759, 51625, 67151, 53736, 50931, 57427, 50818, 57923, 50808, 52046, 51141, 50906, 51307, 50902, 51307, 50951, 51307, 51320, 59751, 55926, 50951, 57427, 53070, 51081, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 52046, 51623, 55094, 51556, 50817, 51570, 64849, 69770, 56339, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 50832, 54412, 55498, 56229, 50808, 51234, 51141, 50906, 51307, 50902, 51307, 50931, 51307, 51081, 51307, 53422, 73290, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51234, 58673, 53785, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 52764, 56339, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 53492, 50808, 50951, 53791, 65160, 51759, 51625, 67151, 53736, 51799, 50808, 50931, 57427, 50818, 57923, 50808, 52046, 51141, 50906, 51307, 50902, 51307, 50951, 51307, 51320, 59751, 55926, 50951, 57427, 53070, 51081, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 52046, 51623, 55094, 51556, 50817, 51570, 64849, 69770, 56339, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 50832, 54412, 55498, 56229, 50808, 51234, 51141, 50931, 51413, 51081, 51413, 50906, 51307, 50902, 51307, 53422, 73290, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51214, 51623, 50951, 51591, 50798, 53785, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 52764, 56339, 55438, 64155, 51625, 51031, 79697, 52546, 50895, 52145, 51700, 50820, 56584, 52132, 61634, 50832, 53940, 54616, 50951, 53791, 65160, 51759, 51625, 67151, 53736, 50931, 57427, 50818, 57923, 50808, 51503, 51141, 50876, 51307, 51001, 51307, 51147, 51307, 51320, 59751, 55926, 51147, 57427, 53070, 51062, 57427, 50891, 51510, 52954, 54953, 51320, 52265, 51503, 51623, 55094, 51556, 50817, 51570, 64849, 69770, 56339, 50898, 55438, 64155, 53551, 59671, 50832, 52270, 74784, 52275, 50825, 56584, 52144, 61733, 50832, 52497, 54719, 50832, 54412, 55498, 56229, 50808, 51234, 51141, 51081, 51189, 50902, 51307, 50931, 51307, 53422, 73290, 52734, 79299, 51510, 52630, 51081, 51582, 52265, 66736, 51234, 51623, 50999, 51591, 50798, 53785, 50931, 51582, 50817, 51570, 54129, 50951, 52711, 51081, 51582, 52568, 51081, 52764, 56339 ]
[ 0, 250, 20902, 8, 17627, 17274, 3495, 2214, 4246, 10, 13305, 6, 6755, 12547, 6, 2236, 1021, 2678, 29, 6, 2382, 3459, 8669, 6, 8, 3459, 9590, 6, 70, 447, 561, 7, 1045, 10, 31612, 8, 11653, 5466, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 1769, 12, 20764, 1349, 29769, 198, 5, 33215, 16739, 9, 83, 406, 6, 211, 6, 272, 401, 6, 83, 406, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 50799, 50643, 54458, 50796, 52563, 51936, 50287, 50879, 54117, 50911, 51544, 52818, 58918, 51214, 50805, 54117, 58395, 51133, 52362, 50292, 50901, 51915, 56160, 61014, 51133, 52362, 50292, 50849, 51915, 50879, 56540, 74817, 50849, 51482, 50923, 51544, 52767, 51271, 52370, 50294, 50795, 51482, 56810, 51133, 50858, 51085, 50800, 51915, 54811, 51271, 51160, 51120, 51255, 51482, 59323, 71223, 51133, 52370, 50292, 50795, 51915, 50806, 52563, 51442, 50287, 50795, 54117, 50879, 51544, 52818, 50953, 51936, 50287, 50795, 54117, 55122, 51133, 53194, 50292, 50805, 51915, 55260, 51956, 50456, 51133, 53194, 50292, 50873, 51915, 50795, 56540, 51936, 50294, 50795, 51482, 50795, 51544, 53063, 51271, 52362, 50294, 50805, 51482, 55122, 51133, 50821, 51085, 50800, 51915, 50882, 62177, 52210, 51271, 52530, 50294, 50889, 51482, 52496, 71928, 51456, 53409, 51456, 70896, 51326, 52349, 51133, 51442, 50292, 50795, 51915, 56971, 50949, 52563, 52362, 50287, 50849, 54117, 50893, 52620, 62249, 63916, 50837, 74327, 50835, 52135, 57067, 58918, 51214, 50873, 54117, 50911, 52883, 50825, 51652, 54993, 51133, 52362, 50292, 50849, 51915, 50879, 52553, 50825, 51643, 51012, 51180, 50837, 51667, 50893, 51382, 51130, 53017, 51133, 51936, 50292, 50873, 51915, 50879, 52902, 50834, 56540, 50806, 51120, 50873, 51482, 50879, 52883, 50834, 51633, 50806, 76799, 52135, 50806, 74121, 50825, 51633, 52686, 51271, 52370, 50294, 50849, 51482, 52090, 51130, 50835, 51633, 51237, 67465, 50882, 51085, 50808, 51915, 51730, 51135, 53027, 51271, 52530, 50294, 50807, 51482, 51013, 51842, 51643, 50993, 51382, 51179, 53137, 51133, 51936, 50292, 50795, 51915, 52090, 51139, 50829, 52563, 53194, 50287, 50873, 54117, 50879, 52924, 60740, 50825, 51302, 72322, 52824, 57067, 58918, 51214, 50795, 54117, 50893, 52620, 50825, 52278, 56810, 51133, 52362, 50292, 50805, 51915, 50911, 52902, 50829, 51784, 50806, 51180, 50825, 52355, 50911, 51382, 51139, 53007, 70188, 51085, 50795, 51915, 50893, 52883, 50837, 56540, 52370, 50294, 50879, 51482, 50911, 52924, 50837, 51900, 50806, 68980, 52824, 50806, 74121, 50834, 51900, 56896, 51271, 50806, 51120, 50795, 51482, 51428, 72322, 51900, 53585, 51133, 50858, 51085, 50833, 51915, 53393, 51139, 52986, 51271, 53531, 50294, 50889, 51482, 51016, 51842, 51784, 51237, 51382, 51139, 53217, 51133, 52362, 50292, 50873, 51915, 50911, 53583, 50835, 51900, 50821, 52563, 51442, 50287, 50879, 54117, 50911, 52883, 63223, 50835, 51652, 50911, 51302, 51135, 50837, 52135, 56087, 50953, 51936, 50287, 50795, 54117, 51428, 51139, 50829, 51652, 63982, 70188, 51085, 50901, 51915, 52090, 51179, 50835, 51643, 51460, 51180, 50837, 51382, 51179, 53137, 51133, 51936, 50292, 50805, 51915, 50893, 52924, 50835, 56540, 52362, 50294, 50849, 51482, 51428, 51139, 50825, 51633, 51235, 51039, 53899, 52135, 50893, 80164, 56609, 51633, 51460, 50432, 51817, 53751, 50296, 58750, 51351, 50973, 51191, 50902, 51091, 50968, 51191, 51726, 51977, 52620, 50825, 73718, 50825, 52113, 56209, 72488, 52451, 50805, 51956, 52200, 55260, 51213, 52370, 50312, 51124, 50973, 51221, 50902, 51255, 50968, 51221, 54801, 54581, 51135, 50837, 52113, 51745, 50456, 51325, 50879, 52451, 50849, 52902, 50834, 53534, 51427, 51279, 51238, 50916, 51413, 50877, 51291, 51028, 51291, 54801, 50918, 52331, 51238, 52924, 60740, 50837, 51302, 51135, 50835, 52549, 60247, 51011, 52362, 50289, 50849, 52331, 50879, 52620, 50829, 52355, 63982, 51271, 52362, 50294, 59625, 51417, 79379, 50902, 51562, 52451, 51336, 51482, 50911, 52924, 50829, 51900, 51653, 51180, 50834, 51382, 51135, 53217, 51271, 52370, 50294, 50795, 51482, 52090, 51179, 50829, 53534, 52362, 50289, 59487, 50812, 61233, 63417, 54801, 51364, 52331, 52090, 51135, 50835, 52549, 52774, 67044, 51324, 57341, 50800, 57002, 74247, 53180, 50893, 51970, 52355, 52038, 52022, 51936, 50293, 61027, 50833, 61233, 79514, 52899, 52420, 51041, 50825, 52549, 57067, 51271, 52530, 50294, 74127, 60015, 64424, 51003, 52451, 51116, 51482, 51016, 52924, 50834, 51900, 51685, 71504, 52986, 65557, 51719, 50858, 51249, 50882, 51457, 50894, 52451, 50849, 56890, 63676, 51465, 50882, 51231, 50821, 51327, 50859, 52892, 54581, 51139, 53217, 51213, 50911, 51410, 50859, 51231, 50894, 51672, 50882, 54921, 50879, 53583, 50829, 52563, 50879, 52924, 66834, 54031, 63485, 57451, 51595, 50854, 51083, 68054, 54806, 51139, 50835, 51950, 50923, 52372, 57067, 51415, 52090, 51041, 50837, 51900, 50806, 51633, 52322, 51133, 50879, 52620, 50834, 52285, 51661, 52113, 52512, 50444, 67038, 60583, 68363, 51089, 50854, 51020, 53497, 51041, 52920, 67038, 52924, 50829, 52288, 50923, 52924, 50835, 51900, 51012, 51633, 57487, 59674, 51931, 52285, 51012, 52113, 63098, 51282, 50810, 69650, 51268, 53497, 51130, 50834, 51900, 50911, 51633, 56087, 51019, 51235, 52924, 50835, 52824, 51761, 52135, 51029, 63082, 53027, 51019, 51160, 51595, 50915, 51089, 50915, 51281, 50981, 51468, 51382, 51135, 50829, 52285, 50893, 52113, 52931, 72998, 51595, 50820, 51089, 50839, 51281, 53618, 51179, 50834, 51900, 50806, 51633, 50923, 53534, 50911, 51282, 70171, 76318, 54534, 51135, 50835, 51784, 51460, 51643, 51235, 50420, 51069, 51575, 52670, 51118, 50844, 51089, 62207, 53497, 51139, 50834, 52355, 50893, 51667, 52030, 51133, 51012, 52883, 50837, 52285, 50806, 52113, 52322, 51271, 50923, 52883, 50835, 51900, 50893, 51633, 56209, 51271, 51427, 51970, 52285, 50806, 52113, 51012, 51382, 51139, 50829, 51900, 50923, 51633, 52931, 61254, 51595, 50844, 69878, 51020, 53835, 51135, 50835, 52278, 50911, 51652, 50893, 76634, 67152, 56621, 61485, 51401, 50955, 56167, 50910, 51842, 56195, 50802, 51813, 63098, 65557, 51763, 50897, 56167, 50940, 55737, 50829, 62546, 50802, 52517, 56087, 65340, 51763, 50925, 56167, 50910, 58995, 51130, 50837, 62546, 50911, 52517, 52322, 58337, 51815, 50942, 58166, 50952, 58863, 51130, 50834, 74009, 50923, 52456, 56646, 63676, 51815, 50925, 58166, 50910, 51715, 52897, 50883, 74009, 50923, 52456, 77942, 51456, 55254, 69364, 52473, 50878, 61092, 50897, 52029, 51901, 50895, 67408, 50911, 52708, 60345, 79415, 52473, 50942, 68921, 50897, 52924, 72007, 50895, 67408, 50806, 52708, 50802, 52563, 50879, 61142, 50893, 52553, 61819, 54031, 64483, 59195, 51595, 50849, 75839, 51020, 53946, 51130, 50835, 52517, 50802, 52086, 60247, 51415, 50893, 64795, 52090, 51130, 50829, 52517, 50911, 52086, 52125, 70188, 56187, 51428, 51135, 50835, 52456, 50993, 52642, 62186, 51133, 50911, 59056, 51118, 50901, 51089, 50873, 51020, 50901, 54001, 50834, 52456, 50911, 52642, 56210, 51133, 50893, 56187, 50849, 52553, 50825, 52456, 50911, 52642, 50923, 53534, 50911, 59931, 50893, 52883, 50834, 52456, 51427, 52642, 51653, 50420, 66402, 55239, 51495, 50901, 51089, 50901, 51020, 53946, 51135, 50837, 52456, 51012, 52642, 60247, 66402, 59931, 50893, 52902, 50825, 52456, 51012, 52642, 56810, 51271, 50911, 56167, 51428, 51179, 50829, 52517, 50802, 52086, 52313, 51271, 52420, 51139, 50829, 52456, 50911, 52642, 56827, 51083, 50901, 71497, 54371, 51139, 50837, 52517, 50923, 52086, 60345, 51213, 50923, 68921, 51654, 51041, 65617, 50949, 55683, 50802, 52525, 50806, 52563, 50879, 61142, 50849, 53583, 52944, 65082, 55239, 51595, 50905, 51083, 77447, 53946, 51179, 50829, 52517, 50911, 52086, 60247 ]
[ 0, 250, 19448, 5175, 19834, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 23338, 33518, 1264, 6, 13305, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 8, 6168, 3540, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 6164, 741, 1685, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 119, 406, 6, 274, 119, 406, 6, 163, 428, 406, 6, 8, 12608, 119, 1176, 406, 6, 2351, 10, 15352, 30054, 8, 5679, 26709, 5466, 1969, 13, 10, 822, 1471, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57530, 50796, 50444, 51327, 54230, 51825, 67773, 51981, 50845, 50799, 53075, 51662, 53001, 73009, 51476, 51422, 51756, 53890, 51687, 51790, 51850, 67772, 51992, 53264, 70875, 51662, 52943, 70268, 53001, 50838, 54786, 51422, 50450, 52932, 50844, 55458, 51790, 50456, 53171, 50844, 71965, 51422, 52109, 73967, 51303, 55586, 52943, 52688, 51651, 51244, 53016, 53513, 53085, 53614, 57695, 51422, 52840, 73779, 51414, 50878, 52861, 55586, 50450, 51980, 50845, 53037, 51244, 50456, 51825, 50974, 50799, 56139, 51677, 51981, 78377, 52303, 51803, 52280, 55440, 52102, 51183, 52527, 53387, 51850, 56298, 50662, 50295, 51677, 51992, 51318, 50444, 51981, 50873, 57695, 51803, 50450, 53001, 50892, 59403, 51183, 50456, 52932, 50937, 50799, 54872, 52071, 51327, 67568, 51687, 51592, 51992, 53890, 51231, 51803, 52943, 54100, 53016, 58020, 62395, 52071, 51756, 70190, 51651, 50845, 55458, 51592, 50450, 52109, 50937, 52387, 51803, 50456, 51980, 50849, 50799, 56397, 52222, 51825, 51790, 50420, 54872, 51714, 53037, 53172, 51476, 51677, 52840, 57356, 52527, 53470, 50662, 50293, 52222, 51850, 51790, 50444, 51825, 51194, 62395, 51714, 50450, 51981, 51470, 54786, 51677, 50456, 53001, 50866, 78322, 52069, 51825, 70704, 51303, 51991, 51850, 71783, 51651, 52015, 51992, 65252, 52943, 54014, 63976, 52069, 51850, 71158, 51825, 51177, 52861, 51991, 50450, 51981, 50901, 53037, 52015, 50456, 53001, 50892, 50799, 53655, 51894, 51825, 62976, 52303, 50805, 51850, 66010, 51410, 51803, 51992, 54777, 52943, 53913, 78633, 51894, 51850, 63897, 51825, 50917, 57695, 52596, 51981, 50897, 54091, 51803, 50456, 53001, 50977, 50799, 54369, 52431, 51981, 51803, 50420, 52303, 52168, 51850, 56800, 51476, 51148, 51992, 57066, 52943, 60592, 50662, 50296, 52431, 51992, 51803, 50444, 51327, 50845, 57695, 52168, 50450, 51825, 50959, 54786, 51148, 50456, 51981, 50901, 50799, 53075, 51662, 53001, 71215, 51476, 51422, 51756, 53172, 51687, 51790, 51850, 60675, 51992, 55306, 70875, 51662, 52943, 64632, 53001, 50838, 54786, 51422, 50450, 52932, 50844, 55458, 51790, 50456, 53171, 50844, 71965, 51422, 52109, 73967, 51303, 55586, 52943, 52688, 51651, 51244, 53016, 53513, 53085, 53614, 57695, 51422, 52840, 73779, 51414, 50878, 52861, 55586, 50450, 51980, 50845, 53037, 51244, 50456, 51825, 50974, 50799, 56139, 51677, 51981, 78377, 52303, 51803, 52280, 55440, 52102, 51183, 52527, 53387, 51850, 56298, 50662, 50295, 51677, 51992, 51318, 50444, 51981, 50873, 57695, 51803, 50450, 53001, 50892, 59403, 51183, 50456, 52932, 50937, 50799, 54872, 52071, 51327, 67568, 51687, 51592, 51992, 53890, 51231, 51803, 52943, 54100, 53016, 58020, 62395, 52071, 51756, 70190, 51651, 50845, 55458, 51592, 50450, 52109, 50937, 52387, 51803, 50456, 51980, 50849, 50799, 56397, 52222, 51825, 51790, 50420, 54872, 51714, 53037, 53172, 51476, 51677, 52840, 57356, 52527, 53470, 50662, 50293, 52222, 51850, 51790, 50444, 51825, 51194, 62395, 51714, 50450, 51981, 51470, 54786, 51677, 50456, 53001, 50866, 78322, 52069, 51825, 70704, 51303, 51991, 51850, 71783, 51651, 52015, 51992, 65252, 52943, 54014, 63976, 52069, 51850, 71158, 51825, 51177, 52861, 51991, 50450, 51981, 50901, 53037, 52015, 50456, 53001, 50892, 50799, 53655, 51894, 51825, 62976, 52303, 50805, 51850, 66010, 51410, 51803, 51992, 54777, 52943, 53913, 78633, 51894, 51850, 63897, 51825, 50917, 57695, 52596, 51981, 50897, 54091, 51803, 50456, 53001, 50977, 50799, 56139, 52431, 52932, 51803, 50420, 52303, 52168, 51850, 56800, 52102, 51148, 51992, 57066, 52943, 60592, 50662, 50295, 52431, 53016, 51803, 50444, 51981, 50845, 57695, 52168, 50450, 53001, 50959, 59403, 51148, 51374, 54098, 52932, 50901, 50799, 53075, 51662, 53171, 51452, 52255, 79780, 57284, 51128, 51132, 52369, 50419, 51687, 52062, 50420, 51992, 52839, 56323, 51651, 51452, 52943, 50959, 50903, 53111, 53705, 53016, 55998, 51000, 53842, 50438, 70875, 51662, 53085, 67880, 51000, 53842, 50444, 52932, 50987, 55458, 52062, 52622, 50449, 53001, 55620, 53037, 51452, 51711, 51097, 50903, 57444, 50838, 51132, 51160, 50455, 51981, 50873, 51453, 50928, 50799, 52932, 51103, 52690, 51518, 51615, 51662, 50798, 51297, 58907, 51533, 52195, 50419, 51687, 51692, 50420, 53016, 61098, 53356, 51231, 51623, 52943, 50897, 50903, 50857, 72337, 51992, 55732, 51128, 69620, 65959, 51518, 53016, 64391, 51128, 52622, 52585, 51566, 50444, 52932, 50952, 55458, 51692, 50791, 53421, 53171, 50917, 52387, 51623, 51711, 61701, 56768, 50892, 51533, 51073, 50456, 52932, 55744, 50982, 50799, 55349, 51486, 52932, 51077, 52332, 51692, 50798, 57284, 51128, 51533, 52195, 50419, 51687, 52015, 50420, 53016, 50952, 53842, 50425, 51719, 62479, 53085, 75478, 53111, 53705, 53016, 56411, 51000, 53842, 50438, 80216, 51486, 53016, 58673, 51000, 53842, 52585, 51566, 50444, 52932, 50924, 55458, 52015, 67615, 53171, 50917, 54598, 51047, 51711, 61737, 57444, 50838, 51533, 51454, 50455, 52932, 50938, 51453, 59546, 53075, 52071, 53001, 51413, 50799, 51743, 72163, 51297, 58907, 51957, 52097, 50419, 52102, 52071, 50420, 53016, 53538, 53356, 51303, 51452, 53085, 75478, 50857, 72337, 53016, 60075, 51128, 69620, 70875, 52071, 52943, 73717, 51128, 52622, 52458, 51566, 50444, 53001, 50938, 59403, 52071, 58907, 50449, 52932, 55758, 52861, 51452, 50903, 56768, 50892, 51957, 57175, 53001, 51582, 50982, 50799, 54369, 52151, 53001, 50918, 52033, 51662, 50798, 57284, 51128, 51957, 77784, 52102, 51422, 52943, 50938, 53842, 50426, 51465, 51452, 53016, 75478, 53111, 53705, 52943, 51747, 51000, 53842, 50438, 50662, 50296, 52151, 52943, 54805, 51000, 53842, 52458, 51290, 50444, 53001, 50938, 59403, 51422, 52622, 50449, 52932, 54058, 54227, 51452, 51711, 63184, 57444, 50838, 51957, 80071, 53001, 51420, 59546, 56139, 52062, 50799, 53001, 51623, 52402, 67531, 51297, 58907, 51338, 51285, 50419, 51476, 53866, 50420, 52943, 56022, 53356, 51687, 51742, 53016, 63675, 50857, 72337, 52943, 52972, 51128, 69620, 50662, 50295, 52062, 52943, 76270, 51128, 52622, 51416, 76264, 51980, 50978, 54786, 53866, 50791, 53421, 53001, 50917, 55458, 51742, 50903, 56768, 50892, 51338, 77002, 52932, 54260, 50982, 50799, 53655, 52069, 52932, 50918, 51881, 67531, 57284, 51128, 51727, 51527, 50420, 52303, 50937, 52527, 50978, 53842, 50426, 51410, 51675, 52943, 75478, 53111, 53705, 53016, 55548, 51000, 53842, 50438, 78633, 52069, 53016, 54805, 51000, 53842, 51526, 58648, 52932, 50795, 57695, 50937, 67615, 53171, 50897, 54091, 51675, 50903, 57444, 50838, 51727, 51603, 50455, 52932, 50897, 51453, 59546, 56139, 51145, 52402, 52222, 50799, 52932, 64253, 51297, 58907, 51533, 52097, 50419, 52303, 51295, 50420, 53016, 51370, 67726, 52102, 72038, 53085, 50897, 50903, 50857, 72337, 53016, 57277, 51128, 69620, 50662, 50295, 51145, 53016, 64253, 51128, 52622, 51533, 60969, 53171, 51100, 57695, 51295, 50791, 53421, 59403, 51134, 50903, 56768, 50892, 51533, 51012, 50451, 55386, 50987, 51453, 50982, 52585, 51012, 50457, 56822, 50892, 50799, 56822, 51790, 51711, 60922, 57284, 51128, 51602, 51661, 50415, 54872, 53142, 50420, 53085, 51100, 53842, 50421, 51687, 52151, 51768, 53111, 63829, 51651, 51675, 50429, 55287, 60539, 56447, 54788, 51000, 53842, 50438, 62395, 53142, 56447, 51790, 50798, 51000, 53842, 51602, 63437, 55386, 50865, 55458, 52151 ]
[ 0, 250, 20902, 8, 14899, 6701, 34211, 2125, 19, 10, 7212, 20889, 6, 4246, 3459, 9590, 6, 21072, 6, 25044, 139, 10170, 1499, 6, 8, 3459, 8669, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 14, 7630, 6568, 10, 1472, 9, 11098, 8, 8593, 26358, 6, 19, 5, 33215, 16739, 9, 230, 6, 211, 6, 8, 272, 119, 1176, 406, 19983, 1328, 42, 8787, 15229, 11, 5, 762, 9, 211, 538, 8, 10, 204, 73, 398, 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 ]
[ 57211, 50429, 54174, 54154, 54469, 53263, 54535, 52841, 53326, 50859, 50953, 70551, 52154, 51074, 50832, 68977, 54535, 52273, 50984, 50443, 53326, 52711, 53210, 50883, 52635, 50818, 51250, 50949, 51780, 53989, 55603, 51074, 51070, 60073, 53326, 61312, 52979, 73311, 53326, 50818, 53210, 50895, 52635, 50884, 50953, 54168, 52085, 52843, 53210, 50890, 51415, 55422, 51074, 50832, 50369, 52094, 56753, 53197, 53545, 52979, 53716, 50369, 52094, 55346, 53326, 50884, 53210, 50859, 51271, 50805, 51780, 51010, 51250, 53671, 63819, 57430, 53210, 50961, 52635, 58892, 52860, 57308, 53326, 57319, 53210, 50961, 52635, 50895, 50799, 52635, 50859, 50953, 54187, 52154, 51074, 50832, 50984, 50416, 53539, 50894, 51921, 55740, 53326, 50895, 53210, 50961, 52635, 50846, 52635, 51204, 51780, 51010, 51250, 50883, 51355, 53754, 55603, 51074, 51070, 54347, 53326, 50884, 53210, 50961, 52635, 50884, 50953, 52589, 52085, 52654, 51415, 55992, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 51999, 50369, 52094, 54661, 53326, 50883, 53210, 51031, 51271, 51177, 50852, 63819, 57201, 52635, 50846, 51780, 51010, 51250, 57244, 53326, 50895, 53210, 50883, 53210, 61170, 52635, 54292, 53062, 50812, 54343, 51747, 52154, 51074, 50832, 50984, 50439, 50945, 61870, 53539, 53291, 50984, 50442, 53424, 53239, 52860, 50817, 53539, 50840, 53424, 50808, 51355, 50884, 51262, 52050, 55603, 51074, 51070, 60073, 52979, 50883, 53062, 61970, 52979, 50883, 52860, 51031, 53062, 50818, 52635, 53303, 52085, 62924, 53062, 50817, 50945, 56505, 52635, 50862, 53062, 55307, 51074, 50832, 50369, 52094, 56753, 53197, 56086, 68584, 52145, 50369, 52094, 74507, 52860, 50961, 53424, 53685, 53424, 50808, 52860, 50921, 51355, 50930, 51262, 51759, 63819, 57430, 52979, 50883, 52860, 50817, 53062, 50961, 51133, 66120, 52979, 50883, 53210, 61629, 52860, 50817, 53062, 50817, 50799, 52860, 54168, 52154, 51074, 50832, 50984, 50415, 60357, 51921, 50984, 50418, 52635, 54402, 53210, 50961, 53210, 51427, 51780, 50962, 51250, 53989, 55603, 51074, 51070, 60392, 53326, 50895, 52635, 55133, 52635, 50883, 50953, 52589, 52085, 65145, 53326, 50961, 53210, 55800, 51415, 52732, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 51999, 50369, 52094, 74954, 54174, 54334, 54174, 50834, 52635, 50895, 54469, 50854, 51780, 50962, 51250, 53671, 63819, 57201, 53326, 50895, 53210, 50949, 51271, 57807, 53326, 50883, 53210, 50883, 52635, 50895, 54535, 52599, 53326, 50808, 50953, 52090, 52154, 51074, 50832, 68977, 54535, 53716, 57043, 53326, 50961, 53210, 51031, 52635, 50883, 53326, 50897, 51780, 50962, 51250, 56409, 55603, 51074, 51070, 54803, 53326, 50895, 53210, 50883, 52635, 50895, 52979, 50942, 50953, 56728, 52085, 52843, 53210, 54998, 51074, 50832, 50369, 52094, 56753, 53197, 56086, 51415, 76596, 52979, 53716, 50369, 52094, 55346, 53326, 50895, 53210, 50949, 52635, 50884, 53210, 50808, 51271, 50879, 51780, 51010, 51250, 53732, 63819, 53902, 53326, 50883, 53210, 50949, 52635, 50883, 52860, 50894, 50799, 52635, 50858, 50953, 55195, 52154, 51074, 50832, 67985, 53539, 52973, 55740, 53326, 50883, 53210, 50949, 52635, 50895, 52635, 51294, 51780, 50962, 51250, 54192, 55603, 51074, 51070, 54347, 53326, 50895, 53210, 50883, 52635, 50884, 50953, 56728, 52085, 52654, 51415, 59964, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 51999, 50369, 52094, 54661, 53326, 50883, 53210, 50949, 52635, 50895, 51271, 51060, 51250, 50962, 51780, 59057, 63819, 53593, 53326, 50884, 53210, 50961, 52635, 50895, 53210, 51724, 53062, 50859, 54343, 50800, 50945, 54209, 52154, 51074, 50832, 68977, 53424, 50883, 53539, 51700, 57043, 52979, 50846, 53210, 50841, 52860, 51031, 53062, 50883, 53424, 50800, 53539, 50859, 51355, 50930, 51262, 52050, 55603, 51074, 51070, 54803, 52979, 50895, 52860, 50949, 53062, 50895, 53062, 78965, 52466, 52085, 62924, 52635, 53035, 52635, 50862, 53062, 55557, 51074, 50832, 50369, 52094, 56753, 53197, 56086, 51011, 55000, 53424, 55048, 50369, 52094, 74507, 52860, 53685, 52860, 51031, 52860, 50880, 53424, 55603, 63819, 57430, 52979, 50895, 53062, 50883, 51133, 50911, 51355, 50930, 51262, 60451, 52860, 51031, 53062, 50949, 50460, 53326, 50818, 52979, 50883, 53210, 50818, 52635, 50818, 50799, 53326, 50836, 53210, 50890, 53326, 50950, 53210, 50803, 52635, 50833, 52635, 53056, 68381, 50953, 50950, 51780, 51031, 51250, 51031, 50416, 51206, 52761, 53326, 50950, 53326, 50803, 53210, 50803, 53210, 50803, 52635, 50894, 52635, 54168, 50923, 50421, 50953, 50950, 51780, 50949, 51250, 52885, 53943, 51553, 51628, 51224, 51724, 50964, 70551, 52154, 51074, 50832, 50984, 52260, 57043, 53326, 50818, 52860, 50949, 53424, 53404, 55603, 51074, 51070, 54803, 53326, 50818, 52860, 50949, 53424, 54739, 52085, 62924, 50964, 56505, 51019, 59312, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 52145, 50369, 52094, 55346, 52860, 51031, 50953, 61061, 63819, 57430, 53326, 50818, 53424, 53902, 52860, 50961, 53424, 66430, 53326, 50828, 56142, 50879, 53344, 54880, 52154, 51074, 50832, 50984, 51921, 55740, 53210, 50883, 52635, 53683, 55603, 51074, 51070, 60392, 53326, 53423, 53326, 50828, 52635, 50818, 51443, 56728, 52085, 65145, 53210, 53516, 51205, 51158, 50843, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 51999, 50369, 52094, 54661, 53326, 52493, 63819, 57201, 53210, 50895, 52635, 50884, 50927, 67865, 53326, 50846, 53210, 50895, 52635, 50884, 51450, 52154, 51074, 50832, 50984, 50439, 52936, 51012, 52260, 57043, 52979, 50895, 52860, 52050, 55603, 51074, 51070, 60073, 53904, 53851, 53904, 50817, 52979, 50818, 52860, 50817, 52936, 54168, 52085, 52843, 51069, 59312, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 52145, 50369, 52094, 55346, 52979, 50846, 50964, 56655, 63819, 57430, 53904, 50949, 52860, 53736, 53904, 50961, 52979, 50828, 52860, 51031, 56142, 70551, 52154, 51074, 50832, 50984, 51921, 55740, 53326, 50895, 53210, 50883, 52635, 54473, 55603, 51074, 51070, 54347, 53326, 50884, 53210, 50883, 52635, 50884, 51443, 52589, 52085, 52654, 51205, 59893, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 51999, 50369, 52094, 54661, 53210, 50961, 52635, 50884, 50927, 56425, 63819, 57201, 53326, 55486, 53326, 50846, 53210, 50895, 52635, 53219, 50964, 61712, 52154, 51074, 50832, 50984, 52260, 57043, 53326, 50846, 52860, 50949, 53424, 53500, 55603, 51074, 51070, 54803, 53326, 50884, 52860, 51031, 53424, 50884, 50964, 53056, 52085, 52843, 51019, 62116, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 52145, 50369, 52094, 55346, 53326, 50846, 52860, 50949, 53424, 66176, 55163, 63819, 53902, 53326, 50884, 52860, 50949, 53424, 50887, 56142, 56562, 52154, 51074, 50832, 50984, 51921, 55740, 53326, 50818, 53210, 53412, 55603, 51074, 51070, 60392, 52635, 54069, 53326, 50846, 53210, 50895, 52635, 53579, 52085, 65145, 51443, 53950, 51205, 55992, 51074, 50832, 50369, 52094, 56753, 53197, 50818, 51999, 50369, 52094, 54661, 53210, 50895, 52635, 50884, 50927, 53072, 63819, 57201, 53326, 54002, 53326, 50828, 53210, 50818, 52635, 53574, 52936, 55580, 52154, 51074, 50832, 50984, 52260, 57043, 52979, 50846, 52860, 52050, 55603, 51074, 51070, 60073, 53904, 58781, 53904, 50961, 52979, 50828, 52860, 54906, 52085, 62924, 52936, 55230, 50843, 51074, 50832, 50369, 52094, 56753, 53197, 56086, 74381 ]
[ 0, 250, 3495, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 42, 2125, 17384, 12049, 9, 657, 8, 11926, 149, 63, 15352, 30054, 15229, 4, 2595, 10312, 9382, 15, 13305, 6, 24, 30853, 11, 10, 155, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 4, 8504, 11, 5, 762, 9, 274, 3694, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 163, 428, 6, 230, 10431, 401, 6, 2060, 6, 163, 43531, 6, 8, 230, 119, 4, 590, 10, 13428, 9, 35533, 2397, 6, 42, 2214, 6670, 10, 19448, 8, 25306, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 73566, 50438, 51081, 51333, 75424, 75598, 52212, 51399, 51447, 55961, 55752, 50906, 51333, 57019, 52845, 50333, 51333, 75424, 72895, 52212, 51405, 51447, 58097, 55752, 50906, 51333, 64574, 52845, 50326, 59837, 51062, 51074, 51034, 51378, 52104, 50329, 51079, 61683, 52216, 50331, 56237, 51399, 54504, 50989, 52845, 50328, 65461, 51040, 52845, 50324, 51333, 64688, 52104, 50317, 52212, 50931, 51447, 61683, 55752, 50965, 67995, 50631, 50434, 50631, 50436, 50631, 74482, 51176, 52845, 50321, 51333, 50441, 50631, 50443, 50631, 50445, 50631, 50447, 50630, 73566, 51197, 52104, 50322, 51490, 56363, 55752, 50956, 67995, 50631, 50434, 50631, 50436, 50631, 74482, 50997, 52845, 50329, 51333, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 64688, 52104, 50328, 51965, 50417, 50631, 53502, 51074, 53645, 67995, 51147, 51074, 55203, 52845, 50324, 59837, 51062, 51074, 51034, 51378, 52104, 50326, 51965, 61683, 55752, 50989, 57524, 50631, 50906, 56515, 50434, 50631, 50436, 50631, 74482, 53684, 58573, 50631, 52357, 79177, 70873, 52052, 74722, 50631, 50447, 50630, 51339, 51126, 73566, 51399, 70550, 50631, 50434, 50631, 50436, 50631, 74482, 51081, 51333, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 75424, 75598, 52212, 51399, 51447, 50417, 50631, 55961, 55752, 50906, 51333, 57019, 52845, 50333, 51333, 75424, 72895, 52212, 51405, 51447, 58097, 55752, 50906, 52845, 50321, 51333, 64574, 52845, 50319, 52845, 50326, 59837, 51062, 51074, 51034, 51378, 52104, 50317, 51490, 51399, 51079, 61683, 52216, 50331, 56237, 51399, 54504, 50989, 52845, 50328, 65461, 51040, 52845, 50324, 52845, 50324, 51333, 64688, 52104, 50329, 52212, 51339, 51447, 61683, 51074, 53645, 51333, 57019, 52845, 50333, 51333, 72316, 52104, 50326, 52212, 51405, 51447, 56363, 55752, 50956, 57524, 50989, 52136, 50438, 51399, 51333, 64688, 52104, 50324, 52519, 51062, 51637, 53502, 55752, 50956, 57524, 50965, 52136, 51147, 55659, 51147, 59837, 51062, 51074, 51034, 51966, 52104, 50326, 56515, 50420, 51360, 72457, 55752, 51378, 72457, 57524, 50631, 50997, 52136, 50876, 51074, 50434, 50631, 50436, 50631, 74482, 50906, 51748, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 51034, 50965, 51330, 50417, 50631, 50426, 51028, 67995, 51147, 55659, 50876, 52845, 50324, 59837, 51062, 51074, 68792, 52104, 50326, 55392, 60284, 72457, 55752, 50997, 51490, 50965, 57524, 50876, 55659, 50906, 51748, 68792, 52528, 50432, 50631, 50434, 50631, 50436, 50631, 74482, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 75424, 52454, 50317, 51490, 50417, 50631, 53645, 76357, 50931, 51333, 50448, 50906, 52212, 50449, 51001, 52212, 75424, 72895, 51447, 55961, 51074, 54439, 76357, 50931, 59837, 51001, 51074, 75424, 52104, 50317, 51965, 55961, 52980, 50432, 51001, 55659, 50931, 51333, 75424, 67891, 51490, 55961, 51074, 54439, 76357, 51081, 51333, 75424, 75598, 52212, 51399, 51447, 55961, 55752, 50906, 51333, 57019, 52845, 50333, 51333, 75424, 72895, 52212, 51405, 51447, 58097, 55752, 50906, 51333, 64574, 52845, 50326, 59837, 51062, 51074, 51034, 51378, 52104, 50329, 51079, 61683, 52216, 50331, 56237, 51399, 54504, 50989, 52845, 50328, 65461, 51040, 52845, 50324, 51333, 64688, 52104, 50317, 52212, 50931, 51447, 61683, 55752, 50965, 67995, 50631, 50434, 50631, 50436, 50631, 74482, 51176, 52845, 50321, 51333, 50441, 50631, 50443, 50631, 50445, 50631, 50447, 50630, 73566, 51197, 52104, 50322, 51490, 56363, 55752, 50956, 67995, 50631, 50434, 50631, 50436, 50631, 74482, 50997, 52845, 50329, 51333, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 64688, 52104, 50328, 51965, 50417, 50631, 53502, 51074, 53645, 67995, 51147, 51074, 55203, 52845, 50324, 59837, 51062, 51074, 51034, 51378, 52104, 50326, 51965, 61683, 55752, 50989, 57524, 50631, 50906, 56515, 50434, 50631, 50436, 50631, 74482, 53684, 58573, 50631, 52357, 79177, 70873, 52052, 74722, 50631, 50447, 50630, 51339, 51126, 73566, 51399, 70550, 50631, 50434, 50631, 50436, 50631, 74482, 51081, 51333, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 75424, 75598, 52212, 51399, 51447, 50417, 50631, 55961, 55752, 50906, 51333, 57019, 52845, 50333, 51333, 75424, 72895, 52212, 51405, 51447, 58097, 55752, 50906, 52845, 50321, 51333, 64574, 52845, 50319, 52845, 50326, 59837, 51062, 51074, 51034, 51378, 52104, 50317, 51490, 51399, 51079, 61683, 52216, 50331, 56237, 51399, 54504, 50989, 52845, 50328, 65461, 51040, 52845, 50324, 52845, 50324, 51333, 64688, 52104, 50329, 52212, 51339, 51447, 61683, 51074, 53645, 51333, 57019, 52845, 50333, 51333, 72316, 52104, 50326, 52212, 51405, 51447, 56363, 55752, 50956, 57524, 50989, 52136, 50438, 51399, 51333, 64688, 52104, 50324, 52519, 51062, 51637, 53502, 55752, 50956, 57524, 50965, 52136, 51147, 55659, 51147, 59837, 51062, 51074, 51034, 51966, 52104, 50326, 56515, 50420, 51360, 72457, 55752, 51378, 72457, 57524, 50631, 50997, 52136, 50876, 51074, 50434, 50631, 50436, 50631, 74482, 50906, 52528, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 51034, 50965, 51330, 50417, 50631, 60564, 51490, 50432, 51147, 55659, 51028, 52845, 50324, 59837, 51062, 51074, 68792, 52104, 50326, 56515, 60284, 72457, 55752, 50997, 51490, 50965, 57524, 50876, 55659, 50906, 52727, 50931, 51671, 68792, 52528, 50438, 51399, 59837, 51405, 51079, 51034, 51360, 50805, 51339, 62557, 51176, 65505, 52688, 51040, 51260, 50329, 55665, 50965, 52718, 51028, 52019, 50336, 51097, 64507, 51753, 51405, 62557, 51176, 55752, 50956, 57524, 50965, 55659, 50876, 52104, 50336, 61112, 50965, 51074, 68792, 51753, 51399, 51080, 60284, 74056, 52688, 50997, 52216, 50326, 55665, 50631, 50871, 51074, 50434, 50631, 50436, 50631, 74482, 50906, 52019, 50334, 75576, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 80055, 51753, 51339, 51477, 50417, 50631, 55961, 55752, 50877, 57524, 50871, 52216, 50328, 52718, 50876, 52104, 50333, 56391, 50877, 52216, 50331, 50838, 51034, 51503, 51753, 51399, 51243, 60284, 74056, 52688, 51176, 52216, 50324, 55665, 50871, 55659, 50965, 51097, 72151, 58879, 51040, 52688, 50861, 64079, 53052, 50956, 65348, 52718, 51026, 51911, 50329, 55103, 52052, 50892, 51034, 51378, 51455, 50336, 51145, 61683, 75855, 53770, 50989, 51145, 51399, 56692, 51399, 50915, 77575, 51260, 50331, 51080, 58097, 60778, 52688, 50965, 51080, 51147, 55665, 50631, 50434, 50631, 50436, 50631, 74482, 51147, 51853, 50329, 70140, 50630, 50443, 50630, 50444, 51062, 51853, 50331, 75029, 50630, 50447, 50630, 51034, 51360, 51455, 50329, 51455, 50333, 51145, 50417, 50631, 66650, 75855, 53770, 51040, 51568, 50329, 57547, 50965, 53913, 51028, 51741, 50333, 52019, 50336, 51003, 64507, 51328, 51062, 51455, 50331, 51145, 66650, 65505, 53770, 50956, 65348, 57547, 50965, 52718, 50876, 51260, 50333, 52019, 50336, 60510, 50965, 50838, 68792, 51328, 51081, 51455, 50329, 51145, 60284, 57643, 53770, 50997, 64079, 57547, 50631, 50871, 68232, 50631, 50436, 50631, 74482, 50906, 51741, 50329, 52019, 50334, 51003, 50441, 50630, 50443, 50630, 50445, 50630, 50447, 50630, 80055, 51328, 51062, 51455, 50333, 51115, 50417, 50631, 55961, 57643, 53770, 50877, 60472, 57547, 50871, 51260, 50333, 53913, 50876, 51260, 50340, 55200, 50877, 51260, 50341, 50892, 77575, 51328, 51399, 51455, 50338, 53753 ]
[ 0, 250, 15352, 30054, 3495, 2214, 11509, 657, 8, 11926, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 4, 20, 13305, 1239, 5, 483, 6, 816, 149, 10, 33215, 16739, 9, 274, 6, 272, 119, 6, 211, 406, 6, 272, 6, 8, 230, 406, 4, 20, 6711, 16, 8728, 8, 1372, 6, 442, 13, 10, 1144, 26016, 4161, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50431, 50931, 55214, 50997, 51172, 50906, 51189, 67137, 50899, 51314, 50441, 50900, 51412, 50447, 69697, 50451, 50997, 74134, 51192, 50461, 51176, 60553, 50882, 50871, 50858, 56251, 50899, 50941, 56020, 51001, 50894, 50997, 54477, 76242, 51026, 56680, 50902, 52559, 62926, 50997, 68925, 57659, 51085, 61868, 50906, 60696, 50876, 51661, 51050, 59428, 50955, 50877, 51006, 50452, 50956, 60097, 50810, 55694, 51377, 50899, 51203, 50871, 51412, 50415, 50997, 51645, 51050, 51645, 51234, 51642, 50435, 50956, 51454, 51001, 51454, 50436, 51085, 58657, 76195, 51253, 68121, 67504, 53017, 51378, 51215, 50902, 58548, 50967, 50906, 76455, 51121, 52478, 51120, 59459, 73624, 53318, 50301, 61822, 51026, 78989, 51419, 50906, 64608, 50991, 50433, 50876, 53402, 51027, 51101, 59285, 76592, 69391, 50442, 50997, 50977, 50443, 50871, 54803, 63365, 50448, 50916, 68638, 51566, 50877, 51377, 50457, 50906, 51345, 50458, 51085, 50942, 50861, 50967, 52591, 50877, 62929, 51312, 50876, 51356, 50871, 51442, 50297, 50995, 50431, 65058, 60192, 50443, 50906, 51244, 50871, 51749, 50997, 52263, 50899, 51627, 50444, 51234, 52407, 51050, 51878, 50796, 50435, 50931, 50806, 50436, 50997, 51363, 50871, 70022, 51148, 50906, 51191, 68121, 51363, 50451, 50931, 66355, 51000, 50455, 50997, 59353, 51192, 50871, 51173, 51809, 51176, 58093, 50871, 52640, 50321, 79027, 55447, 50956, 51689, 50299, 69098, 68315, 50906, 60519, 71702, 50436, 50956, 62282, 64141, 51085, 51682, 50302, 59138, 50906, 62813, 50871, 71949, 52097, 51050, 51377, 50877, 50937, 50455, 50956, 56838, 60569, 52177, 50871, 58801, 50873, 50418, 50899, 51665, 50290, 80089, 68588, 70351, 50931, 57926, 51958, 50302, 51411, 50906, 51294, 50439, 50899, 51480, 50448, 50900, 50991, 50454, 50931, 67383, 50997, 50925, 50902, 51566, 50871, 51379, 50899, 50845, 53069, 50965, 76028, 50894, 53502, 50991, 51050, 53943, 51001, 50962, 50430, 51026, 66677, 60661, 50876, 50809, 51027, 51212, 50439, 51086, 50921, 50871, 52545, 50318, 71261, 58262, 50916, 51346, 50861, 51400, 50876, 70156, 51025, 51085, 51807, 50299, 50995, 56020, 50956, 51215, 50906, 51095, 50423, 51050, 51400, 50861, 62118, 50877, 60407, 58344, 51050, 51411, 50899, 60358, 51400, 51234, 51312, 50876, 50917, 50452, 50899, 64237, 75280, 64459, 50902, 50840, 55435, 65159, 60598, 76028, 51388, 78630, 77360, 54660, 51050, 58322, 50997, 51124, 51315, 51345, 50861, 73988, 65455, 51027, 50907, 74873, 50900, 65732, 50989, 53275, 50313, 51238, 50900, 51177, 51120, 50917, 51601, 50906, 51030, 50416, 50997, 57035, 50882, 51026, 51008, 50425, 50876, 51016, 53523, 57631, 51112, 51027, 51400, 50436, 51279, 50827, 67977, 50440, 50877, 62885, 70537, 71091, 51234, 69775, 50871, 58238, 51214, 51051, 50455, 51085, 67650, 50910, 65927, 62198, 52478, 50900, 60657, 72066, 50942, 51247, 51058, 50419, 51085, 50937, 57019, 51167, 50931, 51573, 50439, 51120, 63947, 50897, 50899, 60168, 50871, 50921, 50997, 70017, 50894, 50902, 51919, 50290, 59672, 51197, 53275, 50307, 52545, 50323, 51454, 50459, 50906, 53177, 50319, 51454, 50997, 50833, 50861, 50896, 59412, 51085, 51167, 50430, 50899, 60263, 50940, 50965, 71389, 50921, 74230, 50440, 51214, 74540, 63307, 50859, 50973, 71644, 68252, 70577, 50902, 59248, 51085, 51003, 56279, 52098, 50307, 51056, 51001, 51454, 63775, 50451, 51026, 51109, 50461, 50900, 50809, 56020, 51378, 68370, 51238, 50902, 51227, 79579, 51238, 50997, 75407, 50876, 51566, 51027, 76146, 51710, 50294, 60964, 51026, 78989, 68506, 64471, 50893, 50448, 74230, 50452, 50902, 57704, 61157, 70093, 50906, 50987, 50457, 50871, 51731, 50302, 50837, 54960, 51162, 50900, 51351, 50916, 60015, 51025, 50425, 50906, 51110, 50861, 63432, 51085, 68068, 77113, 50900, 51312, 50871, 57669, 50892, 50436, 51050, 51097, 50447, 71152, 50861, 54846, 50906, 52015, 50871, 52015, 50899, 51314, 50460, 51234, 51490, 51050, 55586, 50997, 51703, 50796, 50449, 50899, 51380, 50997, 51255, 50931, 61623, 64609, 51294, 50460, 50900, 51212, 51809, 50931, 65992, 50997, 74134, 51175, 50899, 65068, 51427, 50430, 51176, 57722, 78858, 69812, 67908, 60509, 50440, 77053, 50997, 57108, 50906, 51537, 50299, 59843, 50902, 54276, 56251, 50956, 50810, 51085, 50925, 50451, 51026, 62564, 50906, 52567, 50871, 63621, 59851, 51056, 50876, 51285, 55753, 50956, 60999, 50861, 52810, 50906, 51480, 50433, 50899, 51242, 50871, 51412, 51234, 51642, 51050, 51172, 50997, 51172, 50454, 50931, 72967, 51400, 50871, 68993, 51363, 50906, 51013, 52177, 76239, 50421, 50931, 51620, 50997, 67316, 77299, 51235, 50899, 60157, 50931, 72728, 50938, 50436, 50900, 51100, 51050, 57785, 77053, 61293, 51026, 55082, 50876, 50937, 50451, 51027, 50905, 50455, 51086, 50921, 50902, 59465, 50871, 64608, 50938, 52478, 51085, 59258, 50807, 50419, 50900, 51312, 50916, 51345, 50861, 51159, 50439, 50956, 51936, 50297, 51267, 50906, 51111, 50440, 68622, 50449, 50876, 54988, 50877, 59107, 71815, 50899, 51177, 51050, 51411, 51234, 51312, 56020, 50997, 56133, 50906, 51128, 50427, 50902, 54937, 50997, 64151, 60015, 50910, 50931, 51192, 50442, 50902, 61686, 58275, 51050, 64314, 50902, 51048, 50997, 51203, 50861, 51191, 50453, 51315, 51221, 54960, 51828, 50301, 50827, 50900, 65553, 50900, 51177, 50989, 56036, 51095, 51120, 70935, 67559, 50997, 50810, 50906, 71148, 51026, 54478, 50900, 69797, 52530, 50301, 51267, 50861, 51345, 50455, 74166, 51279, 67205, 50877, 50836, 52177, 51234, 65159, 69222, 66216, 65290, 51214, 50987, 50427, 51085, 58263, 73569, 50897, 50916, 51060, 57019, 51173, 51027, 68038, 52098, 50292, 69641, 51247, 51174, 50459, 50871, 51354, 50931, 51454, 50460, 51120, 67679, 50833, 50906, 50865, 55753, 50871, 79278, 51033, 50902, 50936, 50422, 51234, 54334, 51197, 51192, 50956, 51173, 50951, 51603, 50997, 58263, 70606, 76643, 51603, 50448, 51085, 51160, 50453, 50871, 50894, 70640, 50899, 67629, 50921, 50876, 51033, 50461, 51214, 50836, 54868, 67694, 51001, 52717, 50309, 50821, 50973, 74714, 50861, 51581, 50303, 52432, 50902, 70576, 51085, 68323, 68694, 51566, 50956, 51346, 54439, 51267, 50436, 50900, 63178, 50902, 50924, 50446, 51378, 63891, 65757, 51177, 50906, 59349, 50877, 71949, 51379, 51120, 50864, 52478, 50906, 52014, 50299, 51056, 50877, 50866, 50419, 50899, 52996, 72784, 50924, 50428, 51027, 51233, 50902, 51060, 50861, 51060, 50906, 77834, 50997, 57911, 54773, 50900, 51204, 50876, 65788, 60015, 51400, 50449, 71039, 50861, 65556, 51085, 60977, 50876, 63656, 52098, 50297, 51391, 50900, 50915, 50460, 50877, 50905, 56020, 50956, 55054, 65150, 50435, 50906, 51452, 50871, 51742, 50899, 51244, 50436, 50997, 51490, 51050, 51447, 51234, 51703, 69341, 50997, 51255, 50871, 53531, 50321, 51286, 50899, 51233, 50906, 51294, 50437, 50900, 50905, 50442, 50931, 56762, 50997, 74134, 51095, 50871, 58548, 50955, 50457, 70640, 51176, 62379, 50821, 67908, 60509, 53069, 51001, 50894, 50997, 54402, 50906, 51682, 50299, 62115, 50902, 57544, 67594, 50956, 58528, 51085, 50940, 50433, 50906, 62293, 50871, 65090, 51285, 67692, 50900, 51203, 51050, 51109, 50448, 70090, 50449, 50861, 56569, 50906, 51377, 50871, 51337, 50899, 51328, 50460, 51234, 52059, 50997, 51309, 51050, 51645, 50796, 50433, 50931, 51286, 50997, 51377, 50871, 75025, 51411, 50906, 51294, 50443, 50900, 51221, 50448, 50931 ]
[ 0, 250, 8787, 15855, 15229, 13, 5540, 21979, 8669, 6, 278, 11, 5, 762, 9, 211, 538, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 11956, 38451, 3938, 20889, 4, 20, 2125, 7630, 6568, 10, 1472, 9, 36474, 13005, 6, 7125, 6, 8, 5823, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 822, 2369, 36546, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 211, 6, 163, 406, 6, 8, 3676, 6, 61, 7230, 1328, 5, 173, 6, 8216, 7, 63, 32625, 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 ]
[ 69434, 50423, 50960, 52422, 50929, 71832, 60405, 50799, 63800, 50423, 51444, 51973, 51207, 51160, 50929, 51196, 51076, 51196, 50435, 51131, 52877, 51311, 52692, 51207, 52610, 51292, 51160, 79655, 50451, 78991, 50459, 65611, 50799, 70442, 65009, 50417, 51032, 52871, 51292, 54007, 51032, 52422, 50947, 51274, 50429, 50986, 52119, 50998, 53660, 50986, 52057, 51131, 52692, 59077, 50929, 52610, 52028, 50806, 51078, 52931, 77148, 56406, 50799, 54765, 51444, 61912, 50998, 54007, 51078, 52422, 50929, 55104, 50947, 52686, 51076, 53660, 51032, 52877, 51067, 56050, 51292, 53247, 51786, 54787, 51563, 53153, 51788, 56277, 64687, 61108, 51196, 51064, 62002, 51317, 52038, 50998, 52309, 51317, 52125, 54765, 50439, 51064, 50936, 50929, 52692, 69407, 50960, 52610, 77148, 50998, 52931, 52028, 50806, 57504, 50799, 55046, 51207, 51685, 50420, 50947, 54007, 51076, 52422, 51032, 55104, 51067, 52686, 51292, 53660, 51786, 52877, 51563, 52692, 66530, 50970, 52610, 77148, 50998, 52931, 69407, 54765, 63133, 50896, 50986, 53585, 53805, 51196, 50439, 51064, 51196, 50929, 51196, 50440, 51292, 51196, 50799, 58870, 51444, 51407, 50420, 51032, 54007, 51076, 52710, 50947, 55104, 50929, 52686, 51078, 54125, 50998, 52877, 50960, 52692, 52562, 50802, 51136, 55967, 50625, 50450, 50625, 77148, 56406, 50453, 50625, 50456, 50625, 52028, 50806, 51078, 56277, 50625, 57211, 50417, 50626, 50420, 50626, 50438, 50628, 50453, 50960, 52935, 50929, 50936, 50461, 50947, 50880, 51057, 50623, 59077, 51076, 52774, 67961, 51076, 52247, 59077, 51076, 52309, 67961, 60183, 51057, 52028, 50806, 51067, 51274, 60434, 50802, 75563, 51444, 61515, 51032, 50883, 51032, 52975, 51076, 50936, 50437, 50947, 50880, 51057, 77148, 56406, 50929, 52774, 69407, 56406, 50929, 52247, 53805, 50802, 56406, 50929, 52309, 50947, 50936, 73666, 51317, 62472, 80244, 51057, 59400, 70712, 56479, 50417, 65222, 50419, 51078, 53336, 50998, 54007, 50960, 52422, 50998, 55104, 51078, 52686, 50929, 53660, 60405, 51057, 67961, 60183, 51207, 55419, 67961, 51076, 52247, 51846, 50806, 54765, 56406, 51076, 52309, 77148, 54765, 56406, 60183, 51057, 73666, 51076, 72101, 60266, 50986, 54433, 50998, 52422, 50998, 50936, 51725, 50806, 50431, 50998, 50828, 51078, 52975, 51136, 50828, 52012, 69988, 50998, 56720, 51076, 56486, 60405, 51057, 60405, 51444, 56778, 50960, 53113, 60217, 51311, 54901, 60217, 50425, 51078, 53087, 62049, 69407, 56488, 50429, 50960, 52686, 62049, 69407, 50986, 55246, 65222, 51057, 62979, 55046, 51207, 55419, 54765, 51076, 52247, 73837, 51311, 50821, 50929, 55104, 50960, 52686, 50929, 50936, 50437, 50947, 50880, 51057, 50623, 59077, 51076, 52774, 67961, 51076, 52247, 59077, 51076, 52309, 67961, 60183, 51057, 52028, 50806, 51067, 51274, 60434, 50802, 75563, 51444, 61515, 51032, 50883, 51032, 52975, 51076, 50936, 50437, 50947, 50880, 51057, 77148, 56406, 50929, 52774, 69407, 56406, 50929, 52247, 53805, 50802, 56406, 50929, 52309, 50947, 50936, 73666, 51317, 62472, 80244, 51057, 59400, 70712, 56479, 50417, 65222, 50419, 51078, 53336, 50998, 54007, 50960, 52422, 50998, 55104, 51078, 52686, 50929, 53660, 60405, 51057, 67961, 60183, 51207, 55419, 67961, 51076, 52247, 51846, 50806, 54765, 56406, 51076, 52309, 77148, 54765, 56406, 60183, 51057, 73666, 51076, 72101, 60266, 50986, 54433, 50998, 52422, 50998, 50936, 51725, 50806, 50431, 50998, 50828, 51078, 52975, 51136, 50828, 52012, 69988, 50998, 56720, 51076, 56486, 60405, 51057, 60405, 51444, 56778, 50960, 53113, 60217, 51311, 54901, 60217, 50425, 51078, 53087, 62049, 69407, 56488, 50429, 50960, 52686, 62049, 69407, 50986, 55246, 65222, 51057, 62979, 55046, 51207, 55419, 54765, 51076, 52247, 73837, 51311, 50821, 50929, 52686, 51078, 50936, 50437, 80244, 51057, 50623, 69407, 50947, 52774, 72119, 75563, 53805, 50806, 78019, 56406, 55046, 55784, 51057, 50947, 51160, 51444, 67354, 51316, 55133, 51076, 52422, 50947, 50936, 50431, 51078, 62500, 51078, 66655, 55135, 50998, 60631, 51078, 58414, 60907, 51057, 69407, 50947, 52774, 72119, 75563, 60848, 51725, 76707, 50929, 52686, 65222, 51064, 55246, 62049, 51057, 53092, 50889, 50415, 51076, 51055, 51136, 53765, 51067, 59485, 51316, 61146, 50619, 52012, 50880, 51444, 50811, 51131, 50880, 50960, 50880, 51078, 50880, 51032, 56865, 50623, 50960, 52686, 50929, 53660, 60405, 51057, 60183, 51207, 55419, 67961, 51076, 52247, 51846, 50806, 54765, 56406, 51076, 52309, 77148, 54765, 56406, 60183, 51057, 50947, 50880, 73666, 50416, 51076, 58160, 51032, 64682, 51076, 61195, 60266, 50986, 54433, 50998, 52422, 50998, 50936, 51725, 50806, 50431, 50998, 50828, 51078, 52975, 51136, 50828, 52012, 69988, 50998, 56720, 51076, 56486, 60405, 51057, 60405, 51444, 56778, 50623, 50960, 53113, 50623, 60217, 51311, 54901, 50622, 60217, 50425, 51078, 53087, 50622, 50998, 50936, 69407, 50986, 55396, 50622, 50431, 50960, 54053, 50622, 50998, 50936, 69407, 50986, 54241, 50622, 50437, 51078, 50880, 79296, 62979, 55046, 51207, 55419, 54765, 51076, 52247, 73837, 51311, 50821, 50929, 52686, 50623, 51078, 53660, 59400, 51057, 50623, 69407, 50947, 52774, 72119, 75563, 53805, 50806, 78019, 56406, 55046, 55784, 51057, 50947, 51160, 51444, 67354, 51316, 55133, 51076, 52422, 50947, 50936, 50431, 51078, 62500, 51078, 66655, 55135, 50998, 60631, 51078, 58414, 60907, 51057, 69407, 50947, 52774, 72119, 75563, 60848, 51725, 76707, 50929, 52686, 65222, 51064, 55246, 62049, 51057, 53092, 50889, 50415, 51076, 51055, 51136, 53765, 51067, 59485, 51316, 61146, 50619, 52012, 50880, 51444, 50811, 51131, 50880, 50960, 50880, 51078, 50880, 51032, 56865, 50623, 50960, 52686, 50929, 53660, 60405, 51057, 60183, 51207, 55419, 67961, 51076, 52247, 51846, 50806, 54765, 56406, 51076, 52309, 77148, 54765, 56406, 60183, 51057, 50947, 50880, 73666, 50416, 51076, 58160, 51032, 64682, 51076, 61195, 60266, 50986, 54433, 50998, 52422, 50998, 50936, 51725, 50806, 50431, 50998, 50828, 51078, 52975, 51136, 50828, 52012, 69988, 50998, 56720, 51076, 56486, 60405, 51057, 60405, 51444, 56778, 50960, 53113, 60217, 51311, 54901, 50960, 52422, 62049, 70712, 50986, 58542, 51078, 52686, 50929, 53660, 60405, 51057, 50623, 73837, 59400, 51076, 56191, 51067, 53113, 51311, 50821, 59400, 51067, 54007, 51067, 52422, 51067, 50936, 73829, 58308, 50431, 51032, 50883, 51032, 52975, 51076, 53660, 76522, 51057, 51032, 50936, 56479, 50419, 51076, 50883, 51076, 53336, 50947, 50936, 50425, 50929, 53939, 70442, 51444, 58542, 60405, 50431, 50947, 52975, 50929, 53660, 65222, 51057, 51207, 58718, 51067, 53113, 65611, 62979, 50929, 54901, 51067, 52422, 50622, 51549, 50880, 73829, 58308, 50428, 51292, 56865, 51786, 62941, 51292, 53695, 51067, 62268, 51032, 56486, 51076, 62256, 62629, 51057, 51316, 50880, 70712, 50416, 51067, 58160, 51292, 64941, 51067, 54402, 51032, 61135, 51076, 56299, 50947, 62588, 50929, 53939, 51076, 50880, 70712, 50428, 51032, 56865, 51067, 62941, 51032, 53695, 51076, 62268, 51032, 55310, 50998, 62256, 51078, 50836, 51057, 62979, 55046, 51207, 55419, 54765, 51076, 52247, 73837, 51311, 50821, 59400, 74734, 50423, 50960, 52422, 51311, 51160, 50929, 71832, 60217, 60405, 50799, 55046, 51076, 52774, 70442, 50929, 54901, 51076, 52422, 55046, 51076, 52309, 55046, 51076, 52322, 59077, 55046, 51076, 52692, 52028, 52610 ]
[ 0, 1121, 42, 15352, 30054, 5175, 2214, 6, 41, 21979, 8669, 8, 3459, 13305, 185, 5, 483, 6, 7513, 30, 5, 2216, 4069, 9, 10, 17465, 102, 8, 3459, 9590, 4, 590, 10, 2635, 20889, 9, 1191, 13410, 228, 2289, 8, 10, 231, 73, 398, 86, 6543, 6, 5, 2125, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 657, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 272, 6, 8, 230, 35315, 1328, 5, 2214, 6, 2351, 10, 1472, 9, 30234, 8, 31657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 51540, 50622, 50474, 51816, 72909, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 52045, 50420, 51959, 53182, 51816, 57858, 54716, 50909, 51918, 52158, 70113, 50909, 51798, 51959, 54891, 59331, 50909, 60773, 50872, 54716, 56696, 50474, 51816, 70113, 56696, 50480, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 59047, 52569, 53182, 52577, 57858, 54716, 50909, 51918, 52092, 70113, 50909, 51798, 51959, 53677, 58311, 68456, 56083, 76621, 51959, 50983, 50462, 50868, 55914, 56696, 50474, 51771, 61863, 56696, 50480, 51816, 50795, 51540, 52158, 54891, 64700, 64276, 50807, 56413, 59047, 52158, 51631, 52158, 51736, 52158, 57858, 55599, 56528, 51918, 51959, 54891, 55599, 56528, 51798, 52158, 54891, 59331, 68456, 53749, 76621, 51816, 60773, 50872, 54716, 56696, 50468, 51816, 59369, 50872, 54716, 56696, 50480, 52158, 50795, 51540, 51816, 53677, 58311, 68456, 56083, 52045, 50420, 51771, 51631, 51959, 51736, 51959, 78775, 55914, 50909, 51918, 50868, 55914, 50909, 51798, 50868, 58311, 50909, 60773, 50868, 55914, 56696, 50474, 51816, 61863, 56696, 50480, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 52045, 50420, 51959, 53182, 51816, 57858, 54716, 50909, 51918, 52158, 70113, 50909, 51798, 51959, 54891, 59331, 50909, 60773, 50872, 54716, 56696, 50474, 51816, 70113, 56696, 50480, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 59047, 52569, 53182, 52577, 57858, 54716, 50909, 51918, 52092, 70113, 50909, 51798, 51959, 53677, 58311, 68456, 56083, 76621, 51959, 50983, 50462, 50868, 55914, 56696, 50474, 51771, 61863, 56696, 50480, 51816, 50795, 51540, 52158, 57858, 64700, 64276, 50807, 56413, 59047, 52158, 53182, 52158, 57858, 55599, 56528, 51918, 51959, 54891, 55599, 56528, 51798, 52158, 54891, 59331, 68456, 53749, 76621, 51816, 60773, 50872, 54716, 56696, 50468, 51816, 59369, 50872, 54716, 56696, 50480, 52158, 50795, 51540, 51816, 53677, 58311, 68456, 56083, 52045, 50420, 51771, 51631, 51959, 62715, 50868, 55914, 50909, 51918, 50868, 55914, 50909, 51798, 50868, 58311, 50909, 60773, 50868, 55914, 56696, 50474, 52092, 61863, 56696, 50480, 52577, 50795, 51540, 52569, 54891, 64700, 64276, 50807, 56413, 52045, 50420, 52569, 53182, 52092, 57858, 55599, 56528, 51918, 52577, 54891, 55599, 56528, 51798, 52569, 50918, 50872, 64700, 64276, 60773, 59637, 60613, 50474, 52577, 54891, 55599, 60613, 50480, 52092, 50795, 51540, 51959, 57858, 50991, 67265, 80142, 53973, 52910, 52569, 57858, 50991, 67265, 80142, 53749, 52424, 52627, 57858, 50991, 67265, 80142, 53621, 53218, 50872, 77017, 51757, 52930, 51161, 50872, 51161, 50850, 51161, 51007, 51161, 52607, 51161, 51540, 51959, 52045, 52577, 52045, 52627, 52045, 53449, 71684, 56083, 52045, 50426, 53449, 56696, 51149, 51646, 53449, 56696, 51149, 51798, 53449, 56696, 51149, 51923, 50847, 62641, 50807, 51149, 80225, 53449, 71684, 50474, 50847, 62641, 50807, 51149, 50807, 51540, 52158, 52045, 52092, 52045, 52569, 52045, 50939, 60613, 68395, 56413, 52045, 50426, 50939, 60613, 51257, 51646, 50939, 60613, 51257, 51798, 50939, 60613, 51257, 51923, 50939, 64276, 50807, 51257, 80225, 50939, 60613, 51257, 64095, 50939, 64276, 50807, 51257, 50807, 51540, 51959, 50795, 52569, 50795, 52930, 54716, 56696, 68395, 53749, 52045, 50420, 51959, 50795, 52569, 50795, 52930, 54716, 56696, 51257, 51631, 51959, 50795, 52569, 50795, 52930, 54716, 56696, 51257, 51736, 51959, 50795, 52569, 50795, 52930, 53006, 62641, 50807, 51257, 53218, 72073, 56696, 51257, 51923, 72073, 56696, 68395, 50468, 72073, 56696, 51257, 64095, 50850, 62641, 50807, 51257, 50807, 51540, 51959, 52045, 52577, 52045, 52627, 52045, 53449, 71684, 56083, 52045, 50426, 53449, 56696, 51149, 51646, 53449, 56696, 51149, 51798, 53449, 56696, 51149, 51923, 50847, 62641, 50807, 51149, 80225, 53449, 71684, 50474, 50847, 62641, 50807, 51149, 50807, 51540, 52158, 52045, 52092, 52045, 52569, 52045, 50939, 60613, 68395, 56413, 52045, 50426, 50939, 60613, 51257, 51646, 50939, 60613, 51257, 51798, 50939, 60613, 51257, 51923, 50939, 64276, 50807, 51257, 80225, 50939, 60613, 51257, 64095, 50939, 64276, 50807, 51257, 50807, 51540, 51959, 50795, 52569, 50795, 52930, 54716, 56696, 68395, 53749, 52045, 50420, 51959, 50795, 52569, 50795, 52930, 54716, 56696, 51257, 51631, 51959, 50795, 52569, 50795, 52930, 54716, 56696, 51257, 51736, 51959, 50795, 52569, 50795, 52930, 53006, 62641, 50807, 51257, 53218, 72073, 56696, 51257, 51923, 72073, 56696, 68395, 50468, 72073, 56696, 51257, 64095, 50850, 62641, 50807, 51257, 50807, 51540, 51771, 76481, 68456, 56083, 51161, 55938, 53561, 51771, 50807, 55938, 53182, 51771, 55787, 55914, 56696, 55938, 53218, 51816, 61863, 56696, 56979, 51798, 51890, 54891, 59331, 68456, 53749, 51161, 55936, 51923, 51890, 50807, 55936, 60773, 50872, 54716, 56696, 50468, 51890, 50807, 55936, 59369, 50872, 54716, 56696, 50480, 51816, 50795, 56979, 50795, 51540, 52158, 54891, 64700, 64276, 50807, 56413, 51161, 57778, 52115, 52158, 50807, 57778, 53182, 52158, 57858, 55599, 60613, 57778, 53218, 52092, 54891, 55599, 60613, 55749, 51798, 51959, 53677, 58311, 68456, 56083, 51161, 55520, 51923, 51959, 50807, 55520, 60773, 50868, 55914, 56696, 50468, 51959, 50807, 55520, 59369, 50868, 55914, 56696, 50480, 51890, 50795, 55936, 50795, 51540, 51771, 76481, 68456, 56083, 51161, 55938, 53561, 51771, 50807, 55938, 53182, 51771, 55787, 55914, 56696, 55938, 53218, 51816, 61863, 56696, 56979, 51798, 51890, 54891, 59331, 68456, 53749, 51161, 55936, 51923, 51890, 50807, 55936, 60773, 50872, 54716, 56696, 50468, 51890, 50807, 55936, 59369, 50872, 54716, 56696, 50480, 51816, 50795, 56979, 50795, 51540, 52158, 54891, 64700, 64276, 50807, 56413, 51161, 57778, 52115, 52158, 50807, 57778, 53182, 52158, 57858, 55599, 60613, 57778, 53218, 52092, 54891, 55599, 60613, 55749, 51798, 51959, 76481, 68456, 56083, 50807, 55520, 59369, 51816, 72909, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 52045, 50420, 51959, 53182, 51816, 57858, 54716, 50909, 51918, 52158, 70113, 50909, 51798, 51959, 54891, 59331, 50909, 53312, 51959, 50983, 50462, 50872, 54716, 56696, 50474, 51816, 70113, 56696, 50480, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 59047, 52569, 53182, 52577, 57858, 54716, 50909, 51918, 52092, 70113, 50909, 51798, 51959, 53677, 58311, 68456, 56083, 76621, 51959, 50983, 50462, 50868, 55914, 56696, 50474, 51771, 61863, 56696, 50480, 51816, 50795, 51540, 52158, 54891, 64700, 64276, 50807, 56413, 59047, 52158, 51631, 52158, 51736, 52158, 57858, 55599, 56528, 51918, 51959, 54891, 55599, 56528, 51798, 52158, 54891, 59331, 68456, 53749, 76621, 51816, 60773, 50872, 54716, 56696, 50468, 51816, 59369, 50872, 54716, 56696, 50480, 52158, 50795, 51540, 51816, 53677, 58311, 68456, 56083, 52045, 50420, 51771, 51631, 51959, 51736, 51959, 61863, 50909, 51646, 51959, 53218, 50868, 55914, 50909, 51798, 50868, 58311, 50909, 60773, 50868, 55914, 56696, 50474, 51816, 61863, 56696, 50480, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 52045, 50420, 51959, 53182, 51816, 57858, 54716, 50909, 51918, 52158, 70113, 50909, 51798, 51959, 54891, 59331, 50909, 60773, 50872, 54716, 56696, 50474, 51816, 70113, 56696, 50480, 52158, 50795, 51540, 51959, 54891, 59331, 68456, 53749, 59047 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 2020, 3548, 6, 38668, 11212, 6, 8, 3741, 27374, 594, 6, 2351, 10, 1372, 8, 33558, 5466, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 230, 119, 6, 163, 428, 6, 2060, 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 ]
[ 57333, 50796, 50461, 51530, 51210, 61464, 76153, 63164, 61771, 50836, 51281, 74718, 50836, 52828, 51051, 52131, 50836, 52814, 50887, 51891, 50836, 50945, 50887, 53792, 50833, 57539, 50854, 55995, 59249, 53477, 50907, 50419, 51530, 70304, 57584, 50992, 64278, 50828, 69025, 51281, 62737, 50828, 52828, 50984, 52131, 50828, 52814, 50818, 51891, 50828, 50945, 50836, 53792, 50886, 57539, 50904, 55995, 76247, 53477, 64367, 50872, 77444, 61937, 50839, 67871, 51281, 73417, 50839, 52131, 50839, 52814, 50828, 51891, 50839, 50945, 50862, 53792, 50857, 57539, 50862, 55995, 58304, 51530, 50862, 52828, 51319, 50425, 53477, 53896, 57584, 50992, 61937, 50828, 69025, 51281, 73417, 50828, 52131, 50828, 52814, 50828, 51891, 50828, 50945, 50862, 53792, 51008, 57539, 50925, 55995, 59953, 51530, 50886, 52828, 77045, 53477, 70813, 50872, 67231, 50884, 50909, 50828, 51281, 50884, 51092, 50828, 51061, 50809, 52131, 50809, 52814, 50884, 51891, 50828, 50945, 50836, 55995, 50941, 61464, 76153, 61056, 61771, 50836, 51281, 65889, 50836, 51530, 50851, 52828, 50851, 52131, 50836, 52814, 50809, 51891, 50836, 50945, 50880, 53792, 50836, 57539, 50887, 55995, 64580, 53477, 77678, 51530, 54819, 57584, 50992, 64278, 50828, 69025, 51281, 62737, 50828, 53477, 50908, 52828, 51000, 52131, 50828, 52814, 50818, 51891, 50828, 68685, 53792, 50828, 57539, 50884, 55995, 54579, 50872, 77444, 61937, 50841, 67871, 51281, 50828, 69704, 51530, 50855, 52131, 50839, 52814, 50828, 51891, 50841, 50945, 50855, 53792, 50828, 57539, 50818, 55995, 59095, 53477, 50928, 52828, 72769, 57584, 50992, 61937, 50841, 69025, 51281, 50828, 69704, 51530, 50886, 52828, 50904, 52131, 50828, 52814, 50828, 51891, 50841, 50945, 50862, 53792, 50835, 57539, 50835, 55995, 66518, 53477, 64044, 57584, 50992, 61283, 50828, 69025, 51281, 65805, 50828, 51530, 50812, 52828, 50810, 53477, 50907, 52131, 50828, 52814, 50846, 51891, 50828, 50945, 50836, 53792, 50857, 57539, 50828, 55995, 50839, 65551, 64266, 76691, 50890, 51341, 64407, 50890, 51193, 50890, 51546, 50886, 51810, 50813, 53167, 50887, 51707, 50890, 52391, 50890, 51105, 50880, 55751, 50836, 54531, 50887, 55833, 64580, 53463, 68353, 51546, 50971, 51810, 54819, 50979, 62048, 50828, 59902, 51341, 50841, 51020, 50828, 51193, 50828, 53463, 50870, 53167, 50841, 51707, 50828, 52391, 50828, 51105, 50887, 55751, 50828, 54531, 50884, 55833, 54069, 50979, 64780, 50863, 50939, 50837, 51341, 77282, 50863, 51193, 50837, 51546, 50862, 51810, 51126, 53167, 50837, 51707, 50863, 52391, 50837, 51105, 50813, 55751, 50836, 54531, 50828, 55833, 59095, 53463, 53356, 50979, 59947, 62956, 50837, 51341, 50834, 51020, 50834, 51193, 50837, 51546, 50835, 51810, 50837, 53167, 50834, 51707, 50834, 52391, 50837, 51105, 50862, 55751, 50836, 54531, 50840, 55833, 56670, 53463, 56609, 50979, 58367, 50840, 59902, 51193, 50828, 51341, 62905, 50840, 51546, 50874, 53167, 50836, 51707, 50840, 52391, 50828, 51105, 50836, 55751, 50836, 54531, 50836, 55833, 61799, 51810, 50907, 53463, 56573, 57601, 51717, 50461, 77334, 50809, 65551, 61031, 76691, 50809, 51341, 50818, 53463, 50891, 51020, 50890, 51193, 50809, 53167, 50818, 51707, 50890, 52391, 50809, 51105, 50887, 55751, 50828, 54531, 50895, 55833, 61923, 77334, 54878, 50979, 59681, 50818, 59902, 51341, 68127, 73938, 50828, 53167, 50828, 51707, 50818, 52391, 50828, 51105, 50887, 55751, 50863, 53792, 50820, 54531, 50839, 55833, 54069, 50979, 61574, 67131, 50820, 51341, 50839, 51020, 50828, 51193, 50820, 51546, 50828, 51810, 50828, 53463, 50863, 53167, 50839, 51707, 50828, 52391, 50820, 51105, 50836, 55751, 50836, 54531, 50818, 55833, 52992, 50979, 61574, 67131, 50839, 51341, 50839, 51020, 50828, 51193, 50839, 51810, 50828, 53463, 50870, 51546, 50862, 53167, 50839, 51707, 50828, 52391, 50839, 51105, 50836, 55751, 50828, 54531, 50818, 55833, 54694, 50979, 58367, 50840, 59902, 51193, 50828, 51546, 50828, 51810, 50846, 51341, 62905, 50840, 53463, 50855, 53167, 50836, 51707, 50840, 52391, 50828, 51105, 50836, 55751, 50836, 54531, 50809, 55833, 61629, 51530, 50857, 51385, 68752, 52828, 52445, 63649, 64443, 50887, 50992, 50836, 51495, 61771, 50887, 51281, 50836, 54136, 50836, 52131, 50887, 52814, 50836, 51228, 50880, 57042, 50828, 53792, 50887, 57539, 64682, 51385, 79599, 54402, 51017, 63219, 73692, 50825, 51495, 50820, 62790, 51281, 50825, 52828, 50891, 54136, 50820, 52131, 50841, 52814, 50825, 51228, 50887, 57042, 50828, 53792, 50884, 57539, 54069, 51017, 50841, 57584, 50992, 50820, 51495, 50841, 69025, 68396, 51385, 50834, 51530, 50820, 52828, 51004, 54136, 50841, 52131, 50828, 52814, 50820, 51228, 50855, 57042, 50836, 53792, 50840, 57539, 52524, 51017, 65967, 50992, 50839, 51495, 50828, 69025, 51281, 69349, 50825, 51530, 50863, 52828, 50837, 54136, 50828, 52131, 50828, 52814, 50839, 51228, 50836, 57042, 50839, 53792, 50828, 57539, 64561, 51385, 55001, 51017, 64443, 50840, 50992, 50836, 51530, 50839, 51495, 61771, 50840, 51281, 50836, 52828, 50813, 54136, 50836, 52131, 50840, 52814, 50836, 51228, 50887, 57042, 50836, 53792, 50846, 57539, 50813, 55833, 60631, 50752, 50338, 52337, 50752, 50340, 52096, 50461, 51385, 50886, 51530, 50887, 52828, 50941, 63649, 61671, 50887, 50992, 50836, 51495, 63218, 50887, 51281, 50836, 54136, 50809, 52131, 50887, 52814, 50836, 51228, 50880, 59785, 54373, 57042, 50818, 53792, 50880, 57539, 60400, 51385, 55105, 51017, 67097, 50884, 50992, 50828, 51495, 50828, 51061, 50884, 51281, 50828, 52828, 50982, 51530, 50857, 54136, 50828, 52131, 50884, 52814, 50828, 51228, 50836, 57042, 50828, 53792, 50884, 57539, 54069, 51017, 65967, 50992, 50834, 51495, 50828, 69025, 71893, 51385, 75091, 50828, 52828, 50837, 54136, 50828, 52131, 50828, 52814, 50834, 51228, 50836, 57042, 50836, 53792, 50884, 57539, 59824, 51385, 50825, 51530, 52928, 51017, 67097, 74643, 50828, 51495, 50828, 51061, 50818, 51281, 50828, 52828, 50863, 54136, 50828, 52131, 50818, 52814, 50828, 51228, 50846, 57042, 50846, 53792, 50884, 57539, 63601, 51385, 50835, 51530, 50839, 52828, 61036, 51017, 64443, 50887, 50992, 50828, 51281, 50828, 51495, 61771, 50887, 54136, 50836, 52131, 50887, 52814, 50828, 51228, 50836, 57042, 50855, 53792, 50836, 57539, 60870, 51092, 50912, 51403, 50874, 59560, 62427, 64266, 50836, 51118, 73884, 64407, 50836, 51810, 50827, 52344, 50836, 52181, 50887, 51707, 50836, 69019, 54062, 50828, 55015, 50818, 54531, 52981, 50885, 63117, 61483, 50837, 78037, 51089, 68971, 50837, 51092, 50864, 51403, 50857, 52344, 50837, 52181, 50825, 51707, 50837, 69019, 54062, 50837, 55015, 50829, 54531, 53899, 50885, 60576, 58178, 50835, 51118, 50820, 51089, 50820, 51020, 50835, 51092, 50837, 51403, 50835, 51810, 50863, 52344, 50820, 52181, 50820, 51707, 50835, 50964, 50855, 54062, 50867, 55015, 50834, 54531, 58964, 51403, 50837, 51810, 52917, 50885, 65289, 61574, 50834, 51118, 50839, 51089, 50839, 51020, 50834, 51092, 51258, 52344, 50839, 52181, 50839, 51707, 50834, 50964, 50836, 54062, 50837, 55015, 50837, 54531, 68564, 51092, 50941, 51403, 50867, 51810, 61660, 50885, 62427, 58269, 68127, 75398, 73884, 50809, 52344, 50836, 52181, 50809, 51707, 50828, 50964, 50840, 54062, 50813, 55015, 50837, 54531, 57243, 51092, 51319, 51810, 51000, 51403, 50874, 59560, 50912, 50868, 54190 ]
[ 0, 250, 25306, 19834, 15229, 14, 28337, 4785, 9, 15855, 930, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 1515, 21305, 6, 8, 12405, 38668, 3038, 4, 20, 2125, 7630, 6568, 41, 9066, 8, 3722, 5466, 6, 10686, 13, 822, 4391, 6, 150, 6780, 10, 19448, 8, 5679, 26709, 26438, 1264, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 7212, 20889, 9, 5663, 13410, 228, 2289, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 274, 119, 8, 272, 4, 20, 3459, 9590, 1639, 10, 2705, 4811, 1328, 42, 13363, 28191, 4388, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57211, 50799, 52830, 50802, 51638, 51388, 50416, 54235, 56111, 52830, 51167, 50421, 54235, 69788, 54235, 60324, 52316, 69657, 51299, 50879, 50437, 54235, 53891, 51299, 50941, 51301, 50923, 51165, 50923, 51093, 52136, 51394, 51314, 50439, 54235, 50838, 54138, 57536, 51301, 51160, 54138, 64529, 54235, 70853, 54138, 51851, 50448, 54235, 52179, 50450, 51375, 51388, 54138, 64364, 54138, 50904, 54235, 51524, 50456, 51093, 51167, 54138, 66585, 54235, 50870, 54138, 60863, 54235, 50813, 54138, 50891, 73296, 50806, 51394, 59413, 54235, 50829, 54138, 59834, 54138, 64523, 54235, 53829, 51266, 51160, 54138, 62907, 54235, 54579, 54138, 61880, 54235, 61396, 54138, 52524, 51629, 50802, 54235, 68016, 54138, 57860, 54235, 62357, 54138, 50841, 54235, 52927, 51304, 51158, 50433, 54138, 50841, 54235, 55486, 54138, 62586, 54235, 52676, 51733, 50806, 53089, 50802, 54235, 50949, 54138, 62078, 54235, 50817, 54138, 60547, 54138, 53239, 51733, 51354, 54235, 50817, 54138, 59673, 54235, 50949, 54138, 61762, 54138, 59433, 54235, 52568, 52838, 50923, 50451, 54138, 64563, 54235, 54085, 54138, 57208, 54138, 59713, 54235, 52193, 53506, 50923, 54138, 57735, 54235, 58150, 54138, 59652, 54235, 50811, 50799, 51887, 51449, 51201, 51192, 51690, 51192, 52324, 51184, 54720, 51592, 52133, 52528, 51743, 51381, 51656, 52335, 51711, 51422, 52036, 52062, 50684, 50321, 53588, 50684, 50325, 52335, 50684, 50333, 51204, 53151, 51677, 56065, 51585, 57849, 51933, 51206, 77076, 51266, 50821, 51733, 55747, 51201, 50937, 51690, 55889, 51266, 51192, 51733, 51175, 52033, 50932, 50684, 50332, 51191, 50432, 51107, 50910, 51384, 69740, 51266, 50921, 51733, 58818, 51107, 51055, 51384, 51016, 51881, 51097, 50684, 50330, 50981, 50449, 51093, 54145, 51304, 51016, 52133, 50867, 50684, 50328, 51003, 50461, 51395, 50975, 50799, 52481, 51445, 51811, 51175, 53121, 51184, 57166, 51359, 52402, 51097, 51615, 51671, 51863, 51313, 52340, 51151, 50684, 50319, 51243, 69488, 51445, 50684, 50331, 51054, 53343, 51469, 53883, 51469, 58047, 63560, 51107, 50921, 51384, 75177, 51395, 50823, 51811, 58798, 51107, 50806, 51384, 51158, 51881, 51542, 50684, 50330, 57421, 51093, 50910, 51304, 64759, 51107, 51014, 51384, 52729, 51093, 51054, 51304, 51419, 52133, 51108, 50684, 50328, 70447, 51165, 50824, 51394, 51056, 53181, 51775, 50684, 50326, 51055, 50799, 51883, 52337, 51093, 52570, 51201, 52250, 52324, 51605, 52626, 52024, 53718, 53002, 50945, 57044, 64580, 52907, 52250, 51887, 51717, 51299, 53002, 51154, 52122, 51302, 53860, 50945, 52411, 53219, 50945, 61846, 56068, 50852, 51009, 63005, 50447, 51326, 54185, 51289, 53017, 51289, 50886, 50799, 52324, 51894, 50945, 57044, 50836, 51302, 53860, 50945, 55146, 53219, 50945, 61846, 56068, 50852, 51009, 63005, 50447, 51326, 54185, 51289, 53017, 51289, 50886, 50799, 52324, 51413, 54720, 51184, 51743, 51184, 51656, 51184, 52430, 51009, 50700, 50345, 51328, 50945, 64418, 50836, 50749, 50309, 51352, 75232, 51407, 69000, 51407, 62760, 50976, 50415, 53151, 54226, 50700, 50344, 50886, 68740, 54007, 50700, 50345, 51008, 62760, 55889, 50700, 50344, 51328, 54012, 53694, 50867, 68740, 52030, 64298, 50874, 50945, 53662, 50828, 65097, 53660, 50700, 50344, 51008, 68740, 62591, 52324, 51446, 52886, 51066, 64298, 51542, 50945, 51527, 52601, 52299, 50828, 65097, 62104, 50852, 51009, 63005, 50446, 52626, 51066, 50447, 51326, 54185, 59151, 51097, 51836, 51059, 51289, 50829, 67374, 66395, 52430, 61828, 51289, 50886, 50799, 53121, 51300, 57166, 51184, 52402, 51184, 51615, 51184, 52137, 51184, 50700, 50343, 51423, 51105, 51573, 53343, 52299, 50836, 50749, 50307, 60504, 50319, 52369, 66349, 51585, 72282, 63853, 64298, 50874, 65097, 54007, 50700, 50343, 51008, 72282, 53537, 64298, 50974, 52601, 57623, 50867, 65097, 51388, 50432, 59151, 51008, 51105, 55146, 50828, 67374, 64411, 64298, 51008, 65097, 55734, 53121, 52097, 59151, 51097, 51105, 51009, 51836, 52299, 50828, 67374, 50896, 50439, 50852, 51009, 63005, 50447, 51326, 54185, 57204, 51097, 51289, 50829, 73805, 67067, 52032, 75487, 51289, 50886, 50799, 52913, 51364, 58366, 51184, 53181, 53435, 53100, 51795, 51743, 51732, 52036, 51009, 64092, 51423, 51096, 76727, 50836, 50749, 50302, 51352, 50749, 50314, 51933, 50749, 50317, 51352, 75232, 52369, 71076, 50975, 50415, 53916, 54226, 59151, 50874, 67374, 53184, 64092, 50874, 71076, 53537, 59151, 60344, 50867, 67374, 50976, 50427, 51836, 53566, 57204, 50874, 51096, 53579, 50828, 73805, 53660, 59151, 51008, 67374, 55734, 52913, 51285, 52137, 51029, 57204, 51097, 51096, 51196, 67003, 73805, 51054, 50439, 52032, 71779, 51009, 63005, 50447, 51326, 54185, 56726, 51097, 51289, 50829, 50666, 50300, 51072, 50451, 52541, 66395, 53389, 54146, 52430, 76999, 51289, 50886, 50799, 52324, 51477, 52820, 50813, 54720, 51184, 53389, 51469, 52133, 52208, 51711, 51184, 52430, 50820, 52735, 50846, 59151, 51939, 50945, 51573, 51836, 58583, 50836, 50749, 50309, 51585, 50749, 50313, 51538, 50749, 50314, 50841, 73468, 51692, 75232, 51352, 67374, 50952, 50417, 73805, 55573, 67374, 52369, 51302, 53860, 50945, 53662, 53219, 52324, 51204, 50945, 69831, 56068, 50852, 51009, 63005, 50447, 51326, 54185, 51289, 53017, 51289, 50886, 50799, 58366, 51732, 53181, 52250, 53100, 51184, 51863, 51009, 51096, 75277, 50836, 50749, 50302, 52500, 50749, 50314, 51933, 50749, 50317, 51352, 75232, 51933, 51302, 50867, 51974, 53219, 51711, 50993, 51096, 53662, 56068, 50852, 51009, 63005, 50446, 52414, 51066, 50447, 51096, 51685, 51326, 54185, 51289, 57690, 52036, 66911, 51289, 50886, 50799, 53188, 73088, 50836, 50749, 50302, 51274, 50749, 50314, 51680, 50749, 50317, 51407, 50749, 50324, 52311, 50422, 52255, 53435, 51302, 63432, 52036, 65135, 51096, 51747, 53219, 53188, 50975, 51096, 75277, 56068, 50852, 51009, 63005, 50446, 52036, 51454, 50447, 51326, 54185, 51289, 57690, 53188, 61828, 51289, 50886, 50799, 55793, 51732, 52133, 53501, 52033, 53501, 51615, 52149, 52626, 51732, 50964, 64418, 50836, 50749, 50304, 53435, 50749, 50306, 52231, 73468, 52500, 50749, 50320, 51795, 66349, 53435, 51302, 53860, 50964, 55146, 58414, 53883, 51484, 56107, 56681, 56068, 58047, 51460, 50852, 51009, 63005, 50446, 54012, 51112, 50447, 53883, 63841, 54185, 51289, 58677, 53883, 50834, 58047, 65563, 51289, 50886, 52534, 51059, 53883, 51353, 57849, 58583, 50836, 51302, 63432, 50749, 50304, 51295, 77719, 53662, 53219, 50964, 56681, 50828, 73468, 51115, 50749, 50320, 51274, 66349, 51189, 50439, 50852, 51009, 63005, 50447, 51326, 54185, 51289, 53017, 51289, 50886, 50799, 54720, 51184, 51743, 51307, 51615, 50846, 51656, 51469, 52430, 51009, 50945, 57044, 50836, 50749, 50309, 51518, 73468, 51662, 75232, 51933, 69000, 51352, 62760, 59413, 53151, 54226, 68740, 52801, 62760, 50897, 51302, 50867, 68740, 50923, 50427, 54012, 53566, 50945, 52411, 50828, 65097, 53660, 68740, 53925, 52886, 51066, 50945, 56681, 50828, 65097, 62104, 52601, 55848, 51009, 63005, 50446, 52626, 51066, 50447, 51326, 54185, 51836, 51054, 51289, 50829, 67374, 51054, 50454, 52430, 61828, 51289, 50886, 50799, 57166, 51184, 52402, 51184, 51615, 51359, 52137, 51184, 51105, 51059, 53343, 52299, 50836, 50749, 50307, 51585, 50749, 50314, 51486, 50749, 50319, 51352, 66349, 51352, 72010, 51538, 72282, 63853, 65097, 54007 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 27456, 6, 42, 15229, 11, 230, 3694, 1575, 10, 12280, 3275, 1725, 3109, 6, 6755, 12547, 6, 9590, 3863, 6, 6168, 3540, 6, 8, 2342, 4467, 4, 20, 20889, 16, 278, 23, 41, 20425, 12447, 1001, 6, 8, 5, 204, 73, 306, 86, 6543, 4719, 5, 2125, 1375, 556, 4, 20, 33215, 16739, 9, 272, 6, 230, 119, 6, 274, 119, 6, 163, 428, 6, 8, 12608, 3639, 7, 5, 9066, 8, 2829, 2933, 5466, 6, 442, 24, 10686, 13, 822, 4391, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 53157, 50995, 51154, 50995, 51375, 50995, 51093, 50995, 51201, 50995, 52292, 50995, 53324, 50995, 51975, 50995, 52342, 58187, 52915, 50995, 52338, 50995, 51299, 50995, 52550, 56656, 53712, 50995, 56708, 50995, 51887, 50995, 53571, 57991, 53445, 50905, 56049, 50905, 51699, 50905, 53029, 54509, 53445, 50905, 56049, 50905, 51699, 50905, 53029, 50905, 50799, 55444, 50905, 56177, 50905, 52316, 50905, 54769, 55126, 53712, 50905, 56708, 50905, 51887, 50905, 53571, 54335, 53453, 51318, 54277, 51318, 51638, 51318, 53296, 51318, 50444, 55444, 50822, 56177, 50822, 52316, 50822, 54769, 55118, 53445, 50822, 56049, 50822, 51699, 50822, 53029, 53140, 55444, 50905, 56177, 50905, 52316, 50905, 54769, 54509, 53453, 50905, 54277, 50905, 51638, 50905, 53296, 50905, 50799, 52915, 50905, 52338, 50905, 77395, 52550, 55126, 55444, 50905, 56177, 50905, 52316, 50905, 54769, 54335, 55465, 51318, 54541, 50995, 51794, 51318, 53882, 51318, 50444, 52915, 50822, 52338, 50905, 51299, 50822, 52550, 55118, 53453, 50822, 51638, 50822, 53296, 53140, 52915, 50905, 52338, 50905, 77395, 52550, 54509, 52915, 50905, 52338, 50905, 77395, 52550, 50905, 50799, 53157, 50905, 51996, 69944, 50905, 52292, 55126, 53453, 50905, 54277, 50905, 51638, 50905, 53296, 54335, 53453, 51318, 54277, 50995, 51638, 51318, 53296, 51318, 50444, 52915, 50822, 54541, 50905, 51299, 50822, 52550, 55118, 55465, 50822, 51794, 50822, 53882, 53140, 52915, 50905, 52338, 50905, 77395, 52550, 54509, 53453, 50905, 54277, 50905, 51638, 50905, 53296, 50905, 50799, 55444, 50995, 56177, 50995, 52316, 50995, 54769, 58187, 53445, 50995, 56049, 50995, 51699, 50995, 53029, 56656, 53712, 50995, 56708, 50995, 51887, 50995, 53571, 57991, 53157, 50995, 53157, 50995, 51154, 50995, 51154, 50995, 52292, 50995, 50799, 52915, 50995, 52915, 50995, 51299, 50995, 52550, 60726, 56177, 50905, 52316, 50905, 54769, 54335, 53013, 50905, 53013, 50905, 56049, 50905, 51699, 50905, 51251, 50905, 53029, 50905, 52573, 57648, 53013, 50905, 53013, 50905, 56708, 50905, 51887, 50905, 51251, 50905, 53571, 54137, 53699, 50905, 53699, 50905, 52338, 50995, 79538, 51299, 50995, 52550, 50995, 53334, 55103, 52915, 50905, 52915, 50905, 77395, 52550, 54323, 53157, 51318, 53157, 51318, 51154, 51318, 52292, 51318, 50456, 52665, 50905, 51251, 50905, 52573, 50905, 50799, 56049, 50905, 51699, 50905, 53029, 55126, 53699, 50822, 53699, 50822, 56117, 50905, 51426, 50822, 52065, 50905, 53895, 50905, 53334, 54252, 53013, 50822, 53013, 50822, 51251, 50822, 52573, 52921, 53699, 50905, 53699, 50905, 52338, 50905, 77395, 79538, 52550, 50905, 53334, 54342, 53157, 50905, 53157, 50905, 52665, 50905, 51251, 69944, 50905, 52573, 50905, 52292, 54137, 53060, 50905, 53060, 50905, 52695, 50905, 79538, 69435, 53334, 50905, 52049, 55103, 53699, 50905, 53699, 50905, 52338, 50905, 77395, 79538, 52550, 50905, 53334, 54323, 55826, 50995, 55826, 50995, 51996, 69944, 50905, 51375, 51318, 52292, 50905, 53324, 51318, 50456, 51996, 69944, 50905, 52292, 50905, 50799, 53453, 51318, 54277, 50995, 51638, 51318, 53296, 51318, 52292, 50905, 52044, 78377, 53060, 50905, 69435, 52049, 54252, 52292, 52921, 53060, 50905, 69435, 52049, 54342, 53699, 50905, 53060, 50905, 52695, 50905, 79538, 69435, 53334, 50905, 52049, 50905, 52443, 54137, 56848, 50905, 55444, 51318, 56177, 51318, 75491, 52316, 51318, 54769, 51318, 52049, 50995, 51975, 59791, 53157, 69944, 54323, 53157, 50995, 51154, 50995, 52292, 50995, 51975, 50995, 52342, 51318, 50456, 55444, 50905, 56177, 50905, 52316, 50905, 54769, 50905, 50799, 53445, 50905, 56049, 50905, 51699, 50905, 53029, 50905, 52049, 50905, 52797, 55126, 55727, 50905, 55826, 50905, 56117, 50905, 52065, 50905, 51375, 50905, 53895, 50905, 53324, 50905, 52044, 50905, 52342, 54335, 52915, 50905, 53060, 50905, 52338, 50905, 77395, 69435, 52550, 50905, 52049, 50905, 51975, 50905, 52895, 54342, 53712, 50905, 53157, 50905, 56708, 50905, 51887, 69944, 50905, 53571, 50905, 52292, 50905, 53324, 50905, 52044, 54137, 53445, 50995, 53699, 50995, 56049, 50995, 51699, 50995, 51426, 50995, 53029, 50995, 53334, 50995, 52049, 50995, 51975, 57991, 60749, 50995, 53013, 50995, 54277, 50995, 52776, 50995, 51251, 50995, 59112, 50995, 52573, 50995, 52049, 50995, 52797, 50995, 50799, 55570, 50905, 52915, 50995, 52338, 50905, 52143, 50905, 51299, 50995, 55411, 50905, 53334, 50995, 52049, 50995, 51975, 60726, 53453, 50905, 54277, 50905, 51638, 50905, 53296, 54335, 55444, 50905, 51752, 50995, 56177, 50905, 52316, 50905, 51093, 50995, 54769, 50905, 52550, 50905, 52292, 50905, 51975, 57648, 53445, 50905, 56049, 50905, 51699, 50905, 53029, 50905, 53296, 50905, 52740, 54137, 55444, 50995, 53124, 50995, 56177, 50995, 52316, 50995, 51154, 50995, 54769, 50995, 52550, 50995, 52292, 59791, 52915, 50905, 51299, 54323, 53453, 50905, 53013, 50905, 52182, 50905, 54277, 50905, 51638, 50905, 51251, 50905, 69435, 53296, 50905, 52573, 50905, 52049, 58843, 52915, 50905, 54670, 50905, 52182, 50905, 52338, 50905, 77395, 51301, 50905, 69435, 52550, 50905, 53334, 50905, 50799, 53712, 50995, 53157, 50995, 53320, 50905, 56708, 50995, 51375, 50905, 51887, 50995, 51154, 50995, 53571, 50995, 52550, 50905, 52292, 50905, 53324, 55126, 53124, 69944, 50905, 52292, 54335, 52315, 51318, 51165, 51318, 52443, 51318, 50432, 53060, 50905, 53060, 50905, 69435, 69435, 52049, 54137, 52915, 50905, 52915, 50905, 77395, 77395, 52550, 55103, 54670, 50905, 54670, 50905, 53320, 50822, 51375, 50822, 51301, 50905, 51301, 50905, 52740, 50905, 53324, 55118, 52182, 50822, 51088, 50822, 52049, 53140, 53157, 50905, 53157, 50905, 53320, 69944, 69944, 50905, 51375, 50905, 52292, 50905, 53324, 54509, 53060, 50905, 53060, 50905, 52315, 50905, 69435, 69435, 70706, 52049, 50905, 52443, 50905, 50799, 55826, 50905, 55826, 50905, 51752, 50905, 51375, 50905, 51375, 50905, 75491, 53324, 50905, 51975, 55126, 53157, 50905, 53157, 50905, 53320, 69944, 69944, 50905, 51375, 50905, 52292, 50905, 53324, 54335, 55705, 50905, 55705, 50905, 52671, 50995, 70706, 70706, 51488, 50995, 52443, 50905, 53634, 51318, 50432, 55705, 50905, 55705, 50905, 70706, 70706, 52443, 54137, 53699, 50995, 53699, 50995, 51426, 50995, 51426, 50995, 53334, 59791, 51752, 50905, 75491, 51975, 55118, 52443, 53140, 51752, 50905, 75491, 51975, 54509, 55826, 50905, 55826, 50905, 51752, 50905, 51375, 50905, 51375, 50905, 75491, 53324, 50905, 51975, 50905, 50799, 55465, 51318, 55465, 51318, 51606, 50905, 51201, 50905, 51794, 51318, 51794, 51318, 53882, 51318, 52342, 55126, 52315, 50905, 70706, 52443, 54335, 52315, 50995, 78256, 52443, 51318, 50432, 55465, 50905, 55465, 50905, 51794, 50905, 51794, 50905, 53882, 54137, 52915, 50905, 52915, 50905, 77395, 77395, 52550, 55103, 54670, 50905, 54670, 50905, 52671, 50905, 51301, 50905, 51301, 50905, 51488, 50905, 52740, 50905, 51975, 55118, 53634, 53140, 53157, 50905, 53157, 50905, 51752, 69944, 69944, 50905, 75491, 52292, 50905, 51975, 54509, 53060, 50905, 53060, 50905, 52315, 50905, 69435, 69435, 70706, 52049, 50905, 52443, 50905, 50799, 52915, 50995, 52915, 50995, 53320, 50995, 51299, 50995, 51299, 50995, 51375, 50995, 52550, 50995, 53324, 58187, 52915, 50995, 54670, 50995, 52182, 50995, 52338, 50995, 51299, 50995, 51301, 50995, 78035, 52550, 50995 ]
[ 0, 713, 17627, 17274, 3495, 2214, 16, 10, 8787, 2125, 14, 22750, 1626, 11098, 8, 10563, 4, 85, 1575, 10, 11577, 11739, 9, 20535, 6, 22052, 6, 13305, 6, 3152, 6757, 6, 8, 30587, 8669, 6, 2351, 10, 4066, 8, 6878, 2369, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 20902, 1007, 1328, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 2214, 29769, 198, 5, 40286, 9, 230, 8, 274, 6, 8216, 7, 63, 33200, 8, 10132, 2574, 4, 20, 2365, 8, 1619, 223, 34693, 1606, 10, 2216, 12117, 7, 42, 15352, 30054, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56236, 50796, 51528, 76653, 50887, 52389, 76653, 50840, 51450, 53745, 50599, 55761, 50816, 53083, 52531, 51122, 72957, 63148, 55433, 77278, 50799, 51368, 50893, 50929, 51277, 51076, 50974, 51067, 50905, 50953, 51286, 51245, 50857, 74465, 51478, 74540, 53478, 50899, 59828, 50861, 52826, 50973, 55174, 55418, 50374, 52526, 50862, 53455, 50893, 51402, 50886, 52906, 57627, 55946, 51368, 65106, 51126, 51076, 50908, 51067, 50891, 67035, 51245, 50928, 51746, 50870, 51478, 56768, 50374, 54118, 50855, 53455, 53901, 51545, 50865, 50929, 51128, 51076, 51000, 51067, 51126, 51019, 51111, 52613, 51106, 51421, 50867, 53144, 63727, 51190, 53290, 53810, 51350, 50952, 50929, 51481, 51076, 51212, 51067, 51328, 65495, 51245, 50867, 51746, 50834, 51478, 55702, 60381, 50857, 51953, 75339, 50852, 65464, 54077, 51195, 50840, 50953, 54523, 51582, 50374, 54118, 50855, 51914, 57108, 50929, 51126, 51076, 50870, 51067, 52223, 53027, 51195, 50887, 50929, 51851, 51076, 50971, 51067, 50941, 51245, 50886, 51746, 50835, 51478, 56192, 59548, 50813, 51914, 58181, 50953, 55190, 66786, 53688, 51195, 50948, 68827, 65742, 51067, 50905, 51019, 51194, 52613, 51106, 50840, 52029, 53290, 50867, 51914, 70494, 51245, 50870, 51746, 50825, 51478, 51539, 53137, 50927, 61061, 60381, 50376, 54118, 57326, 50852, 58763, 50857, 60938, 51254, 51076, 50978, 51067, 50978, 64483, 51963, 51379, 51776, 51175, 72444, 74465, 51478, 53351, 52304, 50864, 51402, 50829, 52906, 57627, 50379, 54118, 56133, 50929, 51258, 51076, 51306, 51067, 50870, 50953, 50942, 52851, 51177, 51888, 51192, 51245, 50864, 51746, 50864, 51478, 56768, 54317, 50929, 51126, 51076, 50912, 51067, 50971, 51019, 51215, 52855, 51106, 50840, 52470, 50429, 51248, 53290, 53810, 51078, 52063, 50947, 51753, 51067, 51884, 64279, 52719, 50991, 51648, 51235, 51823, 50867, 51323, 50857, 51478, 55476, 60381, 56788, 50852, 50364, 51613, 50864, 53758, 51158, 51378, 51878, 50899, 52598, 50989, 51749, 50876, 80174, 50855, 52029, 54118, 58037, 51078, 51129, 50947, 50863, 51067, 50941, 52029, 52438, 54305, 51078, 51524, 50947, 51142, 51067, 51524, 52664, 50925, 51683, 50808, 51823, 50864, 51323, 50857, 51478, 57396, 57627, 50381, 54118, 56317, 50927, 57396, 54939, 51078, 51051, 76169, 51067, 51058, 50964, 51100, 55912, 50991, 51913, 79890, 52634, 50809, 51248, 53830, 59012, 51823, 50870, 51323, 50835, 51478, 50864, 71223, 51078, 51126, 50947, 50941, 51067, 50941, 51069, 52472, 58763, 77024, 54655, 51078, 50982, 50947, 50837, 51067, 59307, 71402, 50857, 50799, 51990, 50893, 51078, 51277, 77458, 51067, 51328, 50927, 51060, 51823, 50886, 51323, 50857, 51478, 51609, 50298, 56004, 50899, 57598, 50989, 53849, 50876, 52826, 50798, 52207, 50886, 57804, 50893, 51402, 50870, 52906, 57627, 50381, 54118, 55946, 51990, 50854, 51078, 53106, 50947, 51129, 70943, 51823, 50982, 51323, 50825, 51478, 63376, 50904, 57804, 53906, 51265, 50942, 63183, 51067, 50907, 50964, 51121, 52243, 51122, 50840, 52558, 52949, 66121, 51248, 53830, 53810, 51350, 50940, 51078, 51884, 50947, 51481, 51067, 51277, 75740, 51823, 50864, 51323, 50834, 51478, 56768, 60381, 50855, 51953, 69740, 50852, 50371, 51613, 54077, 51195, 50858, 50927, 51428, 51582, 50374, 54118, 50813, 51914, 58746, 51078, 51693, 50947, 51004, 51067, 73678, 53384, 51195, 50887, 51078, 51524, 67292, 51067, 52192, 51823, 50837, 51323, 50857, 51478, 56707, 59548, 50855, 51914, 58181, 50927, 57396, 50360, 53830, 53083, 51195, 51033, 51078, 51079, 50947, 51481, 51067, 51753, 50964, 51121, 52855, 51106, 50840, 52029, 53830, 50857, 51914, 51033, 50453, 51823, 50982, 51323, 50835, 51478, 50886, 78391, 51069, 52472, 58763, 50379, 52438, 54655, 50852, 50361, 51613, 50867, 50799, 51078, 51074, 73126, 51067, 50972, 56735, 53152, 51167, 52578, 51379, 51823, 50864, 51323, 50857, 51478, 53835, 51582, 50886, 51402, 50891, 52906, 57627, 50379, 54118, 53910, 51078, 51004, 50947, 50863, 51067, 51884, 75644, 52851, 50873, 51888, 50893, 51823, 50971, 51323, 50829, 51478, 57516, 54689, 51078, 51524, 67292, 50964, 51111, 52613, 51106, 52675, 50886, 51532, 50366, 53830, 52810, 69695, 51076, 51074, 51067, 50972, 75740, 52719, 51095, 51648, 51175, 51245, 50886, 51746, 50886, 51478, 57516, 60381, 54665, 50852, 50362, 51613, 53891, 50953, 51158, 51026, 51627, 50899, 51878, 50861, 51627, 50973, 52407, 50798, 50887, 51287, 54118, 58037, 50929, 50908, 51076, 50891, 51067, 50971, 53510, 52438, 53114, 68236, 77576, 51067, 50851, 56844, 50854, 52310, 50887, 51245, 50886, 51746, 50867, 51478, 56768, 57627, 50379, 54118, 57298, 50953, 55742, 53934, 54915, 50929, 51142, 51076, 51051, 51292, 51058, 51019, 51111, 55282, 51235, 51963, 50991, 52613, 51122, 51421, 50374, 53830, 59012, 51245, 50867, 51746, 50829, 51478, 51559, 54038, 50929, 51126, 51076, 51297, 51067, 50904, 50927, 58162, 53333, 58763, 50379, 52438, 57400, 50852, 71402, 50857, 50799, 51368, 50948, 69695, 69239, 51067, 50905, 50953, 51158, 72444, 51746, 50862, 51478, 74540, 52644, 50899, 52826, 50861, 53413, 50973, 53478, 55418, 50374, 52526, 50855, 53455, 50948, 51402, 50891, 52906, 63839, 50378, 54118, 53910, 51368, 58335, 51129, 51076, 50982, 51067, 50870, 67035, 51245, 50886, 51746, 50835, 51478, 55476, 50886, 53455, 52710, 51545, 50859, 50929, 51000, 51076, 50941, 51067, 50971, 51019, 51100, 52613, 51106, 52207, 50886, 53144, 58129, 51248, 53290, 52810, 51350, 51033, 50929, 51884, 51076, 51242, 51067, 51328, 66482, 51245, 50867, 51746, 50835, 51478, 55702, 65464, 50839, 51953, 73073, 50852, 50361, 51613, 53891, 51195, 50890, 50953, 51158, 62709, 50371, 54118, 50857, 51914, 58040, 50929, 52192, 51076, 51004, 51067, 52223, 53594, 51195, 50890, 51076, 50971, 51067, 50971, 51245, 50867, 51746, 50857, 51478, 55476, 57627, 50862, 51914, 57782, 50953, 55190, 66623, 53068, 51195, 51030, 69695, 65742, 51067, 50974, 51019, 51111, 52613, 51106, 50890, 51287, 53830, 50864, 51914, 51030, 50453, 51245, 50829, 51746, 50834, 51478, 50862, 52008, 50456, 50927, 57383, 58763, 50379, 52438, 57326, 50852, 70672, 50857, 60938, 51376, 51076, 50978, 51067, 50978, 50953, 51158, 51963, 51379, 51776, 51175, 51245, 50857, 51746, 50862, 51478, 52411, 52304, 50886, 51402, 50825, 52906, 57627, 73511, 56076, 50929, 51004, 51076, 50928, 51067, 50891, 50953, 50942, 52851, 50873, 51888, 50806, 51245, 50864, 51746, 50867, 51478, 56768, 54689, 68236, 51076, 51051, 77211, 51019, 51110, 52855, 51106, 51421, 59399, 51248, 53290, 54216, 51078, 51884, 50947, 51277, 51067, 51884, 63542, 52719, 50991, 51648, 51235, 51823, 50867, 51323, 50857, 51478, 55475, 58763, 54665, 50852, 65464, 50857, 53758, 51060, 51378, 52263, 50899, 51627, 50989, 51627, 50876, 80174, 50855, 51927, 54118, 58545, 51078, 50908, 50947, 50837, 51067, 50971, 51248, 52438, 53162, 51078, 50984, 67292, 51067, 51051, 52664, 50942, 51683, 50925, 51823, 50867, 51323, 50834, 51478, 55476, 57627, 50378, 54118, 56197, 50927, 57396, 54939, 51078, 51884, 50947, 51328, 51067, 51797, 50964, 51111, 55912, 51345, 51913, 67774, 52634, 51421, 50374, 53830, 58045, 51823, 50904, 51323, 50835, 51478, 50867, 69714, 51069, 55163, 54741, 50379, 52438, 57400, 50852, 70672, 50857, 50799, 51990, 50893, 51078, 51079, 50947, 50974, 51067, 50838, 50927, 51060, 51823, 50904, 51323, 50857 ]
[ 0, 250, 15855, 19834, 14, 7630, 6568, 10, 25306, 5466, 6, 29354, 2933, 8, 9066, 4785, 19, 3423, 9, 26545, 4, 20, 769, 196, 6757, 8, 38668, 22052, 483, 5, 33301, 6, 7513, 30, 5, 21040, 2426, 8, 2342, 4467, 6, 150, 5, 31391, 1672, 9590, 1639, 10, 2705, 4811, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 23667, 20889, 6, 42, 765, 15229, 1575, 10, 33215, 16739, 9, 3676, 6, 163, 119, 406, 6, 230, 406, 73, 717, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 67004, 50417, 66509, 50918, 73603, 50918, 67823, 50918, 50449, 68048, 50918, 66346, 50918, 68919, 56811, 50665, 50308, 50865, 60212, 66929, 50807, 50437, 66509, 51161, 67823, 51358, 73603, 51161, 59412, 50665, 50309, 50983, 66346, 50918, 50665, 50307, 50983, 67823, 50983, 50449, 66509, 50807, 50460, 67823, 51048, 50461, 50665, 50304, 50807, 50665, 50308, 50807, 60212, 68048, 62369, 67823, 51091, 50448, 50665, 50306, 51291, 50665, 50309, 51291, 68048, 51291, 50450, 66509, 50918, 60212, 72842, 50807, 50436, 67823, 51161, 50665, 50308, 50807, 50665, 50304, 50807, 55746, 50665, 50296, 51060, 50437, 50665, 50296, 58647, 50665, 50296, 51112, 50460, 67823, 51358, 50461, 50665, 50304, 50967, 50665, 50308, 51060, 50796, 50448, 50665, 50303, 50795, 50665, 50306, 50795, 67823, 51358, 50796, 50435, 50665, 50301, 50865, 50436, 50665, 50304, 50865, 50665, 50309, 50865, 67823, 51358, 57731, 50665, 50303, 50983, 50665, 50308, 50983, 50424, 66509, 50983, 50449, 78525, 51060, 50461, 50665, 50308, 50991, 50665, 50301, 51112, 50665, 50306, 51112, 67823, 50991, 50796, 50451, 50665, 50306, 50800, 50799, 50665, 50305, 58821, 50665, 50303, 68231, 50665, 50305, 50830, 50796, 50461, 51844, 51352, 50702, 50289, 51352, 54628, 51161, 55074, 51161, 55687, 51161, 58165, 51161, 51601, 54182, 51352, 50671, 50295, 54107, 50671, 50291, 51021, 50437, 50671, 50291, 54526, 53032, 51009, 51727, 51352, 73538, 51352, 50671, 50295, 50824, 62545, 51161, 55978, 51161, 50451, 61091, 50918, 54717, 51161, 50799, 50671, 50291, 50925, 50425, 50671, 50291, 62945, 54489, 51066, 60108, 50807, 50437, 50671, 50295, 63418, 54182, 51407, 51844, 51352, 50702, 50289, 51352, 55687, 51161, 55074, 51036, 54628, 52045, 50439, 58165, 77481, 50671, 50291, 51014, 50799, 50671, 50291, 51014, 50424, 54890, 50824, 50425, 58154, 51352, 50702, 50285, 51352, 50671, 50295, 54107, 60252, 51048, 50427, 63017, 51161, 50437, 56026, 50824, 50671, 50291, 54362, 56007, 50807, 50449, 54890, 51072, 50671, 50291, 50803, 55074, 50807, 50461, 54182, 51072, 50671, 50295, 50824, 56682, 51352, 59113, 51352, 54628, 51358, 55687, 51358, 55074, 51358, 58165, 51161, 50425, 58373, 54107, 50671, 50291, 59266, 54182, 51072, 50671, 50291, 57795, 50686, 50272, 51352, 50702, 50284, 51352, 61091, 50918, 55114, 50918, 55687, 51358, 50450, 53032, 51300, 50671, 50295, 50824, 56266, 51358, 56007, 51358, 51601, 50671, 50291, 50962, 50424, 60108, 62521, 54489, 50993, 50671, 50291, 57784, 51844, 51407, 50702, 50289, 73018, 54182, 51352, 58373, 50823, 55687, 50967, 50671, 50295, 50824, 58165, 51161, 55074, 51161, 54628, 51161, 50441, 55687, 51358, 50451, 50671, 50291, 50811, 50799, 50671, 50291, 50962, 50424, 50686, 50272, 50802, 50702, 50284, 52038, 50671, 50295, 50993, 50436, 56258, 50802, 50702, 50286, 62472, 50671, 50291, 58579, 54457, 50860, 50702, 50288, 54554, 50671, 50291, 50803, 50799, 54182, 51009, 55687, 67481, 51844, 51352, 50702, 50289, 51352, 50671, 50295, 51066, 54628, 50918, 55074, 50918, 58165, 51161, 50427, 50671, 50291, 52599, 55493, 51072, 50671, 50291, 54721, 53032, 51300, 50686, 50272, 51352, 50702, 50284, 51352, 50671, 50295, 51066, 55114, 51161, 56266, 51161, 56007, 51161, 55687, 51161, 61091, 51161, 51601, 50671, 50291, 62046, 52758, 62819, 50671, 50291, 50803, 57552, 51352, 50702, 50289, 51352, 50671, 50295, 62568, 54544, 50993, 50671, 50291, 51033, 54628, 50865, 55074, 50865, 55687, 71250, 58165, 75331, 54544, 50993, 58165, 50795, 54628, 50795, 55687, 50795, 55074, 51060, 50799, 50671, 50291, 59174, 58154, 51352, 50702, 50285, 51352, 54717, 50967, 56732, 50967, 55074, 50991, 60108, 50991, 50425, 54544, 62819, 50671, 50295, 51066, 50436, 54717, 51060, 56732, 51060, 55074, 50967, 60108, 50967, 50437, 54544, 51066, 50439, 50671, 50291, 57891, 54717, 51060, 60108, 51060, 56732, 50967, 55074, 58647, 54544, 50993, 50671, 50291, 58055, 51844, 51352, 50702, 50289, 51352, 50461, 54544, 51066, 54628, 50967, 55687, 50967, 55074, 50991, 50799, 58165, 50795, 50671, 50295, 51066, 50425, 54544, 51066, 58165, 51060, 54628, 51060, 55687, 51060, 55074, 59204, 50671, 50291, 62657, 50671, 50291, 61109, 55074, 60847, 54544, 50993, 58165, 50795, 54628, 50795, 55687, 69451, 54544, 50824, 55978, 59323, 51727, 51352, 73538, 51352, 54717, 50967, 60108, 50967, 62545, 50991, 50451, 50671, 50295, 51235, 50461, 55978, 50967, 60108, 50991, 50799, 52758, 50824, 50671, 50291, 50948, 54717, 51060, 62545, 59204, 53032, 51066, 50671, 50291, 50948, 50427, 62545, 50795, 54717, 51060, 55978, 51060, 60108, 50967, 50436, 51844, 51029, 50702, 50289, 51029, 50437, 50671, 50295, 76713, 54182, 51352, 60252, 50809, 54628, 51605, 55074, 51605, 55687, 51605, 50439, 57010, 51291, 58165, 51605, 50450, 50671, 50291, 50948, 50461, 50671, 50291, 50940, 59412, 50671, 50295, 51290, 50430, 50686, 50272, 50824, 50702, 50284, 50824, 50437, 50671, 50291, 50940, 50440, 56258, 51059, 50702, 50286, 51059, 50451, 50671, 50291, 50940, 50454, 54457, 50824, 50702, 50288, 50824, 50799, 54182, 51352, 50415, 50671, 50295, 51362, 50418, 51844, 51352, 50702, 50289, 51352, 50419, 54628, 51358, 55687, 51358, 55074, 51358, 58165, 51161, 50429, 50671, 50291, 50940, 50440, 50671, 50291, 50940, 50449, 53032, 51009, 50451, 50671, 50295, 51016, 50453, 61091, 50918, 54717, 51161, 62545, 51161, 55978, 51161, 50454, 51727, 51407, 73538, 51407, 51601, 50671, 50291, 50940, 50425, 54489, 71030, 50671, 50291, 50858, 60108, 50807, 50437, 54182, 51352, 51844, 51352, 50702, 50289, 51352, 50438, 50671, 50295, 51290, 50439, 54628, 51358, 58165, 51161, 50440, 55687, 51161, 55074, 51605, 50450, 50671, 50291, 50948, 50799, 50671, 50291, 50940, 50424, 54890, 50993, 60252, 50807, 55172, 51358, 50425, 58154, 51352, 50702, 50285, 51352, 50671, 50295, 51290, 54628, 51291, 50437, 56026, 50802, 50671, 50291, 54362, 56007, 50807, 50448, 54890, 50860, 50671, 50291, 50858, 55074, 51036, 50460, 54182, 50802, 50671, 50295, 51016, 50461, 54628, 51161, 55687, 51161, 58165, 51161, 56682, 51795, 50702, 50289, 51795, 50424, 58373, 50976, 50425, 50671, 50291, 66554, 54182, 79290, 50671, 50291, 75637, 50686, 50272, 51352, 50702, 50284, 51352, 50449, 53032, 51029, 50671, 50295, 51016, 61091, 50918, 55114, 77481, 56266, 51161, 56007, 51161, 55687, 51161, 50461, 50671, 50291, 50940, 60212, 50671, 50291, 50940, 60108, 50807, 50425, 54489, 50975, 50436, 51844, 51407, 50702, 50289, 51407, 50671, 50295, 51016, 50437, 54182, 73018, 58165, 51161, 54628, 51161, 55074, 51161, 55687, 51161, 50440, 55687, 51161, 50449, 50671, 50291, 65706, 50671, 50291, 50858, 60212, 50671, 50295, 51227, 50436, 50671, 50291, 75637, 50671, 50291, 56860, 58165, 50818, 50671, 50295, 51290, 50460, 54628, 51358, 55074, 51358, 55687, 51358, 50461, 51844, 51352, 50702, 50289, 51352, 58165, 51161, 50799, 54182, 51300, 50424, 50671, 50291, 50940, 50437, 50671, 50291, 59826, 55493, 51066, 50448, 50686, 50272, 51352, 50702, 50284, 51352, 50671, 50295, 77225, 53032, 51300, 56266, 51161, 61091, 51161, 56007, 51161, 55687, 51161, 55114, 51161, 50460, 50671, 50291, 50858, 59412, 50671, 50291, 58216, 52758, 51066, 50436, 51844, 51352, 50702, 50289, 51352, 50437, 50671, 50295, 51227, 50448, 50671, 50291, 50940, 50449, 54544, 50993, 58165, 58647, 54628, 51060, 55074 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 25771, 4785, 6, 4246, 10, 13305, 14, 1974, 11, 10, 38451, 3938, 20889, 8, 132, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 10431, 538, 8, 7630, 6568, 10, 1186, 9, 6711, 29, 6, 31, 20425, 8, 2933, 7, 19448, 8, 25306, 4, 20, 33215, 16739, 9, 272, 119, 406, 428, 245, 73, 597, 6, 230, 406, 6, 274, 119, 6, 272, 406, 6, 8, 2060, 3639, 5581, 7, 42, 13363, 28191, 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 ]
[ 74734, 50432, 51503, 50897, 51176, 50897, 51057, 51360, 50897, 51040, 73362, 51339, 54402, 51399, 51581, 50300, 50897, 51040, 50897, 50871, 67761, 51081, 53425, 50951, 51581, 50288, 50897, 51176, 77554, 51147, 53695, 51028, 51581, 50300, 50897, 51040, 50897, 50871, 68066, 51001, 50836, 51057, 50968, 51581, 50290, 50897, 50997, 50897, 50861, 66147, 50876, 54402, 51028, 75588, 50897, 51027, 67761, 66634, 79188, 50989, 53466, 51503, 50897, 51176, 77554, 51147, 53695, 52128, 51581, 50300, 50897, 50900, 50897, 50989, 68066, 51787, 50836, 51057, 51360, 50897, 51040, 73362, 51339, 54402, 51399, 51581, 50300, 50897, 51040, 50897, 50871, 67761, 51081, 53425, 50951, 51581, 50288, 50897, 51176, 77554, 51147, 53695, 51028, 51581, 50300, 50897, 51040, 50897, 50871, 68066, 51001, 50836, 51057, 50968, 51581, 50290, 50897, 50997, 50897, 50861, 66147, 50876, 54402, 51028, 75588, 50897, 51027, 67761, 50989, 58681, 68035, 53466, 51503, 50897, 51176, 57066, 51197, 77235, 55310, 51050, 63307, 50836, 78461, 50897, 50997, 60724, 66734, 66634, 79188, 51114, 55640, 72733, 66634, 79188, 50931, 57066, 51197, 77235, 55310, 51050, 63307, 50836, 78461, 50897, 50997, 60724, 50989, 50897, 66634, 79188, 78466, 53645, 50897, 66634, 79188, 77757, 51057, 53492, 51581, 50290, 58160, 52206, 51581, 50292, 54402, 52759, 51581, 50293, 55155, 51247, 51581, 50297, 53425, 51234, 76361, 56865, 51085, 66407, 53695, 51360, 51581, 50305, 55310, 51050, 63307, 50836, 69024, 67085, 58160, 50900, 60407, 54402, 51040, 65038, 55155, 50871, 63762, 53425, 50906, 75931, 56865, 50876, 70554, 53695, 51028, 51581, 50329, 55310, 50931, 51581, 50333, 50836, 51057, 63121, 66734, 51028, 50897, 50968, 50897, 78466, 52052, 60724, 51062, 51581, 50340, 59244, 50897, 66734, 51028, 50897, 50968, 67761, 78466, 52052, 50897, 54439, 50897, 66734, 51028, 50897, 50968, 77554, 51062, 51581, 50340, 53695, 51081, 51581, 50338, 59244, 50897, 66734, 51028, 50897, 50968, 68066, 78466, 52052, 50897, 51057, 75729, 51028, 50897, 66285, 50417, 52128, 54402, 51339, 70017, 50897, 51028, 50897, 66285, 50423, 51405, 53425, 51399, 66365, 50897, 51028, 50897, 66285, 50429, 52128, 57066, 71777, 51028, 50897, 66285, 50435, 51787, 50897, 51057, 66734, 51028, 50897, 51114, 73362, 51405, 54402, 53919, 59459, 50897, 51028, 50897, 51114, 67761, 53684, 53425, 51399, 70017, 50897, 51028, 50897, 66285, 50429, 51339, 57066, 75729, 51028, 50897, 66285, 50435, 52052, 50836, 51057, 52128, 70017, 50897, 66634, 51114, 73362, 51405, 54402, 51430, 70017, 50897, 66634, 51114, 67761, 51339, 55640, 75729, 51028, 50897, 66285, 76133, 53695, 51147, 70017, 50897, 51028, 50897, 66285, 50435, 50906, 51110, 51081, 51110, 65679, 50897, 50997, 50897, 51040, 50897, 70489, 58060, 70554, 74540, 50897, 50997, 50897, 51040, 50897, 50916, 67761, 66734, 51081, 55640, 51026, 50897, 50997, 50897, 51040, 50897, 70489, 50429, 50876, 70554, 53695, 50906, 75931, 74540, 50897, 50997, 50897, 51040, 50897, 50916, 68066, 66734, 78466, 74519, 50897, 51040, 50897, 70252, 50417, 51147, 54402, 50931, 51581, 50300, 50897, 51040, 50897, 50871, 67761, 51001, 53425, 51028, 51581, 50303, 50897, 51040, 50897, 70252, 50429, 51147, 57066, 51086, 50897, 51040, 50897, 50871, 68066, 51114, 50897, 69024, 50897, 51040, 50897, 50989, 50897, 72239, 54402, 51405, 51581, 50301, 50897, 51040, 50897, 50989, 67761, 51399, 53425, 50931, 51581, 50300, 50897, 51040, 50897, 70252, 50429, 51028, 50897, 51081, 57066, 51176, 50897, 51040, 50897, 50871, 68066, 51147, 50836, 51057, 51028, 51581, 50290, 50897, 50997, 50897, 63121, 72239, 54402, 51503, 50897, 51176, 50897, 50989, 50897, 66634, 51001, 55640, 51360, 50897, 51040, 50897, 70252, 51028, 57066, 51503, 50897, 51176, 50897, 51057, 51360, 50897, 51040, 73362, 51339, 54402, 51399, 51581, 50300, 50897, 51040, 50897, 50871, 67761, 51081, 53425, 50951, 51581, 50288, 50897, 51176, 77554, 51147, 53695, 51028, 51581, 50300, 50897, 51040, 50897, 50871, 68066, 51001, 50836, 51057, 50968, 51581, 50290, 50897, 50997, 50897, 50861, 66147, 50876, 54402, 51028, 75588, 50897, 51027, 67761, 66634, 79188, 50989, 53466, 51503, 50897, 51176, 77554, 51147, 53695, 52128, 51581, 50300, 50897, 50900, 50897, 50989, 68066, 51787, 50836, 51057, 51360, 50897, 51040, 73362, 51339, 54402, 51399, 51581, 50300, 50897, 51040, 50897, 50871, 67761, 51081, 53425, 50951, 51581, 50288, 50897, 51176, 77554, 51147, 53695, 51028, 51581, 50300, 50897, 51040, 50897, 50871, 68066, 51001, 50836, 51057, 50968, 51581, 50290, 50897, 50997, 50897, 50861, 66147, 50876, 54402, 51028, 75588, 50897, 51027, 67761, 50989, 58681, 68035, 53466, 51503, 50897, 51176, 57066, 51197, 77235, 55310, 51050, 63307, 50836, 78461, 50897, 50997, 60724, 66734, 66634, 79188, 51114, 55640, 72733, 66634, 79188, 50931, 57066, 51197, 77235, 55310, 51050, 63307, 50836, 78461, 50897, 50997, 60724, 50989, 50897, 66634, 79188, 78466, 53645, 50897, 66634, 79188, 77757, 51057, 53492, 51581, 50290, 58160, 52206, 51581, 50292, 54402, 52759, 51581, 50293, 55155, 51247, 51581, 50297, 53425, 51234, 76361, 56865, 51085, 66407, 53695, 51360, 51581, 50305, 55310, 51050, 63307, 50836, 69024, 67085, 58160, 50900, 60407, 54402, 51040, 65038, 55155, 50871, 63762, 53425, 50906, 75931, 56865, 50876, 70554, 53695, 51028, 51581, 50329, 55310, 50931, 51581, 50333, 50836, 51057, 63121, 66734, 51028, 50897, 50968, 50897, 78466, 52052, 60724, 51062, 51581, 50340, 59244, 50897, 66734, 51028, 50897, 50968, 67761, 78466, 52052, 50897, 54439, 50897, 66734, 51028, 50897, 50968, 77554, 51062, 51581, 50340, 53695, 51081, 51581, 50338, 59244, 50897, 66734, 51028, 50897, 50968, 68066, 78466, 52052, 50897, 51057, 75729, 51028, 50897, 66285, 50417, 52128, 54402, 51339, 70017, 50897, 51028, 50897, 66285, 50423, 51405, 53425, 51399, 66365, 50897, 51028, 50897, 66285, 50429, 52128, 57066, 71777, 51028, 50897, 66285, 50435, 51787, 50897, 51057, 66734, 51028, 50897, 51114, 73362, 51405, 54402, 53919, 59459, 50897, 51028, 50897, 51114, 67761, 53684, 53425, 51399, 70017, 50897, 51028, 50897, 66285, 50429, 51339, 57066, 75729, 51028, 50897, 66285, 50435, 52052, 50836, 51057, 52128, 70017, 50897, 66634, 51114, 73362, 51405, 54402, 51430, 70017, 50897, 66634, 51114, 67761, 51339, 55640, 75729, 51028, 50897, 66285, 76133, 53695, 51147, 70017, 50897, 51028, 50897, 66285, 50435, 50906, 51110, 51081, 51110, 65679, 50897, 50997, 50897, 51040, 50897, 70489, 58060, 70554, 74540, 50897, 50997, 50897, 51040, 50897, 50916, 67761, 66734, 51081, 55640, 51026, 50897, 50997, 50897, 51040, 50897, 70489, 50429, 50876, 70554, 53695, 50906, 75931, 74540, 50897, 50997, 50897, 51040, 50897, 50916, 68066, 66734, 78466, 74519, 50897, 51040, 50897, 70252, 50417, 51147, 54402, 50931, 51581, 50300, 50897, 51040, 50897, 50871, 67761, 51001, 53425, 51028, 51581, 50303, 50897, 51040, 50897, 70252, 50429, 51147, 57066, 51086, 50897, 51040, 50897, 50871, 68066, 51114, 50897, 69024, 50897, 51040, 50897, 50989, 50897, 72239, 54402, 51405, 51581, 50301, 50897, 51040, 50897, 50989, 67761, 51399, 53425, 50931, 51581, 50300, 50897, 51040, 50897, 70252, 50429, 51028, 50897, 51081, 57066, 51176, 50897, 51040, 50897, 50871, 68066, 51147, 50836, 51057, 51028, 51581, 50290, 50897, 50997, 50897, 63121 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 25771, 2214, 4246, 10, 13305, 816, 5, 1049, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 2342, 4467, 6, 21072, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 83, 538, 19, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 46336, 3184, 4212, 29769, 198, 5, 40286, 83, 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 ]
[ 56103, 50415, 50625, 50422, 50625, 50430, 50625, 50436, 50626, 50443, 50626, 50450, 50626, 50456, 50626, 56090, 50802, 53215, 50802, 71862, 51184, 52806, 50802, 51614, 50802, 52371, 51184, 51883, 50802, 51507, 52208, 50415, 50626, 50420, 51614, 50802, 51440, 67028, 69379, 60449, 50626, 50426, 51944, 50802, 51440, 50802, 51669, 69379, 71569, 63022, 50626, 50432, 51660, 50824, 51440, 50824, 52361, 50824, 51113, 50824, 51488, 50824, 50436, 50627, 50443, 50627, 50444, 51944, 50824, 51440, 51029, 51669, 51029, 51491, 50824, 51113, 51029, 51107, 51029, 50449, 50627, 50456, 50627, 51944, 50802, 51491, 50802, 78940, 51184, 51614, 51184, 51434, 50824, 51440, 50802, 51699, 51184, 51251, 51184, 51088, 50824, 51113, 50802, 51598, 52208, 50415, 50627, 50420, 51808, 50802, 51808, 51029, 51357, 50802, 51357, 51029, 50421, 50627, 50426, 51434, 51009, 51088, 51009, 50428, 50627, 50432, 51440, 69379, 78422, 50628, 50438, 51808, 50802, 51357, 71138, 50628, 50444, 51440, 69379, 64070, 50628, 50450, 51434, 50824, 51088, 54098, 50628, 56090, 50802, 51440, 50802, 53215, 69379, 50802, 56103, 53722, 51184, 52806, 50802, 51614, 50802, 52371, 51184, 51883, 67028, 50802, 51507, 52208, 50420, 51614, 50802, 51440, 67028, 69379, 52038, 51944, 50802, 51440, 50802, 51669, 50802, 51491, 69379, 71569, 52030, 51660, 50824, 51440, 50824, 52361, 50824, 51301, 50824, 51113, 50824, 51488, 53681, 51944, 50824, 51440, 51029, 51669, 51029, 51491, 50824, 51113, 51029, 51107, 68174, 51944, 50802, 51491, 50802, 78940, 51184, 51614, 51184, 51434, 50824, 51440, 50802, 51699, 51184, 51251, 51184, 51088, 50824, 51113, 50802, 51598, 52208, 50420, 51808, 50802, 51808, 51029, 51357, 50802, 51357, 63398, 51434, 51009, 51088, 61222, 51440, 69379, 52125, 51808, 50802, 51357, 52313, 51440, 69379, 52175, 51434, 50824, 51088, 54098, 56090, 50802, 51440, 50802, 53215, 69379, 50802, 71862, 51184, 52806, 50802, 51614, 50802, 52371, 51184, 51883, 67028, 50802, 51507, 52208, 50420, 51614, 50802, 51440, 67028, 69379, 52038, 51944, 50802, 51440, 50802, 51669, 50802, 51491, 69379, 71569, 52030, 51660, 50824, 51440, 50824, 52361, 50824, 51301, 50824, 51113, 50824, 51488, 53681, 51944, 50824, 51440, 51029, 51669, 51029, 51491, 50824, 51113, 51029, 51107, 68174, 51944, 50802, 51491, 50802, 78940, 51184, 51614, 51184, 51434, 50824, 51440, 50802, 51699, 51184, 51251, 51184, 51088, 50824, 51113, 50802, 51598, 52208, 50420, 51808, 50802, 51808, 51029, 51357, 50802, 51357, 63398, 51434, 51009, 51088, 61222, 51440, 69379, 52125, 51808, 50802, 51357, 52313, 51440, 69379, 52175, 51434, 50824, 51088, 54098, 56090, 50802, 51440, 50802, 53215, 69379, 50802, 71862, 51184, 52806, 50802, 51614, 50802, 52371, 51184, 51883, 67028, 52410, 51614, 50802, 51440, 67028, 69379, 52038, 51944, 50802, 51440, 50802, 51669, 50802, 51491, 69379, 71569, 52030, 51660, 50824, 51440, 50824, 52361, 50824, 51301, 50824, 51113, 50824, 51488, 53681, 51944, 50824, 51440, 51029, 51669, 51029, 51491, 50824, 51113, 51029, 51107, 68174, 51944, 50802, 51491, 50802, 78940, 51184, 51614, 51184, 51434, 50824, 51440, 50802, 51699, 51184, 51251, 51184, 51088, 50824, 51113, 52410, 51808, 50802, 51808, 51029, 51357, 50802, 51357, 63398, 51434, 51009, 51088, 61222, 51440, 69379, 52125, 51808, 50802, 51357, 52313, 51440, 69379, 52175, 51434, 50824, 51088, 54098, 56090, 50802, 51440, 50802, 53215, 69379, 50802, 50799, 56090, 51184, 52806, 51184, 52435, 51184, 51440, 50802, 53215, 51184, 51883, 51184, 51794, 51184, 51113, 52410, 51808, 50802, 51357, 52038, 52361, 50802, 51488, 52030, 51660, 72675, 52125, 51440, 69379, 52313, 51808, 50802, 51357, 52175, 52361, 50802, 51488, 52325, 52043, 50802, 51266, 50802, 50799, 56090, 51184, 52806, 51184, 52435, 51184, 52807, 51184, 53215, 51184, 51883, 51184, 51794, 51184, 51284, 51184, 50432, 51596, 58395, 52671, 57816, 51596, 59727, 52155, 51552, 71862, 51184, 52806, 50802, 51614, 50802, 52371, 51184, 50416, 53148, 51184, 51883, 61912, 56194, 50802, 52806, 52038, 52806, 50802, 51614, 54132, 53566, 52806, 50802, 51614, 50824, 51944, 50824, 51596, 58395, 52671, 57816, 52806, 50802, 51660, 50802, 51596, 61860, 56194, 50802, 51614, 52325, 52806, 50802, 52745, 50824, 52182, 51552, 50799, 55243, 51184, 52830, 51184, 51699, 51184, 50416, 52065, 61912, 52769, 52038, 52769, 50802, 52745, 52030, 52745, 50802, 51660, 50802, 51434, 50824, 51596, 58395, 51660, 50802, 52671, 57816, 52745, 50802, 51660, 50802, 51596, 61860, 52769, 50802, 52745, 52325, 52745, 50802, 52435, 50824, 52155, 53435, 50799, 56194, 51184, 52806, 50802, 53148, 51184, 51794, 69881, 51883, 61912, 52806, 52038, 52806, 50802, 52435, 52030, 52806, 50824, 52435, 50824, 51440, 53681, 52435, 50802, 51944, 52175, 52806, 50802, 52435, 50802, 51596, 57241, 52806, 50802, 51789, 50923, 50799, 56922, 51009, 54632, 51009, 51660, 50802, 52316, 51009, 52083, 51054, 50416, 51794, 51009, 51301, 57214, 52435, 52038, 51660, 50802, 51565, 57067, 51944, 50802, 52083, 61287, 56194, 51029, 52557, 50802, 52435, 50802, 53148, 51009, 51638, 51009, 51794, 57310, 52557, 51029, 52435, 50802, 51596, 56827, 51944, 50802, 51789, 57241, 56194, 50802, 51660, 50802, 51596, 51552, 50799, 58748, 51184, 53722, 51184, 56194, 51184, 51614, 50802, 53148, 51184, 52065, 51184, 51251, 61912, 51944, 52038, 51614, 52030, 51944, 50802, 51596, 58395, 51808, 50802, 51789, 57816, 51944, 50802, 52083, 61860, 51614, 52325, 52745, 50802, 51596, 51552, 50799, 56090, 51184, 53722, 51184, 56194, 50802, 52806, 50802, 53148, 51184, 51883, 51184, 51251, 61912, 52806, 50802, 51614, 52038, 51614, 50802, 51944, 52030, 51944, 50824, 51440, 50824, 51596, 58395, 51789, 57816, 51614, 50802, 51944, 50802, 52083, 61860, 52806, 50802, 51614, 52325, 56194, 50802, 52806, 50802, 51686, 57308, 52156, 53435, 50799, 55243, 51184, 52745, 50802, 51660, 50802, 52830, 51184, 52065, 51184, 51301, 61912, 51660, 50802, 51944, 52038, 52745, 51009, 51434, 52030, 51434, 51029, 51808, 65027, 51660, 50802, 51440, 50802, 51686, 57241, 52435, 50802, 51660, 50824, 51789, 56073, 50799, 52806, 51009, 51614, 50802, 51434, 51009, 51883, 51009, 51251, 51009, 51088, 57214, 51660, 52038, 51614, 52030, 51660, 52125, 56090, 51029, 52806, 51029, 52435, 50802, 51440, 51009, 53215, 51029, 51883, 51029, 51794, 51009, 51113, 57310, 51660, 52175, 52435, 52325, 56090, 50802, 52806, 50802, 53215, 50802, 51883, 50802, 50799, 52806, 51009, 51614, 50802, 51434, 51009, 51883, 51009, 51251, 51009, 51088, 57214, 51660, 52038, 51614, 52030, 51660, 50802, 51596, 58395, 56090, 51029, 52806, 51029, 52435, 50802, 51440, 51009, 53215, 51029, 51883, 51029, 51794, 51009, 51113, 51009, 52671, 57816, 51660, 50802, 51596, 61860, 52435, 52325, 56090, 50802, 52806, 50802, 53215, 50802, 51883, 50802, 52155, 51552, 71862, 51184, 52806, 50802, 51614, 50802, 52371, 51184, 50416, 53148, 51184, 51883, 61912, 56194, 50802, 52806, 52038, 52806, 50802, 51614, 52030, 52806, 50802, 51614, 50824, 51944, 50824, 51596, 58395, 52671, 57816, 52806, 50802, 51660, 50802, 51596, 61860, 56194, 50802, 51614, 52325, 52806, 50802, 52745, 50824, 52182, 51552, 50799, 55243, 51184, 52830, 51184, 51699, 51184, 50416, 52065, 61912, 52769, 52038, 52769, 50802, 52745, 52030, 52745, 50802, 51660, 50802, 51434 ]
[ 0, 250, 765, 53, 20425, 5175, 37903, 11, 272, 10431, 3694, 6, 4246, 10, 15352, 30054, 13931, 9, 230, 10431, 6, 83, 6, 163, 6, 8, 2060, 119, 40286, 6, 70, 25451, 23, 10, 23667, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 59626, 50989, 71587, 51378, 53244, 51028, 64760, 51378, 53402, 51028, 69127, 50989, 53484, 51028, 64603, 61827, 60497, 71587, 51120, 53244, 51114, 64760, 51120, 53402, 51114, 69127, 50968, 53484, 51114, 64603, 63558, 62856, 71587, 51315, 53244, 50968, 64760, 51315, 53402, 50968, 69127, 51315, 53484, 50968, 64603, 51315, 50830, 58540, 71587, 51360, 53244, 51028, 64760, 51360, 53402, 51028, 69127, 50973, 53484, 50877, 64603, 76251, 57126, 71587, 51378, 53244, 51028, 64760, 51378, 53402, 51028, 69127, 50989, 53484, 51028, 64603, 61827, 60497, 71587, 51120, 53244, 51114, 64760, 51120, 53402, 51114, 69127, 50968, 53484, 51114, 64603, 63558, 62856, 71587, 51315, 53244, 50968, 64760, 51315, 53402, 50968, 69127, 51315, 53484, 50968, 64603, 51315, 50830, 58540, 71587, 51360, 53244, 51028, 64760, 51360, 53402, 51028, 69127, 50973, 53484, 50877, 64603, 76251, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3495, 3152, 2214, 22750, 1626, 11098, 8, 657, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 3459, 8669, 6, 21979, 9590, 6, 1076, 560, 31365, 25999, 6, 32909, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 33215, 16739, 9, 211, 401, 6, 83, 401, 6, 381, 401, 6, 8, 83, 401, 6790, 5, 14899, 6711, 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 ]
[ 77629, 52261, 51544, 50841, 51570, 50841, 54079, 50849, 51547, 50967, 51390, 51286, 58995, 55916, 51633, 50806, 51229, 50873, 53689, 52247, 51633, 50925, 53689, 79939, 51633, 50987, 53689, 50987, 50437, 53179, 50830, 53437, 66353, 53179, 50937, 53437, 50937, 53526, 53528, 51229, 63612, 51390, 51541, 51229, 51003, 51547, 61637, 51461, 55560, 64382, 52468, 51134, 51322, 51412, 51664, 51194, 50461, 51633, 51060, 51664, 51753, 51547, 51158, 51322, 51101, 53689, 51060, 54079, 51124, 51390, 51363, 51229, 51242, 58995, 52641, 51633, 51008, 53689, 62743, 51633, 50955, 53689, 59577, 53179, 50795, 53437, 50795, 53526, 53528, 51390, 51241, 51229, 51191, 51547, 73324, 51461, 56951, 64382, 52286, 50870, 52468, 51541, 51664, 51226, 51322, 51221, 54079, 51124, 51322, 50845, 51547, 50967, 51390, 51286, 58995, 55916, 51229, 50873, 50416, 51633, 50833, 53689, 54588, 51633, 50857, 53689, 63829, 51633, 50937, 53689, 50937, 50437, 52468, 55778, 51917, 50908, 51664, 51277, 68005, 50914, 51322, 74792, 51233, 51547, 51500, 51390, 51379, 58995, 56819, 53179, 51051, 53437, 51051, 50446, 53179, 50844, 53437, 67447, 53128, 50873, 51898, 74304, 52468, 53588, 50799, 56056, 50967, 51273, 50915, 51547, 50834, 51664, 51241, 51547, 51286, 51431, 57439, 55916, 51390, 51379, 51334, 51242, 51451, 50870, 57493, 58092, 51451, 58659, 51547, 50828, 51334, 62788, 53109, 51390, 51252, 51547, 64131, 51493, 50914, 51390, 50978, 51334, 59809, 58245, 53128, 51178, 51898, 51178, 50430, 53008, 50891, 51664, 51043, 51451, 68954, 59277, 51547, 51110, 51390, 51128, 51334, 51022, 50434, 51390, 51006, 51334, 51365, 51553, 52742, 51993, 51060, 51140, 50995, 51664, 50891, 51664, 51241, 52334, 51060, 51553, 56819, 51451, 50820, 51547, 51060, 51334, 75325, 51390, 64100, 51390, 50937, 51553, 59692, 51334, 63251, 51366, 51258, 51451, 51033, 51547, 51033, 51224, 53528, 51334, 50810, 51390, 53567, 51633, 50937, 51705, 50915, 51390, 51033, 51334, 51030, 53689, 50937, 51224, 58351, 51547, 51033, 51451, 62564, 51322, 50367, 52082, 59713, 51664, 50961, 51322, 67076, 51830, 50928, 51664, 50908, 51830, 51566, 52615, 52082, 54026, 51993, 50936, 51451, 51033, 51256, 54088, 52334, 50936, 53458, 50914, 51772, 56630, 51135, 56260, 51830, 51286, 51209, 61887, 51322, 72015, 51830, 50910, 51322, 50933, 51545, 50942, 51262, 50873, 62446, 51633, 51192, 51630, 50812, 51355, 50878, 53689, 68114, 51668, 50915, 51674, 52445, 51912, 54499, 51833, 56670, 51674, 54088, 51830, 50911, 51366, 50911, 50433, 51830, 75348, 51322, 51008, 51468, 50437, 51547, 55379, 51389, 50915, 51322, 51158, 51830, 51286, 52620, 56866, 51355, 50977, 51630, 51033, 51545, 50921, 51262, 75819, 52000, 67394, 51830, 50925, 51322, 50897, 55723, 51984, 50981, 51664, 50834, 51830, 69405, 51467, 56688, 51366, 50911, 50458, 51830, 50942, 51322, 52946, 51468, 66269, 50915, 51830, 51697, 51830, 50911, 51368, 50905, 52620, 56260, 53128, 50937, 51322, 50893, 51545, 51030, 51262, 50911, 51630, 51033, 51355, 50917, 51898, 50937, 50422, 53128, 50937, 51830, 50897, 51322, 51524, 51898, 50937, 55239, 51984, 50914, 51830, 54780, 51833, 56670, 51366, 51030, 50431, 52372, 50936, 52039, 50936, 50433, 51830, 56080, 51322, 50907, 51368, 51189, 67491, 51262, 51090, 51545, 51090, 51630, 51566, 51355, 67272, 51389, 50981, 51830, 51286, 51322, 51101, 52620, 56866, 51993, 50937, 52334, 50937, 50446, 51830, 51030, 51322, 51033, 51209, 51524, 67115, 51633, 50925, 51630, 51030, 51355, 51030, 53689, 50925, 50448, 51545, 50907, 51262, 63233, 51668, 56951, 51467, 56688, 51366, 51030, 51830, 50882, 51209, 69646, 52468, 52946, 51830, 67074, 51633, 50923, 51451, 51134, 53689, 50923, 51468, 54079, 51013, 52468, 51177, 51664, 51101, 52620, 60161, 52468, 50942, 51664, 50910, 51425, 50835, 51482, 50879, 62446, 51350, 51030, 51223, 51030, 51355, 52179, 50426, 51705, 50915, 52468, 64210, 51833, 56670, 51912, 50893, 51366, 58039, 52286, 50837, 52468, 51157, 51664, 50854, 57974, 51216, 50914, 52000, 50863, 51664, 51286, 51451, 51566, 51482, 50866, 52620, 56866, 51547, 54344, 51350, 52192, 51223, 50911, 51355, 50974, 51350, 51030, 50446, 52468, 51109, 51664, 50955, 55723, 51668, 51097, 51322, 55536, 51467, 56688, 51912, 50911, 51772, 58958, 52468, 51056, 51664, 50925, 51468, 56950, 51191, 51664, 51379, 51772, 50961, 51451, 51566, 51547, 52025, 52620, 56260, 51482, 51337, 51223, 50911, 51350, 50911, 50416, 51355, 51174, 50421, 54223, 59136, 51664, 50955, 52468, 51380, 55239, 51668, 50981, 51772, 50828, 51912, 54780, 51833, 52667, 51664, 51174, 50433, 51482, 50983, 51195, 51496, 50434, 52468, 51159, 51223, 51496, 51350, 51090, 67491, 51355, 51411, 62145, 50981, 51830, 55130, 51135, 56866, 51664, 51286, 51547, 50995, 51451, 51286, 50445, 53737, 59279, 51451, 50933, 51664, 50878, 52468, 51008, 51355, 51030, 67115, 51350, 51030, 51350, 63233, 51705, 50915, 52468, 56444, 51467, 56688, 53128, 50865, 51912, 50882, 51898, 68063, 51664, 72870, 51322, 50910, 69749, 53128, 50857, 51898, 50857, 54389, 50915, 51912, 50870, 51664, 51192, 52620, 56260, 53128, 50955, 51366, 50879, 51898, 50955, 50421, 51664, 50936, 50422, 53128, 77187, 50910, 52395, 51030, 51898, 50822, 62446, 51780, 51033, 51250, 51030, 51729, 52450, 53128, 50925, 51868, 50915, 51209, 50863, 51898, 56873, 51833, 56670, 51408, 51258, 51664, 51286, 51547, 50911, 50434, 53128, 50925, 51322, 50870, 51664, 51033, 51366, 50878, 51898, 50925, 57974, 51984, 50914, 51366, 51158, 51729, 50924, 52620, 56866, 51664, 51158, 51229, 54071, 51250, 50911, 52395, 51033, 51780, 51033, 50446, 51667, 50822, 51209, 50928, 51664, 50940, 51366, 50959, 57350, 50822, 55723, 53262, 64051, 51467, 56688, 52135, 50830, 51664, 50911, 51547, 51030, 57929, 66656, 51664, 50917, 51366, 61997, 52135, 50959, 57929, 50959, 51468, 50799, 53240, 50915, 51664, 51286, 51366, 51286, 51229, 54071, 51195, 53852, 51135, 56260, 51633, 50987, 51250, 50911, 51729, 51470, 51780, 50938, 52395, 51030, 53689, 50987, 50421, 51664, 73489, 51633, 50857, 51366, 50878, 53689, 50857, 55239, 53262, 50915, 51664, 51286, 51547, 54780, 51833, 56670, 52113, 50936, 53808, 50936, 50433, 51917, 67109, 51664, 51033, 51366, 50925, 51195, 50961, 51265, 58898, 67491, 51729, 50896, 51250, 51090, 52395, 51566, 51780, 53585, 53179, 50865, 51984, 50915, 51664, 51060, 53437, 50865, 52620, 56866, 51366, 51158, 50446, 51664, 50921, 51366, 51008, 67115, 52395, 51030, 51780, 51030, 51250, 51030, 50448, 51729, 58238, 51633, 50795, 51868, 51203, 51229, 50825, 51664, 51033, 53689, 51626, 51467, 56688, 51547, 51033, 50457, 53737, 70529, 51468, 65755, 65577, 50914, 51664, 51121, 53689, 51428, 51135, 56260, 52468, 51121, 51451, 55778, 50422, 52468, 51008, 51664, 51008, 51482, 51277, 62446, 51350, 51033, 51223, 51033, 51355, 54278, 51705, 50914, 52468, 63066, 51833, 56670, 51366, 50863, 51772, 50961, 51912, 66454, 52468, 50889, 51664, 50942, 57974, 51216, 50914, 51664, 51286, 52620, 56866, 51547, 55574, 51451, 51227, 51482, 51423, 51350, 50940, 51350, 71526, 51030, 50441, 51355, 70270, 52812, 50870, 52468, 51003, 51664, 51008, 55723, 51668, 50981, 51912, 69405, 51467, 58323, 51664, 50878, 52468, 51048, 51468, 56950, 50981, 51664, 51286, 51451, 51566, 51195, 50955, 52620, 56260, 51547, 52025, 51482, 51121, 51223, 51030 ]
[ 0, 250, 15352, 30054, 5175, 14123, 3495, 2214, 4246, 10, 20902, 12547, 9, 11006, 4122, 12, 1054, 330, 13305, 6, 17465, 102, 6, 326, 5638, 18026, 6, 17605, 9590, 6, 8, 32909, 6, 278, 11, 10, 33928, 155, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 6, 25451, 11, 5, 762, 9, 211, 538, 19, 10, 33215, 13931, 9, 163, 119, 406, 6, 272, 6, 83, 6, 163, 119, 406, 6, 8, 272, 6, 7630, 14805, 10, 32076, 8, 20425, 5466, 20455, 9, 822, 930, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 73566, 50438, 50630, 52913, 54212, 56442, 52913, 54212, 54305, 52913, 54499, 53401, 52913, 52572, 50836, 50799, 53121, 50824, 53212, 51367, 52282, 50426, 51963, 50873, 51648, 50845, 52099, 50795, 52366, 63363, 51963, 50813, 51648, 50813, 52099, 50862, 52366, 53574, 52970, 51110, 51906, 51178, 51683, 51110, 51776, 67876, 52664, 50873, 51963, 50901, 52489, 50805, 52099, 66458, 52664, 50855, 51963, 50855, 52489, 50836, 52099, 50840, 50799, 52970, 50828, 56636, 50855, 52103, 50813, 51683, 52628, 54295, 50828, 52103, 50820, 51963, 50828, 51648, 53150, 51963, 51538, 52489, 51538, 52099, 51933, 52664, 51538, 50444, 54277, 50811, 52032, 52568, 52695, 50911, 53343, 50976, 52913, 53338, 56883, 52913, 52572, 54583, 52913, 54212, 56132, 51996, 50818, 53151, 50811, 52913, 54499, 50862, 50799, 52032, 51662, 58047, 51352, 53121, 59165, 69628, 51527, 50426, 51963, 50901, 51648, 50873, 52099, 50849, 52366, 53505, 51648, 50813, 52099, 50836, 52366, 50809, 51963, 59983, 51776, 51095, 52970, 51221, 51906, 51221, 51683, 68031, 52664, 50845, 51963, 50849, 52489, 50805, 52099, 54093, 52489, 50862, 52099, 50836, 52664, 50810, 51963, 50854, 50799, 59152, 50938, 52970, 50937, 52103, 50987, 57273, 50805, 54295, 50873, 51683, 50795, 51996, 50849, 51836, 52115, 52664, 50841, 52103, 50820, 51963, 50841, 51648, 50828, 65074, 50862, 55865, 50855, 51946, 50828, 52601, 52905, 52489, 50795, 53152, 51060, 52099, 51158, 50712, 50291, 51095, 54961, 51095, 64010, 50991, 52541, 51173, 53343, 51379, 50438, 65074, 50937, 52664, 50917, 52103, 50937, 52489, 50938, 52425, 50865, 55865, 50873, 52541, 50910, 53916, 54630, 52719, 50841, 51963, 50839, 51906, 50841, 52099, 50884, 57017, 50813, 55282, 50855, 52032, 50846, 53343, 55268, 51683, 51215, 65575, 51238, 51713, 51235, 56636, 51112, 52970, 51112, 52489, 51345, 51836, 51073, 53151, 51073, 52913, 54078, 59426, 52913, 53338, 50895, 50799, 53121, 57623, 56315, 51527, 50426, 51963, 50937, 51648, 50849, 52099, 51060, 52366, 51060, 50435, 51963, 50813, 51648, 50813, 52099, 50836, 52366, 53574, 52970, 51116, 51906, 51124, 51683, 51116, 51776, 59323, 52489, 50805, 52664, 51100, 51963, 51111, 52099, 51060, 50459, 52664, 50820, 51963, 50828, 52489, 50870, 52099, 50846, 50799, 65575, 50830, 56636, 50910, 52970, 50938, 51906, 50938, 51713, 50924, 51683, 55099, 51683, 50828, 57017, 50836, 55282, 50855, 52719, 50836, 51648, 50855, 51776, 52329, 55865, 51204, 54961, 51241, 52099, 51091, 52425, 51204, 65074, 50983, 52747, 51364, 50450, 57017, 51111, 55282, 51111, 52970, 51111, 52099, 51111, 52366, 51158, 53343, 51060, 52560, 53888, 54093, 57017, 50846, 55282, 50828, 52970, 50818, 52099, 50818, 52366, 50884, 53343, 50828, 52560, 54212, 50818, 50799, 65575, 50991, 56636, 50991, 52103, 51116, 52099, 50991, 52306, 51235, 51713, 51346, 53151, 51427, 55662, 72885, 72598, 55865, 51116, 54961, 51124, 52489, 50991, 51683, 51172, 52425, 50991, 52747, 51235, 53916, 51238, 52324, 69362, 51379, 50438, 57273, 50991, 54295, 50991, 51963, 51116, 52099, 50991, 51713, 50991, 52366, 51235, 53343, 51238, 53121, 67043, 77778, 56636, 50991, 52970, 50991, 52489, 50991, 51906, 50991, 52099, 50991, 51776, 51235, 53343, 50991, 55515, 63924, 51460, 50799, 52664, 51336, 51713, 51551, 55865, 50918, 52103, 51336, 51963, 51336, 51683, 51336, 51836, 51356, 52324, 61738, 78591, 52324, 53338, 56865, 52324, 52572, 54216, 52324, 54499, 54002, 52324, 52572, 53894, 52324, 72885, 55510, 51426, 50901, 62636, 54178, 67440, 60370, 51154, 65844, 73159, 59616, 51088, 50844, 50799, 52907, 50858, 55908, 50858, 50660, 50348, 58320, 51375, 51623, 50419, 52143, 50858, 54610, 54149, 51887, 50833, 54841, 53627, 51699, 50836, 56511, 53574, 52316, 51661, 63000, 51661, 50444, 51395, 50805, 50660, 50355, 52768, 51107, 51427, 50660, 50354, 52937, 76090, 50660, 50352, 50817, 50799, 52776, 50821, 51165, 51358, 57853, 50821, 50660, 50350, 53213, 52371, 50821, 56577, 52422, 51699, 50833, 56511, 53627, 51883, 50855, 56531, 54431, 51638, 51472, 56631, 51472, 50450, 51088, 51192, 73159, 52163, 50660, 50348, 57895, 51375, 57651, 72881, 50660, 50350, 50817, 50799, 59152, 51157, 57273, 51159, 56844, 51109, 51357, 51003, 50660, 50351, 52968, 65074, 51159, 64010, 51159, 54961, 50915, 51488, 51016, 50660, 50353, 52952, 56844, 51411, 50712, 50291, 51290, 64010, 51109, 52970, 50981, 51395, 51016, 50660, 50355, 52768, 50712, 50291, 51427, 55912, 51203, 54961, 51162, 52103, 51411, 50660, 50357, 58614, 51201, 51090, 50799, 50660, 50350, 58320, 51165, 51977, 50420, 65074, 51194, 56636, 51116, 52970, 51124, 52103, 51221, 52695, 51110, 51996, 51215, 52032, 51095, 51426, 51162, 52316, 51227, 52602, 51112, 51154, 51400, 50804, 56315, 54562, 65074, 50836, 56636, 50840, 52103, 50855, 52970, 50810, 52695, 50833, 51996, 50812, 52032, 50809, 51426, 50830, 52602, 50808, 52316, 50812, 51154, 53119, 60486, 53294, 50634, 52719, 50940, 65074, 51030, 56636, 51030, 52103, 50948, 52665, 51045, 51996, 51014, 52032, 50950, 52602, 50806, 51251, 50805, 51154, 50917, 52316, 57361, 77625, 50949, 54141, 50962, 51382, 50858, 53061, 53268, 50804, 50803, 50799, 54160, 53238, 51072, 51230, 52054, 56073, 50415, 55348, 51212, 52673, 51111, 50420, 54160, 50962, 52068, 51510, 52992, 54747, 52279, 51021, 79012, 52789, 50813, 56462, 50855, 53631, 56240, 50962, 51762, 50433, 54379, 50889, 52901, 50835, 54775, 50834, 53676, 50995, 50435, 55617, 50893, 51762, 51450, 51066, 51931, 50441, 53631, 54465, 52901, 50886, 54747, 51049, 54847, 53631, 50836, 60899, 55617, 55404, 51054, 51842, 50451, 52901, 50938, 54379, 52961, 53853, 50867, 54747, 51049, 56569, 54379, 50808, 52901, 50833, 51762, 50799, 54160, 53579, 51072, 51892, 50420, 54160, 50890, 52068, 51510, 52639, 54747, 54332, 51735, 65875, 52673, 51142, 55348, 51365, 53631, 52816, 51594, 54112, 55617, 51052, 57352, 52789, 50864, 51450, 60396, 62090, 56462, 66424, 53676, 58709, 53631, 62505, 54379, 51337, 50444, 56072, 50924, 69440, 56242, 50952, 60899, 55288, 50874, 57601, 51306, 60706, 58224, 51237, 51762, 50453, 52901, 58677, 56462, 59132, 53631, 52625, 50873, 50799, 52789, 50810, 54160, 56583, 51237, 51762, 50417, 52901, 55394, 52350, 50933, 54160, 51179, 50834, 51510, 52639, 54747, 56106, 51054, 52112, 50427, 52901, 58191, 53631, 52259, 52153, 54665, 55617, 51575, 52950, 52673, 51806, 55348, 52056, 50798, 51237, 52105, 50441, 53631, 52878, 54747, 51052, 50841, 51618, 58321, 52673, 50835, 55348, 52743, 53631, 55404, 51237, 76199, 52789, 50844, 55617, 51508, 54370, 56462, 50912, 51931, 50799, 53676, 50912, 54160, 53351, 50824, 52105, 50417, 54379, 55394, 57601, 50845, 54160, 51179, 50854, 51510, 52639, 54379, 50864, 53631, 55060, 51237, 52068, 50429, 57601, 50864, 54747, 56087, 61961, 54438, 54196, 56788, 72571, 50854, 56070, 51041, 52950, 53747, 55130, 50824, 52068, 50439, 61961, 63231, 50668, 50343, 54947, 50668, 50344, 50874, 53930, 51508, 54803, 59785, 50874, 53747, 50898, 52772, 57601, 50874, 56070, 52997, 50824, 52105, 50453, 55617, 51420, 60053, 54379, 65847, 55096, 51759, 62533, 59521, 50895, 50799, 55432, 50867, 59785, 50813, 54160, 77690, 50824, 52112, 50417, 52789, 54475, 54775, 50812, 59785, 50862, 52385, 50423, 52789, 51373, 52712, 56462, 50813, 54747, 56106, 56351, 57544, 53676, 51010 ]
[ 0, 250, 25306, 30062, 620, 7085, 2125, 14, 7630, 6568, 10, 1472, 9, 9066, 4149, 8, 3722, 10603, 6, 4246, 10, 15651, 3222, 5785, 227, 5, 30062, 620, 7085, 12280, 642, 6, 6755, 12547, 6, 26432, 636, 3938, 22052, 6, 8, 21072, 6, 70, 278, 11, 10, 38971, 155, 73, 306, 86, 6543, 8, 1375, 23, 41, 178, 5285, 2877, 11, 5, 762, 9, 230, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 51034, 50625, 50416, 51107, 51662, 52776, 51592, 51699, 51592, 51357, 53233, 50417, 51182, 51662, 51088, 51592, 62286, 51251, 51080, 51107, 51080, 50416, 54333, 51314, 52065, 51314, 51491, 51080, 50440, 52143, 51108, 51299, 51108, 51301, 51097, 51088, 51108, 51266, 50995, 51093, 55116, 51018, 50416, 51201, 55116, 52907, 55116, 51887, 55116, 51284, 55408, 50417, 51113, 55116, 50434, 51558, 50925, 50436, 51284, 53415, 51182, 73048, 51182, 51192, 62286, 51926, 51111, 50421, 51733, 70884, 51384, 62209, 51733, 53380, 75695, 55780, 51592, 52830, 51592, 51182, 51592, 51088, 52140, 51266, 51662, 51357, 53233, 51018, 50416, 51491, 51080, 54333, 51447, 52065, 51447, 51251, 51148, 51107, 51080, 50439, 51093, 51801, 50440, 52143, 50932, 51299, 50932, 51301, 50932, 51266, 50932, 51088, 51381, 51018, 50416, 52907, 50932, 51887, 73758, 51108, 51201, 50995, 51284, 50932, 50428, 52143, 50932, 51299, 50932, 51301, 51097, 51266, 50981, 50429, 51088, 51109, 50439, 51113, 50995, 51284, 51003, 50440, 52907, 50995, 51887, 50995, 51201, 51003, 51018, 50416, 51088, 50914, 52143, 50915, 51299, 50915, 51301, 50914, 51266, 50943, 50428, 50624, 52907, 50914, 51887, 50914, 51113, 50889, 51201, 50914, 51284, 61298, 52143, 51191, 51299, 51191, 50440, 50624, 51301, 51013, 51088, 51013, 51266, 51013, 51018, 50416, 50625, 51201, 52045, 51887, 52903, 51113, 54300, 51284, 54300, 52907, 53090, 51018, 51018, 50416, 50626, 52143, 51101, 59861, 51677, 64884, 51538, 50422, 51699, 50974, 53748, 51328, 50428, 51301, 51244, 52650, 51277, 50434, 52566, 51481, 50440, 53260, 61554, 52566, 50838, 51018, 50416, 52602, 51212, 62796, 51422, 78638, 51518, 50422, 51887, 50974, 53118, 77829, 51251, 51244, 53267, 51277, 50434, 52697, 51481, 50440, 53000, 51277, 50446, 52697, 50838, 51018, 50416, 52143, 51212, 59861, 51662, 64884, 51538, 50422, 51699, 50974, 53748, 51277, 50428, 51301, 51244, 52650, 68232, 52566, 51481, 50441, 53260, 69262, 52566, 51174, 51018, 50416, 52602, 51212, 62796, 51662, 78638, 51518, 50422, 51887, 50974, 53118, 51481, 50428, 51251, 51244, 53267, 51328, 50434, 52697, 80031, 50624, 53000, 79947, 52697, 50838, 62286, 51304, 51218, 50416, 50626, 52143, 51328, 59861, 51592, 64884, 51422, 50422, 51699, 51277, 53748, 50905, 50428, 51301, 51148, 52650, 50972, 50434, 51182, 51003, 52566, 51079, 50440, 53260, 51328, 50445, 51304, 69117, 52566, 51006, 62286, 51384, 51518, 50416, 52602, 51277, 62796, 51677, 78638, 51518, 50422, 51887, 50974, 53472, 50972, 50428, 51251, 51080, 53118, 50972, 50434, 53267, 51277, 50440, 52697, 50974, 50446, 53267, 50905, 62286, 51304, 51115, 50416, 53215, 51277, 70563, 51422, 50696, 50277, 51518, 50422, 52830, 51277, 53748, 50905, 50428, 51299, 51314, 52890, 51242, 50433, 51182, 50915, 50434, 52566, 50972, 50440, 53260, 75029, 51304, 69117, 52566, 50974, 62286, 51384, 51101, 50416, 52481, 50838, 63950, 51803, 68741, 51518, 50421, 51304, 51121, 50422, 51638, 51328, 54969, 51079, 50427, 51394, 50873, 50428, 51088, 51080, 52650, 51277, 50433, 51284, 67632, 53267, 51328, 50439, 51182, 51101, 50440, 54254, 51212, 50445, 51394, 51121, 50446, 53267, 50845, 60131, 50845, 62286, 51304, 51115, 50416, 52143, 51277, 59861, 51677, 64884, 51422, 50422, 51699, 51277, 53748, 51212, 50428, 51301, 51080, 52650, 51277, 50433, 51182, 51003, 50434, 52566, 50972, 50440, 53260, 50974, 50445, 51304, 51121, 50446, 52566, 50838, 62286, 52602, 51328, 50416, 51384, 50845, 62796, 51677, 78638, 51518, 50421, 51304, 51121, 50422, 51887, 51328, 53472, 63794, 51394, 50873, 50428, 51251, 51080, 53118, 51277, 50433, 51284, 51121, 50434, 53267, 70381, 51182, 50845, 50440, 52697, 51277, 50445, 51394, 51101, 50446, 53267, 51006, 62286, 53215, 51242, 51284, 51115, 50416, 70563, 51422, 50696, 50277, 51933, 50421, 52830, 51337, 50422, 53748, 50905, 50428, 51299, 51314, 52890, 51242, 50433, 51266, 50915, 50434, 52566, 80031, 53260, 69265, 51107, 51101, 50446, 52566, 50974, 62286, 52907, 51423, 51266, 51047, 50416, 74008, 51677, 50696, 50273, 51518, 50422, 52143, 51277, 53118, 51277, 50428, 51883, 51080, 52890, 51277, 50434, 52566, 80031, 51107, 50915, 53000, 51309, 50446, 52566, 65390, 50832, 50820, 51034, 50832, 57030, 50832, 64301, 52143, 51481, 51093, 51013, 51093, 51295, 51304, 51141, 59861, 51422, 64884, 51933, 50832, 68383, 51422, 50422, 51699, 50972, 53748, 51101, 50428, 51088, 51013, 51301, 51080, 52650, 51212, 50434, 78580, 67837, 52566, 51242, 50440, 51301, 50914, 53260, 51212, 50445, 51093, 51060, 51304, 51192, 50446, 52566, 50892, 62286, 51107, 51486, 51384, 51161, 50416, 52602, 51481, 64509, 62796, 51518, 78638, 51518, 50422, 51887, 51277, 53472, 50892, 50428, 51165, 51091, 51251, 51080, 53118, 51212, 50434, 53267, 51328, 50440, 51107, 50914, 52697, 51212, 50446, 53267, 78876, 50832, 50820, 51034, 50832, 57030, 51093, 51189, 51304, 50983, 50832, 64301, 53215, 51277, 67914, 70563, 51422, 50696, 50277, 51518, 50832, 74430, 52830, 51337, 53748, 50892, 50428, 51113, 50914, 51299, 51314, 52890, 51328, 50433, 51088, 51003, 51182, 50889, 50434, 52566, 51328, 50440, 51301, 50914, 53260, 51101, 50445, 51093, 51177, 51304, 51111, 50446, 52566, 50905, 62286, 51107, 50845, 51384, 50849, 50416, 52481, 51481, 51426, 50914, 63950, 51803, 68741, 51518, 50421, 51093, 51212, 51304, 51121, 50422, 51638, 50838, 54969, 63794, 51165, 51100, 51394, 51060, 50428, 51088, 71533, 51314, 52650, 50974, 50433, 51113, 51212, 51284, 51121, 50434, 53267, 51242, 50439, 51088, 50901, 51182, 50805, 50440, 51165, 50914, 54254, 67446, 51165, 51212, 51394, 51121, 50446, 60131, 50845, 53267, 51242, 50449, 50832, 50820, 51034, 50832, 57030, 51093, 51417, 51304, 51291, 50832, 64301, 52143, 51328, 51093, 51013, 59861, 51422, 64884, 51518, 50832, 74430, 51699, 51277, 53748, 51101, 50428, 51088, 50914, 51301, 51244, 52650, 51277, 50434, 51088, 51003, 51182, 50889, 52566, 51277, 50440, 51301, 50914, 53260, 74307, 51093, 50892, 51304, 50873, 52566, 50838, 51018, 50416, 52602, 50974, 51107, 50892, 51384, 50873, 51154, 50914, 62796, 51422, 78638, 51518, 50421, 51093, 51177, 51304, 51111, 50422, 51887, 51242, 53472, 51212, 50427, 51165, 51177, 51394, 51111, 50428, 51165, 51013, 51251, 51080, 53118, 70488, 51113, 51101, 51284, 51100, 50434, 53267, 51242, 50439, 51088, 51212, 51182, 51121, 50440, 51107, 50914, 52697, 67031, 51165, 50901, 51394, 65052, 53267, 65390, 50832, 50820, 51034, 50832, 57030, 51113, 51115, 51284, 51189, 50832, 64301, 53215, 51328, 51093, 50914, 70563, 51422, 50696, 50277, 51486, 50832, 74430, 52830, 51328, 53748, 51242, 50428, 51113, 50914, 51299, 51447, 52890, 51212, 50434, 51301, 50981, 51266, 50943, 52566, 51242, 50440, 51301, 50914, 53260, 67031, 51251, 51177, 51107, 51111, 50446, 52566, 50892, 62286, 51301, 51103, 51266, 76971, 52907, 51277, 51299, 50914, 74008, 51422, 50696, 50273, 51422, 50422, 52143, 51753, 53118, 51328, 50428, 51154, 51013, 51883, 51314, 52890, 51328, 50434, 52566, 51277, 50440, 50624, 51251, 50943, 68831, 67769, 53000, 51212, 50446, 52566, 50892, 50449, 50832, 50820, 51034, 50832, 57030, 50832, 64301, 50626, 52143, 51328, 51093, 51090, 51093, 52121, 51304, 52250, 59861, 51422, 64884, 51538, 50832, 68383, 51422, 50422, 51699, 51277, 53748, 51212, 50428, 75840, 51301, 51314 ]
[ 0, 713, 14899, 3495, 2214, 22750, 1626, 5823, 8, 10563, 6, 1969, 13, 5, 1619, 191, 4, 6208, 38645, 8, 2382, 3459, 29589, 6, 552, 19, 10, 25044, 139, 10170, 1499, 6, 2236, 1021, 2678, 29, 6, 8, 3459, 9590, 6, 1045, 10, 20902, 33301, 4, 590, 10, 1769, 20889, 9, 18461, 741, 1685, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 211, 538, 6, 4246, 10, 33215, 16739, 9, 211, 6, 272, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56236, 50796, 50460, 50988, 53454, 50461, 50848, 53651, 50799, 51914, 53201, 51676, 52204, 52333, 52720, 50847, 53454, 65853, 52826, 55831, 55392, 54240, 53413, 55837, 53082, 50416, 50935, 53082, 50450, 52330, 50795, 51813, 59781, 51531, 50795, 51855, 50987, 50799, 51666, 51159, 52525, 55973, 51531, 51159, 51855, 51380, 50437, 50988, 51183, 50848, 57937, 52330, 50889, 51813, 50995, 50847, 51562, 65661, 51417, 54240, 51749, 55837, 51448, 53136, 51749, 70031, 51562, 50450, 51873, 50807, 52708, 50914, 50452, 78430, 79255, 53201, 51829, 52204, 51873, 51112, 52708, 51025, 51332, 51353, 50739, 50292, 51801, 56431, 51801, 54240, 52337, 53091, 52337, 50415, 50868, 51036, 50416, 50847, 51359, 50418, 50909, 51151, 50426, 51994, 51413, 52456, 69600, 51994, 55069, 52456, 51174, 50799, 51531, 51227, 51855, 51109, 50415, 51332, 51359, 50868, 52071, 50417, 50847, 51714, 50418, 50909, 52151, 50426, 52330, 50914, 51813, 54498, 51873, 50914, 52708, 57105, 51994, 51162, 52456, 68987, 52456, 52136, 50799, 51914, 51748, 52421, 51449, 51617, 51243, 51994, 51159, 51171, 52069, 50848, 51422, 50739, 50294, 51449, 57041, 52071, 53956, 51313, 53136, 53142, 50415, 50944, 51161, 50416, 50850, 51939, 50426, 53438, 51077, 52517, 51627, 50450, 51994, 50948, 52456, 55345, 51873, 50924, 52708, 50892, 79255, 56515, 52333, 54249, 51982, 54249, 52330, 51358, 51813, 51293, 50988, 53090, 50848, 53478, 50847, 52045, 50935, 53454, 65853, 52644, 55831, 55174, 54240, 53413, 55837, 52826, 55746, 51994, 50812, 51813, 52749, 51994, 50865, 51813, 56282, 51953, 51671, 51676, 52204, 51829, 51243, 51908, 51175, 51882, 51523, 50292, 51036, 50868, 51714, 50847, 51991, 50909, 51605, 50739, 50292, 51313, 56431, 53142, 54240, 51801, 53091, 52062, 50444, 52939, 50889, 52086, 70652, 51871, 51291, 52642, 51391, 55746, 52939, 50830, 52086, 60539, 51908, 50917, 51882, 54137, 51914, 53678, 52333, 51671, 51666, 50918, 52525, 51680, 50988, 51605, 50848, 52069, 50847, 51991, 50935, 51991, 65853, 51449, 55831, 52062, 55837, 52071, 52591, 51666, 50849, 52525, 53890, 52330, 50865, 51813, 54100, 51994, 50873, 52517, 58151, 51914, 51922, 52421, 51671, 51617, 51449, 51873, 51486, 52517, 51313, 52708, 51452, 51171, 51714, 50848, 52071, 50944, 51991, 50850, 51945, 55831, 51748, 57041, 51449, 53956, 51243, 55746, 52330, 50914, 51813, 76094, 52301, 51671, 52421, 51243, 51617, 51243, 51531, 51103, 53169, 51627, 52708, 51535, 51855, 51397, 51171, 51036, 50885, 51714, 50868, 51353, 50847, 51714, 50739, 50294, 51445, 56477, 53142, 57041, 51243, 53956, 53142, 62100, 51313, 50799, 53438, 51077, 53169, 51448, 52708, 51535, 51855, 51417, 50438, 53144, 52720, 51914, 52829, 51676, 51801, 51994, 55068, 52517, 52829, 51813, 52121, 50988, 51307, 50848, 51313, 50847, 51036, 50935, 51151, 55831, 52204, 54240, 52096, 55837, 53201, 76501, 50770, 50301, 51358, 61627, 50634, 53326, 51199, 53210, 51480, 50801, 64430, 52743, 53210, 50822, 52635, 54436, 52738, 53210, 51391, 52635, 51134, 51755, 52762, 52635, 52188, 53539, 51480, 50801, 52950, 53424, 51172, 53539, 69094, 53057, 53210, 69237, 52920, 52635, 51452, 51755, 52639, 50801, 52766, 53326, 50987, 53210, 69237, 52616, 53210, 51484, 52635, 51411, 60487, 52920, 53210, 51391, 52635, 51191, 51755, 52639, 52635, 51203, 53539, 80063, 52600, 53915, 50825, 53539, 66778, 57270, 53424, 73319, 53210, 50897, 53539, 52783, 50801, 52579, 52635, 51077, 51755, 53203, 50988, 50925, 50848, 55969, 61914, 54792, 53087, 74665, 50935, 55969, 58922, 50849, 52799, 50969, 54562, 61059, 59589, 68352, 55208, 50800, 53455, 50841, 51914, 50829, 51185, 50937, 51810, 50924, 50988, 63723, 55969, 58922, 50849, 79017, 53027, 56723, 51914, 72971, 50959, 51810, 50897, 50988, 51100, 50848, 55969, 61914, 50849, 59230, 53455, 50911, 51953, 50924, 51185, 50878, 51810, 50910, 50935, 59778, 61631, 54690, 51179, 53017, 50953, 50846, 51914, 50908, 51185, 50917, 51810, 50952, 50988, 69912, 57753, 65326, 50893, 51897, 50835, 52288, 50818, 51914, 50825, 51185, 51254, 51810, 50865, 50988, 57749, 57753, 62009, 50849, 52166, 53403, 50927, 51215, 51914, 50837, 51185, 50959, 51810, 50822, 50848, 55969, 57618, 50901, 59195, 53455, 50893, 51953, 50924, 51185, 51006, 51810, 50937, 50988, 50941, 50935, 59778, 59495, 55071, 51139, 53063, 77842, 51914, 50835, 51530, 51013, 53463, 51013, 50988, 50910, 52982, 50847, 65326, 50893, 51468, 55208, 50808, 53455, 50891, 51914, 50820, 50988, 51753, 50935, 57753, 62009, 50892, 53552, 53162, 50953, 50967, 51914, 50837, 51810, 72201, 56238, 57749, 50892, 59230, 53455, 51158, 51953, 50924, 51530, 50917, 50988, 50864, 50935, 57932, 61575, 55071, 51179, 53017, 50953, 50887, 51914, 50825, 51185, 50924, 50988, 54474, 57753, 65326, 51650, 51041, 50835, 52288, 50887, 53455, 50825, 51914, 73417, 50865, 50988, 51242, 50935, 55990, 62009, 50873, 52166, 53403, 50927, 51158, 53455, 50829, 51914, 74646, 69912, 54703, 58244, 50892, 55901, 52670, 53455, 51111, 51953, 50865, 52330, 50921, 79745, 50988, 50854, 61253, 56206, 50848, 55579, 51139, 52953, 79072, 51914, 50837, 51531, 50808, 50847, 65714, 50917, 51956, 55208, 50800, 53455, 50844, 51914, 50808, 51666, 50880, 50988, 63723, 55969, 58922, 50849, 52095, 51865, 53325, 50953, 50967, 51914, 50837, 51666, 50930, 50988, 51100, 50848, 55969, 61914, 50849, 61625, 53455, 51158, 51953, 50940, 51908, 77196, 59778, 61631, 54690, 51179, 52920, 50953, 50828, 51914, 50825, 52330, 78952, 69912, 57753, 65326, 50893, 52166, 50825, 52288, 50889, 53455, 50837, 51914, 50837, 51666, 50921, 50988, 57749, 57753, 62009, 50849, 52321, 53203, 53455, 50886, 51914, 50855, 52330, 66141, 55969, 57618, 50901, 57451, 53455, 51100, 51953, 50805, 52330, 50948, 50988, 50941, 50935, 59778, 59495, 55071, 51139, 52953, 50927, 50884, 51914, 50864, 51531, 78952, 50910, 52982, 50847, 65326, 50893, 51956, 55208, 50808, 53455, 50835, 51914, 50834, 51666, 50880, 50988, 50891, 51007, 50925, 50935, 50933, 65940, 65125, 53026, 52875, 50953, 50967, 53455, 50825, 51914, 50855, 51666, 50880, 50988, 57046, 50849, 61625, 53455, 50889, 51953, 50879, 51908, 51030, 50909, 57753, 56567, 51173, 56239, 52579, 79505, 51914, 50904, 52330, 50858, 50988, 50941, 50848, 59778, 68348, 54020, 72322, 52288, 50807, 51666, 51294, 50988, 50908, 51007, 57618, 54703, 58580, 51079, 52321, 53203, 53455, 50870, 51914, 50846, 50988, 51337, 50848, 56713, 58778, 66362, 50849, 57451, 53455, 50967, 51953, 51030, 51007, 50822, 62974, 55806, 50848, 55897, 51139, 52953, 50953, 50841, 51914, 50904, 50847, 61914, 71899, 50893, 51956, 55208, 50800, 53455, 51074, 51914, 65889, 51157, 51530, 51346, 50988, 51121, 51007, 61914, 57753, 58922, 50901, 53026, 52875, 50953, 50967, 51914, 50863, 63245, 56206, 62974, 51007, 51589, 53003, 53455, 50924, 51953, 74026, 50812, 51530, 50833, 50909, 57753, 55363, 50873, 56239, 52920, 79505, 51914, 79925, 51073, 51530, 51290, 50988, 50937, 50848, 56291, 50937, 50847, 59092, 50948, 52166, 50825, 52288, 50889, 53455, 50978, 51914, 71352, 58778, 55969, 58580, 50873, 52321, 53203, 51914, 50863, 51185, 50924, 50988, 51242, 50848, 56713, 58778, 65520, 50805, 57451, 53455, 50805, 51953, 50952, 51092, 50924, 51007, 57597, 56238, 57046, 50905, 54680, 52953, 50927, 50841, 51914, 50857, 52330, 50930, 51193, 58796 ]
[ 0, 250, 15855, 2125, 6, 533, 7, 28, 341, 25, 10, 19834, 6, 4246, 41, 21979, 8669, 816, 10, 19448, 8, 11653, 33301, 4, 20, 2214, 16, 11, 83, 538, 6, 19, 10, 1769, 20889, 8, 41, 18186, 112, 73, 398, 86, 6543, 4, 20, 1049, 33215, 16739, 10726, 9, 83, 6, 211, 6, 83, 6, 8, 211, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56236, 50947, 54177, 50632, 51444, 50974, 51444, 50845, 50947, 53172, 64629, 51078, 55544, 51078, 50873, 50947, 55306, 69468, 51444, 51003, 51067, 60510, 51078, 54230, 63880, 51078, 54509, 77475, 52012, 50915, 68020, 51540, 51317, 58299, 70700, 50929, 56692, 51317, 50981, 52012, 51148, 50998, 73006, 61447, 50462, 51317, 50943, 69164, 50474, 51444, 51003, 64226, 51078, 51003, 51540, 50998, 51003, 50929, 55382, 72490, 50947, 54975, 50929, 51003, 51207, 51145, 51076, 77307, 51207, 50932, 50462, 51846, 50981, 51292, 50943, 50474, 52012, 50995, 76901, 51078, 50889, 51067, 50995, 51540, 67806, 51292, 58299, 51078, 50981, 51067, 56656, 52012, 51145, 51131, 51244, 50998, 51244, 51316, 51145, 50462, 50947, 51097, 50474, 51444, 51097, 51444, 50981, 50947, 50981, 51540, 50960, 51003, 51078, 60324, 51078, 51003, 50947, 56509, 51131, 50995, 51444, 51183, 51067, 51183, 50450, 51078, 50914, 50462, 64226, 51078, 51097, 50474, 51131, 50995, 52012, 51183, 50947, 51183, 51540, 51317, 55382, 69164, 50929, 56692, 51317, 50995, 52012, 51148, 50998, 73006, 51131, 50995, 50462, 74328, 50998, 51003, 50474, 51444, 50915, 51444, 50915, 64226, 72490, 51540, 51078, 50943, 51067, 55973, 70642, 51078, 57937, 52012, 51003, 51317, 50981, 50947, 57197, 61447, 50929, 51097, 50462, 51317, 51003, 70700, 50474, 51444, 50915, 64226, 51444, 51244, 50960, 51244, 51540, 50998, 55382, 51078, 54975, 50929, 57197, 51169, 50943, 50462, 68020, 50474, 51444, 51097, 51444, 50915, 68020, 51540, 50960, 51003, 51078, 58187, 51078, 50914, 50947, 56509, 51131, 50995, 51444, 51183, 51067, 51183, 50450, 51078, 50914, 50462, 69432, 51078, 51097, 50474, 51131, 51097, 52012, 51047, 50947, 51047, 51540, 51317, 58299, 69164, 50929, 56656, 51317, 50995, 52012, 51244, 50998, 51244, 50450, 73077, 50462, 74328, 50998, 51003, 50474, 51444, 50915, 69432, 72490, 51540, 69164, 50929, 58299, 72490, 50947, 56509, 67806, 51207, 51183, 51076, 51183, 50450, 51207, 51097, 50462, 51846, 50981, 51292, 50943, 50474, 52012, 50995, 59737, 51078, 50807, 51067, 50995, 51540, 50929, 50943, 51292, 55382, 51078, 50981, 51067, 57937, 52012, 51145, 51131, 51145, 50998, 51145, 51316, 51145, 50462, 50947, 50932, 50474, 51444, 51097, 51444, 50981, 50947, 50981, 51540, 50960, 50943, 51078, 58187, 51078, 50943, 50947, 54975, 51131, 50995, 51444, 51183, 51067, 51183, 50450, 51078, 50889, 50462, 64226, 51078, 51097, 50474, 51131, 51097, 52012, 51047, 50947, 51047, 51540, 51317, 55382, 69164, 50929, 56656, 74328, 52012, 51145, 50998, 77307, 51131, 50995, 50462, 51317, 51003, 69164, 50474, 51444, 50981, 51444, 51003, 69432, 51078, 51003, 51540, 51078, 50914, 51067, 55973, 69432, 51078, 61417, 52012, 51003, 74328, 50947, 57197, 51131, 50995, 64387, 50462, 74328, 70700, 50474, 51444, 50995, 70642, 51444, 51047, 50960, 51047, 51540, 50960, 55382, 50960, 54975, 50960, 55247, 64226, 50462, 69432, 50474, 51207, 51097, 51207, 50914, 50929, 51097, 51076, 50914, 51540, 51078, 51097, 51064, 58187, 50929, 50981, 51076, 54975, 51207, 51003, 51076, 50914, 51067, 57197, 51064, 50995, 51316, 50995, 50462, 51076, 50981, 51067, 51003, 50474, 51444, 50932, 51444, 51097, 51078, 51097, 50947, 50932, 51540, 71932, 51169, 60324, 72490, 50947, 54975, 51444, 50943, 51078, 50981, 51067, 56508, 70700, 51316, 50995, 50462, 51078, 51003, 51067, 71207, 52012, 51097, 52012, 50995, 70439, 50929, 51097, 51540, 51136, 50981, 51078, 58187, 69164, 50929, 56509, 52012, 77749, 51003, 51076, 56508, 51078, 50981, 50947, 50995, 50462, 69164, 64387, 50474, 51444, 50995, 51444, 50981, 70642, 51078, 50981, 51540, 51078, 51003, 50947, 58299, 70439, 50929, 56692, 51444, 50995, 69432, 51078, 57991, 69164, 67806, 50462, 72490, 68020, 50474, 51207, 51003, 51207, 51003, 50929, 51003, 51076, 51003, 51540, 51078, 50981, 51064, 58326, 50929, 51003, 51076, 54975, 51207, 50943, 51076, 51003, 51067, 56508, 51064, 50981, 51316, 50995, 50462, 51076, 51003, 51067, 71207, 51444, 51097, 51444, 51097, 51078, 51097, 50947, 51097, 51540, 78349, 51169, 58326, 72490, 50947, 56692, 51444, 50943, 51078, 50981, 51067, 56508, 70700, 51316, 50915, 50462, 72490, 51067, 71207, 51207, 50995, 51207, 51003, 50929, 51003, 51076, 50995, 51540, 51078, 50981, 50947, 58187, 70439, 50929, 56692, 52012, 50981, 52012, 50981, 69432, 51078, 57105, 69164, 67806, 50462, 51317, 50981, 70439, 50474, 51444, 51003, 50960, 51003, 51444, 51148, 50960, 51148, 51540, 50960, 58326, 50960, 56692, 50960, 55247, 64226, 50462, 69432, 50474, 51207, 51097, 59498, 50929, 51097, 72211, 51540, 51078, 50995, 51064, 55382, 50929, 51003, 51076, 56509, 51207, 51003, 51076, 51003, 51067, 57197, 51064, 50981, 51316, 50995, 50462, 51076, 51003, 51067, 51003, 50474, 51444, 50932, 51444, 51097, 51078, 50932, 50947, 51097, 51540, 78349, 51169, 58187, 72490, 50947, 54975, 51444, 51003, 51078, 50995, 51067, 57197, 70700, 51316, 50915, 50462, 72490, 51067, 50943, 50474, 52012, 50932, 52012, 50981, 70700, 74237, 51540, 51136, 51003, 51078, 58187, 69164, 50929, 56692, 52012, 77749, 51003, 51076, 56508, 51078, 50995, 50947, 50981, 50462, 70439, 64387, 50474, 51444, 50995, 51444, 50995, 70642, 51078, 50995, 51540, 51078, 51003, 50947, 58299, 70700, 50929, 56656, 51444, 50995, 64226, 51078, 57991, 69164, 67806, 50462, 72490, 50947, 51003, 50474, 51207, 51003, 51207, 51003, 50929, 51003, 51076, 51003, 51540, 51078, 50995, 51064, 55382, 67806, 51076, 56509, 51207, 50943, 51076, 51003, 51067, 56508, 51064, 50981, 51316, 50981, 50462, 51076, 50915, 51067, 71207, 51444, 51097, 51444, 50995, 51078, 50995, 50947, 51097, 51540, 71932, 51169, 58187, 51078, 50981, 50947, 54975, 51444, 50914, 51078, 50981, 51067, 55441, 69164, 51316, 50981, 50462, 72490, 51067, 71207, 51207, 51097, 51207, 51003, 50929, 51003, 51076, 51097, 51540, 51078, 50995, 50947, 60324, 70700, 50929, 56692, 52012, 50995, 52012, 50981, 69432, 51078, 57991, 69164, 67806, 50462, 51317, 50981, 70700, 50474, 51444, 50915, 64226, 52028, 51047, 50960, 51047, 51540, 50998, 55382, 51078, 56509, 50929, 55247, 51169, 51003, 50462, 50947, 51003, 50474, 51207, 50943, 51316, 50943, 51207, 51244, 51540, 51076, 58326, 51311, 50915, 50929, 56692, 52012, 50981, 51131, 50995, 51078, 57105, 51311, 50915, 50929, 50981, 50462, 74328, 70700, 50474, 51444, 50981, 69432, 52028, 51145, 50960, 51145, 51540, 50998, 58326, 51078, 56509, 50929, 57197, 51169, 51003, 50462, 68020, 50474, 51207, 50943, 51316, 50943, 51207, 51080, 51540, 51076, 58326, 51311, 50915, 50929, 57937, 52012, 50995, 73077, 51078, 57991, 51311, 50915, 67806, 50462, 51317, 51003, 70700, 50474, 51444, 50915, 64226, 64226, 51540, 51131, 50995, 51078, 57908, 52028, 50981, 50947, 56389, 52012, 50932, 51207, 51003, 51317, 57197, 68986, 74328, 66976, 50462, 68986, 74328, 70439, 50474, 51444, 50981, 69432, 64226, 51540, 51131, 50995, 51078, 58299, 52028, 50995, 50947, 56389, 52012, 51097, 51207, 50943, 51317, 56508, 68986, 74328, 66976, 50462, 72103, 51317, 50981, 69164, 50474, 51444, 51145, 52028, 51047, 50960, 51145, 50960, 51047, 75196, 73723, 68986, 69164, 62299, 51316, 52424, 51444, 51127, 52028, 51145, 50960, 51145, 51078, 51127, 51067, 51127, 50462, 52012, 50981, 68986, 70700, 69164, 51316, 50981, 50474, 51444, 51422, 52028, 51677, 50960, 51677 ]
[ 0, 250, 8787, 5175, 15229, 19, 25771, 4785, 6, 42, 2125, 30853, 23, 10, 16906, 352, 2877, 6, 7630, 14805, 10, 1472, 9, 15073, 24018, 63, 15352, 30054, 16426, 4, 20, 13305, 1239, 5, 483, 6, 7513, 30, 5, 32625, 23225, 9, 10, 6755, 12547, 6, 21979, 8669, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 274, 538, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 4246, 272, 6, 230, 6, 163, 428, 6, 163, 43531, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50796, 50445, 55285, 53259, 51303, 51047, 51414, 51103, 51457, 51623, 57117, 53259, 51515, 51047, 51773, 51103, 51669, 51623, 51863, 53478, 58366, 53413, 53181, 55482, 52177, 53075, 53142, 53369, 53142, 50426, 51303, 53838, 51414, 56615, 51457, 55765, 51515, 53838, 51773, 56615, 51669, 55765, 50436, 52303, 51422, 52557, 51422, 50446, 51303, 51159, 51515, 74323, 51414, 51160, 51773, 51160, 52478, 51457, 51110, 51669, 51110, 50428, 53655, 51358, 51457, 51358, 51825, 50918, 53722, 51358, 51669, 51358, 52327, 50918, 51656, 51486, 55430, 51161, 50438, 52326, 51627, 52806, 51627, 50448, 51410, 51100, 51614, 51100, 50458, 52690, 51941, 51231, 51486, 51414, 51161, 51457, 51538, 52769, 51941, 51434, 51486, 51773, 51161, 51669, 51538, 50799, 53817, 51894, 51615, 53454, 51863, 53082, 50449, 51414, 50795, 51773, 72623, 51249, 50866, 51440, 61219, 56139, 51364, 51231, 51196, 55677, 51364, 51434, 51196, 57166, 51675, 52340, 51803, 55753, 52303, 51312, 52557, 51312, 50430, 51687, 51178, 52027, 51178, 50440, 53075, 51486, 51231, 51685, 51414, 50918, 53369, 51486, 51434, 51685, 51773, 78670, 51714, 54720, 51307, 56020, 51476, 51100, 51303, 51714, 51249, 51346, 51774, 51100, 51515, 51714, 51440, 51346, 50442, 55285, 52903, 51414, 51103, 51457, 51356, 57117, 52903, 51773, 51103, 51669, 51356, 52037, 51675, 51743, 53478, 50452, 53075, 56004, 53369, 56004, 71965, 51677, 52557, 51677, 50421, 52290, 75827, 51303, 51542, 51515, 51542, 50425, 52037, 62763, 52184, 57018, 51612, 51422, 50443, 51303, 52518, 51515, 52518, 50453, 52303, 51380, 51457, 51241, 52557, 51380, 51669, 51241, 51601, 51303, 51277, 51515, 51277, 50425, 51096, 53090, 55285, 53090, 51303, 51047, 51414, 51103, 57117, 53090, 51515, 51047, 51773, 51103, 53181, 55277, 51743, 55482, 50798, 51603, 50832, 51483, 51544, 62268, 53075, 53233, 53369, 53233, 51612, 51661, 52037, 51397, 50843, 56651, 54207, 52303, 51662, 52557, 51662, 71410, 50903, 74362, 51303, 51391, 51457, 50918, 51515, 51391, 51669, 50918, 52037, 51417, 53755, 51448, 50903, 51761, 50832, 51072, 51065, 51012, 55746, 51722, 50807, 51612, 51097, 50431, 51303, 52946, 51515, 52946, 50436, 52303, 51419, 51303, 51051, 51414, 50914, 52557, 51419, 51515, 51051, 51773, 50914, 51567, 50889, 52184, 51199, 50446, 51303, 51142, 51457, 51051, 51515, 51142, 51669, 51051, 51612, 54484, 52037, 53753, 50456, 71926, 53655, 50910, 51303, 50844, 51249, 50833, 51327, 50812, 53722, 50910, 51515, 50844, 51440, 50833, 51607, 50812, 51838, 50839, 55430, 50917, 51656, 50849, 52478, 75718, 53655, 50795, 51303, 51058, 51249, 50925, 51327, 50897, 53722, 50795, 51515, 51058, 51440, 50925, 51607, 50897, 51743, 51749, 55430, 51291, 51656, 51103, 51838, 51307, 62469, 59921, 50953, 51452, 55383, 51358, 51410, 51103, 51303, 51183, 51231, 51675, 51414, 51591, 57848, 51358, 51614, 51103, 51515, 51183, 51434, 51675, 51773, 51591, 78383, 53817, 51591, 51863, 52015, 51065, 51077, 50457, 52190, 51400, 53069, 50945, 51191, 53075, 51115, 51303, 51191, 51249, 51204, 53369, 51115, 51515, 51191, 51440, 51204, 51711, 51310, 54720, 51295, 51656, 51448, 51743, 52337, 50798, 51400, 51065, 51603, 52190, 51400, 50438, 51096, 53090, 55285, 53259, 51410, 51162, 51303, 51417, 51414, 51189, 57117, 53259, 51614, 51162, 51515, 51417, 51773, 51189, 51838, 52644, 58366, 55068, 51863, 55408, 50798, 51603, 51065, 52097, 50448, 51612, 51291, 52037, 51562, 50458, 53075, 51445, 53369, 51445, 50832, 51021, 51601, 50832, 53299, 51303, 51128, 51414, 51047, 51457, 51047, 51515, 51128, 51773, 51047, 51669, 51047, 52037, 51189, 53755, 51417, 50832, 76131, 51021, 50440, 51303, 54887, 51515, 54887, 51722, 50914, 51612, 57197, 52303, 51477, 51414, 51318, 51457, 51134, 52557, 51477, 51773, 51318, 51669, 51134, 51567, 51016, 52184, 51253, 50460, 51303, 51753, 51515, 51753, 52037, 52045, 53755, 53487, 55753, 71926, 53655, 50910, 51303, 50827, 51249, 50878, 51327, 50833, 53722, 50910, 51515, 50827, 51440, 50878, 51607, 50833, 51743, 51337, 51656, 51162, 55430, 51538, 51711, 51692, 50798, 51021, 51065, 50977, 50431, 50927, 51124, 53655, 51346, 51303, 51542, 51249, 51162, 51327, 51162, 53722, 51346, 51515, 51542, 51440, 51162, 51607, 51162, 51656, 51397, 51743, 77005, 51021, 51065, 51021, 50441, 50852, 51174, 50451, 52280, 51227, 50945, 51353, 53075, 52069, 51476, 51894, 51231, 52500, 51414, 51605, 53369, 52069, 51774, 51894, 51434, 52500, 51773, 51605, 51656, 51128, 51615, 51714, 51863, 53142, 54720, 51894, 50798, 51021, 51065, 51021, 50461, 52280, 51573, 75695, 52213, 51541, 50443, 51756, 51603, 50452, 52280, 51551, 51096, 51183, 52303, 51939, 51303, 51939, 51414, 51645, 51457, 51233, 52557, 51939, 51515, 51939, 51773, 51645, 51669, 51233, 51037, 51591, 51881, 57771, 53181, 55392, 51863, 63712, 50798, 55744, 50855, 61464, 51419, 50791, 62520, 51457, 51363, 51669, 51363, 51007, 51427, 50903, 51582, 62108, 52280, 51227, 51096, 50878, 50872, 52056, 50798, 51420, 54305, 52280, 51362, 51096, 51692, 52303, 51148, 52557, 51148, 51037, 51803, 50798, 55110, 61348, 51303, 51376, 51515, 51376, 50872, 53010, 50791, 61996, 51756, 51226, 51809, 51457, 51134, 51669, 51134, 50939, 61701, 51508, 67415, 51303, 51697, 51515, 58469, 50309, 51484, 67684, 54091, 51346, 50435, 52861, 50918, 50945, 51675, 53075, 52919, 51327, 51110, 53369, 52919, 51607, 51110, 51164, 66006, 55744, 62885, 51476, 53487, 51774, 53487, 50885, 51542, 52558, 50455, 51303, 51422, 51515, 51422, 50909, 51285, 50903, 55110, 50808, 52177, 52213, 51116, 50945, 50959, 51825, 50808, 52327, 73044, 73016, 51420, 63135, 52213, 51226, 50945, 51452, 50885, 67880, 52189, 61300, 50872, 52063, 50791, 63397, 52213, 51541, 50446, 51303, 51097, 51515, 51097, 78757, 64893, 55433, 52280, 51227, 50964, 51481, 51249, 50974, 51440, 56144, 51477, 51468, 52478, 51756, 51196, 50945, 51183, 53075, 51337, 53369, 51337, 51164, 53259, 50798, 56022, 78753, 51476, 51242, 51774, 51242, 50885, 51293, 50791, 63502, 51303, 52151, 51515, 52151, 50438, 52287, 50910, 52807, 50910, 50909, 51977, 50903, 52675, 66943, 51756, 51227, 50945, 50987, 51327, 51008, 51607, 51008, 50872, 64416, 55593, 57168, 51825, 52069, 52327, 52069, 50458, 52280, 51362, 50945, 51422, 50850, 75751, 55110, 50840, 52591, 50872, 52011, 50791, 61880, 52280, 51226, 50429, 51303, 51283, 51515, 51283, 75714, 64893, 66905, 51760, 51112, 73360, 52470, 50449, 51760, 51103, 51096, 51183, 52303, 51307, 52557, 51307, 51037, 50889, 53181, 56235, 51838, 71620, 50798, 55744, 57326, 51303, 51293, 51515, 51293, 50872, 51328, 52558, 55753, 51414, 51145, 51327, 51183, 51825, 51359, 51773, 51145, 51607, 51183, 52327, 51359, 51007, 51356, 50903, 52189, 59955, 51850, 51112, 51096, 55664, 66673, 51420, 70686, 51096, 51518, 51037, 60881, 55110, 57108, 51850, 70233, 50872, 51852, 50791, 62802, 51760, 51226, 50460, 52303, 51534, 51303, 51645, 52557, 51534, 51515, 51645, 50872, 50982, 50939, 58028, 51508, 50887, 56020, 52527, 51346, 50927, 51177, 51457, 51309, 51669, 51309, 50872, 51423, 52470, 50432, 52527, 51551, 51105, 51077, 51687, 53849, 51719, 51939, 51414, 51233, 51980, 51043, 52027, 53849, 51944, 51939, 51773, 51233, 52603, 51043, 50979, 53898, 52332, 53478, 52402, 56235, 50798, 55744, 64781, 51414, 50974, 51773, 63855, 79202, 76690 ]
[ 0, 250, 20902, 8, 17627, 17274, 247, 3495, 2214, 14, 7630, 6568, 5, 4780, 9, 1619, 4, 660, 21979, 8669, 8, 2020, 3548, 7031, 783, 40286, 150, 10, 856, 17993, 1974, 5, 15352, 30054, 483, 6, 70, 2800, 30, 41, 21979, 9590, 4, 20, 2125, 16, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 3136, 23, 10, 6379, 27841, 3006, 11332, 20889, 9, 15452, 13410, 228, 2289, 6, 5705, 36830, 227, 5, 40286, 9, 211, 119, 406, 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 ]
[ 50799, 50649, 51461, 51218, 57280, 51218, 55929, 79416, 55338, 53663, 51098, 51218, 53476, 54145, 56102, 50824, 57732, 51003, 51461, 51218, 56102, 54226, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51891, 55224, 52344, 53663, 74962, 51098, 51218, 51707, 53681, 51891, 54526, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 54098, 51707, 51072, 57732, 51003, 51461, 51218, 52162, 54226, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52162, 53566, 52181, 53663, 51164, 51003, 51140, 51218, 52131, 70851, 71209, 65131, 59381, 65148, 53587, 50862, 54291, 50862, 54269, 50862, 51891, 57024, 51707, 50824, 62870, 51003, 51261, 51218, 52162, 54226, 52344, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 53937, 53566, 51707, 53663, 74962, 51098, 51218, 52162, 53681, 52344, 54145, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 53937, 54098, 51707, 50824, 62870, 51003, 51261, 51218, 52162, 54226, 52344, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 53937, 53566, 51707, 53663, 74962, 51098, 51218, 55338, 70851, 74962, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 51891, 57024, 51707, 51072, 57732, 51003, 51461, 51218, 56102, 52410, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51891, 55224, 52344, 53663, 74962, 51098, 51218, 51707, 53681, 51891, 54526, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 54098, 51707, 51072, 57732, 51003, 51461, 51218, 52162, 54226, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52162, 53566, 52181, 53663, 51164, 51003, 51140, 51218, 52131, 51300, 50450, 71209, 65131, 59381, 65148, 53587, 50862, 54291, 50862, 54269, 50862, 51891, 51285, 57746, 51003, 51098, 51218, 52391, 54226, 51997, 54107, 74962, 62224, 59381, 50935, 51003, 53081, 50862, 54291, 50862, 56268, 50862, 51891, 55224, 51707, 52125, 51171, 51003, 51273, 51218, 51707, 53681, 51891, 54526, 74962, 62224, 59381, 50935, 51003, 53081, 50862, 54291, 50862, 56268, 50862, 53154, 54098, 51707, 51072, 57746, 51003, 51098, 51218, 51891, 55419, 52344, 54107, 74962, 62224, 59381, 50935, 51003, 53081, 50862, 54291, 50862, 56268, 50862, 51707, 53566, 51891, 53585, 51332, 51003, 51461, 51218, 51707, 53681, 52131, 54145, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52181, 54098, 52162, 50824, 57732, 51003, 51461, 51218, 56102, 52410, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51891, 55224, 52344, 53663, 74962, 51098, 51218, 51707, 53681, 51891, 54526, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 54098, 51707, 50824, 57732, 51003, 51461, 51218, 52162, 54226, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52162, 53566, 52181, 53663, 51164, 51003, 51140, 51218, 52131, 54145, 71209, 65131, 59381, 65148, 53587, 50862, 54291, 50862, 54269, 50862, 51891, 57024, 51707, 50824, 62870, 51003, 51261, 51218, 52162, 54226, 52344, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 53937, 53566, 51707, 53663, 74962, 51098, 51218, 51891, 55451, 52162, 54145, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 51707, 54098, 51891, 50896, 62870, 51003, 51261, 51218, 51707, 54226, 52344, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 53937, 53566, 51707, 53663, 74962, 51098, 51218, 55338, 54145, 74962, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 51891, 57024, 51707, 50824, 57732, 51003, 51461, 51218, 56102, 52410, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51891, 55224, 52344, 53663, 74962, 51098, 51218, 51707, 53681, 51891, 54526, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 54098, 51707, 50824, 57732, 51003, 51461, 51218, 52162, 54226, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52162, 53566, 52181, 53663, 51164, 51003, 51140, 51218, 52131, 54145, 71209, 65131, 59381, 65148, 53587, 50862, 54291, 50862, 54269, 50862, 51891, 50896, 57746, 51003, 51098, 51218, 52391, 54226, 51997, 54107, 74962, 62224, 59381, 50935, 51003, 53081, 50862, 54291, 50862, 56268, 50862, 51891, 55224, 51707, 52125, 51171, 51003, 51273, 51218, 51707, 53681, 51891, 54526, 74962, 62224, 59381, 50935, 51003, 53081, 50862, 54291, 50862, 56268, 50862, 53154, 54098, 51707, 50824, 57746, 51003, 51098, 51218, 51891, 55419, 52181, 54107, 74962, 62224, 59381, 50935, 51003, 53081, 50862, 54291, 50862, 56268, 50862, 53167, 53566, 52181, 53663, 51332, 51003, 51461, 51218, 53167, 53681, 52181, 54145, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 50824, 57732, 51003, 51461, 51218, 52554, 54226, 51891, 52247, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51891, 53566, 52344, 53663, 74962, 51098, 51218, 51891, 52313, 51891, 54526, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 54098, 51891, 50802, 57732, 51003, 51461, 51218, 51891, 55419, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51997, 53566, 51891, 53585, 74962, 51098, 51218, 51707, 52313, 51707, 54145, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51997, 54098, 51891, 50896, 62870, 51003, 51261, 51218, 52391, 54226, 52131, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 51891, 55224, 52391, 53663, 74962, 51098, 51218, 51707, 53681, 51891, 54526, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 52131, 54098, 52391, 50824, 62870, 51003, 51261, 51218, 51891, 55419, 52131, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 51707, 50824, 52391, 53566, 51891, 53585, 74962, 51098, 51218, 52391, 53681, 52131, 54145, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 52162, 50824, 57732, 51003, 51461, 51218, 52554, 54226, 51891, 52038, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51891, 55224, 52344, 53663, 74962, 51098, 51218, 51891, 52313, 51891, 54526, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 52344, 54098, 51891, 50802, 57732, 51003, 51461, 51218, 51891, 55419, 52344, 54107, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51997, 53566, 51891, 53585, 74962, 51098, 51218, 51707, 52313, 51707, 54145, 74962, 65131, 61560, 71873, 53587, 50862, 53546, 50862, 55540, 50862, 51997, 54098, 51891, 51016, 62870, 51003, 51261, 51218, 52391, 54226, 52131, 54107, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 51891, 55224, 52391, 53663, 74962, 51098, 51218, 51707, 53681, 51891, 54526, 51037, 51003, 62224, 59381, 71100, 53081, 50862, 54291, 50862, 58989, 50862, 52131, 54098, 52391, 50824, 57746, 51003, 51098, 51218, 51891, 55419, 52131, 54107, 74962, 62224 ]
[ 0, 250, 33928, 8, 31612, 5175, 3495, 2214, 4246, 3459, 29589, 8, 10, 31391, 1672, 9590, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 33301, 16, 1490, 198, 5, 40286, 83, 6, 381, 6, 211, 6, 8, 381, 406, 6, 2351, 41, 17627, 17274, 2365, 5466, 1328, 5, 1349, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 68266, 54834, 51282, 54834, 51083, 50896, 51938, 52281, 55229, 51268, 51736, 51083, 54993, 51089, 51173, 50445, 51208, 63505, 51083, 51060, 51601, 51023, 61857, 51268, 60315, 51089, 55885, 51268, 69323, 51089, 50980, 57958, 50896, 51282, 52149, 51763, 53073, 51083, 50896, 52321, 77845, 53087, 54423, 50901, 51268, 52108, 51135, 54562, 51684, 56970, 50893, 52455, 50895, 63706, 51173, 51089, 51158, 52166, 55186, 54144, 55637, 61722, 51208, 51016, 51899, 51135, 53563, 51349, 51173, 51083, 51158, 58005, 70404, 58842, 51684, 51090, 51023, 50914, 51039, 53087, 54423, 50873, 55901, 60760, 51268, 53182, 51684, 51100, 52120, 50883, 63706, 57599, 51650, 51041, 69396, 54423, 50879, 53342, 57565, 51268, 51192, 53659, 61925, 51349, 65399, 53342, 51033, 51089, 51500, 52120, 53650, 51910, 50879, 52619, 51045, 53659, 50883, 57958, 50961, 51684, 51095, 53438, 51030, 53737, 54249, 52468, 51346, 51664, 51345, 51083, 50896, 52453, 56868, 51322, 52188, 51547, 51124, 51229, 52059, 51039, 79736, 53438, 50894, 50424, 51229, 50925, 51547, 51006, 51322, 60341, 51664, 51100, 52468, 51058, 51268, 51486, 51694, 51044, 57469, 51229, 50844, 51547, 66142, 51322, 50844, 52468, 55286, 51684, 50858, 52468, 51709, 51664, 50980, 51322, 51576, 51547, 51124, 51083, 51103, 51897, 65109, 51229, 52059, 54585, 51204, 52321, 63895, 51229, 50987, 51547, 50978, 51322, 51376, 51664, 51309, 50443, 52468, 53027, 53438, 50923, 52468, 57154, 56156, 51229, 70635, 51547, 50907, 51322, 53996, 52468, 51333, 51664, 50838, 51322, 50905, 56239, 60376, 51547, 50914, 51229, 59727, 51349, 50880, 53438, 51033, 51664, 50974, 51322, 54042, 61765, 51083, 52069, 50459, 51020, 51894, 57958, 50807, 51994, 51138, 52468, 51162, 51208, 52069, 51897, 56868, 51664, 50879, 51322, 50795, 51209, 51124, 51229, 51178, 51039, 63754, 53438, 51138, 51664, 50838, 51322, 71203, 51229, 51534, 51209, 50978, 51322, 50977, 50425, 52468, 54689, 53737, 51283, 52468, 50897, 55901, 59485, 51664, 53847, 51209, 75985, 51322, 50904, 51664, 50857, 52468, 53196, 51684, 50921, 52468, 50845, 51664, 51012, 51322, 50901, 51209, 51427, 51229, 51354, 51897, 55622, 52468, 51524, 51664, 50974, 52166, 60032, 51349, 51460, 51322, 58709, 51229, 50866, 50442, 51209, 51006, 51322, 50887, 52468, 51884, 50444, 52619, 51460, 53737, 52136, 51664, 50805, 51322, 53330, 58781, 51229, 51679, 51209, 51108, 50448, 51322, 53996, 52468, 50892, 51664, 50806, 51322, 55579, 51041, 58418, 51349, 68681, 51322, 67301, 51910, 50808, 53342, 51030, 52468, 50959, 51664, 52201, 63554, 51322, 74879, 51083, 51417, 50459, 51268, 51191, 50460, 51209, 51269, 51322, 62800, 52468, 50941, 51023, 51714, 57958, 51090, 53438, 51014, 53737, 51692, 52468, 51411, 52453, 56868, 51664, 51013, 51322, 51255, 51547, 51178, 51229, 51452, 51039, 68936, 53438, 51030, 50424, 51547, 50851, 51322, 62475, 52468, 52872, 54423, 50873, 52468, 51079, 51664, 50923, 51322, 50806, 51268, 50879, 55901, 60854, 51547, 51343, 50432, 51684, 50879, 52468, 53024, 51664, 50943, 51322, 51097, 51083, 50893, 52321, 50961, 63706, 51173, 52468, 50972, 51089, 51173, 51897, 54586, 54144, 51013, 52468, 50901, 51664, 50806, 51322, 51427, 51547, 52808, 61722, 51229, 51241, 51208, 58833, 53737, 57820, 52468, 50942, 51664, 55182, 51179, 57905, 51547, 60554, 51547, 50892, 50454, 51322, 50849, 51664, 51110, 52468, 68590, 51349, 51158, 51083, 59218, 59426, 51229, 51709, 51547, 64224, 51322, 50904, 50799, 52468, 51159, 51664, 51454, 51322, 50991, 52166, 58842, 51684, 51090, 51547, 51460, 51023, 50914, 51039, 55893, 51229, 51199, 50424, 51547, 50889, 51322, 52524, 54423, 50873, 52468, 53697, 51664, 51603, 51322, 52504, 51044, 59485, 51268, 64919, 51684, 51111, 51322, 53095, 51135, 55135, 51229, 51365, 50436, 51547, 50851, 51322, 50904, 51664, 52519, 50437, 52468, 51703, 63706, 50795, 51322, 52034, 51547, 51460, 51089, 51650, 51179, 59575, 51229, 51167, 50443, 54423, 51918, 53342, 50894, 51268, 62201, 55551, 51229, 51174, 51547, 50905, 51322, 50974, 50449, 51349, 65399, 53342, 50894, 51089, 51500, 53659, 56246, 51229, 50874, 51547, 50912, 50454, 51322, 55735, 51910, 50795, 52619, 51033, 51664, 51242, 51322, 50897, 51547, 50808, 51229, 57328, 65493, 51229, 51330, 51547, 51108, 51322, 51123, 57958, 50883, 51684, 51110, 53438, 51045, 53737, 52337, 52468, 51452, 51083, 51151, 51268, 52392, 52321, 56868, 51664, 50901, 51322, 51203, 51023, 59125, 51039, 68936, 53438, 51014, 51664, 50905, 50424, 51229, 51058, 51547, 50805, 51322, 53172, 51664, 52782, 55901, 71586, 51229, 50851, 51547, 50971, 51322, 55286, 51684, 50858, 51664, 50873, 51322, 51221, 51547, 51160, 52321, 72090, 51229, 60326, 54585, 51191, 51664, 50892, 52321, 60464, 51229, 50917, 51547, 50844, 50442, 51322, 54400, 52468, 51074, 51664, 50901, 51322, 50844, 51547, 51589, 55551, 51229, 51524, 51547, 77047, 51322, 54939, 53438, 51138, 52468, 50915, 51664, 51003, 51322, 51412, 51547, 51235, 56239, 60376, 51229, 58483, 50456, 51349, 51864, 70000, 51994, 51021, 50459, 51229, 51210, 51547, 50827, 51322, 50912, 57958, 50807, 52468, 50915, 51664, 51054, 51322, 51345, 51209, 51460, 52166, 56868, 51229, 51354, 51039, 63655, 51229, 51645, 51209, 50912, 51322, 51423, 50426, 52468, 51142, 51664, 50845, 56239, 61749, 51209, 79935, 52468, 52011, 50432, 51684, 51033, 53438, 51012, 51664, 51376, 51897, 72090, 51322, 51221, 51209, 51653, 51229, 51233, 50438, 51664, 51387, 52455, 59575, 51349, 51460, 50442, 51229, 50812, 51209, 50822, 51322, 54247, 52619, 50923, 52468, 51697, 51664, 50972, 51322, 54225, 65266, 69787, 51229, 50974, 50448, 51209, 51022, 51322, 54823, 51910, 51238, 52468, 51097, 55359, 57905, 51664, 51330, 51322, 50987, 51209, 50943, 51229, 51237, 50455, 53342, 63695, 51322, 60596, 50883, 54468, 51054, 52468, 51480, 52321, 58842, 56600, 51527, 51917, 52034, 51664, 51806, 51366, 51215, 51229, 51110, 51039, 75564, 51229, 51283, 51366, 51124, 51917, 50862, 52733, 53098, 52733, 50838, 51664, 50795, 51917, 50873, 55901, 54562, 51349, 50893, 53737, 51218, 52733, 51500, 51664, 51460, 52321, 65109, 51917, 51460, 51366, 51354, 50437, 52474, 51175, 70960, 60032, 58169, 52369, 50441, 51229, 50974, 51366, 50873, 50442, 51917, 50855, 51664, 51128, 52733, 55434, 52733, 51079, 51664, 50974, 51917, 55744, 61722, 51910, 51158, 52047, 51388, 50447, 51229, 51524, 50448, 51366, 50984, 51917, 60258, 53737, 51637, 52733, 51003, 51664, 50914, 51322, 52108, 51135, 57905, 51366, 51203, 51229, 51337, 50455, 51910, 51192, 52047, 65563, 51322, 52189, 59426, 51229, 51709, 50460, 51366, 50912, 51322, 51333, 50799, 52733, 51074, 51664, 51576, 52166, 56868, 51349, 51552, 51366, 51255, 50416, 52124, 51585, 50419, 53737, 51737, 50420, 52733, 55593, 55133, 51229, 51221, 50424, 51366, 51534, 51917, 50987, 51664, 51128, 52733, 54689, 53737, 56563, 52733, 50897, 51664, 50910, 55901, 63248, 51917, 51312, 51664, 66059, 52733, 62050, 51349, 50879, 51664, 51645, 52166, 72090, 51366, 50967, 51229, 51753, 50436, 52733, 52731, 50437, 52474, 51013, 69615, 55757, 51229, 51203, 51366, 51203, 51917, 50840, 51664, 51126, 50442, 52733, 68937, 52733, 51524, 51664, 52692, 52619, 51033, 51917, 53734, 65266, 51282, 51500, 50447, 52733, 71487, 53737, 52518, 50449, 52733, 55437, 69789, 52619, 51014, 51664, 51012, 51917 ]
[ 0, 250, 8787, 5175, 15229, 11, 272, 538, 6, 4246, 10, 21677, 32909, 8, 579, 1517, 20426, 31365, 25999, 1446, 15352, 30054, 2301, 81, 10, 4811, 9, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 5962, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 15073, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4391, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50796, 50799, 63952, 51283, 50415, 52338, 75850, 58053, 51283, 50427, 54012, 79309, 67470, 63936, 53064, 52718, 63952, 77563, 52338, 56350, 58053, 51283, 50445, 54012, 77069, 67470, 70792, 53064, 53581, 63952, 50932, 50457, 52338, 50932, 50799, 56033, 51283, 50415, 52601, 72108, 67470, 70631, 53064, 52688, 63952, 50932, 50427, 52338, 55665, 56033, 51283, 50433, 52601, 64025, 67470, 70381, 53064, 53624, 63952, 51283, 50445, 52338, 77069, 56033, 80245, 52601, 50932, 50799, 63952, 51283, 50415, 52338, 75850, 58053, 51283, 50427, 54012, 79309, 67470, 63936, 53064, 52718, 63952, 77563, 52338, 56350, 58053, 51283, 50445, 54012, 77069, 67470, 70792, 53064, 53581, 63952, 50932, 50457, 52338, 50932, 50799, 56033, 51283, 50415, 52601, 72108, 67470, 70631, 53064, 52688, 63952, 50932, 50427, 52338, 55665, 56033, 51283, 50433, 52601, 64025, 67470, 70381, 53064, 53624, 63952, 51283, 50445, 52338, 77069, 56033, 80245, 52601, 50932, 50799, 50710, 50301, 51283, 50415, 55308, 75850, 58437, 51283, 50427, 53339, 79309, 67470, 63936, 53064, 52718, 50710, 50301, 77563, 55308, 56350, 58437, 51283, 50445, 53339, 77069, 67470, 70792, 53064, 53581, 50710, 50301, 50932, 50457, 55308, 50932, 50799, 57745, 51283, 50415, 51946, 72108, 63952, 70631, 52338, 52688, 50710, 50301, 50932, 50427, 55308, 55665, 57745, 51283, 50433, 51946, 64025, 63952, 70381, 52338, 53624, 50710, 50301, 51283, 50445, 55308, 77069, 57745, 80245, 51946, 50932, 50799, 50710, 50301, 51283, 50415, 55308, 75850, 58437, 51283, 50427, 53339, 79309, 67470, 63936, 53064, 52718, 50710, 50301, 77563, 55308, 56350, 58437, 51283, 50445, 53339, 77069, 67470, 70792, 53064, 53581, 50710, 50301, 50932, 50457, 55308, 50932, 50799, 57745, 51283, 50415, 51946, 72108, 63952, 70631, 52338, 52688, 50710, 50301, 50932, 50427, 55308, 55665, 57745, 51283, 50433, 51946, 64025, 63952, 70381, 52338, 53624, 50710, 50301, 50932, 50445, 55308, 54980, 57745, 70792, 51946, 53581, 63952, 67590, 52338, 50838, 50799, 63952, 51283, 50415, 52338, 75850, 58053, 51283, 50427, 54012, 79309, 67470, 63936, 53064, 52718, 53973, 50932, 63952, 77563, 52338, 56350, 58053, 51283, 50445, 54012, 77069, 56463, 50932, 67470, 70792, 53064, 53581, 63952, 50932, 50457, 52338, 50932, 50799, 56463, 50932, 56033, 51283, 50415, 52601, 72108, 67470, 70631, 53064, 52688, 58599, 50838, 63952, 50932, 50427, 52338, 55665, 56463, 51283, 56033, 51283, 50433, 52601, 64025, 67470, 70381, 53064, 53624, 63952, 50932, 50445, 52338, 54980, 58599, 50932, 56033, 80245, 52601, 56109, 67470, 67590, 53064, 50838, 50799, 63952, 51283, 50415, 52338, 75850, 58053, 51283, 50427, 54012, 79309, 67470, 63936, 53064, 52718, 63952, 77563, 52338, 56350, 58053, 51283, 50445, 54012, 77069, 67470, 70792, 53064, 53581, 63952, 50932, 50457, 52338, 50932, 50799, 56463, 50932, 56033, 51283, 50415, 52601, 72108, 67470, 70631, 53064, 52688, 56463, 50838, 63952, 50932, 50427, 52338, 55665, 56463, 51283, 56033, 51283, 50433, 52601, 64025, 67470, 70381, 53064, 53624, 63952, 50932, 50445, 52338, 54980, 58578, 50838, 56033, 80245, 52601, 56109, 58599, 50932, 67470, 67590, 53064, 50838, 50799, 50710, 50301, 51283, 50415, 55308, 72108, 58599, 54869, 58437, 51283, 50427, 53339, 79309, 58599, 50932, 67470, 63936, 53064, 52718, 50710, 50301, 77563, 55308, 56350, 55635, 50838, 58437, 51283, 50445, 53339, 77069, 56083, 51283, 67470, 70792, 53064, 53581, 50710, 50301, 50932, 50457, 55308, 50932, 50799, 57745, 51283, 50415, 51946, 72108, 63952, 70631, 52338, 52688, 50710, 50301, 50932, 50427, 55308, 55665, 57745, 51283, 50433, 51946, 64025, 63952, 70381, 52338, 53624, 50710, 50301, 51283, 50445, 55308, 77069, 57745, 80245, 51946, 50932, 50799, 50710, 50301, 55916, 55308, 75850, 58437, 51283, 50427, 53339, 79309, 67470, 63936, 53064, 52718, 50710, 50301, 77563, 55308, 56350, 58437, 51283, 50445, 53339, 77069, 67470, 70792, 53064, 53581, 50710, 50301, 50932, 50457, 55308, 50932, 50799, 57745, 51283, 50415, 51946, 72108, 63952, 70631, 52338, 52688, 50710, 50301, 50932, 50427, 55308, 55665, 57745, 51283, 50433, 51946, 64025, 63952, 70381, 52338, 53624, 50710, 50301, 50932, 50445, 55308, 54980, 57745, 70792, 51946, 53581, 63952, 67590, 52338, 50838, 50799, 63952, 51283, 50415, 52338, 75850, 58053, 51283, 50427, 54012, 79309, 53973, 50838, 67470, 63936, 53064, 52718, 56463, 50838, 63952, 77563, 52338, 56350, 56463, 51283, 58053, 51283, 50445, 54012, 77069, 67470, 70792, 53064, 53581, 63952, 50932, 50457, 52338, 50932, 50799, 56463, 50932, 56033, 51283, 50415, 52601, 72108, 67470, 70631, 53064, 52688, 58599, 50838, 63952, 50932, 50427, 52338, 55665, 56463, 50932, 56033, 51283, 50433, 52601, 64025, 67470, 70381, 53064, 53624, 58578, 50932, 63952, 50932, 50445, 52338, 54980, 56033, 80245, 52601, 56109, 67470, 67590, 53064, 50838, 50799, 63952, 51283, 50415, 52338, 75850, 58053, 51283, 50427, 54012, 79309, 67470, 63936, 53064, 52718, 63952, 77563, 52338, 56350, 58053, 51283, 50445, 54012, 77069, 53973, 50838, 67470, 70792, 53064, 53581, 53973, 50838, 63952, 50932, 50457, 52338, 50932, 50799, 56463, 50932, 56033, 51283, 50415, 52601, 72108, 67470, 70631, 53064, 52688, 56463, 50838, 63952, 50932, 50427, 52338, 55665, 56463, 51283, 56033, 51283, 50433, 52601, 64025, 67470, 70381, 53064, 53624, 63952, 50932, 50445, 52338, 54980, 58578, 50932, 56033, 80245, 52601, 56109, 67470, 67590, 53064, 50838, 50799, 58599, 50838, 50710, 50301, 51283, 50415, 55308, 72108, 58599, 75850, 58437, 51283, 50427, 53339, 79309, 67470, 63936, 53064, 52718, 50710, 50301, 77563, 55308, 56350, 55635, 50838, 58437, 51283, 50445, 53339, 77069, 57920, 50838, 67470, 70792, 53064, 53581, 55635, 50838, 50710, 50301, 50932, 50457, 55308, 50932, 50799, 57745, 51283, 50415, 51946, 72108, 63952, 70631, 52338, 52688, 50710, 50301, 50932, 50427, 55308, 55665, 57745, 51283, 50433, 51946, 64025, 63952, 70381, 52338, 53624, 50710, 50301, 51283, 50445, 55308, 77069, 57745, 80245, 51946, 50932, 50799, 50710, 50301, 51283, 50415, 55308, 75850, 58437, 51283, 50427, 53339, 79309, 67470, 63936, 53064, 52718, 50710, 50301, 77563, 55308, 56350, 58437, 51283, 50445, 53339, 77069, 67470, 70792, 53064, 53581, 50710, 50301, 50932, 50457, 55308, 50932, 50799, 57745, 51283, 50415, 51946, 72108, 67470, 70631, 53064, 52688, 50710, 50301, 50932, 50427, 55308, 55665, 57745, 51283, 50433, 51946, 64025, 67470, 70381, 53064, 53624, 50710, 50301, 50932, 50445, 55308, 54980, 57745, 70792, 51946, 53581, 67470, 67590, 53064, 50838, 50799, 50710, 50297, 51283, 50415, 56708, 75850, 56281, 51283, 50427, 52196, 79309, 56083, 50838, 63952, 63936, 52338, 52718, 58578, 50932, 50710, 50297, 77563, 56708, 56350, 56281, 51283, 50445, 52196, 77069, 58578, 50932, 63952, 70792, 52338, 53581, 50710, 50297, 50932, 50457, 56708, 50932, 50799, 58578, 50838, 57745, 51283, 50415, 51946, 72108, 56463, 50838, 63952, 70631, 52338, 52688, 56463, 50838, 50710, 50297, 50932, 50427, 56708, 55665, 58578, 51283, 57745, 51283, 50433, 51946, 64025, 63952, 70381, 52338, 53624, 50710, 50297, 50932, 50445, 56708, 54980, 61641, 50838, 57745, 80245, 51946, 56109, 58578, 51283, 63952, 67590, 52338, 50838, 50799, 50710, 50297, 51283, 50415, 56708, 75850, 56281, 51283, 50427, 52196, 79309, 63952, 63936 ]
[ 0, 4688, 9066, 5175, 19834, 6, 30291, 19, 10, 1472, 9, 814, 8, 15073, 6, 30853, 11, 41, 22438, 262, 73, 398, 86, 6543, 23, 10, 21786, 154, 27841, 139, 20889, 4, 20, 1428, 1370, 639, 5, 15229, 16, 10, 16139, 11739, 9, 21072, 8, 81, 9756, 8669, 6, 15760, 14133, 30, 7152, 4785, 101, 21715, 6, 25637, 1634, 6, 8, 5, 364, 38537, 23225, 9, 5, 840, 1113, 4, 29860, 3995, 11, 5, 762, 9, 272, 538, 6, 5, 2125, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 8, 230, 119, 1176, 406, 6, 6946, 24, 10, 1472, 9, 15352, 30054, 21420, 24018, 5, 239, 12, 18261, 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 ]
[ 50799, 50643, 50762, 50320, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 52285, 50915, 61263, 51003, 55301, 58109, 50932, 51383, 50838, 52834, 52910, 50762, 50320, 50845, 51263, 50838, 51347, 50838, 51404, 50838, 52285, 50845, 55301, 54397, 50838, 51236, 50838, 52834, 51736, 50762, 50320, 50915, 51874, 50807, 51498, 50838, 51347, 50838, 51404, 50838, 52285, 50915, 52820, 50932, 55301, 50918, 50832, 50932, 51383, 50838, 52834, 53218, 71466, 50915, 52020, 50807, 51498, 50838, 51200, 50838, 51347, 50838, 51802, 50915, 61263, 68359, 50932, 51236, 50838, 52834, 53312, 72012, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51950, 50915, 52820, 51003, 55301, 58109, 50838, 51236, 50838, 52834, 50807, 61332, 54177, 72012, 50845, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51950, 50845, 55301, 54397, 50838, 51383, 50838, 52834, 51631, 71466, 50915, 51347, 50838, 69408, 51323, 50838, 51802, 50915, 61263, 50932, 55301, 50918, 50832, 50932, 51236, 50838, 52834, 52424, 50762, 50320, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 52285, 50915, 52820, 68359, 50932, 51383, 50838, 52834, 52728, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50915, 52820, 51003, 52993, 58109, 50932, 51383, 50838, 52834, 53312, 51263, 50838, 51499, 50838, 51188, 50838, 50799, 66541, 50845, 73667, 52484, 50838, 51409, 50838, 51263, 50838, 51900, 50845, 52993, 54397, 50838, 51236, 50838, 52834, 52115, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50915, 61263, 50932, 52993, 50918, 50832, 50932, 51236, 50838, 52834, 53182, 71466, 50845, 52020, 50807, 51498, 50838, 51200, 50838, 51347, 50838, 51802, 50845, 52820, 68359, 50932, 51383, 50838, 52834, 52424, 50762, 50320, 50845, 52285, 53999, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50915, 52820, 51003, 52993, 73133, 50932, 51236, 50838, 52834, 53312, 66541, 50845, 73667, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 58266, 50838, 51383, 50838, 52834, 50795, 50799, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50915, 61263, 50932, 52993, 50918, 50832, 50932, 51236, 50838, 52834, 52115, 52834, 51631, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50915, 52820, 68359, 50932, 51383, 50838, 52834, 51736, 52834, 51646, 66965, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51784, 50915, 61263, 51003, 55301, 73133, 50838, 51236, 50838, 52834, 53218, 50832, 50838, 51383, 52985, 66965, 50845, 73667, 51784, 58266, 50838, 51236, 50838, 52834, 51923, 66541, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51900, 50915, 52820, 50932, 55301, 50918, 50832, 50932, 51383, 50838, 52834, 50807, 52591, 50762, 50320, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 52285, 50915, 61263, 68359, 50932, 51236, 50838, 52834, 53182, 71466, 50915, 51874, 50807, 51767, 50838, 51498, 50838, 51200, 50838, 69408, 51802, 50915, 61263, 51003, 52584, 73133, 50932, 51383, 50838, 52834, 53218, 71466, 50845, 51802, 58266, 50838, 51236, 50838, 52834, 51798, 50762, 50320, 50915, 51874, 50807, 51767, 50838, 51498, 50838, 51200, 50838, 51323, 50838, 52285, 50915, 61263, 50932, 52584, 50918, 50832, 50838, 51383, 50838, 52834, 53312, 50832, 50838, 50799, 71466, 50915, 51874, 50807, 51767, 50838, 51498, 50838, 51200, 50838, 51802, 50915, 61263, 68359, 50932, 51236, 50838, 52834, 52910, 72012, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51950, 50915, 52820, 50889, 52993, 73133, 50838, 51383, 50838, 52834, 53182, 50832, 50838, 51236, 52718, 71466, 50845, 51409, 50838, 51263, 50838, 51499, 50838, 51245, 50838, 51802, 58266, 50838, 51383, 50838, 52834, 51918, 50762, 50320, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 52285, 50915, 52820, 50932, 52993, 50918, 50832, 50932, 51236, 50838, 52834, 53312, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51245, 50838, 51900, 50915, 52820, 68359, 50932, 51383, 50838, 52834, 50807, 52591, 50762, 50320, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51245, 50838, 52285, 50915, 61263, 50981, 55301, 73133, 50932, 51236, 50838, 52834, 53182, 66541, 50845, 73667, 51263, 50838, 51347, 50838, 51404, 50838, 51900, 58266, 50838, 51383, 50838, 52834, 51646, 66965, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51245, 50838, 51784, 50915, 61263, 50889, 55301, 58109, 50932, 51236, 50838, 52834, 51918, 52834, 51798, 66541, 50915, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51188, 50838, 51900, 50915, 52820, 51016, 52993, 58109, 50838, 51383, 50838, 52834, 51923, 50832, 50838, 51170, 50838, 52834, 50795, 50799, 50762, 50320, 50845, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 52285, 50845, 61263, 51003, 55301, 58109, 50932, 51383, 50838, 52834, 53561, 50762, 50320, 50845, 52285, 53172, 50762, 50320, 50845, 51263, 50838, 51347, 50838, 51404, 50838, 52285, 50845, 55301, 54397, 50838, 51236, 50838, 52834, 51736, 50762, 50320, 50845, 51874, 50807, 51498, 50838, 51347, 50838, 51404, 50838, 52285, 50845, 52820, 50932, 55301, 50918, 50832, 50932, 51383, 50838, 52834, 53218, 71466, 50915, 52020, 50807, 51498, 50838, 51200, 50838, 51347, 50838, 51802, 50915, 61263, 68359, 50932, 51236, 50838, 52834, 53312, 72012, 50845, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51950, 50845, 52820, 51003, 55301, 58109, 50838, 51236, 50838, 52834, 50807, 61332, 54177, 72012, 50845, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51950, 50845, 55301, 54397, 50838, 51383, 50838, 52834, 51631, 71466, 50915, 51347, 50838, 69408, 51323, 50838, 51802, 50915, 61263, 50932, 55301, 50918, 50832, 50932, 51236, 50838, 52834, 52424, 50762, 50320, 50915, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 52285, 50915, 52820, 68359, 50932, 51383, 50838, 52834, 52728, 66541, 50845, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50845, 52820, 51003, 52993, 58109, 50932, 51383, 50838, 52834, 53312, 51263, 50838, 51499, 50838, 51188, 50838, 50799, 66541, 50845, 73667, 52484, 50838, 51409, 50838, 51263, 50838, 51900, 50845, 52993, 54397, 50838, 51236, 50838, 52834, 52115, 66541, 50845, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50845, 61263, 50932, 52993, 50918, 50832, 50932, 51236, 50838, 52834, 53182, 71466, 50845, 52020, 50807, 51498, 50838, 51200, 50838, 51347, 50838, 51802, 50845, 52820, 68359, 50932, 51383, 50838, 52834, 52424, 50762, 50320, 50845, 52285, 53999, 66541, 50845, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50845, 52820, 51003, 52993, 73133, 50932, 51236, 50838, 52834, 53312, 66541, 50845, 73667, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 58266, 50838, 51383, 50838, 52834, 50795, 50799, 66541, 50845, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50845, 61263, 50932, 52993, 50918, 50832, 50932, 51236, 50838, 52834, 52115, 52834, 51631, 66541, 50845, 52020, 50807, 51409, 50838, 51263, 50838, 51499, 50838, 51900, 50845, 52820, 68359, 50932, 51383, 50838, 52834, 51736, 52834, 51646, 66965, 50845, 52042, 77536, 50838, 51347, 50838, 51404, 50838, 51784, 50845, 61263, 51003, 55301, 73133, 50838 ]
[ 0, 250, 765, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 33704, 5675, 22052, 6, 21979, 8669, 6, 8, 23338, 33518, 1264, 4, 20, 2125, 16, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 85, 7630, 6568, 10, 19448, 8, 15352, 30054, 5466, 6, 10686, 13, 10, 822, 19834, 6, 19, 41, 3722, 26438, 1264, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51086, 52727, 50956, 53126, 50310, 52727, 50965, 51328, 51561, 52011, 51494, 52727, 51512, 51328, 51602, 51359, 53037, 51477, 59679, 55275, 57734, 55275, 59522, 55275, 52402, 55275, 52255, 55275, 52187, 55275, 51522, 51359, 61683, 51328, 51847, 51328, 59403, 51328, 56040, 51328, 51561, 51328, 55458, 75925, 50973, 51097, 51429, 51328, 59403, 51097, 52721, 61112, 50906, 51477, 51308, 51328, 55458, 50974, 52280, 59124, 53037, 51328, 57346, 52727, 50871, 52727, 50965, 52011, 51847, 52727, 51144, 52727, 51512, 52011, 52458, 51359, 52861, 51328, 53037, 50974, 63910, 55275, 57302, 55275, 57734, 55275, 53100, 55275, 51743, 55275, 52255, 55275, 51868, 74258, 51028, 51328, 51777, 51328, 53037, 50974, 52840, 56307, 50965, 51244, 51512, 51244, 52861, 51939, 53037, 51939, 57542, 52727, 50956, 53126, 50310, 55490, 50965, 51328, 51561, 52011, 51494, 55490, 51512, 51328, 51602, 51359, 53037, 51477, 59679, 55275, 57734, 55275, 59522, 55275, 52402, 55275, 52255, 55275, 52187, 55275, 51522, 51359, 61683, 51328, 51847, 51328, 59403, 51328, 56040, 51328, 51561, 51328, 55458, 75925, 50973, 51097, 51429, 51328, 52721, 61112, 50906, 51097, 51308, 51328, 52280, 51477, 50450, 53037, 62214, 50965, 51008, 51512, 66668, 50989, 51008, 51494, 51008, 57346, 52727, 50871, 52727, 50965, 52727, 51847, 52727, 51144, 52727, 51512, 52727, 52458, 51359, 52861, 51445, 53037, 51445, 63910, 55275, 57302, 55275, 57734, 55275, 53100, 55275, 51743, 55275, 52255, 55275, 51868, 51359, 56178, 52212, 50989, 52212, 50965, 52212, 50906, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 51533, 51518, 50979, 50823, 51560, 51518, 50420, 50979, 53537, 50979, 54179, 50979, 53925, 50956, 52212, 50989, 52212, 50965, 52212, 50906, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 50979, 54145, 51533, 50943, 51017, 50823, 51560, 58705, 50979, 50823, 54578, 52212, 50965, 52212, 50876, 52212, 51144, 52212, 51512, 52212, 51153, 52212, 51132, 51518, 50872, 50823, 51140, 51518, 50420, 50872, 51029, 57019, 52212, 50965, 52212, 50876, 52212, 51144, 52212, 51512, 52212, 51153, 52212, 50444, 50979, 53798, 51132, 50943, 50872, 50823, 51140, 58705, 50992, 50823, 57126, 52212, 50965, 52212, 50906, 52212, 51028, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 51777, 52212, 51640, 51518, 50992, 50823, 51705, 51518, 50417, 50939, 62819, 50992, 54179, 50992, 61546, 50989, 52212, 50965, 52212, 50906, 52212, 51028, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 51777, 52212, 50450, 51640, 50943, 50944, 50823, 51705, 58705, 50992, 51407, 57190, 52212, 50973, 52212, 51028, 52212, 51512, 52212, 51429, 52212, 51777, 52212, 51602, 51518, 51522, 51518, 50438, 50965, 52212, 50973, 52212, 51001, 52212, 51512, 52212, 51429, 52212, 51639, 52212, 50450, 51602, 50943, 50992, 50823, 51522, 58705, 50939, 50823, 57844, 52212, 51001, 52212, 51114, 52212, 51429, 52212, 51639, 52212, 52070, 52212, 51910, 52250, 64191, 51668, 52250, 50426, 50939, 52030, 50992, 60920, 50973, 52212, 51001, 52212, 51114, 52212, 51429, 52212, 51639, 52212, 52070, 52212, 50450, 50944, 54178, 50992, 50824, 57844, 52212, 51028, 52212, 50931, 52212, 51147, 52212, 51081, 52212, 51429, 52212, 51777, 52212, 51435, 52212, 52381, 52212, 51948, 52212, 50420, 50939, 53566, 51017, 61147, 50973, 52212, 51028, 52212, 50931, 52212, 51147, 52212, 51429, 52212, 51777, 52212, 51435, 52212, 52381, 52212, 50450, 51037, 58954, 51017, 51407, 54578, 52212, 50965, 52212, 50906, 52212, 51028, 52212, 50931, 52212, 51144, 52212, 51512, 52212, 51308, 52212, 51777, 52212, 51435, 52212, 51526, 51518, 51261, 51518, 57019, 52212, 50965, 52212, 50906, 52212, 51028, 52212, 51144, 52212, 51512, 52212, 51308, 52212, 51777, 52212, 50444, 50992, 63758, 51526, 51056, 51261, 77304, 50944, 51407, 55435, 52212, 50956, 52212, 50989, 52212, 50906, 52212, 51706, 52212, 51561, 52212, 51494, 52212, 51308, 52212, 51533, 51359, 51560, 51359, 50438, 51040, 52212, 50956, 52212, 50989, 52212, 50906, 52212, 51847, 52212, 51561, 52212, 51494, 52212, 51308, 52212, 50450, 50992, 54178, 50939, 50823, 56178, 52212, 50989, 52212, 50965, 52212, 50973, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51429, 52212, 51602, 53380, 50935, 50823, 51522, 53380, 50420, 50935, 53537, 50992, 51300, 64574, 52212, 50989, 52212, 50965, 52212, 50973, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51429, 52212, 50450, 50979, 54178, 50944, 50823, 56178, 52212, 50989, 52212, 50965, 52212, 50973, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51429, 52212, 50944, 55573, 50944, 59101, 52585, 51518, 51930, 51518, 50432, 50979, 52125, 50956, 52212, 50989, 52212, 50965, 52212, 50973, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51429, 52212, 50444, 51042, 52175, 50979, 52325, 51017, 51352, 57346, 52212, 50871, 52212, 50965, 52212, 51847, 52212, 51144, 52212, 51512, 52212, 52458, 55068, 51868, 55068, 50438, 51040, 52212, 50871, 52212, 50965, 52212, 51847, 52212, 51144, 52212, 51512, 52212, 57346, 52212, 50871, 52212, 50965, 52212, 51847, 52212, 51144, 52212, 51512, 52212, 50438, 51040, 52212, 50871, 52212, 50965, 52212, 51847, 52212, 51144, 52212, 51512, 52212, 50450, 51957, 50943, 52318, 58705, 51017, 50976, 56178, 52212, 50989, 52212, 50965, 52212, 50906, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 51533, 51518, 55458, 50845, 54598, 50845, 52280, 50845, 59679, 52212, 62514, 52212, 57734, 52212, 52402, 52212, 52332, 52212, 52255, 52212, 50979, 50823, 51560, 51518, 50420, 50979, 53537, 50979, 54179, 50979, 53925, 50956, 52212, 50989, 52212, 50965, 52212, 50906, 52212, 51561, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 55458, 50845, 54598, 50845, 52280, 50845, 59679, 52212, 57734, 52212, 56482, 52212, 52402, 52212, 52255, 52212, 51863, 52212, 50979, 54145, 51533, 50943, 51017, 50823, 51560, 58705, 50979, 50823, 54578, 52212, 50965, 52212, 50876, 52212, 51144, 52212, 51512, 52212, 51153, 52212, 51132, 51518, 52861, 50845, 53037, 50845, 51756, 50845, 57302, 52727, 57734, 52727, 55045, 52727, 51743, 52727, 52255, 52727, 51711, 52727, 50872, 50823, 51140, 51518, 50420, 50872, 51029, 57019, 52212, 50965, 52212, 50876, 52212, 51144, 52212, 51512, 52212, 51153, 52212, 52861, 50845, 53037, 50845, 51756, 53562, 51132, 50943, 50872, 50823, 51140, 58705, 50992, 50823, 57126, 52212, 50965, 52212, 50906, 52212, 51028, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 51777, 52212, 51640, 51518, 54598, 50845, 52280, 50845, 52840, 50845, 62514, 52727, 56482, 52727, 59841, 52727, 52332, 52727, 51863, 52727, 52414, 52727, 50939, 50823, 51705, 51518, 50420, 50992, 53537, 50992, 54179, 50992, 53925, 50989, 52212, 50965, 52212, 50906, 52212, 51028, 52212, 51494, 52212, 51512, 52212, 51308, 52212, 51777, 52212, 54598, 50845, 52280, 50845, 52840, 58687, 55380, 50944, 53798, 51640, 50943, 51705, 58705, 50992, 51407, 57190, 52212, 50973, 52212, 51028, 52212, 51512, 52212, 51429, 52212, 51777, 52212, 51602, 51518, 53037, 50845, 51756, 50845, 52840, 50845, 62514, 52727, 59522, 52727, 59377, 52727, 52332, 52727, 52187, 52727, 52340, 52727, 51522, 51518, 50438, 50965, 52212, 50973, 52212, 51001, 52212, 51512, 52212, 51429, 52212, 51639, 52212, 53037, 50845, 51756, 50845, 52527, 53562, 51602 ]
[ 0, 250, 15352, 30054, 8, 20425, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 816, 11, 83, 3694, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 2351, 10, 20902, 8, 17627, 17274, 5466, 4, 20, 33215, 16739, 25935, 1626, 227, 381, 8, 1918, 6, 8216, 7, 5, 2214, 18, 1374, 1372, 8, 19448, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 76496, 56569, 73762, 58479, 59636, 50931, 54611, 50902, 50901, 53337, 59782, 60268, 51003, 50429, 50999, 52658, 50931, 54112, 50902, 54181, 51081, 58935, 50951, 54746, 50902, 53562, 50899, 58657, 64292, 51003, 50453, 51081, 54424, 50951, 57651, 59856, 56807, 59636, 50968, 54351, 51028, 50892, 53337, 60817, 58657, 70583, 50951, 52658, 50968, 54112, 51028, 52729, 50999, 58935, 50931, 53103, 50902, 53562, 50899, 59782, 60598, 51003, 50453, 50968, 54194, 50931, 56569, 65111, 58479, 57368, 50931, 54611, 50902, 50901, 53337, 59782, 60598, 70583, 50999, 53911, 50931, 54112, 50902, 54181, 51081, 58935, 50951, 54746, 50902, 53562, 50899, 58657, 64292, 65421, 51081, 53920, 50951, 56054, 64062, 56807, 54275, 50968, 54611, 51028, 50849, 53337, 64291, 63925, 51003, 76133, 52749, 50968, 54125, 51028, 52841, 50999, 56358, 50931, 54207, 50899, 57449, 57669, 59353, 53794, 50899, 63925, 62542, 79075, 50951, 53920, 50968, 53848, 74247, 58479, 59176, 50931, 52734, 50899, 57449, 57669, 60358, 52483, 50899, 63925, 60597, 63455, 50951, 52559, 50968, 53263, 51028, 52841, 50999, 54134, 50931, 52597, 50899, 50805, 55179, 50877, 55673, 51798, 50899, 57631, 56793, 73559, 50951, 52955, 50968, 53848, 63417, 58479, 58481, 50931, 52871, 50902, 54080, 50877, 50859, 53645, 53847, 50899, 52559, 51027, 52262, 51050, 51724, 51799, 73470, 51798, 51027, 70866, 50807, 54197, 51274, 50899, 51343, 50877, 51274, 50902, 51343, 74769, 63254, 56036, 67734, 55122, 50899, 68669, 52530, 50318, 52297, 50321, 58833, 50916, 66677, 59900, 52297, 50323, 50807, 54578, 60599, 71064, 52530, 50325, 51016, 56207, 51336, 50876, 51356, 50999, 51196, 51062, 51356, 56222, 50991, 50906, 51238, 50951, 51238, 51081, 51116, 50459, 50871, 50800, 57579, 75032, 58276, 54578, 60599, 71064, 51958, 50325, 53765, 50916, 51238, 50861, 51238, 50968, 50991, 50951, 70900, 50899, 57722, 50859, 57213, 50931, 51724, 50899, 74340, 52530, 50318, 52297, 50321, 51016, 56415, 50991, 50877, 50991, 50906, 50991, 50931, 51238, 50999, 51238, 51026, 76679, 50916, 50808, 62198, 61097, 69084, 54206, 51356, 50871, 51196, 50902, 51196, 50931, 51336, 51027, 51685, 50877, 51977, 50438, 51040, 71063, 63681, 75672, 55149, 51027, 57631, 70866, 50807, 54868, 51496, 51050, 51274, 50899, 51496, 50871, 51496, 50877, 51274, 50902, 51496, 74769, 57341, 58696, 67734, 52446, 50899, 68669, 52530, 50318, 52297, 50321, 58833, 50916, 66677, 52297, 50320, 52297, 50323, 51013, 54578, 74694, 71064, 52530, 50325, 53765, 51027, 65481, 51196, 50876, 51356, 50999, 51336, 51062, 51196, 71288, 55122, 50900, 51933, 56222, 50991, 50906, 51116, 74174, 51081, 75997, 50871, 69222, 50859, 57061, 50999, 50859, 54578, 70866, 72117, 51958, 50325, 51016, 56248, 51238, 70176, 50968, 51238, 50951, 51238, 50900, 51013, 50435, 50899, 66355, 50800, 57213, 50931, 54773, 50899, 68669, 73988, 52297, 50321, 59731, 71923, 50968, 51235, 51027, 79230, 52530, 50308, 76679, 50906, 61806, 50859, 54206, 50921, 50906, 50940, 50902, 50921, 50997, 51090, 61683, 50952, 50916, 50952, 51028, 50940, 50968, 50940, 57025, 72368, 50940, 50871, 50952, 70427, 50931, 59099, 51026, 50830, 50916, 50940, 50861, 50952, 50968, 50952, 50951, 59826, 51050, 50940, 50871, 50940, 50877, 50940, 50931, 50921, 50999, 61897, 51026, 50940, 50916, 50940, 50861, 50952, 50968, 50940, 50951, 58631, 51027, 50940, 50899, 50940, 50871, 50952, 65624, 50931, 70143, 51027, 50858, 68134, 70796, 79945, 56310, 51356, 50916, 51356, 50877, 51551, 50968, 51551, 66240, 75677, 74340, 52530, 50318, 61510, 51028, 57651, 67666, 57289, 57368, 51028, 53066, 50877, 55035, 51027, 51807, 50305, 68184, 70583, 50968, 52658, 51028, 55167, 50877, 54181, 50931, 62079, 50902, 54746, 50877, 53562, 51027, 64763, 59782, 65421, 50931, 52863, 50902, 54678, 61233, 55331, 57368, 50973, 54611, 50965, 55035, 51027, 51619, 50303, 61861, 51003, 78740, 53911, 50973, 54112, 50965, 52729, 50968, 56532, 51028, 53783, 50877, 55125, 51027, 51619, 50305, 65480, 51003, 50453, 50973, 54424, 51028, 54678, 59856, 57289, 57368, 51028, 53066, 50877, 53172, 51027, 64291, 58532, 51003, 50429, 50968, 53911, 51028, 55098, 50877, 53415, 50931, 56358, 50902, 54746, 50877, 54230, 51027, 62649, 60241, 79075, 50931, 53920, 50902, 54421, 59755, 55331, 53504, 50973, 52871, 50965, 52483, 51027, 50807, 51086, 64815, 59428, 57102, 50902, 52559, 50973, 53263, 50965, 52841, 50968, 52831, 51028, 51820, 50877, 51798, 51027, 75319, 57341, 52961, 51027, 56036, 50879, 57346, 51343, 50916, 51343, 50877, 51343, 50968, 51343, 58296, 57874, 55673, 65614, 51646, 50916, 55890, 63057, 52530, 50323, 51013, 56279, 57055, 56831, 52297, 50321, 50889, 55694, 72454, 51442, 50326, 59408, 51173, 50423, 50871, 60191, 74054, 72501, 53548, 50916, 51336, 50861, 51356, 51028, 51196, 50951, 51336, 56222, 70606, 52530, 50317, 52530, 50326, 51013, 54578, 53177, 50313, 53531, 50318, 51958, 50325, 51090, 53337, 64110, 60599, 72117, 59306, 51040, 75209, 53177, 50313, 77079, 54526, 50899, 51160, 50902, 51235, 51086, 68669, 74129, 51016, 50459, 50916, 50821, 70433, 54206, 51196, 50871, 51551, 50965, 51551, 50902, 51551, 51027, 52369, 50438, 51040, 75209, 60599, 52530, 50317, 54526, 51027, 70866, 51016, 57346, 51496, 50916, 51274, 50877, 51274, 50968, 51552, 58296, 64674, 68550, 72945, 54993, 50916, 67957, 52530, 50317, 76110, 54526, 50861, 72341, 52530, 50317, 52530, 50326, 51016, 54578, 57442, 65332, 75137, 51388, 50423, 50916, 61473, 76114, 71560, 50890, 53337, 51196, 50871, 51336, 50902, 51356, 50931, 51356, 50450, 51120, 51608, 50303, 57543, 59351, 52297, 50325, 51013, 57551, 74198, 67957, 52530, 50320, 52530, 50323, 53765, 51050, 68669, 70866, 73988, 52297, 50321, 53912, 51026, 70660, 67957, 69797, 52297, 50320, 51016, 56279, 51238, 50871, 51238, 50861, 51238, 50973, 76343, 51116, 51026, 51013, 50459, 50916, 50859, 61097, 54955, 51356, 50899, 51356, 50871, 51356, 50861, 51356, 50973, 51356, 50902, 51356, 62275, 60339, 60998, 66677, 69797, 59731, 50997, 60339, 58835, 51013, 54852, 51496, 50876, 51552, 50999, 51552, 51062, 51274, 51027, 52266, 58319, 56730, 57022, 51442, 50326, 55122, 50871, 70866, 59351, 52297, 50325, 58833, 51026, 66677, 56793, 52297, 50323, 74018, 51013, 54578, 74694, 71064, 52297, 50325, 74198, 51896, 56248, 50991, 70135, 50968, 50991, 50951, 51238, 50435, 50899, 57722, 50800, 57213, 50931, 51724, 50916, 67957, 52530, 50320, 52297, 50323, 61726, 50997, 51798, 51027, 58035, 72341, 55695, 53312, 61795, 54578, 51343, 50877, 51274, 50931, 51343, 50999, 51343, 51050, 51585, 64185, 50830, 50861, 50952, 61827, 50951, 53402, 50899, 50940, 50871, 50952, 65624, 50931, 60835, 65927, 66088, 50968, 50952, 71049, 56415, 50830, 59836, 73057, 50999, 50952, 51315, 63505, 50916, 50952, 58537, 61827, 50951, 50952, 54206, 64110, 52530, 50318, 72117, 51958, 50301, 51196, 61104, 51116, 50916, 50991, 51028, 51238, 50968, 51238, 50435, 51086, 61441, 50859, 61783, 50902, 51724, 51027, 75962, 52530, 50308, 52297, 50317, 52530, 50320, 55451, 51026, 58631, 51050, 50830, 51027, 67957, 57543, 63505, 51315, 50940, 54868, 51274, 51050, 51343, 50899, 51343, 50871, 51274, 50877, 51343, 50902, 72107, 51027, 57341, 56036, 67734, 55122, 50899, 74340, 52530, 50318, 72117, 58833, 50916, 66677, 52297, 50320, 61241 ]
[ 0, 713, 20425, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 10, 2247, 11739, 9, 30587, 8, 81, 9756, 29589, 6, 13305, 6, 8, 1076, 560, 31365, 25999, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 83, 6, 381, 6, 163, 6, 83, 6, 8, 381, 6, 8216, 7, 63, 17627, 17274, 8, 10132, 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 ]
[ 56236, 50796, 64614, 50811, 57471, 50811, 51382, 60370, 50804, 50811, 52198, 50803, 50799, 52331, 50894, 51726, 73233, 50823, 51040, 51998, 50916, 50823, 51844, 52466, 53025, 55267, 51407, 50422, 51404, 50911, 51323, 50924, 52331, 50962, 51726, 50359, 50826, 50301, 50894, 51040, 52717, 50308, 50894, 51844, 52968, 52331, 50894, 51990, 50359, 50842, 50310, 50359, 50842, 50301, 51045, 51040, 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, 50308, 52717, 50305, 50930, 51844, 52768, 52331, 51014, 51990, 50359, 50842, 50301, 51045, 51040, 74139, 50310, 50802, 51844, 52865, 54972, 56575, 52331, 50890, 51726, 52717, 50305, 52717, 50308, 52717, 50301, 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, 51040, 52640, 50308, 52717, 50301, 50962, 51844, 52968, 52331, 51014, 51990, 50360, 50842, 50301, 51045, 50989, 50860, 51844, 52865, 54972, 56861, 52331, 50890, 51726, 52717, 50305, 52717, 50308, 52717, 50301, 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, 50305, 52640, 50308, 52236, 50301, 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, 50305, 52640, 50308, 79983, 50930, 51844, 52968, 52331, 50894, 51990, 56373, 51027, 50950, 51040, 58576, 50989, 50860, 51844, 53451, 54972, 56861, 52331, 50880, 51726, 52236, 50305, 52640, 50308, 79983, 50880, 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, 50308, 52640, 50305, 50880, 51844, 52768, 52331, 50823, 51990, 50359, 50842, 50301, 50894, 51040, 74139, 50310, 57826, 51844, 51779, 53025, 56575, 52331, 50880, 51726, 79983, 50858, 51040, 68549, 50930, 51844, 50811, 50799, 52331, 50894, 51726, 53106, 51027, 51014, 51040, 58891, 53106, 51844, 51520, 54328, 58026, 51404, 50911, 51323, 50879, 52331, 50962, 51726, 52717, 50305, 52717, 50308, 50894, 51027, 50930, 51844, 52968, 52331, 51014, 51990, 58576, 51027, 50940, 50989, 50823, 51844, 52865, 52001, 56861, 51726, 50930, 52331, 79983, 51514, 50305, 50942, 70489, 51844, 52057, 51404, 51362, 51323, 51091, 52331, 50882, 51726, 50950, 50968, 72501, 50809, 51844, 52466, 54328, 60295, 50968, 75676, 68787, 52331, 50962, 51726, 50811, 50999, 52640, 50320, 50949, 51844, 52279, 52768, 52331, 50894, 51990, 75306, 50325, 50811, 50968, 52611, 51844, 52865, 59154, 50968, 50359, 50826, 50325, 58150, 52331, 50930, 51726, 50894, 52376, 50823, 50999, 50359, 50826, 50320, 53379, 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, 50305, 52717, 50308, 52717, 50301, 50930, 51844, 54381, 51667, 52038, 52331, 50882, 51990, 58961, 51040, 53819, 50308, 53819, 50310, 50360, 50842, 50301, 50962, 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, 51027, 50894, 51040, 76073, 50930, 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, 50305, 52640, 50308, 52717, 50301, 50930, 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, 50823, 51040, 76073, 50894, 51027, 50882, 51844, 52466, 54328, 58026, 51404, 50924, 51323, 50865, 52331, 50880, 51726, 50880, 51667, 50811, 51040, 52640, 50308, 52717, 50301, 50930, 51844, 51973, 52331, 51033, 51990, 57826, 51667, 77188, 50950, 51040, 53106, 50989, 50823, 51844, 52865, 54972, 56861, 52331, 50890, 51726, 50880, 51667, 73233, 52717, 50305, 50949, 50916, 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, 50305, 52717, 50308, 52717, 50301, 50930, 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, 50823, 51040, 76073, 50894, 51027, 50882, 51844, 52466, 52001, 58026, 51404, 51192, 51323, 51060, 51726, 50930, 52331, 50962, 51667, 50811, 51027, 76200, 52640, 50305, 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, 50305, 76200, 50882, 51027, 50890, 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, 80197, 61539, 52640, 50306, 51010, 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, 50993, 50899, 79619, 61539, 50894, 51181, 52466, 54972, 57915, 51482, 70341, 52717, 50306, 80197, 53819, 50313, 50962, 51181, 52768, 51482, 51014, 51545, 50976, 52376, 72114, 51045, 50989, 64313, 51998, 51181, 52865, 54972, 58150, 51482 ]
[ 0, 713, 5175, 19834, 2214, 6, 278, 11, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 4694, 556, 23, 10, 182, 1769, 20889, 9, 28222, 163, 5683, 4, 20, 13602, 6757, 1239, 5, 483, 6, 7513, 30, 5, 2247, 4428, 9, 15679, 642, 1543, 6, 21072, 6, 8, 326, 5638, 18026, 6, 2351, 41, 5466, 14, 16, 23, 683, 2933, 6, 9066, 6, 8, 25306, 4, 20, 33215, 16739, 9, 230, 6, 272, 12361, 6, 274, 406, 6, 274, 73, 250, 6, 8, 230, 401, 3639, 5581, 7, 42, 13363, 28191, 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 ]
[ 65919, 51034, 50638, 57533, 51400, 50425, 55561, 57629, 59410, 50942, 50437, 59410, 50942, 55561, 50942, 51034, 57533, 51003, 50415, 52324, 67297, 59410, 50942, 55561, 50977, 50437, 55561, 50942, 59410, 50977, 51034, 57533, 51267, 50415, 61263, 51623, 50426, 55561, 50942, 59410, 50977, 50437, 55561, 58927, 59410, 50977, 50449, 57533, 51003, 52324, 51446, 51018, 50425, 59410, 50942, 55561, 50942, 50437, 59410, 50942, 55561, 50942, 50449, 54096, 51692, 52324, 51446, 51034, 53648, 50942, 57533, 51003, 50424, 59410, 50942, 55561, 50942, 50436, 59410, 50942, 50437, 55561, 50942, 61263, 51346, 50448, 52898, 52069, 50449, 57533, 51400, 52324, 51141, 51018, 50424, 59410, 50854, 55561, 63443, 59410, 58927, 55561, 50854, 61263, 50938, 50449, 57533, 51267, 52324, 51077, 62286, 52796, 51267, 53779, 53651, 50424, 59410, 50901, 54575, 51003, 50425, 55561, 68412, 52592, 51400, 53281, 51351, 61263, 79178, 59410, 50942, 55561, 67168, 52324, 51077, 50448, 53799, 51183, 50449, 57533, 51003, 51018, 50424, 59410, 50942, 55561, 50942, 50436, 61263, 50889, 50437, 52451, 50854, 59410, 50901, 55561, 50901, 52892, 51177, 50448, 52324, 51077, 53779, 51790, 51034, 57533, 51003, 55463, 51003, 50425, 55745, 50942, 54476, 57629, 53256, 50977, 50436, 55745, 50942, 54476, 50977, 53799, 50901, 61263, 50889, 50447, 52892, 51177, 52451, 51562, 50448, 53779, 51183, 50449, 61947, 50942, 57533, 51003, 52324, 51077, 51018, 50424, 55745, 50942, 50425, 54476, 50942, 50436, 55745, 50977, 52892, 51255, 61263, 50889, 50437, 54476, 79860, 52451, 52069, 50448, 52324, 51077, 53779, 51790, 50449, 57533, 51351, 51018, 50424, 58802, 66659, 54476, 50942, 55745, 50977, 50436, 61263, 50889, 58802, 63443, 54476, 50942, 55745, 50977, 50449, 57533, 51003, 52592, 51790, 52324, 50910, 53779, 51351, 51018, 50424, 52324, 52476, 50589, 66659, 55745, 50977, 54476, 78885, 61263, 79178, 55745, 50977, 54476, 50977, 58802, 71303, 52324, 51446, 53779, 61495, 57533, 51267, 51018, 50425, 59410, 50942, 55561, 50942, 50427, 53799, 50942, 50428, 53256, 68412, 58802, 63443, 55561, 50977, 59410, 50901, 53799, 51267, 61263, 50938, 50448, 58802, 51003, 53779, 51295, 50449, 53256, 51183, 52324, 51141, 51034, 57533, 51003, 50425, 55561, 50942, 59410, 50977, 50437, 55561, 50942, 59410, 50977, 52892, 74387, 61263, 51111, 50449, 52451, 50854, 57533, 51003, 51034, 52324, 51141, 50418, 52451, 51295, 50424, 53779, 50942, 50425, 55561, 55035, 59410, 50977, 50436, 52892, 51351, 58802, 63443, 59410, 50901, 61263, 73835, 55561, 65586, 58802, 61495, 52324, 50808, 51034, 57533, 51267, 55463, 51003, 50424, 55561, 50977, 59410, 50901, 61263, 63790, 53952, 51183, 50435, 61263, 50910, 50436, 59410, 50901, 50437, 55561, 50901, 50449, 57720, 51141, 51034, 57457, 51267, 54801, 51183, 50425, 54476, 50942, 55745, 50977, 50436, 54921, 51267, 50437, 55745, 50942, 54476, 50901, 62324, 59414, 52892, 51255, 50449, 57720, 51204, 62286, 57457, 51267, 50418, 52451, 51562, 50423, 53779, 50942, 50424, 55654, 50977, 50425, 54476, 50942, 50436, 62324, 50910, 53779, 50942, 50437, 54476, 50942, 55654, 51177, 54921, 51003, 50449, 54576, 50805, 52324, 51446, 51034, 57457, 51267, 50415, 53603, 59003, 51295, 50416, 53281, 50854, 52451, 53651, 50425, 54476, 50942, 55654, 50901, 50436, 61263, 79178, 55654, 50977, 54476, 50977, 50449, 57457, 51400, 51034, 52324, 50889, 58802, 51790, 50425, 54476, 50942, 55654, 50977, 61263, 79178, 54476, 50977, 55654, 50901, 61263, 50910, 50449, 58802, 51194, 51034, 52820, 51077, 50417, 57457, 50942, 57533, 51351, 50429, 59410, 50977, 55561, 50977, 50439, 59410, 50942, 55561, 50942, 50441, 64749, 50938, 51034, 57533, 51267, 50416, 53125, 50977, 54096, 51003, 51206, 59196, 52324, 51204, 50425, 59410, 50942, 55561, 50977, 50427, 53125, 51003, 50429, 61263, 80223, 59410, 50942, 55561, 50977, 54575, 51255, 50439, 61263, 77534, 57533, 51267, 52796, 51003, 62286, 52324, 51204, 50424, 55561, 50942, 52592, 51177, 61263, 50938, 50425, 59410, 50977, 50434, 54801, 51194, 50435, 61263, 79178, 55561, 50854, 59410, 67168, 53256, 51003, 50448, 52324, 51623, 51034, 57533, 51267, 50425, 59410, 50942, 55561, 50942, 50436, 52892, 50977, 50437, 59410, 50942, 55561, 50942, 61263, 50910, 51034, 57533, 51003, 50415, 52324, 51446, 51206, 54475, 53799, 57629, 59410, 50942, 55561, 50942, 50437, 55561, 50942, 59410, 50977, 53799, 51177, 61263, 50938, 50449, 57533, 51267, 53603, 51267, 52324, 51116, 52820, 51111, 58802, 50862, 51018, 50423, 52451, 51562, 50425, 59410, 50977, 55561, 50977, 58802, 59948, 59410, 50942, 55561, 50942, 58802, 52950, 52592, 70532, 61263, 51111, 64749, 61190, 58802, 58560, 57533, 51267, 52592, 51183, 67079, 52324, 51095, 50425, 55561, 50854, 59410, 50942, 50436, 55561, 50942, 59410, 50977, 50439, 62324, 51116, 72572, 50910, 50448, 52892, 51790, 50449, 57533, 51267, 51034, 53779, 51790, 50415, 57720, 51446, 50424, 59410, 50942, 55561, 50942, 50436, 62324, 80223, 59410, 50977, 55561, 50977, 50449, 52451, 51790, 57720, 51446, 50779, 50603, 51400, 51034, 57533, 51003, 50425, 55745, 50942, 54476, 50942, 53779, 50942, 50436, 54476, 50901, 50437, 55745, 50977, 62324, 50805, 50440, 53779, 50942, 50448, 57533, 51003, 52451, 51351, 50449, 57720, 51141, 51034, 50779, 50603, 53651, 50425, 55745, 50942, 54476, 50977, 53799, 51295, 50437, 55745, 50977, 54476, 50977, 62324, 51095, 50448, 57720, 51077, 51034, 57533, 51267, 50415, 52451, 51790, 50425, 55745, 60086, 54476, 50942, 50436, 62324, 51204, 50437, 55745, 50977, 54476, 50977, 50448, 52592, 51692, 50449, 50779, 50603, 51183, 51034, 57533, 51003, 50415, 57720, 51077, 50425, 55745, 50977, 54476, 50977, 50437, 55745, 50977, 54476, 60592, 62324, 51204, 50449, 57533, 51003, 52451, 51003, 51034, 53779, 51295, 50415, 57720, 51446, 50424, 55561, 50942, 59410, 50977, 50427, 53799, 51400, 50436, 53779, 50942, 50437, 59410, 50977, 55561, 50977, 55463, 51255, 50447, 53952, 51351, 50448, 53205, 50977, 50449, 57533, 51267, 51206, 50378, 56424, 51562, 51034, 52324, 51077, 50425, 55561, 50854, 59410, 50942, 54676, 51003, 50436, 56676, 51003, 61263, 51204, 50437, 53779, 54181, 59410, 50942, 55561, 50942, 50448, 53779, 51562, 50449, 52324, 51077, 51034, 57533, 51267, 50415, 55745, 51692, 50424, 59410, 65928, 61521, 55561, 63443, 55561, 50942, 59410, 50977, 61263, 50889, 53779, 50942, 50449, 57533, 51003, 53779, 51692, 51034, 52324, 78034, 55561, 51183, 50424, 59410, 50977, 55561, 50977, 50436, 59410, 50942, 61263, 50938, 50437, 55561, 50977, 51034, 57457, 51003, 52820, 51077, 55471, 50805, 58802, 53597, 50605, 51562, 50415, 54476, 50977, 55561, 51183, 50425, 55654, 57629, 54476, 68412, 64749, 51111, 50437, 54476, 50942, 55654, 50977, 53779, 60592, 55654, 50901, 50449, 57457, 51267, 55654, 51183, 52820, 51077, 53779, 51183, 51034, 58802, 50942, 50424, 55654, 50901, 50427, 58802, 59948, 54476, 50977, 54476, 50977, 55654, 50901, 64749, 53912, 58802, 58560, 57457, 51400, 54476, 51692, 53779, 51183, 58802, 50862, 62286, 52820, 51446, 50424, 54476, 50942, 50425, 55654, 57629, 58802, 59948, 54476, 50977, 55654, 51177, 64749, 51116, 58802, 64598, 53205, 51003, 58802, 50378, 56424, 51295, 50449, 57457, 51400, 51034, 52820, 51116, 50424, 55654, 50942, 54476, 50942, 64749, 50910, 50427, 53256, 51003, 50435 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 11057, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 326, 5638, 18026, 6, 3459, 9590, 6, 32909, 6, 8, 21979, 8669, 4, 8504, 11, 274, 3694, 19, 10, 2635, 20889, 9, 1812, 741, 1685, 6, 42, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57448, 50438, 50625, 52178, 51013, 56433, 57512, 56433, 62968, 50625, 56433, 54129, 56433, 60178, 50625, 56433, 58772, 56433, 52267, 56433, 59587, 50624, 56433, 56877, 56433, 53851, 50624, 56433, 64223, 56433, 58977, 50624, 56433, 52568, 52194, 51013, 54705, 56721, 54705, 62353, 50624, 54705, 54085, 54705, 57916, 50624, 54705, 57859, 54705, 52193, 50624, 54705, 57895, 54705, 56995, 54705, 53736, 50624, 54705, 60488, 54705, 56912, 50623, 54705, 50817, 50799, 54006, 52821, 53350, 55534, 50623, 53350, 63603, 53350, 55265, 50623, 53350, 61792, 53350, 61993, 53350, 52302, 50623, 53350, 60879, 53350, 57369, 50623, 53350, 53578, 53350, 63863, 50623, 53350, 60517, 53350, 52630, 53350, 56973, 50623, 53350, 62938, 53350, 54396, 53350, 57834, 53350, 58976, 53350, 52265, 53350, 58167, 53350, 56987, 53350, 53785, 53350, 62602, 53350, 57776, 53350, 52676, 50939, 51237, 53350, 57512, 53350, 62968, 53350, 54129, 53350, 60178, 53350, 58772, 53350, 52267, 53350, 59587, 53350, 56877, 53350, 53851, 53350, 64223, 53350, 58977, 53350, 52568, 68574, 53350, 56721, 53350, 62353, 53350, 54085, 53350, 57916, 53350, 57859, 53350, 52193, 53350, 57895, 53350, 56995, 53350, 53736, 53350, 60488, 53350, 56912, 53350, 50817, 50799, 51125, 50829, 53350, 55534, 51125, 50828, 53350, 63603, 51125, 50841, 53350, 55265, 51125, 50839, 53350, 61792, 51125, 50839, 53350, 61993, 51125, 50839, 53350, 52302, 51125, 50820, 53350, 60879, 51125, 50820, 53350, 57369, 51125, 50820, 53350, 53578, 51125, 50834, 53350, 63863, 51125, 50829, 53350, 60517, 51125, 50829, 53350, 52630, 51125, 50829, 53350, 56973, 51125, 50829, 53350, 62938, 51125, 50829, 53350, 54396, 51125, 50829, 53350, 57834, 51125, 50835, 53350, 58976, 51125, 50835, 53350, 52265, 51125, 50835, 53350, 58167, 51125, 50829, 53350, 56987, 51125, 50829, 53350, 53785, 51125, 50834, 53350, 62602, 51125, 50839, 53350, 57776, 51125, 50846, 53350, 52676, 50624, 53397, 51003, 52588, 57512, 52588, 62968, 52588, 54129, 52588, 60178, 52588, 58772, 52588, 52267, 52588, 59587, 52588, 56877, 52588, 53851, 52588, 64223, 52588, 58977, 52588, 52568, 54006, 50943, 53350, 56721, 53350, 62353, 53350, 54085, 53350, 57916, 53350, 57859, 53350, 52193, 53350, 57895, 53350, 56995, 53350, 53736, 53350, 60488, 53350, 56912, 53350, 50817, 71412, 51016, 54705, 55534, 54705, 63603, 54705, 55265, 54705, 61792, 54705, 61993, 54705, 52302, 54705, 60879, 54705, 57369, 54705, 53578, 54705, 63863, 54705, 60517, 54705, 52630, 52377, 52919, 53812, 56973, 53812, 62938, 53812, 54396, 53812, 57834, 53812, 58976, 53812, 52265, 53812, 58167, 53812, 56987, 53812, 53785, 53812, 62602, 53812, 57776, 53812, 52676, 50624, 51298, 51090, 53812, 57512, 53812, 62968, 50624, 53812, 54129, 53812, 60178, 50624, 53812, 58772, 50624, 53812, 52267, 53812, 59587, 50623, 53812, 56877, 53812, 53851, 50623, 53812, 64223, 53812, 58977, 50623, 53812, 52568, 51125, 51090, 53812, 56721, 50623, 53812, 62353, 50623, 53812, 54085, 53812, 57916, 50623, 53812, 57859, 53812, 52193, 50623, 53812, 57895, 53812, 56995, 50622, 53812, 53736, 53812, 60488, 50622, 53812, 56912, 53812, 50817, 50799, 68574, 53812, 55534, 53812, 63603, 53812, 55265, 53812, 61792, 53812, 61993, 53812, 52302, 53812, 60879, 53812, 57369, 53812, 53578, 53812, 63863, 53812, 60517, 53812, 52630, 50637, 50992, 52266, 53812, 56973, 53812, 62938, 53812, 54396, 53812, 57834, 53812, 58976, 53812, 52265, 53812, 58167, 53812, 56987, 53812, 53785, 53812, 62602, 53812, 57776, 53812, 50817, 51528, 50914, 52389, 50914, 51450, 55441, 50798, 50914, 50799, 53456, 53601, 51702, 53601, 50798, 64051, 51210, 57493, 51142, 53951, 51142, 52389, 51330, 50804, 51142, 57096, 51051, 53924, 51051, 51450, 56858, 50933, 55258, 50933, 53526, 51008, 57613, 59975, 51008, 55350, 50959, 54124, 50959, 51528, 57604, 50955, 57493, 50955, 53951, 50878, 52389, 56951, 50878, 57096, 50942, 53924, 50942, 51450, 56744, 50925, 55258, 50925, 53526, 58460, 52334, 58642, 55560, 50897, 55350, 61997, 51723, 61487, 50878, 54662, 51237, 51186, 59579, 68067, 51337, 50422, 51040, 51045, 50871, 51045, 50906, 66037, 51085, 51237, 51133, 60005, 56255, 61782, 51040, 51045, 50871, 51045, 50906, 66889, 58450, 51360, 51237, 52022, 59579, 59146, 63251, 52334, 51045, 51040, 51045, 50871, 51045, 50906, 68280, 51723, 51045, 51247, 51237, 50945, 60005, 56255, 63321, 51509, 51045, 51040, 51045, 50871, 51045, 50906, 66889, 50959, 54662, 51237, 51186, 59579, 68067, 65023, 51040, 51045, 50871, 65181, 66037, 51085, 51237, 51133, 60005, 56255, 61782, 51040, 51045, 50871, 65181, 66889, 58450, 51360, 51237, 52022, 59579, 57075, 63251, 51723, 51045, 51040, 51045, 50871, 65181, 68280, 51509, 51045, 51247, 51237, 50945, 60005, 56255, 63321, 51579, 51045, 51040, 51045, 50871, 65181, 66889, 50959, 50799, 52264, 54055, 51234, 51237, 51186, 59579, 68067, 51337, 50422, 51040, 51045, 50871, 51045, 50965, 66037, 51085, 51237, 51133, 60005, 56255, 61782, 51040, 51045, 50871, 51045, 50965, 66889, 58450, 51360, 51237, 52022, 59579, 59146, 63251, 51040, 51045, 50871, 51045, 50965, 68280, 51234, 51237, 51186, 60005, 56255, 63321, 52336, 51045, 51040, 51045, 50871, 51045, 50965, 66889, 50959, 65578, 51045, 52046, 51237, 51105, 59579, 59146, 50959, 50418, 51509, 51045, 50422, 51641, 51045, 50956, 51045, 69267, 50906, 66037, 51234, 51237, 51186, 60005, 56255, 61782, 50956, 51045, 69267, 50906, 66889, 58450, 51214, 51237, 50953, 59579, 68067, 63251, 50956, 51045, 69267, 50906, 68280, 52334, 51483, 52046, 51237, 51105, 60005, 56255, 63321, 51723, 51045, 50956, 51045, 69267, 50906, 66889, 50959, 54662, 51237, 51186, 59579, 73256, 51337, 50422, 51040, 51045, 50871, 51045, 50906, 66037, 51085, 51237, 51133, 60005, 56255, 61782, 51040, 51045, 50871, 51045, 50906, 66889, 58450, 51360, 51237, 52022, 59579, 70398, 63251, 52334, 51045, 51040, 51045, 50871, 51045, 50906, 68280, 51723, 51045, 51247, 51237, 50945, 60005, 56255, 63321, 51509, 50823, 51040, 51045, 50871, 51045, 50906, 66889, 50959, 54662, 51237, 51186, 59579, 70398, 65023, 51040, 51045, 50871, 65181, 66037, 51085, 51237, 51133, 60005, 56255, 61782, 51040, 51045, 50871, 65181, 66889, 58450, 51360, 51237, 52022, 59579, 70398, 63251, 51723, 50823, 51040, 51045, 50871, 65181, 68280, 51509, 50823, 51247, 51237, 50945, 60005, 56255, 63321, 51579, 50823, 51040, 51045, 50871, 65181, 66889, 50959, 50799, 52264, 51795, 51234, 51237, 51186, 59579, 70398, 51337, 50422, 51040, 51045, 50871, 51045, 50965, 66037, 51085, 51237, 51133, 60005, 56255, 61782, 51040, 51045, 50871, 51045, 50965, 66889, 58450, 51360, 51237, 52022, 59579, 73256, 63251, 51040, 51045, 50871, 51045, 50965, 68280, 51120, 51237, 51271, 60005, 56255, 63321, 52336, 50823, 51040, 51045, 50871, 51045, 50965, 66889, 50959, 65578, 50823, 51197, 51483, 52053, 72223, 70398, 50959, 50418, 51509, 56733, 51641, 50823, 51234, 53819, 50307, 59021, 72234, 51186, 57480, 51214, 51237, 50953, 60005, 56255, 61782, 50956, 59021, 62406, 54286, 58450, 52046, 51237, 51105, 59579, 73256, 63251, 51641, 64501, 59021, 62406, 53798, 79430, 51234, 51237, 51186, 60005, 56255, 63321, 52264, 64501, 59021, 62406, 54286, 50959, 50799, 52336, 50823, 51234, 51237, 51186, 59579, 70398, 51337, 50418, 52264, 56733, 52336, 54217, 51040, 60246 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 19, 10, 25306, 619, 6, 4246, 10, 5540, 13305, 816, 11, 10, 2933, 8, 9066, 2496, 4, 8504, 11, 211, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 23667, 27841, 139, 20889, 6, 7630, 14805, 3722, 8, 15352, 30054, 3423, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50877, 54869, 50906, 54498, 50876, 54980, 50876, 50932, 55694, 54869, 50877, 54498, 50906, 54980, 50876, 50932, 54960, 54869, 50877, 54498, 50877, 54980, 50906, 50932, 54960, 54869, 50902, 54498, 50902, 54980, 50902, 50932, 57289, 54869, 50968, 54498, 50931, 50932, 54594, 54869, 50877, 54498, 50906, 54980, 50906, 50932, 54852, 50932, 54439, 54498, 50877, 54980, 50906, 50932, 55694, 50932, 54439, 54498, 50861, 54980, 50876, 50932, 54960, 54869, 50968, 53052, 50968, 56350, 50902, 56109, 50876, 50932, 52591, 50906, 55665, 50877, 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, 250, 15352, 30054, 3495, 2214, 11509, 657, 8, 11098, 6, 278, 11, 10, 11956, 155, 73, 306, 86, 6543, 19, 41, 178, 5285, 20889, 4, 20, 13305, 8, 2382, 3459, 8669, 483, 5, 169, 6, 7513, 30, 24896, 6, 38668, 11212, 6, 8, 21072, 4, 23973, 11, 5, 762, 9, 211, 538, 6, 5, 2125, 1575, 10, 33215, 16739, 9, 83, 6, 272, 6, 8, 211, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 80054, 50435, 55289, 50917, 50439, 52682, 51215, 50446, 52521, 50924, 51034, 50988, 51422, 50920, 70383, 53122, 51345, 50422, 50848, 51162, 50425, 51967, 59492, 50847, 61235, 67458, 61204, 50935, 54653, 53122, 61722, 50848, 61794, 52064, 64266, 55721, 53122, 64827, 52521, 51013, 51967, 50981, 51034, 51171, 51677, 50920, 60171, 58856, 50425, 53122, 79642, 51967, 51310, 67662, 72032, 50843, 63520, 50848, 53894, 50944, 58875, 56175, 53114, 52521, 58953, 53122, 62387, 50854, 67746, 57091, 52521, 50833, 51034, 52682, 51446, 50988, 51518, 50920, 51126, 50421, 50848, 54335, 58966, 67561, 50843, 63520, 52521, 54125, 53122, 61055, 52064, 50993, 56894, 50935, 53614, 50843, 61334, 52521, 50952, 50848, 61216, 53122, 51235, 51034, 51171, 51677, 50920, 66806, 52521, 50921, 50848, 58382, 52682, 74515, 51470, 50935, 61724, 54077, 55353, 50889, 50847, 58975, 55681, 64529, 50848, 58917, 61442, 57526, 50851, 51444, 50921, 51034, 55289, 51692, 50988, 51452, 50920, 50867, 51311, 51090, 50422, 61301, 50425, 50847, 61235, 50974, 55057, 50941, 50960, 51496, 50437, 50847, 62552, 54077, 50843, 63693, 50998, 50936, 50446, 50848, 60062, 56479, 51034, 50988, 51939, 50920, 60171, 50848, 57818, 50847, 62491, 51074, 50843, 50941, 51311, 51016, 50434, 50848, 54927, 57578, 50935, 56395, 57013, 51444, 62888, 50848, 55638, 50886, 51034, 51332, 51422, 50920, 51126, 79655, 50422, 50885, 57630, 70987, 50847, 55468, 50941, 58208, 50434, 50885, 54728, 65419, 64957, 50843, 50886, 51311, 51033, 50442, 51131, 62150, 50885, 50836, 51207, 50857, 51034, 50988, 52015, 50920, 50971, 51207, 51033, 50418, 51574, 50925, 50421, 50848, 51775, 50422, 51444, 58382, 63955, 50935, 51470, 50843, 54077, 55289, 51203, 50847, 67133, 56129, 70435, 51444, 50936, 50446, 55353, 69912, 59301, 50851, 51034, 55289, 51692, 50988, 51452, 50920, 50867, 51311, 51090, 50422, 50848, 52580, 50847, 58244, 57121, 50941, 50960, 51496, 50437, 50935, 53894, 50847, 52847, 63693, 51311, 50936, 50446, 63206, 51034, 50988, 51662, 50920, 79722, 51030, 50419, 51311, 60721, 66397, 51131, 66031, 51207, 51542, 50426, 64957, 50935, 51051, 50843, 54927, 53122, 51221, 55289, 50914, 50847, 59724, 55309, 57013, 50848, 55685, 50843, 50886, 51207, 58181, 52064, 61444, 53122, 50867, 51034, 67258, 51486, 52521, 53651, 51688, 51677, 50920, 51126, 58208, 50422, 50946, 52921, 56521, 51017, 73263, 50941, 50427, 51131, 51285, 50434, 50946, 55666, 78244, 50868, 63342, 61334, 50946, 50867, 51207, 50948, 51034, 55289, 51397, 51171, 51452, 50920, 50971, 51311, 51173, 50421, 50946, 50904, 51131, 51685, 50425, 78430, 50944, 51328, 55057, 59992, 53122, 61169, 55353, 51110, 50848, 66275, 53894, 50843, 70435, 55289, 67973, 50946, 59301, 55854, 55353, 61216, 55289, 51677, 51034, 51171, 51939, 50920, 60999, 50946, 59386, 50944, 67682, 51242, 50843, 54927, 50848, 59034, 56944, 63693, 50946, 50862, 51034, 51332, 51422, 50920, 65106, 51460, 50421, 69047, 50425, 50929, 52195, 50426, 50868, 55196, 66666, 54927, 50868, 57823, 57323, 56453, 50885, 57729, 50886, 50998, 50948, 51034, 50988, 51692, 50920, 51126, 50947, 51460, 50422, 62374, 50929, 54856, 52064, 50943, 50868, 51194, 66329, 50843, 54927, 52130, 50967, 57409, 50847, 56661, 63693, 51951, 62604, 50885, 57904, 74178, 51034, 52064, 50914, 51332, 51518, 50920, 50971, 79186, 50422, 50885, 59386, 52780, 51103, 50847, 60046, 51177, 50843, 50867, 50929, 63418, 59227, 64829, 50843, 50971, 50998, 51090, 50446, 50885, 57729, 50851, 51034, 53020, 51662, 50988, 51692, 50920, 50867, 50960, 51685, 50421, 57786, 50425, 50847, 51753, 50935, 54861, 55057, 65219, 62974, 62486, 57315, 63693, 52142, 50910, 57884, 50998, 50921, 50449, 51951, 50943, 51034, 52130, 50981, 51332, 51518, 50920, 50862, 51311, 59630, 51131, 50925, 50421, 51207, 51310, 50422, 69047, 50425, 52682, 53765, 51967, 52919, 50847, 56467, 51177, 50843, 63520, 50885, 56006, 52521, 50914, 57230, 50868, 51177, 50843, 56453, 63062, 50843, 50886, 51207, 63500, 53122, 51662, 51034, 50988, 51518, 50920, 51126, 50960, 51286, 50421, 65125, 50422, 51131, 59214, 51311, 50948, 50425, 50935, 51481, 66329, 55057, 63520, 50848, 57892, 50935, 58151, 50847, 51277, 50843, 54758, 52064, 50942, 50445, 53122, 50942, 57884, 50446, 51207, 54787, 52682, 62955, 52521, 51486, 51034, 51171, 51677, 50920, 50971, 51131, 51566, 50421, 66397, 50425, 50944, 61886, 55035, 50843, 50867, 51311, 51496, 50433, 50848, 58604, 50850, 66801, 51233, 50843, 70435, 51207, 68787, 50848, 56661, 70936, 52682, 51003, 51034, 50988, 51677, 50920, 50867, 51131, 71711, 51311, 58481, 51131, 54718, 51207, 51977, 50422, 58440, 50425, 50935, 75360, 51951, 50983, 50847, 51277, 50843, 63520, 50848, 56180, 50935, 56785, 51242, 50843, 64100, 53058, 50978, 50446, 52130, 50952, 58816, 50449, 50744, 50310, 50896, 70126, 50807, 51034, 50927, 51108, 51967, 50889, 50944, 51380, 50848, 63575, 50915, 52093, 50425, 60531, 55973, 68151, 51013, 51019, 51097, 52130, 55278, 51267, 50868, 55530, 59348, 58291, 50744, 50310, 50889, 61919, 51655, 50438, 51213, 51330, 53058, 50889, 50944, 51108, 50850, 55530, 58880, 64201, 51444, 51033, 50449, 60531, 51692, 51034, 50953, 51939, 51951, 51662, 50988, 51896, 50798, 51518, 50920, 50874, 51311, 51566, 50422, 61301, 50791, 58821, 50847, 61235, 56307, 50920, 51008, 50960, 52195, 55703, 58291, 50847, 62552, 54077, 50903, 50980, 50920, 51058, 50446, 50848, 53111, 50809, 50998, 50936, 51034, 50953, 51422, 50988, 66006, 51161, 50920, 50874, 50960, 50921, 50419, 51131, 54475, 51311, 65291, 50848, 55999, 50809, 51131, 63790, 66681, 51103, 67932, 53259, 51207, 51448, 50426, 50847, 62491, 56275, 68163, 50848, 56423, 52444, 57578, 50935, 62290, 50980, 50920, 67139, 50848, 51589, 50809, 51444, 50936, 77668, 51939, 51332, 54805, 51518, 50920, 50874, 51574, 51090, 50422, 69503, 50988, 77392, 52329, 70987, 50847, 68680, 51058, 51207, 51496, 50434, 50885, 55181, 51724, 65419, 64957, 50903, 50980, 50920, 67139, 50885, 52217, 50809, 51444, 50936, 51034, 50953, 51662, 50988, 51790, 50798, 51486, 50920, 50874, 51131, 56868, 51311, 51427, 50421, 67932, 51264, 50848, 51775, 55429, 58821, 74420, 54527, 50426, 63955, 50935, 51470, 50920, 51008, 55703, 52444, 50847, 67133, 62156, 50980, 50920, 51058, 50445, 51207, 50936, 50446, 50848, 53330, 59248, 65400, 51034, 50953, 51662, 50988, 51790, 50798, 51486, 50920, 65370, 50848, 54225, 58821, 50960, 67566, 50847, 58244, 73180, 51008, 55703, 58291, 50935, 65106, 51427, 50438, 50847, 56880, 50980, 50920, 51058, 50446, 50848, 53065, 50809, 50998, 50921, 51034, 50953, 51939, 50988, 60881, 51518, 50920, 50874, 50960, 51033, 64308, 64246, 66397, 51311, 50890, 55429, 53467, 51131, 60892, 50744, 50327, 54143, 50425, 67932, 50918, 51207, 66038, 64957, 50935, 73074, 50874, 55703, 52444, 50847, 59724, 58713, 50980, 50920, 51008, 50445, 50848, 55685, 50791, 50809, 51207, 63154, 50744, 50317, 51314, 51034, 51069, 51592, 51688, 64391, 51692, 50920, 73821, 51207, 51054, 50422, 50946, 50822, 51217, 51318, 50791, 52329, 56521, 79081, 50920, 51058, 50427, 51131, 52195, 50434, 50946, 59029, 51724, 78244, 69230, 50903, 50980, 50920, 67139, 50946, 53065, 50809, 51207, 50880, 51034, 50927, 51742, 50927, 51677, 51171, 51591, 50798, 76270, 51538, 50920, 50874, 51131, 50930, 50416 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 10, 12298, 1619, 4780, 150, 6780, 10, 19448, 8, 5679, 26709, 13569, 9862, 4, 2595, 10312, 30, 10, 13305, 6, 6755, 12547, 6, 1515, 21305, 6, 2342, 4467, 6, 8, 21979, 9590, 6, 24, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 381, 6, 274, 6, 230, 6, 8, 3676, 6, 8216, 7, 63, 3722, 5581, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50796, 50430, 50906, 52069, 50431, 53492, 52151, 51234, 52151, 50871, 51991, 50433, 50899, 51605, 50435, 50900, 51692, 50451, 75640, 59412, 51026, 52337, 50997, 52096, 53337, 51313, 50877, 52644, 50876, 53454, 50871, 52919, 50796, 50434, 50899, 51538, 69332, 51790, 50444, 67663, 75152, 51097, 52478, 50916, 53295, 51430, 55428, 51814, 55068, 50419, 51081, 53295, 51085, 52821, 50452, 52155, 51552, 55746, 52315, 51054, 50445, 51596, 51054, 50453, 50852, 53902, 51752, 53435, 56875, 51145, 50856, 54228, 54524, 51656, 51717, 51743, 51422, 50461, 51140, 51518, 51027, 51790, 51050, 74462, 52069, 50900, 51486, 52133, 53295, 50796, 53924, 55595, 55197, 51050, 51003, 50442, 51027, 51351, 50999, 51157, 50449, 50900, 51110, 51339, 51294, 56871, 63305, 51749, 50856, 76665, 54228, 54524, 52033, 51151, 50457, 51461, 52222, 51430, 52500, 51027, 51452, 50900, 51591, 50916, 51675, 50796, 57096, 59260, 52256, 50445, 50801, 50810, 51062, 51175, 57857, 54384, 51448, 50856, 53674, 50453, 54524, 50900, 51518, 51146, 53241, 50861, 51591, 51062, 51100, 51711, 52071, 51881, 51151, 50454, 51216, 52222, 50796, 51302, 56241, 52256, 50437, 50804, 55018, 53945, 51596, 51552, 50449, 50816, 51148, 50856, 51965, 50801, 50844, 52033, 51397, 52187, 53588, 50450, 51522, 51692, 51086, 52069, 50871, 52069, 50461, 51789, 51573, 57731, 50856, 52256, 51743, 51134, 50430, 51606, 51021, 57671, 76065, 51596, 51354, 50445, 50816, 51749, 50856, 52441, 54524, 51881, 53295, 72785, 51742, 50899, 51397, 50906, 51518, 50902, 51692, 51026, 51692, 51615, 51717, 51863, 51717, 50447, 51098, 51714, 50456, 52182, 56073, 50460, 50997, 51183, 53069, 50804, 54336, 54836, 50899, 51204, 50420, 50951, 51016, 50427, 51081, 65503, 51354, 57096, 59909, 51487, 51227, 50906, 51192, 50902, 51173, 53525, 51145, 50856, 60290, 52256, 50442, 54524, 51150, 52071, 51339, 51585, 50997, 51591, 50899, 51623, 50871, 51452, 51601, 50856, 52256, 51694, 51123, 50430, 50801, 64222, 51146, 51059, 50871, 51235, 50900, 51175, 62434, 51878, 50856, 51679, 54524, 51430, 54089, 52133, 53295, 50439, 51098, 52222, 50916, 51945, 50861, 51714, 50900, 51692, 55985, 56439, 51679, 69341, 50900, 51025, 53924, 55296, 51145, 50856, 51679, 50801, 55167, 51461, 51939, 50861, 51189, 50916, 51141, 50456, 52182, 51460, 50856, 51381, 50457, 50997, 51221, 50916, 51175, 70176, 51601, 54027, 51388, 50423, 52182, 50923, 50430, 51596, 52208, 50816, 56533, 51627, 50856, 54211, 54524, 50431, 50861, 51591, 50906, 51538, 51838, 51717, 51615, 51714, 51863, 51717, 50432, 51098, 51422, 50902, 51486, 51026, 51605, 57857, 56162, 53697, 50453, 50899, 51294, 50460, 50861, 51175, 53069, 51487, 53561, 50906, 51095, 50902, 51110, 57773, 50367, 51122, 51148, 50856, 60290, 51381, 54524, 52332, 51714, 50428, 51273, 52151, 50902, 51397, 51787, 51623, 51026, 51714, 50989, 51397, 79281, 50449, 50856, 52441, 79728, 50989, 51377, 50906, 51290, 51809, 50801, 70375, 51237, 50423, 50816, 56450, 51878, 50856, 54211, 54524, 50424, 51339, 51161, 50902, 51790, 51026, 51310, 50871, 51562, 50906, 51675, 51743, 51714, 50425, 51098, 51293, 64614, 56439, 56615, 72785, 51060, 53069, 50804, 55296, 51145, 50856, 76665, 51961, 50420, 50801, 50844, 50916, 51538, 50900, 51518, 52255, 51714, 51711, 51714, 50421, 51461, 52062, 50965, 51677, 50431, 51606, 51573, 65281, 51111, 71075, 53674, 50448, 51789, 51388, 50449, 50968, 51173, 59986, 72365, 51752, 51388, 51809, 52155, 52208, 50816, 51627, 50856, 54211, 54524, 52133, 51717, 51743, 51717, 50417, 51140, 51714, 51050, 52069, 50871, 51452, 50876, 51518, 50877, 51518, 51656, 51717, 53550, 56241, 52048, 50900, 51413, 72785, 51175, 50453, 50876, 51167, 51339, 79237, 51354, 55985, 55591, 51145, 50856, 60290, 59170, 54524, 50461, 51150, 52071, 51430, 51941, 50916, 51538, 50876, 51486, 51050, 51518, 50861, 51161, 50796, 54127, 52025, 50445, 50816, 51365, 50449, 50801, 52843, 51062, 51379, 50456, 50816, 51627, 50856, 55454, 54211, 50457, 54524, 51146, 51356, 50899, 51790, 50861, 51790, 50876, 51422, 50458, 51793, 51680, 51062, 50805, 50796, 57096, 56500, 54211, 50431, 51050, 51047, 55898, 51116, 50439, 51150, 51101, 55258, 64831, 52155, 51552, 50446, 51140, 51194, 50877, 50967, 53061, 56394, 51145, 50856, 51330, 50801, 50844, 51615, 51115, 50454, 51026, 51091, 50861, 51204, 50906, 75677, 50889, 51863, 51397, 50455, 51098, 51397, 52177, 52315, 51054, 80211, 51542, 50428, 51522, 51115, 51176, 51472, 50965, 51291, 52187, 51115, 52255, 66312, 52202, 61287, 50816, 73679, 51142, 50449, 51752, 60746, 51148, 50856, 52256, 50801, 52848, 51027, 51413, 50900, 51675, 50861, 51486, 52033, 51422, 51615, 51714, 52133, 51717, 50451, 51216, 51486, 50916, 51623, 51601, 52315, 51573, 53327, 56162, 52025, 50431, 52155, 51354, 50900, 51112, 53924, 53891, 52315, 65952, 51192, 50445, 51752, 52208, 50816, 55164, 51244, 50856, 51333, 50446, 54524, 50876, 51991, 50871, 51623, 50877, 51161, 51743, 51714, 51656, 53295, 50447, 51461, 52069, 50461, 51050, 51623, 52591, 50856, 54836, 50900, 51285, 73343, 51091, 50431, 50804, 54378, 50801, 76146, 51110, 57040, 51080, 50856, 60526, 52256, 54524, 50876, 52069, 52033, 51714, 50443, 51140, 51714, 51050, 52069, 50916, 51591, 50877, 51692, 51809, 50856, 52256, 50417, 50900, 51189, 50424, 50916, 51351, 77627, 50984, 50431, 50877, 51192, 62434, 56450, 51627, 50856, 52256, 50801, 62090, 50899, 51896, 50973, 51397, 50916, 51562, 52187, 51452, 52033, 51452, 52255, 51452, 50440, 51493, 52071, 50965, 51562, 55985, 56439, 51961, 50461, 51596, 51552, 50973, 74129, 51159, 50916, 51159, 50796, 50434, 51789, 57623, 54327, 51749, 55957, 53674, 50801, 50836, 51656, 51717, 51711, 51717, 50436, 51216, 52069, 50877, 51790, 50876, 51790, 50968, 51675, 50916, 51318, 51027, 55408, 50900, 53295, 50450, 51596, 51054, 50457, 50856, 52441, 50916, 51562, 51809, 51752, 71283, 54527, 55207, 57559, 51596, 51021, 50424, 50876, 51307, 50430, 51789, 55198, 50431, 50804, 61591, 51080, 50856, 53674, 50801, 50897, 50861, 51675, 50432, 51493, 51359, 50446, 50916, 51977, 50453, 50856, 52996, 50461, 50877, 51091, 52033, 51717, 51809, 50804, 55394, 50801, 50810, 57773, 50367, 51122, 51314, 50856, 60526, 51961, 50428, 54524, 50968, 52222, 50900, 51714, 50916, 51591, 50876, 52151, 51027, 51293, 53389, 53295, 50429, 51216, 51945, 50449, 50856, 51961, 50457, 50916, 50943, 55985, 50904, 51809, 50861, 50967, 53327, 69156, 50816, 51244, 50856, 52256, 50801, 50844, 50861, 51742, 50876, 51161, 50425, 51216, 51790, 50438, 51279, 75577, 52155, 51354, 50856, 53674, 50452, 53320, 51388, 50453, 51493, 51100, 51027, 51227, 50457, 50816, 54087, 50984, 50460, 52155, 50923, 50461, 51216, 58399, 51215, 52591, 51606, 52208, 50816, 51314, 50856, 52441, 54524, 51743, 51717, 51656, 51717, 50421, 51273, 51945, 51120, 54834, 50900, 51538, 50871, 51605, 50877, 51991, 51838, 51717, 80213, 52996, 76400, 51358, 54706, 64126, 50900, 51112, 51809, 50816, 52136, 50856, 76665, 51381, 50417, 50801, 50897, 51389, 73076, 50807, 50424, 50877, 51241, 50431, 50871, 51091, 53550, 59539, 52256, 50439, 51565, 51552, 51027, 69127, 50877, 50967, 50900, 51111, 50871, 51175, 50447, 51389, 51177, 50454, 50801, 50810, 51273, 51110, 55985, 63729, 50816, 51148, 50856, 52256, 54524, 51098, 51945, 50973, 51692 ]
[ 0, 250, 15855, 2125, 19, 10, 25306, 619, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 20183, 4, 8504, 11, 10, 16634, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 24, 30853, 19, 10, 6755, 12547, 6, 21979, 8669, 6, 32909, 6, 5730, 2342, 4467, 6, 8, 20535, 2810, 4, 20, 762, 9, 230, 538, 31473, 10, 3279, 8, 13869, 5466, 6, 150, 5, 16331, 33215, 16739, 9, 1918, 6, 274, 6, 230, 6, 8, 3676, 3639, 10, 2842, 9, 22531, 6, 442, 24, 10, 12365, 2031, 13, 5, 2317, 191, 50, 10, 8728, 2749, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 51034, 50629, 51034, 51299, 50828, 51088, 50839, 51266, 50829, 51182, 50825, 51150, 50835, 51725, 55614, 51883, 50839, 51301, 50828, 51093, 50829, 51266, 50825, 51216, 50835, 52012, 50828, 50986, 65334, 51299, 51400, 51113, 51480, 51093, 51592, 51887, 52149, 51793, 51939, 72588, 51504, 51591, 50417, 53729, 66403, 50631, 51032, 55382, 50631, 51638, 51003, 78035, 75561, 53019, 53182, 50632, 51032, 54975, 50631, 51883, 51003, 51154, 50995, 76079, 51788, 55480, 60265, 73566, 51638, 51692, 51088, 51662, 51488, 52826, 51140, 51422, 51504, 51591, 50415, 51563, 64739, 50631, 50970, 72270, 50630, 51064, 51218, 50432, 50630, 51316, 66744, 50628, 51563, 55200, 51064, 59956, 50631, 51504, 51675, 50448, 50929, 51127, 51034, 51088, 51003, 78256, 51793, 51422, 53019, 66403, 50631, 51316, 55382, 50632, 51154, 51003, 51113, 50995, 50970, 50943, 51788, 53182, 50632, 51316, 54975, 51301, 51003, 78035, 50998, 50943, 51563, 55480, 51316, 50845, 73566, 51154, 51353, 51113, 51313, 51093, 52826, 51140, 51452, 51504, 51486, 50415, 51438, 66526, 50631, 50986, 72270, 50630, 50929, 78787, 50630, 50947, 66744, 50629, 51438, 55200, 51098, 51079, 51563, 60469, 50631, 51131, 51591, 50448, 50970, 50943, 51034, 51883, 51486, 51216, 51422, 51788, 66403, 50631, 51032, 55382, 50632, 51301, 51003, 78035, 70699, 51563, 53182, 50632, 51032, 54975, 50632, 51251, 51353, 51154, 55408, 50960, 50914, 51438, 56157, 60265, 73566, 52316, 51486, 51357, 51592, 51522, 51422, 51846, 51538, 50415, 51292, 70506, 50630, 50970, 62479, 50630, 51076, 78787, 50630, 51067, 55306, 51316, 56391, 51067, 60785, 50630, 50986, 51518, 50448, 50970, 51422, 50449, 79749, 51064, 51422, 51034, 51107, 51592, 52143, 52903, 51638, 53454, 51113, 53413, 51150, 51422, 51788, 51538, 50420, 50630, 51067, 58632, 51067, 51448, 50447, 50630, 50986, 51518, 50448, 50998, 51677, 50449, 51316, 50892, 51064, 51677, 51034, 51301, 51662, 51488, 51592, 51461, 51422, 51788, 51538, 50420, 50631, 51316, 58632, 51316, 51448, 51034, 51887, 53849, 51299, 55392, 51154, 56004, 51113, 57598, 51140, 51422, 51504, 51422, 64308, 66527, 50986, 51452, 50970, 80179, 51131, 51253, 73831, 51422, 51504, 51422, 64308, 66527, 50986, 51452, 50970, 51591, 50437, 53036, 52056, 58034, 51109, 51656, 51806, 52036, 51109, 53718, 51109, 51201, 61148, 51898, 52188, 51509, 51025, 51713, 51025, 51131, 51253, 50449, 51898, 51806, 51509, 51109, 51656, 51806, 52036, 50915, 51713, 51109, 51201, 50915, 51034, 53036, 52136, 58034, 51397, 53718, 51397, 51887, 52140, 51299, 52528, 51154, 52916, 51113, 53866, 51140, 51422, 51504, 51422, 64308, 51115, 50424, 51656, 51330, 52225, 50915, 51266, 50915, 50425, 51898, 51330, 51744, 50915, 51888, 55382, 50970, 51413, 50986, 51397, 50431, 53036, 51376, 55979, 50866, 53828, 79271, 53036, 52056, 54263, 51109, 51898, 52188, 51485, 50915, 51656, 51806, 51838, 51109, 52886, 51109, 51648, 50915, 51107, 61148, 51131, 51480, 50448, 54375, 50870, 53036, 50870, 54263, 52528, 58034, 51422, 53437, 50863, 51723, 50863, 51656, 50863, 51838, 52431, 52036, 51422, 53718, 51422, 52371, 50837, 51491, 50891, 51638, 52140, 51154, 52916, 51165, 53866, 51251, 52528, 51201, 51422, 51273, 50820, 52157, 50820, 53271, 50820, 51444, 50820, 51078, 50828, 51246, 50867, 50960, 51043, 50970, 51110, 50449, 51485, 52431, 51509, 51422, 51713, 51422, 51034, 52157, 51422, 53271, 75504, 51246, 51115, 65404, 51397, 50970, 51413, 50438, 51246, 51480, 50448, 53527, 50870, 55979, 52919, 54467, 50870, 52211, 50863, 52255, 50863, 51863, 50863, 52225, 51151, 53828, 52919, 52830, 50837, 52065, 50870, 51375, 50908, 51301, 51000, 51266, 51151, 51493, 50820, 51574, 50820, 51846, 50829, 51311, 50820, 50998, 61216, 53527, 52528, 51723, 50863, 51863, 52431, 52143, 50837, 51638, 50870, 51088, 50908, 51461, 50820, 51725, 50820, 51207, 50829, 51246, 50820, 51034, 51723, 52431, 51744, 51714, 51888, 51714, 52143, 52140, 51638, 52528, 51301, 52916, 51088, 53866, 51461, 51422, 51725, 75504, 51207, 66527, 51246, 51047, 50998, 64050, 51207, 51253, 51034, 53036, 52136, 51898, 51142, 51656, 51330, 51887, 50837, 51299, 50870, 51154, 52916, 51113, 53866, 51461, 50820, 51140, 50820, 51725, 50820, 51504, 50820, 50986, 50820, 50970, 67381, 52371, 52140, 51251, 52528, 51273, 51422, 61414, 51444, 51422, 64308, 66527, 50970, 51103, 50960, 51452, 50436, 51743, 51330, 51838, 50915, 51107, 50915, 50437, 52756, 52378, 54263, 51025, 52334, 52188, 51485, 51025, 52886, 51025, 51648, 59290, 51131, 51253, 50449, 52334, 50863, 53437, 50863, 51485, 50915, 51648, 50915, 51154, 50891, 51491, 50891, 51078, 76769, 51100, 51034, 52756, 50870, 54263, 50915, 53527, 52056, 51723, 51806, 51743, 50863, 51863, 51806, 52886, 50915, 51838, 50915, 51638, 50837, 51165, 50908, 51107, 50915, 51638, 52140, 51251, 52528, 51165, 53866, 51154, 56004, 52157, 51422, 53271, 75504, 51246, 51115, 50425, 53527, 51333, 55979, 50915, 51723, 51806, 51744, 51109, 51863, 51806, 52225, 51109, 53828, 50915, 51888, 51109, 51266, 51109, 65404, 51047, 50970, 51591, 50436, 51838, 51330, 52036, 50915, 51201, 50915, 50437, 51485, 51330, 51509, 50915, 51713, 54975, 54263, 51333, 58034, 50915, 53718, 50915, 51246, 51253, 50449, 52334, 50863, 51431, 50915, 51683, 50915, 51034, 53036, 50870, 51898, 51806, 51743, 50863, 51656, 51330, 51711, 71534, 50915, 51887, 52140, 51299, 52528, 51113, 53866, 52157, 50820, 51461, 50820, 53271, 50820, 51725, 50820, 68657, 50415, 53036, 52378, 53918, 51025, 52626, 51025, 51140, 51422, 51504, 51422, 64308, 51115, 50425, 52756, 51490, 53036, 53295, 52334, 51447, 51898, 51151, 52430, 53295, 51913, 51151, 50426, 51743, 51447, 51656, 52919, 51113, 52919, 50970, 51413, 50986, 60610, 51131, 51253, 50449, 53664, 52528, 54595, 51447, 52133, 52431, 51883, 50837, 51301, 50891, 52419, 50820, 52012, 50820, 50998, 50828, 51034, 51883, 52140, 51299, 52528, 51301, 52916, 51113, 57598, 52419, 51422, 52012, 51422, 64308, 66527, 50986, 51047, 50998, 64050, 51131, 51253, 51034, 52756, 51490, 52371, 52140, 51251, 52528, 51154, 52916, 52419, 50820, 51273, 51422, 52012, 50820, 61414, 63852, 51444, 51422, 64308, 51115, 65404, 51047, 50970, 51591, 50437, 52756, 52378, 53918, 51025, 51743, 52188, 51711, 51025, 52626, 51025, 51093, 59290, 52334, 51852, 51431, 51203, 51683, 51203, 51131, 51253, 50449, 52334, 50863, 51431, 50915, 51683, 50915, 51034, 52756, 50870, 53036, 51333, 53918, 51134, 51898, 51806, 51743, 50863, 51656, 51330, 51711, 51134, 52626, 51134, 51887, 50837, 51299, 50870, 51093, 51134, 51887, 52140, 51299, 52528, 51113, 53866, 51154, 56004, 51140, 51422, 59655, 51504, 51422, 64308, 51115, 50425, 51898, 51330, 51485, 50915, 51648, 55382, 53036, 52056, 54263, 51109, 52886, 51109, 51656, 51330, 51838, 50915, 51107, 50915, 50986, 51397, 50970, 51591, 50437, 51898, 51806, 51744, 51109, 51888, 61148, 53036, 52378, 55979, 51025, 53828, 51025, 51656, 51806, 52225, 50915, 51266, 50915, 51131, 51253, 50448, 51898, 50863, 51485, 52431, 51509, 51422, 51713, 51422, 52371, 50837, 51251, 52528, 51273, 50820, 51444, 50820, 50960, 51043, 50449, 54263, 52528, 58034, 51714, 51863, 50863, 53718, 51714, 51638, 52140, 51165, 53866, 52157, 50820, 53271, 50820, 51246, 50829, 51034, 51838, 52431, 52036, 51422, 51201, 51422, 52157, 51422, 53271 ]
[ 0, 250, 20902, 3495, 1619, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 3459, 8, 21979, 29589, 6, 9590, 6, 8, 21072, 4, 20, 33301, 16, 33928, 8, 31612, 6, 7630, 14805, 6453, 9, 657, 4, 8504, 11, 5, 762, 9, 83, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 182, 1769, 20889, 9, 8963, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 381, 406, 6, 211, 6, 83, 6, 381, 406, 6, 211, 3872, 4668, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 71691, 63065, 50918, 51125, 51551, 51943, 51196, 51917, 51356, 61289, 50837, 51302, 53934, 50870, 58711, 51336, 50935, 52195, 51499, 51291, 51912, 66914, 50895, 51382, 53934, 50891, 54468, 71365, 51496, 51200, 50983, 51664, 51446, 50801, 50884, 51302, 53708, 50891, 55827, 66801, 50882, 51969, 50952, 52812, 59155, 53806, 51374, 78775, 51573, 51580, 51013, 52733, 63524, 50841, 51382, 53708, 50870, 56682, 51472, 50946, 51235, 51571, 53259, 53737, 52045, 50801, 53516, 50946, 51346, 51017, 51346, 50868, 51346, 51200, 72885, 53934, 50891, 65530, 51112, 54360, 50918, 51200, 58493, 53885, 51200, 68031, 50946, 51346, 51017, 51346, 50868, 73504, 53708, 65392, 50847, 67768, 51200, 52382, 56682, 66914, 53516, 50946, 51162, 51017, 51377, 50868, 51346, 50847, 60503, 53708, 50891, 55827, 50924, 52733, 69237, 53806, 51374, 50983, 52733, 60314, 53083, 50946, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53934, 50891, 56682, 50918, 51571, 54153, 53737, 73840, 53150, 50946, 51346, 51017, 51346, 50868, 51346, 51200, 63924, 53708, 50891, 65530, 51112, 54360, 50918, 51200, 58493, 53885, 51200, 68031, 50946, 51346, 51017, 51346, 50868, 73504, 53934, 65392, 50847, 67768, 51200, 52382, 56682, 66914, 53516, 50946, 51162, 51017, 51377, 50868, 51346, 50847, 60503, 53934, 50891, 54360, 53305, 53885, 50801, 59596, 51950, 58111, 51137, 63382, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53708, 56772, 51950, 50879, 56682, 74749, 61953, 51950, 51177, 62810, 51346, 51017, 51346, 50868, 73504, 53934, 50908, 65530, 51112, 50437, 51950, 50879, 54360, 55755, 61925, 52285, 53794, 50946, 51346, 51017, 51346, 50868, 51346, 51451, 63066, 53934, 65392, 50847, 67768, 51917, 51363, 50461, 51950, 50808, 56682, 55755, 57829, 51404, 52122, 51209, 51353, 50419, 51950, 62370, 51950, 56800, 50946, 51162, 51017, 51377, 50868, 51346, 50847, 60503, 52493, 61193, 52285, 72538, 51950, 50800, 54360, 53305, 65809, 51950, 60492, 50801, 61762, 52285, 65458, 51137, 63382, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53934, 57243, 51950, 50830, 56682, 55755, 63632, 51950, 53466, 50946, 51346, 51017, 51346, 50868, 51346, 52285, 57439, 53708, 50891, 65530, 51112, 54360, 65501, 59764, 51950, 54811, 51950, 57415, 50946, 51346, 51017, 51346, 50868, 51346, 52285, 50991, 51451, 53946, 53934, 69232, 50847, 67768, 51917, 51534, 56682, 50918, 51950, 53287, 58487, 51404, 51353, 50416, 51209, 53487, 50420, 51950, 54851, 50946, 51162, 51017, 51377, 50868, 51346, 74085, 52285, 67043, 53934, 50891, 54360, 53305, 59764, 52285, 50952, 50445, 52285, 55178, 51349, 63382, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53934, 69232, 53101, 51238, 53447, 50918, 52285, 61883, 53150, 50946, 51346, 50848, 51346, 50850, 51346, 51900, 51351, 50804, 53934, 50891, 67577, 51112, 57552, 50918, 51188, 50978, 51823, 51058, 51322, 50978, 51547, 51058, 51334, 55944, 59764, 51593, 53999, 50801, 53083, 50946, 51346, 50848, 51346, 50850, 73504, 53708, 69232, 50909, 51112, 50458, 51188, 51353, 51823, 51353, 51322, 51353, 51547, 51353, 51334, 51307, 50459, 51593, 51307, 53447, 55755, 63754, 51900, 57316, 50946, 76708, 51377, 50850, 51346, 50909, 51157, 53101, 68797, 53708, 50891, 54585, 57130, 59764, 53101, 60224, 50801, 60372, 53101, 67702, 51181, 63382, 76708, 51377, 72249, 50909, 60503, 53708, 63917, 51950, 51469, 52170, 51469, 56682, 55755, 58487, 52733, 51043, 62810, 51162, 51017, 51377, 50868, 51346, 74085, 51200, 54732, 53934, 62000, 52733, 51100, 54360, 51077, 51200, 54312, 62860, 51200, 67367, 52733, 68366, 50946, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53934, 53556, 51200, 51346, 50459, 52285, 51566, 51584, 51566, 56682, 55755, 63632, 52733, 51194, 50421, 51200, 55035, 50946, 51346, 51017, 51346, 50868, 73504, 53708, 50908, 65530, 51112, 50431, 52733, 51328, 50433, 51200, 51116, 54360, 53305, 61925, 51950, 54411, 51137, 60049, 51346, 51017, 51346, 50868, 51346, 51200, 50874, 52733, 69362, 53934, 69232, 69689, 50455, 51950, 59567, 51200, 78971, 51950, 50879, 56682, 55755, 61953, 51950, 51177, 62810, 51162, 51017, 51377, 50868, 51346, 50847, 60503, 53708, 58286, 51950, 50879, 54360, 65501, 61925, 52285, 53794, 50946, 51162, 51017, 51377, 50868, 51162, 74085, 51451, 63066, 53934, 53556, 51917, 51363, 50461, 51950, 50808, 56682, 55755, 57829, 51404, 52122, 51209, 51353, 50419, 52285, 62370, 51950, 56800, 50946, 51346, 51017, 51346, 50868, 73504, 53934, 50891, 65530, 51112, 50431, 52285, 72538, 51950, 50991, 54360, 53305, 53885, 50801, 61762, 52285, 65458, 51137, 63382, 51346, 51017, 51346, 50868, 73504, 53708, 69232, 69689, 50461, 51950, 50808, 56682, 66914, 63632, 52285, 62370, 51950, 56800, 50946, 51162, 51017, 51377, 50868, 51346, 50847, 60503, 53934, 62000, 52285, 72538, 51950, 50808, 54360, 65501, 62860, 52285, 62135, 51950, 55758, 50946, 51162, 51017, 51377, 50868, 51162, 74085, 51451, 53946, 53934, 63543, 52285, 58298, 51917, 51534, 56682, 50918, 51950, 61986, 57829, 51404, 51353, 50416, 51209, 53487, 62810, 51346, 51017, 51346, 50868, 51346, 52285, 67043, 53708, 50928, 65530, 51112, 54360, 53305, 59764, 53101, 60835, 50801, 60372, 52515, 55178, 51349, 51157, 50946, 51346, 51017, 51346, 50868, 73504, 53708, 69232, 69689, 51900, 51933, 53447, 50918, 75060, 52670, 50946, 76708, 51377, 50850, 51346, 50909, 60503, 53934, 50891, 57552, 50918, 51188, 50978, 51823, 51058, 51322, 50978, 51547, 51058, 51334, 55944, 59901, 51593, 53562, 50946, 76708, 51377, 72249, 50909, 60503, 53708, 61034, 51188, 51353, 51823, 51353, 51322, 51353, 51547, 51353, 51334, 51307, 50459, 51593, 51307, 53447, 55755, 63754, 51900, 57316, 50946, 51346, 50848, 51346, 50850, 51346, 53101, 68797, 53934, 50891, 67577, 51112, 54585, 57130, 59901, 53101, 60224, 50801, 60372, 53101, 67702, 51181, 60049, 51346, 50848, 51346, 50850, 73504, 53708, 69232, 50909, 51112, 50457, 51950, 51469, 52170, 51469, 56682, 55755, 58487, 52733, 51043, 62810, 51162, 51017, 51377, 50868, 51346, 74085, 51200, 54732, 53708, 62000, 52733, 51100, 54360, 51077, 51200, 54312, 62961, 51200, 67367, 52733, 68366, 50946, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53708, 53556, 51200, 51346, 50459, 52285, 51566, 51584, 51566, 56682, 65501, 64174, 52733, 51194, 50421, 51200, 55035, 50946, 51346, 51017, 51346, 50868, 73504, 53934, 50891, 65530, 51112, 50431, 52733, 51328, 50433, 51200, 51116, 54360, 50889, 58046, 53885, 58947, 53068, 51137, 63382, 51346, 51017, 51346, 50868, 51346, 51200, 50874, 52733, 69362, 53347, 69232, 69689, 56871, 58544, 51200, 50977, 56682, 50918, 52515, 56073, 52170, 56073, 61289, 52670, 50946, 51162, 51017, 51377, 50868, 51346, 50847, 60503, 53708, 50891, 54360, 51077, 51366, 76010, 61722, 51209, 64860, 50946, 51162, 51017, 51377, 50868, 51162, 50847, 60503, 53934, 54038, 51200, 52382, 50457, 51229, 51353, 56682, 55755, 61396, 52515, 51111, 52170, 51111, 62810, 51346, 51017, 51346, 50868, 73504, 53708, 50891, 65530, 51112, 50433, 51950, 50952, 51902, 50952, 54360, 50807, 52515, 50924, 52170, 59155, 53806, 51950, 50910, 51902, 58546, 53083, 51181, 60049, 51346, 51017, 51346, 50868, 51346, 52515, 50917, 52170, 58224, 53934, 69232, 69689, 50455, 51950, 50924, 51902, 76694, 52515, 50924, 52170, 50924, 53053, 50918, 51263, 52024, 50801, 64174 ]
[ 0, 250, 1144, 26016, 3495, 1619, 2214, 14, 7630, 6568, 6453, 9, 657, 8, 26545, 4, 20, 13305, 8, 6755, 12547, 185, 5, 483, 6, 7513, 30, 10, 18558, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 7212, 20889, 8, 278, 11, 5, 762, 9, 163, 428, 538, 6, 5, 33301, 30853, 18399, 81, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57333, 50799, 56457, 51471, 51570, 53083, 52261, 54594, 50967, 51197, 51538, 56363, 51241, 56040, 50955, 58783, 56209, 50906, 51241, 64057, 62214, 50956, 51174, 55881, 52392, 56363, 51391, 56040, 58191, 50871, 50940, 58365, 53794, 50997, 51412, 50456, 67136, 55881, 53174, 56363, 50943, 53337, 53961, 50871, 50917, 58365, 55758, 50997, 51411, 71136, 50955, 55881, 51685, 56363, 51178, 54439, 53860, 59285, 50997, 58991, 50965, 54411, 50906, 50940, 55694, 53531, 50288, 69033, 51197, 51364, 53523, 51828, 50300, 51167, 64551, 51116, 50876, 51603, 55513, 65295, 50965, 52643, 50900, 50886, 58439, 51364, 66650, 55440, 51001, 62531, 53695, 60373, 51001, 60159, 50965, 65615, 53886, 60216, 63459, 55694, 51173, 74174, 51234, 51290, 60284, 55640, 50997, 53193, 50956, 63835, 50844, 51147, 52599, 50871, 53086, 50965, 54208, 50876, 77228, 51147, 50813, 54662, 51518, 53502, 51103, 56040, 51134, 76567, 51480, 63808, 50972, 55694, 51060, 50956, 51141, 50861, 50983, 50997, 51218, 51197, 52392, 50415, 50906, 51343, 50421, 50876, 51100, 50428, 51001, 50805, 65281, 54137, 50956, 57631, 60597, 51191, 50439, 50951, 51016, 50451, 50876, 53702, 51197, 51896, 50458, 79281, 54206, 51091, 50871, 51362, 50861, 51091, 50906, 51161, 55898, 51172, 50861, 51645, 80238, 50906, 51244, 50456, 51234, 50795, 55694, 51101, 50997, 51134, 50906, 51552, 50956, 73327, 51417, 51197, 52500, 50421, 50876, 50893, 50427, 51001, 54729, 50997, 51542, 50433, 50876, 53913, 50951, 52530, 50307, 51241, 50906, 51191, 50861, 51189, 64057, 50907, 50876, 62034, 51197, 52069, 50457, 50906, 51413, 54206, 71883, 51362, 50861, 51091, 50906, 51894, 64574, 51274, 50861, 51343, 50906, 51356, 50456, 51197, 50854, 62856, 51160, 50900, 51290, 50871, 51300, 50965, 52512, 50876, 51661, 51050, 51352, 50423, 50951, 51043, 53523, 51423, 50430, 50951, 62408, 50931, 50948, 55203, 51162, 50871, 51291, 50965, 51446, 50876, 51661, 50439, 50931, 51552, 55895, 52034, 50456, 51050, 61818, 50873, 53975, 65901, 69020, 51343, 50965, 51472, 51197, 51407, 50415, 51147, 51505, 50421, 50951, 50807, 50433, 50931, 51358, 55203, 51411, 50871, 72868, 51218, 50876, 51218, 55895, 51884, 62856, 51167, 50871, 51218, 50965, 51141, 50876, 74886, 51397, 51360, 51352, 50422, 51081, 51048, 50433, 51147, 66144, 50951, 54123, 50900, 52059, 50876, 61581, 51191, 50965, 51351, 50931, 51103, 55895, 57131, 51085, 50948, 53975, 51203, 50956, 51204, 50965, 51204, 50906, 51218, 51234, 51161, 51526, 51585, 50856, 52611, 50415, 51147, 51192, 50856, 52611, 50416, 50856, 52445, 65659, 52445, 63173, 52445, 50419, 50856, 51693, 53158, 51693, 50421, 50856, 51306, 50422, 50951, 58253, 51306, 60729, 51306, 50424, 50856, 51258, 75457, 51258, 53523, 51535, 50856, 51129, 80211, 51129, 50428, 50931, 56255, 68536, 50856, 51004, 50430, 50856, 68460, 50856, 54354, 50956, 70946, 65975, 50856, 65627, 50951, 51159, 50856, 55762, 50856, 66640, 50856, 59445, 50856, 52958, 50965, 80153, 64481, 70291, 50440, 50856, 57502, 50856, 61118, 50856, 65672, 50856, 53594, 50906, 62241, 60479, 50931, 60095, 50863, 56576, 54284, 50856, 62749, 50856, 58510, 50856, 52743, 64304, 55298, 51534, 50856, 58351, 51001, 59384, 67099, 50856, 55423, 50856, 59699, 50856, 58677, 50856, 53017, 51001, 50933, 51234, 50987, 55301, 57594, 59036, 50876, 60095, 50834, 54820, 54991, 50856, 58077, 50856, 55971, 67475, 56178, 51121, 51197, 52369, 52585, 54300, 50856, 56813, 50906, 50893, 56363, 50983, 50421, 50876, 55341, 50956, 51111, 50427, 51001, 52309, 50871, 51100, 50433, 50876, 51058, 57267, 75208, 61726, 50997, 51124, 65851, 51103, 50451, 50876, 53586, 50997, 51025, 50457, 50906, 52536, 54206, 51178, 79270, 50871, 51124, 51197, 51585, 56363, 51310, 53337, 54975, 76885, 55298, 57014, 55301, 51055, 66626, 51233, 56279, 50870, 51234, 51025, 55298, 58705, 50997, 51233, 54594, 51121, 50906, 51328, 51197, 54055, 52585, 51469, 50415, 50906, 51072, 56363, 51241, 50421, 74650, 56040, 51121, 50427, 51001, 52309, 50871, 51362, 50433, 50876, 51646, 50997, 51178, 50439, 50931, 54790, 50951, 51775, 50444, 50906, 51977, 64057, 51417, 50451, 50876, 59562, 50899, 51417, 50458, 50906, 52208, 55881, 52017, 51533, 53435, 55961, 50991, 56759, 51391, 58296, 51412, 63808, 56027, 50997, 57554, 50956, 55143, 51923, 69653, 53975, 62054, 50991, 50965, 51226, 51050, 51795, 51132, 73010, 51147, 51160, 53502, 51103, 50424, 50951, 51060, 53645, 78224, 50951, 51628, 75977, 50434, 50931, 54930, 50861, 61187, 50931, 51552, 50444, 50965, 51221, 56415, 59562, 51050, 65090, 73725, 51312, 56807, 68916, 51112, 50965, 59391, 50807, 51197, 51795, 51533, 61912, 51147, 60581, 72038, 50951, 59006, 51110, 59409, 51356, 50931, 51009, 55203, 51477, 50444, 50965, 51013, 56415, 61327, 51197, 50921, 50457, 51147, 50824, 53975, 71125, 51354, 50965, 58835, 52530, 50293, 53174, 51957, 51795, 51783, 51307, 53599, 51894, 53502, 51134, 50421, 51081, 51016, 53645, 51110, 59409, 51343, 50433, 51147, 66766, 50951, 52729, 50900, 51542, 50439, 50931, 60865, 50965, 51221, 56415, 58298, 51085, 50940, 50876, 50893, 51338, 50938, 52143, 50849, 53975, 50940, 50956, 51215, 50965, 51238, 50906, 52530, 50290, 51300, 51727, 51009, 51986, 51103, 52602, 51307, 51299, 51307, 51426, 51307, 51375, 51307, 50415, 51147, 52410, 50900, 51391, 50421, 50951, 53466, 50956, 70846, 50931, 55214, 50965, 64458, 51147, 51735, 55203, 50830, 51234, 50976, 50956, 51215, 50965, 51215, 50906, 51290, 51526, 51300, 51722, 52903, 51224, 54586, 50900, 51480, 51224, 67562, 51081, 55260, 66461, 50951, 50923, 51289, 52193, 51234, 71389, 51054, 55435, 51454, 50906, 51343, 50956, 51761, 50861, 51343, 51197, 51352, 51533, 51352, 52481, 51894, 51638, 51307, 51426, 51307, 51088, 51307, 71329, 54892, 51001, 51196, 56759, 51172, 63808, 60821, 51204, 50861, 51091, 55737, 54586, 50906, 51460, 64057, 50878, 50951, 50802, 52585, 51370, 52579, 51120, 52545, 50321, 50824, 51684, 50923, 52371, 53834, 50839, 53975, 51354, 51085, 69382, 51226, 50861, 51573, 50876, 51059, 51416, 51009, 52143, 51103, 51088, 51103, 51299, 51307, 51426, 51307, 52924, 56051, 51001, 50879, 53523, 63269, 50893, 70767, 50931, 53663, 50900, 51290, 50956, 51226, 50965, 51226, 50876, 51573, 51503, 51745, 51602, 51009, 53623, 51103, 52777, 54586, 51001, 66070, 50931, 51370, 56782, 50900, 55835, 50931, 51016, 55435, 61895, 51100, 50871, 50967, 50906, 51354, 51234, 53435, 51526, 51795, 52602, 51307, 51638, 51307, 51251, 51307, 51154, 51307, 51320, 56051, 50997, 59123, 51977, 53523, 51110, 51983, 58296, 55467, 50871, 51626, 50898, 54586, 50997, 65295, 50906, 67782, 51048, 52008, 50456, 50871, 63947, 50795, 51727, 50823, 62856, 53194, 50304, 50991, 50956, 51745, 50965, 51745, 50906, 51542, 51234, 51407, 51727, 51352, 52602, 51307, 51299, 51307, 51426, 51307, 51375, 51307, 51320, 56051, 50951, 51631, 51147, 53194, 50304, 51134, 76372, 50951, 69382, 51204, 50804, 53219, 50965, 75037, 51573, 50804, 54586, 50931, 60858, 52568, 50956, 50891, 50900, 70155, 51388, 51526, 51072, 51289, 52193, 51234, 68543, 52299, 50837, 55435, 50991, 50956, 51745, 50861, 51362, 50906, 51091, 51197, 51352, 51533, 51352, 52481, 51307, 51638, 51307, 51426, 51307, 51088, 67841, 52885, 54892, 51001, 51870, 56759, 51097, 51842, 64551, 51221, 63808, 51016, 52777, 54586 ]
[ 0, 250, 2635, 12, 20764, 15855, 19834, 2125, 11, 274, 3694, 6, 4246, 17035, 873, 2401, 6, 6755, 12547, 6, 2342, 4467, 6, 30062, 620, 7085, 12280, 642, 6, 8, 1515, 21305, 6, 2351, 41, 9066, 8, 25306, 5466, 19, 17878, 9, 15073, 8, 26545, 6, 20307, 149, 10, 33215, 13931, 9, 230, 6, 230, 119, 406, 6, 230, 10431, 6, 230, 6, 8, 230, 119, 406, 624, 63, 765, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57448, 50799, 50665, 50309, 51009, 50711, 50273, 51184, 55840, 51184, 50438, 52316, 50824, 51638, 50824, 51426, 54145, 51699, 50824, 51299, 77105, 50824, 50799, 53148, 51184, 51794, 51184, 51491, 51184, 50799, 50665, 50309, 51009, 50711, 50273, 51184, 55840, 51184, 50438, 52316, 50824, 51638, 50824, 51426, 54145, 51699, 50824, 51299, 77105, 50824, 50799, 53148, 51184, 51794, 51184, 51165, 51184, 50438, 62796, 61746, 50697, 50293, 55092, 64091, 60869, 56265, 52940, 56837, 57915, 55052, 55059, 53267, 57795, 54361, 52768, 54895, 62161, 54428, 55552, 56976, 59730, 64156, 50811, 50799, 50665, 50309, 51009, 50711, 50273, 51184, 55840, 51184, 50438, 52316, 50824, 51638, 50824, 51426, 54145, 51699, 50824, 51299, 77105, 50824, 50799, 53148, 51184, 51794, 51184, 51491, 51184, 50799, 50665, 50309, 51009, 50711, 50273, 51184, 55840, 51184, 50438, 52316, 50824, 51638, 50824, 51426, 54145, 51699, 50824, 51299, 77105, 50824, 50799, 53148, 51184, 51794, 51184, 51165, 51184, 50799, 50711, 50285, 51029, 51299, 51029, 51375, 51029, 55791, 61511, 50711, 50283, 51029, 51299, 51029, 51088, 51029, 51093, 51029, 56815, 65027, 50711, 50279, 51029, 52065, 51029, 51426, 51029, 51375, 51029, 51357, 51029, 60630, 51029, 52591, 50711, 50278, 51029, 51426, 51029, 51491, 51029, 51165, 51029, 51395, 50993, 55478, 51029, 50429, 51201, 61445, 50711, 50273, 51029, 51154, 51029, 51375, 51029, 51093, 51029, 51629, 51029, 55840, 68174, 50711, 50275, 51029, 51088, 51029, 51093, 51029, 51304, 51029, 55527, 51029, 50457, 51395, 51029, 55746, 50711, 50276, 51029, 51375, 51029, 51357, 51029, 51395, 51029, 51558, 51029, 57980, 62001, 50711, 50278, 51029, 51165, 51029, 51600, 51029, 51394, 51029, 51811, 50993, 55478, 51029, 50453, 51690, 50993, 50799, 50665, 50309, 50824, 50711, 50273, 51184, 50694, 50273, 74899, 51088, 50811, 51357, 50811, 51579, 58459, 51088, 50811, 51357, 50811, 51579, 57485, 51088, 50811, 51357, 50811, 51579, 52952, 67913, 51357, 50803, 51579, 52284, 51154, 50803, 51113, 50803, 51509, 52116, 67913, 51357, 50803, 51579, 52163, 51375, 75889, 50803, 52264, 50803, 50799, 50711, 50278, 51184, 51165, 51184, 51107, 51184, 66167, 51184, 52336, 74899, 67966, 50811, 54809, 58459, 67966, 50811, 54809, 57485, 67966, 50811, 54809, 52952, 67966, 50803, 54809, 52284, 78314, 50803, 57624, 52116, 67966, 50803, 54809, 52163, 57624, 50803, 55830, 50803, 50799, 50711, 50278, 51184, 58988, 51184, 65754, 51184, 75959, 50824, 57789, 50824, 53124, 54107, 56008, 50802, 57789, 50811, 53124, 58459, 57789, 50811, 53124, 52726, 69256, 59898, 57789, 50811, 53124, 52952, 72131, 51009, 57789, 51009, 53124, 51009, 50799, 50711, 50276, 51184, 65754, 51184, 77346, 51184, 57789, 50824, 54120, 54226, 50694, 50336, 50802, 54051, 52038, 50694, 50334, 50802, 57789, 50811, 54120, 50811, 53598, 71692, 57789, 50811, 54120, 52726, 50694, 50332, 50802, 52433, 59898, 57789, 50811, 54120, 52952, 50694, 50329, 50824, 52604, 50824, 57789, 51009, 54120, 70851, 50694, 50331, 50802, 52480, 52325, 50694, 50332, 50802, 52433, 50802, 50799, 50711, 50285, 51184, 63547, 51184, 61714, 51184, 50694, 50328, 50802, 57624, 50860, 53124, 50860, 51673, 52410, 75959, 50802, 57624, 50860, 53124, 50860, 51686, 52038, 50694, 50333, 51352, 57624, 51352, 53124, 51352, 52171, 51352, 50799, 50711, 50285, 51184, 63547, 51184, 77346, 51184, 70523, 51009, 50694, 50328, 50802, 51673, 50802, 53124, 51029, 57624, 61912, 50694, 50324, 50802, 52251, 52038, 69256, 51029, 51606, 61511, 53124, 52125, 72843, 50824, 53320, 53681, 69256, 50802, 51606, 52175, 70523, 50824, 69256, 50824, 56008, 50802, 51565, 50802, 53124, 54098, 50694, 50324, 50802, 52251, 50802, 50799, 50711, 50280, 51184, 65883, 51184, 70523, 51009, 56008, 50802, 51565, 50802, 52182, 51029, 55830, 61912, 72843, 50802, 52161, 52038, 50694, 50328, 51352, 51673, 66613, 52182, 52125, 72843, 50824, 52315, 54145, 70523, 50824, 52182, 50824, 50799, 50711, 50280, 51732, 50694, 50310, 51009, 68264, 50802, 69376, 50802, 52083, 50802, 54809, 51009, 54027, 57214, 68264, 50802, 51596, 52038, 68264, 50824, 50694, 50328, 51732, 51673, 51732, 50438, 63547, 51009, 72131, 51009, 57789, 51009, 53124, 51009, 50799, 52566, 50811, 62844, 51732, 70523, 51732, 57624, 51732, 54120, 51732, 50416, 53260, 55804, 54895, 60861, 53647, 53213, 55802, 57646, 64156, 54381, 55802, 58099, 53647, 52968, 54895, 61347, 53260, 54935, 52566, 58221, 53260, 52726, 54895, 57485, 53647, 54496, 55802, 57784, 64156, 52952, 55802, 61746, 53647, 55092, 54895, 60869, 53260, 52940, 52566, 57915, 53260, 55059, 54895, 57795, 53647, 52768, 55802, 62161, 64156, 55552, 55802, 59730, 53647, 52884, 54895, 58150, 53260, 54871, 52566, 56628, 53260, 50811, 50799, 54895, 62601, 53647, 55804, 55802, 60861, 64156, 53213, 55802, 57646, 53647, 54381, 54895, 58099, 53260, 52968, 52566, 61347, 53260, 54935, 54895, 58221, 53647, 52726, 55802, 57485, 64156, 54496, 55802, 57784, 53647, 52952, 54895, 61746, 53260, 55092, 52566, 60869, 53260, 52940, 54895, 57915, 53647, 55059, 55802, 57795, 64156, 52768, 55802, 62161, 53647, 55552, 54895, 59730, 53260, 52884, 52566, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 1619, 2214, 14, 28337, 4785, 9, 3495, 8, 15855, 930, 6, 4246, 10, 17691, 28430, 816, 5, 33301, 6, 7513, 30, 41, 21979, 9590, 6, 3459, 8669, 6, 10170, 1499, 6, 8, 21072, 4, 20, 2125, 16, 278, 11, 230, 538, 19, 10, 132, 73, 306, 86, 6543, 8, 11498, 41, 12447, 1001, 20889, 1328, 4, 20, 33215, 16739, 9, 272, 6, 211, 406, 6, 272, 6, 230, 6, 8, 272, 73, 495, 3639, 7, 5, 2214, 18, 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 ]
[ 77669, 51057, 51098, 50857, 54063, 50862, 63768, 50887, 51256, 50829, 51209, 50835, 51590, 50836, 51390, 50818, 52330, 50813, 51666, 50836, 51871, 53303, 56850, 56423, 55394, 51098, 50862, 54063, 50873, 63768, 50805, 51256, 50834, 51209, 50839, 51590, 50890, 51390, 50818, 52330, 50812, 51666, 50808, 51871, 52972, 55071, 52873, 54937, 52515, 50855, 52857, 55310, 54063, 50836, 57489, 59948, 52857, 50840, 51057, 51150, 50840, 63768, 50846, 51366, 50840, 51334, 50818, 73020, 51908, 50836, 51871, 53303, 55296, 51559, 54507, 51150, 50859, 52857, 50830, 63768, 50830, 51366, 50887, 51209, 50887, 51334, 50880, 51531, 76315, 50910, 51871, 56411, 52634, 52675, 54053, 54063, 50862, 53993, 56788, 57489, 50862, 52857, 61868, 53993, 50855, 51057, 51273, 50845, 57501, 50828, 51590, 50813, 51390, 50829, 51666, 53351, 60291, 51000, 53884, 50420, 51493, 50937, 52857, 50836, 57489, 50855, 51590, 50855, 51390, 50820, 51908, 52411, 54327, 55181, 53383, 51140, 50795, 54063, 50836, 53993, 50855, 51256, 50846, 51209, 50809, 51590, 50887, 51390, 50884, 51691, 52972, 54546, 51559, 58607, 52939, 53695, 51705, 50795, 52515, 50836, 52857, 50836, 51256, 50890, 51209, 50887, 51590, 50880, 51390, 54162, 54690, 53340, 50890, 51057, 51098, 50921, 54063, 50855, 51950, 50812, 71672, 51209, 50809, 51590, 50962, 51390, 50962, 51871, 51747, 54898, 52207, 50930, 77669, 52824, 50943, 51950, 65177, 50630, 50420, 50630, 50423, 50630, 50426, 50629, 52515, 50915, 51784, 50943, 50429, 50629, 50432, 50629, 50435, 50629, 69434, 51900, 50943, 54063, 65177, 50628, 50420, 50628, 50423, 50628, 50426, 50627, 52285, 50943, 52857, 50915, 51057, 51802, 50943, 53993, 55382, 52285, 50943, 52857, 51351, 51057, 51900, 51003, 54063, 58299, 52515, 51003, 51784, 51003, 51057, 51950, 51353, 50415, 52824, 51353, 51038, 77669, 51057, 51098, 50910, 71672, 51590, 50894, 52004, 50962, 51390, 54451, 52634, 56717, 75407, 50816, 51550, 57671, 51851, 50435, 52285, 50813, 52285, 55071, 78573, 51950, 54384, 61562, 51950, 55459, 50870, 51057, 51150, 50987, 52857, 50818, 57489, 50828, 51451, 59872, 50959, 52470, 50415, 52619, 50829, 51531, 50857, 51994, 53299, 52857, 50840, 57489, 50809, 51366, 50855, 51209, 50887, 51334, 52634, 54225, 64355, 51994, 50855, 51531, 50836, 52619, 53901, 51098, 50892, 52857, 50967, 52619, 50987, 51994, 50987, 51531, 61221, 53156, 51128, 50427, 57489, 56632, 51366, 50884, 51209, 50884, 51334, 52538, 54220, 55310, 52285, 50862, 52285, 62517, 51950, 59948, 51950, 50862, 51057, 51150, 50977, 54063, 52411, 54225, 51319, 50415, 53993, 52432, 54063, 50840, 51366, 50818, 51209, 50818, 51334, 50846, 52330, 50886, 51994, 56450, 54220, 63630, 53993, 53425, 51098, 51058, 54063, 59103, 55336, 51128, 50427, 53993, 54725, 51366, 50884, 51209, 50884, 51334, 53404, 53065, 56788, 52285, 50855, 52285, 62439, 51950, 61169, 51950, 50813, 51057, 51150, 51121, 52515, 50828, 52857, 52816, 51006, 53842, 50420, 51366, 50884, 51209, 50818, 51334, 50818, 52619, 50834, 66364, 51994, 53889, 50857, 52558, 50421, 52285, 56076, 52285, 50855, 51950, 70884, 51950, 62370, 53993, 53855, 51984, 50977, 54063, 54200, 53111, 57959, 51930, 50892, 52515, 50840, 52857, 50836, 51366, 50895, 51209, 50841, 51334, 50818, 52619, 50839, 60839, 51994, 54200, 55459, 51559, 50864, 51057, 51389, 50845, 52515, 50855, 52857, 53351, 52938, 51128, 50416, 54063, 50827, 53993, 50874, 50418, 52515, 50857, 52857, 68649, 52330, 54475, 51098, 50862, 51950, 50813, 54063, 50862, 51912, 50813, 51322, 50884, 51256, 50818, 51209, 50846, 51994, 50820, 52498, 54946, 52217, 54818, 51098, 50812, 51950, 50836, 54063, 50812, 51912, 50890, 51322, 50961, 71672, 51209, 50883, 52330, 50855, 51994, 50862, 52498, 52923, 52634, 52675, 55632, 51802, 62517, 51802, 59921, 51950, 50857, 51950, 50854, 51057, 51668, 50866, 54063, 50841, 52330, 50813, 51994, 50834, 52498, 54902, 54225, 51128, 50415, 53993, 52432, 54063, 50855, 53993, 50840, 51912, 50857, 51322, 50834, 51256, 50839, 52330, 50855, 52498, 50834, 51994, 54382, 50864, 69717, 51098, 50805, 53993, 50938, 54063, 51110, 52330, 50866, 51994, 60623, 55999, 70001, 52498, 57018, 51912, 50839, 51322, 50846, 51256, 50818, 51209, 53500, 50857, 52558, 50434, 51802, 56000, 51802, 61170, 51950, 59948, 51950, 50813, 51057, 51389, 50917, 52857, 50846, 52515, 50855, 52498, 50863, 51873, 50837, 51531, 54880, 52854, 55772, 52515, 50836, 52857, 50840, 51256, 50829, 51229, 50829, 51390, 50840, 52498, 50867, 51873, 50813, 51531, 53396, 53065, 53425, 51793, 50857, 52857, 50795, 52515, 51124, 52498, 51058, 51873, 50987, 51531, 59810, 53330, 56693, 51256, 50846, 51229, 50828, 51390, 53500, 53340, 60085, 51802, 56529, 51802, 63120, 51950, 63443, 51950, 50813, 51057, 52078, 50849, 51900, 50841, 54063, 53852, 61098, 55650, 51793, 50845, 51802, 50855, 51322, 50820, 51256, 50820, 51209, 50828, 51590, 53683, 52873, 61291, 52515, 55754, 51950, 50862, 54063, 64783, 52515, 50855, 52857, 54156, 51984, 50845, 52330, 50971, 51994, 56240, 55325, 55487, 51389, 50937, 51950, 50809, 54063, 50836, 51322, 50890, 51256, 50884, 51209, 50895, 51590, 50841, 52330, 56533, 53340, 50840, 51057, 51150, 50942, 51802, 50855, 52515, 52923, 52217, 75245, 51950, 50874, 54063, 63301, 51802, 64685, 52515, 68649, 52285, 50855, 51531, 50862, 51994, 50835, 52619, 52944, 51098, 50859, 51950, 50839, 51366, 50839, 51209, 50846, 51334, 52816, 54690, 52217, 67415, 52619, 50813, 51994, 50855, 51531, 54156, 51150, 50859, 52285, 50841, 51950, 50841, 51366, 50880, 51209, 50930, 51334, 53690, 55531, 51421, 67631, 52285, 55459, 52462, 50434, 52285, 54690, 52514, 57177, 51129, 50436, 51950, 50813, 51950, 55459, 66643, 50816, 50908, 51057, 74596, 57489, 50812, 52857, 56001, 60162, 55147, 50368, 52094, 52734, 51366, 50828, 51209, 50818, 51334, 53404, 51373, 64729, 52285, 60892, 51950, 54156, 51668, 50914, 53993, 50812, 54063, 55530, 52938, 54854, 51366, 50818, 51209, 50884, 51334, 53404, 53340, 59093, 52285, 55782, 51950, 50862, 75041, 51159, 52857, 50812, 52515, 77777, 53330, 55772, 51366, 50884, 51209, 50884, 51334, 53404, 52217, 61291, 52285, 55081, 51950, 61823, 54063, 55640, 51098, 50943, 51950, 55530, 55690, 55487, 51366, 50818, 51209, 50884, 51334, 54382, 52217, 63937, 52285, 56788, 51950, 58572, 52857, 50910, 51057, 51493, 50937, 52515, 58955, 53199, 54819, 51461, 50805, 51366, 50884, 51209, 50884, 51334, 53500, 52873, 64729, 52285, 56076, 51950, 54156, 51273, 50873, 52857, 50840, 52285, 55998, 52854, 67393, 53993, 53695, 51493, 50873, 51950, 50901, 51366, 50895, 51209, 50895, 51334, 50834, 52619, 50863, 51994, 50870, 51531, 54946, 52873, 62089, 52857, 62439, 54063, 50862, 51057, 51140, 50873, 51802, 51056, 52515, 51159, 51873, 50867, 52498, 50863, 51531, 56630, 53340, 58387, 51461, 50795, 51256, 50884, 51229, 50883, 51334, 50818, 52498, 50820, 51873, 50839, 51531, 54382, 52873, 53548, 51140, 50808, 51256, 50884, 51229, 50961, 51334, 50884, 52498, 50833, 51531, 50808, 51873, 52972, 54015, 52675, 67980, 51802, 59890, 52515, 55459, 52462, 50435, 52515, 55071, 52134, 50436, 52857, 54690, 74896, 76060, 51057, 51140, 50917, 57501, 50841, 52515, 53303, 53825, 58810, 54336, 55869, 57501, 50809, 51256, 50818, 51229, 50895, 51334, 50818, 51531, 50813, 52498, 50867, 51873, 54546 ]
[ 0, 250, 2635, 12, 20764, 6, 15352, 30054, 3495, 2125, 14, 7630, 6568, 10, 19448, 1619, 5466, 6, 4246, 10, 13305, 483, 7513, 30, 31391, 1672, 9590, 6, 7304, 4627, 6, 8, 36075, 8669, 6, 70, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 20307, 149, 10, 651, 9, 40286, 217, 230, 6, 3676, 6, 1918, 6, 211, 119, 406, 6, 8, 272, 81, 5, 768, 9, 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, 0, 0, 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, 50796, 52894, 51091, 51476, 51535, 51303, 51535, 51249, 51535, 51327, 51535, 50727, 50309, 51680, 50435, 51132, 53813, 51132, 76623, 51476, 55437, 51303, 56711, 51533, 50813, 51249, 60864, 51374, 50855, 52894, 51351, 51476, 51535, 51303, 51535, 51249, 51535, 51327, 51535, 50727, 50309, 51680, 50435, 51132, 53894, 51132, 76623, 51476, 55437, 51303, 56711, 51338, 50855, 51249, 60864, 51640, 50862, 52894, 51204, 51476, 51535, 51303, 51535, 51249, 51535, 51327, 51535, 70210, 51381, 50435, 51132, 53574, 51132, 51241, 50727, 50318, 68324, 50727, 50321, 68590, 51132, 56249, 51338, 50862, 53447, 51294, 51410, 51535, 51303, 51535, 51249, 51535, 51457, 51535, 74854, 51680, 50435, 51181, 53894, 51181, 64966, 51410, 55437, 51303, 56711, 51338, 50855, 51249, 60864, 51857, 50862, 55556, 51294, 51410, 51535, 51303, 51535, 51414, 51535, 51457, 51535, 70210, 51381, 50435, 51727, 50813, 57124, 51294, 50727, 50318, 68324, 50727, 50321, 68590, 51727, 56132, 51857, 50862, 54309, 51091, 51476, 51535, 51465, 51535, 51231, 51535, 50727, 50323, 51381, 50435, 51338, 50855, 54683, 51241, 50727, 50321, 72379, 51476, 55437, 51465, 50974, 50727, 50323, 68590, 51338, 50836, 51231, 60864, 54311, 50857, 55556, 51241, 52303, 51535, 52102, 51535, 51303, 51535, 51414, 51535, 50727, 50326, 51381, 50435, 51727, 50862, 57124, 51294, 50444, 52303, 54323, 52102, 50981, 51303, 50981, 51414, 50981, 50727, 50324, 68590, 51349, 57400, 51602, 50862, 53053, 51204, 52690, 51535, 51410, 51535, 51231, 51535, 51672, 51535, 51457, 51535, 50727, 50323, 51381, 50435, 51181, 53891, 51137, 51204, 50727, 50321, 72379, 51410, 55437, 51231, 50974, 50727, 50319, 68590, 51684, 50862, 51672, 60864, 51181, 50855, 52894, 51294, 51476, 51535, 51303, 51535, 51249, 51535, 51327, 51535, 50727, 50321, 51680, 50435, 51338, 53894, 51132, 51241, 50444, 51476, 55437, 51303, 56711, 51533, 50836, 51249, 60864, 51374, 50836, 52894, 51351, 53075, 51535, 51476, 51535, 51303, 51535, 51249, 51535, 50435, 51132, 53891, 51132, 51191, 50456, 51338, 56132, 51374, 50813, 52894, 51204, 51476, 51535, 51303, 51535, 51249, 51535, 51144, 59834, 51232, 54202, 51144, 55470, 51232, 53272, 51144, 56626, 51132, 50866, 51232, 55643, 51144, 56180, 51132, 51204, 50441, 51232, 54394, 51476, 50972, 51144, 56197, 51232, 53996, 51303, 50974, 51144, 57131, 51132, 50977, 51249, 50905, 51099, 50933, 53447, 51091, 51410, 51535, 51303, 51535, 51249, 51535, 51099, 59834, 51144, 54202, 51198, 51381, 50432, 51181, 58020, 51181, 51204, 50444, 51410, 55437, 51303, 56711, 51181, 50917, 51249, 50905, 55556, 51294, 52303, 51535, 51410, 51535, 51303, 51535, 51414, 51535, 51119, 61378, 51308, 55656, 51119, 56626, 51727, 50937, 51198, 50933, 57124, 51294, 51099, 51381, 50444, 52303, 54323, 51410, 50981, 51303, 50981, 51414, 58667, 51727, 50938, 54309, 51091, 51465, 51535, 51231, 51535, 51414, 51535, 51327, 51535, 51119, 61378, 51308, 55656, 51119, 56789, 51119, 56626, 51338, 50866, 54683, 51204, 51099, 68590, 51338, 50866, 52894, 51204, 53075, 51535, 51476, 51535, 51303, 51535, 51249, 51535, 51327, 51535, 51144, 59834, 51232, 54202, 51144, 55470, 51232, 53272, 51144, 56626, 51132, 50866, 51232, 55643, 51144, 56180, 51132, 51191, 50441, 51232, 54394, 51144, 56197, 51232, 53996, 51144, 57131, 51132, 50977, 51099, 50933, 53447, 51204, 51410, 51535, 51303, 51535, 51249, 51535, 51457, 51535, 51099, 59834, 51144, 54202, 51198, 51381, 50432, 51181, 58346, 51181, 64966, 51410, 55437, 51303, 56711, 51181, 50987, 51249, 50905, 55556, 51204, 52303, 51535, 51410, 51535, 51303, 51535, 51414, 51535, 51119, 61378, 51308, 55656, 51119, 56626, 51727, 50866, 51198, 50933, 57124, 51191, 51099, 51381, 50456, 51727, 50917, 54309, 51241, 51476, 51535, 51465, 51535, 51231, 51535, 51414, 51535, 51327, 51535, 51119, 61378, 51308, 55656, 51119, 56789, 51119, 55665, 51338, 50938, 54683, 51191, 51099, 72379, 51476, 54323, 51465, 50981, 51231, 50981, 51414, 50981, 51327, 50981, 51119, 57131, 51338, 50977, 51099, 50933, 55556, 51241, 51410, 50978, 51303, 50978, 51414, 50978, 51457, 50978, 51144, 70152, 52303, 54335, 51410, 55378, 51727, 50977, 52303, 51058, 51410, 51058, 51303, 51058, 51414, 51058, 51099, 50933, 54683, 51241, 51476, 50978, 51465, 50978, 51231, 50978, 51414, 50978, 51327, 50978, 51099, 72379, 51476, 54323, 51465, 57092, 51338, 50866, 51465, 51058, 51231, 51058, 51414, 51058, 51327, 51058, 51280, 50933, 52894, 51294, 51476, 51448, 51303, 51448, 51249, 51448, 51327, 51448, 51119, 73911, 51099, 56626, 51132, 50977, 51119, 56180, 51181, 51191, 51410, 50978, 51303, 50978, 51249, 50978, 51457, 50978, 51144, 72379, 53655, 54323, 51410, 57092, 51181, 50917, 51410, 51058, 51303, 51058, 51249, 51058, 51457, 51058, 55556, 51294, 51410, 51448, 51303, 51448, 51414, 51448, 51457, 51448, 51144, 61378, 51144, 55470, 51144, 53052, 51727, 50917, 51119, 50933, 57124, 51191, 52102, 50978, 51303, 50978, 51414, 50978, 52109, 50978, 51099, 72379, 52303, 55437, 52102, 50974, 51099, 57131, 51727, 50937, 51303, 50972, 51144, 50933, 54309, 51191, 51476, 51535, 51465, 51535, 51231, 51535, 51414, 51535, 51327, 51535, 51280, 70402, 51338, 50987, 54683, 51241, 50444, 51476, 54323, 51465, 50981, 51231, 50981, 51414, 50981, 51327, 58667, 51338, 50917, 52894, 51241, 51476, 51535, 51303, 51535, 51249, 51535, 51327, 51535, 51119, 59834, 51099, 54202, 51119, 55470, 51099, 53272, 51119, 56626, 51132, 50937, 51099, 55643, 51153, 54498, 51132, 51294, 50444, 51476, 55437, 51303, 56711, 51132, 50937, 51249, 50905, 51280, 50933, 54468, 51204, 52326, 51448, 51476, 51448, 51465, 51448, 51249, 51448, 51232, 70402, 51349, 50937, 51144, 56180, 51181, 51191, 53655, 50978, 51410, 50978, 51303, 50978, 51249, 50978, 51457, 50978, 51198, 68324, 51410, 63044, 77773, 51303, 51174, 53053, 51204, 52690, 51535, 51303, 51535, 51231, 51535, 51414, 51535, 51457, 51535, 51308, 59834, 51119, 54202, 51308, 55470, 51119, 53272, 51308, 56626, 51137, 50938, 51119, 55643, 51275, 54498, 51137, 76623, 52690, 54323, 51303, 50981, 51231, 50981, 51414, 50981, 51457, 58667, 51137, 50977, 51198, 50933, 54309, 51091, 51476, 51535, 51303, 51535, 51231, 51535, 51144, 70402, 51338, 50987, 51099, 50933, 54683, 51191, 51232, 72379, 51476, 54323, 51476, 50981, 51303, 50981, 51231, 50981, 51327, 58667, 51338, 50987, 52894, 51294, 53075, 51535, 51476, 51535, 51303, 51535, 51249, 51535, 51119, 59834, 51099, 54202, 51119, 55470, 51099, 53272, 51119, 56626, 51132, 50866, 51099, 55643, 51153, 54498, 51132, 51294, 50444, 53075, 54323, 51476, 50981, 51303, 50981, 51249, 58667, 51132, 50917, 51280, 50933, 54468, 51091, 51476, 50978, 51465, 50978, 51249, 50978, 51232, 70152, 52326, 54335, 51476, 55378, 51349, 50866, 52326, 51058, 51476, 51058, 51465, 51058, 51249, 51058, 51327, 51058, 51144, 56180, 51181, 51204, 51410, 50978, 51303, 50978, 51249, 50978, 51457, 50978, 51198, 68324, 51410, 63044, 51181, 50977, 51303, 51174, 53053, 51204, 51303, 51535, 51231, 51535, 51414, 51535, 51457, 51535, 51308, 59834, 51119, 54202, 51308, 55470, 51119, 53272, 51308, 56626, 51137, 50917, 51119, 55643, 51275, 54498, 51137, 64966, 52690, 54323, 52690, 50981, 51303, 50981, 51231, 50981, 51414, 50981, 51457, 58667, 51137, 50977, 51198, 50933, 54309, 51294, 51476 ]
[ 0, 250, 13363, 28191, 11739, 9, 15855, 8, 5175, 4785, 6, 42, 2214, 16, 278, 11, 10, 20902, 231, 73, 398, 86, 6543, 8, 10902, 10, 182, 1769, 20889, 4, 20, 25044, 139, 10170, 1499, 6, 24896, 6, 8, 2342, 4467, 185, 4072, 981, 5, 33301, 6, 150, 5, 3741, 27374, 594, 8, 38668, 9590, 694, 10, 2705, 4811, 4, 590, 10, 16331, 33215, 16739, 9, 3676, 6, 272, 119, 1176, 406, 6, 8, 211, 73, 597, 10431, 6, 24, 7630, 6568, 10, 1472, 9, 26545, 8, 16, 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 ]
[ 51540, 50640, 51236, 52728, 51236, 50807, 51540, 51236, 52728, 51236, 50807, 50483, 52682, 50800, 51540, 50642, 52521, 52910, 52521, 52424, 52521, 52728, 52130, 60773, 52521, 59369, 52130, 50807, 51540, 52521, 52910, 52521, 52424, 52130, 52728, 51967, 60773, 53122, 59369, 52682, 50807, 50483, 52682, 50800, 51540, 52521, 52910, 52521, 52424, 52521, 52728, 52130, 60773, 52521, 59369, 52130, 50807, 51540, 51951, 52910, 53058, 52424, 52130, 52728, 51967, 60773, 53122, 59369, 52682, 50807, 50483, 52682, 50800, 51540, 52521, 52910, 52521, 52424, 52521, 52728, 52130, 60773, 52521, 59369, 52130, 50807, 51540, 52521, 52910, 52521, 52424, 52130, 52728, 51967, 60773, 53122, 59369, 52682, 50807, 50483, 53122, 50800, 51540, 52064, 52910, 53122, 52424, 52064, 52728, 53122, 60773, 52064, 59369, 51967, 50807, 51540, 52130, 52910, 51967, 52424, 52064, 52728, 53122, 60773, 52521, 59369, 52682, 50807, 50483, 52682, 50800, 51540, 52521, 50807, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50426, 52521, 52424, 52521, 52728, 52130, 60773, 52521, 59369, 52130, 50807, 51540, 52521, 52910, 52521, 52424, 52130, 52728, 51967, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 51995, 51161, 50462, 53122, 59369, 52682, 50807, 50483, 52682, 50800, 51540, 52521, 50807, 53854, 52045, 52724, 52045, 52760, 52045, 52475, 52045, 50426, 52521, 52424, 52521, 52728, 52130, 60773, 52521, 59369, 52130, 50807, 51540, 51951, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 52645, 52045, 50426, 53058, 52424, 52130, 52728, 51967, 60773, 53122, 59369, 52682, 50807, 50483, 52682, 50800, 51540, 52521, 50807, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50426, 52521, 52424, 52521, 52728, 52130, 60773, 52521, 59369, 52130, 50807, 51540, 52521, 52910, 52521, 52424, 52130, 52728, 51967, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 54076, 51161, 50462, 53122, 59369, 52682, 50807, 50483, 53122, 50800, 51540, 52064, 50807, 53874, 52045, 52724, 52045, 52760, 52045, 52713, 52045, 50426, 53122, 52424, 52064, 52728, 53122, 60773, 52064, 59369, 51967, 50807, 51540, 52130, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 54076, 52045, 50426, 51967, 52424, 52064, 52728, 53122, 60773, 52521, 59369, 52682, 50807, 50483, 51967, 50800, 51540, 52130, 50807, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50426, 52142, 52424, 52142, 52728, 53020, 60773, 52142, 59369, 52142, 50807, 51540, 53258, 52910, 52142, 52424, 52142, 52728, 53020, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 52645, 51161, 50462, 52142, 59369, 51951, 50807, 50483, 51967, 50800, 51540, 52130, 50807, 53854, 52045, 52724, 52045, 52760, 52045, 52475, 52045, 50426, 52142, 52424, 52142, 52728, 53020, 60773, 52142, 59369, 52142, 50807, 51540, 53020, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 51995, 52045, 50426, 53258, 52424, 52780, 52728, 53020, 60773, 52142, 59369, 51951, 50807, 50483, 51967, 50800, 51540, 52130, 50807, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50426, 52142, 52424, 52142, 52728, 53020, 60773, 52142, 59369, 52142, 50807, 51540, 53258, 52910, 52142, 52424, 52142, 52728, 53020, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 54076, 51161, 50462, 52142, 59369, 53020, 50807, 51540, 52780, 50807, 53874, 52045, 52724, 52045, 52760, 52045, 52713, 52045, 50426, 53020, 52424, 52142, 52728, 51951, 77747, 51967, 50807, 51540, 52130, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 54076, 52045, 50426, 51967, 52424, 52064, 52728, 53122, 60773, 52521, 59369, 52682, 50807, 50483, 51967, 50800, 51540, 52130, 50807, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50426, 52142, 52424, 52142, 52728, 53020, 60773, 52142, 59369, 52142, 50807, 51540, 53258, 52910, 52142, 52424, 52142, 52728, 53020, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 52645, 51161, 50462, 52142, 59369, 51951, 50807, 50483, 51967, 50800, 51540, 52130, 50807, 53854, 52045, 52724, 52045, 52760, 52045, 52475, 52045, 50426, 52142, 52424, 52142, 52728, 53020, 60773, 52142, 59369, 52142, 50807, 51540, 53020, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 51995, 52045, 50426, 53258, 52424, 52780, 52728, 53020, 60773, 52142, 59369, 51951, 50807, 50483, 51967, 50800, 51540, 52130, 50807, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50426, 52142, 52424, 52142, 52728, 53020, 60773, 52142, 59369, 52142, 50807, 51540, 53258, 52910, 52142, 52424, 52142, 52728, 53020, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 54076, 51161, 50462, 52142, 59369, 53020, 50807, 51540, 52780, 50807, 53874, 52045, 52724, 52045, 52760, 52045, 52713, 52045, 50426, 53020, 52424, 52142, 52728, 51951, 77747, 51967, 50807, 51540, 52130, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 54076, 52045, 50426, 51967, 52424, 52064, 52728, 53122, 60773, 52521, 59369, 52682, 50807, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 51161, 52979, 51161, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50450, 52130, 51161, 53424, 51161, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 50918, 52979, 56039, 52130, 50807, 53424, 52728, 51967, 50807, 52635, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 51995, 51161, 50462, 53122, 50807, 53210, 59369, 52682, 50807, 53326, 50807, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 51161, 52979, 51161, 53854, 52045, 52724, 52045, 52760, 52045, 52475, 52045, 50450, 52130, 51161, 53424, 51161, 51540, 51951, 50918, 53539, 50918, 53874, 52045, 55424, 52045, 52508, 52045, 52645, 52045, 50438, 52130, 50807, 53424, 52728, 51967, 50807, 52635, 60773, 53122, 50807, 53210, 59369, 52682, 50807, 53326, 50807, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 51161, 52979, 51161, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50450, 52130, 51161, 53424, 51161, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 50918, 52979, 56039, 52130, 50807, 53424, 52728, 51967, 50807, 52635, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 54076, 51161, 50462, 53122, 50807, 53210, 59369, 52682, 50807, 53326, 50807, 51540, 52064, 50918, 52860, 50918, 53874, 52045, 52724, 52045, 52760, 52045, 52713, 52045, 50435, 53122, 50800, 53210, 51724, 52064, 50807, 52860, 52728, 53122, 50807, 53210, 60773, 52064, 50807, 52860, 59369, 51967, 50807, 52635, 50807, 51540, 52130, 50807, 53424, 50807, 53874, 52045, 55424, 52045, 52508, 52045, 54076, 52045, 50426, 51967, 50807, 52635, 52424, 52064, 50807, 52860, 52728, 53122, 50807, 53210, 60773, 52521, 50807, 52979, 59369, 52682, 50807, 53326, 50807, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 51161, 52979, 51161, 53854, 51492, 52724, 51492, 52760, 51492, 52475, 51492, 50450, 52130, 51161, 53424, 51161, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 50918, 52979, 56039, 52130, 50807, 53424, 52728, 51967, 50807, 52635, 50807, 53874, 51161, 55424, 51161, 52508, 51161, 51995, 51161, 50462, 53122, 50807, 53210, 59369, 52682, 50807, 53326, 50807, 50483, 52682, 50800, 53326, 50800, 51540, 52521, 51161, 52979, 51161, 53854, 52045, 52724, 52045, 52760, 52045, 52475, 52045, 50450, 52130, 51161, 53424, 51161, 51540, 51951, 50918, 53539, 50918, 53874, 52045, 55424, 52045, 52508, 52045, 52645, 52045, 50438, 52130, 50807, 53424, 52728, 51967, 50807, 52635, 60773, 53122, 50807 ]
[ 0, 250, 12298, 15855, 2125, 19, 3495, 16882, 6, 42, 2214, 7630, 6568, 10, 1619, 4780, 149, 63, 15352, 30054, 8, 19448, 23225, 4, 2595, 10312, 30, 10, 326, 5638, 18026, 6, 6755, 12547, 6, 13305, 6, 20535, 2810, 6, 8, 24896, 6, 24, 11498, 10, 1769, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 2060, 538, 6, 24, 1575, 10, 33215, 16739, 9, 12608, 406, 6, 2060, 6, 12608, 6, 8, 230, 119, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 59626, 76501, 50623, 52274, 50423, 50965, 52256, 50424, 52682, 50810, 50799, 54313, 59391, 51312, 51001, 78046, 52682, 58835, 72759, 59541, 79111, 50892, 50443, 56984, 56157, 51001, 50892, 50454, 53992, 57414, 50965, 74915, 50981, 53320, 54143, 52671, 53233, 52591, 51105, 50810, 54961, 50855, 52103, 50855, 51702, 50855, 52377, 53303, 56758, 63713, 53220, 51105, 50845, 54961, 51121, 52103, 51178, 51702, 50873, 52377, 55732, 56485, 63713, 53269, 53992, 51204, 51105, 50810, 54961, 50855, 52103, 50855, 52489, 50855, 51702, 50855, 52377, 53303, 56758, 63713, 54478, 51105, 51203, 54961, 51377, 52103, 51377, 52489, 51056, 51702, 51056, 52377, 68361, 61185, 63713, 60201, 56984, 57313, 59541, 51103, 56178, 51310, 51325, 51397, 52340, 51671, 53129, 51671, 53188, 52829, 53542, 68835, 55567, 53023, 50876, 52688, 50965, 51363, 65711, 52953, 50989, 52718, 53992, 67997, 51145, 51213, 51203, 55870, 61619, 53594, 56673, 68036, 51534, 50450, 50965, 50892, 50964, 51043, 50903, 54493, 53217, 53992, 51675, 50876, 50838, 54578, 51742, 52022, 51452, 52414, 52136, 52036, 55174, 53456, 51748, 50798, 55567, 55394, 50965, 52688, 51028, 63096, 54493, 55487, 50965, 50933, 52255, 54137, 50965, 51309, 51040, 54532, 52340, 61011, 55454, 56069, 50876, 60540, 51534, 50856, 56377, 50856, 53430, 77460, 51001, 50892, 51711, 62771, 54493, 53555, 50871, 59316, 50892, 51325, 55921, 50863, 58540, 51363, 50871, 50981, 52022, 51397, 52414, 61619, 55567, 53023, 50965, 58069, 53992, 75202, 63675, 51916, 52953, 50965, 52718, 52682, 67997, 50892, 51133, 51749, 52340, 51447, 52137, 51447, 51711, 61619, 53594, 54313, 51110, 50861, 56697, 70688, 50906, 51411, 50903, 54493, 53217, 59541, 50833, 50861, 56517, 56984, 50833, 50799, 53992, 51351, 50871, 51310, 50945, 51422, 52036, 55174, 53188, 52431, 50798, 55567, 55394, 50965, 52580, 50965, 58000, 51079, 50903, 54493, 70001, 52626, 51314, 58319, 53913, 50871, 57787, 55454, 50971, 55513, 52034, 50856, 56377, 50856, 53430, 50965, 51255, 53188, 51333, 50903, 54493, 53555, 50876, 51166, 76066, 57346, 61366, 50981, 51186, 51397, 52735, 73506, 55567, 53023, 50871, 56909, 73869, 53901, 67258, 76361, 53535, 50312, 63675, 51916, 54956, 67258, 56504, 50906, 64569, 51466, 50433, 59541, 55965, 50956, 50892, 51105, 51397, 52340, 51671, 52137, 74260, 53594, 50906, 56697, 53992, 69937, 51363, 50997, 51466, 50903, 54493, 54781, 59541, 51191, 50456, 51028, 50838, 56178, 50892, 51325, 51412, 53188, 51671, 50798, 55567, 55394, 50965, 51006, 50421, 50691, 50302, 77744, 73869, 51241, 56546, 71274, 51203, 50965, 51203, 51186, 51203, 50903, 54493, 55487, 51001, 52718, 50989, 51423, 50965, 51203, 51105, 50978, 53129, 51447, 52414, 50995, 54295, 51466, 50798, 56533, 55942, 56069, 50956, 51645, 51325, 58253, 56377, 50856, 53430, 50989, 51203, 50965, 51363, 50945, 51174, 52340, 51108, 52664, 51466, 50798, 56533, 54493, 53555, 50876, 50838, 51325, 67912, 50863, 54578, 50981, 52022, 51397, 52036, 51447, 53188, 51447, 52414, 51080, 54961, 51703, 52037, 64391, 56450, 54493, 53023, 50965, 52688, 53992, 75127, 63675, 51916, 52953, 50965, 52718, 52682, 67997, 50892, 51133, 51535, 51711, 51080, 52340, 51080, 52137, 51447, 52664, 56004, 52290, 55732, 55454, 53114, 54313, 51162, 50861, 50974, 53811, 64712, 50876, 63675, 51916, 53017, 59541, 63925, 50838, 54578, 51310, 50945, 51422, 52036, 51447, 53188, 51806, 51567, 60881, 55567, 55394, 56984, 74566, 56909, 53992, 51351, 56546, 75855, 50901, 53188, 51328, 50903, 54493, 55487, 50965, 57945, 50901, 52137, 75120, 51001, 60259, 51363, 52036, 53656, 55454, 56069, 50876, 58520, 51534, 52036, 52151, 53188, 51242, 50856, 56377, 50856, 53430, 50965, 50892, 51711, 50972, 50903, 54493, 53555, 50876, 50838, 52340, 51277, 50816, 56183, 50863, 57346, 61366, 50981, 51186, 51397, 52414, 51244, 54961, 78497, 55567, 53023, 50871, 58253, 52872, 50965, 51568, 50302, 51333, 65711, 53864, 68564, 53992, 54259, 50906, 56784, 53992, 52841, 52682, 62930, 51568, 50295, 52034, 51105, 51397, 52340, 55174, 52137, 74260, 55454, 53114, 50861, 67240, 53003, 54313, 68995, 51568, 50295, 52845, 50302, 51333, 65711, 53864, 53137, 51028, 58253, 58908, 54313, 51675, 56178, 50892, 51325, 51714, 53188, 52431, 52664, 52727, 50798, 55567, 53023, 50965, 52688, 50876, 50892, 51863, 51242, 65711, 52953, 50965, 50838, 52255, 52718, 50956, 50892, 51615, 51884, 50798, 52348, 53114, 50900, 50974, 51743, 52518, 50816, 52763, 50956, 50892, 52402, 51108, 53188, 50905, 65711, 53017, 50965, 50838, 52626, 51212, 50460, 52682, 50833, 50799, 54313, 61581, 51363, 50876, 51363, 51001, 51310, 50945, 51422, 51711, 54573, 53718, 51592, 50798, 53612, 52712, 52682, 59391, 60912, 51645, 50438, 59541, 79111, 55200, 56984, 65439, 54058, 50876, 57092, 53992, 51519, 50305, 51679, 50965, 51391, 51028, 51391, 53320, 54143, 52671, 53233, 52591, 51105, 50810, 54961, 50855, 52103, 50855, 51702, 50855, 52377, 53303, 56758, 63713, 53220, 51105, 50845, 54961, 51121, 52103, 51178, 51702, 50873, 52377, 55732, 56485, 63713, 53269, 53992, 50897, 51105, 50810, 54961, 50855, 52103, 50855, 52489, 50855, 51702, 50855, 52377, 53303, 56758, 63713, 54478, 53992, 51241, 51105, 51203, 54961, 51377, 52103, 51377, 52489, 51056, 51702, 51056, 52377, 68361, 61185, 63713, 64479, 59541, 51413, 56178, 51310, 51325, 51115, 52340, 51671, 53129, 51671, 53188, 52829, 53542, 68835, 55567, 53023, 50876, 52688, 50965, 51363, 50903, 54493, 52953, 50989, 52718, 53992, 51121, 50956, 51145, 51213, 51310, 55870, 61619, 52348, 53858, 56673, 74127, 51534, 50450, 50965, 63675, 54493, 53217, 53992, 51413, 50876, 50838, 54578, 51742, 51228, 51714, 52414, 52136, 52036, 55174, 56760, 52826, 53456, 69565, 55567, 55394, 50965, 52688, 51028, 50943, 54006, 58785, 54493, 55487, 50965, 50933, 52255, 54137, 50965, 51309, 51040, 54532, 52340, 50995, 52194, 52221, 55454, 56069, 50876, 60540, 51534, 50856, 56377, 50856, 53430, 77460, 51001, 50892, 51711, 50995, 52377, 67638, 54493, 53555, 50871, 59316, 56923, 50863, 58540, 51363, 50871, 50981, 52022, 51115, 52414, 51080, 51702, 66006, 55567, 53023, 50965, 58069, 51028, 63675, 51916, 52953, 53992, 51255, 50965, 52718, 50956, 50892, 51133, 51115, 52340, 51447, 52137, 51447, 51711, 51080, 54864, 51490, 52377, 63346, 56432, 52682, 62063, 54313, 68668, 56697, 70688, 50906, 51411, 50903, 54493, 53217, 50861, 50838, 50799, 59541, 60263, 51310, 50945, 51714, 52036, 55174, 53188, 52431, 51947, 51445, 52194, 64250, 55567, 58671, 56984, 59771, 62094, 50422, 53992, 51241, 62144, 58000, 51079, 50903, 54493, 70001, 52626, 51314, 58319, 53913, 50871, 50981, 53192, 52221, 55454, 50971, 55513, 52034, 50856, 56377, 50856, 53430, 50965, 51255, 53188, 51333, 53459, 67638, 54493, 53555, 50876, 51166, 76066, 57346, 61366, 50981, 51186, 51397, 52735, 51449, 52701, 51445, 55504, 74903, 55567, 53023, 50871, 52688, 50997, 53535, 50312, 63675, 51916, 57531, 67258, 53911, 50906, 64569, 51466, 50434, 67258, 56282, 59541, 69796, 50892, 51105, 51115, 52340, 51671, 52137, 51447, 52178, 58641, 53594, 50906, 56697, 53992, 50925, 50861, 51363, 50997, 51466, 51866, 58028, 54493, 57098, 59541, 51218, 50456, 51028, 50838, 56178, 50892, 51325, 51025, 53188, 51671, 52698, 51692, 50798, 55567, 55394, 50965, 66910, 50691, 50302, 51100 ]
[ 0, 250, 765, 37903, 9, 5175, 3152, 930, 14, 7630, 6568, 10, 3344, 9, 11098, 8, 1007, 4, 85, 18, 11, 5, 762, 9, 230, 10431, 3694, 19, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 163, 6, 2060, 119, 6, 3676, 1176, 406, 6, 272, 6, 8, 381, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 51247, 50841, 51966, 50834, 51315, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51315, 56529, 51966, 50829, 51315, 54181, 51247, 50841, 51966, 50834, 51176, 55945, 51247, 50841, 51966, 50829, 51176, 65586, 51966, 52802, 51966, 50834, 51279, 50841, 51324, 59827, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51315, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51315, 56529, 51966, 50829, 51315, 54181, 51247, 50841, 51966, 50834, 51176, 55945, 51247, 50841, 51966, 50829, 51176, 65586, 51966, 52802, 51966, 50834, 51279, 55647, 51247, 50841, 51324, 79100, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51360, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51360, 56529, 51966, 50829, 51360, 54181, 51247, 50841, 51966, 50834, 51315, 55945, 51247, 50841, 51966, 50829, 51315, 65586, 51966, 52802, 51966, 50834, 51279, 50841, 51176, 59827, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51360, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51279, 56529, 51966, 50829, 51324, 54181, 51247, 50841, 51966, 50834, 51360, 55945, 51247, 50841, 51966, 50829, 51360, 65586, 51966, 52802, 51966, 50834, 51279, 55647, 51247, 50841, 51324, 79100, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51279, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51279, 56529, 51966, 50829, 51279, 54181, 51247, 50841, 51966, 50834, 51360, 55945, 51247, 50841, 51966, 50829, 51360, 65586, 51966, 52802, 51966, 50834, 51279, 50841, 51315, 59827, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51279, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51279, 56529, 51966, 50829, 51279, 54181, 51247, 50841, 51966, 50834, 51360, 55945, 51247, 50841, 51966, 50829, 51360, 65586, 51966, 52802, 51966, 50834, 51279, 55647, 51247, 50841, 51279, 79100, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51085, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51085, 56529, 51966, 50829, 51085, 54181, 51247, 50841, 51966, 50834, 51315, 55945, 51247, 50841, 51966, 50829, 51315, 65586, 51966, 52802, 51966, 50834, 51279, 50841, 51026, 59827, 51966, 54794, 51966, 50829, 54734, 50841, 51966, 50834, 51085, 65516, 51966, 54104, 51966, 52762, 51966, 50834, 51279, 52667, 51966, 50829, 51085, 56529, 51966, 50829, 51085, 54181, 51247, 50841, 51966, 50834, 51315, 55945, 51247, 50841, 51966, 50829, 51026, 65586, 51966, 52802, 51966, 50834, 51279, 55647, 51247, 50841, 51040, 79100, 51503, 50829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2125, 6, 30291, 19, 4785, 9, 3495, 6, 1931, 21683, 10, 25306, 8, 15352, 30054, 14981, 4, 590, 10, 7212, 20889, 9, 12312, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 274, 538, 6, 24, 1575, 10, 11577, 12547, 9, 13305, 6, 21979, 9590, 6, 21072, 6, 21979, 8669, 6, 8, 3152, 6757, 4, 20, 15229, 30853, 11, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 13931, 9, 274, 6, 163, 428, 6, 230, 406, 6, 274, 6, 8, 230, 1271, 7, 63, 13363, 28191, 4798, 17130, 6, 150, 5, 1374, 6711, 7630, 6568, 6453, 9, 11098, 6, 1007, 6, 8, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57739, 59015, 50932, 51955, 51003, 50460, 51064, 53280, 50461, 51067, 51362, 54204, 59250, 63675, 52201, 55154, 50892, 52317, 50858, 52077, 68621, 51438, 51333, 50416, 51612, 51518, 52037, 51692, 51722, 51422, 51039, 58831, 58754, 51134, 74721, 50931, 51134, 50425, 52077, 50950, 51544, 58831, 50838, 52317, 50950, 50431, 51064, 54854, 51261, 53095, 59355, 53417, 58831, 50838, 51067, 60144, 61808, 52561, 52057, 51793, 62328, 53021, 65151, 60318, 51337, 50871, 51337, 50906, 51337, 52463, 72631, 51064, 51255, 52561, 51010, 51180, 58831, 50838, 52463, 68168, 52561, 50811, 51955, 52201, 65151, 58754, 51233, 50871, 51233, 50906, 51233, 51067, 50890, 51438, 72638, 52463, 62564, 52561, 58740, 52463, 54647, 51140, 54312, 55559, 62736, 67163, 51855, 50823, 52184, 52015, 51567, 52140, 52037, 51675, 52792, 51803, 53202, 58307, 53021, 65151, 50892, 51617, 50811, 51549, 50959, 51032, 50959, 51438, 50955, 51788, 50959, 50418, 51617, 64941, 51855, 50894, 51039, 58831, 70631, 51549, 51851, 51788, 51693, 51768, 52201, 65151, 60420, 51337, 50877, 51337, 50876, 51337, 50931, 51337, 51549, 51000, 51032, 52134, 51438, 50941, 50427, 51788, 79956, 51549, 51175, 51032, 51309, 51438, 51454, 51788, 77684, 51150, 54874, 56362, 65151, 53913, 51150, 67366, 53021, 65151, 71321, 61976, 71508, 50978, 53426, 50840, 52463, 50890, 51829, 50864, 53329, 64781, 51032, 61985, 50903, 53417, 65151, 60420, 59023, 64196, 50905, 53426, 50962, 51829, 50813, 52463, 50817, 53329, 50883, 51438, 50810, 51788, 50858, 51549, 51269, 50447, 52184, 50844, 52792, 50854, 52037, 62135, 51032, 52731, 51549, 50878, 51438, 50925, 52320, 65151, 50838, 51788, 58774, 51140, 54874, 54042, 58831, 71321, 61976, 71508, 50978, 51032, 74445, 52184, 51939, 51567, 52140, 52037, 51518, 52792, 51677, 53202, 67839, 63675, 52201, 55154, 50892, 51829, 50897, 51549, 51362, 51032, 52256, 51438, 50821, 51788, 50858, 51882, 51014, 50419, 51788, 65748, 51438, 55177, 51039, 58831, 69192, 51882, 50894, 51544, 58831, 50838, 51829, 52119, 51150, 53095, 59355, 54762, 58831, 50838, 51549, 50809, 51788, 50890, 71265, 51438, 79737, 52836, 50930, 52908, 52952, 51150, 69561, 53021, 65151, 71321, 64238, 68506, 69667, 51058, 50443, 52836, 50930, 51032, 51221, 52908, 66901, 58831, 51260, 50285, 65397, 51549, 50812, 51567, 50844, 52184, 50844, 52037, 50800, 52792, 50833, 51955, 52201, 65151, 60420, 51233, 50871, 51233, 50877, 51233, 50876, 51233, 52836, 50841, 51438, 50810, 51788, 50810, 52908, 78563, 52908, 72091, 52836, 52863, 51668, 54874, 53284, 62736, 50838, 50460, 51612, 51692, 50461, 52317, 50962, 52077, 50803, 52037, 51692, 51722, 51939, 54204, 69561, 53021, 65151, 50892, 76532, 51067, 50962, 51438, 61798, 51064, 50984, 50419, 52317, 50950, 77211, 52077, 61493, 58831, 50838, 51768, 52201, 50901, 51553, 58831, 70217, 51067, 51460, 51438, 51566, 51064, 51412, 50432, 51984, 53095, 53021, 65151, 53913, 51793, 68393, 53021, 65151, 50892, 52317, 50836, 51982, 51010, 52463, 60178, 51064, 51534, 50444, 50903, 53417, 65151, 50838, 52317, 50949, 51982, 50817, 52463, 59587, 51067, 63155, 68322, 51438, 52116, 50791, 65151, 50838, 51722, 50857, 51612, 50880, 52037, 52485, 51216, 54874, 56794, 74927, 50460, 51612, 51941, 52037, 51933, 51722, 51939, 50461, 62342, 73707, 51438, 50812, 54204, 69561, 63675, 52201, 55154, 60318, 51337, 50871, 51337, 50906, 51337, 52077, 66305, 52317, 61493, 58831, 69192, 52077, 50803, 51544, 58831, 60420, 51051, 50989, 51051, 50973, 51051, 52317, 58221, 51067, 51016, 51064, 51484, 51438, 53182, 51984, 54436, 59355, 53417, 58831, 58754, 61858, 50822, 50906, 61573, 52561, 52952, 51793, 67839, 53021, 65151, 50892, 52463, 60254, 52561, 50962, 51180, 58831, 50838, 51064, 71703, 52463, 50962, 50448, 52561, 50894, 51612, 50866, 51722, 50892, 52037, 50873, 51955, 52201, 65151, 50838, 52463, 50952, 72318, 51067, 50859, 51438, 50924, 50453, 53773, 58403, 54488, 54712, 51493, 53877, 53284, 62736, 50838, 51064, 51051, 50460, 52908, 50894, 52184, 51623, 52290, 52015, 50461, 52836, 50890, 51722, 51803, 55970, 57130, 53021, 65151, 50892, 51549, 50858, 51563, 50808, 70592, 51039, 58831, 69192, 52914, 50823, 51768, 52201, 65151, 60420, 51337, 50861, 51337, 50906, 51337, 50427, 53426, 58814, 51064, 52519, 50430, 51882, 57925, 51549, 51541, 51563, 51204, 50432, 51216, 53095, 56362, 65151, 50892, 51829, 52952, 51261, 68393, 53021, 65151, 50892, 50442, 52908, 50962, 50443, 52836, 52510, 50903, 53417, 65151, 60420, 51391, 50861, 51391, 50906, 51391, 50447, 51722, 50892, 52184, 50911, 52290, 50910, 50449, 51549, 50858, 51563, 50809, 70592, 52908, 50860, 52320, 65151, 50838, 52836, 52884, 51560, 53877, 54042, 74927, 50460, 51567, 52431, 52184, 51592, 52037, 51518, 52792, 51677, 50461, 51549, 51542, 51438, 51134, 51032, 51542, 51788, 51419, 52561, 50811, 53202, 69564, 63675, 52201, 55154, 73826, 53426, 50857, 52463, 50813, 53329, 50855, 51829, 62016, 52561, 66421, 58831, 60420, 51134, 75473, 76417, 50931, 51134, 51829, 50809, 53426, 50817, 52463, 50817, 53329, 50883, 51544, 58831, 53052, 51150, 54312, 59355, 54762, 58831, 50838, 51549, 59093, 51032, 50904, 51438, 50961, 51788, 54957, 51150, 68393, 53021, 65151, 71321, 64238, 68506, 69667, 51058, 51180, 58831, 51260, 50285, 65397, 51617, 50803, 51567, 50978, 51955, 52201, 50901, 51224, 58831, 60420, 51233, 50871, 51233, 50877, 51233, 50876, 51233, 51549, 50887, 51855, 50823, 52184, 50878, 52792, 50878, 52037, 50925, 50451, 51438, 50890, 51788, 50840, 51032, 54481, 51461, 54874, 53284, 71470, 58831, 67163, 52077, 51300, 51612, 52069, 52037, 52151, 54204, 75263, 58831, 57260, 51749, 50906, 51749, 50931, 51749, 52317, 51362, 51982, 51573, 52463, 51745, 51067, 51870, 51064, 51127, 51438, 51870, 51722, 52062, 51039, 50838, 51553, 58543, 50838, 51768, 59899, 61578, 50892, 51553, 50892, 50430, 52317, 50890, 51982, 50817, 52463, 52265, 51261, 60629, 61578, 71870, 52718, 51793, 51351, 50903, 58880, 50892, 51553, 55200, 50903, 61578, 50892, 51553, 60318, 51134, 74721, 50931, 51134, 51955, 61578, 50892, 51553, 53586, 51261, 58713, 61578, 50892, 51553, 60977, 51656, 51941, 51743, 51662, 51711, 52151, 50461, 50970, 51419, 50947, 51573, 51032, 51542, 53202, 67839, 63675, 78464, 55154, 60540, 61817, 60250, 79442, 50995, 51039, 58831, 50838, 51686, 50821, 51544, 58831, 50838, 51673, 55736, 51668, 54436, 59355, 77229, 58831, 57712, 51412, 50877, 51412, 50876, 51412, 50931, 51412, 51686, 50978, 77755, 50817, 51032, 52676, 51150, 59250, 53021, 65151, 50892, 51673, 50937, 50443, 51686, 50917, 74584, 51180, 58831, 50838, 51955, 51623, 50791, 65151, 57712, 51233, 50877, 51233, 50876, 51233, 50931, 51233, 51673, 50959, 62629, 51032, 61519, 51686, 57939, 51140, 54436, 55559, 62736, 50838, 50460, 51615, 51353, 51863, 51353, 51711, 51353, 52225, 51353, 50461, 51673, 50880, 53788, 61725, 53021, 65151, 64233, 63211, 60250, 78819, 50995, 50415, 51064, 50897, 75646, 51032, 50959, 78798, 51039, 58831, 50838, 51292, 78407, 50929, 56120, 51032, 65330, 50421, 51064, 56120, 50425, 51827, 50962, 51768, 78464, 65151, 70217, 51789, 50949, 51606, 51031, 51064, 51391, 51032, 51134, 51292, 51419, 50929, 51381, 50432, 52078, 53095, 56362, 65151, 64233, 51412, 50906, 51412, 50876, 51412, 50951, 51412, 50438, 52078, 51310 ]
[ 0, 250, 182, 765, 37903, 9, 5175, 930, 19, 15855, 16882, 6, 4246, 10, 881, 1918, 406, 6, 211, 6, 1918, 406, 428, 245, 6, 272, 33215, 13931, 11, 5, 762, 9, 272, 538, 6, 278, 7, 10, 6379, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 71691, 50861, 52910, 50951, 52424, 50951, 52728, 50931, 51923, 50968, 50795, 56229, 52115, 50968, 51631, 50902, 52424, 50902, 52728, 50876, 51923, 50902, 50795, 57289, 52910, 50902, 51736, 50968, 51646, 50931, 52728, 50968, 51923, 75022, 57289, 52910, 50902, 50918, 54594, 52910, 50951, 52424, 50951, 52728, 50931, 51923, 50968, 50795, 56229, 52115, 50968, 51631, 50902, 52424, 50902, 52728, 50876, 51923, 50902, 50795, 57289, 52910, 50902, 51736, 50968, 51646, 50931, 52728, 50968, 51923, 75022, 58106, 50951, 51036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 37903, 9, 5175, 930, 19, 10, 980, 12, 3341, 5466, 6, 4246, 15352, 30054, 8, 3366, 219, 4785, 6, 278, 11, 10, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 6, 24826, 198, 10, 33215, 13931, 9, 83, 6, 230, 6, 211, 6, 8, 3676, 11, 5, 762, 9, 83, 3694, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50899, 53504, 50877, 51835, 50902, 52296, 50899, 51620, 50877, 52765, 50902, 51628, 50899, 52262, 50877, 51724, 50902, 52831, 50899, 51820, 50877, 52513, 50902, 51757, 50899, 52809, 50877, 51754, 50902, 52567, 57579, 54206, 53504, 50877, 51835, 50902, 52296, 50899, 51620, 50877, 52765, 50902, 51628, 50899, 52262, 50877, 51724, 50951, 52831, 50899, 51820, 50877, 52513, 50951, 51757, 50899, 52809, 50877, 51754, 50951, 52567, 57579, 54578, 53504, 50931, 51835, 50999, 52296, 50871, 51620, 50931, 52765, 50999, 51628, 50871, 52262, 50931, 51724, 50999, 52831, 50871, 51820, 50931, 52513, 50999, 51757, 50871, 52809, 50931, 51754, 50999, 52567, 57061, 54578, 53504, 50931, 51835, 50999, 52296, 50871, 51620, 50931, 52765, 50999, 51628, 50871, 52262, 50931, 51724, 50999, 52831, 50871, 51820, 50931, 52513, 50999, 51757, 50871, 52809, 50931, 51754, 50999, 52567, 57061, 54578, 53504, 50931, 51835, 50999, 52296, 50871, 51620, 50931, 52765, 50999, 51628, 50871, 52262, 50931, 51724, 50999, 52831, 50871, 51820, 50931, 52513, 50999, 51757, 50871, 52809, 50931, 51754, 50999, 52567, 57061, 54578, 53504, 50931, 51835, 50999, 52296, 50871, 51620, 50931, 52765, 50999, 51628, 50861, 52262, 50951, 51724, 51220, 52831, 50861, 51820, 50951, 52513, 51220, 51757, 50861, 52809, 50951, 51754, 51220, 52567, 60003, 54852, 53504, 50999, 51835, 51062, 52296, 50877, 51620, 50999, 52765, 51430, 51628, 50877, 52262, 50999, 51724, 51062, 52831, 50877, 51820, 50999, 52513, 51430, 51757, 50877, 52809, 50999, 51754, 51062, 52567, 57579, 54852, 53504, 50999, 51835, 51062, 52296, 50877, 51620, 50999, 52765, 51430, 51628, 50877, 52262, 50999, 51724, 51062, 52831, 50877, 51820, 50999, 52513, 51430, 51757, 50877, 52809, 50999, 51754, 59179, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 37903, 9, 15855, 5175, 930, 4246, 10, 17691, 28430, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 23758, 3938, 20889, 6, 7630, 14805, 10, 3344, 9, 25306, 6, 19448, 6, 8, 2933, 6711, 29, 149, 10, 33215, 16739, 9, 230, 6, 230, 401, 6, 272, 119, 6, 8, 274, 119, 1176, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56103, 50450, 51802, 50807, 76309, 52910, 51802, 52424, 51950, 52728, 51802, 50807, 76309, 51036, 73410, 52910, 51784, 52424, 51900, 52728, 52173, 50983, 52591, 51900, 51631, 51784, 56811, 51900, 50918, 55746, 52186, 51736, 52186, 51646, 52355, 52728, 52186, 50807, 50799, 52278, 52115, 52355, 51631, 52186, 52424, 52186, 52728, 52355, 50807, 58106, 52186, 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, 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, 2125, 6, 30291, 19, 3495, 4785, 6, 30853, 23, 10, 16906, 352, 2877, 11, 231, 73, 306, 86, 4, 20, 38668, 483, 6, 21979, 8669, 6, 3152, 6757, 6, 769, 196, 6757, 6, 8, 13305, 35810, 561, 10, 5797, 990, 1506, 9, 15352, 30054, 8, 17627, 17274, 4428, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 15229, 16, 17407, 30, 5, 3222, 5785, 227, 5, 211, 8, 230, 73, 495, 40286, 6, 2351, 10, 32625, 8, 31612, 5466, 19, 10, 11602, 9, 1619, 9450, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54838, 50619, 54687, 50428, 50671, 50287, 52720, 70283, 52720, 66930, 54373, 55172, 53201, 55114, 53201, 56266, 54373, 56007, 54373, 50483, 50629, 54838, 51676, 50812, 53455, 52204, 51914, 52204, 51137, 55198, 55668, 78750, 53651, 50848, 52382, 50847, 53363, 50935, 53259, 50988, 54454, 78738, 54527, 50416, 50935, 53363, 50847, 54527, 50417, 53354, 52871, 51617, 50812, 55462, 55884, 53354, 52710, 52333, 50833, 58233, 57781, 53354, 53911, 51829, 53626, 50328, 57836, 53354, 54181, 52333, 50833, 58233, 61032, 53354, 54207, 51829, 50808, 57210, 54787, 53354, 53639, 51982, 50858, 61042, 53532, 53354, 52955, 51829, 50859, 57210, 57308, 53354, 50833, 50462, 52333, 50854, 58233, 50859, 50465, 53354, 50812, 50468, 51829, 53626, 50328, 50882, 50471, 53354, 50808, 50474, 52333, 50833, 58233, 50859, 50477, 53354, 50833, 50480, 51617, 50810, 55462, 50800, 50483, 53354, 50800, 54838, 51676, 50812, 51137, 55198, 55668, 50858, 50988, 53259, 50988, 54454, 78738, 54527, 50847, 54527, 50848, 52382, 50847, 52382, 50935, 54454, 50416, 50935, 53363, 50417, 53354, 51835, 51617, 50812, 55462, 54007, 53354, 51620, 52333, 50812, 58233, 55104, 53354, 52749, 51829, 50859, 57210, 56966, 53354, 51724, 52333, 50854, 58233, 52831, 53354, 52597, 51829, 53626, 50328, 57674, 53354, 52848, 51982, 50859, 61042, 56328, 53354, 51754, 51829, 53626, 50328, 57308, 53354, 50812, 50462, 52333, 50812, 58233, 50821, 50465, 53354, 50812, 50468, 51617, 50810, 55462, 50800, 50471, 53354, 50833, 50474, 51676, 50833, 55668, 50859, 50477, 53354, 50812, 50480, 52421, 50854, 56091, 50859, 50483, 53354, 50859, 54838, 51676, 50808, 51137, 55198, 55668, 78750, 53380, 50847, 54527, 50988, 52382, 78738, 52382, 50848, 54454, 50847, 54454, 50935, 52382, 50935, 53259, 50417, 53354, 54681, 51617, 53626, 50325, 57625, 53354, 52450, 52333, 50808, 58233, 58465, 53354, 53627, 51829, 53626, 50328, 57836, 53354, 52599, 52333, 50854, 58233, 61032, 53354, 52711, 51829, 50808, 57210, 54787, 53354, 53639, 51982, 50858, 61042, 66250, 53354, 51754, 51829, 50858, 57210, 60343, 53354, 50800, 50462, 52333, 50833, 58233, 50859, 50465, 53354, 50808, 50468, 51829, 50859, 57210, 50894, 50471, 53354, 50812, 50474, 52333, 50812, 58233, 50858, 50477, 53354, 50800, 50480, 51617, 50854, 55462, 50859, 50483, 53354, 50859, 54838, 51676, 50812, 51137, 55198, 55668, 63430, 54527, 50988, 52382, 50848, 52382, 50988, 53651, 65751, 54527, 50935, 54454, 50847, 52382, 50935, 54454, 50417, 53354, 54718, 51617, 50812, 55462, 55884, 53354, 53950, 52333, 53626, 50327, 58236, 53354, 52749, 51829, 50859, 57210, 64917, 53354, 54773, 52333, 50844, 58233, 56358, 53354, 52711, 51829, 50812, 57210, 54787, 53354, 51757, 51982, 50821, 61042, 53532, 53354, 52955, 51829, 53626, 50328, 58361, 53354, 50808, 50462, 52333, 50812, 58233, 50858, 50465, 53354, 50859, 50468, 51829, 50859, 57210, 50950, 50471, 53354, 50859, 50474, 52333, 50808, 58233, 50882, 50477, 53354, 50800, 50480, 51617, 50833, 55462, 50859, 50483, 53354, 50808, 54838, 51676, 50873, 51416, 51573, 55668, 50940, 51217, 51112, 51332, 51073, 52404, 52281, 55614, 50885, 51116, 50988, 51157, 50868, 51157, 50416, 50909, 51157, 50420, 54488, 50808, 53329, 50859, 57159, 50808, 56091, 53626, 50325, 50821, 61042, 50882, 63213, 50867, 57010, 50813, 63949, 54156, 52328, 50991, 52836, 51238, 54753, 50967, 53929, 51215, 55668, 51175, 57210, 51175, 61091, 51255, 55687, 51377, 69806, 65903, 51416, 51552, 52219, 52281, 57398, 51332, 50896, 51217, 51016, 50988, 51333, 50885, 50889, 60104, 50909, 56509, 51982, 50841, 54488, 50841, 53329, 50841, 53354, 50828, 56091, 50895, 55462, 50828, 56007, 50834, 63213, 50839, 57010, 55604, 51982, 50813, 54488, 50855, 53329, 50813, 53354, 50855, 56091, 50836, 55462, 50836, 56007, 50835, 63213, 50820, 57010, 53524, 51829, 51121, 52328, 51121, 52836, 51060, 53283, 51124, 53929, 51215, 55668, 51215, 55074, 51203, 55687, 51194, 61091, 65504, 51416, 51552, 74665, 50868, 50807, 52404, 52281, 56012, 51217, 73640, 51016, 51332, 51016, 50909, 55069, 51617, 50833, 51982, 50890, 54488, 50859, 53907, 50812, 53354, 50812, 56091, 50812, 54628, 50833, 56007, 50857, 63213, 50867, 50462, 51676, 50991, 51829, 51110, 52328, 51110, 52998, 51215, 53283, 51173, 53929, 51173, 55114, 51203, 55074, 51233, 55687, 51194, 50468, 51416, 51552, 50988, 51312, 51938, 52281, 50828, 50469, 51332, 50991, 51217, 51238, 50885, 51227, 50909, 55787, 51091, 50474, 52421, 50835, 51617, 50839, 51982, 50820, 53907, 50818, 59090, 50820, 53354, 50839, 59502, 50825, 54628, 50839, 56007, 50839, 50477, 52421, 50864, 51617, 50841, 51982, 50862, 59090, 50855, 53354, 50887, 53907, 50818, 59502, 50835, 56007, 50862, 54628, 50841, 50480, 51953, 50865, 51676, 50865, 51829, 50795, 56201, 50879, 52998, 50795, 53283, 50849, 55074, 50845, 58165, 50977, 55114, 50917, 54838, 51676, 50808, 53455, 52121, 51914, 52096, 51137, 55198, 55668, 50821, 50671, 50287, 52720, 56007, 52720, 70283, 52720, 66930, 52720, 55172, 52720, 55114, 52720, 56266, 52720, 50988, 53651, 50848, 52382, 50848, 53898, 50988, 52382, 50801, 53837, 66161, 56075, 50847, 52382, 50847, 53898, 50935, 54454, 50416, 50935, 56073, 50417, 53354, 54681, 51617, 53626, 50325, 57625, 53354, 52450, 52333, 50808, 58233, 58465, 53354, 53627, 51829, 53626, 50328, 57836, 53354, 52599, 52333, 50854, 58233, 61032, 53354, 52711, 51829, 50808, 57210, 54787, 53354, 53639, 51982, 50858, 61042, 66250, 53354, 51754, 51829, 50858, 57210, 60343, 53354, 50800, 50462, 52333, 50833, 58233, 50859, 50465, 53354, 50808, 50468, 51829, 50859, 57210, 50894, 50471, 53354, 50812, 50474, 52333, 50812, 58233, 50858, 50477, 53354, 50800, 50480, 51617, 50854, 55462, 50859, 50483, 53354, 50859, 54838, 51676, 50812, 51137, 55198, 55668, 63430, 54527, 50848, 53363, 50847, 53363, 50935, 54454, 50988, 52919, 50988, 52382, 52095, 51367, 69722, 57610, 50847, 53898, 50935, 55362, 50417, 53354, 54718, 51617, 50812, 55462, 55884, 53354, 53950, 52333, 53626, 50327, 58236, 53354, 52749, 51829, 50859, 57210, 64917, 53354, 54773, 52333, 50844, 58233, 56358, 53354, 52711, 51829, 50812, 57210, 54787, 53354, 51757, 51982, 50821, 61042, 53532, 53354, 52955, 51829, 53626, 50328, 58361, 53354, 50808, 50462, 52333, 50812, 58233, 50858, 50465, 53354, 50859, 50468, 51829, 50859, 57210, 50950, 50471, 53354, 50859, 50474, 52333, 50808, 58233, 50882, 50477, 53354, 50800, 50480, 51617, 50833, 55462, 50859, 50483, 53354, 50808, 54838, 51676, 50873, 51416, 51552, 55668, 50940, 51217, 78648, 51054, 67826, 52006, 52281, 55376, 76420, 50988, 51097, 50909, 55385, 54488, 50942, 53329, 50833, 57159, 50925, 56091, 53626, 50325, 50821, 61042, 50882, 63213, 50867, 57010, 50813, 63949, 54156, 52836, 51124, 54753, 51233, 52328, 51116, 53929, 51215, 55668, 51175, 57210, 51175, 61091, 51255, 55687, 51377, 69806, 65903, 51416, 51573, 51217, 51377, 51332, 51013, 52404, 52281, 58406, 50885, 51346, 71432, 60172, 50909, 53912, 51982, 50820, 54488, 50829, 53329, 50834, 53354, 50828, 56091, 50895, 55462, 50828, 56007, 50834, 63213, 50839, 57010, 55604, 51982, 50857, 54488, 50839, 53329, 50857, 53354, 50855, 56091, 50836, 55462, 50836, 56007, 50835, 63213, 50820, 57010, 53524, 51829, 51101, 52328, 51121, 52836, 51100, 53283, 51124, 53929, 51215 ]
[ 0, 4688, 5175, 25771, 2214, 19, 10, 980, 219, 8, 5679, 26709, 5466, 6, 4246, 38668, 20535, 6, 38668, 22052, 6, 31391, 1672, 9590, 6, 21979, 9590, 6, 8, 326, 5638, 18026, 4, 20, 1349, 34, 10, 7212, 20889, 9, 5962, 163, 5683, 6, 16, 11, 5, 762, 9, 12608, 538, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 163, 428, 406, 6, 230, 119, 6, 2060, 6, 163, 428, 406, 6, 8, 12608, 3639, 7, 5, 2214, 18, 2933, 8, 2635, 2369, 18795, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55026, 51184, 54645, 51184, 55156, 51184, 54785, 51029, 53733, 51184, 53949, 51184, 54638, 51184, 53033, 61511, 54785, 50802, 53033, 50802, 51272, 50300, 51009, 53033, 51009, 50799, 56852, 51184, 54645, 51184, 57183, 51184, 54785, 51029, 54924, 51184, 53949, 51184, 56885, 51184, 53033, 61511, 54785, 50802, 53033, 50802, 51272, 50300, 51009, 53033, 51009, 50799, 58314, 51732, 54645, 50802, 54486, 51732, 54785, 51029, 55575, 51732, 53949, 50802, 53511, 51732, 53033, 58823, 55988, 50824, 55321, 53566, 54601, 50824, 54785, 50802, 53370, 50824, 53033, 50802, 51272, 50300, 51029, 53033, 62001, 55988, 50802, 55321, 52175, 54645, 50802, 53949, 52325, 54785, 50802, 53033, 50802, 50799, 54645, 50802, 54785, 51029, 53949, 50802, 53033, 58823, 55988, 50824, 55321, 53566, 54601, 50824, 54785, 50802, 53370, 50824, 53033, 50802, 51272, 50300, 51029, 53033, 62001, 55988, 50802, 55321, 52175, 54645, 50802, 53949, 52325, 54785, 50802, 53033, 50802, 50799, 55026, 51184, 54645, 51184, 55156, 51184, 54785, 51029, 53733, 51184, 53949, 51184, 54638, 51184, 53033, 61511, 54785, 50802, 53033, 50802, 51272, 50300, 51009, 53033, 51009, 50799, 56852, 51184, 54645, 51184, 57183, 51184, 54785, 51029, 54924, 51184, 53949, 51184, 56885, 51184, 53033, 61511, 54785, 50802, 53033, 50802, 51272, 50300, 51009, 53033, 51009, 50799, 58314, 51184, 54645, 50802, 54486, 51184, 54785, 51029, 55575, 51184, 53949, 50802, 53511, 51184, 53033, 58823, 55988, 50824, 55321, 53566, 54601, 51029, 54785, 50802, 53370, 51029, 53033, 50802, 51272, 50300, 51029, 53033, 65027, 55988, 50824, 55321, 54098, 54785, 50802, 53033, 50802, 50799, 58314, 51184, 54645, 50824, 54785, 51029, 55575, 51184, 53949, 50824, 53033, 63398, 54486, 51352, 53511, 66613, 54785, 50802, 53033, 52125, 53397, 50975, 56716, 50975, 54785, 51029, 52994, 50975, 56125, 50975, 53033, 51029, 50446, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 72747, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 59315, 54785, 50802, 53033, 50802, 78856, 50824, 55988, 52442, 54486, 52442, 55562, 50824, 54785, 51029, 55301, 51184, 52249, 50824, 55321, 52442, 53511, 52442, 55014, 50824, 53033, 51029, 53691, 74899, 53397, 50802, 56716, 50802, 52994, 50802, 56125, 52030, 52194, 50802, 54785, 50802, 52064, 50802, 53033, 52125, 53397, 50975, 56716, 50975, 54785, 51029, 52994, 50975, 56125, 50975, 53033, 51029, 50446, 53192, 50975, 55562, 50975, 52249, 50975, 55014, 72747, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 59315, 54785, 50802, 53033, 50802, 51094, 50300, 51029, 53033, 58823, 55988, 50824, 54486, 50824, 55321, 50824, 53511, 53566, 55988, 50802, 54486, 50802, 54785, 50802, 55321, 50802, 53511, 50802, 53033, 52125, 53397, 50975, 55988, 51009, 54486, 51009, 56716, 50975, 54785, 50802, 52994, 50975, 55321, 51009, 53511, 51009, 56125, 50975, 53033, 52313, 54785, 50802, 53033, 61409, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 58981, 54785, 50802, 53033, 67897, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 59315, 54785, 50802, 53033, 50802, 78856, 50975, 54601, 52442, 54486, 51009, 55562, 50975, 54785, 51029, 62733, 51184, 52249, 50975, 53370, 52442, 53511, 51009, 55014, 50975, 53033, 51029, 56864, 51184, 50422, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 74512, 52194, 50975, 54486, 51352, 52064, 50975, 53511, 66613, 54785, 50802, 53033, 52125, 53397, 50975, 56716, 50975, 54785, 51029, 52994, 50975, 56125, 50975, 53033, 51029, 50446, 53192, 50975, 55562, 50975, 52249, 50975, 55014, 72747, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 59315, 54785, 50802, 53033, 50802, 51094, 50300, 51029, 62733, 51184, 53033, 51029, 56864, 61912, 54601, 50824, 54486, 50824, 53370, 50824, 53511, 53566, 54601, 50802, 54486, 50802, 54785, 50802, 53370, 50802, 53511, 50802, 53033, 52125, 53397, 50975, 54601, 51009, 54486, 51009, 56716, 50975, 54785, 50802, 52994, 50975, 53370, 51009, 53511, 51009, 56125, 50975, 53033, 52313, 54785, 50802, 53033, 61409, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 58981, 54785, 50802, 53033, 67897, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 59315, 52585, 50802, 51930, 50802, 78856, 50975, 56302, 52442, 54645, 52442, 55562, 50975, 54785, 51029, 55301, 51184, 52249, 50975, 56490, 52442, 53949, 52442, 55014, 50975, 53033, 51029, 53691, 51184, 50422, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 74512, 52194, 50975, 54486, 50975, 52064, 50975, 53511, 59959, 54785, 50802, 53033, 52125, 53397, 50824, 56716, 51184, 54785, 51029, 52994, 50824, 56125, 51184, 53033, 68174, 54785, 50802, 53033, 50802, 51094, 50300, 51029, 53033, 58823, 56302, 50824, 54645, 50824, 56490, 50824, 53949, 53566, 56302, 50802, 54645, 50802, 54785, 50802, 56490, 50802, 53949, 50802, 53033, 52125, 53397, 50975, 56302, 51009, 54645, 51009, 56716, 50975, 54785, 50802, 52994, 50975, 56490, 51009, 53949, 51009, 56125, 50975, 53033, 52313, 54785, 50802, 53033, 61409, 53397, 50975, 56716, 50975, 52994, 50975, 56125, 58981, 54785, 50802, 53033, 67897, 54006, 50975, 57183, 50975, 53928, 50975, 56885, 59315, 54785, 50802, 53033, 50802, 50799, 53397, 50824, 55026, 52442, 55988, 52442, 56716, 50824, 61321, 51029, 52994, 50824, 53733, 52442, 55321, 52442, 56125, 50824, 58226, 63398, 54006, 50824, 57183, 50824, 53928, 50824, 56885, 53566, 61321, 50802, 58226, 52125, 53397, 50824, 56716, 50824, 61321, 51029, 52994, 50824, 56125, 50824, 58226, 65027, 54006, 50824, 57183, 51352, 53928, 50824, 56885, 51352, 50456, 61321, 50802, 58226, 50802, 51094, 50305, 51029, 58226, 58823, 55026, 50824, 55988, 50824, 53733, 50824, 55321, 53566, 55026, 50802, 55988, 50802, 61321, 50802, 53733, 50802, 55321, 50802, 58226, 52125, 54006, 50975, 55026, 51009, 55988, 51009, 57183, 50975, 61321, 50802, 53928, 50975, 53733, 51009, 55321, 51009, 56885, 50975, 58226, 52313, 61321, 50802, 58226, 61409, 54006, 50975, 57183, 50975, 53928, 50975, 56885, 58981, 61321, 50802, 58226, 67897, 54006, 50975, 57183, 50975, 53928, 50975, 56885, 59315, 54785, 50802, 53033, 50802, 50799, 53397, 50824, 56852, 52442, 55988, 52442, 56716, 50824, 61321, 51029, 52994, 50824, 54924, 52442, 55321, 52442, 56125, 50824, 58226, 63398, 54006, 50802, 57183, 50802, 53928, 50802, 56885, 52030, 52194, 50802, 54486, 50802, 61321, 50802, 52064, 50802, 53511, 50802, 58226, 52125, 54006, 51009, 57183, 51184, 61321, 51029, 53928, 51009, 56885, 51184, 58226, 68174, 61321, 50802, 58226, 50802, 51094, 50305, 51029, 58226, 58823, 56852, 50824, 55988, 50824, 54924, 50824, 55321, 53566, 56852, 50802, 55988, 50802, 61321, 50802, 54924, 50802, 55321, 50802, 58226, 52125, 54006, 50975, 56852, 51009, 55988, 51009, 57183, 50975, 61321, 50802, 53928, 50975, 54924, 51009, 55321, 51009, 56885, 50975, 58226, 52313, 61321, 50802, 58226, 61409, 54006, 50975, 57183, 50975, 53928, 50975, 56885, 58981, 61321, 50802, 58226, 67897, 54006, 50975, 57183, 50975, 53928, 50975, 56885, 59315, 55298, 50802, 54021, 50802, 50799, 54006, 50824, 58314, 52442, 55988, 52442, 57183, 50824, 54785, 51029, 53928, 50824, 55575, 52442, 55321, 52442, 56885, 50824, 53033, 63398, 52194, 50802, 54486, 50802, 52064, 50802, 53511, 52030, 53084, 50802, 56376, 50802, 54785, 50802, 53122, 50802, 56271, 50802, 53033, 52125, 52194, 51009 ]
[ 0, 713, 748, 1879, 15525, 3495, 2214, 11, 230, 538, 22750, 1626, 5823, 8, 19333, 9866, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 20889, 9, 3982, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 20902, 11739, 9, 3459, 13305, 6, 20535, 2810, 6, 228, 438, 4781, 2088, 6757, 6, 8, 36075, 8669, 6, 70, 8216, 7, 63, 17627, 17274, 8, 15352, 30054, 2048, 4, 20, 33215, 16739, 9, 274, 6, 230, 6, 272, 6, 274, 6, 8, 230, 4620, 5, 46336, 24456, 9, 42, 11653, 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 ]
[ 59626, 76501, 50623, 54197, 50933, 51027, 51199, 50900, 73528, 50871, 59219, 57410, 51050, 51254, 60643, 50933, 51027, 51199, 50877, 51806, 50900, 58194, 66102, 70550, 51050, 52718, 50900, 51709, 50916, 51709, 70179, 51026, 63821, 71278, 59242, 51315, 52063, 50450, 51026, 51709, 50916, 51709, 50861, 51709, 50900, 61341, 74827, 63190, 51315, 51079, 54206, 51199, 62440, 50902, 51380, 51027, 59219, 79018, 51097, 60284, 55191, 51027, 51199, 70990, 50902, 51380, 50871, 59219, 79018, 51097, 56014, 55512, 52216, 50297, 51277, 62335, 64066, 65482, 51199, 50899, 60473, 79442, 59791, 51027, 56943, 53693, 50297, 51642, 56415, 51484, 50997, 51199, 70990, 66283, 50931, 51199, 51026, 58794, 60473, 56109, 51050, 51254, 54197, 50933, 51027, 51199, 62440, 50900, 59219, 58327, 57410, 51050, 51254, 60643, 51051, 51027, 51709, 50877, 51806, 50900, 64636, 66102, 70550, 51050, 54938, 51026, 51709, 50916, 51709, 50968, 51253, 50900, 63821, 60250, 59791, 51315, 52059, 50450, 51026, 51709, 50900, 51709, 50876, 51806, 50916, 63821, 52454, 50320, 73786, 51315, 51079, 54197, 53130, 50302, 51709, 66283, 50899, 64636, 60473, 57410, 51050, 52688, 51027, 77803, 60242, 63257, 55378, 51050, 52169, 50302, 53130, 50299, 62543, 77413, 55659, 51050, 53130, 50301, 51314, 50871, 52212, 50877, 52212, 50444, 51050, 51824, 50450, 51050, 52256, 50456, 51431, 56419, 51431, 50884, 63355, 77886, 51709, 50876, 51253, 51027, 64636, 66920, 60115, 51431, 50940, 51050, 51006, 50424, 51485, 55341, 73773, 51027, 51309, 50877, 51806, 50900, 58194, 66102, 51330, 50429, 51898, 57943, 51050, 68232, 51431, 51158, 50435, 51027, 52788, 64528, 50916, 73528, 51026, 58794, 62722, 56350, 51315, 52059, 50447, 51431, 54596, 51509, 74301, 51199, 50916, 51199, 50861, 51709, 50900, 58327, 74827, 51108, 50453, 51579, 58603, 51315, 51079, 65578, 50859, 73773, 70990, 62440, 51027, 59219, 60473, 66885, 52067, 55180, 52067, 51235, 51050, 51172, 57025, 51199, 70990, 50871, 70024, 70550, 51579, 51879, 50297, 68506, 60663, 51579, 54993, 73773, 50906, 51568, 50302, 51484, 70990, 50902, 62646, 77052, 51509, 54815, 51509, 51442, 50297, 60242, 54058, 50997, 51484, 70990, 62440, 50906, 51380, 50931, 51380, 51026, 58794, 70062, 62214, 51050, 51006, 50799, 52067, 51879, 50297, 50933, 51027, 51199, 50871, 51312, 50900, 59219, 60250, 50981, 50417, 52067, 56763, 51050, 51174, 50423, 52336, 51215, 60643, 50933, 51027, 51199, 50877, 51709, 50900, 58194, 61341, 64809, 52067, 50859, 51050, 52718, 52067, 67027, 51199, 50916, 51199, 50968, 51312, 50900, 58794, 59937, 77052, 51579, 52597, 51315, 51884, 50450, 51026, 51199, 50900, 62697, 51709, 50916, 58794, 74827, 51108, 50453, 52067, 54353, 51579, 51804, 50296, 51254, 50459, 51579, 50893, 54197, 52169, 50302, 51199, 50906, 51312, 50899, 58194, 61739, 70544, 51509, 50977, 60284, 51079, 57025, 52169, 50304, 56943, 56964, 54259, 50997, 52169, 50297, 63141, 55332, 72397, 58151, 51050, 51008, 51027, 51244, 50871, 75656, 63323, 51050, 51824, 50450, 51050, 51738, 50459, 51431, 50840, 63355, 51879, 50297, 51008, 50871, 73387, 51380, 50900, 51380, 50876, 51253, 50877, 50981, 50417, 51431, 50991, 60284, 78067, 75850, 51485, 51936, 50297, 51008, 51027, 51380, 77116, 50900, 63348, 55665, 51509, 77036, 65867, 51485, 54993, 50900, 75501, 51380, 70179, 51026, 61087, 78172, 75576, 51431, 54400, 51315, 52063, 50450, 51509, 74301, 51199, 50916, 51199, 65735, 50900, 58327, 62722, 70256, 51579, 59465, 51315, 51470, 50460, 51579, 50924, 54197, 50827, 70990, 67104, 51027, 59219, 63129, 50981, 50417, 52067, 50948, 60284, 51576, 50426, 52067, 51215, 51027, 51199, 70990, 50871, 64924, 57648, 51050, 55512, 75256, 51579, 54773, 51579, 50859, 51050, 64066, 52415, 50302, 51484, 70990, 50902, 51312, 50871, 77052, 51509, 54811, 51050, 60242, 52063, 50445, 51509, 58710, 50997, 51484, 70990, 62440, 50906, 51709, 50931, 51709, 51026, 58794, 67889, 63190, 51050, 51254, 50799, 52067, 51804, 50297, 51008, 51027, 51380, 50871, 51380, 50900, 66920, 63348, 51097, 50417, 52067, 51158, 60284, 50838, 50424, 52336, 59204, 51050, 51008, 51027, 51380, 77116, 50900, 64307, 58327, 55665, 52067, 50952, 51050, 54938, 52067, 74301, 75501, 51380, 50968, 51709, 50900, 61087, 61341, 51108, 50441, 51579, 60835, 51315, 52063, 50450, 51026, 51380, 50900, 51380, 50876, 51709, 50916, 61087, 74827, 63190, 52067, 50859, 51315, 51481, 50459, 51579, 50809, 65578, 51442, 50297, 50933, 50997, 51199, 50906, 51806, 50899, 58194, 70024, 72497, 51509, 51110, 51050, 51481, 57025, 52169, 50304, 56943, 58681, 53308, 51050, 52169, 50302, 52169, 50299, 55332, 64290, 54137, 51050, 64238, 78166, 51244, 50877, 63897, 51050, 51365, 50871, 71320, 52067, 50858, 51050, 52056, 51050, 51709, 50453, 51579, 64503, 51509, 51235, 54852, 53130, 50301, 51712, 50297, 51380, 50871, 51709, 50899, 70062, 51108, 52009, 51314, 52547, 51449, 53051, 51449, 52350, 51671, 52789, 51447, 54775, 52829, 52086, 51080, 52561, 51314, 56945, 51419, 50877, 51637, 50426, 52067, 50921, 50871, 53130, 50297, 51253, 69545, 50902, 51709, 50429, 52629, 54154, 53954, 75522, 51961, 60496, 72608, 73387, 51253, 78120, 50876, 51806, 51716, 51314, 52901, 51447, 51882, 51244, 52561, 79882, 51050, 51419, 50877, 52441, 50450, 52629, 51804, 50301, 51253, 50871, 51806, 50900, 60250, 51330, 50453, 52629, 56277, 51579, 50893, 54197, 64290, 64569, 51253, 69545, 50871, 60473, 50932, 52009, 51314, 52547, 51449, 53909, 51314, 53853, 51447, 52789, 51447, 52077, 51314, 52561, 51314, 50417, 51509, 50936, 60284, 51961, 50906, 53674, 50426, 51485, 50858, 50997, 51709, 50899, 60138, 67889, 51108, 50430, 51431, 62960, 52067, 54930, 51050, 53131, 50309, 53130, 50301, 51709, 50877, 51709, 50900, 58327, 51097, 51716, 51314, 53051, 51314, 52350, 51671, 52901, 55174, 51855, 52147, 52561, 51314, 57428, 52056, 51050, 75589, 51027, 52169, 50304, 51380, 50877, 60250, 62214, 51027, 51679, 50871, 51381, 50799, 52067, 72828, 68506, 53130, 50297, 51709, 50876, 51312, 51716, 51314, 52547, 51314, 53051, 51314, 50417, 52067, 51158, 57340, 52845, 50304, 51419, 50424, 52336, 50967, 53645, 53535, 50297, 51709, 51027, 58327, 67995, 52067, 71368, 71113, 52067, 66087, 53130, 50311, 53130, 50299, 51806, 70179, 50916, 65377, 50995, 51716, 51314, 52295, 51314, 52471, 51314, 52277, 51447, 53676, 51447, 50441, 51579, 50952, 58365, 52845, 50304, 78378, 50876, 53535, 50308, 52056, 50916, 51380, 51026, 62214, 52067, 73624, 67273, 51579, 50809, 65578, 51442, 50297, 51380, 50899, 51380, 62440, 50997, 66412, 60473, 50932, 52009, 51314, 52547, 51449, 53909, 51314, 53853, 51447, 52789, 51447, 54775, 51671, 50420, 51509, 51110, 57025, 77615, 68506, 52415, 50297, 58722, 54342, 51026, 52363, 50302, 66044, 69887, 57935, 63785, 56298, 51027, 52363, 50297, 53010, 51050, 51244, 50900, 51244, 50876, 51314, 50877, 51314, 51716, 51703, 53051, 51703, 52350, 51447, 52901, 51447, 57428, 51480, 51027, 78378, 51050, 59435, 50871, 64735, 51431, 50818, 63355, 50921, 73773, 50871, 51962, 50301, 51199, 50900, 62697, 51253, 50877, 50981, 51716, 51314, 52547, 51314, 53051, 51314, 52350, 51447, 52901, 51671, 54775, 51447, 50420, 51431, 50808, 51050, 53131, 50309, 76695, 51485, 51160, 60643, 50933, 51027, 51199, 77116, 50900, 58327, 61578, 51792, 50941, 74052, 51509 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 2214, 19, 10, 7212, 20889, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 8, 3459, 29589, 6, 3459, 9590, 6, 8, 10, 6755, 12547, 6, 2351, 10, 31612, 8, 19448, 2365, 5466, 6, 19, 5, 33215, 16739, 274, 10431, 119, 6, 272, 6, 163, 119, 6, 381, 6, 8, 272, 119, 1176, 406, 11, 5, 762, 9, 211, 538, 8, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56103, 52982, 51195, 52154, 51920, 52432, 51007, 50800, 51195, 52296, 70552, 51195, 51740, 52437, 50843, 51920, 54013, 51840, 50800, 51195, 51628, 51649, 51358, 51195, 51358, 57315, 64271, 52210, 51708, 50991, 57702, 53545, 51232, 50991, 59007, 50795, 51350, 52154, 51920, 52432, 50909, 50800, 51350, 52296, 51439, 50991, 51350, 51740, 52437, 50843, 51920, 54013, 51350, 51628, 51649, 51358, 51350, 51358, 57315, 63209, 52210, 51280, 50991, 51198, 50991, 51099, 50991, 57702, 53545, 51099, 50991, 71755, 50795, 51659, 52154, 51920, 52432, 50909, 50800, 51659, 52296, 70552, 51659, 51740, 52437, 50843, 51920, 54013, 51840, 50800, 51659, 51628, 51649, 51358, 51659, 51358, 57315, 64271, 52210, 51099, 51798, 51280, 52154, 53545, 51099, 51161, 71755, 50795, 51659, 52154, 51920, 52432, 50909, 50800, 51659, 52296, 51439, 50991, 51659, 51740, 52437, 50843, 51920, 54013, 51659, 51628, 51649, 50983, 51659, 51358, 57315, 63209, 52396, 52138, 50800, 59089, 54982, 53545, 52548, 51754, 51649, 52567, 51439, 50800, 64170, 51036, 51007, 51036, 51439, 51036, 51649, 51036, 51250, 51036, 51630, 51036, 52018, 51605, 50843, 51920, 53423, 50856, 52437, 50843, 51920, 54013, 51808, 51628, 51669, 52262, 52043, 51724, 51669, 52732, 59839, 52210, 51808, 52513, 51669, 50991, 57702, 52349, 51808, 50795, 66709, 74776, 51161, 51007, 51161, 51840, 51161, 51545, 50800, 51415, 51036, 50843, 51920, 52432, 51545, 52296, 51545, 51740, 52437, 50843, 51920, 54013, 51545, 51628, 51545, 51646, 50843, 64271, 52396, 50935, 52154, 53545, 51007, 51754, 51840, 50795, 64170, 51036, 51007, 51036, 51439, 51036, 52548, 51036, 51250, 50800, 52018, 51605, 50843, 51920, 52432, 51250, 52296, 51808, 50800, 51250, 51740, 52437, 51669, 52154, 51920, 54013, 52043, 50800, 51250, 51628, 52043, 51091, 51250, 51646, 50843, 59839, 53641, 51669, 51757, 51669, 52732, 52349, 51669, 50807, 66709, 74776, 51036, 51007, 51036, 51840, 51036, 51545, 50800, 51415, 51161, 50843, 51920, 52432, 51808, 50800, 51545, 52296, 52043, 50991, 51545, 51740, 52437, 50843, 51920, 54013, 51545, 51628, 51669, 50800, 51545, 53505, 51808, 51724, 51808, 52732, 63209, 52210, 51808, 58624, 52646, 52732, 52349, 72384, 59560, 50795, 51250, 50800, 51133, 51605, 50843, 51920, 52432, 50847, 50800, 51250, 52296, 51669, 57561, 50991, 51250, 51740, 52437, 52043, 52732, 51920, 54013, 51250, 51628, 52257, 77179, 51250, 51646, 52257, 59192, 54982, 59839, 52210, 53335, 52513, 53335, 51798, 50935, 52732, 53545, 53335, 51754, 52043, 50800, 53449, 52018, 52567, 52043, 50991, 52646, 50800, 59007, 50918, 50935, 50918, 51250, 50800, 51817, 63185, 51920, 52432, 51660, 50800, 51250, 52296, 51660, 50800, 51250, 51740, 52437, 51808, 52154, 51920, 54013, 51808, 50795, 51250, 51628, 65654, 51415, 53505, 51440, 51724, 51440, 54572, 77560, 50918, 51011, 63185, 63209, 52210, 51808, 50983, 57702, 52349, 75493, 51415, 54093, 51350, 50800, 59560, 50918, 50847, 50918, 51250, 50800, 51133, 68754, 51920, 52432, 51250, 52296, 66197, 51250, 51740, 52437, 51669, 52154, 51920, 54013, 51669, 50800, 51250, 51628, 52043, 50807, 51250, 51646, 50848, 71365, 50918, 51271, 68754, 59839, 52210, 51669, 51798, 51607, 52154, 53545, 51607, 50991, 54838, 51607, 55990, 50918, 51007, 50918, 51250, 50800, 52018, 52045, 50843, 51920, 52432, 51808, 50795, 51250, 52296, 51250, 51740, 52437, 51440, 52732, 51920, 54013, 51250, 51628, 66197, 51250, 53505, 51434, 51646, 51439, 51161, 51649, 51161, 54039, 51161, 50843, 64271, 53905, 51434, 50991, 51250, 51820, 51250, 51798, 51275, 51161, 51435, 51161, 51516, 51161, 51837, 51161, 51250, 52154, 53545, 51250, 50800, 50462, 51250, 52154, 59069, 50468, 51250, 50800, 50471, 51250, 51740, 50818, 50474, 52138, 52154, 59069, 50477, 52548, 50800, 51250, 50800, 50480, 51649, 50800, 51250, 71348, 62553, 50818, 50483, 51439, 50800, 51817, 50800, 65237, 51036, 51198, 52045, 51099, 51036, 51429, 52045, 50847, 51036, 51007, 51036, 51439, 51036, 52548, 51036, 51250, 50800, 51357, 50991, 52018, 51605, 54161, 52432, 51250, 52296, 51250, 50800, 51107, 66739, 52437, 50843, 54013, 51944, 50800, 51250, 51049, 52209, 51669, 50800, 51250, 50795, 51558, 79000, 53593, 52043, 51370, 52565, 50804, 52141, 53905, 51669, 51049, 52210, 51669, 51049, 53641, 51669, 52732, 52396, 50843, 53545, 52043, 51370, 52349, 51271, 51049, 53902, 53335, 51091, 52022, 51049, 50818, 72722, 50918, 51494, 50918, 51042, 51036, 50944, 51036, 50935, 51036, 51007, 51036, 51840, 51036, 52548, 51036, 51545, 50800, 51357, 50991, 51415, 51161, 73621, 51402, 52432, 51545, 51049, 53423, 51545, 50800, 51107, 66739, 52437, 50843, 54013, 51545, 51049, 52209, 51545, 50795, 51558, 51358, 66079, 51556, 52565, 52040, 51907, 52141, 53905, 52040, 56958, 52210, 51429, 51049, 53641, 51275, 52732, 52396, 52040, 52154, 53545, 52040, 50800, 51578, 56958, 52349, 52040, 71348, 51049, 53902, 51817, 51049, 50818, 65237, 51358, 51198, 51358, 51516, 51036, 50847, 51036, 51007, 51036, 51439, 51036, 52548, 51036, 51250, 50800, 51357, 50991, 52018, 51605, 73621, 51402, 52432, 66197, 51250, 51049, 53423, 51669, 50795, 51250, 50800, 51107, 66739, 52437, 50843, 54013, 51669, 50800, 51250, 51049, 52209, 51669, 50795, 51250, 50795, 51558, 51358, 66079, 51556, 52565, 52043, 51626, 71332, 51572, 52210, 51669, 50800, 51869, 51370, 53641, 51669, 52732, 52396, 68946, 51099, 52732, 53545, 52043, 52959, 52349, 51869, 71348, 51049, 53902, 51133, 51049, 50818, 72722, 50918, 51494, 50918, 51042, 51036, 50944, 51036, 50935, 51036, 51007, 51036, 51840, 51036, 52548, 51036, 51545, 50800, 51357, 50991, 51415, 51358, 50843, 54639, 51808, 51049, 52432, 52043, 50795, 51545, 51049, 53423, 51545, 50800, 51107, 66739, 52437, 52043, 66739, 54013, 51545, 51049, 52209, 51545, 50795, 51558, 79000, 53593, 51669, 51049, 52565, 51808, 50795, 52040, 51907, 52141, 53905, 52040, 51370, 52210, 51429, 50800, 51415, 51370, 53641, 52040, 50800, 51275, 52732, 52396, 52040, 50800, 52646, 52732, 53545, 52040, 50800, 51578, 56958, 52349, 52040, 50795, 51415, 51370, 50818, 51621, 50818, 60603, 51036, 51516, 51161, 50885, 51036, 50847, 51036, 50909, 51036, 51149, 51036, 51439, 51036, 52138, 51036, 51250, 50800, 51357, 50991, 51133, 51605, 73621, 51402, 52432, 51250, 51049, 53423, 51669, 50800, 51250, 50800, 51107, 66739, 52437, 52043, 52732, 54013, 51250, 51049, 52209, 52257, 50800, 51250, 50795, 51558, 79000, 53593, 52257, 51370, 52565, 50804, 52141, 53905, 53335, 51049, 52210, 53335, 56958, 53641, 50843, 52396, 71269, 51489, 54982, 53545, 52043, 51049, 52349, 52043, 50795, 52018, 51049, 53902, 52646, 51049, 50818, 69935, 50918, 52040, 50918, 51429, 77560, 50918, 50935, 50918, 51149, 50918, 51439, 50918, 52548, 50918, 51250, 50800, 51357, 50991, 51817, 63185, 50818, 51402, 52432, 51440, 50800, 51250, 51049, 53423, 51440, 50800, 51250, 50800, 51107, 66739, 52437, 51808, 66739, 54013, 51250, 51049, 52209, 65654, 51558, 50795, 51415, 51370, 53593, 51440, 51370, 52565, 51708, 50991, 51232, 50991, 51119, 77560, 71365, 50918, 50909, 50918, 51149, 50918, 51649, 79383, 72695, 61711, 52141, 53905, 51440, 51049, 52210, 51808, 51370, 53641, 52040, 50800, 51488, 51091, 51284, 69956, 52396, 51847, 52732, 50818, 51647, 52349, 51708, 50795, 75493, 51415, 51370, 53902, 51350, 51049 ]
[ 0, 250, 2933, 8, 20425, 5175, 3152, 2214, 4246, 30587, 8, 81, 9756, 29589, 6, 25044, 139, 10170, 1499, 6, 18558, 18046, 6, 8, 579, 1517, 20426, 31365, 25999, 4, 20, 7212, 20889, 15229, 16, 11, 204, 73, 306, 86, 6543, 8, 272, 538, 762, 6, 19, 10, 33215, 16739, 9, 381, 6, 211, 6, 272, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57211, 50799, 51245, 51029, 51323, 51029, 51746, 51029, 51478, 51029, 55062, 51029, 55062, 51029, 52172, 51029, 53319, 61511, 51404, 50803, 51323, 50803, 52232, 50803, 60293, 50803, 52172, 50803, 52172, 52674, 51404, 51059, 51323, 51059, 52232, 51059, 60293, 50824, 52172, 51059, 52172, 51059, 50799, 51245, 50993, 51746, 50993, 51478, 50993, 55062, 50993, 53319, 50993, 53319, 59101, 67212, 51746, 50802, 51478, 50802, 55062, 50802, 53319, 50802, 53319, 52030, 51823, 50803, 51839, 50803, 52232, 50803, 61594, 50803, 52436, 50803, 52436, 52674, 51245, 50975, 51746, 50975, 51478, 50975, 55062, 50993, 53319, 50993, 53319, 50824, 50443, 51839, 50817, 52232, 52267, 51323, 50817, 51593, 59587, 52074, 50817, 51746, 56877, 51245, 50817, 51839, 53851, 51823, 50961, 51323, 73128, 51497, 50828, 52074, 58501, 51404, 50829, 51245, 52802, 51555, 50802, 51902, 50802, 51612, 50802, 67212, 51746, 50802, 51478, 50802, 71962, 50802, 50715, 50303, 50802, 58613, 52325, 51584, 50803, 52170, 50803, 52075, 50803, 51323, 50803, 52232, 50803, 51770, 50803, 77153, 64419, 66323, 50803, 66540, 50803, 60293, 50803, 57585, 51063, 52937, 52587, 50803, 51555, 50803, 51902, 50803, 51612, 50803, 62593, 51746, 50803, 51478, 50803, 71962, 50803, 50715, 50303, 50803, 58613, 50803, 60139, 51184, 52041, 50802, 51555, 50802, 51567, 50802, 51478, 50803, 70450, 67212, 51767, 51184, 51263, 51184, 51347, 51184, 51940, 51732, 50715, 50296, 50802, 71962, 50802, 61322, 50802, 51386, 52737, 51063, 52737, 51143, 52737, 50417, 51593, 52244, 52041, 50802, 51555, 50802, 51567, 50802, 70450, 67212, 74391, 50715, 50296, 50802, 71962, 50802, 61322, 52038, 52041, 50802, 51555, 50802, 51567, 50802, 70450, 67212, 74391, 50715, 50296, 50802, 71962, 50802, 61322, 52030, 51783, 50802, 51902, 50802, 51612, 50802, 66227, 51746, 50802, 51478, 50802, 67687, 50802, 50715, 50303, 50802, 58613, 52125, 51555, 50824, 51567, 50824, 52075, 63691, 50824, 51593, 50824, 51770, 50824, 71962, 50824, 61322, 50824, 60293, 54145, 54308, 50802, 52041, 50802, 51555, 50802, 51245, 50823, 61603, 70450, 62166, 50802, 50715, 50296, 50802, 71962, 67897, 51245, 57859, 52074, 52193, 52679, 50803, 51783, 50803, 51584, 50803, 51347, 51407, 51497, 51407, 51323, 51407, 50715, 50292, 50803, 67687, 50803, 66323, 50803, 50763, 50320, 52937, 54308, 50803, 52041, 50803, 51555, 50803, 62166, 50803, 50715, 50296, 50803, 71962, 50803, 50763, 50323, 50803, 58777, 51184, 52679, 51009, 51783, 51009, 51584, 51009, 51498, 51184, 51200, 51184, 51347, 51184, 51497, 51184, 51593, 51184, 52106, 51184, 50715, 50292, 51009, 67687, 51009, 66323, 51009, 50763, 50323, 50803, 50763, 50328, 50803, 50763, 50337, 54024, 50763, 50333, 50803, 50763, 50337, 52244, 50763, 50320, 52801, 50763, 50323, 51973, 50763, 50323, 50803, 50763, 50328, 50803, 50763, 50337, 53300, 50763, 50333, 50803, 50763, 50337, 52119, 50763, 50320, 52674, 50763, 50323, 52057, 50763, 50323, 50803, 50763, 50328, 50803, 50763, 50337, 53609, 50763, 50333, 50803, 50763, 50337, 52284, 50763, 50320, 52911, 50763, 50323, 52116, 50763, 50323, 50803, 50763, 50328, 50803, 50763, 50337, 53532, 50763, 50333, 50803, 50763, 50337, 52163, 50763, 50320, 52937, 50763, 50323, 50803, 50799, 51584, 50824, 51902, 50824, 51612, 50824, 51323, 50824, 51746, 50824, 51478, 50824, 66323, 50824, 50715, 50303, 50824, 58613, 50824, 50763, 50323, 50803, 50763, 50328, 50803, 50763, 50337, 54024, 50763, 50333, 50803, 50763, 50337, 51973, 51584, 50802, 51902, 50802, 51612, 58527, 50802, 51746, 50802, 51478, 50802, 66323, 50802, 50715, 50303, 50802, 58613, 52030, 52041, 50803, 51584, 50803, 52170, 50803, 51404, 50803, 51323, 50803, 52232, 50803, 50715, 50296, 50803, 66323, 50803, 66540, 52674, 52041, 51059, 51584, 51059, 52170, 51059, 51404, 51059, 51323, 51059, 52232, 51059, 50715, 50296, 51059, 66323, 51059, 66540, 51059, 50449, 50816, 52568, 50798, 52050, 50817, 62028, 54217, 59668, 54217, 50453, 50798, 52050, 50817, 51528, 52050, 67958, 51995, 51184, 51478, 50802, 51409, 51184, 51263, 51184, 51188, 51184, 51245, 51184, 51478, 61912, 51478, 52038, 50852, 50961, 51746, 61536, 50852, 68388, 50852, 58146, 50852, 57834, 50852, 58976, 50852, 52265, 69302, 52232, 57476, 50852, 56987, 50852, 53785, 69302, 51478, 50824, 50436, 50852, 57776, 50852, 52676, 50852, 57512, 50852, 62968, 50852, 54129, 50852, 60178, 50852, 58772, 50852, 52267, 50852, 59587, 50852, 56877, 50852, 53851, 50852, 51031, 50448, 50852, 71540, 50852, 53711, 51478, 52325, 51770, 52937, 51478, 50803, 51528, 52050, 66995, 52587, 51184, 51593, 50993, 51767, 51184, 51263, 51184, 51347, 51184, 51404, 51184, 51593, 74899, 51335, 51129, 51593, 61536, 51206, 75181, 51335, 64044, 51206, 66221, 51335, 62000, 51206, 53575, 51335, 50863, 51478, 57476, 51206, 58039, 51335, 53439, 51206, 50829, 51770, 51059, 50436, 51335, 57352, 51206, 52600, 51335, 57927, 51206, 62078, 51335, 55201, 51206, 58408, 51335, 62860, 51206, 52267, 51335, 59587, 51206, 56877, 51335, 61970, 51206, 72989, 51335, 61576, 51206, 53595, 51335, 50818, 51245, 59712, 51206, 63317, 51335, 54363, 51206, 59617, 51335, 57583, 51206, 53017, 51335, 50835, 51323, 58691, 51206, 57110, 51335, 55053, 51206, 61824, 51335, 59119, 51206, 50928, 58777, 51184, 51593, 51184, 51767, 51732, 51498, 51732, 51200, 51732, 51347, 51732, 51323, 77076, 60390, 50803, 61893, 50803, 50714, 50333, 52801, 60390, 50802, 61893, 50802, 50714, 50333, 52030, 57381, 50803, 61297, 50803, 50714, 50332, 52674, 57381, 50802, 61297, 50802, 50714, 50332, 52313, 55562, 50803, 60390, 50803, 76949, 52911, 55562, 50802, 60390, 50802, 76949, 52325, 56276, 50803, 57381, 50803, 61893, 52937, 56276, 50802, 57381, 50802, 61893, 50802, 52591, 55156, 50803, 55562, 50803, 61297, 52801, 55156, 50802, 55562, 50802, 61297, 52030, 54486, 50803, 56276, 50803, 60390, 52674, 54486, 50802, 56276, 50802, 60390, 52313, 54645, 50803, 55156, 50803, 57381, 52911, 54645, 50802, 55156, 50802, 57381, 52175, 50798, 64764, 54085, 50816, 52193, 50798, 52050, 59976, 54837, 50803, 54486, 50803, 55562, 52937, 54837, 50802, 54486, 50802, 55562, 50802, 51528, 59976, 52645, 50993, 51770, 50824, 51778, 50993, 51278, 50993, 51329, 50993, 51219, 50993, 51211, 50993, 52389, 52050, 59976, 51770, 50824, 61469, 51063, 55396, 72246, 51450, 59976, 52645, 50993, 51770, 50824, 51778, 50993, 51278, 50993, 51329, 50993, 51219, 50993, 51211, 50993, 57613, 52050, 59976, 51770, 50824, 61469, 56668, 54706, 50817, 51528, 59976, 52645, 50993, 51770, 50824, 51778, 50993, 51278, 50993, 51329, 50993, 51219, 50993, 51211, 50993, 52389, 52050, 59976, 51770, 50824, 61469, 51063, 55396, 72246, 51450, 59976, 52645, 50993, 51770, 50824, 51778, 50993, 51278, 50993, 51329, 50993, 51219, 50993, 51211, 50993, 57613, 52050, 59976, 51770, 50824, 61469, 56668, 54706, 50817, 51528, 59976, 52645, 50993, 51770, 50824, 51940, 50824, 51778, 50993, 51278, 50993, 51329, 50993, 51219, 50993, 51211, 50993, 52389, 52050, 59976, 51770, 50824, 51940, 50824, 61469, 51063, 55396, 72246, 51450, 59976, 52645, 50993, 51770, 50824, 51940, 50824, 51778, 50993, 51278, 50993, 51329, 50993, 51219, 50993, 51211, 50993, 57613, 52050, 59976, 51770, 50824, 51940, 50824, 61469, 56668, 54706, 50817, 51528, 59976, 52645, 50993, 51770, 50824 ]
[ 0, 250, 7212, 12, 17950, 5873, 5175, 2214, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 163, 428, 538, 4, 85, 1575, 10, 11739, 9, 32017, 6, 38668, 20535, 6, 1515, 21305, 6, 21677, 32909, 6, 8, 21072, 6, 2351, 10, 2216, 2369, 18795, 14, 7630, 6568, 10, 3344, 9, 1372, 8, 2933, 6711, 29, 6, 19, 10, 11602, 9, 10, 177, 12, 3341, 5466, 4, 20, 33215, 16739, 9, 274, 401, 8, 12608, 119, 1176, 406, 3639, 7, 5, 15352, 30054, 2574, 9, 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 ]
[ 57211, 51528, 61202, 75540, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 51170, 73684, 67200, 52728, 50798, 67200, 50807, 50799, 58626, 51036, 57745, 51036, 57645, 51036, 56033, 51036, 54843, 50838, 73870, 59962, 61202, 52115, 54326, 52062, 51240, 51631, 50798, 61202, 63977, 51736, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 63977, 51646, 50685, 50319, 64880, 73467, 64880, 50798, 54397, 73349, 51918, 51383, 55154, 51798, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 56252, 51270, 51923, 51383, 50795, 50799, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 59962, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 62452, 51832, 50685, 50326, 69626, 51646, 50685, 50319, 56123, 73467, 56123, 50798, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 52544, 56203, 57429, 50795, 51383, 50795, 50799, 58626, 51036, 57745, 51036, 57645, 51036, 56033, 51036, 54843, 50838, 73870, 59962, 61202, 52115, 54326, 52062, 51240, 51631, 50798, 61202, 63977, 51736, 50685, 50319, 58306, 73467, 58306, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 63977, 73684, 54397, 73349, 51918, 51383, 55154, 51798, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 56252, 51270, 51923, 51383, 50795, 50799, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 59962, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 62452, 51832, 50685, 50326, 69626, 51646, 50685, 50319, 56123, 73467, 56123, 50798, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 52544, 56203, 57429, 50795, 51383, 51923, 57822, 52567, 56326, 50800, 50799, 64769, 51029, 58626, 51036, 57745, 51036, 57645, 51036, 56033, 51036, 54326, 51243, 73870, 59962, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 57822, 52382, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 63977, 51646, 50685, 50319, 53142, 73467, 53142, 50798, 54397, 73349, 51918, 51383, 55154, 51798, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 56252, 51270, 51923, 51383, 50795, 50799, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 59962, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 62452, 50912, 50685, 50326, 63685, 51646, 50685, 50319, 51330, 73467, 73016, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 52544, 56203, 57429, 50795, 51383, 50795, 50799, 58626, 51036, 57745, 51036, 57645, 51036, 56033, 51036, 54326, 50827, 73870, 59962, 61202, 55728, 54843, 53004, 54326, 52062, 51240, 51631, 50798, 61202, 63977, 51736, 50685, 50319, 53486, 73467, 53486, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 63977, 73684, 54397, 73349, 51918, 51383, 55154, 51798, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 56252, 51270, 51923, 51383, 50795, 50799, 50685, 50319, 52519, 73467, 52519, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 59962, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 62452, 50984, 50685, 50326, 71852, 51646, 50685, 50319, 51466, 73467, 51466, 50798, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 50798, 57429, 50795, 51383, 51923, 54843, 50838, 50799, 51996, 50983, 51946, 50983, 52032, 50983, 52601, 50983, 54326, 51243, 73870, 55157, 61202, 52115, 51240, 60010, 58626, 51605, 50424, 57745, 51161, 50425, 57645, 57944, 56033, 59962, 61202, 63977, 51736, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 50795, 72352, 50983, 51170, 51646, 56326, 52221, 54397, 73349, 51918, 51383, 55154, 51798, 57822, 50795, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 50795, 73870, 52221, 73349, 51923, 55693, 50795, 51383, 50795, 50799, 56126, 51161, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 54805, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 51170, 51646, 66242, 52221, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 57822, 50795, 72352, 52221, 57429, 50795, 51383, 51923, 56126, 50795, 50799, 56326, 50795, 51996, 50983, 51946, 50983, 52032, 50983, 52601, 50983, 73870, 55157, 61202, 52115, 57822, 51605, 51240, 60010, 58626, 51605, 50424, 57745, 51161, 50425, 57645, 57944, 56033, 59962, 61202, 63977, 51736, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 50795, 72352, 50983, 51170, 73684, 54397, 73349, 51918, 51383, 55154, 51798, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 50795, 73870, 52221, 73349, 51923, 51383, 50795, 50799, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 54805, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 51170, 51646, 66242, 52221, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 52685, 50932, 72352, 52221, 57429, 50795, 51383, 50795, 50799, 58626, 51036, 57745, 51036, 57645, 51036, 56033, 51036, 51996, 50983, 51946, 50983, 52032, 50983, 52601, 50983, 73870, 55157, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 56326, 50983, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 50795, 72352, 50983, 51170, 73684, 54397, 73349, 51918, 51383, 55154, 51798, 57822, 50795, 51996, 50795, 51946, 50795, 52032, 50795, 52601, 50795, 73870, 52221, 73349, 51923, 55693, 50795, 51383, 50795, 50799, 56126, 51161, 57745, 51036, 57645, 51036, 56084, 51036, 57464, 51036, 51946, 51161, 52032, 51161, 52601, 51161, 66242, 54805, 73349, 61202, 52115, 51240, 51631, 50798, 61202, 63977, 51736, 51170, 51646, 66242, 52221, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 57822, 50795, 66242, 52221, 57429, 50795, 51383, 51923, 56126, 50795, 50799, 56326, 51161, 58626, 50795, 57645, 50795, 56033, 50795, 52032, 50983, 52601, 50983, 53151, 50983, 72352, 55157, 61202, 52115, 58626, 50983, 57645, 50983, 56033, 50983, 51240, 51631, 50798, 61202, 63977, 51736, 52032, 51358, 52601, 51358, 53151, 51358, 72352, 63977, 51646, 67687, 55157, 54397, 73349, 51918, 51383, 55154, 51798, 56126, 56252, 51270, 51923, 57822, 51605, 67687, 50795, 51383, 50795, 50799, 57645, 50795, 56033, 50795, 56290, 50795, 51996, 50983, 52032, 50983, 52601, 50983, 72352, 54805, 73349, 61202, 52115, 57645, 50807, 56033, 50807, 56290, 50807, 51240, 51631, 50798, 61202, 63977, 51736, 57645, 50807, 51996, 51358, 52032, 51358, 52601, 51358, 51170, 51646, 72352, 52221, 57429, 54397, 50795, 51383, 51918, 56084, 73349, 55154, 51798, 56033, 50807, 72352, 52221, 57429, 50795, 51383, 50795, 50799, 64120, 51036, 57745, 51036, 56084, 51036, 50715, 50292, 58747, 61202, 52115, 52253, 50838, 51240, 51631, 53761, 50838, 52253, 53656, 61202, 63977, 51736, 64769, 50795, 52544, 51080, 50715, 50292, 51358, 51170, 51646, 64769, 52221, 54397, 73349, 51918, 51383, 55154, 51798, 56326, 56252, 51270, 51923, 56126, 50795, 52730, 50838, 51383, 50795, 50799, 64769, 50795, 62638, 51036, 57745, 51036, 57645, 51036, 52544, 50838, 50715, 50287, 55157, 73349, 61202, 52115, 56326, 50807, 52253, 50838, 51240, 51631, 53761, 53656, 61202, 63977, 51736, 56126, 50795, 52107, 51080, 52544, 51080, 50715, 50287, 51358, 51170, 51646, 57822, 54805, 57429, 54397, 50795, 51383, 51918, 51270, 55154, 51798, 50798, 57429, 50795, 51383 ]
[ 0, 250, 15352, 30054, 8, 20425, 11057, 12, 9144, 24904, 2214, 4246, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 1076, 560, 8, 2724, 368, 31365, 6673, 6909, 6, 278, 11, 10, 182, 1769, 20889, 8, 204, 73, 306, 86, 6543, 4, 20, 2125, 16, 11, 5, 762, 9, 274, 538, 6, 19, 10, 33215, 16739, 9, 274, 6, 211, 119, 6, 272, 119, 406, 6, 8, 230, 406, 4, 20, 14899, 8859, 7630, 6568, 10, 1472, 9, 11098, 8, 9733, 6, 442, 24, 10, 12365, 2031, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 50799, 50639, 76501, 51633, 50980, 52228, 50980, 51275, 50980, 72135, 50980, 51633, 50980, 51993, 50980, 53628, 50980, 52228, 50980, 51978, 50980, 51308, 50980, 51275, 50980, 51435, 50980, 51144, 51285, 51308, 51285, 51198, 51469, 51526, 70910, 53374, 51206, 50806, 51039, 52247, 51993, 50980, 51978, 50980, 51435, 62719, 66592, 51526, 54273, 68142, 51993, 50980, 51978, 50980, 51308, 50806, 51435, 50980, 51526, 70910, 51575, 52692, 51275, 73386, 51993, 50980, 51978, 50980, 51435, 50806, 51435, 62719, 69284, 51948, 50806, 51526, 53374, 72135, 51226, 53628, 51226, 71671, 51144, 50806, 51308, 50806, 51308, 51226, 51526, 70910, 51575, 52774, 71671, 51144, 50806, 51308, 53374, 51302, 66592, 51721, 50806, 53628, 50806, 51308, 50806, 51198, 51685, 51144, 51685, 51308, 51685, 51526, 54273, 68142, 51643, 50980, 52394, 50980, 51153, 50980, 51526, 70910, 53374, 51180, 52610, 51633, 50980, 52228, 50980, 51275, 62719, 53374, 50832, 52931, 51526, 54273, 53374, 50799, 52200, 51285, 52608, 51285, 51561, 50980, 51099, 50980, 51308, 50980, 51639, 51285, 51533, 66191, 57819, 50980, 73935, 50806, 51721, 50806, 52200, 50806, 54512, 50806, 53628, 50806, 52608, 50806, 75916, 51308, 50806, 51639, 52774, 51652, 50896, 51721, 50896, 52200, 50896, 54512, 50896, 53628, 50896, 52608, 50896, 51099, 50896, 51308, 50896, 51639, 55224, 51652, 50806, 51721, 50806, 52200, 50806, 54512, 50806, 53628, 50806, 52608, 50806, 75916, 51308, 50806, 51639, 52322, 51652, 50980, 51721, 50980, 52200, 50980, 54512, 50980, 53628, 50980, 52608, 50980, 51099, 50980, 51308, 50980, 51639, 56812, 51652, 50980, 51721, 50980, 52200, 50980, 54512, 50980, 53628, 50980, 52608, 50980, 51099, 50980, 51308, 50980, 51639, 50980, 50799, 51831, 52570, 51721, 52570, 51633, 52570, 56478, 52570, 53628, 52570, 52228, 52570, 51144, 51285, 51308, 51285, 51198, 51469, 51144, 52570, 51308, 52570, 51275, 52570, 51526, 70910, 53374, 72434, 51302, 66592, 51526, 54273, 68142, 51308, 50806, 51526, 70910, 51575, 52692, 51275, 73386, 51435, 52420, 69284, 51948, 50806, 51526, 53374, 61310, 50806, 51144, 50806, 51308, 50806, 51526, 70910, 51575, 52774, 71671, 51144, 50806, 51308, 53374, 51302, 66592, 51198, 51685, 51144, 51685, 51308, 51685, 51526, 54273, 53374, 55511, 70910, 51575, 52692, 50804, 50821, 52612, 50821, 51382, 50821, 53061, 52935, 51526, 52420, 50821, 52198, 50821, 65755, 50980, 52228, 50980, 71671, 51144, 50806, 51308, 50806, 51144, 51469, 51308, 51469, 51526, 70910, 53374, 51206, 52774, 71671, 51144, 50806, 51308, 74125, 51643, 50980, 52394, 62719, 66592, 51198, 51685, 51144, 51685, 51308, 51685, 51526, 54273, 68142, 51633, 50980, 52228, 50980, 51526, 70910, 53374, 51180, 52610, 51643, 50980, 52394, 62719, 69284, 51526, 53374, 72135, 50980, 53628, 50980, 71671, 75916, 51308, 50806, 51198, 50980, 51099, 50980, 51308, 50980, 51137, 70910, 51575, 52774, 71671, 75916, 51308, 74125, 51721, 51285, 53628, 51285, 51198, 51285, 51099, 51285, 51308, 51285, 50804, 66592, 51198, 51685, 51099, 51685, 51308, 51685, 51137, 54273, 68142, 51137, 70910, 53374, 51180, 52610, 51633, 50980, 52228, 50980, 51099, 50980, 51308, 50980, 51275, 62719, 53374, 50832, 52931, 51137, 54273, 53374, 71756, 50806, 52394, 50806, 51561, 51469, 51561, 51469, 51099, 51469, 51099, 51469, 51308, 51469, 51153, 51469, 51416, 51226, 53947, 50821, 51402, 53113, 51643, 50896, 52394, 55706, 50806, 51302, 66592, 51721, 50806, 53628, 50806, 51416, 54273, 68142, 51643, 50980, 52394, 50980, 51416, 70910, 53374, 51180, 52610, 51721, 50980, 53628, 62719, 69284, 51416, 53374, 71756, 51285, 52394, 51285, 51561, 51469, 51119, 51469, 51132, 70910, 51575, 52774, 51561, 50806, 51144, 50806, 51119, 50806, 51153, 53374, 51302, 66592, 51876, 51226, 51132, 54273, 68142, 51561, 50980, 51144, 50980, 51119, 50980, 51153, 50980, 51132, 70910, 53374, 51180, 52610, 51643, 50980, 52394, 50980, 51561, 50980, 51144, 50980, 51119, 50980, 51153, 62719, 53374, 50832, 52931, 51132, 54273, 61200, 65755, 50980, 52228, 50980, 71671, 51144, 50806, 51308, 50806, 51144, 51469, 51308, 51469, 51526, 70910, 51575, 52774, 71671, 51144, 50806, 51308, 74125, 51643, 50980, 52394, 62719, 66592, 51198, 51685, 51144, 51685, 51308, 51685, 51526, 54273, 68142, 51633, 50980, 52228, 50980, 51526, 70910, 53374, 51180, 52610, 51643, 50980, 52394, 62719, 69284, 51526, 53374, 72135, 50980, 53628, 50980, 51198, 50980, 51099, 50980, 51308, 50980, 51198, 51226, 51099, 51285, 51308, 51285, 51137, 70910, 53374, 51039, 52247, 51721, 50980, 53628, 50980, 51198, 50980, 51099, 50980, 51308, 62719, 66592, 51869, 50806, 51137, 54273, 68142, 51652, 50980, 54512, 50980, 51198, 50980, 51099, 50980, 51099, 50980, 51308, 50980, 51137, 70910, 53374, 51180, 52610, 51652, 50980, 54512, 50980, 51198, 50980, 51099, 50980, 51099, 50980, 51308, 62719, 53374, 50832, 52931, 51137, 54273, 61200, 71756, 50980, 52394, 50980, 51561, 50806, 75916, 51308, 50806, 51153, 50806, 51561, 51469, 51099, 51469, 51416, 51226, 53947, 50821, 51402, 53113, 51561, 50806, 75916, 51308, 50806, 51153, 74125, 51721, 50980, 53628, 62719, 66592, 51561, 51685, 51099, 51685, 51308, 51685, 51153, 51685, 51416, 54273, 68142, 51643, 50980, 52394, 50980, 51416, 70910, 53374, 51180, 52610, 51721, 50980, 53628, 62719, 69284, 51416, 53374, 71756, 51285, 52394, 51285, 51561, 50806, 51144, 50806, 51119, 50806, 51153, 50806, 51561, 51469, 51119, 51469, 51132, 70910, 51575, 52774, 51561, 50806, 51144, 50806, 51119, 50806, 51153, 53374, 51302, 66592, 51561, 51685, 51144, 51685, 51119, 51685, 51153, 51685, 51132, 54273, 68142, 51132, 51226, 51577, 51002, 63421, 53012, 53247, 50804, 50821, 52612, 53153, 51633, 50980, 52228, 50980, 51224, 55982, 51224, 52935, 51132, 71967, 54863, 51224, 50821, 71025, 50980, 51978, 50980, 51308, 50980, 51275, 50980, 51435, 50980, 51198, 51585, 51144, 51585, 51308, 51585, 51526, 70910, 53374, 51206, 50806, 51039, 52247, 51993, 50980, 51978, 50980, 51435, 62719, 66592, 51526, 54273, 68142, 51993, 50980, 51978, 50980, 51435, 50980, 51526, 70910, 53374, 51180, 52610, 51993, 50980, 51978, 50980, 51198, 50980, 51144, 50980, 51308, 50980, 51435, 62719, 69284, 51526, 53374, 72135, 51226, 53628, 51226, 51308, 51226, 51526, 70910, 51575, 52774, 71671, 51144, 50806, 51308, 53374, 51302, 66592, 51721, 50806, 53628, 50806, 51308, 50806, 51526, 54273, 68142, 51643, 50980, 52394, 50980, 51153, 50980, 51198, 51285, 51144, 51285, 51308, 51285, 51526, 70910, 53374, 51180, 52610, 51633, 50980, 52228, 50980, 51275, 62719, 53374, 50832, 52931, 51526, 54273, 53374, 50799, 52200, 51285, 52608, 51285, 51561, 50980, 51099, 50980, 51308, 50980, 51639, 51285, 51533, 66191, 57819, 50980, 50799, 52200, 50806, 52608, 50806, 75916, 51308, 50806, 51639, 52774, 52200, 50896, 52608, 50896, 51099, 50896, 51308, 50896, 51639, 55224, 52200, 50806, 52608, 50806, 75916, 51308, 50806, 51639, 52322, 52200, 50980, 52608, 50980, 51099, 50980, 51308, 50980, 51639, 56812, 52200, 50980, 52608, 50980, 51099, 50980, 51308, 50980, 51639, 50980, 65755, 56094, 52228, 56094, 51198, 51685, 51144, 51685, 51308, 51685, 51144, 56094, 51308, 56094, 51275, 56094, 51526, 51226, 53947, 50821, 51402, 50821, 72434, 51302, 66592, 51526, 54273, 53374, 55511, 70910, 51575, 52692, 51198, 51226 ]
[ 0, 713, 17627, 17274, 5175, 3495, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 22750, 1626, 11098, 8, 10563, 4, 20, 7275, 1097, 483, 1239, 5, 15352, 30054, 16450, 6, 2800, 30, 38668, 18569, 6, 10, 11491, 13871, 38668, 9590, 6, 8, 20425, 21072, 4, 31103, 5675, 22052, 1606, 41, 1823, 10490, 9, 18632, 7, 5, 2365, 12, 6928, 2369, 4, 20, 15229, 11498, 41, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57739, 56227, 50830, 56066, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50967, 56430, 56937, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 50823, 53534, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50830, 56430, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 74144, 50967, 55847, 50967, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 52356, 50811, 54445, 50823, 52308, 50301, 50830, 56066, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50967, 56430, 56937, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 74144, 51112, 61990, 51112, 65778, 51112, 52356, 50811, 54445, 50823, 52308, 50316, 50830, 74144, 50933, 74144, 50830, 74144, 50933, 74144, 50830, 61990, 50830, 61990, 50933, 61990, 50830, 61990, 50830, 65778, 50830, 65778, 50933, 65778, 50830, 65778, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 64768, 50830, 56436, 50830, 52356, 50811, 54445, 53537, 74144, 50830, 61990, 50830, 65778, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 50690, 50318, 50830, 62278, 50830, 79590, 50830, 52356, 50811, 54445, 53925, 50690, 50319, 50830, 70971, 50830, 66600, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 50690, 50318, 50830, 62278, 50830, 79590, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 74144, 50830, 61990, 50830, 65778, 50830, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 50690, 50318, 50830, 62278, 50830, 79590, 50830, 52356, 50811, 54445, 50823, 52308, 50301, 50830, 56066, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50967, 56430, 56937, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 50823, 53534, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50830, 56430, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 74144, 50967, 55847, 50967, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 52356, 50811, 54445, 50823, 52308, 50301, 50830, 56066, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50967, 56430, 56937, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 74144, 51112, 61990, 51112, 65778, 51112, 52356, 50811, 54445, 50823, 52308, 50316, 50933, 74144, 50830, 74144, 50933, 74144, 50830, 61990, 50933, 61990, 50830, 61990, 50830, 65778, 50933, 65778, 50830, 65778, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 64768, 50830, 56436, 50830, 52356, 50811, 54445, 53537, 74144, 50830, 61990, 50830, 65778, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 50690, 50318, 50830, 62278, 50830, 79590, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 50823, 56321, 51670, 52279, 52791, 52952, 50690, 50319, 50830, 70971, 50830, 66600, 50830, 51011, 50975, 58925, 52279, 52791, 65006, 50811, 54445, 55380, 50690, 50318, 50830, 62278, 50830, 79590, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 74144, 50830, 61990, 50830, 65778, 50830, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 50690, 50318, 50830, 62278, 50830, 79590, 50830, 52356, 63137, 50975, 54445, 50823, 52308, 50301, 50830, 56066, 50830, 51011, 50975, 58925, 65006, 63137, 63137, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50967, 56430, 56937, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 50823, 53534, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50830, 56430, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 74144, 50967, 55847, 50967, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 52356, 50811, 54445, 50823, 52308, 50301, 50830, 56066, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 54826, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 50967, 56430, 56937, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 51011, 50975, 58925, 52279, 52791, 65006, 52884, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 50823, 53534, 50975, 58925, 65006, 50811, 54445, 55573, 56227, 50830, 56066, 50830, 52356, 50811, 54445, 53537, 64768, 50830, 56430, 50830, 51011, 50975, 58925, 65006, 50811, 54445, 54179, 70368, 50830, 56941, 50830, 52356, 50811, 54445, 53925, 59732, 50830, 56430, 50967, 51011, 50975, 58925, 65006, 50811, 54445, 55380, 64768, 55236, 51670, 52279, 52791, 65006, 50811, 54445, 59981, 58925, 52279, 52791, 52768, 59732, 50830, 56430, 50967, 51011, 50975 ]
[ 0, 250, 32076, 15855, 2125, 19, 10, 11602, 9, 19834, 12117, 6, 42, 2214, 22750, 1626, 1619, 9450, 149, 63, 15352, 30054, 3222, 5785, 9, 13305, 6, 22052, 6, 8, 41063, 15796, 323, 31, 21072, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 8, 6780, 10, 7212, 204, 73, 306, 20889, 6, 24, 7630, 6568, 10, 1472, 9, 7125, 8, 11098, 6, 442, 24, 10, 12365, 38963, 8913, 13, 12298, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 56103, 52552, 54377, 76923, 51919, 50325, 60647, 54899, 51919, 50323, 51919, 50326, 50936, 50799, 53862, 51226, 51247, 51055, 51050, 51055, 50999, 51226, 51062, 51226, 51140, 51285, 53523, 63187, 64460, 50432, 53862, 76923, 51919, 50325, 79443, 57626, 53862, 51055, 51085, 62020, 51055, 50968, 51055, 76977, 51062, 51055, 51461, 68660, 53862, 62020, 69952, 51055, 61386, 76977, 51081, 51055, 51062, 51055, 50799, 53862, 51055, 51247, 51055, 51050, 51055, 70893, 50999, 51055, 51062, 51055, 51140, 68542, 56101, 62020, 51167, 50871, 51167, 50877, 51167, 50999, 51055, 51062, 51055, 51814, 51055, 50435, 50900, 69857, 50821, 50877, 52877, 54157, 62020, 63187, 64460, 50999, 51055, 51062, 51055, 51339, 51055, 51140, 72208, 55823, 79443, 51919, 50332, 57973, 54157, 51919, 50330, 77503, 50936, 50799, 54515, 51919, 50332, 51919, 50335, 51919, 50292, 62020, 51055, 51461, 70599, 54157, 51919, 50330, 77503, 57327, 55823, 79443, 51919, 50332, 71327, 69952, 61563, 50432, 54163, 51919, 50326, 51919, 50330, 57626, 53862, 51919, 50325, 79443, 71327, 69952, 51055, 61386, 74320, 52060, 53675, 54899, 51919, 50323, 51919, 50326, 50936, 51553, 55551, 51553, 53711, 54377, 76923, 51919, 50325, 51919, 50302, 62020, 61563, 51261, 51055, 51456, 54944, 51456, 53563, 54067, 51919, 50320, 51919, 50323, 50936, 51326, 56046, 51326, 50883, 51034, 54978, 51055, 51027, 62020, 51055, 64460, 70893, 51216, 56942, 53087, 53862, 69648, 51055, 50997, 62020, 69952, 51055, 76977, 51062, 51055, 69278, 56150, 56561, 53294, 54157, 51055, 51050, 51055, 51027, 62020, 63187, 70893, 50999, 51055, 51339, 51055, 51140, 80058, 63840, 50883, 52552, 51667, 58568, 53336, 51721, 57758, 50883, 71756, 51226, 51247, 51919, 50297, 50936, 51140, 50936, 52553, 62740, 50877, 54196, 59013, 50871, 54196, 53087, 51279, 51919, 50301, 50936, 51216, 50936, 56150, 51041, 61426, 50877, 54196, 52975, 51643, 50936, 50434, 50871, 54196, 53294, 51643, 51055, 51085, 71327, 50936, 51150, 50936, 52553, 63895, 50906, 54196, 60797, 50916, 54196, 53711, 51643, 51055, 51315, 73721, 50936, 51984, 50936, 56150, 51041, 61807, 50906, 54196, 61765, 50916, 54196, 50883, 71756, 51055, 51050, 61623, 50936, 51793, 50936, 52553, 62740, 50877, 54196, 59013, 50871, 54196, 53087, 53128, 51055, 51085, 71327, 50936, 51150, 50936, 56150, 51041, 61426, 50876, 54196, 59382, 50877, 54196, 53294, 51993, 51055, 51247, 51919, 50297, 50936, 51140, 50936, 52553, 63895, 50931, 54196, 60797, 50876, 54196, 53711, 50877, 50921, 56150, 51041, 61807, 50876, 54196, 53563, 53128, 50936, 50458, 50871, 54196, 50883, 50799, 52372, 51226, 51315, 73721, 50936, 51493, 50936, 52553, 62740, 50906, 54196, 59013, 50861, 54196, 53087, 51085, 71327, 50936, 51461, 50936, 56150, 51041, 61426, 50906, 54196, 52975, 51993, 50936, 50434, 50916, 54196, 53294, 52113, 51192, 51315, 73721, 50936, 51493, 50936, 52553, 63895, 50876, 54196, 53675, 51633, 50936, 67655, 54196, 53711, 51643, 51192, 51085, 71327, 50936, 51461, 50936, 56150, 51041, 61807, 50906, 54196, 53563, 51721, 50936, 50458, 50916, 54196, 50883, 75799, 51285, 51247, 51919, 50297, 50936, 51140, 50936, 58596, 62740, 50877, 54196, 59013, 50871, 54196, 53087, 50876, 56764, 61426, 50877, 62887, 50931, 56764, 53294, 50876, 56764, 63895, 74104, 51224, 60797, 50931, 50921, 51224, 53711, 51667, 51192, 50876, 56764, 61807, 50877, 50921, 51289, 53563, 51721, 50936, 50458, 50871, 50921, 51289, 50883, 71756, 51226, 51247, 51919, 50297, 50936, 51140, 50936, 52553, 62740, 50876, 54196, 59013, 50877, 54196, 53087, 51279, 51919, 50301, 50936, 51216, 50936, 56150, 51041, 61426, 50877, 54196, 52975, 51643, 50936, 50434, 50871, 54196, 53294, 51643, 51055, 51085, 71327, 50936, 51150, 50936, 52553, 63895, 50876, 54196, 60797, 50861, 54196, 53711, 51643, 51055, 51315, 73721, 50936, 51984, 50936, 56150, 51041, 61807, 50906, 54196, 61765, 50916, 54196, 50883, 71756, 51055, 51050, 61623, 50936, 51793, 50936, 52553, 62740, 50877, 54196, 59013, 50931, 54196, 53087, 51633, 51192, 74230, 51315, 73721, 50936, 51984, 50936, 56150, 51041, 61426, 50906, 54196, 52975, 52113, 50936, 50434, 50951, 54196, 53294, 51993, 51055, 50931, 50921, 51050, 63187, 51793, 51055, 52553, 63895, 50876, 54196, 60797, 50999, 54196, 53711, 50931, 50921, 56150, 51041, 61807, 50876, 54196, 53563, 51993, 50936, 50458, 50877, 54196, 50883, 50799, 52372, 51226, 51315, 73721, 50936, 51984, 50936, 52553, 62740, 50861, 54196, 59013, 50968, 54196, 53087, 51085, 71327, 50936, 51150, 50936, 56150, 51041, 61426, 50876, 54196, 52975, 52372, 50936, 50434, 50916, 54196, 53294, 53128, 51919, 50291, 51919, 50303, 50936, 51668, 50936, 52553, 63895, 50861, 54196, 53675, 52372, 50936, 50446, 50931, 54196, 53711, 51993, 51919, 50287, 51919, 50299, 50936, 51098, 50936, 56150, 51041, 61807, 50902, 54196, 53563, 51633, 50936, 50458, 50861, 54196, 50883, 71756, 51285, 74230, 51085, 51285, 50900, 51285, 51150, 51285, 52553, 62740, 50861, 54196, 59013, 50968, 54196, 53087, 50876, 54196, 61426, 50951, 54196, 50385, 52897, 59382, 50968, 54196, 50385, 52418, 53294, 51062, 80058, 52586, 50883, 55820, 50883, 55894, 53711, 51643, 55067, 52881, 51326, 54814, 51326, 50841, 71756, 51121, 51315, 57682, 59375, 50937, 51984, 50937, 65091, 53223, 51633, 62929, 54732, 51406, 52870, 52113, 51121, 51085, 57682, 59375, 50937, 51150, 50937, 54933, 52667, 51993, 62929, 54732, 51406, 53116, 52372, 51241, 51315, 57682, 59375, 50937, 51984, 50937, 54933, 53041, 50900, 54732, 51406, 53083, 51085, 57682, 59375, 50937, 51150, 50937, 54933, 52881, 51721, 62929, 54732, 59325, 72135, 51056, 51315, 67214, 59375, 50937, 51984, 50937, 54933, 53223, 50900, 54732, 51406, 52870, 51643, 51121, 51085, 67214, 59375, 50937, 51150, 50937, 54933, 52667, 51721, 62929, 54732, 51406, 53116, 51667, 51056, 51050, 64475, 66148, 51793, 51056, 64589, 54726, 72796, 53083, 65645, 50876, 67526, 51406, 55647, 51553, 52881, 51643, 54172, 54814, 51643, 50833, 59755, 50876, 53376, 50576, 54726, 50841, 71025, 51241, 50871, 60701, 75198, 51056, 51793, 51056, 54933, 53223, 50900, 54732, 51406, 52870, 50871, 60701, 51588, 50292, 51056, 51150, 51056, 54933, 52667, 51643, 62929, 54732, 51406, 53116, 52113, 51056, 50877, 59390, 51588, 50289, 51056, 51216, 51056, 54933, 53041, 50900, 54732, 51406, 53083, 53128, 59466, 60701, 51588, 50285, 51056, 51140, 51056, 54933, 52881, 50900, 54732, 59325, 50799, 52372, 51417, 68899, 61084, 51085, 51056, 51461, 51056, 65091, 60941, 68526, 52261, 50422, 68899, 52261, 54439, 50925, 76341, 51098, 79034, 58854, 50916, 66975, 58608, 61084, 52261, 62275, 51056, 65943, 51461, 51056, 64589, 54726, 53083, 51643, 51055, 50876, 51167, 51050, 51055, 51140, 51055, 54074, 56046, 74170, 51001, 52589, 52586, 50883, 65755, 51055, 50997, 51055, 76886, 76783, 51261, 51055, 52553, 67385, 53087, 51026, 51055, 69278, 54074, 52975, 51633, 61624, 66919, 50936, 52553, 53294, 52113, 62020, 51055, 77448, 50968, 51226, 74320, 52553, 72082, 53711, 51085, 51055, 51461, 51055, 54074, 53563, 52113, 62509, 51919, 50320, 54444, 50883, 71025, 51055, 50877, 51919, 50297, 51055, 70893, 51140, 51055, 52553, 53336, 50876, 54444, 53087, 52372, 51192, 50968, 51919, 50323, 71327, 51055, 74320, 54074, 52975, 53128, 75935, 51919, 50325, 54444, 53294, 50621 ]
[ 0, 250, 20902, 3495, 8, 5175, 1349, 14, 22750, 1626, 11098, 8, 10563, 149, 63, 34879, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 3459, 8, 21979, 29589, 6, 3459, 9590, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 83, 3694, 6, 5, 2214, 29769, 198, 5, 1918, 8, 211, 40286, 6, 2351, 41, 11653, 8, 17627, 17274, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 58402, 50796, 60859, 50370, 53221, 54611, 51289, 52712, 51289, 53196, 51289, 53018, 50903, 50370, 53221, 53524, 51289, 52743, 51289, 53007, 51289, 50904, 60859, 50370, 52082, 54475, 51289, 52641, 51289, 52767, 51289, 52896, 50903, 50369, 52082, 54247, 51289, 52772, 51289, 52920, 51289, 50825, 52288, 52222, 50946, 52222, 50903, 50371, 53221, 62833, 50848, 52151, 50416, 50872, 52071, 50850, 52069, 50420, 50903, 50370, 52082, 52712, 51322, 70785, 50369, 52082, 53196, 51256, 50911, 51289, 59607, 59656, 51209, 52266, 51289, 56651, 54478, 51289, 58257, 56881, 51289, 63972, 56838, 51289, 63807, 50984, 52563, 51445, 51042, 52335, 50903, 50373, 53221, 70383, 50848, 52151, 50416, 50847, 51714, 50935, 52151, 50420, 51289, 58257, 56323, 51322, 50893, 51289, 63972, 60838, 51256, 50911, 51289, 63972, 54927, 51390, 51286, 51289, 63088, 53086, 51334, 51192, 51289, 64868, 55256, 51289, 57670, 79626, 51229, 52195, 50456, 51289, 58257, 50904, 52288, 51445, 50946, 52222, 50903, 50372, 53221, 62833, 50848, 52151, 50416, 50872, 52071, 50850, 52069, 50420, 50903, 50370, 52082, 52712, 51322, 70785, 50369, 52082, 53196, 51256, 51012, 51289, 59607, 59656, 51209, 52266, 51289, 56651, 54478, 51289, 58257, 56881, 51289, 63972, 56838, 51289, 63807, 50984, 52563, 52222, 51042, 52335, 50903, 50373, 53221, 70383, 50848, 52151, 50416, 50847, 51714, 50935, 52151, 50420, 51289, 58257, 56323, 51322, 50893, 51289, 63972, 60838, 51256, 50911, 51289, 63972, 54927, 51390, 50923, 51289, 63088, 53086, 51334, 65731, 64868, 55256, 51289, 57670, 79626, 51229, 51585, 50456, 51664, 51173, 51289, 58257, 50904, 50799, 51322, 51196, 50927, 51241, 59082, 65198, 79933, 51007, 51253, 50816, 55394, 57140, 50421, 50816, 53991, 62308, 58180, 72130, 52966, 72074, 51007, 50978, 63588, 73552, 50816, 52818, 70224, 51007, 51199, 57134, 50872, 56466, 52896, 51664, 51112, 51069, 51417, 72074, 50872, 55257, 51312, 50816, 53594, 51007, 51006, 63588, 57134, 50816, 52763, 51322, 75345, 57588, 50937, 59082, 51007, 51535, 50816, 53137, 50872, 57588, 50987, 50848, 57957, 50870, 50799, 51912, 51356, 50953, 51047, 57767, 50935, 51233, 65806, 50816, 55394, 50848, 56466, 54604, 50935, 57823, 56394, 52872, 67561, 51007, 50978, 57420, 79841, 50816, 52953, 51007, 51199, 78343, 50847, 56466, 53018, 51664, 51013, 51019, 51267, 67561, 50847, 55257, 51312, 50816, 53114, 51007, 51006, 57420, 50935, 67041, 53003, 51830, 51013, 50927, 51101, 57420, 67561, 59082, 51007, 51253, 50816, 53555, 57420, 78343, 50848, 51411, 72358, 50799, 51664, 52045, 50927, 51351, 65198, 79933, 51007, 51253, 50816, 55394, 57140, 50421, 50816, 53991, 62308, 58180, 72130, 52966, 72074, 51007, 50978, 63588, 73552, 50816, 52818, 50927, 64889, 51199, 57134, 50872, 56466, 52896, 51069, 51194, 72074, 50872, 55257, 51312, 50816, 53594, 51007, 51006, 63588, 57134, 50816, 52763, 51069, 51043, 50872, 57588, 50937, 59082, 51007, 51535, 50816, 53137, 72080, 59027, 50848, 57957, 50870, 52288, 51115, 59082, 65198, 50816, 55394, 50848, 56466, 54604, 62308, 50872, 56394, 52872, 72074, 51007, 50978, 63588, 73552, 50816, 52953, 51007, 51199, 67103, 50872, 56466, 53018, 52936, 51025, 50872, 55257, 51312, 50816, 53114, 51007, 51006, 63588, 57134, 50816, 53003, 51664, 50896, 51069, 51203, 50872, 57588, 50937, 59082, 51007, 51253, 50816, 53555, 50872, 57588, 50987, 50848, 57957, 50837, 50799, 51322, 51196, 50927, 51562, 59082, 65198, 79933, 51007, 51253, 50816, 55394, 57140, 50421, 50816, 53991, 62308, 58180, 72130, 52966, 72074, 51007, 50978, 63588, 73552, 50816, 52818, 51007, 51199, 57134, 50872, 56466, 52896, 51664, 51016, 50927, 51400, 72074, 50872, 55257, 51312, 50816, 53594, 51007, 51006, 63588, 57134, 50816, 52763, 51322, 51013, 51069, 51411, 50872, 57588, 50937, 59082, 51007, 51535, 50816, 53137, 50872, 57588, 50987, 50848, 57957, 50870, 50799, 51912, 51356, 51443, 51417, 57767, 50935, 51233, 65806, 50816, 55394, 50848, 56466, 54604, 50935, 57823, 56394, 52872, 67561, 51007, 50978, 57420, 79841, 50816, 52953, 51007, 51199, 78343, 50847, 56466, 53018, 51664, 51013, 51019, 51400, 67561, 50847, 55257, 51312, 50816, 53114, 51007, 51006, 57420, 50935, 67041, 53003, 51830, 51013, 50927, 51025, 57420, 67561, 59082, 51007, 51253, 50816, 53555, 57420, 78343, 50848, 51411, 72358, 50799, 51664, 52045, 50927, 51351, 65198, 79933, 51007, 51253, 50816, 55394, 57140, 50421, 50816, 53991, 62308, 58180, 72130, 52966, 72074, 51007, 50978, 63588, 73552, 50816, 52818, 50927, 51058, 51007, 51199, 57134, 50872, 56466, 52896, 51069, 60069, 50937, 50872, 55257, 51312, 50816, 53594, 51007, 51006, 63588, 57134, 50816, 52763, 52936, 64986, 57588, 50937, 59082, 51007, 51535, 50816, 53137, 78550, 59027, 50848, 57957, 50870, 52288, 51351, 59082, 65198, 50816, 55394, 50848, 56466, 54604, 62308, 50872, 56394, 52872, 72074, 51007, 50978, 63588, 73552, 50816, 52953, 50927, 50987, 51007, 51199, 67103, 50872, 56466, 53018, 52936, 51400, 50872, 55257, 51312, 50816, 53114, 51007, 51006, 63588, 57134, 50816, 53003, 51322, 50896, 51069, 51267, 50872, 57588, 50937, 59082, 51007, 51253, 50816, 53555, 50872, 57588, 50987, 50848, 57957, 50837, 52563, 51397, 59082, 50939, 51043, 65806, 51007, 51253, 50816, 70691, 51209, 77784, 57140, 50421, 50816, 53991, 50939, 57823, 62520, 50816, 52966, 68528, 51007, 50978, 57420, 73552, 50816, 52818, 51007, 51199, 69081, 50847, 56466, 52896, 51322, 51090, 51096, 51203, 68528, 50847, 55257, 51312, 50816, 53594, 51007, 51006, 57420, 50939, 63658, 52763, 51209, 50896, 51096, 51363, 57420, 68528, 59082, 51007, 51253, 50816, 53137, 57420, 74798, 50848, 57957, 50870, 50799, 51366, 51196, 50964, 51562, 62783, 50868, 51253, 50909, 51233, 65806, 50816, 55394, 50885, 56466, 54604, 50909, 57823, 56394, 52872, 59300, 62137, 57420, 50885, 51253, 50816, 52953, 50868, 51199, 59995, 50847, 56466, 53018, 51322, 51090, 51019, 51267, 62137, 50847, 56566, 51312, 50816, 53114, 64663, 57420, 59995, 50816, 53003, 50927, 50915, 57420, 62137, 65998, 50868, 51253, 50816, 60068, 51451, 59727, 57420, 59995, 50885, 57957, 50837, 50799, 51322, 55198, 50953, 51562, 59082, 50939, 51043, 65806, 51007, 51253, 50816, 55394, 57140, 50421, 50816, 53991, 50939, 57823, 62520, 50816, 52966, 68528, 51007, 50978, 57420, 73552, 50816, 52818, 51007, 51199, 69081, 50847, 56466, 52896, 51096, 50915, 68528, 50847, 55257, 51312, 50816, 53594, 51007, 51006, 57420, 50939, 63658, 52763, 51069, 51377, 57420, 68528, 59082, 51007, 51253, 50816, 53137, 57420, 50939, 50981, 50848, 57957, 50870, 52563, 51562, 59082, 65806, 51007, 51253, 50816, 55394, 50848, 56466, 54604, 50939, 57823, 56394, 52872, 68528, 51007, 50978, 57420, 73552, 50816, 52953, 51007, 51199, 69081, 50847, 56466, 53018, 51096, 50915, 68528, 50847, 55257, 51312, 50816, 53114, 51007, 51006, 57420, 50939, 63658, 53003, 51664, 50896, 51069, 51377, 57420, 68528, 59082, 51007, 51253, 50816, 53555, 57420, 74798, 50848, 57957, 50837, 50799, 51322, 51196, 50927, 51562, 59082, 65198, 79933, 51007, 51253, 50816, 55394, 57140, 50421, 50816, 53991, 62308, 58180, 72130, 52966, 72074, 51007, 50978, 63588, 73552, 50816, 52818, 51007, 51199, 57134, 50872, 56466, 52896, 51664, 50896, 50927, 51267, 72074, 50872, 55257, 51312, 50816, 53594, 51007, 51006, 63588, 57134 ]
[ 0, 250, 8787, 5175, 8, 3495, 15229, 6, 42, 15352, 30054, 2125, 16, 278, 11, 381, 3694, 19, 10, 112, 73, 398, 86, 6543, 8, 41, 12447, 1001, 20889, 4, 20, 13305, 8, 21979, 8669, 483, 5, 169, 6, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 9590, 3863, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 3676, 8, 163, 6, 61, 7230, 1328, 5, 2125, 6, 1271, 7, 63, 32625, 8, 8728, 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 ]
[ 57739, 67653, 51330, 54670, 52570, 50421, 50850, 75674, 50868, 51166, 54670, 52570, 50427, 51149, 53024, 50432, 51149, 50972, 50433, 54374, 67458, 50946, 52025, 62100, 56869, 66368, 51074, 50445, 51149, 51737, 50450, 50909, 50972, 50451, 52138, 51432, 50456, 50946, 53280, 50457, 50850, 57032, 59007, 51432, 50415, 51149, 53313, 50420, 50850, 50974, 50421, 51649, 58309, 50868, 51074, 50427, 51149, 75506, 50946, 51074, 50433, 50850, 70456, 50939, 51108, 50439, 52403, 52025, 50444, 50946, 52136, 50445, 50850, 55812, 50450, 50868, 51074, 50451, 51149, 51737, 50456, 50850, 71248, 51649, 50972, 59007, 50974, 50415, 51149, 65978, 50946, 51108, 50421, 50850, 76370, 50868, 51079, 50427, 51149, 60484, 51149, 63936, 54374, 67458, 50946, 51333, 62100, 52618, 66368, 51074, 50445, 51149, 66893, 80040, 50451, 52138, 80076, 50946, 52011, 50457, 50850, 53838, 59007, 51432, 50415, 51149, 53024, 50420, 67103, 50421, 51649, 64396, 50868, 51387, 50427, 51149, 54386, 50432, 50946, 51333, 50433, 50850, 52618, 50438, 50939, 51330, 50439, 52403, 52025, 66368, 51079, 50445, 51149, 63050, 50946, 51108, 50451, 50850, 52011, 50456, 50850, 51074, 50457, 51649, 51697, 59007, 51166, 50415, 51149, 51737, 50416, 54670, 59010, 53060, 76687, 54668, 52337, 67653, 51333, 50421, 50850, 52618, 50422, 54670, 55054, 53060, 66118, 54668, 52337, 50426, 50868, 51074, 50427, 51149, 75506, 51149, 51108, 50433, 54374, 52011, 50438, 50868, 53024, 50439, 51149, 54691, 50444, 50946, 51074, 50445, 50850, 51737, 50450, 50909, 51330, 50451, 52138, 52025, 50456, 50946, 52011, 50457, 50850, 53838, 59007, 51432, 50415, 51149, 53313, 50420, 50850, 71481, 51649, 55191, 50946, 51330, 64349, 52397, 50432, 50868, 51074, 50433, 51149, 64896, 50939, 77563, 52403, 77074, 50946, 51490, 50445, 50850, 53055, 50450, 50868, 51074, 50451, 51149, 51697, 50456, 50850, 71248, 51649, 50972, 59007, 74221, 51149, 76194, 51217, 51097, 54670, 52204, 59766, 52121, 50421, 50868, 68289, 50868, 51079, 54670, 52204, 59766, 52121, 50427, 51149, 75506, 51149, 50932, 50433, 54374, 52011, 50438, 51217, 52025, 50439, 50868, 56869, 66368, 67446, 51149, 59914, 50935, 51108, 50451, 52548, 52025, 50456, 51217, 51330, 50457, 50868, 52025, 59007, 51074, 50415, 51149, 51697, 50420, 50992, 50972, 50421, 52238, 67016, 51217, 50932, 50427, 50868, 79542, 50868, 51166, 50433, 51149, 70456, 50935, 51108, 50439, 52548, 76733, 51217, 51965, 79581, 53577, 50450, 50868, 51074, 50451, 51149, 51697, 50456, 50850, 50974, 50686, 50272, 51432, 50457, 51649, 51074, 59007, 50838, 54311, 51432, 50415, 51149, 65978, 50946, 51330, 56848, 51717, 51844, 51801, 50421, 50850, 52397, 50426, 50868, 51074, 56848, 51717, 50427, 51149, 75506, 51149, 51108, 50433, 54374, 52011, 50438, 50946, 51466, 62100, 53838, 66368, 51166, 50445, 51149, 51737, 50450, 50909, 70334, 52138, 57092, 50946, 51466, 50457, 50850, 52618, 59007, 51074, 50415, 51149, 51737, 50420, 50850, 50845, 51733, 52431, 50421, 51649, 55191, 50946, 51333, 64349, 52397, 50432, 50868, 51166, 50433, 51149, 53024, 50438, 50939, 50995, 50439, 52403, 67302, 50946, 51333, 50445, 50850, 52397, 50450, 50868, 51074, 50451, 51149, 51697, 50456, 69350, 51690, 53306, 50457, 51649, 51108, 59007, 51079, 51733, 53024, 50415, 51149, 51387, 67653, 51333, 51690, 51387, 50421, 50850, 52618, 50426, 50868, 51387, 51733, 51432, 50427, 51149, 53313, 50432, 51149, 50838, 51690, 51166, 50433, 54374, 58087, 50946, 51466, 51733, 51166, 62100, 52618, 66368, 51074, 51384, 51166, 50445, 51149, 66893, 73756, 51733, 51166, 50451, 52138, 73786, 50946, 51466, 51690, 51166, 50457, 50850, 52618, 59007, 51166, 51733, 52720, 50415, 51149, 53024, 50420, 67103, 50421, 51649, 65435, 50868, 51074, 50427, 51149, 75506, 50946, 51166, 50433, 50850, 53024, 50438, 50939, 51108, 50439, 52403, 52025, 50444, 50946, 51333, 50445, 50850, 52618, 50450, 50868, 51166, 50451, 51149, 53024, 50456, 50850, 68571, 51649, 51079, 59007, 74221, 51149, 51166, 50418, 54668, 53201, 50419, 60198, 52794, 67653, 51333, 64616, 52829, 51374, 58643, 50421, 50850, 52618, 50424, 54668, 53201, 50425, 60198, 52794, 50426, 50868, 50838, 64616, 52829, 50427, 51149, 57123, 51149, 51108, 50433, 54374, 52011, 50438, 50946, 51333, 62100, 52397, 66368, 51079, 50445, 51149, 66893, 80040, 50451, 52138, 52011, 50456, 50946, 51466, 50457, 50850, 52618, 59007, 51074, 50415, 51149, 51737, 50420, 50850, 50974, 50421, 51649, 55752, 50946, 51333, 64349, 52618, 50432, 50868, 51074, 50433, 51149, 70456, 50939, 77563, 52403, 76733, 50946, 51490, 50445, 50850, 53055, 50450, 50868, 51074, 50451, 51149, 51737, 50456, 50850, 50905, 51137, 51737, 50457, 51649, 51074, 59007, 50838, 51349, 51432, 50415, 51149, 65978, 51217, 51330, 55826, 52337, 51374, 51671, 50421, 50868, 52397, 50426, 50868, 51079, 55826, 52337, 50427, 51149, 75506, 51149, 50932, 50433, 54374, 66916, 51217, 77563, 50868, 51466, 66368, 51079, 50445, 51149, 66893, 50935, 50981, 50451, 52548, 73786, 51217, 51330, 50457, 50868, 52025, 59007, 51166, 50415, 51149, 51737, 50420, 50992, 50905, 51857, 51447, 50421, 52238, 55752, 51217, 51333, 50852, 51166, 50427, 50868, 52397, 50432, 50868, 51074, 50843, 60121, 51149, 64896, 50935, 50932, 51456, 50795, 51553, 61187, 52548, 77074, 51217, 51330, 50686, 50272, 51447, 79581, 80189, 50868, 51074, 51456, 50972, 50451, 51149, 51737, 50456, 50850, 50838, 51326, 60858, 61393, 51649, 51166, 59007, 55559, 51166, 50415, 51149, 65978, 50946, 51330, 51844, 53753, 50798, 57247, 50905, 51301, 55392, 51113, 53849, 51093, 53849, 58108, 51717, 50421, 50850, 75674, 50868, 62621, 51737, 50427, 51149, 53024, 50429, 58108, 51717, 50432, 51149, 57948, 51079, 50433, 54374, 67458, 50946, 52025, 50852, 51432, 58108, 51717, 62100, 56869, 66368, 51074, 50903, 51575, 51079, 50445, 51149, 51737, 50450, 50909, 57948, 51737, 50451, 52138, 51432, 50456, 50946, 53280, 50791, 51079, 50457, 50850, 57032, 59007, 51432, 50852, 51432, 50415, 51149, 53313, 50420, 50850, 57685, 51370, 51079, 50421, 51649, 58309, 50868, 59074, 51737, 50427, 51149, 75506, 50946, 59074, 51079, 50433, 50850, 70456, 50939, 63438, 51432, 50439, 52403, 52025, 50444, 50946, 52136, 50903, 51575, 51079, 50445, 50850, 55812, 50450, 50868, 51074, 50686, 50272, 51697, 50791, 51737, 50451, 51149, 51737, 50456, 50850, 50845, 51844, 62621, 51079, 50457, 51649, 50972, 59007, 50974, 51338, 55002, 50852, 51432, 50415, 51149, 65978, 50946, 64416, 51370, 51079, 51301, 51243, 51113, 53849, 51093, 55174, 51266, 51671, 50421, 50850, 76370, 50868, 68495, 52839, 51737, 50427, 51149, 60484, 51149, 50838, 51844, 56004, 50791, 51079, 50433, 54374, 67458, 50946, 51333, 50852, 51432, 62100, 52618, 66368, 51074, 50903, 51575, 51079, 50445, 51149, 66893, 50909, 61578, 51737, 50451, 52138, 80076, 50946, 52011, 50791, 51079, 50457, 50850, 53838, 59007, 51432, 50852, 51432, 50415, 51149, 53024, 50420, 50850, 61011, 51370, 51079, 50421, 51649, 64396, 50868, 76719, 51737, 50427, 51149, 54386, 50432, 50946, 51333, 50791, 51079, 50433, 50850, 52618, 50438, 50939, 51330, 50852, 51432, 50439, 52403, 52025, 66368, 51079, 50903, 51575, 51079, 50445, 51149, 63050, 50946, 64003, 51737, 50451, 50850, 52011, 50456, 50850, 51074, 50686, 50272, 75124, 51079, 50457, 51649, 51697, 59007, 51166 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 6, 1931, 21683, 10, 32076, 1619, 4780, 4, 10326, 3459, 8669, 8, 21979, 8669, 483, 5, 33301, 6, 2800, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2125, 6, 11, 5, 762, 9, 211, 3694, 6, 5705, 25614, 2629, 5, 33215, 16739, 9, 1918, 6, 3676, 406, 6, 274, 6, 230, 6, 8, 211, 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 ]
[ 56103, 68266, 50811, 51083, 50811, 76086, 51023, 50817, 64386, 51838, 51352, 51171, 59299, 74204, 52637, 72585, 51520, 50817, 52756, 50890, 60929, 52302, 51763, 50811, 51083, 50811, 51061, 50817, 51023, 50817, 64386, 51171, 79245, 59482, 52637, 72585, 51520, 51010, 52756, 50887, 60929, 57480, 51763, 50823, 51083, 50811, 75425, 51023, 50811, 55952, 59818, 50848, 50811, 57386, 50850, 53914, 68653, 53236, 50811, 52756, 50806, 60929, 52726, 52047, 50803, 51118, 50811, 76086, 51069, 50976, 51332, 65215, 58217, 53914, 74353, 54168, 50811, 52817, 51173, 60929, 52952, 51763, 50993, 51083, 50975, 51061, 50976, 51023, 50976, 50927, 51072, 51171, 50993, 50848, 50975, 50872, 50976, 50850, 57710, 52637, 50387, 52486, 51520, 50976, 53036, 51013, 60929, 50976, 50439, 50804, 52267, 50920, 50386, 52486, 52768, 52047, 51300, 51118, 51300, 51089, 51300, 51020, 51300, 51069, 51300, 51711, 54527, 51332, 51300, 50885, 51300, 50868, 51300, 50847, 51300, 51321, 52637, 50388, 52752, 53236, 51029, 52817, 51527, 60929, 68174, 50920, 74353, 50811, 69808, 52637, 72585, 52244, 50920, 72585, 51973, 51069, 55141, 68653, 53236, 50811, 53719, 51110, 60929, 52726, 52047, 50803, 51118, 50811, 51089, 66631, 50811, 64343, 51332, 65215, 58581, 64478, 53914, 74353, 54168, 50811, 52756, 51177, 60929, 52952, 52047, 51059, 51118, 51066, 51089, 51066, 51020, 51066, 51069, 51066, 51332, 51059, 50885, 51066, 78436, 50847, 61037, 52637, 50387, 52486, 51520, 50975, 52817, 50807, 60929, 50975, 50439, 50804, 52267, 50920, 50386, 52486, 52768, 51118, 64311, 64753, 50811, 69703, 60030, 56384, 50847, 53914, 50388, 52752, 53236, 50961, 53036, 50901, 60929, 54450, 53707, 51300, 51557, 51066, 51083, 51066, 51061, 51066, 51096, 51354, 52021, 51300, 51037, 69602, 51066, 50872, 51066, 50920, 74353, 51670, 50823, 52817, 51013, 60929, 50823, 50799, 51863, 53601, 51321, 52637, 72585, 52244, 51557, 50993, 51083, 50993, 51061, 50993, 51096, 51066, 51037, 50993, 50848, 78354, 50920, 72585, 51520, 50811, 52756, 50807, 60929, 52968, 50920, 68653, 53236, 50811, 60929, 52726, 53707, 51072, 51557, 50993, 51083, 50975, 51061, 50975, 51096, 51072, 52021, 51072, 51037, 50993, 50848, 50975, 50872, 50975, 50920, 74353, 50950, 53719, 50914, 53550, 52637, 50387, 52486, 51520, 50811, 60929, 59071, 50804, 52267, 53707, 50811, 51557, 50817, 51118, 50811, 51069, 51952, 50290, 70482, 63358, 53914, 50386, 52486, 51670, 50803, 52756, 50840, 60929, 52116, 53707, 51352, 51557, 51352, 51083, 51352, 51061, 51352, 51096, 51407, 52021, 51352, 51037, 51352, 50848, 51352, 50872, 51352, 50920, 50388, 52752, 50860, 52756, 51291, 50456, 50920, 74353, 51670, 50811, 60929, 50811, 69808, 52637, 72585, 51520, 50975, 60929, 50975, 56952, 72585, 51973, 50920, 68653, 53236, 50817, 60929, 52265, 50920, 74353, 54168, 50811, 60929, 52952, 50804, 52637, 50387, 52486, 57149, 50804, 52267, 53707, 50811, 51557, 50811, 51083, 50811, 76086, 64386, 52021, 70482, 79245, 53914, 50386, 52486, 50811, 52756, 52555, 53707, 50823, 51557, 50811, 51083, 50811, 76086, 58992, 52021, 50823, 51037, 79245, 53914, 50388, 52752, 50860, 52756, 69194, 51656, 62174, 53707, 50811, 51557, 51031, 51118, 50811, 51096, 51972, 50290, 70482, 51031, 50885, 53914, 74353, 50811, 53719, 50925, 50799, 53707, 51059, 51557, 50993, 51083, 51066, 51061, 51066, 50927, 51072, 51863, 51417, 52021, 51059, 51037, 50993, 50848, 51066, 50872, 51066, 51321, 52637, 72585, 51520, 50975, 52756, 50991, 60929, 50975, 56952, 72585, 51973, 51557, 79597, 50803, 51061, 67199, 51138, 51037, 63469, 50803, 50872, 52699, 68653, 53236, 50811, 52756, 50800, 60929, 52726, 53707, 50803, 51557, 50811, 51118, 50811, 67246, 51656, 51121, 52021, 67550, 58715, 53914, 74353, 54168, 50811, 53719, 50937, 60929, 52952, 53707, 51072, 51557, 50993, 51083, 50993, 51061, 50993, 50927, 51066, 51863, 51413, 52021, 51072, 51037, 50993, 50848, 50993, 50872, 60406, 52637, 50387, 52486, 51520, 50976, 52756, 51346, 60929, 50976, 50439, 50804, 52267, 50920, 50386, 52486, 52768, 53707, 50823, 51557, 51010, 51083, 50803, 75425, 66586, 52021, 50823, 51037, 51010, 50848, 50803, 50872, 52699, 50388, 52752, 53236, 50811, 52756, 50849, 60929, 52884, 51557, 79597, 50817, 66590, 51656, 51101, 51037, 63469, 52637, 74353, 51670, 50811, 53719, 50833, 60929, 50811, 66844, 51029, 51061, 51059, 51020, 50811, 51023, 51059, 51092, 51059, 50945, 51059, 52036, 52379, 51164, 51029, 50872, 71267, 59080, 51059, 50909, 51059, 51321, 52637, 72585, 51520, 50824, 52756, 50896, 60929, 54226, 50920, 72585, 51973, 50920, 68653, 54684, 51616, 50803, 76086, 51023, 63499, 50811, 75648, 51164, 50803, 50872, 59080, 64622, 53914, 74353, 54168, 50811, 52756, 50809, 60929, 52952, 51616, 50803, 76086, 51023, 63499, 50811, 70695, 51164, 50803, 50872, 59080, 64622, 52279, 52637, 50387, 52486, 51520, 50811, 52756, 50840, 60929, 59071, 50804, 52267, 51616, 50811, 76086, 51023, 63499, 50817, 71101, 51164, 74204, 64622, 52637, 50386, 52486, 51670, 50811, 52756, 50940, 60929, 52768, 51616, 50811, 76086, 51023, 63499, 50817, 70490, 51164, 74204, 64622, 52637, 50388, 52752, 53236, 50811, 53200, 50800, 60929, 52884, 51616, 50811, 51061, 50817, 51023, 63499, 50817, 77200, 51164, 58217, 59482, 64622, 52637, 74353, 51670, 50811, 53200, 50808, 60929, 50811, 70782, 51184, 51020, 51184, 51208, 51184, 51185, 51184, 51443, 51184, 52137, 52570, 50988, 51184, 50847, 51184, 50935, 51184, 51007, 51184, 51321, 52637, 72585, 51520, 50993, 52817, 56769, 60929, 50993, 56952, 72585, 51973, 50920, 68653, 54684, 50920, 74353, 54168, 50811, 60929, 52952, 50804, 52637, 50387, 52486, 51520, 50860, 60929, 67476, 50804, 52267, 50920, 50386, 52486, 52768, 50920, 50388, 52752, 53236, 50811, 60929, 52884, 50920, 74353, 51670, 50802, 60929, 50802, 69808, 52637, 72585, 52244, 55952, 53499, 51795, 50920, 72585, 51520, 50811, 60929, 52968, 51019, 51505, 50920, 68653, 53236, 50802, 60929, 52030, 50953, 51215, 52886, 52311, 50920, 74353, 57174, 51443, 51300, 50804, 52637, 50387, 52486, 51520, 50811, 60929, 59071, 50804, 52267, 50920, 50386, 52486, 51670, 50811, 60929, 52768, 50920, 50388, 52752, 53236, 50811, 60929, 52884, 50920, 74353, 50811, 68266, 50811, 51083, 50811, 76086, 51023, 50817, 64386, 51838, 51352, 51171, 59299, 74204, 54623, 52637, 72585, 53056, 50817, 52756, 50890, 60929, 52302, 51763, 50811, 51083, 50811, 51061, 50817, 51023, 50817, 64386, 51171, 79245, 59482, 52637, 72585, 51730, 51010, 52756, 50887, 60929, 57480, 51763, 50823, 51083, 50811, 75425, 51023, 50811, 55952, 59818, 50848, 50811, 57386, 50850, 53914, 68653, 61712, 50811, 52756, 50806, 60929, 52726, 52047, 50803, 51118, 50811, 76086, 51069, 50976, 51332, 65215, 58217, 53914, 74353, 51747, 50811, 52817, 51173, 60929, 52952, 51763, 50993, 51083, 50975, 51061, 50976, 51023, 50976, 50927, 51072, 51171, 50993, 50848, 50975, 50872, 50976, 50850, 57710, 52637, 50387, 52486, 51520, 50976, 53036, 51013, 60929, 50976, 50439, 50804, 52267, 50920, 50386, 52486, 55510, 52047, 51300, 51118, 51300, 51089, 51300, 51020, 51300, 51069, 51300, 51711, 54527, 51332, 51300, 50885, 51300, 50868, 51300, 50847, 51300, 50920, 50388, 52752, 56562, 51029, 52817, 51527, 60929, 68174, 50920, 74353, 50930, 69808, 52637, 72585, 55492, 50920, 72585, 51620 ]
[ 0, 713, 14899, 3495, 2214, 22750, 1626, 11098, 8, 12298, 9450, 6, 1969, 13, 5, 1619, 191, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 41, 21979, 8669, 8, 10170, 1499, 816, 15352, 30054, 2301, 81, 10, 5204, 12989, 1286, 30, 5, 3459, 9590, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 2214, 29769, 198, 5, 40286, 211, 8, 272, 6, 2351, 10, 33558, 8, 2365, 12, 6928, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50415, 50628, 50416, 50631, 50796, 77033, 51206, 51628, 78000, 80146, 51007, 51124, 50433, 50953, 51175, 77987, 50854, 50440, 50903, 55121, 62789, 60001, 50935, 50930, 51007, 50855, 50953, 60777, 59135, 50791, 71765, 51415, 51483, 52190, 51745, 50801, 63816, 50843, 50955, 51647, 53820, 51271, 75994, 55225, 55121, 50921, 50457, 60001, 50935, 51045, 51007, 70629, 50791, 50857, 51809, 50953, 56937, 63304, 50830, 53615, 51059, 50419, 50791, 55797, 50903, 65599, 65940, 50935, 51030, 51007, 57758, 74227, 60357, 50428, 51895, 51015, 52726, 51415, 69208, 56525, 51354, 50433, 52190, 51059, 50436, 51892, 50439, 64017, 50935, 50802, 51007, 50806, 50440, 51271, 51505, 50852, 51021, 50903, 68957, 66475, 70635, 50953, 70056, 64070, 50843, 50925, 53615, 51226, 79352, 54194, 64017, 50935, 50802, 51007, 53072, 50936, 50903, 57308, 57416, 50460, 59284, 50810, 51809, 51415, 51483, 52190, 59110, 50802, 53440, 50925, 61797, 54588, 60087, 75800, 51271, 75994, 55225, 50882, 50425, 50852, 50893, 51532, 54221, 50953, 65424, 50823, 53615, 51226, 50433, 50843, 72538, 50791, 68099, 65104, 50440, 50935, 51388, 51007, 75994, 55121, 51021, 50443, 50953, 62894, 50801, 59135, 50791, 71765, 51415, 50975, 52190, 51745, 50801, 63816, 50843, 50955, 51647, 53820, 50847, 56347, 77533, 51505, 50903, 55225, 55121, 50921, 50457, 51007, 50923, 50461, 50791, 50857, 51809, 50953, 68138, 63304, 50830, 53615, 51059, 50419, 50791, 55797, 50847, 63675, 65599, 50935, 56285, 79375, 51007, 79066, 64483, 50428, 51895, 51015, 52726, 51415, 80078, 56525, 51354, 50433, 52190, 51059, 50436, 67018, 50847, 50974, 70031, 51192, 50440, 51007, 51505, 51271, 51059, 50852, 51021, 50903, 68957, 66475, 70635, 50801, 64070, 50843, 50925, 53615, 51226, 79352, 74022, 58324, 50953, 51460, 52330, 59315, 50935, 72077, 68024, 50936, 50903, 77741, 59284, 50810, 51601, 51531, 51427, 50416, 51011, 50975, 52190, 59110, 50802, 53440, 50925, 61797, 54588, 57420, 51666, 50993, 50424, 50935, 51021, 51007, 50948, 51415, 51238, 50903, 55225, 50882, 50425, 50852, 50893, 51532, 72479, 51908, 51407, 53782, 50823, 53615, 51226, 50433, 51133, 51407, 50843, 72538, 50791, 68099, 62832, 50440, 50909, 71447, 70693, 55121, 62789, 50801, 59135, 50791, 71765, 52190, 51745, 50801, 63816, 50843, 50955, 51647, 66968, 64957, 50456, 50909, 75709, 67344, 55225, 55121, 73056, 50791, 50857, 51809, 50872, 53006, 50893, 50945, 51745, 50801, 63304, 50830, 53615, 51059, 50419, 50791, 55797, 50903, 65599, 50872, 51138, 50850, 60735, 50865, 50428, 51895, 51015, 58221, 50847, 52309, 50935, 60011, 51362, 50843, 56525, 51354, 50433, 52190, 51059, 50436, 51892, 50439, 67723, 50935, 67586, 50852, 51021, 50903, 68957, 66475, 55854, 51133, 51427, 50448, 51125, 54715, 64070, 50843, 50925, 53615, 51226, 79352, 74022, 50847, 58649, 57241, 51149, 50805, 51257, 53270, 50936, 50903, 77741, 51133, 51021, 59284, 50810, 51809, 51817, 51483, 52190, 59110, 50802, 53440, 50925, 50419, 51908, 50837, 51871, 60156, 50791, 54588, 50847, 56990, 51286, 51149, 51173, 51908, 50829, 51871, 58304, 52018, 51379, 50903, 55225, 50882, 50425, 50852, 50893, 50427, 51908, 50862, 51871, 50813, 51532, 54221, 51531, 53530, 50823, 53615, 51226, 50433, 51133, 75496, 50925, 50436, 51908, 50813, 51871, 58572, 50791, 68099, 74300, 51908, 50836, 51871, 67635, 77924, 51149, 51173, 50903, 55121, 51021, 50443, 51871, 54815, 51133, 50893, 51908, 53243, 59135, 50791, 71765, 51531, 50383, 53224, 51745, 50801, 63816, 51817, 51505, 50843, 50955, 50452, 51871, 50818, 51908, 50890, 51647, 53820, 58966, 50909, 50911, 52018, 50976, 51908, 50855, 51871, 58972, 55225, 55121, 50921, 50457, 51149, 54934, 73029, 51908, 59496, 50791, 50857, 51809, 70895, 51994, 62064, 63304, 50830, 53615, 51059, 50419, 50791, 54611, 51666, 50825, 52330, 55155, 64017, 50903, 65599, 50935, 50802, 51666, 50820, 52330, 55702, 79375, 51007, 51101, 50428, 63615, 52330, 50887, 51666, 50930, 51895, 51015, 52726, 51415, 51427, 51994, 52154, 56525, 51354, 50433, 52190, 51059, 50436, 51666, 50818, 52330, 50840, 51892, 50439, 50847, 50849, 50440, 50935, 51505, 51271, 51483, 52330, 50828, 51666, 53333, 51021, 50903, 68957, 53609, 51007, 51173, 50443, 79023, 51666, 67902, 70635, 70895, 51994, 53097, 64070, 50843, 50925, 53615, 51226, 50452, 51666, 50884, 52330, 51421, 74022, 50847, 50873, 51666, 50828, 52330, 52485, 50935, 51505, 50852, 50936, 50903, 74653, 51007, 51173, 50459, 60357, 51666, 50883, 52330, 69738, 59284, 50810, 51809, 51415, 51483, 51994, 62226, 59110, 50802, 53440, 60872, 52330, 50846, 51666, 50895, 61797, 54588, 50847, 51142, 50935, 51138, 51666, 50841, 52330, 62115, 51007, 50923, 51271, 75994, 55225, 50882, 50425, 50852, 50893, 50427, 79023, 51666, 50949, 51532, 54221, 51133, 51158, 51531, 52218, 50823, 53615, 51226, 50433, 50843, 50925, 50436, 51908, 50818, 51871, 58694, 50791, 54181, 64059, 50439, 56696, 51908, 63337, 51149, 50893, 51871, 61295, 55121, 51021, 50443, 51133, 51030, 51908, 50818, 51871, 52510, 50801, 59135, 50791, 71765, 51817, 50976, 51531, 50380, 53224, 51745, 50801, 63816, 50843, 50955, 50452, 51908, 50884, 74917, 51647, 66968, 50847, 51550, 50909, 51173, 51149, 51286, 51871, 52349, 52018, 51354, 51908, 56088, 55225, 55121, 68169, 51908, 50884, 51871, 65175, 50791, 50857, 51601, 67554, 50416, 51133, 50976, 51531, 53672, 63304, 50830, 53615, 51059, 50419, 50791, 54611, 51908, 50883, 51871, 55893, 50847, 51524, 51871, 50895, 51908, 71074, 65599, 50909, 50967, 51149, 51192, 50852, 74227, 51133, 51012, 51908, 50890, 51871, 63601, 51895, 51015, 52726, 51817, 51505, 51531, 54998, 56525, 51354, 50433, 52190, 51059, 50435, 51908, 50809, 51871, 66248, 51892, 50439, 64059, 51908, 50890, 51871, 72737, 50909, 50806, 51149, 50865, 52018, 66587, 51021, 50903, 68957, 60254, 51531, 50836, 51180, 70635, 63413, 50953, 51286, 51994, 52218, 64070, 50843, 50925, 53615, 51226, 50452, 51666, 50818, 52330, 52675, 74022, 77999, 52330, 50818, 51666, 52738, 50935, 51238, 50852, 50936, 50903, 74653, 51007, 51100, 50459, 50953, 51138, 51666, 50895, 52330, 69738, 59284, 50810, 51809, 51415, 50976, 51994, 50383, 53224, 59110, 50802, 53440, 60872, 52330, 50895, 51666, 50895, 61797, 54588, 51271, 50976, 52330, 50818, 51666, 61159, 50935, 50940, 50903, 55225, 50882, 50425, 50847, 51319, 51007, 55220, 50893, 50427, 79023, 51666, 50949, 51532, 72479, 50953, 52442, 51994, 54527, 50432, 50847, 53363, 50935, 54527, 50801, 50823, 53615, 51226, 50433, 50843, 72538, 50791, 50854, 50440, 50903, 55121, 62789, 50801, 59135, 50791, 71765, 52190, 51745, 50801, 63816, 50843, 50955, 51647, 53820, 50903, 55225, 55121, 73056, 50791, 50857, 51809, 50801, 63304, 50830, 53615, 51059, 50419, 50791, 55797, 50903, 65599, 50852, 50865, 50428, 51895, 51015, 52726, 50843, 56525, 51354, 50433, 52190, 51059, 50436, 51892, 50440, 50852, 51021, 50903, 68957, 66475, 55854, 50847, 51680, 50909, 51356, 50448, 51149, 51183, 51133, 51407, 50801, 64070, 50843, 50925, 53615, 51226, 79352, 54194, 50852, 50936, 50903, 77741, 59284, 50810, 51809, 52190, 59110, 50802, 53440, 50925, 61797, 70884, 50903, 55225, 50882, 50425, 50852, 50893, 51532, 72479, 50945, 61511, 50872, 56244, 52590, 50823, 53615, 51226, 50433, 50843, 72538, 50791, 68099, 50872, 66857, 67586 ]
[ 0, 250, 2635, 12, 20764, 3495, 2214, 19, 10, 2842, 9, 3152, 2712, 6, 42, 8787, 2125, 29769, 198, 12049, 9, 657, 8, 11098, 4, 590, 10, 15352, 30054, 1056, 6, 24, 1575, 41, 12547, 9, 3459, 13305, 6, 38668, 11212, 6, 36075, 8669, 6, 2382, 3459, 8669, 6, 8, 38668, 3038, 4, 8504, 11, 5, 762, 9, 274, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 15229, 16, 17407, 30, 10, 33215, 13931, 9, 274, 6, 163, 428, 6, 8, 12608, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57528, 50796, 50796, 66243, 50777, 50312, 51400, 50456, 50777, 50312, 51400, 66243, 50777, 50312, 51400, 50456, 50777, 50312, 51400, 50799, 50746, 50283, 55597, 50746, 50295, 54270, 79049, 59828, 66024, 53201, 57677, 51748, 50775, 50295, 55856, 50432, 50777, 50312, 51400, 50456, 50777, 50312, 51025, 50461, 60948, 53588, 66243, 50777, 50312, 72652, 50746, 50300, 55086, 50456, 58065, 52720, 50777, 50312, 51411, 55746, 79049, 73728, 50432, 50777, 50312, 51480, 50438, 57677, 53678, 50456, 50777, 50312, 51775, 66243, 50777, 50312, 51484, 50442, 73683, 51878, 50456, 50777, 50312, 51576, 50460, 56679, 51922, 56336, 51671, 50461, 65638, 51922, 53361, 51748, 55796, 52503, 50799, 55407, 51151, 52647, 51359, 53234, 50873, 52627, 50807, 51105, 51469, 51521, 63854, 50855, 51340, 51367, 66729, 54213, 52158, 52071, 52105, 51510, 54953, 53234, 51127, 50913, 50836, 52093, 51279, 50836, 53649, 51833, 51129, 51279, 58255, 52627, 51358, 50913, 52348, 50839, 51279, 52134, 53198, 53796, 59275, 52766, 52569, 55530, 50855, 52093, 51572, 74096, 50839, 51618, 55038, 53234, 70539, 50836, 52093, 51279, 50836, 54599, 51833, 50870, 51279, 60550, 50913, 52348, 50839, 51279, 52134, 53341, 53796, 51129, 50460, 53361, 51922, 56679, 51671, 50461, 65143, 51922, 54165, 51748, 53465, 52503, 50799, 67497, 51151, 55953, 51127, 52609, 51127, 51959, 51112, 51325, 51469, 52305, 63854, 50855, 52093, 51402, 54213, 52647, 51115, 52105, 51510, 54953, 51959, 51159, 50913, 50836, 52093, 51279, 50836, 53649, 51833, 51129, 51279, 58255, 53234, 55154, 52348, 50839, 51279, 52134, 53198, 53796, 59275, 52766, 52609, 51109, 54462, 51290, 51959, 51048, 55953, 51127, 72557, 73874, 50933, 50750, 50348, 60623, 50855, 51340, 51865, 50837, 51572, 74096, 50839, 51618, 55038, 51771, 51109, 52158, 51048, 52627, 51048, 62429, 50750, 50338, 50933, 50750, 50347, 79077, 50836, 51340, 51865, 50837, 51279, 50836, 54599, 51833, 50870, 51279, 60550, 50913, 52348, 50839, 51279, 52134, 53341, 53796, 51129, 50460, 53361, 51922, 55796, 51671, 50461, 56643, 51922, 52507, 51748, 53679, 52503, 50799, 52569, 51189, 56734, 51151, 53168, 51675, 51890, 51115, 52158, 51124, 50953, 51469, 51344, 51189, 51063, 51243, 50750, 50338, 51008, 50750, 50345, 60623, 50855, 51340, 51367, 50837, 51402, 54213, 51771, 51097, 52105, 51510, 54953, 52158, 50977, 50913, 50836, 52093, 51279, 50836, 53649, 51833, 51129, 51279, 58255, 52158, 51377, 52569, 51591, 54057, 51896, 51843, 54153, 50750, 50350, 53189, 52348, 50839, 51279, 52134, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 51572, 54485, 52951, 51318, 52158, 50905, 51718, 52281, 50829, 51618, 55038, 53234, 50938, 50750, 50343, 67224, 50836, 51340, 51865, 50837, 51279, 50836, 54599, 51833, 50870, 51279, 60550, 52092, 50849, 50750, 50342, 67224, 52348, 64184, 50829, 51279, 52134, 53341, 53796, 51129, 50460, 54165, 51922, 56679, 51671, 50461, 57697, 51922, 52693, 51748, 53361, 52503, 50799, 52158, 51486, 55516, 51151, 53362, 51359, 52114, 51151, 52647, 51591, 50945, 51469, 51222, 51243, 50750, 50336, 55759, 50855, 52093, 51402, 54213, 52609, 51244, 52105, 51510, 54953, 51959, 51047, 50913, 50836, 52093, 51279, 50836, 53649, 51833, 51129, 51279, 58255, 54057, 51896, 50750, 50350, 54702, 52348, 50839, 51279, 52134, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 51572, 71096, 73683, 51878, 50444, 52647, 51477, 52105, 51618, 55038, 52609, 57733, 50836, 52093, 51279, 50836, 54599, 51833, 50870, 51279, 60550, 53234, 50977, 50913, 52348, 50839, 51279, 52134, 53341, 53796, 51129, 50460, 54165, 51922, 56679, 51671, 50461, 64036, 51922, 52693, 51748, 53361, 52503, 50799, 53234, 51353, 55333, 51151, 52951, 51359, 51890, 51151, 52609, 51151, 51959, 51445, 51096, 51469, 51611, 63854, 50855, 51340, 51367, 66729, 62861, 75090, 54953, 50913, 50836, 52093, 51279, 50836, 53649, 51833, 51129, 51279, 58255, 50913, 52348, 50839, 51279, 52134, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 51572, 74096, 50839, 51618, 55038, 50913, 50836, 52093, 51279, 50836, 54599, 51833, 50870, 51279, 60550, 51341, 50917, 50913, 52348, 50839, 51279, 52134, 53341, 53796, 51129, 50460, 55340, 51922, 55796, 51671, 50461, 55080, 51922, 54165, 51748, 56679, 52503, 50799, 56614, 51151, 51890, 51445, 53464, 51151, 51228, 51469, 51061, 51112, 51341, 51307, 51061, 51307, 51495, 63854, 50855, 52093, 52435, 51108, 50415, 51281, 51036, 51385, 51036, 51402, 54213, 55953, 52062, 52105, 51929, 51753, 50423, 51341, 56914, 72375, 51061, 54317, 53643, 51662, 50913, 50836, 52093, 51279, 50836, 52327, 51312, 50427, 51341, 57544, 51495, 51448, 50913, 51833, 51129, 51279, 58255, 50913, 52348, 50839, 51279, 52134, 51929, 51753, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 52603, 51097, 51572, 74096, 50839, 51929, 51884, 51618, 55038, 50913, 50836, 52093, 51279, 50836, 52361, 51199, 54599, 51833, 50870, 51279, 60550, 51495, 50987, 50913, 52348, 50839, 51279, 52134, 51929, 51079, 53341, 53796, 51129, 50460, 53361, 51922, 59255, 51671, 50461, 67314, 51922, 54165, 51748, 55340, 52503, 50799, 58195, 51151, 52775, 51380, 53464, 51151, 51213, 51469, 51341, 50917, 51495, 51307, 52473, 63854, 50855, 52093, 51944, 51108, 50415, 51281, 51655, 51385, 51307, 51402, 54213, 53643, 52335, 51061, 50917, 52105, 51773, 51753, 51510, 54953, 52775, 51422, 54282, 51109, 51268, 65129, 50836, 52093, 51279, 50836, 53335, 51312, 53649, 51833, 51129, 51279, 58255, 51061, 50983, 50913, 52348, 50839, 51279, 52134, 51773, 51753, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 52327, 51097, 51572, 74096, 50839, 51773, 51884, 51618, 73259, 51341, 55125, 50913, 50836, 52093, 51279, 50836, 52603, 50932, 54599, 51833, 50870, 51279, 60550, 51061, 51161, 50913, 52348, 50839, 51279, 52134, 51773, 51254, 53341, 53796, 51129, 50460, 55340, 51922, 55796, 51671, 50461, 55080, 51922, 54165, 51748, 56679, 52503, 50799, 56614, 51151, 53464, 52069, 51228, 51469, 51341, 51307, 51061, 51307, 51495, 63854, 50855, 52093, 52435, 51108, 50415, 51281, 51036, 51385, 51036, 51402, 54213, 55953, 52062, 51890, 51714, 52105, 51929, 51753, 51510, 54953, 53643, 51662, 52569, 51422, 50913, 50836, 52093, 51279, 50836, 52327, 51312, 53649, 51833, 51129, 51279, 58255, 50913, 52348, 50839, 51279, 52134, 51929, 51753, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 52603, 51097, 51572, 74096, 50839, 51929, 51884, 51618, 55038, 50913, 50836, 52093, 51279, 50836, 52361, 51199, 54599, 51833, 50870, 51279, 60550, 52609, 50978, 51495, 50987, 50913, 52348, 50839, 51279, 52134, 51929, 51079, 53341, 53796, 51129, 50460, 53361, 51922, 59255, 51671, 50461, 67314, 51922, 54165, 51748, 55340, 52503, 50799, 52775, 51411, 58195, 51151, 53464, 51293, 51213, 52500, 51341, 50917, 51495, 51307, 52473, 63854, 50855, 52093, 51944, 51108, 50415, 51281, 51655, 51385, 51307, 51402, 54213, 53643, 52151, 51061, 50865, 52105, 51773, 51753, 51510, 54953, 52775, 51422, 52609, 51662, 51268, 65129, 50836, 52093, 51279, 50836, 53335, 51312, 53649, 51833, 51129, 51279, 58255, 51061, 51189, 50913, 52348, 50839, 51279, 52134, 51773, 51753, 53198, 53796, 59275, 50829, 51450, 50855, 52093, 52327, 51097, 51572, 74096, 50839, 51773, 51884, 51618, 73259, 51341, 53562, 50913, 50836, 52093, 51279, 50836, 52603, 50932, 54599, 51833 ]
[ 0, 250, 33928, 13134, 2214, 4246, 1076, 560, 31365, 25999, 6, 10170, 1499, 6, 38668, 20535, 6, 13305, 6, 8, 21979, 9590, 6, 7630, 14805, 10, 12298, 1619, 4780, 19, 63, 15352, 30054, 16426, 6, 278, 11, 83, 3694, 19, 10, 1769, 20889, 8, 10, 16331, 33215, 16739, 9, 274, 6, 230, 406, 6, 274, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 61627, 52376, 52512, 52619, 51661, 50799, 52522, 51300, 53438, 51661, 50438, 52376, 51552, 52619, 51343, 50461, 57246, 50855, 71511, 75799, 50821, 51216, 50993, 51113, 52335, 51488, 52335, 51266, 52335, 51873, 53393, 52981, 52376, 77099, 68549, 50858, 50877, 50890, 52619, 52153, 53901, 52522, 50859, 51493, 50993, 53438, 53474, 52844, 52376, 79483, 73623, 50858, 70796, 52619, 52207, 59948, 51667, 50950, 57246, 50855, 71511, 51873, 54362, 51216, 55311, 58829, 52376, 50930, 52619, 54815, 51040, 73623, 50858, 50877, 52153, 61495, 52522, 50882, 53438, 54596, 51493, 53451, 58014, 52376, 50821, 52619, 54353, 51705, 50823, 51040, 73623, 50858, 50877, 52153, 57023, 51375, 52335, 51357, 51449, 51107, 52335, 51266, 52335, 58353, 51377, 53331, 51377, 54072, 51377, 51206, 57962, 52185, 50894, 53094, 50858, 69899, 55311, 52981, 50965, 67536, 50858, 50968, 52153, 61521, 52376, 51388, 52619, 68907, 51668, 60406, 52844, 50965, 61806, 50858, 50968, 52153, 59062, 52770, 50887, 54520, 65452, 52457, 51218, 53342, 51343, 50438, 51984, 54482, 52878, 50965, 61806, 50858, 50968, 52153, 56112, 51984, 52768, 51389, 53451, 52738, 51984, 52035, 50312, 61806, 50858, 50968, 52207, 57023, 51375, 52335, 51357, 52335, 51107, 52335, 51266, 51449, 50461, 52185, 50858, 58353, 51377, 53331, 51377, 54072, 51377, 53094, 50858, 69899, 50993, 79554, 53576, 50965, 67536, 50858, 50968, 52153, 53901, 52376, 51012, 51668, 50993, 52619, 54581, 52844, 50965, 61806, 50858, 50968, 52153, 59062, 52770, 50809, 54520, 65452, 52457, 50983, 53342, 51343, 50438, 51984, 54482, 52878, 50965, 61806, 50858, 50968, 52153, 56112, 51984, 52768, 51389, 53451, 52738, 51984, 52035, 50312, 61806, 50858, 50968, 52207, 57023, 51113, 51637, 51488, 51878, 51266, 51878, 50461, 51667, 50950, 57246, 51056, 53331, 51377, 52197, 51377, 51873, 50858, 54389, 50993, 79554, 53576, 51040, 68549, 50858, 50877, 52153, 61521, 52376, 51354, 52619, 72598, 51493, 60406, 52844, 51040, 73623, 50858, 50877, 52153, 59062, 52457, 50808, 53342, 64141, 54103, 50894, 56600, 54362, 52419, 50823, 51216, 52220, 58829, 52376, 50882, 52619, 54651, 51493, 52035, 50305, 68549, 62125, 52207, 61495, 52522, 51021, 53438, 57322, 52318, 53451, 50828, 53061, 62267, 52376, 50921, 52619, 57830, 51493, 50823, 51040, 68549, 50858, 50877, 54078, 51187, 57023, 51113, 51449, 51488, 51449, 51266, 51449, 50804, 59026, 51667, 51010, 57246, 50855, 71511, 51873, 50890, 54389, 55311, 61923, 52376, 50880, 52619, 55180, 51040, 68549, 50858, 50877, 52153, 61521, 52522, 50858, 53438, 54149, 51493, 60406, 59185, 52376, 50821, 52619, 54154, 51040, 73623, 50858, 50877, 52153, 59948, 51667, 50882, 57246, 50855, 71511, 51873, 54362, 51216, 55311, 58829, 52376, 50880, 52619, 54815, 51040, 73623, 50858, 50877, 52153, 61495, 52522, 51033, 53438, 58631, 51493, 53451, 58014, 52376, 50859, 52619, 54353, 51705, 52035, 50305, 68549, 50858, 50877, 52207, 57023, 51375, 52335, 51357, 51449, 51107, 52335, 51266, 52335, 50461, 52185, 50821, 58353, 51056, 53331, 51056, 54072, 51056, 53094, 50858, 69899, 50993, 79554, 53576, 50965, 67536, 50858, 50968, 52207, 61521, 52376, 51388, 52619, 68907, 51668, 60406, 52844, 50965, 61806, 50858, 50968, 52153, 59062, 52770, 50840, 54520, 65452, 52457, 51141, 53342, 51343, 50438, 51984, 54482, 52878, 50965, 61806, 50858, 50968, 52153, 56112, 51984, 52768, 51389, 53451, 52738, 51984, 52035, 50312, 61806, 50858, 50968, 52207, 57023, 51375, 52335, 51357, 52335, 51107, 52335, 51266, 51449, 50461, 52185, 50858, 58353, 51417, 53331, 51417, 54072, 51417, 53094, 50858, 69899, 50993, 79554, 53576, 50965, 67536, 50858, 50968, 52153, 61521, 52376, 51388, 52619, 68907, 51668, 60406, 52844, 50965, 61806, 50858, 50968, 52153, 59062, 52770, 50813, 54520, 65452, 52457, 50859, 53342, 54362, 51984, 54482, 58829, 52376, 50897, 52619, 61897, 50965, 61806, 50858, 50968, 52153, 56112, 51984, 57795, 52226, 50917, 52393, 57322, 51389, 53451, 58014, 52135, 50952, 52330, 57830, 51984, 52035, 50312, 61806, 50858, 50968, 52153, 57023, 51113, 51637, 51488, 51878, 51266, 51878, 50461, 51667, 51358, 57246, 51127, 53331, 51127, 52197, 51127, 51873, 51977, 54389, 50993, 79554, 53576, 51040, 68549, 50858, 50877, 52153, 53901, 51493, 60406, 52844, 51040, 73623, 50858, 50877, 52153, 53894, 52419, 50823, 51216, 52220, 58829, 51667, 51045, 51873, 61897, 51493, 52035, 50305, 68549, 62125, 52153, 61495, 52135, 51021, 52330, 57322, 52318, 53451, 50828, 53061, 62267, 51667, 50921, 51873, 57830, 51493, 52035, 50305, 68549, 50858, 50877, 54078, 51187, 57023, 51491, 52335, 51113, 52335, 51107, 51449, 50804, 59026, 52522, 50918, 51667, 51196, 51633, 51527, 53955, 51945, 52197, 51945, 52107, 51945, 53438, 51356, 51873, 51356, 51666, 51356, 56950, 55311, 52981, 50989, 50858, 50877, 61806, 52153, 53901, 51216, 60406, 52844, 50989, 50858, 50877, 61806, 52153, 53894, 51389, 55311, 52878, 51667, 51045, 50989, 50858, 50877, 61806, 50858, 51873, 55417, 61495, 52135, 51021, 52330, 57322, 51216, 53451, 58014, 51667, 51045, 51873, 57830, 51668, 52035, 50310, 50858, 50877, 61806, 52153, 57023, 51113, 52335, 51488, 51449, 51266, 51449, 50461, 52376, 50918, 51667, 52827, 52226, 51527, 53331, 51945, 52197, 51945, 53859, 51945, 52619, 51356, 51873, 51977, 52393, 51356, 54389, 55311, 52981, 51040, 73623, 50858, 50877, 52153, 53901, 51493, 60406, 52844, 51040, 73623, 50858, 50877, 52153, 53894, 51216, 55311, 52878, 51667, 50950, 51040, 73623, 50858, 70796, 51873, 52153, 61495, 52135, 51014, 52330, 58631, 51493, 53451, 58014, 51667, 51045, 51873, 57830, 51705, 52035, 50305, 73623, 50858, 50877, 52207, 57023, 51113, 52335, 51357, 52204, 51395, 52335, 50461, 52226, 51685, 54888, 51945, 53955, 51945, 52197, 51945, 53859, 51945, 52393, 51977, 59000, 55311, 52981, 50956, 62125, 50858, 50973, 52153, 53901, 51705, 60406, 52844, 50956, 50858, 70796, 50973, 52153, 53894, 51668, 54482, 58829, 52226, 50858, 52393, 54651, 50956, 50858, 70796, 50973, 52153, 56112, 51668, 57795, 52135, 51030, 52330, 57322, 51216, 53451, 58014, 51667, 50921, 51873, 57830, 51668, 64501, 50858, 70796, 50973, 52153, 57023, 51375, 51449, 51107, 51449, 51266, 51449, 50461, 52135, 50896, 53331, 51127, 54072, 51127, 53286, 51127, 52330, 51016, 69899, 55311, 52981, 50965, 67536, 50858, 50968, 52153, 53901, 51668, 60406, 52844, 50965, 61806, 50858, 50968, 52153, 53894, 51389, 53236, 58829, 52376, 50880, 52619, 54815, 51668, 52035, 50312, 67536, 76640, 52153, 56112, 52522, 50830, 53438, 58631, 51984, 53451, 50828, 53061, 62267, 52376, 50830, 52619, 57830, 53033, 52035, 50312, 67536, 76640, 53474, 51187, 57023, 51113, 52335, 51488, 52335, 51266, 51449, 50804, 59026, 51667, 50882, 57246, 50855, 71511, 51873, 50858, 54389, 55311, 61923, 52376, 50821, 52619, 54718, 51040, 68549, 50858, 50877, 52153, 61521, 52522, 50940, 53438, 58216, 51493, 60406, 59185, 52376, 50859, 52619, 54154, 51040, 73623, 50858, 50877, 52153, 59948, 51667, 50894, 57246, 50855, 53331, 61455, 50833, 51873, 54362, 51216, 55311, 58829, 52376, 50821, 52619, 54651, 51040, 73623, 50858, 50877, 52153, 61495, 52522, 50952, 53438, 58631, 51493, 53451, 58014, 52376, 50859, 52619, 54353, 51705, 50823, 51040, 73623, 50858, 50877, 52207, 57023, 52185, 51033, 51375, 52335, 51357 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 19, 10, 25306, 619, 6, 7630, 14805, 10, 1186, 9, 8597, 31, 26545, 7, 15073, 4, 8504, 11, 83, 3694, 8, 1375, 23, 10, 1769, 20889, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 211, 119, 401, 6, 3676, 6, 211, 6, 8, 230, 624, 63, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 58375, 50871, 50918, 50951, 56039, 50931, 76602, 51492, 50456, 50968, 51036, 50796, 50456, 50999, 50807, 52591, 50951, 53182, 51062, 53520, 60496, 51492, 50796, 66302, 56039, 51062, 64464, 51492, 50456, 51220, 51036, 50796, 50456, 51146, 50807, 52591, 51062, 53182, 50951, 56039, 50871, 52045, 50456, 50999, 52382, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 5175, 15229, 15192, 268, 293, 5, 30443, 11, 10, 2933, 6, 23975, 2369, 18795, 4, 16241, 212, 6820, 8, 3315, 45552, 833, 19, 5, 15651, 23225, 9, 10, 15054, 17838, 6, 2351, 29475, 34879, 14, 21815, 23, 10, 2635, 6, 14775, 2877, 4, 8504, 11, 83, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 10, 38451, 3938, 20889, 6, 19, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 274, 6, 230, 119, 1176, 406, 6, 8, 211, 119, 406, 1271, 7, 63, 38910, 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 ]
[ 56103, 50659, 50294, 50795, 50659, 50299, 50795, 60849, 50809, 61891, 50807, 50737, 50299, 50800, 50737, 50308, 50800, 50737, 50318, 50809, 50705, 50294, 50918, 69579, 50918, 53274, 50918, 53873, 50918, 55566, 76971, 57406, 50809, 50737, 50321, 54745, 56770, 50809, 50737, 50297, 50809, 50737, 50304, 50809, 50737, 50328, 59182, 60849, 50809, 50737, 50301, 50809, 73539, 50809, 50737, 50321, 52628, 50659, 50297, 50795, 71290, 50795, 56737, 50809, 50737, 50292, 50809, 50737, 50297, 50809, 69109, 58741, 56737, 50809, 50737, 50325, 53467, 60849, 50809, 50737, 50296, 50800, 50737, 50302, 50800, 50737, 50309, 50809, 64499, 58067, 60849, 50809, 67623, 52329, 50659, 50301, 50795, 68888, 50795, 59420, 50809, 55845, 50967, 50737, 50292, 66653, 50301, 66653, 50321, 63601, 59420, 50809, 68514, 54056, 56770, 50809, 50737, 50330, 58607, 60849, 50809, 50737, 50321, 52359, 50659, 50297, 50795, 71290, 50795, 55845, 66653, 50326, 57307, 60849, 50809, 50737, 50328, 53307, 61891, 50809, 50737, 50320, 59321, 60849, 50809, 61891, 52444, 50659, 50299, 50795, 71291, 50795, 56737, 50800, 55845, 51091, 50737, 50301, 50807, 50737, 50308, 50807, 68514, 50800, 50705, 50294, 51870, 69579, 51870, 53391, 51870, 53274, 51870, 53686, 51870, 50441, 57406, 50800, 50737, 50318, 51820, 62654, 50795, 50659, 50297, 50795, 68888, 50795, 60849, 50800, 50737, 50297, 66653, 50302, 66653, 50314, 52513, 56737, 50809, 50737, 50320, 58579, 57406, 50809, 50737, 50299, 50809, 50737, 50308, 52555, 50659, 50296, 50800, 50659, 50301, 50800, 55845, 50807, 50737, 50302, 50800, 50737, 50308, 50800, 50737, 50318, 64751, 60849, 54139, 50659, 50297, 50800, 50659, 50301, 50800, 68888, 50800, 60849, 50809, 50737, 50296, 50800, 50737, 50301, 58740, 56770, 52485, 50659, 50299, 50800, 71291, 50800, 57312, 50809, 50737, 50292, 50809, 50737, 50296, 50809, 64499, 58839, 56737, 50809, 50737, 50297, 50809, 50737, 50320, 53793, 50659, 50301, 50809, 60849, 50809, 50737, 50301, 50809, 50737, 50325, 57747, 50659, 50299, 50809, 57312, 50809, 50737, 50304, 50809, 50737, 50328, 50809, 50799, 50659, 50294, 50795, 50659, 50299, 50795, 60849, 50809, 61891, 50807, 50737, 50294, 50807, 50737, 50301, 50807, 68514, 50809, 77818, 51870, 69579, 51870, 53873, 51870, 57026, 51870, 59634, 51870, 50416, 57406, 50809, 50737, 50321, 54745, 56770, 50809, 69109, 59182, 60849, 50809, 50737, 50325, 52628, 50659, 50297, 50795, 71290, 50795, 56737, 50809, 67623, 60010, 56737, 53467, 60849, 58067, 60849, 52329, 50659, 50301, 50795, 68888, 50795, 59420, 50809, 55845, 50967, 50737, 50299, 50807, 50737, 50308, 50807, 69109, 64977, 59420, 54056, 56770, 58607, 60849, 52359, 50659, 50297, 50795, 71290, 50795, 55845, 66653, 50299, 66653, 50306, 66653, 50320, 57775, 60849, 53307, 61891, 58291, 60849, 50809, 61891, 52444, 50659, 50299, 50795, 71291, 50795, 56737, 50800, 55845, 51091, 50737, 50301, 66653, 50308, 66653, 50320, 50795, 68445, 51870, 55327, 51870, 61656, 51870, 78095, 51870, 50441, 57406, 51820, 62654, 50795, 50659, 50297, 50795, 68888, 50795, 60849, 50800, 50737, 50297, 50800, 50737, 50304, 50800, 50737, 50321, 53658, 56737, 50809, 50737, 50292, 50800, 50737, 50302, 58579, 57406, 52555, 50659, 50296, 50800, 50659, 50301, 50800, 55845, 50807, 50737, 50299, 50800, 73539, 50800, 69109, 64620, 60849, 54139, 50659, 50297, 50800, 50659, 50301, 50800, 68888, 50800, 60849, 50809, 50737, 50299, 50809, 50737, 50302, 50809, 69109, 58740, 56770, 50809, 50737, 50292, 50809, 50737, 50297, 52485, 50659, 50299, 50800, 71291, 50800, 57312, 50809, 50737, 50297, 50800, 50737, 50318, 58839, 56737, 50809, 50737, 50321, 53793, 50659, 50301, 50809, 60849, 50809, 50737, 50297, 50800, 50737, 50302, 50800, 50737, 50325, 57747, 50659, 50299, 50809, 57312, 50809, 50737, 50321, 50809, 50799, 50659, 50294, 50795, 50659, 50299, 50795, 60849, 50809, 61891, 50807, 50737, 50299, 50800, 50737, 50308, 50800, 50737, 50318, 50809, 77818, 51870, 69579, 51870, 52689, 51870, 53686, 51870, 50416, 57406, 50809, 50737, 50321, 54745, 56770, 50809, 50737, 50297, 50809, 50737, 50304, 50809, 50737, 50328, 59182, 60849, 50809, 50737, 50301, 50809, 73539, 50809, 50737, 50321, 52628, 50659, 50297, 50795, 71290, 50795, 56737, 50809, 50737, 50292, 50809, 50737, 50297, 50809, 69109, 58741, 56737, 50809, 50737, 50325, 53467, 60849, 50809, 50737, 50296, 50800, 50737, 50302, 50800, 50737, 50309, 50809, 64499, 58067, 60849, 50809, 67623, 52329, 50659, 50301, 50795, 68888, 50795, 59420, 50809, 55845, 50967, 50737, 50292, 66653, 50301, 66653, 50321, 63601, 59420, 50809, 68514, 54056, 56770, 50809, 50737, 50330, 58607, 60849, 50809, 50737, 50321, 52359, 50659, 50297, 50795, 71290, 50795, 55845, 66653, 50326, 57307, 60849, 50809, 50737, 50328, 53307, 61891, 50809, 50737, 50320, 59321, 60849, 50809, 61891, 52444, 50659, 50299, 50795, 71291, 50795, 56737, 50800, 55845, 51091, 50737, 50301, 50807, 50737, 50308, 50807, 68514, 50800, 68445, 51870, 55327, 51870, 54992, 51870, 57026, 51870, 50441, 57406, 50800, 50737, 50318, 51820, 62654, 50795, 50659, 50297, 50795, 68888, 50795, 60849, 50800, 50737, 50297, 66653, 50302, 66653, 50314, 52513, 56737, 50809, 50737, 50320, 58579, 57406, 50809, 50737, 50299, 50809, 50737, 50308, 52555, 50659, 50296, 50800, 50659, 50301, 50800, 55845, 50807, 50737, 50302, 50800, 50737, 50308, 50800, 50737, 50318, 64751, 60849, 54139, 50659, 50297, 50800, 50659, 50301, 50800, 68888, 50800, 60849, 50809, 50737, 50296, 50800, 50737, 50301, 58740, 56770, 52485, 50659, 50299, 50800, 71291, 50800, 57312, 50809, 50737, 50292, 50809, 50737, 50296, 50809, 64499, 58839, 56737, 50809, 50737, 50297, 50809, 50737, 50320, 53793, 50659, 50301, 50809, 60849, 50809, 50737, 50301, 50809, 50737, 50325, 57747, 50659, 50299, 50809, 57312, 50809, 50737, 50304, 50809, 50737, 50328, 50809, 50799, 50659, 50294, 50795, 50659, 50299, 50795, 60849, 50809, 61891, 50807, 50737, 50294, 50807, 50737, 50301, 50807, 68514, 50809, 77175, 51870, 69579, 51870, 53391, 51870, 53274, 51870, 50416, 57406, 50809, 50737, 50321, 54745, 56770, 50809, 69109, 59182, 60849, 50809, 50737, 50325, 52628, 50659, 50297, 50795, 71290, 50795, 56737, 50809, 67623, 60010, 56737, 53467, 60849, 58067, 60849, 52329, 50659, 50301, 50795, 68888, 50795, 59420, 50809, 55845, 50967, 50737, 50299, 50807, 50737, 50308, 50807, 69109, 64977, 59420, 54056, 56770, 58607, 60849, 52359, 50659, 50297, 50795, 71290, 50795, 55845, 66653, 50299, 66653, 50306, 66653, 50320, 57775, 60849, 53307, 61891, 58291, 60849, 50809, 61891, 52444, 50659, 50299, 50795, 71291, 50795, 56737, 50800, 55845, 51091, 50737, 50301, 66653, 50308, 66653, 50320, 50795, 68444, 51870, 69579, 51870, 55283, 51870, 53274, 51870, 54992, 51870, 50441, 57406, 51820, 62654, 50795, 50659, 50297, 50795, 68888, 50795, 60849, 50800, 50737, 50297, 50800, 50737, 50304, 50800, 50737, 50321, 53658, 56737, 50809, 50737, 50292, 50800, 50737, 50302, 58579, 57406, 52555, 50659, 50296, 50800, 50659, 50301, 50800, 55845, 50807, 50737, 50299, 50800, 73539, 50800, 69109, 64620, 60849, 54139, 50659, 50297, 50800, 50659, 50301, 50800, 68888, 50800, 60849, 50809, 50737, 50299, 50809, 50737, 50302, 50809, 69109, 58740, 56770, 50809, 50737, 50292, 50809, 50737, 50297, 52485, 50659, 50299, 50800 ]
[ 0, 250, 33928, 8, 8728, 3495, 2214, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 18558, 6, 1515, 21305, 6, 8, 3459, 9590, 6, 278, 11, 83, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 7630, 14805, 6453, 9, 657, 6, 26545, 6, 8, 7125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50796, 50437, 51118, 50830, 50986, 53402, 51017, 51480, 50440, 51083, 50806, 54765, 50446, 74589, 50970, 65261, 51017, 52441, 76878, 50946, 52263, 51688, 51183, 50450, 51023, 51460, 50947, 51460, 50460, 51217, 50889, 50461, 51020, 51066, 50929, 51066, 57731, 51061, 51735, 50970, 51735, 50424, 51011, 51345, 51017, 60576, 50818, 50946, 60426, 50848, 55098, 51271, 51527, 50848, 51141, 51083, 53174, 50960, 53174, 50436, 75707, 51171, 51336, 50872, 51364, 51525, 50807, 50437, 50843, 58181, 50843, 61190, 50946, 63924, 51051, 50449, 50816, 68357, 50843, 57461, 50843, 53793, 50848, 64443, 69504, 50818, 55985, 51241, 52478, 51271, 55307, 61923, 50946, 65291, 51011, 51551, 50946, 51446, 50423, 51688, 51472, 76775, 50843, 50930, 51118, 53174, 50986, 53174, 50424, 51525, 51134, 53764, 57535, 51217, 70440, 54345, 50878, 54268, 57740, 50946, 62061, 61658, 52847, 50887, 53526, 50995, 50451, 51011, 51033, 50452, 50848, 54796, 53173, 51271, 52282, 50848, 51878, 50872, 63185, 69077, 51171, 71365, 50983, 51525, 50914, 51083, 51761, 50960, 51761, 55986, 61132, 50843, 52981, 50804, 63471, 50946, 51048, 55057, 57286, 51118, 51014, 50986, 51014, 50430, 51083, 50923, 50960, 50923, 50431, 50843, 53810, 50872, 66141, 60957, 52572, 51391, 50437, 51061, 50890, 50970, 54957, 50843, 57014, 51271, 50940, 50946, 59138, 51023, 51603, 50947, 51603, 63262, 65781, 51011, 51551, 50946, 51413, 50868, 51413, 50872, 50846, 51688, 56027, 51525, 51562, 57702, 61425, 51020, 51454, 50929, 51454, 50454, 51217, 70440, 54472, 50833, 55986, 74714, 51061, 51054, 50970, 51054, 50418, 50946, 65734, 64383, 54499, 68753, 59474, 62975, 50425, 50848, 54796, 60568, 51083, 52369, 50960, 52369, 50429, 51271, 51551, 50848, 51295, 51171, 51446, 50872, 51141, 50850, 51191, 50843, 59965, 51525, 51241, 50436, 50843, 63608, 50946, 51056, 53012, 54796, 66943, 50843, 56012, 50872, 66093, 67633, 50841, 57857, 69168, 69866, 51271, 50921, 50946, 51446, 55975, 50828, 53534, 51551, 51688, 51127, 50885, 51091, 50868, 51191, 51525, 77583, 78874, 51118, 52369, 50986, 52369, 50421, 70037, 57363, 61871, 53425, 51217, 53182, 50843, 60631, 50843, 58291, 50946, 62750, 58131, 54472, 51025, 50443, 51011, 51030, 57403, 61871, 63865, 51271, 51196, 50848, 51283, 50843, 50383, 55913, 50889, 51083, 51274, 50960, 51274, 50449, 50872, 51141, 50850, 51189, 51171, 51417, 50455, 50843, 54625, 50843, 50839, 55985, 62659, 50946, 51377, 53069, 50843, 70171, 51014, 50986, 51014, 50422, 51083, 51388, 50960, 51388, 50423, 50872, 56814, 58434, 53473, 50836, 57453, 56274, 51061, 50890, 50970, 65838, 51271, 50940, 50946, 54796, 59076, 51023, 51500, 50947, 51500, 50434, 50946, 51189, 50868, 51291, 51688, 51077, 51525, 77776, 55310, 51011, 51356, 54268, 53162, 51020, 51454, 50929, 51454, 50445, 51217, 66696, 54472, 70834, 50843, 57583, 51061, 51932, 50970, 51932, 50456, 50946, 65832, 52467, 54996, 50818, 62870, 59980, 50843, 63672, 50953, 51551, 51037, 51343, 53160, 51291, 51525, 51043, 50419, 50843, 63242, 52827, 50929, 52827, 59915, 54929, 51171, 72042, 58528, 50843, 61300, 50843, 56866, 50988, 50818, 51037, 68017, 50848, 50884, 53012, 51233, 50843, 63674, 50953, 72432, 54672, 50843, 53083, 51332, 51472, 50885, 51218, 50868, 51294, 51061, 52827, 50970, 52827, 50451, 51133, 51196, 51525, 51346, 50843, 59567, 50843, 58660, 50988, 51345, 50843, 54472, 50855, 50796, 52399, 60955, 50847, 73557, 52141, 54472, 58528, 51133, 63798, 59483, 50988, 51472, 50434, 50953, 73648, 50379, 55913, 51116, 51020, 51573, 50929, 51573, 50435, 50848, 51189, 53160, 51417, 51037, 50834, 54268, 57740, 51171, 64211, 55309, 63793, 51118, 50882, 75654, 50452, 50843, 58014, 50988, 50836, 51037, 62830, 78860, 50802, 50960, 52325, 50843, 54472, 50854, 52563, 51014, 50885, 56613, 50828, 51061, 50930, 50970, 80042, 51133, 52282, 50885, 51295, 51332, 50918, 74648, 50868, 51141, 50843, 50855, 51023, 51460, 50947, 51460, 50419, 51525, 51048, 59915, 54956, 50988, 54982, 64379, 51066, 50929, 51066, 57096, 61300, 50843, 63539, 50885, 60576, 58269, 63218, 51932, 50970, 51932, 50440, 50843, 50887, 53012, 62813, 50848, 55590, 50843, 53083, 51271, 51527, 50848, 51218, 51171, 51446, 50872, 63185, 50380, 55913, 51346, 51083, 52311, 50960, 52311, 50451, 50850, 51141, 50457, 50843, 50839, 55985, 59700, 50843, 50836, 57377, 51162, 50419, 50843, 60955, 50872, 56754, 57158, 52467, 61521, 50848, 59225, 51271, 50921, 50431, 50946, 55309, 56859, 51011, 51356, 50435, 50868, 51413, 51688, 51413, 50946, 51115, 50843, 50381, 55913, 51346, 51118, 52266, 50986, 52266, 54268, 59484, 51217, 51056, 50843, 54345, 70834, 50843, 53875, 50885, 59567, 50843, 54212, 50862, 53534, 51033, 78738, 50359, 50963, 60461, 51271, 54527, 50419, 50848, 53380, 51171, 53363, 50872, 53363, 50850, 53380, 50843, 54031, 51525, 51377, 51083, 51014, 50960, 51014, 50431, 50804, 56714, 52665, 50976, 50448, 51996, 50962, 50452, 52196, 50993, 50799, 51946, 50993, 50424, 51996, 60493, 51171, 51417, 50848, 51637, 50872, 51218, 71302, 50434, 52196, 50975, 50435, 51271, 52195, 51525, 51159, 50443, 50946, 71493, 52196, 52737, 67746, 54472, 58186, 50872, 53759, 50839, 51118, 50940, 50986, 50940, 50454, 50848, 62237, 52349, 50804, 50857, 51083, 51192, 50960, 51192, 50457, 50843, 57023, 51271, 50940, 50460, 50946, 50887, 55986, 50828, 51061, 50809, 68902, 50416, 51011, 51196, 50868, 51191, 51688, 51472, 50946, 51295, 51525, 51162, 58825, 60400, 51023, 51483, 50947, 51483, 73535, 55477, 51217, 52496, 54996, 67691, 51020, 51483, 50929, 51483, 50434, 50843, 57405, 50885, 65761, 60975, 57158, 63218, 51932, 50970, 51932, 53550, 54247, 51011, 50940, 50848, 54692, 55354, 50843, 59787, 50848, 52519, 51171, 51077, 50872, 51189, 50850, 51189, 51525, 51377, 51083, 51870, 50960, 51870, 50449, 51271, 51551, 50455, 50843, 50862, 55975, 61629, 50946, 59702, 50839, 52478, 50843, 58745, 50872, 66093, 56814, 53473, 50809, 52665, 51379, 53327, 56865, 51271, 50940, 50946, 51472, 50843, 50867, 51946, 64338, 51011, 51551, 51688, 51291, 50885, 51189, 50868, 51191, 51525, 69167, 50890, 52196, 51603, 50440, 50843, 58780, 51217, 51073, 51946, 51932, 54141, 53846, 52800, 50843, 54859, 50946, 66825, 66636, 57637, 50843, 50890, 51996, 51072, 50455, 50804, 60880, 51011, 50940, 50848, 54796, 50818, 51809, 51271, 51196, 51171, 51446, 50848, 51189, 79274, 71302, 50843, 72637, 51100, 50417, 52665, 54217, 59705, 56344, 50946, 51162, 50843, 54345, 59076, 50843, 59311, 51118, 51033, 50986, 51033, 50437, 50872, 63694, 56754, 52444, 50804, 54845, 78860, 51388, 50960, 51388, 50443, 51271, 60224, 50946, 51291, 71970, 51061, 50887, 50970, 58181, 51011, 51336, 50843, 66943, 51688, 51417, 50885, 51141, 60172, 51525, 51110, 51023, 50975, 50947, 72747, 50843, 50839, 54124, 55250, 50855, 51020, 51653, 50929, 51653, 50459, 51217, 51056, 52177, 50843, 52981, 51061, 51735, 50970, 51735, 50421, 50946, 63204, 54998, 54218, 60161, 50868, 56171, 50843, 65216, 62975, 50848, 52749, 51171, 51127, 50848, 51141, 79274, 50850, 63185, 50887, 51083, 52512, 50960, 52512, 50433, 51271, 51551, 51525, 51111, 50439, 50843, 54840, 50946, 58668, 54119, 63653, 50843, 55726, 52665, 51045, 50455, 50872, 56814, 56754, 53988, 53434, 61630, 51996, 50962, 56540, 50940, 50946, 52154, 50846, 53440 ]
[ 0, 713, 33558, 3495, 2214, 6, 278, 11, 5, 762, 9, 272, 538, 6, 22750, 1626, 8593, 26358, 149, 63, 15352, 30054, 15229, 4, 590, 10, 20889, 9, 19446, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 20425, 12447, 1001, 2877, 4, 20, 10320, 1258, 1575, 10, 11739, 9, 18558, 18046, 6, 2382, 3459, 8, 21979, 29589, 6, 3459, 9590, 6, 8, 17691, 28430, 6, 2351, 10, 11577, 2365, 2369, 4, 20, 33215, 16739, 9, 274, 6, 163, 428, 6, 12608, 6, 274, 6, 8, 163, 428, 3639, 7, 5, 2214, 18, 17627, 17274, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50796, 52354, 50940, 51616, 50886, 51282, 50874, 51118, 50874, 51061, 50978, 51023, 50827, 51530, 50886, 50872, 57638, 50938, 51257, 50833, 51649, 53243, 55051, 63465, 56127, 51616, 51309, 51282, 50886, 51530, 50912, 51023, 51126, 51118, 51319, 51257, 50864, 50872, 55716, 62503, 51282, 50905, 51118, 78011, 50822, 65976, 50872, 57750, 50808, 51257, 54475, 70746, 51530, 50886, 51649, 58745, 51530, 51022, 51023, 51022, 51061, 51269, 51649, 50827, 51257, 50851, 60428, 50425, 51616, 50905, 51282, 50905, 51118, 78011, 50905, 51023, 50905, 51530, 56144, 57750, 50805, 51257, 50805, 51649, 53466, 50945, 53841, 54094, 54382, 51130, 60426, 51616, 57123, 67518, 51282, 50822, 51118, 50907, 51061, 50907, 51023, 51123, 51530, 50904, 56992, 57742, 51257, 50874, 51649, 55476, 56516, 51530, 50851, 51649, 56529, 51023, 50827, 79868, 51118, 50867, 51282, 50867, 51257, 50833, 64943, 50872, 57158, 57667, 51616, 52691, 59372, 51282, 50822, 51118, 50822, 51061, 68851, 50904, 51530, 50867, 56371, 64943, 51257, 50862, 51649, 53345, 51031, 50440, 51530, 50851, 51023, 50851, 51649, 50810, 51257, 56532, 51061, 50904, 51118, 50904, 51282, 51126, 51616, 51297, 50909, 58929, 63610, 51616, 51419, 51282, 51419, 51118, 51419, 51061, 51419, 51023, 51679, 51530, 51679, 50872, 51141, 50909, 51141, 51257, 51295, 51649, 51295, 50444, 67518, 60583, 50964, 56702, 54094, 54382, 51130, 52881, 50927, 51370, 50891, 53870, 50952, 52947, 50886, 77600, 51341, 50874, 51020, 50978, 51193, 50827, 51546, 50886, 57137, 62199, 51298, 51424, 50323, 50805, 64067, 56933, 52947, 51309, 51401, 50886, 51546, 50851, 51193, 50941, 51341, 50904, 50939, 58179, 56395, 62503, 51401, 50905, 51341, 50978, 51020, 74092, 51006, 50847, 53932, 79300, 51546, 50886, 63230, 51298, 75471, 58936, 51546, 51022, 51020, 51022, 51439, 50874, 51298, 57424, 50808, 56538, 50425, 52947, 50905, 51401, 50905, 51341, 50905, 51020, 50905, 51193, 50905, 51546, 56307, 51105, 61520, 60771, 51393, 50319, 51501, 50323, 58679, 54094, 53500, 51130, 60426, 52947, 69800, 52605, 79300, 51401, 50822, 51341, 50907, 51020, 50907, 51193, 51123, 51546, 50904, 50939, 79708, 51418, 50323, 52472, 56512, 51546, 55270, 51193, 79487, 50822, 51341, 50867, 51401, 55716, 57667, 52947, 52691, 51105, 50858, 51401, 50822, 51341, 50822, 51020, 50822, 51193, 50904, 51546, 50867, 57137, 62199, 51298, 75471, 53345, 51031, 50440, 51546, 50851, 51193, 50851, 51439, 50822, 51298, 50854, 50939, 58935, 51020, 50904, 51341, 50904, 51401, 51126, 52947, 51297, 61204, 50443, 52947, 51419, 51401, 51419, 51341, 51419, 51020, 51419, 51193, 51679, 51546, 51679, 50847, 51204, 50939, 51204, 50444, 51105, 50858, 51298, 51241, 51439, 51351, 60583, 50953, 54273, 54094, 54382, 51130, 52881, 51325, 50948, 51983, 50461, 51616, 51803, 51557, 51803, 51083, 51803, 50872, 51623, 54516, 51551, 51061, 51803, 51193, 52015, 51185, 52015, 50939, 51623, 51007, 51591, 52403, 51591, 53358, 63465, 64336, 52917, 50801, 54094, 52538, 51130, 50839, 51361, 50891, 51658, 51392, 53044, 66891, 51557, 51370, 50371, 52388, 52743, 58918, 51401, 51650, 54094, 52538, 51130, 79349, 53555, 66308, 52186, 50865, 51616, 50849, 52352, 51985, 50837, 53870, 50896, 52072, 51243, 53034, 51243, 52173, 50887, 52947, 51358, 53358, 59566, 53405, 52173, 50859, 51298, 64841, 55196, 50845, 51970, 50421, 50979, 55035, 77675, 52173, 54020, 54094, 54382, 51130, 52925, 52173, 50948, 51298, 64841, 56238, 50977, 76080, 62432, 51105, 51016, 51950, 50879, 53358, 60371, 51298, 74458, 52173, 50952, 50939, 51177, 50847, 61365, 50901, 60583, 50953, 54273, 54094, 54382, 51130, 60233, 52173, 54353, 58819, 51298, 50978, 63573, 58324, 78774, 51983, 55563, 50896, 52398, 51243, 51716, 51243, 52173, 54020, 51392, 63180, 52173, 54718, 50909, 51242, 51298, 51242, 50992, 60429, 50901, 59195, 51105, 50807, 52173, 54020, 54094, 53500, 51130, 60426, 52173, 54154, 50909, 51418, 50319, 64232, 50977, 78774, 62432, 51325, 51016, 51784, 51345, 53358, 53044, 51298, 51242, 50909, 51177, 50992, 51177, 50979, 50901, 60583, 73438, 52159, 59250, 54094, 54382, 51130, 52881, 51784, 50952, 51298, 51242, 50909, 51177, 50992, 50977, 78774, 51983, 54516, 50807, 52072, 51243, 52009, 51243, 51900, 50859, 51557, 51422, 53358, 53227, 51900, 63654, 63253, 56743, 55257, 50901, 51970, 50425, 51900, 58798, 50945, 57130, 54094, 52538, 51130, 52925, 51900, 72580, 64841, 50977, 59458, 59082, 51983, 50437, 51900, 54773, 51186, 51013, 53358, 60371, 51900, 59591, 51007, 51481, 50939, 56743, 55711, 50901, 51970, 50449, 51784, 58138, 50953, 55855, 54094, 52538, 51130, 60233, 51900, 50952, 51007, 54509, 50945, 60014, 56204, 55257, 50901, 51983, 53870, 51013, 52072, 51243, 53034, 51243, 52173, 53287, 51392, 63180, 52173, 54718, 51298, 64841, 55196, 60429, 50901, 51970, 50425, 52173, 58292, 51096, 57130, 54094, 54382, 51130, 60426, 51784, 59099, 50939, 51418, 50319, 56713, 60429, 50901, 51983, 50437, 52186, 51345, 50438, 51105, 51013, 53358, 60371, 51298, 64841, 55200, 50847, 60429, 50977, 60583, 51186, 51013, 51193, 61986, 54094, 54382, 51130, 52881, 52186, 50924, 51298, 64841, 56238, 60429, 50977, 51983, 53870, 50896, 52072, 51243, 53034, 51243, 52173, 50921, 51341, 51518, 53358, 53227, 52173, 50921, 51298, 64841, 55196, 50845, 51970, 50421, 50979, 50901, 50425, 52173, 55889, 51096, 53305, 54094, 53500, 51130, 60426, 52173, 57748, 51298, 64841, 56238, 50977, 76080, 62432, 51105, 51016, 51950, 50893, 53358, 60371, 51298, 74458, 52173, 64558, 51177, 50847, 61365, 50901, 60583, 50953, 54273, 54094, 54382, 51130, 52881, 58819, 51950, 50865, 51298, 50978, 63573, 58324, 78774, 51983, 55563, 50896, 52398, 51243, 51716, 51243, 52933, 53841, 51392, 63180, 52933, 51835, 50909, 51242, 51298, 51242, 50992, 60429, 50901, 51970, 50425, 52933, 53950, 51105, 53305, 54094, 52538, 51130, 52925, 52933, 66278, 51418, 50319, 64232, 50977, 78774, 62432, 51325, 51016, 51784, 51215, 53358, 53044, 51298, 51242, 50909, 51177, 50992, 51177, 50979, 50901, 60583, 73438, 52159, 57130, 54094, 52538, 51130, 60233, 51784, 59465, 51298, 51242, 50909, 51177, 50992, 50977, 78774, 51983, 54516, 50807, 52072, 51243, 52009, 51243, 52186, 50800, 51557, 51538, 53358, 63180, 52186, 51835, 50939, 63253, 56743, 55257, 50901, 51970, 50425, 52186, 51620, 50945, 57130, 54094, 54382, 51130, 60426, 52186, 51628, 51007, 64841, 50977, 59458, 59082, 51983, 50437, 52186, 51724, 51186, 51013, 53358, 60371, 52186, 60835, 51007, 51481, 50939, 56743, 55711, 50901, 51970, 50449, 51784, 58710, 50953, 55855, 54094, 54382, 51130, 60233, 51900, 50865, 51007, 54509, 50945, 60014, 56204, 55257, 50901, 51983, 50461, 52173, 50980, 53870, 50896, 52072, 51801, 53034, 51801, 53358, 53227, 51298, 64841, 55196, 60429, 50901, 59195, 51096, 53305, 54094, 53500, 51130, 52925, 50939, 51418, 50319, 56713, 60429, 50901, 62432, 51105, 51016, 53358, 60371, 51298, 64841, 55200, 50847, 60429, 50977, 60583, 58918, 51401, 59621, 54094, 54382, 51130, 52881, 58819, 51557, 51418, 50319, 64841, 56238, 60429, 50977, 51983, 53870, 50896, 52947, 50943, 53358, 53227, 51298, 64841, 55196, 50845, 51970, 50421, 50979, 55035, 77675, 53707, 58435, 54094, 52538, 51130, 52925, 51298, 64841, 56238, 50977, 76080, 62432, 51105, 51016, 52947, 50995, 53358, 60371 ]
[ 0, 250, 5679, 26709, 8, 980, 219, 5175, 25771, 1349, 4246, 38668, 18569, 8, 3459, 8669, 4, 20, 2214, 34, 10, 19448, 8, 3366, 219, 5466, 6, 19, 10, 15352, 30054, 1318, 4, 85, 18, 11, 204, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 274, 538, 6, 8, 3136, 23, 10, 38451, 3938, 20889, 9, 727, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 6, 211, 119, 6, 230, 6, 8, 274, 3639, 7, 5, 33535, 13569, 9862, 9, 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 ]
[ 56103, 50444, 51772, 50904, 51408, 51126, 58241, 50904, 54142, 51126, 50448, 51772, 51128, 58241, 74810, 51408, 50971, 52004, 50941, 54142, 50971, 53807, 61096, 51772, 50971, 58241, 68357, 51408, 50941, 52004, 50941, 54142, 50941, 53807, 66585, 51772, 51079, 52004, 51051, 51408, 50907, 58241, 51079, 53807, 51051, 54142, 50907, 51601, 51893, 51419, 51322, 51679, 53775, 51419, 55831, 51679, 50416, 51256, 51381, 51408, 51679, 54963, 51381, 54142, 51679, 50430, 52031, 51432, 51334, 50972, 51772, 52518, 55783, 51432, 53091, 50972, 58241, 52518, 50431, 51209, 51254, 54240, 51254, 50436, 51390, 51097, 51408, 50932, 53136, 51097, 54142, 50932, 50437, 51256, 51333, 54963, 51333, 50448, 51772, 58898, 51229, 51477, 51334, 51542, 52286, 52256, 58241, 58898, 53956, 51477, 53091, 51542, 78534, 52256, 51809, 51408, 51592, 51256, 52140, 51322, 53866, 52000, 52431, 54142, 51592, 54963, 52140, 55831, 53866, 65725, 52431, 50799, 51390, 51419, 52000, 51679, 51256, 51680, 51893, 51679, 53136, 51419, 65725, 51679, 54963, 51680, 53775, 51679, 50429, 51664, 51376, 52031, 52731, 60607, 51376, 55783, 52731, 50430, 51334, 51006, 53091, 51006, 50434, 51390, 51775, 52000, 51852, 51408, 51576, 53136, 51775, 65725, 51852, 54142, 51576, 50444, 51229, 51484, 52286, 54836, 51334, 51484, 51772, 60326, 53956, 51484, 78534, 54836, 53091, 51484, 58241, 60326, 50453, 51209, 51738, 51322, 52378, 51408, 51380, 54240, 51738, 55831, 52378, 54142, 51380, 50454, 51830, 51645, 65853, 51645, 51601, 52286, 52188, 51229, 51412, 51334, 51172, 78534, 52188, 53956, 51412, 53091, 51172, 50416, 51256, 51447, 54963, 51447, 50424, 51408, 51749, 52000, 51627, 54142, 51749, 65725, 51627, 50425, 51390, 52188, 53136, 52188, 50434, 51322, 51709, 55831, 51709, 50443, 51334, 50978, 53091, 64208, 52286, 53280, 51256, 52168, 51229, 51051, 78534, 53280, 54963, 52168, 53956, 51051, 50448, 51408, 50838, 51390, 50933, 54142, 50838, 53136, 50933, 50452, 52031, 51365, 55783, 51365, 50453, 51334, 52378, 53091, 52378, 50457, 51229, 51006, 53956, 51006, 50799, 51390, 51381, 51408, 51381, 52000, 51679, 53136, 51381, 54142, 51381, 65725, 51679, 50429, 54223, 51387, 51209, 50912, 51334, 50905, 51772, 51824, 50739, 50295, 51387, 54240, 50912, 53091, 50905, 58241, 51824, 50434, 51408, 51806, 52286, 51535, 51322, 51423, 51256, 51277, 54142, 51806, 78534, 51535, 55831, 51423, 54963, 70856, 51229, 51199, 51256, 51680, 51451, 51484, 53956, 51199, 54963, 51680, 56477, 51484, 50453, 52000, 51637, 65725, 51637, 50454, 51322, 51637, 51408, 51965, 55831, 51637, 54142, 51965, 55746, 51256, 52168, 52000, 51381, 51390, 51542, 51893, 51381, 54963, 52168, 65725, 51381, 53136, 51542, 53775, 51381, 50440, 51664, 51254, 52031, 51737, 60607, 51254, 55783, 51737, 50441, 51334, 51174, 53091, 51174, 50445, 52000, 52378, 51408, 51576, 51390, 51576, 65725, 52378, 54142, 51576, 53136, 51576, 50454, 51772, 65988, 58241, 65988, 50455, 51229, 51484, 51334, 51484, 52286, 53892, 53956, 51484, 53091, 51484, 78534, 53892, 51809, 51830, 51172, 51322, 51645, 51209, 51576, 65853, 51172, 55831, 51645, 54240, 51576, 50417, 51408, 51484, 54142, 51484, 50426, 52286, 52048, 51256, 52136, 51334, 51775, 51229, 51172, 78534, 52048, 54963, 52136, 53091, 51775, 53956, 51172, 50436, 52000, 51627, 51408, 51749, 51390, 52048, 65725, 51627, 54142, 51749, 53136, 52048, 50445, 51322, 51576, 55831, 51576, 50446, 51256, 51079, 54963, 51079, 50455, 52286, 52407, 51256, 52783, 51334, 51058, 51229, 51142, 78534, 52407, 54963, 52783, 53091, 51058, 53956, 51142, 50459, 51408, 50972, 51390, 51006, 54142, 50972, 53136, 51006, 51809, 51334, 51576, 52031, 51376, 53091, 51576, 55783, 51376, 50421, 51229, 51051, 53956, 59386, 51390, 51637, 51408, 51381, 52000, 51679, 53136, 51637, 54142, 51381, 65725, 51679, 50441, 51772, 52192, 51334, 50974, 58241, 52192, 53091, 50974, 50442, 54223, 51697, 51209, 50912, 50739, 50295, 51697, 54240, 71095, 51408, 51709, 54142, 51709, 50447, 52286, 51749, 51322, 51642, 51256, 51328, 78534, 51749, 55831, 51642, 54963, 51328, 50457, 51229, 50932, 51451, 51709, 51256, 51423, 53956, 50932, 56477, 51709, 54963, 51423, 53069, 51408, 52407, 52000, 52263, 51322, 51878, 51256, 51961, 54142, 52407, 65725, 52263, 55831, 51878, 54963, 51961, 50439, 51334, 51419, 51229, 51679, 53091, 51419, 53956, 51679, 50440, 52286, 52528, 51256, 52015, 78534, 52528, 54963, 52015, 50454, 51390, 51254, 51408, 51174, 53136, 51254, 54142, 51174, 50459, 51334, 51172, 52031, 52034, 53091, 51172, 55783, 52034, 52591, 51334, 52378, 53091, 52378, 50421, 51229, 51172, 51256, 51080, 53956, 51172, 54963, 51080, 50429, 52000, 52168, 65725, 52168, 50430, 51390, 51679, 51408, 52015, 53136, 51679, 54142, 52015, 50444, 52031, 51432, 51451, 51058, 55783, 51432, 56477, 51058, 50449, 51322, 53957, 51893, 51775, 55831, 53957, 53775, 51775, 50458, 51664, 51738, 60607, 51738, 50459, 51256, 55844, 51334, 51775, 54963, 55844, 53091, 51775, 52591, 52000, 51484, 51408, 51961, 51390, 51058, 65725, 51484, 54142, 51961, 53136, 51058, 50425, 51924, 50972, 54173, 66665, 51322, 51806, 55831, 51806, 50430, 51893, 51534, 53775, 51534, 50439, 52004, 51174, 52000, 51576, 51390, 51423, 53807, 51174, 65725, 51576, 53136, 51423, 50443, 52700, 51376, 54030, 51376, 50448, 51830, 53957, 54280, 51806, 65853, 53957, 54876, 51806, 50449, 51390, 51797, 53136, 51797, 50458, 51451, 51627, 52700, 51380, 56477, 51627, 54030, 51380, 50459, 51334, 51328, 53091, 51328, 52591, 51366, 51806, 52004, 51312, 51408, 51309, 56431, 51806, 53807, 51312, 54142, 51309, 50430, 52286, 53577, 51229, 51637, 51334, 51637, 51893, 51318, 78534, 53577, 53956, 51637, 53091, 51637, 53775, 51318, 50431, 51256, 52519, 54963, 52519, 50452, 52000, 51381, 51390, 51542, 51893, 51542, 51256, 52015, 65725, 51381, 53136, 51542, 53775, 51542, 54963, 52015, 53069, 52031, 53313, 51664, 51174, 51334, 50972, 55783, 53313, 60607, 51174, 53091, 50972, 50424, 51390, 51709, 52000, 52378, 51408, 52188, 53136, 51709, 65725, 52378, 54142, 52188, 50434, 52286, 53697, 51229, 51576, 51772, 54521, 51334, 51576, 78534, 53697, 53956, 51576, 58241, 54521, 53091, 51576, 50443, 51209, 52188, 54240, 52188, 50444, 51322, 51576, 51408, 51199, 51830, 51645, 55831, 51576, 54142, 51199, 65853, 51645, 50453, 52286, 53892, 51256, 51965, 51334, 51534, 78534, 53892, 54963, 51965, 53091, 51534, 50454, 51229, 51172, 53956, 51172, 51601, 51390, 52460, 51408, 54249, 52000, 51878, 53136, 52460, 54142, 54249, 65725, 51878, 50424, 51322, 52188, 55831, 52188, 50425, 51256, 51172, 54963, 51172, 50435, 51772, 52482, 52004, 50907, 58241, 52482, 53807, 50907, 50440, 52004, 50851, 53807, 54478, 51772, 50907, 58241, 74722, 52004, 50851, 53807, 70936, 51772, 51074, 58241, 56989, 52004, 51753, 53807, 51753, 50455, 51322, 53674, 51893, 51542, 51256, 51381, 55831, 53674, 53775, 51542, 54963, 51381, 56020, 52031, 51432, 51772, 51387, 51334, 50972, 55783, 51432, 58241, 51387, 53091, 60147, 51209, 51470, 54240, 51470, 50428, 51390, 50932, 51408, 51709, 51256, 51806, 53136, 50932, 54142, 51709, 54963, 51806, 50438, 51229, 51108, 53956, 51108, 50439, 51772, 56869, 51334, 51108, 52286, 56123, 58241, 56869, 53091, 51108, 78534, 56123, 50450, 51256, 54171, 51408, 53142, 54963, 54171, 54142, 53142, 50451 ]
[ 0, 250, 19448, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 2382, 3459, 8669, 6, 38668, 22052, 6, 36075, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 7212, 20889, 9, 8403, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 83, 6, 211, 6, 8, 163, 119, 3639, 7, 5, 3366, 219, 8, 980, 219, 5466, 6, 442, 24, 10, 1969, 2564, 13, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57530, 57613, 61512, 63759, 51072, 51289, 51072, 51326, 51072, 50460, 51701, 51732, 53051, 51732, 50461, 54549, 53601, 52016, 51732, 52252, 53601, 52009, 51732, 52308, 50275, 51059, 53005, 55267, 61493, 54631, 53139, 51552, 50804, 60107, 55252, 58555, 50894, 51450, 52010, 50439, 55252, 51029, 51180, 78552, 54106, 51059, 51382, 59690, 52962, 50894, 52308, 50275, 51059, 53139, 51059, 57665, 51039, 50894, 51302, 52010, 50431, 54106, 54055, 50432, 55252, 52750, 51052, 55734, 55252, 51300, 57665, 51180, 50894, 51382, 59690, 52962, 73361, 52091, 54217, 52295, 54217, 69036, 51059, 57665, 51039, 72533, 54106, 51059, 51302, 60107, 52645, 55024, 51052, 55734, 52645, 51300, 57665, 50443, 53559, 51761, 51180, 57152, 50852, 64978, 59690, 52962, 73361, 54106, 51029, 69036, 51059, 57665, 51039, 50894, 51302, 52010, 50431, 52645, 50803, 53559, 51795, 50432, 51976, 55734, 52645, 51300, 57665, 50444, 52962, 50894, 51382, 59690, 52962, 77741, 52456, 51732, 52525, 51732, 53169, 51732, 50461, 52587, 51059, 52091, 51732, 52252, 51732, 52295, 51732, 54415, 51732, 52233, 51732, 51716, 51732, 51755, 52010, 51039, 72533, 53559, 51029, 51302, 60107, 52587, 52651, 51739, 55734, 52587, 51300, 57665, 50444, 52449, 51745, 50852, 50894, 51382, 59690, 52962, 50894, 60139, 51059, 53559, 52512, 57665, 51039, 50894, 51302, 60107, 52587, 50811, 52449, 51527, 59944, 55734, 52587, 51300, 57665, 50444, 52962, 50894, 51382, 59690, 52962, 57308, 50852, 58055, 52517, 51732, 51855, 51732, 50461, 52016, 51732, 52009, 51732, 51701, 51732, 53051, 51732, 51813, 51184, 61163, 51059, 52449, 52379, 50801, 52801, 50804, 61408, 53300, 50804, 52119, 52660, 52651, 50803, 52594, 52841, 52660, 51300, 50804, 53609, 51224, 50803, 52612, 64824, 50803, 53061, 52935, 51289, 58055, 52708, 51184, 50461, 53139, 51059, 61163, 51059, 52962, 55267, 61493, 54631, 54106, 51237, 50903, 60107, 52660, 52651, 51052, 55734, 52660, 51009, 53559, 51237, 57665, 51180, 55230, 52449, 51527, 50903, 59690, 52962, 50894, 72910, 50800, 55252, 51059, 52252, 51732, 52009, 51732, 52471, 51732, 57665, 50415, 51185, 51048, 50416, 51810, 54745, 53706, 51048, 51039, 57852, 51020, 51233, 50424, 51185, 51742, 50425, 51810, 53450, 53706, 51742, 50791, 52119, 51810, 51376, 55252, 52651, 51052, 79726, 55943, 52980, 50434, 64138, 52980, 50435, 77345, 52980, 50791, 63892, 56775, 51505, 52509, 51505, 50438, 55252, 51300, 57665, 50441, 51020, 53801, 50442, 51185, 53801, 50443, 51810, 53801, 50444, 53706, 53801, 50791, 69389, 52509, 51505, 50447, 56775, 51505, 51955, 51052, 50881, 50607, 58268, 56917, 51388, 53298, 72333, 52962, 77741, 52509, 51045, 50461, 56775, 51045, 52308, 50275, 51059, 57665, 50418, 53768, 52827, 50419, 60542, 52827, 51039, 50894, 51544, 52119, 52962, 79726, 55252, 52057, 55252, 51300, 57665, 51180, 50894, 51955, 51052, 50881, 50607, 52163, 52962, 73361, 52645, 51059, 52295, 51732, 52471, 51732, 72910, 50940, 57665, 50415, 51403, 51977, 51810, 50858, 50416, 53706, 50890, 51039, 57852, 51089, 51790, 50424, 51020, 66659, 51401, 76510, 50862, 51544, 57925, 52645, 52119, 51403, 51314, 52962, 79726, 51810, 68630, 51020, 51314, 53706, 51314, 50437, 56775, 50802, 52509, 52125, 52645, 51300, 57665, 50441, 57288, 56458, 50442, 64138, 56458, 50443, 51810, 55002, 77345, 55002, 51180, 69389, 56775, 51483, 52509, 51483, 51955, 51052, 50881, 50607, 58268, 53298, 51045, 50455, 56917, 69919, 52962, 77741, 52509, 51045, 50461, 56775, 51045, 69036, 51029, 57665, 50418, 53768, 51009, 50419, 60542, 51009, 51039, 50894, 51544, 52119, 52962, 79726, 52645, 52057, 52645, 51009, 57665, 51180, 50894, 51955, 51052, 50881, 50607, 52163, 52962, 73361, 51716, 51732, 52471, 51732, 74290, 51110, 52587, 51059, 57665, 50415, 51089, 75240, 51020, 50914, 50417, 51092, 51110, 50418, 51403, 50828, 53477, 51159, 51039, 50894, 50424, 51092, 51423, 50425, 51403, 51423, 51118, 51423, 53477, 52015, 50426, 51089, 54447, 56998, 51020, 51244, 50432, 52587, 52750, 51052, 79726, 51118, 52212, 50434, 51089, 51824, 50435, 52047, 52212, 51092, 52212, 51815, 54532, 50791, 67066, 51401, 54532, 50437, 52509, 72547, 52587, 51300, 56775, 51138, 57665, 50442, 51092, 54532, 50443, 51403, 53280, 50444, 51118, 53280, 53477, 53280, 51089, 53280, 50791, 78552, 51020, 53280, 50446, 56775, 51483, 52509, 51483, 51955, 51052, 50881, 50607, 53532, 53298, 51012, 50454, 56917, 60345, 52962, 77741, 56775, 51045, 52509, 51045, 60139, 51059, 57665, 50416, 60542, 50950, 53768, 50950, 50418, 56775, 52512, 52509, 52512, 51039, 50894, 51544, 52119, 52587, 52651, 51052, 55734, 52587, 51009, 57665, 51180, 50894, 51955, 51052, 50881, 50607, 52163, 52962, 77741, 52009, 52379, 53051, 51184, 50461, 51083, 50807, 72910, 51048, 52660, 51029, 57665, 50415, 51185, 50967, 50416, 51810, 51060, 50417, 52110, 51161, 51039, 57852, 64138, 51742, 50424, 51185, 51742, 72668, 51742, 51810, 51742, 50425, 55943, 51742, 51544, 52119, 51810, 52980, 52962, 79726, 52110, 52980, 51083, 52980, 52660, 56861, 51020, 52980, 51185, 52980, 50438, 52660, 52512, 56775, 51138, 52509, 51138, 57665, 50441, 51020, 53801, 50442, 51763, 53801, 51023, 53801, 50443, 51401, 53801, 51083, 53801, 51180, 69389, 56775, 51483, 52509, 51483, 51955, 51052, 50881, 50607, 53532, 53298, 51012, 50454, 56917, 60345, 52962, 57308, 52471, 51059, 50460, 52295, 50824, 52509, 51138, 50461, 56775, 51138, 61163, 51029, 57665, 50416, 53768, 51014, 50417, 60542, 51014, 50419, 52509, 58808, 56775, 52964, 72533, 56917, 51870, 53608, 50824, 52009, 50824, 53298, 51870, 51544, 52119, 52660, 55572, 51052, 79612, 51716, 50824, 50437, 52295, 53663, 52660, 51009, 57665, 51180, 75557, 52252, 51059, 52009, 51059, 51955, 51052, 50881, 50607, 52163, 52962, 50894, 72910, 50858, 51185, 51290, 55252, 51059, 52471, 51732, 51716, 50976, 57665, 50415, 51810, 78008, 53706, 51290, 51039, 50894, 50421, 52252, 51732, 50422, 51020, 50854, 52009, 54217, 50423, 51185, 51790, 50424, 51810, 61521, 53706, 51790, 51544, 57925, 51810, 66255, 55943, 52168, 55252, 52651, 51052, 79726, 64138, 52168, 50434, 77345, 52168, 51556, 63892, 52509, 52125, 55252, 51300, 56775, 52590, 52010, 50441, 51020, 52440, 51185, 52440, 50442, 51810, 52440, 50443, 53706, 52440, 51180, 69389, 52509, 51505, 50447, 56775, 51505, 51955, 51052, 50881, 50607, 53532, 53298, 51012, 50454, 56917, 60345, 52962, 77741, 52509, 51045, 50461, 56775, 51045, 52308, 50275, 51059, 57665, 50419, 60542, 52512, 53768, 52512, 51039, 50894, 51544, 52119, 52962, 79726, 55252, 72064, 52010, 50439, 55252, 51300, 51180, 50894, 51955, 51052, 50881, 50607, 52163, 52962, 73361, 51020, 50859, 52295, 51732, 52471, 51732, 50799, 51403, 51896, 52645, 51059, 57665, 50415, 51810, 50859, 50416, 53706, 77740, 76237, 51401, 54347, 51089, 51452, 50424, 51020, 65964, 50813, 51544, 57925, 51020, 51447, 50432, 51403, 51447, 52645, 52651, 51052, 79726, 51810, 50912, 53706, 51447, 50438, 52645, 51300, 56775, 50802, 52509, 52590, 52010, 50440, 51810, 56563, 50441, 57288, 56563, 50442, 64138, 56563, 50443, 77345, 56563, 51180, 57152, 56775, 51483, 52509, 51483, 51955, 51052, 50881, 50607, 58268, 53298, 51012, 50455, 56917, 60345, 52962, 73361, 52509, 51045, 69036, 51745, 56775, 51045, 57665, 50418, 53768, 51870, 50419, 60542, 51870, 51039, 50894 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 538, 6, 4246, 3459, 8669, 6, 13305, 6, 9590, 6, 8, 21072, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 5, 1619, 4780, 6, 19, 10, 33558, 26438, 1264, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51664, 51047, 51451, 50918, 51256, 51103, 51476, 51244, 51303, 51244, 51249, 51244, 50900, 61582, 64215, 50941, 50945, 51189, 60211, 52054, 64039, 51893, 50812, 52700, 64774, 61582, 64215, 50941, 53673, 50422, 51893, 50808, 52700, 71974, 61582, 64215, 50941, 56889, 51893, 50808, 52700, 50812, 51118, 50839, 79082, 50900, 61582, 64215, 65485, 55701, 50430, 51893, 50812, 52700, 60692, 61582, 64215, 50941, 53673, 50434, 51893, 50940, 52700, 50830, 50900, 61582, 64215, 58011, 64176, 50438, 51410, 51244, 51303, 51244, 51249, 51244, 50899, 61582, 64215, 50941, 51271, 51141, 55032, 50442, 52700, 50833, 55899, 50844, 50899, 61582, 64215, 50941, 53673, 50446, 52700, 50833, 55899, 50833, 55899, 61441, 61582, 64215, 50941, 57491, 51256, 50833, 51229, 50800, 51334, 50808, 52700, 50911, 55899, 50845, 51282, 50839, 79086, 50899, 61582, 64215, 65485, 55701, 50454, 51256, 50812, 51229, 50859, 51334, 64912, 61582, 64215, 50941, 53673, 50458, 51256, 50812, 51229, 50854, 51334, 50808, 52700, 50859, 55899, 63891, 61582, 64215, 58011, 64176, 76308, 51141, 51408, 51189, 51390, 51189, 52102, 51244, 51303, 51244, 51414, 51244, 51040, 61582, 64237, 50941, 52018, 51189, 52506, 60232, 51408, 50858, 51934, 50812, 51040, 61582, 64237, 50941, 53673, 50422, 51408, 50854, 51934, 80021, 61582, 64237, 50941, 56889, 51408, 50844, 51934, 50812, 51495, 71867, 50863, 51040, 61582, 64237, 65485, 53365, 50430, 51408, 50812, 51934, 50812, 51040, 61582, 64237, 50941, 53673, 50434, 51408, 50833, 51934, 50812, 51040, 61582, 64237, 58011, 64176, 50438, 51334, 51112, 51924, 51377, 51465, 51244, 51231, 51244, 51414, 51244, 51327, 51244, 50916, 64007, 64237, 64743, 50941, 54540, 51162, 55032, 50442, 50916, 64007, 64237, 64743, 50941, 53673, 50446, 50916, 64007, 64237, 64743, 50941, 57491, 50677, 50340, 50910, 51089, 71867, 50863, 50916, 64007, 64237, 64743, 50941, 51133, 59488, 53365, 50454, 50677, 50342, 50878, 50916, 64007, 64237, 64743, 50941, 51271, 51582, 72740, 50677, 50349, 51194, 50916, 64007, 64237, 64743, 50941, 51817, 52218, 58188, 50810, 50799, 51664, 51103, 51451, 51077, 51256, 51103, 51476, 51244, 51303, 51244, 51249, 51244, 50900, 61582, 64215, 50941, 51720, 51141, 52506, 60232, 50677, 50344, 51585, 50900, 61582, 64215, 50941, 53673, 63686, 61582, 64215, 50941, 56889, 51118, 50839, 79082, 50900, 61582, 64215, 65485, 53365, 78313, 61582, 64215, 50941, 53673, 69374, 61582, 64215, 58011, 64176, 50438, 51410, 51244, 51303, 51244, 51249, 51244, 50899, 61582, 64215, 50941, 51271, 51189, 55032, 50442, 50899, 61582, 64215, 50941, 53673, 64118, 61582, 64215, 50941, 57491, 51256, 50854, 51229, 50808, 51334, 50810, 51282, 50839, 79086, 50899, 61582, 64215, 65485, 53365, 50454, 51256, 50812, 51229, 50812, 51334, 64912, 61582, 64215, 50941, 53673, 50458, 51256, 50859, 51229, 50858, 51334, 50844, 50899, 61582, 64215, 58011, 58188, 50810, 50799, 51408, 50805, 51390, 50893, 51256, 51189, 51408, 51218, 51390, 51115, 52102, 51244, 51303, 51244, 51414, 51244, 51040, 61582, 64237, 50941, 52018, 51189, 52636, 64754, 51040, 61582, 64237, 50941, 72455, 51408, 50849, 51390, 51644, 50305, 61582, 64237, 50941, 56889, 51495, 71867, 50863, 51040, 61582, 64237, 65485, 55701, 50430, 51408, 50833, 51390, 50859, 51040, 61582, 64237, 50941, 52066, 50434, 51408, 51417, 51390, 51413, 51040, 61582, 64237, 58011, 65642, 50438, 51465, 51244, 51231, 51244, 51414, 51244, 51327, 51244, 50916, 64007, 64237, 64743, 50941, 54540, 51162, 52636, 63773, 50916, 64007, 64237, 64743, 50941, 51248, 58290, 62077, 50916, 64007, 64237, 64743, 50941, 51190, 58290, 52843, 51089, 71867, 50863, 50916, 64007, 64237, 64743, 50941, 51133, 55023, 51049, 72343, 59464, 50916, 64007, 64237, 64743, 50941, 51271, 50812, 51248, 55801, 63105, 50916, 64007, 64237, 64743, 50941, 51817, 53097, 50851, 51190, 55801, 50810, 50799, 63843, 51047, 51476, 51244, 51303, 51244, 51249, 51244, 50900, 61582, 64215, 50941, 51720, 51191, 60211, 52054, 64039, 50900, 61582, 64215, 50941, 53673, 63686, 61582, 64215, 50941, 56889, 51256, 51003, 51229, 51003, 51334, 50914, 51118, 50839, 79082, 50900, 61582, 64215, 65485, 55701, 78313, 61582, 64215, 50941, 53673, 69374, 61582, 64215, 50941, 51817, 52423, 64176, 50438, 54193, 51896, 51410, 51244, 51303, 51244, 51249, 51244, 50899, 61582, 64215, 50941, 51271, 51294, 55032, 50442, 50899, 61582, 64215, 50941, 53673, 64118, 61582, 64215, 50941, 57491, 51322, 50889, 51256, 50889, 51229, 51003, 51282, 50839, 79086, 50899, 61582, 64215, 65485, 55701, 50454, 50899, 61582, 64215, 50941, 53673, 50458, 50899, 61582, 64215, 50941, 51133, 53095, 64176, 79480, 51244, 51303, 51244, 51414, 51244, 51040, 61582, 64237, 50941, 51186, 51189, 52506, 60232, 51040, 61582, 64237, 50941, 53673, 50422, 51040, 61582, 64237, 50941, 56889, 51917, 51346, 51256, 51162, 51495, 71867, 50863, 51040, 61582, 64237, 65485, 53365, 50430, 52004, 50808, 54280, 50833, 51040, 61582, 64237, 50941, 53673, 50434, 52700, 50800, 54193, 50808, 51040, 61582, 64237, 58011, 64176, 50438, 54280, 50892, 60841, 50901, 51366, 50914, 51465, 51244, 51231, 51244, 51414, 51244, 51327, 51244, 50916, 64007, 64237, 64743, 50941, 51133, 51112, 55032, 50442, 50916, 64007, 64237, 64743, 50941, 53673, 50446, 52700, 50937, 54193, 67214, 64007, 64237, 64743, 50941, 57491, 51089, 71867, 50863, 50916, 64007, 64237, 64743, 50941, 51271, 63878, 53365, 50454, 50916, 64007, 64237, 64743, 50941, 53673, 50458, 54280, 58628, 64007, 64237, 64743, 50941, 51817, 53877, 58188, 50810, 50799, 63843, 51397, 51476, 51244, 51303, 51244, 51249, 51244, 50900, 61582, 64215, 50941, 51720, 50943, 55032, 79251, 61582, 64215, 50941, 53673, 63686, 61582, 64215, 50941, 56889, 51256, 50943, 51229, 50914, 51334, 51013, 51118, 50839, 79082, 50900, 61582, 64215, 65485, 55701, 78313, 61582, 64215, 50941, 51720, 52938, 76969, 54193, 50874, 50900, 61582, 64215, 50941, 51817, 53097, 64176, 50438, 54193, 51623, 51410, 51244, 51303, 51244, 51249, 51244, 50899, 61582, 64215, 50941, 51271, 50915, 55032, 50442, 50899, 61582, 64215, 50941, 53673, 64118, 61582, 64215, 50941, 57491, 51322, 50943, 51256, 50889, 51229, 50914, 51282, 50839, 79086, 50899, 61582, 64215, 65485, 55701, 50454, 50899, 61582, 64215, 50941, 51271, 51420, 72740, 50899, 61582, 64215, 50941, 51133, 53530, 64176, 79480, 51244, 51303, 51244, 51414, 51244, 51040, 61582, 64237, 50941, 51186, 51115, 55032, 50418, 51040, 61582, 64237, 50941, 53673, 50422, 51040, 61582, 64237, 50941, 56889, 51917, 51162, 51256, 51162, 51495, 71867, 50863, 51040, 61582, 64237, 65485, 55701, 50430, 52004, 50874, 54280, 77099, 61582, 64237, 50941, 53673, 50434, 52700, 50859, 54193, 77099, 61582, 64237, 58011, 64176, 50438, 54280, 50845, 60841, 50805, 51366, 50914, 51465, 51244, 51231, 51244, 51414, 51244, 51327, 51244, 50916, 64007, 64237, 64743, 50941, 51133, 51162, 55032, 50442, 50916, 64007, 64237, 64743, 50941, 53673, 50446, 52700, 50910, 54193, 50897, 50916, 64007, 64237, 64743, 50941, 57491, 51089, 71867, 50863, 50916, 64007, 64237, 64743, 50941, 51271, 50879, 50903, 55701, 50454, 50916, 64007, 64237, 64743, 50941, 53673, 50458, 54280, 72791, 64007, 64237, 64743, 50941, 51817, 53097, 64176, 50799, 54193, 51377, 51476, 51244, 51303, 51244, 51249, 51244 ]
[ 0, 250, 8787, 3495, 8, 5175, 15229, 6, 42, 15352, 30054, 2125, 22750, 1626, 11098, 8, 657, 6, 7630, 14805, 10, 25306, 619, 4, 2595, 10312, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 24, 1575, 10, 13305, 6, 6755, 12547, 6, 2342, 4467, 6, 21072, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 274, 3694, 6, 24, 22848, 10, 33215, 13931, 9, 274, 119, 6, 230, 6, 274, 119, 6, 163, 428, 406, 6, 8, 230, 10431, 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 ]
[ 57739, 50796, 50796, 51450, 52986, 51553, 54105, 51224, 56009, 54232, 50852, 66294, 50864, 54983, 66673, 53111, 51000, 52303, 51466, 52102, 53957, 51303, 51576, 51414, 51645, 51638, 52988, 51794, 68086, 51154, 54270, 51165, 60130, 51039, 50971, 51768, 54766, 54220, 50844, 52102, 50982, 51303, 50863, 51414, 50971, 52315, 68181, 51526, 54897, 50886, 53842, 52303, 52441, 51752, 50845, 55511, 52263, 50798, 53111, 51000, 52102, 54861, 52671, 51194, 50444, 50903, 52873, 50971, 51303, 50904, 51414, 71583, 52161, 51400, 50450, 50913, 56423, 50833, 52303, 50908, 51453, 51297, 54872, 56458, 52102, 51466, 51606, 51411, 55609, 51381, 51927, 50990, 50844, 52316, 52727, 51039, 50941, 51303, 51074, 51414, 51174, 50421, 51673, 51162, 51768, 54738, 56423, 50854, 52102, 65350, 51602, 54897, 53065, 51297, 54872, 52136, 52102, 60326, 51303, 51309, 52109, 51309, 51827, 51411, 56618, 51749, 50798, 53065, 57522, 60375, 50891, 52102, 54298, 51303, 51797, 51414, 52378, 51606, 77069, 50913, 56423, 50844, 54872, 51126, 51453, 51297, 54872, 51824, 52102, 51022, 55934, 51961, 50798, 53111, 50941, 55349, 51466, 52102, 53096, 51303, 51852, 51414, 51484, 52671, 51253, 53148, 52727, 51794, 55275, 51154, 51922, 51165, 51748, 51039, 54689, 50913, 63972, 51559, 50854, 52102, 51004, 51303, 50870, 51414, 50941, 52161, 53052, 51640, 54897, 54220, 51128, 55349, 55002, 51606, 51199, 50433, 52161, 51258, 55827, 77005, 53065, 51000, 52102, 55574, 50444, 77452, 50971, 51303, 51051, 51414, 51006, 52671, 68324, 66783, 50941, 51453, 51297, 52690, 52407, 52102, 51254, 51303, 51380, 51414, 50932, 52315, 51627, 50461, 51154, 51922, 51165, 51748, 51699, 52503, 51794, 53678, 53053, 66673, 53111, 51319, 51039, 51000, 52102, 54088, 51768, 52501, 55181, 50854, 52102, 51297, 51303, 50891, 51414, 75717, 51308, 50845, 50428, 53320, 51387, 50431, 52182, 57959, 51137, 50886, 51153, 56777, 53065, 51128, 52690, 52263, 50433, 54027, 56857, 53124, 53980, 51137, 51080, 51777, 77777, 53111, 50941, 52102, 53892, 50444, 51435, 51177, 69390, 50941, 51303, 51645, 52109, 60333, 51948, 51100, 63985, 50941, 52102, 54088, 51414, 55346, 51837, 67011, 50813, 52690, 51000, 54309, 51381, 52929, 51790, 76403, 52470, 53248, 54211, 51687, 52048, 51719, 51484, 51414, 52188, 51165, 52727, 51794, 53678, 52143, 53678, 51491, 51449, 51039, 50863, 51768, 50855, 51718, 51102, 50941, 51687, 50941, 51719, 50971, 51414, 53998, 51338, 56935, 50864, 53842, 53248, 52256, 54683, 66673, 53065, 51128, 52102, 55584, 50444, 53629, 51312, 69390, 50864, 51719, 51753, 51414, 68324, 66783, 50886, 53248, 53726, 52102, 50984, 50454, 52929, 71834, 51338, 56975, 51126, 51476, 52256, 50461, 51299, 64880, 52894, 51381, 53629, 55601, 79693, 50857, 53075, 51333, 51113, 64880, 51887, 52988, 51426, 63309, 50417, 52709, 50912, 50419, 53629, 50971, 65945, 51687, 52482, 51303, 51884, 51249, 51884, 50421, 52929, 60039, 53629, 51749, 51768, 54766, 55181, 50833, 51476, 55487, 51132, 54897, 53065, 51000, 53075, 52519, 51687, 51961, 57097, 51878, 50798, 53111, 60226, 52929, 60433, 51437, 50864, 51249, 51481, 51327, 51884, 50450, 52929, 50933, 66783, 50864, 51687, 51123, 50452, 51837, 60754, 52461, 75404, 51948, 55370, 50852, 50813, 53075, 52518, 50461, 51165, 58468, 52602, 57912, 51794, 58468, 51154, 70316, 51638, 63510, 55556, 78813, 55033, 50978, 55285, 52011, 52102, 54521, 51303, 52034, 51414, 52188, 51039, 50941, 51768, 51559, 58682, 50864, 52102, 51297, 51303, 50971, 51414, 54854, 51727, 54220, 58597, 50862, 55285, 52256, 57124, 51381, 60375, 50904, 52102, 53096, 50443, 51794, 50941, 51154, 50864, 51165, 50864, 52602, 50971, 51638, 51000, 52129, 55476, 50933, 51303, 51166, 51414, 73380, 51895, 51102, 50864, 55285, 51851, 50455, 52481, 51108, 51794, 52056, 51088, 51108, 51165, 52256, 50456, 51533, 51242, 52855, 51225, 50933, 56139, 51079, 52102, 51210, 51231, 50933, 51414, 50933, 53028, 51128, 50416, 53519, 50886, 54513, 64685, 52709, 76157, 51794, 54819, 53629, 50974, 51553, 53618, 53065, 51000, 52102, 52134, 50424, 52929, 66118, 52481, 52916, 51794, 64971, 51088, 52916, 51165, 60237, 50426, 51533, 51803, 50913, 54880, 53111, 51000, 56139, 52407, 52102, 52136, 51231, 51637, 51414, 51637, 50427, 51948, 57050, 52381, 50827, 51361, 71598, 51435, 57039, 52381, 50822, 51450, 54220, 51126, 50439, 51948, 69859, 52929, 50822, 52129, 50857, 52352, 53120, 66880, 53629, 57904, 52709, 54004, 53629, 51589, 66832, 50904, 56139, 51365, 52102, 50907, 51231, 50851, 52109, 51210, 50454, 52709, 55162, 51132, 51006, 53629, 63900, 50376, 53221, 53111, 58182, 52929, 50971, 55556, 51381, 51948, 51199, 50798, 56192, 50827, 55285, 53838, 51303, 51142, 51414, 51576, 52109, 50932, 50415, 51794, 56308, 51165, 53801, 50416, 51638, 53801, 52602, 56308, 51154, 51703, 51039, 51000, 51768, 51559, 58682, 50941, 52303, 50928, 52102, 50971, 51414, 53998, 51727, 54438, 51559, 51128, 52303, 51126, 57124, 51381, 60375, 50941, 55285, 53838, 50443, 72443, 51794, 51252, 74321, 52129, 56768, 50827, 52102, 50971, 51303, 50904, 51414, 50912, 52602, 51365, 51638, 51123, 52320, 54695, 50941, 52303, 54616, 51533, 51006, 52855, 51225, 50827, 56139, 50984, 52102, 50984, 51231, 50851, 51414, 50827, 51165, 51524, 52481, 51142, 51794, 52179, 74672, 53028, 62910, 51553, 51539, 50941, 52102, 51851, 51794, 58782, 51533, 51803, 58802, 51044, 59795, 50886, 56139, 52980, 52102, 53486, 51231, 51680, 51414, 51680, 52481, 53486, 51794, 63160, 51088, 52783, 51165, 54829, 51361, 50941, 51570, 54394, 51224, 50857, 51899, 53650, 63609, 54983, 56203, 57516, 50933, 52303, 53674, 52102, 51797, 51039, 57051, 53628, 50924, 52029, 51586, 55962, 50971, 52102, 51123, 51303, 51797, 51414, 51709, 50431, 52394, 56632, 51526, 54438, 54220, 51128, 52303, 52618, 52102, 53726, 50437, 53580, 50937, 55511, 77005, 59231, 50444, 52608, 59156, 51297, 52102, 52482, 51303, 51108, 51414, 51637, 51955, 60359, 55828, 56914, 50827, 52303, 55778, 50455, 51978, 51158, 51453, 78737, 50864, 52102, 51365, 54983, 56203, 55316, 50971, 52303, 53957, 52102, 51852, 50419, 52380, 51112, 51039, 50368, 51586, 50864, 51544, 55980, 51000, 52102, 51252, 51303, 51166, 51249, 51481, 51414, 54228, 50432, 52436, 51221, 51526, 54438, 54220, 51126, 52303, 56123, 52102, 54836, 55511, 51749, 50798, 53065, 57522, 51978, 51191, 53510, 51657, 50864, 52102, 53892, 51303, 51333, 51249, 51108, 51414, 55812, 51955, 50867, 68725, 55962, 51000, 52303, 51737, 51453, 78737, 50827, 52102, 51862, 50461, 53580, 51056, 54983, 78813, 55316, 51126, 52303, 52011, 52102, 52460, 51039, 69645, 52608, 60086, 73375, 55828, 50941, 52102, 51269, 51303, 51079, 51651, 51432, 51414, 52482, 50431, 51978, 67772, 51526, 54438, 54220, 51126, 52303, 61887, 52102, 51166, 55511, 79544, 53065, 68937, 53580, 51100, 51180, 50971, 52102, 52518, 51303, 51466, 51651, 52011, 51414, 53674, 51955, 50867, 60163, 56009, 50864, 52303, 51432, 50456, 53628, 51359, 50791, 50366, 51613, 50822, 52102, 52179, 54293, 71732, 55316, 50971, 56139, 51961, 52102, 52034, 51039, 79912, 53272, 63985, 50941, 52102, 51269, 51303, 51753, 51231, 51884, 51414, 67995, 51533, 52923, 54220, 51126, 56139, 51466, 52102, 52482, 55545, 51749, 50798, 53065, 51297, 51180, 51126, 52102, 51365, 51303, 52056, 51231, 51333, 51414, 54211 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 3152, 37903, 28548, 19, 32076, 1007, 6, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 8, 30587, 8669, 34879, 6, 23396, 30, 10, 1428, 12989, 2810, 9, 21072, 8, 3459, 9590, 6, 70, 11, 5, 762, 9, 230, 538, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 63515, 52288, 50918, 51155, 51307, 51046, 51307, 51075, 51307, 52105, 51544, 50839, 51570, 52725, 51931, 50799, 52164, 55280, 50796, 50444, 51205, 50893, 51778, 50936, 52484, 57353, 53083, 64584, 54612, 51767, 57353, 52881, 70195, 51885, 50806, 52971, 57353, 50846, 52288, 51173, 51046, 51337, 51155, 51121, 51200, 51194, 51409, 71939, 50818, 50796, 50444, 51205, 50893, 51778, 50936, 52484, 57353, 53068, 64584, 54612, 51767, 57353, 53268, 70195, 51885, 50806, 52971, 57353, 50841, 52288, 51173, 51046, 51337, 51155, 51121, 51200, 51194, 51409, 71939, 50818, 50796, 50444, 51205, 50893, 51778, 50936, 52484, 57353, 53035, 64584, 54612, 51767, 57353, 52738, 70195, 51885, 50806, 52971, 57353, 50828, 52288, 51173, 51046, 51337, 51155, 51121, 51200, 51194, 51409, 71939, 50818, 52591, 62043, 56315, 54292, 51456, 56650, 51224, 52210, 51326, 54255, 51289, 50841, 51899, 54363, 50816, 52881, 50816, 50846, 53206, 50818, 52534, 51362, 51118, 51091, 51089, 51241, 50885, 51226, 50868, 51541, 51063, 51134, 51143, 51351, 51211, 51391, 58075, 73926, 58487, 51020, 51109, 51092, 51109, 50847, 51566, 50909, 51566, 52399, 50829, 51694, 52141, 61227, 52953, 50964, 51364, 51092, 51221, 51020, 51116, 50909, 51235, 50847, 51160, 51063, 51452, 51143, 51307, 51211, 51452, 50843, 57107, 51089, 51178, 51118, 51178, 50868, 51167, 50885, 51167, 51658, 52141, 61227, 53162, 51118, 50851, 74522, 57212, 50868, 53877, 52141, 57028, 51020, 77449, 50864, 50847, 57511, 52800, 65340, 51092, 51255, 51020, 51203, 50909, 51427, 50847, 72880, 52141, 61227, 57136, 51089, 50977, 51118, 50937, 50868, 79854, 58603, 51019, 59964, 50829, 67896, 51294, 51118, 51191, 51061, 51191, 50885, 51362, 50872, 51541, 51222, 51241, 51344, 51134, 58075, 61227, 56075, 51023, 51204, 51092, 51204, 50850, 51541, 50909, 51573, 52399, 50829, 51694, 52141, 61227, 52953, 52936, 51016, 51092, 51116, 51023, 51116, 80142, 50850, 51238, 51222, 51047, 51143, 51127, 51344, 51047, 50843, 57107, 51061, 51159, 51118, 51159, 50872, 51073, 50885, 51290, 51658, 52141, 61227, 53162, 55917, 51118, 64777, 50844, 51061, 50827, 59398, 50872, 54436, 52141, 57028, 51092, 50886, 56955, 50909, 54086, 52936, 51016, 51092, 50901, 51023, 57093, 60787, 53757, 52141, 61227, 57136, 51061, 50977, 51118, 50937, 50872, 79854, 50948, 58201, 50829, 52534, 51362, 51118, 51091, 51089, 51241, 50885, 51226, 50868, 51541, 51063, 51134, 51143, 51351, 51211, 51391, 58075, 61227, 56075, 51020, 51109, 51092, 51109, 50847, 51566, 50909, 51566, 52399, 50829, 51694, 52141, 61227, 52953, 50964, 51364, 51092, 51221, 51020, 51116, 50909, 51235, 50847, 51160, 51063, 51452, 51143, 51307, 51211, 51452, 50843, 57107, 51089, 51178, 51118, 51178, 50868, 51167, 50885, 51167, 51658, 52141, 61227, 53162, 51118, 50851, 74522, 57212, 50868, 53877, 52141, 57028, 51020, 77449, 50864, 50847, 57511, 52800, 65340, 51092, 51255, 51020, 51203, 50909, 51427, 50847, 72880, 52141, 61227, 57136, 51089, 50977, 51118, 50937, 50868, 79854, 58603, 51019, 59964, 50829, 67896, 51294, 51118, 51191, 51061, 51191, 50885, 51362, 50872, 51541, 51222, 51241, 51344, 51134, 58075, 61227, 56075, 51023, 51204, 51092, 51204, 50850, 51541, 50909, 51573, 52399, 50829, 51694, 52141, 61227, 52953, 52936, 51016, 51092, 51116, 51023, 51116, 80142, 50850, 51238, 51222, 51047, 51143, 51127, 51344, 51047, 50843, 57107, 51061, 51159, 51118, 51159, 50872, 51073, 50885, 51290, 51658, 52141, 61227, 53162, 55917, 51118, 64777, 50844, 51061, 50827, 59398, 50872, 54436, 52141, 57028, 51092, 50886, 56955, 50909, 54086, 52936, 51016, 51092, 50901, 51023, 57093, 60787, 53757, 52141, 61227, 57136, 51061, 50977, 51118, 50937, 50872, 79854, 50948, 58201, 50829, 53596, 51362, 51557, 51091, 51083, 51241, 51037, 51226, 50848, 51541, 51222, 51134, 51348, 51351, 51344, 51391, 58075, 61227, 73926, 54925, 51061, 51109, 51193, 51109, 50872, 51566, 50939, 51566, 52399, 50829, 51694, 52141, 61227, 52953, 51096, 51362, 51193, 51221, 51061, 51116, 50939, 51235, 50872, 51160, 51222, 51452, 51348, 51591, 51344, 51452, 50843, 57107, 51083, 51178, 51557, 51178, 50848, 51167, 51037, 51167, 51658, 52141, 61227, 53162, 51557, 50851, 72154, 68689, 50848, 53877, 52141, 57028, 51061, 74092, 50864, 50872, 58265, 52800, 51096, 51238, 51193, 51255, 51061, 51203, 50939, 51427, 50872, 72880, 52141, 61227, 57136, 51083, 50977, 51557, 50937, 50848, 50948, 51037, 58603, 50964, 59964, 50829, 67896, 51226, 51118, 51191, 51061, 51191, 50885, 51362, 50872, 51541, 51222, 51241, 51344, 51134, 58075, 61227, 56075, 51023, 51204, 51092, 51204, 50850, 51541, 50909, 51573, 52399, 50829, 51694, 52141, 61227, 52953, 52936, 51364, 51092, 51116, 51023, 51116, 80142, 50850, 51238, 51222, 51047, 51143, 51127, 51344, 51047, 50843, 57107, 51061, 51159, 51118, 51159, 50872, 51073, 50885, 51290, 51658, 52141, 61227, 53162, 51118, 64777, 50844, 51061, 50827, 59398, 50872, 54436, 52141, 57028, 51092, 50886, 56955, 50909, 54086, 51443, 50879, 51092, 50901, 51023, 57093, 60787, 53757, 52141, 61227, 57136, 51061, 50977, 51118, 50937, 50872, 79854, 59465, 51069, 59964, 50829, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 11, 12608, 538, 6, 4246, 21979, 8669, 6, 24896, 6, 13305, 6, 9590, 6, 8, 21072, 4, 590, 10, 20889, 9, 5962, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 41, 17627, 17274, 8859, 14, 7630, 6568, 6453, 9, 657, 8, 26545, 4, 20, 1049, 33215, 16739, 6, 12608, 6, 2060, 6, 12608, 6, 8, 163, 428, 406, 6, 3639, 7, 5, 2214, 18, 3279, 8, 13869, 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 ]
[ 54458, 60859, 52950, 50903, 50839, 60859, 50825, 51768, 52950, 50903, 50825, 51955, 64937, 51072, 50979, 51072, 50458, 50986, 61017, 56451, 51310, 61670, 50829, 51476, 51449, 51687, 51449, 51651, 51449, 55518, 51466, 50979, 50914, 68456, 51768, 51539, 79710, 51159, 50909, 51073, 51751, 51961, 50979, 51244, 51396, 52528, 55703, 58930, 51522, 51218, 61670, 50829, 51332, 53161, 50979, 50914, 50935, 51013, 50446, 50885, 51381, 51955, 51539, 50820, 51751, 51330, 50979, 50914, 68456, 55779, 75497, 51317, 52528, 65331, 51310, 61670, 60518, 50983, 51125, 51343, 52540, 51490, 50970, 58468, 53928, 53678, 50415, 51169, 63160, 50417, 51316, 70316, 51768, 51539, 50820, 51164, 51330, 51396, 52011, 51017, 51108, 50427, 54872, 64809, 50872, 51178, 51125, 51095, 55703, 58930, 52318, 50981, 61670, 50829, 51651, 51097, 52540, 51333, 51396, 50932, 51017, 77563, 54872, 51806, 51303, 51199, 52102, 51709, 50440, 50872, 51346, 50992, 73079, 52318, 63184, 51539, 50820, 51465, 51108, 51651, 51108, 51414, 51108, 52109, 51108, 52540, 51466, 51017, 51333, 51317, 52188, 50451, 51017, 51109, 50939, 51056, 50452, 50998, 51737, 51169, 55811, 55779, 51306, 56451, 51413, 61670, 50829, 55518, 51466, 50986, 52431, 50415, 51017, 60023, 50805, 50416, 52064, 56458, 50420, 50979, 52731, 50909, 51824, 50422, 51476, 55408, 50425, 50979, 52783, 50939, 52015, 51768, 51539, 50820, 51687, 55408, 51751, 51961, 50979, 51244, 51396, 51748, 50427, 51136, 50901, 55703, 51306, 51651, 55392, 50438, 51560, 51448, 61670, 50829, 51327, 55392, 51332, 53161, 51032, 51047, 50439, 54313, 51806, 50446, 50885, 51283, 51169, 51852, 51955, 51539, 50820, 51751, 51961, 50451, 50986, 52335, 53992, 51806, 55779, 51306, 50885, 51991, 50992, 52392, 50459, 51136, 55086, 56451, 51127, 57936, 50829, 55518, 54557, 50979, 51445, 59541, 51445, 51768, 51539, 50839, 51751, 52378, 55703, 51004, 51396, 54829, 57280, 51277, 57936, 50829, 51332, 51884, 50446, 50885, 51961, 50450, 51140, 51121, 64892, 50839, 51751, 70940, 50979, 50860, 50909, 50802, 55779, 51004, 55970, 51417, 61670, 50829, 51231, 52337, 50979, 55534, 52303, 53142, 51687, 53233, 52102, 54249, 50847, 51072, 50939, 51072, 50418, 51751, 52397, 50422, 51317, 51803, 51768, 51539, 50820, 51037, 52312, 50305, 51283, 50847, 52222, 65530, 51290, 50939, 51454, 50970, 51103, 55703, 78592, 50929, 54228, 68958, 51183, 61670, 50829, 51751, 51466, 50439, 50847, 51054, 64361, 50446, 51037, 52783, 51955, 51539, 55223, 50988, 52059, 50979, 51072, 50909, 51072, 51169, 53726, 50452, 50970, 60326, 51317, 53726, 55779, 51306, 50460, 51317, 51258, 55970, 51145, 61670, 50829, 51751, 51333, 50979, 51671, 50929, 52783, 50970, 53801, 52994, 52140, 50415, 69430, 51125, 51013, 51768, 51539, 50820, 50988, 51309, 50427, 52303, 52168, 50428, 50939, 51480, 51125, 51025, 55703, 51306, 51037, 54211, 68958, 51134, 61670, 50829, 51751, 51738, 51317, 51749, 50439, 50979, 51380, 50909, 51109, 50440, 52102, 51749, 50446, 51017, 51381, 50447, 50929, 54344, 51955, 51539, 50820, 50988, 51423, 51549, 51309, 53928, 55574, 50451, 51687, 51199, 50979, 51312, 50935, 51056, 55779, 51306, 56451, 51115, 61670, 50829, 55518, 52212, 50415, 50979, 53898, 50909, 56769, 52064, 53055, 50425, 51327, 58728, 51768, 51539, 50820, 51751, 51333, 51396, 52783, 50979, 58643, 55703, 51306, 51549, 61385, 51067, 53891, 51930, 51397, 61670, 50829, 51332, 51637, 51316, 70639, 51032, 51432, 52994, 54836, 50445, 51064, 51258, 50446, 51687, 53753, 50885, 51542, 51064, 65261, 50929, 50863, 51955, 51539, 50820, 51751, 52256, 50929, 51101, 52249, 51267, 55779, 51306, 51064, 50878, 56451, 51183, 57936, 50829, 51396, 51679, 55518, 54532, 52994, 52140, 50415, 51476, 51671, 51169, 51318, 51768, 51539, 50839, 51751, 52996, 55703, 51004, 51396, 52980, 51246, 56360, 51930, 51562, 57936, 50829, 51332, 53957, 50986, 51242, 50446, 50885, 51419, 51136, 50878, 51955, 66073, 51751, 51172, 50885, 63394, 50824, 50970, 51642, 54313, 50915, 55779, 60078, 51136, 51212, 56451, 51310, 61670, 65641, 51157, 50909, 51073, 55518, 51627, 50415, 51169, 61124, 52994, 51671, 50425, 51327, 52528, 51768, 51539, 50820, 51751, 51806, 50979, 51072, 50909, 51072, 51396, 52407, 50885, 52431, 50979, 52528, 55703, 78592, 50929, 52611, 50436, 51078, 52231, 50438, 51522, 51218, 61670, 50829, 52021, 51470, 50979, 51237, 64191, 50986, 51121, 50446, 51687, 51391, 51332, 51254, 51136, 51025, 51955, 51539, 50820, 51751, 51142, 51169, 50901, 50451, 50979, 51072, 50909, 51072, 55779, 51306, 51396, 51051, 50460, 52130, 52231, 65331, 51310, 61670, 50829, 54872, 51314, 52102, 51314, 51303, 51314, 52540, 52212, 51017, 51314, 51246, 50949, 52249, 51748, 76750, 51016, 51125, 51054, 51311, 50961, 50986, 72083, 51317, 51091, 50422, 50970, 51566, 51768, 51539, 50820, 51164, 51108, 51169, 51354, 50427, 50872, 51735, 51125, 64414, 50986, 51129, 55703, 58930, 52318, 50981, 61670, 50829, 52540, 51333, 51396, 50932, 51017, 50932, 51064, 51379, 50439, 50872, 51048, 50992, 51290, 50446, 51169, 68466, 51169, 66893, 52318, 63184, 51539, 50820, 51465, 51108, 51017, 51157, 50939, 51290, 52540, 51466, 51017, 51333, 50451, 50970, 51101, 55779, 75497, 51169, 51832, 56451, 51115, 61670, 50829, 51476, 54249, 51687, 54249, 51651, 54249, 51017, 50967, 50939, 51167, 55518, 52783, 50415, 50998, 52063, 52994, 54557, 50422, 50992, 55586, 50909, 52980, 51768, 51539, 50820, 51751, 52034, 51396, 51592, 50979, 55482, 55703, 51306, 51246, 51014, 50437, 51311, 52600, 51930, 51397, 61670, 50829, 51332, 51387, 52064, 54836, 50439, 50986, 51328, 50446, 50885, 51108, 51136, 52256, 51955, 51539, 50820, 51751, 51172, 51246, 50820, 52813, 51297, 50451, 51311, 58759, 52064, 52462, 50454, 51246, 52482, 50455, 52813, 57826, 55779, 51306, 50885, 52015, 50992, 51452, 56451, 51183, 57936, 50829, 51396, 51381, 55518, 52598, 51846, 51047, 54313, 52727, 51768, 51539, 50839, 51751, 52056, 50427, 51476, 51677, 55703, 51004, 51396, 52980, 50437, 51651, 51447, 50438, 51930, 51562, 57936, 50829, 51332, 53010, 50986, 51241, 50446, 50885, 53674, 51136, 51110, 51955, 66073, 51751, 50974, 51169, 50937, 50451, 51327, 51806, 50979, 50896, 50909, 51054, 50455, 50929, 50870, 55779, 51004, 55970, 51115, 61670, 50829, 51231, 52337, 51751, 52519, 50979, 52528, 52064, 51148, 50415, 52303, 53142, 51687, 53233, 52102, 54249, 50847, 51073, 50939, 51566, 50423, 51136, 51803, 51768, 51539, 50820, 51037, 52256, 50929, 52168, 65530, 51566, 50939, 51735, 55703, 78592, 51549, 51381, 68958, 51397, 61670, 50829, 51751, 53577, 50439, 50847, 51072, 50939, 51072, 50440, 53928, 63806, 50446, 51017, 51542, 51955, 51539, 79710, 51072, 50909, 51072, 51037, 51961, 50451, 51136, 51806, 53928, 55778, 55779, 51306, 52994, 55177, 55970, 51183, 61670, 64203, 51218, 51125, 50983, 51751, 52598, 50979, 51447, 51136, 52212, 51064, 54829, 50423, 52994, 68303, 51768, 51539, 50820, 51037, 52378, 50427, 52303, 52168, 50433, 50939, 51286, 51125, 51505, 55703, 51306, 51017, 54498, 51261, 51562, 61670, 50829, 50988, 51806, 51136, 51191, 50440, 52102, 51749, 50441, 50979, 51112, 50909, 50980, 50446, 50979, 51679, 50929, 53726, 52813, 59170, 51955, 51539, 50820, 77760, 51064, 51254, 50451, 51687, 51199, 50452, 50847, 50940, 50939, 62620, 66944, 57742, 55779, 75497, 58876 ]
[ 0, 250, 8787, 3152, 15229, 5378, 16364, 19, 1007, 6, 42, 2125, 16, 17407, 30, 63, 30587, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 8, 21072, 6, 19, 8669, 21040, 2857, 1271, 5581, 7, 5, 2369, 4, 8504, 11, 211, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 5830, 10, 13363, 28191, 11739, 9, 34879, 8, 2933, 6, 9066, 3423, 14, 35334, 10, 1472, 9, 814, 1328, 63, 3112, 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 ]
[ 69827, 50798, 62310, 50803, 54224, 51352, 56083, 51352, 51296, 54024, 52723, 56766, 53932, 52531, 63467, 50803, 51296, 52801, 52531, 56766, 50833, 52389, 62310, 56234, 50812, 51296, 53300, 52723, 56766, 51628, 50798, 62310, 50950, 51296, 52674, 50798, 56327, 50833, 51450, 62310, 50882, 51296, 53609, 50798, 56327, 50858, 63662, 52129, 78833, 50858, 51296, 52911, 50798, 56327, 50858, 63662, 51034, 52531, 63467, 50803, 54770, 51795, 56413, 51352, 51296, 54024, 50798, 56327, 55446, 52531, 63467, 50803, 51296, 52801, 52531, 56766, 51620, 52531, 63467, 50803, 51296, 53300, 52531, 56766, 51628, 52531, 55801, 50950, 51296, 52674, 50798, 56327, 50858, 51450, 62310, 50950, 51296, 53609, 52615, 56766, 50800, 63662, 52129, 52965, 50574, 50858, 51296, 52911, 50798, 56327, 50800, 63662, 51034, 52531, 55801, 50950, 54224, 51352, 56083, 53174, 56610, 50417, 52531, 56766, 51835, 52531, 63467, 50882, 51296, 52801, 52531, 56766, 51620, 52531, 63467, 50858, 51296, 53300, 52723, 56766, 50812, 51974, 62310, 50803, 51296, 52674, 52531, 56766, 50882, 51450, 62310, 50858, 51296, 53609, 50798, 56327, 50882, 63662, 52129, 54262, 50574, 50858, 51296, 52911, 50798, 56327, 50882, 63662, 51034, 52531, 55801, 50882, 53749, 51352, 56083, 53174, 51296, 54024, 50798, 56327, 52244, 50798, 62310, 50882, 51296, 52801, 50798, 56327, 50950, 52389, 62310, 50858, 51296, 53300, 52531, 56766, 50882, 51974, 78825, 50882, 51296, 52674, 50798, 56327, 50950, 51450, 62310, 50803, 51296, 53609, 50798, 56327, 50882, 63662, 52129, 62310, 50882, 51296, 52911, 50798, 56327, 50803, 51296, 50882, 51034, 50635, 50798, 62310, 59177, 50802, 54224, 51352, 58599, 51352, 51296, 54024, 52723, 56766, 53932, 52531, 63467, 50803, 51296, 52801, 52531, 56766, 50833, 52389, 62310, 56234, 50812, 51296, 53300, 52723, 56766, 51628, 50798, 62310, 50950, 51296, 52674, 50798, 56327, 50833, 51450, 62310, 50882, 51296, 53609, 50798, 56327, 50858, 63662, 52129, 78833, 50858, 51296, 52911, 50798, 56327, 50858, 63662, 51034, 52531, 63467, 50803, 51632, 59828, 57920, 51795, 60382, 51352, 51296, 54024, 50798, 56327, 55446, 52531, 63467, 50803, 51296, 52801, 52531, 56766, 51620, 52531, 63467, 50803, 51296, 53300, 52531, 56766, 51628, 52531, 55801, 50950, 51296, 52674, 50798, 56327, 50858, 51450, 62310, 50950, 51296, 53609, 52615, 56766, 50800, 63662, 52129, 52965, 50574, 50858, 51296, 52911, 50798, 56327, 50800, 63662, 51034, 52531, 55801, 50950, 51598, 50907, 54224, 51352, 58599, 51352, 56610, 50417, 52531, 56766, 51835, 52531, 63467, 50882, 51296, 52801, 52531, 56766, 51620, 52531, 63467, 50858, 51296, 53300, 52723, 56766, 50812, 51974, 62310, 50803, 51296, 52674, 52531, 56766, 50882, 51450, 62310, 50858, 51296, 53609, 50798, 56327, 50882, 63662, 52129, 54262, 50574, 50858, 51296, 52911, 50798, 56327, 50882, 63662, 51034, 52531, 55801, 50882, 56413, 51352, 57558, 51352, 51296, 54024, 50798, 56327, 52244, 50798, 62310, 50882, 51296, 52801, 50798, 56327, 50950, 52389, 62310, 50858, 51296, 53300, 52531, 56766, 50882, 51974, 78825, 50882, 51296, 52674, 50798, 56327, 50950, 51450, 62310, 50803, 51296, 53609, 50798, 56327, 50882, 63662, 52129, 62310, 50882, 51296, 52911, 50798, 56327, 50803, 51296, 50882, 62817, 51779, 52965, 50588, 50803, 51875, 50803, 51296, 54024, 50798, 55446, 52531, 51002, 50803, 51875, 50803, 51296, 52801, 65664, 52389, 51779, 50803, 51875, 50802, 51296, 53300, 50798, 50882, 51974, 51779, 50803, 51875, 50802, 51296, 52674, 57221, 51450, 51779, 50803, 51875, 50803, 51296, 53609, 68153, 50803, 51875, 50803, 63662, 52129, 56701, 50803, 51875, 50950, 51296, 52911, 68153, 50803, 51875, 51653, 63662, 51034, 52531, 51002, 50882, 51296, 54024, 50798, 52244, 52531, 51002, 50803, 51875, 50882, 51296, 52801, 65664, 52389, 56701, 50803, 51875, 50803, 51296, 53300, 65664, 51974, 56701, 50803, 51875, 50803, 51296, 52674, 57221, 51450, 51779, 50803, 51875, 50803, 51296, 53609, 52615, 51002, 50803, 51875, 50803, 63662, 52129, 54092, 50803, 51875, 50803, 51296, 52911, 68153, 50803, 51875, 50803, 63662, 51034, 52531, 51002, 50882, 51875, 50802, 56610, 50417, 50798, 58609, 52531, 51002, 50803, 51875, 50803, 51296, 52801, 65664, 52389, 56701, 50803, 51875, 50803, 51296, 53300, 50798, 50882, 51974, 51779, 50803, 51875, 50803, 51296, 52674, 65664, 51450, 51779, 50803, 51875, 50803, 51296, 53609, 68153, 50803, 51875, 50803, 63662, 52129, 56701, 50803, 51875, 50803, 51296, 52911, 68153, 50803, 51875, 50803, 63662, 51034, 52531, 51002, 50882, 51875, 50802, 51296, 54024, 50798, 52244, 68153, 50803, 51875, 50803, 51296, 52801, 50798, 51973, 68153, 50803, 51875, 50803, 51296, 53300, 65664, 51974, 54092, 50803, 51875, 50803, 51296, 52674, 57221, 51450, 51779, 50803, 51875, 50803, 51296, 53609, 68153, 50803, 51875, 50803, 63662, 52129, 51779, 50803, 51875, 50803, 51296, 52911, 68153, 50803, 51875, 50950, 51296, 50882, 51034, 50635, 50798, 51858, 51779, 50893, 51335, 50802, 52237, 50802, 63529, 51278, 56778, 50798, 55446, 79334, 50803, 52237, 50911, 51611, 51012, 51278, 73131, 65664, 52389, 51858, 68437, 52669, 51012, 51885, 50803, 51063, 53300, 50798, 50882, 51974, 61901, 77161, 66716, 51063, 54241, 57221, 51450, 51858, 68437, 51860, 50803, 58147, 51348, 56119, 57221, 52129, 58052, 50803, 51860, 50849, 58147, 51348, 55373, 57221, 51034, 79334, 68437, 52669, 50803, 66716, 56668, 50417, 50798, 52244, 79334, 73611, 50802, 66716, 51063, 54433, 65664, 52389, 58052, 68437, 51860, 50803, 58147, 51348, 55396, 65664, 51974, 58052, 50803, 51860, 51012, 58147, 51348, 54241, 57221, 51450, 51858, 68437, 51598, 50803, 56134, 51548, 53609, 50798, 50858, 52129, 54984, 50950, 71790, 56668, 51548, 55373, 57221, 51034, 79334, 68437, 51860, 50803, 63527, 51348, 54024, 50798, 58609, 79334, 50882, 67535, 51278, 51012, 51348, 73131, 65664, 52389, 58052, 68437, 51598, 50803, 56134, 51548, 53300, 50798, 50882, 51974, 61901, 71790, 56668, 51548, 54241, 65664, 51450, 51858, 68437, 52576, 50803, 61704, 51219, 56119, 57221, 52129, 58052, 50950, 52576, 50802, 51348, 50911, 51219, 50911, 56953, 50803, 51034, 79334, 68437, 51598, 50803, 56134, 51548, 54024, 50798, 52244, 50798, 51858, 50950, 71790, 56668, 51548, 54433, 50798, 51973, 50798, 51858, 68437, 52576, 50802, 51348, 50803, 51219, 53300, 65664, 51974, 54984, 50882, 52576, 50802, 51348, 50803, 51219, 52674, 57221, 51450, 51858, 68437, 55213, 50803, 51548, 61020, 53609, 57221, 52129, 61901, 55213, 50802, 62648, 51211, 55373, 57221, 62817, 51858, 56701, 50802, 52576, 50802, 51348, 50803, 51219, 54024, 50798, 55446, 79334, 50950, 52576, 50802, 61704, 51219, 54433, 65664, 52389, 51858, 68437, 55213, 50803, 51548, 61020, 53300, 50798, 50882, 51974, 61901, 55213, 50803, 62648, 51211, 54241, 57221, 51450, 51858, 51779, 51012, 53621, 50802, 59838, 51843, 56119, 57221, 52129, 58052, 50950, 53621, 51012, 59838, 51843, 55373, 57221, 51034, 79334, 68437, 55213, 50803, 51548, 61020, 54024, 50798, 52244, 79334, 50950, 55213, 50802, 62648, 51211, 54433, 65664, 52389, 58052, 68437, 53621, 50803, 59838, 51843, 55396, 65664, 51974, 58052, 50950, 53621, 50802, 59838, 51843, 54241, 57221, 51450, 51858, 68437, 53973, 61020, 50803, 52529, 53609, 50798, 50858, 52129, 54984, 50882, 53973, 50802, 59166, 52529, 55373, 57221 ]
[ 0, 250, 15352, 30054, 3495, 2214, 11, 274, 538, 6, 4246, 10, 13305, 14, 7630, 6568, 10, 25306, 8, 3722, 5466, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 6670, 10, 19448, 13569, 9862, 150, 8668, 20292, 223, 34693, 4, 20, 46336, 3184, 29769, 198, 5, 3222, 5785, 227, 5, 272, 119, 8, 274, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57530, 51234, 55689, 51050, 53890, 50997, 54259, 50899, 51675, 54662, 55689, 51378, 53890, 50997, 54259, 50956, 51675, 54662, 55689, 51050, 53890, 50997, 54259, 50899, 51675, 54662, 55689, 51050, 53890, 50997, 54259, 50899, 51675, 54662, 71673, 54994, 51050, 53890, 50997, 54259, 50899, 51675, 50438, 50931, 50918, 54662, 78809, 54994, 51378, 53890, 50997, 54259, 50956, 51675, 50438, 51001, 50918, 54662, 65271, 52115, 51050, 59353, 51631, 50997, 71673, 51161, 58296, 51675, 54662, 55689, 51050, 53890, 50997, 54259, 50899, 51675, 54662, 59292, 51353, 50931, 51353, 60284, 53890, 50997, 54259, 50899, 51675, 54662, 64813, 51353, 50876, 74905, 51378, 53890, 50997, 54259, 50956, 51675, 50450, 51001, 51003, 54662, 59292, 51353, 50902, 51353, 60284, 53890, 50997, 54259, 50899, 51675, 54662, 55689, 51050, 53890, 50997, 54259, 50899, 51675, 54662, 59292, 51036, 50931, 60055, 51050, 59353, 51631, 50997, 61433, 51161, 58296, 51675, 51081, 51918, 51146, 51798, 51062, 51923, 51081, 50795, 54662, 64813, 74183, 56100, 51378, 65271, 51631, 50997, 78809, 51736, 50956, 51675, 51062, 51918, 51114, 51798, 51001, 50807, 54662, 65271, 52115, 51050, 59353, 51631, 50997, 56964, 51736, 50899, 51675, 50902, 51358, 65851, 50807, 54734, 56964, 53504, 50902, 51835, 51085, 56964, 51605, 60643, 54259, 51176, 51675, 54734, 51359, 50444, 50931, 54230, 51146, 55345, 51062, 50873, 50460, 51050, 51359, 50997, 51359, 50461, 50900, 51359, 50899, 51359, 54578, 51359, 51146, 55689, 50931, 51218, 50444, 50931, 54230, 51146, 55345, 51062, 50873, 54662, 51458, 50330, 55689, 51378, 78809, 51218, 56759, 54259, 50956, 51127, 50989, 51675, 57428, 78809, 54230, 50956, 51734, 50324, 55345, 50997, 78809, 50873, 54662, 61433, 51359, 60284, 53890, 50997, 54259, 50900, 51675, 50899, 51675, 50871, 51675, 54662, 55689, 51050, 53890, 50997, 54259, 50899, 59391, 58141, 50906, 57643, 54230, 50871, 51517, 50330, 55345, 51062, 50873, 54662, 51458, 50330, 55689, 51050, 61433, 51127, 56759, 54259, 50900, 51675, 50899, 51675, 50871, 51675, 50444, 50931, 54230, 51146, 55345, 51062, 50873, 54868, 51458, 50330, 55689, 51027, 51458, 50333, 51127, 53337, 54259, 50916, 51675, 50871, 51675, 50877, 51675, 50444, 51146, 54230, 52052, 55345, 51814, 50873, 55881, 51458, 50335, 51359, 56978, 53890, 50997, 54259, 50956, 54233, 51120, 55322, 51026, 54230, 50997, 55345, 50899, 50873, 53997, 55689, 51026, 50873, 53523, 54259, 50956, 51675, 50444, 50951, 54230, 51405, 55345, 51146, 50873, 53997, 51458, 50331, 55689, 51026, 60126, 51218, 53523, 54259, 50899, 72225, 58532, 50943, 55513, 60126, 54230, 50861, 62542, 51734, 50331, 55345, 51146, 50873, 54594, 51218, 50876, 51218, 51405, 55689, 50877, 51218, 51062, 50873, 53645, 51218, 64551, 51675, 50861, 71158, 51062, 54230, 51050, 51734, 50326, 55345, 51062, 50873, 54662, 51458, 50330, 51359, 60284, 53890, 50997, 54259, 50871, 51218, 50906, 51675, 55895, 72225, 50943, 54206, 51218, 50871, 51218, 50906, 51359, 56014, 51218, 50956, 51218, 64057, 62649, 51734, 50330, 50943, 58439, 51458, 50330, 55689, 51197, 70553, 53890, 51176, 51458, 50327, 54259, 50900, 70553, 54233, 50956, 51127, 51405, 56508, 51146, 55345, 51062, 50873, 54795, 70553, 60413, 51120, 53890, 51026, 71673, 51127, 71288, 54233, 50899, 51127, 50450, 50951, 55345, 51081, 50873, 53997, 70553, 51359, 56978, 50873, 53523, 54259, 50916, 54233, 50861, 55322, 50899, 54230, 50916, 55345, 50861, 50873, 54960, 51359, 50444, 50931, 51798, 51146, 51923, 51062, 50795, 50460, 51050, 51307, 50997, 51307, 50461, 50900, 51307, 50899, 51307, 54578, 51307, 50931, 63627, 67026, 52115, 50902, 56645, 51918, 50906, 78776, 50983, 50931, 51798, 50931, 76506, 51923, 51062, 50795, 54662, 63627, 67026, 52115, 51378, 57367, 61907, 51631, 50997, 51736, 50956, 74882, 51358, 50444, 55179, 51001, 61907, 51798, 50956, 59351, 59688, 51923, 50997, 57367, 61907, 50795, 54662, 55673, 51605, 50931, 51605, 60284, 51631, 50997, 51736, 50900, 51358, 50899, 51358, 50871, 51358, 65851, 73745, 50902, 51267, 50453, 50931, 51255, 50455, 50999, 54319, 51081, 62616, 51146, 57023, 51339, 50862, 54662, 65857, 51003, 60284, 51631, 50997, 51736, 50899, 51358, 52052, 60510, 50931, 51798, 51146, 51923, 51062, 50795, 54662, 56645, 63627, 67026, 52115, 51050, 55673, 56645, 51631, 50997, 51736, 50900, 51358, 50899, 51358, 50871, 51358, 50444, 50931, 51798, 51146, 51923, 51062, 50795, 54868, 56645, 57883, 67026, 52115, 51027, 57883, 67026, 65857, 51631, 50899, 51736, 50916, 51358, 50871, 51358, 50877, 51358, 50444, 51081, 51798, 51146, 50807, 51339, 50807, 52052, 51923, 51814, 50795, 55881, 63627, 50918, 51405, 50918, 51487, 56100, 51026, 51631, 50997, 51736, 50956, 51646, 51120, 63627, 50918, 51146, 56027, 51026, 51798, 50997, 51923, 50899, 50795, 53997, 57022, 50918, 51062, 50918, 51405, 54994, 51026, 51631, 50900, 51736, 50956, 51358, 58365, 62656, 52610, 51001, 62656, 51958, 50328, 51958, 50331, 52931, 50902, 75623, 50806, 53997, 57367, 62656, 51958, 50328, 51958, 50331, 52774, 51026, 54828, 62656, 52247, 50900, 51736, 50899, 60821, 55890, 53218, 50900, 54828, 62656, 52610, 50861, 56793, 63161, 50806, 51405, 52931, 50902, 75623, 50806, 54594, 69020, 63161, 77535, 50806, 51405, 52774, 50877, 69020, 71064, 77535, 52247, 50871, 57345, 50956, 51358, 50861, 56027, 50876, 63037, 51274, 51062, 52610, 51050, 56793, 70622, 52931, 50876, 77535, 50806, 54662, 55673, 51469, 50931, 51469, 51081, 51469, 51146, 51469, 60284, 51631, 50997, 51736, 50871, 74726, 51358, 55895, 60821, 50807, 54206, 65901, 74726, 51036, 56014, 76603, 58624, 50997, 75677, 72117, 52370, 50330, 52370, 50333, 51090, 58439, 72945, 52370, 50330, 52370, 50333, 57487, 51197, 51936, 50319, 52370, 50328, 52370, 50331, 56346, 51176, 68550, 52370, 50327, 52370, 50330, 50911, 56014, 51936, 50319, 52370, 50328, 52370, 50331, 56810, 50956, 51356, 50951, 53177, 50331, 53177, 50335, 64466, 50931, 75623, 50806, 51339, 52931, 51001, 77535, 50806, 51405, 50806, 54795, 51936, 50319, 51958, 50328, 51958, 50331, 55419, 51120, 55341, 51026, 68550, 51958, 50326, 51958, 50330, 55224, 50997, 54993, 50899, 51356, 65851, 62656, 70622, 52931, 50902, 70622, 75623, 50806, 53997, 75672, 51469, 51062, 51196, 51430, 51469, 56978, 50893, 53523, 52309, 50916, 52322, 50861, 52692, 50899, 52610, 50916, 52931, 50861, 50911, 54960, 52017, 50437, 51062, 56039, 52357, 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, 250, 8787, 5175, 15229, 11, 272, 3694, 6, 4246, 21979, 8669, 8, 9590, 6, 18558, 18046, 6, 26432, 636, 3938, 22052, 6, 8, 21072, 6, 70, 8216, 7, 10, 15352, 30054, 8, 20425, 2369, 18795, 14, 7630, 6568, 6453, 9, 11098, 8, 657, 6, 150, 6780, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 1328, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50796, 61108, 73010, 51311, 51184, 50960, 51184, 50416, 50970, 51184, 50929, 51184, 66269, 51192, 51207, 51779, 74438, 50929, 56111, 51793, 51158, 51504, 51779, 62991, 50970, 56412, 51930, 51116, 52562, 53451, 50882, 50428, 51136, 52119, 51389, 50976, 51444, 52865, 74958, 50960, 52952, 51150, 50975, 50885, 52313, 50986, 50846, 51136, 50828, 63981, 51563, 50941, 50885, 55598, 51463, 52087, 58710, 51098, 50975, 50885, 66250, 51042, 54166, 50986, 50820, 75043, 50929, 51101, 51563, 51000, 50885, 54998, 51463, 52087, 66458, 50848, 50887, 53788, 50975, 50979, 52410, 75731, 51136, 65106, 50829, 51563, 50908, 50979, 55307, 51463, 52087, 65393, 51098, 55889, 50979, 58465, 51098, 59495, 50950, 50431, 51136, 51008, 54680, 52087, 53230, 51261, 51454, 50986, 50863, 64567, 51032, 50880, 51563, 80139, 55557, 51463, 52050, 51582, 56861, 51032, 50828, 51563, 53301, 51158, 50435, 50979, 52896, 51150, 50993, 50872, 75804, 50847, 51300, 50444, 50986, 50870, 79521, 50929, 50813, 51563, 64698, 51463, 52087, 58710, 51098, 65563, 50986, 50828, 51136, 70169, 50862, 51563, 61551, 51463, 52087, 50879, 53788, 51167, 50992, 50959, 50417, 50847, 54681, 50986, 50820, 51136, 50862, 64567, 51563, 51126, 50944, 56395, 51463, 52087, 65393, 51098, 50921, 50847, 55889, 50979, 58129, 51098, 70938, 50959, 50944, 66775, 54680, 52087, 53230, 51150, 50952, 50986, 65018, 50933, 74658, 51032, 50880, 51563, 73825, 56332, 51463, 52050, 51582, 56861, 51032, 50828, 51563, 53301, 51158, 50435, 63206, 50979, 54773, 51098, 50993, 50979, 62859, 51311, 56069, 50960, 50839, 50970, 76876, 50825, 51563, 51004, 50848, 52702, 51463, 52087, 58710, 51273, 51653, 50848, 57701, 51311, 75966, 76769, 50863, 64567, 51563, 51128, 51017, 54998, 51463, 52087, 66458, 50848, 52512, 53458, 72882, 51311, 50825, 50960, 76769, 50837, 64567, 51563, 68376, 51463, 52087, 65393, 51273, 51045, 50429, 51273, 67803, 51311, 50839, 50960, 70326, 50825, 67765, 54680, 52087, 53230, 51140, 51016, 51067, 50880, 51563, 56175, 51463, 52050, 51582, 56861, 51311, 50941, 50960, 70326, 50941, 51067, 50836, 51563, 53301, 51158, 57280, 51066, 51257, 50942, 50440, 51149, 70214, 51298, 54394, 51311, 50829, 50960, 50884, 50970, 73942, 50829, 51563, 50928, 51007, 53800, 51463, 52087, 50952, 50447, 50909, 55254, 51273, 50993, 50935, 58045, 50847, 55577, 51311, 50829, 50960, 70326, 76876, 50825, 51563, 51004, 50872, 53434, 51463, 52087, 66458, 50944, 50887, 53458, 50975, 72527, 50417, 50848, 56202, 51311, 50835, 50960, 76769, 50837, 69547, 51563, 51297, 50848, 55307, 51463, 52087, 65393, 51273, 51045, 50885, 57272, 51042, 67270, 51273, 78881, 50970, 50863, 50929, 54494, 51139, 52087, 53230, 51098, 50821, 51311, 50825, 50960, 50883, 51067, 50880, 51563, 53766, 51463, 52050, 51582, 56861, 63208, 60907, 51067, 50836, 51563, 52694, 51158, 50437, 50960, 53018, 51150, 51066, 50885, 55380, 75731, 51136, 50904, 50929, 50820, 51563, 71925, 54328, 51463, 52087, 58710, 51098, 50975, 50885, 51045, 50453, 51042, 55433, 75731, 51136, 50904, 64567, 51563, 51126, 50885, 55598, 51463, 52087, 66458, 50848, 50950, 53788, 50975, 50979, 53213, 50986, 50820, 75043, 50929, 50813, 51563, 51000, 50979, 54328, 51463, 52087, 65393, 51098, 61001, 50979, 51033, 50429, 51098, 56954, 50950, 50431, 50986, 50884, 51136, 76320, 53683, 51139, 52087, 53230, 51261, 51116, 51032, 50880, 51563, 50880, 50979, 55557, 51463, 52050, 51582, 56861, 50986, 50828, 75043, 72919, 51032, 50828, 51563, 52373, 51158, 50435, 50872, 53574, 51150, 50993, 50847, 52827, 50444, 50986, 50820, 75043, 64567, 51563, 68376, 51463, 52087, 58710, 51098, 58954, 50986, 50828, 51136, 65106, 50813, 51563, 64698, 51463, 52087, 50879, 53788, 50993, 60434, 50883, 70952, 72919, 51563, 57323, 51463, 52087, 65393, 51098, 51033, 50944, 57316, 50847, 54056, 51098, 76153, 58607, 50986, 71254, 66655, 53404, 51139, 52087, 53230, 51150, 50921, 51032, 50880, 51563, 61843, 52847, 51463, 52050, 51582, 56861, 50986, 50846, 75043, 50929, 50887, 51032, 50828, 51563, 52535, 51158, 50435, 50944, 54459, 51098, 51500, 50847, 60159, 51311, 50904, 50960, 70326, 76876, 50825, 51563, 50982, 50872, 52942, 51463, 52087, 58710, 51273, 50975, 50872, 56354, 51311, 50825, 50960, 70326, 50837, 64567, 51563, 51128, 50868, 53843, 51463, 52087, 66458, 50872, 51274, 53458, 51379, 50420, 51311, 50835, 50960, 70326, 76876, 50829, 51563, 58272, 51463, 52087, 65393, 51273, 58465, 51273, 50840, 51439, 51033, 50431, 50960, 70326, 50825, 67765, 51067, 50887, 51563, 62653, 51139, 52087, 53230, 51140, 50887, 79312, 52238, 54796, 51463, 52050, 51582, 56861, 51067, 50829, 51563, 53353, 51158, 50435, 51439, 52877, 51098, 50993, 62374, 52238, 50910, 50441, 51439, 50942, 50443, 51311, 56069, 50960, 50839, 50970, 76876, 50825, 51563, 51004, 51257, 57158, 51463, 52087, 50952, 50447, 51439, 54988, 51273, 50975, 51257, 79179, 51298, 52643, 51311, 75966, 76769, 50863, 64567, 51563, 51128, 51007, 72815, 51463, 52087, 66458, 51257, 50910, 53458, 51505, 79419, 50416, 51149, 62716, 51007, 57606, 51311, 50825, 50960, 76769, 50837, 64567, 51563, 51126, 50909, 55598, 51463, 52087, 65393, 51273, 66109, 55440, 50847, 51033, 50429, 51273, 50803, 50935, 51051, 53143, 50975, 50431, 51311, 50839, 50960, 70326, 50825, 67765, 70984, 53659, 52087, 53230, 51098, 50811, 51067, 50880, 51563, 56175, 51463, 52050, 52304, 57485, 51311, 50941, 50960, 70326, 50941, 51067, 50836, 51563, 61387, 51051, 55903, 52199, 51158, 57385, 50975, 50885, 50824, 52876, 58919, 50986, 50846, 51136, 66655, 50862, 51563, 50941, 55903, 54796, 54866, 53078, 58710, 51098, 50975, 52876, 59349, 50986, 50820, 75043, 50929, 50813, 51563, 51000, 55903, 54692, 54866, 53078, 50879, 53788, 50975, 52876, 54681, 75731, 51136, 65106, 50829, 51563, 50908, 55903, 54996, 54866, 53078, 65393, 51098, 50921, 52876, 55104, 52803, 64595, 50975, 50431, 51136, 51008, 53316, 52087, 53230, 51261, 51454, 50986, 50863, 64567, 51032, 50880, 51563, 54996, 54866, 53683, 52010, 50434, 51032, 50828, 51563, 53301, 51158, 57385, 50993, 52876, 60815, 50986, 50870, 79521, 50929, 50813, 51563, 51000, 55903, 54998, 54866, 53078, 58710, 51098, 51167, 52876, 57939, 50986, 50828, 51136, 70169, 50862, 51563, 50941, 55903, 56175, 54866, 53078, 50879, 53788, 51167, 52876, 50952, 60434, 50820, 51136, 50862, 64567, 51563, 51126, 55903, 54998, 54866, 53078, 65393, 51098, 50921, 52876, 50975, 50429, 51098, 61721, 53316, 52087, 53230, 51150, 50952, 50986, 65018, 50933, 74658, 51032, 50880, 51563, 50886, 56343, 54972, 54866, 53683, 52010, 50434, 51032, 50828, 51563, 53301, 51158, 57280, 50993, 50443, 51311, 56069, 50960, 50839, 50970, 76876, 50825, 51563, 51004, 52876, 69022, 54866, 53078, 58710, 51273, 51653, 53143, 54418, 51311, 75966, 76769, 50863, 64567, 51563, 51128, 56343, 53025, 54866, 53078, 66458, 54708, 51066, 53458, 72882, 51311, 50825, 50960, 76769, 50837, 64567, 51563, 68376, 54866, 53078, 65393, 51273, 51045, 50429, 51273, 67803, 51311, 50839, 50960, 70326, 50825, 67765, 53316, 52087, 53230, 51140, 51016, 51067, 50880, 51563, 56175, 54866, 53683, 52010, 50434, 51311, 50941, 50960, 70326, 50941, 51067, 50836, 51563, 53301, 51158, 57280, 51066, 52123, 51237, 51555, 74601, 51311, 50829, 50960, 50884, 50970, 73942, 50829 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 483, 7513, 30, 6755, 12547, 6, 38668, 22052, 6, 32909, 6, 8, 21072, 4, 20, 6711, 16, 32076, 8, 19448, 6, 19, 10, 11602, 9, 10, 2365, 8, 1619, 16464, 4, 8504, 11, 230, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 272, 6, 274, 6, 230, 6, 272, 6, 8, 274, 35315, 5705, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 54458, 50796, 61323, 51717, 51231, 52121, 51980, 51714, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51236, 55551, 51170, 53083, 51170, 53173, 51457, 66260, 54991, 51980, 50822, 50799, 51825, 51134, 51236, 54069, 51170, 52762, 51980, 50995, 51170, 52209, 51240, 52950, 51457, 50943, 51236, 55551, 51170, 53083, 51980, 50995, 51170, 53173, 51240, 50834, 50799, 54872, 52096, 51651, 53082, 51327, 52644, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51236, 55551, 51170, 53083, 51170, 53173, 51240, 50834, 50799, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51687, 51003, 51236, 55551, 51170, 53083, 51303, 51003, 51170, 53173, 51240, 50834, 50799, 56139, 51244, 52303, 51397, 51231, 51047, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 53655, 51145, 52303, 51047, 51303, 51183, 51236, 55551, 51170, 53083, 51170, 53173, 51240, 50834, 80219, 51293, 51476, 51151, 51687, 51313, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51236, 55551, 51170, 53083, 51231, 51025, 51170, 53173, 51240, 50834, 50799, 55285, 53082, 54872, 51359, 51476, 51151, 51687, 51293, 51303, 52122, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51236, 55551, 51170, 53083, 51170, 53173, 51240, 50834, 61323, 51353, 51687, 51243, 51651, 51293, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 55285, 56494, 55551, 51170, 53083, 51170, 55079, 51170, 52579, 51240, 50834, 80219, 52121, 51687, 50820, 51231, 52122, 51327, 51717, 51236, 55614, 52031, 51518, 78739, 52762, 51170, 52209, 51240, 52950, 51236, 55551, 51170, 53083, 51170, 60053, 51390, 54319, 51240, 59036, 52031, 50836, 61323, 52069, 51893, 51241, 51236, 54069, 51170, 52762, 51170, 56999, 52031, 58672, 51240, 52950, 51414, 51047, 51390, 51177, 51236, 55551, 52031, 50845, 51170, 53083, 51170, 59163, 51893, 54752, 51240, 50834, 50799, 61308, 51243, 51687, 53454, 51651, 52122, 51327, 52122, 51236, 55614, 51334, 51151, 78739, 52762, 51170, 52209, 51240, 52950, 51236, 55551, 51170, 53083, 51170, 53173, 51240, 50834, 50799, 54872, 51353, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51476, 51397, 51687, 51151, 52031, 51159, 51236, 55551, 51170, 53083, 51893, 51377, 51170, 53173, 51240, 50834, 50799, 56139, 51145, 52303, 52069, 51231, 51145, 52004, 51417, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 53655, 51148, 51410, 51183, 51303, 51047, 51236, 59575, 51893, 51400, 50447, 51170, 53083, 52004, 50845, 51170, 53173, 51240, 59036, 52031, 51047, 80219, 51293, 51476, 51293, 51687, 51313, 51231, 51293, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 51327, 51397, 51236, 60797, 51408, 51116, 50447, 51170, 53083, 51170, 53173, 51334, 67414, 50834, 50799, 55285, 52121, 51476, 51717, 51687, 51717, 51651, 51717, 51236, 55614, 52031, 58861, 51893, 51242, 51170, 52762, 51170, 56999, 51893, 51151, 50432, 51240, 52950, 51236, 55551, 51170, 53083, 51170, 53173, 51240, 50834, 74149, 51151, 51236, 54069, 51170, 52762, 51170, 52209, 51240, 52950, 52303, 51127, 51236, 55551, 51170, 53083, 51186, 50980, 51394, 58730, 63317, 51629, 61702, 51170, 57208, 51182, 55577, 51201, 65547, 57029, 51395, 77929, 51107, 50930, 80219, 52121, 51687, 50820, 51231, 52122, 51327, 51717, 50964, 50890, 52200, 51362, 51088, 53073, 55464, 51717, 52233, 51717, 52606, 51717, 51236, 52981, 50964, 74719, 51170, 52762, 51170, 52209, 51240, 54487, 50964, 53442, 50964, 59453, 53675, 50964, 50889, 50447, 51170, 53083, 51170, 53173, 51633, 73893, 54991, 50964, 50828, 61323, 52069, 50964, 50890, 51993, 51204, 51236, 52981, 50964, 74719, 51170, 52762, 51170, 56999, 52200, 57356, 51240, 54487, 50964, 53219, 51414, 51047, 50964, 50840, 51633, 51191, 51236, 53675, 50964, 51227, 50447, 51170, 53083, 51170, 53173, 71597, 52200, 74858, 50834, 50799, 61308, 51243, 51687, 53454, 51651, 52122, 51327, 52122, 77685, 51375, 51036, 57380, 51313, 51236, 55614, 51643, 67729, 51325, 51016, 50423, 52004, 51221, 51170, 52762, 51170, 52209, 51240, 56802, 54280, 58952, 51325, 53418, 51325, 59608, 67268, 54280, 73779, 51325, 62902, 51170, 53083, 51170, 53173, 54193, 55215, 54991, 51325, 50818, 50799, 54872, 51353, 51325, 50887, 51093, 51103, 52233, 50829, 52606, 50834, 52398, 51047, 51236, 52981, 51325, 51016, 78739, 52762, 51170, 52209, 51240, 54487, 51325, 54292, 51476, 51397, 51687, 51151, 51325, 50840, 52200, 51048, 51395, 51356, 52004, 51043, 52606, 50813, 52398, 50857, 51716, 51047, 51236, 53675, 51325, 50896, 50446, 51893, 51423, 50447, 51170, 53083, 51993, 51346, 51170, 59163, 52031, 53581, 78144, 51240, 56842, 52372, 50918, 50799, 56139, 51145, 52303, 52069, 51231, 51145, 72096, 51182, 51356, 51678, 51047, 52072, 51293, 53034, 51047, 51236, 55614, 52031, 51397, 50420, 51105, 51013, 78739, 52762, 51170, 52209, 51240, 54487, 51105, 52565, 53655, 51148, 51410, 51183, 51303, 51047, 67482, 51993, 51291, 51201, 51364, 51821, 51047, 52009, 51183, 51236, 59575, 51390, 51295, 50444, 74235, 50447, 51170, 53083, 51170, 53173, 51395, 50859, 52031, 51242, 51240, 54991, 50927, 50828, 51107, 50952, 80219, 51293, 51476, 51293, 51687, 51313, 51231, 51293, 50964, 50840, 52200, 51091, 51395, 51356, 52606, 51080, 51678, 51047, 51716, 51047, 51236, 55614, 51334, 71215, 50964, 62405, 51170, 52762, 51170, 52209, 51240, 54487, 50964, 53116, 51327, 51397, 50964, 50840, 51182, 51356, 51678, 50834, 51716, 50820, 53034, 52122, 51236, 59575, 51209, 78373, 50964, 51016, 50447, 51170, 61762, 51408, 65295, 51170, 57150, 52372, 53312, 51334, 51242, 51240, 54991, 50964, 50818, 50799, 55285, 52121, 51476, 51717, 51687, 51717, 51651, 51717, 73834, 51182, 56736, 52398, 52096, 51236, 65334, 51993, 51077, 51408, 51662, 50420, 51096, 62405, 51170, 52762, 51170, 52209, 51240, 54487, 51096, 53442, 51096, 59453, 53675, 51096, 51016, 50447, 51170, 53083, 51170, 60053, 51209, 70652, 51240, 54991, 51096, 50846, 74149, 51151, 51096, 50840, 51256, 52015, 51236, 52981, 51096, 62405, 51170, 52762, 51170, 52209, 51240, 54487, 51096, 53442, 52303, 51127, 51096, 55064, 55767, 53675, 51096, 51112, 80190, 51170, 53083, 51201, 52716, 55549, 63317, 51182, 58629, 51170, 57208, 51629, 55433, 51096, 50890, 51394, 50887, 65949, 57029, 51304, 69738, 51384, 50890, 80219, 52121, 51687, 50820, 51231, 52122, 51327, 51717, 50964, 51343, 51811, 51941, 55464, 52122, 52233, 51717, 52606, 52024, 52166, 55816, 55614, 52200, 51446, 51039, 54069, 77070, 50829, 51694, 56581, 52209, 65949, 54487, 50964, 53345, 51041, 53219, 50964, 53345, 51041, 55816, 53675, 50964, 50889, 80190, 77070, 53083, 51384, 71939, 56581, 53173, 51633, 50910, 51811, 50967, 65949, 54991, 50964, 50840, 52093, 61323, 52069, 50964, 50836, 51993, 51091, 51690, 50807, 52166, 55816, 52981, 50964, 50889, 52093, 50423, 77070, 52762, 51811, 55107, 56581, 52209, 52200, 50938, 65949, 54487, 50964, 53243, 51041, 53219, 51414, 51047, 50964, 50840, 51384, 50889, 51897, 55816, 59575, 51633, 52815, 50964, 51227, 80190, 52200, 50938, 77070, 53083, 51811, 51157, 50816, 56581, 60053, 51993, 55037, 71597, 65949, 50834, 51621, 50828, 50799, 61308, 51243, 51687, 53454, 51651, 52122, 51327, 52122, 77685, 52372, 51446, 51304, 52392, 57380, 51445, 52166, 55816, 52981, 51325, 51016, 52093, 50423, 60065, 50967, 77070, 50829, 51694 ]
[ 0, 4688, 17627, 17274, 5175, 2214, 4246, 10, 4401, 757, 3178, 6, 38668, 2236, 6, 6755, 12547, 6, 12280, 3275, 1725, 3109, 6, 8, 18558, 6, 2351, 10, 33558, 8, 2365, 5466, 4, 20, 33301, 30853, 11, 163, 3694, 23, 41, 12447, 1001, 20889, 6, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 272, 401, 6, 272, 119, 1176, 406, 6, 230, 6, 211, 6, 8, 272, 3639, 7, 5, 2214, 18, 11653, 8, 1372, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57739, 53028, 75011, 50841, 51570, 53083, 52261, 53028, 58423, 52679, 50905, 52041, 50905, 50425, 77818, 50905, 55283, 54335, 51711, 50941, 52225, 50941, 51975, 50845, 52416, 72416, 52123, 50905, 51783, 79614, 68444, 50905, 53985, 54342, 51838, 50941, 52036, 50941, 52044, 50845, 52342, 50845, 50436, 52041, 50995, 51555, 50995, 50437, 73806, 50995, 53132, 56656, 52225, 51079, 52137, 51079, 52416, 50915, 52205, 50915, 50448, 51783, 50995, 51584, 50995, 50449, 69579, 50995, 52945, 57991, 52036, 51254, 52430, 51254, 52342, 50915, 52662, 50915, 50460, 51783, 51318, 51584, 51318, 50461, 69579, 51318, 52945, 51318, 50799, 50700, 50280, 53413, 52036, 51961, 52430, 51961, 52342, 51115, 52662, 51115, 50425, 53059, 56667, 52787, 65838, 52041, 50905, 51555, 79614, 73806, 50905, 53132, 54342, 53059, 50887, 52787, 50887, 52225, 50941, 52137, 50941, 52416, 50845, 52205, 50845, 50436, 52041, 51662, 51555, 51662, 50437, 73806, 51662, 53132, 51662, 50438, 53059, 50930, 52787, 50894, 52225, 52783, 52137, 52783, 52416, 51422, 52205, 51422, 50450, 52631, 50880, 53368, 54647, 52631, 50890, 53368, 50887, 50799, 52631, 50962, 53368, 60743, 51584, 50995, 51567, 50995, 50425, 58707, 51253, 52689, 58187, 52588, 50880, 53059, 50890, 52430, 51753, 52626, 51753, 52662, 50915, 53382, 57173, 52588, 50880, 53059, 66248, 51555, 51318, 51902, 51318, 50437, 67093, 51535, 53565, 51535, 50438, 52588, 50811, 76860, 51148, 52137, 51330, 53499, 51330, 52205, 51115, 54081, 51115, 50439, 53059, 55092, 52588, 59586, 53059, 61189, 52588, 53401, 53059, 64072, 52588, 54208, 53059, 61081, 52588, 61192, 53059, 50857, 52041, 50905, 51555, 50905, 50455, 73806, 50905, 53132, 54509, 52588, 50855, 52225, 50941, 52137, 50941, 52416, 50845, 52205, 50845, 50460, 51783, 53487, 51584, 53487, 50461, 69579, 53487, 52945, 53487, 50799, 64885, 52096, 52036, 51671, 52430, 51671, 52342, 52919, 52662, 52919, 50426, 53163, 50880, 54186, 54053, 53163, 50836, 54186, 54957, 53163, 50880, 54186, 69458, 54688, 55268, 52787, 70332, 52787, 50809, 54688, 50930, 50799, 52787, 50880, 54688, 51010, 50424, 52123, 50905, 51783, 50905, 50425, 68444, 51242, 53985, 50905, 53368, 50809, 53163, 54818, 51838, 50941, 52036, 50941, 52044, 50845, 52342, 72416, 52041, 50905, 51555, 79614, 73806, 50905, 53132, 50905, 53368, 50809, 53163, 52359, 52225, 50941, 52137, 50941, 52416, 50845, 52205, 50845, 50436, 51783, 50995, 51584, 50995, 50437, 69579, 50995, 52945, 50995, 53368, 60364, 52036, 51852, 52430, 51852, 52342, 50915, 52662, 75408, 53163, 51010, 50440, 53368, 58344, 53163, 52510, 53368, 60886, 53163, 57012, 53368, 64457, 51584, 50995, 51567, 50995, 50449, 58707, 50995, 52689, 50995, 53163, 54086, 52430, 51753, 52626, 51753, 52662, 50915, 53382, 50915, 50451, 53368, 55726, 53163, 62802, 53368, 54481, 53163, 59972, 53368, 63298, 51584, 51318, 51567, 51318, 50461, 58707, 51318, 52689, 51318, 50799, 50700, 50275, 52096, 52430, 51447, 52626, 51447, 52662, 51115, 53382, 51115, 50427, 54422, 50884, 54688, 50962, 50430, 51555, 50905, 51902, 79614, 67093, 50905, 53565, 54342, 54688, 50930, 54422, 50887, 52205, 50845, 54081, 50845, 50436, 51555, 51662, 51902, 51662, 50437, 67093, 51662, 53565, 51662, 50438, 54688, 50962, 54422, 50890, 52137, 52783, 53499, 52783, 52205, 51422, 54081, 51422, 50450, 53163, 50890, 54186, 54663, 53163, 50809, 54186, 50890, 50799, 53163, 50890, 54186, 60743, 51584, 50995, 52037, 50995, 50425, 53985, 50995, 53686, 58187, 54688, 50883, 52787, 50887, 52430, 51797, 53718, 51797, 52662, 50915, 58683, 50915, 50431, 52787, 50836, 54688, 61300, 51555, 51318, 52075, 51318, 50437, 55283, 51318, 53274, 51318, 50438, 52787, 50949, 52137, 51961, 53828, 51961, 52205, 51115, 57082, 51115, 50439, 54688, 59120, 52787, 58344, 54688, 52510, 52787, 50862, 66266, 69225, 54688, 64072, 52787, 60062, 54688, 52800, 66266, 50921, 50452, 52787, 57168, 54688, 61171, 51783, 50905, 51612, 50905, 50455, 55327, 50905, 52888, 63044, 52787, 50857, 52036, 50941, 52886, 50941, 52342, 50845, 54066, 54371, 76336, 54688, 50835, 52198, 50882, 50460, 52041, 52096, 51567, 52096, 50461, 58707, 52096, 52689, 52096, 70963, 50897, 55678, 50961, 52225, 52829, 52626, 52829, 52416, 53295, 53382, 53295, 50798, 52964, 56717, 51945, 51335, 51714, 50417, 55678, 57242, 52713, 50897, 58674, 52633, 53425, 51995, 57277, 55020, 55589, 53695, 52713, 50897, 53191, 50961, 52588, 50961, 52631, 52633, 50836, 51450, 52964, 54465, 52713, 50897, 53191, 50930, 52588, 50930, 53059, 52633, 53401, 51451, 50817, 51366, 50817, 51209, 52568, 51995, 53834, 55020, 51045, 56370, 51121, 50453, 51451, 50817, 51366, 50817, 51209, 52193, 52475, 50849, 58674, 52633, 57023, 56357, 52633, 50836, 70963, 50897, 55678, 55130, 62003, 58160, 55678, 57242, 52713, 50897, 58674, 55060, 51156, 53425, 51995, 57277, 55020, 52853, 53810, 52713, 50897, 53191, 50930, 52588, 50930, 52631, 50930, 66266, 51864, 53574, 66266, 52589, 52964, 54400, 52713, 50897, 53191, 50930, 52588, 50930, 53059, 52633, 55761, 51451, 50817, 51366, 50817, 51209, 50817, 50768, 50302, 53711, 51995, 50849, 58601, 53662, 56214, 52273, 74505, 51451, 50817, 51366, 50817, 51209, 52193, 52475, 50849, 58674, 51014, 62797, 51041, 56132, 56357, 50887, 62797, 51041, 50840, 70963, 50897, 52376, 51059, 55678, 50961, 52133, 54270, 52033, 54270, 51615, 54270, 50798, 52964, 56717, 51318, 51335, 51318, 50417, 55678, 57242, 52713, 50897, 58674, 52633, 53425, 51995, 50897, 52588, 54451, 55020, 53960, 53695, 52713, 50897, 52376, 51059, 53191, 50930, 52588, 50930, 52631, 52633, 50836, 51450, 52964, 54465, 52713, 50897, 53191, 50930, 52588, 50930, 53059, 52633, 53401, 51451, 50817, 51366, 50817, 51209, 52568, 51995, 50849, 51831, 51735, 50798, 55020, 51012, 56370, 51121, 50453, 51451, 50817, 51366, 50817, 51209, 52193, 52475, 50849, 58674, 52633, 57023, 56357, 51139, 59026, 52376, 51029, 70963, 50897, 55678, 55130, 62003, 58160, 55678, 56051, 52713, 50897, 58674, 52633, 53425, 51995, 50897, 52588, 54451, 55020, 53960, 59955, 52832, 51343, 50432, 52713, 50897, 53191, 50961, 52588, 50961, 52631, 52633, 50836, 51450, 52964, 54400, 52713, 50897, 53059, 50961, 53191, 50930, 52588, 52633, 55761, 51451, 50817, 51366, 50817, 51209, 52568, 51995, 50849, 52376, 70958, 57361, 53960, 52273, 74505, 51451, 50817, 51366, 50817, 51209, 52193, 52475, 50849, 58674, 52633, 56132, 56357, 51139, 58693, 52376, 51029, 70963, 50897, 55678, 50961, 52225, 51679, 52137, 51679, 50798, 52964, 54745, 55678, 56051, 52713, 50897, 58674, 52633, 53425, 51995, 50897, 52588, 54451, 55020, 53960, 53695, 52713, 50897, 51831, 51761, 53191, 50961, 52588, 50961, 52631, 50930, 52036, 51679, 52430, 51679, 50791, 50836, 51450, 52964, 54465, 52587, 50849, 53191, 50961, 52588, 50930, 53059, 52633, 53401, 51451, 50817, 51366, 50817, 51209, 58977, 51667, 51735, 50450, 52660, 50849, 52430, 51645, 52626, 51645, 50798, 55020, 51138, 56370, 51121, 50453, 51451, 50817, 51366, 50817, 51209, 52193, 52645, 50849, 53191, 51139, 57023, 53191, 52633, 59026, 51652, 51795, 62640, 50897, 52564, 50961, 53541, 54270, 51881, 54270, 51615, 54270, 52137, 51449, 53499, 73506, 62003, 58160, 52564, 57242, 51995, 50897, 53191, 52633, 53425, 52660, 50897, 52787, 54451, 55020, 53960, 53810, 51995, 50897, 52631 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 11, 83, 538, 6, 10686, 13, 2365, 50, 822, 304, 6, 4246, 10, 16331, 33215, 16739, 9, 230, 10431, 119, 6, 211, 6, 8, 3676, 406, 1328, 63, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 57739, 54960, 51717, 50968, 51717, 50999, 51717, 50861, 51717, 56310, 51717, 57731, 50951, 57327, 50951, 54342, 50951, 76782, 50951, 62729, 50999, 50873, 50443, 50999, 53898, 50444, 50999, 51295, 50460, 51430, 53002, 50796, 50461, 74104, 58479, 55126, 71433, 50999, 55035, 50999, 50894, 50999, 50892, 50431, 50999, 52309, 50968, 54137, 50968, 50980, 50999, 51003, 50448, 50999, 52570, 50450, 50999, 54509, 50968, 50974, 58479, 51151, 50799, 51070, 53579, 50800, 53667, 56202, 51070, 51682, 50277, 53881, 51070, 53351, 50800, 53667, 54725, 51070, 51581, 50277, 54123, 51070, 53351, 50800, 53667, 55700, 51070, 51581, 50277, 67267, 50951, 52903, 50450, 51070, 53579, 50800, 53667, 55037, 51070, 51804, 50277, 50874, 50799, 51070, 53630, 50800, 53667, 56202, 51070, 51682, 50277, 53881, 51070, 53579, 50800, 53667, 54725, 51070, 51581, 50277, 54123, 51070, 53630, 50800, 53667, 77607, 51717, 50902, 51717, 50951, 51717, 50444, 51070, 51581, 50277, 50874, 51220, 51800, 50325, 70233, 51070, 53630, 50830, 53667, 55037, 51070, 51682, 50277, 50874, 50999, 51790, 50460, 50999, 51933, 50799, 51070, 53630, 50800, 53667, 56202, 51070, 51682, 50277, 53881, 51070, 53618, 50800, 53667, 54725, 51070, 50839, 53667, 54123, 51070, 53351, 50800, 53667, 55700, 51070, 50834, 53667, 54385, 51070, 53630, 50800, 53667, 55037, 51070, 51682, 50277, 50874, 50799, 51070, 53351, 50800, 53667, 56202, 51070, 51581, 50277, 53881, 51070, 53351, 50800, 53667, 54725, 51070, 51581, 50277, 54123, 51070, 53579, 50800, 53667, 55700, 51070, 51581, 50277, 50874, 51220, 51003, 50446, 50999, 71977, 51220, 65458, 51070, 53630, 50800, 51814, 50859, 53667, 61816, 51717, 50968, 51717, 50999, 51717, 50453, 51430, 54424, 51070, 51804, 50277, 50874, 50999, 51364, 50999, 51452, 50458, 50999, 51058, 50799, 51070, 53579, 50800, 53667, 76586, 51430, 50907, 50418, 51814, 68531, 51070, 51682, 50277, 65370, 51430, 64783, 50999, 55656, 51070, 53351, 50800, 77757, 53667, 63727, 51814, 54854, 51070, 51581, 50332, 55583, 50277, 50874, 50999, 62408, 50999, 52179, 50437, 51814, 58946, 51070, 53351, 79594, 50952, 53667, 50865, 50440, 51430, 54478, 51070, 61941, 51129, 53667, 50874, 50999, 52848, 51070, 53579, 50800, 77757, 53667, 55037, 51070, 51804, 50277, 50874, 50999, 54421, 51062, 51124, 50799, 51070, 53630, 50800, 53667, 56202, 51070, 51682, 50277, 53881, 51070, 53579, 50800, 53667, 54725, 51070, 51581, 50277, 54123, 51070, 53630, 50800, 53667, 55700, 51070, 51581, 50277, 50874, 51220, 54526, 51070, 53630, 50830, 53667, 55037, 51070, 51682, 50277, 50874, 50999, 51790, 50458, 50999, 50952, 50461, 51220, 51158, 50799, 51070, 53630, 67858, 50821, 53667, 77607, 51717, 50902, 51717, 50420, 51070, 51682, 50277, 50874, 51315, 50921, 50999, 69027, 51070, 53618, 71244, 50921, 53667, 54725, 51070, 50839, 53667, 54123, 51070, 53351, 50800, 53667, 55700, 51070, 50834, 53667, 54385, 51070, 53630, 50800, 53667, 55037, 51070, 51682, 50277, 50874, 75907, 51192, 50799, 51070, 53351, 50800, 53667, 51828, 50325, 51167, 50999, 57410, 51070, 51581, 50277, 53881, 51070, 53351, 50800, 53667, 50865, 50430, 51430, 51145, 50432, 51070, 51581, 50277, 54123, 51070, 53579, 50800, 53667, 55700, 51070, 51581, 50277, 54385, 51070, 53630, 50800, 53667, 55037, 51070, 51804, 50277, 50874, 50951, 68545, 51192, 50799, 51335, 56921, 57503, 53579, 50800, 53667, 51828, 50325, 51919, 50325, 60250, 51717, 51315, 51492, 51279, 51492, 51027, 51492, 50877, 52337, 50968, 51717, 50877, 51717, 51027, 51717, 50861, 51717, 50420, 51587, 52922, 58738, 50800, 53667, 53881, 51070, 53351, 53984, 50800, 53667, 54725, 51070, 51581, 50277, 50874, 50999, 53318, 50325, 60282, 51587, 52565, 51587, 52922, 53351, 53984, 50800, 53667, 71676, 51919, 50323, 55945, 51587, 52922, 51581, 50277, 50874, 50999, 51644, 50325, 52610, 51587, 52922, 53579, 53984, 50800, 53667, 55037, 51070, 51804, 50277, 50874, 72411, 57503, 53630, 53984, 50800, 53667, 71676, 78556, 50951, 72207, 51587, 57503, 58738, 50800, 53667, 50874, 60300, 50421, 50968, 55747, 50951, 50845, 50424, 50951, 55889, 51070, 53579, 53984, 50800, 53667, 63727, 64413, 50430, 50951, 53230, 51587, 52922, 51581, 50277, 50874, 50951, 50952, 50951, 62960, 51587, 52444, 51587, 57503, 53630, 53984, 50800, 53667, 71676, 71919, 50951, 60224, 51587, 57503, 61238, 50800, 53667, 50874, 50999, 51644, 50325, 55967, 51068, 51757, 51553, 57388, 58738, 51730, 50830, 53667, 67165, 51224, 57621, 58386, 51754, 51289, 57503, 58738, 58386, 50800, 53667, 50874, 50951, 61352, 50806, 50461, 50973, 51717, 51027, 53002, 50902, 51717, 50861, 52337, 72411, 57503, 53630, 50800, 53667, 51828, 50325, 51192, 50999, 51517, 50296, 53002, 51279, 53002, 50420, 51587, 52922, 58738, 50800, 53667, 53881, 51070, 53618, 53984, 50800, 53667, 54725, 51070, 50839, 53667, 50874, 50999, 51919, 50325, 60234, 51587, 52565, 51587, 52922, 53351, 53984, 50800, 53667, 71676, 51919, 50323, 56391, 51587, 52922, 56564, 50800, 53667, 50874, 50999, 74992, 52610, 51587, 52922, 53630, 53984, 50800, 53667, 55037, 51070, 51682, 50277, 50874, 72411, 57503, 53351, 53984, 50800, 53667, 71676, 53318, 50323, 55126, 51587, 57503, 61238, 50800, 53667, 50874, 76171, 50968, 75177, 50951, 51919, 50323, 53890, 51070, 53351, 53984, 50800, 53667, 63727, 50951, 71560, 53911, 51587, 52922, 51581, 50277, 50874, 50999, 51958, 50325, 51283, 50435, 51587, 52444, 51587, 57503, 53579, 53984, 50800, 53667, 55700, 51587, 57503, 61238, 50800, 53667, 57904, 51068, 51757, 51553, 57388, 53630, 53984, 50800, 53667, 67165, 51224, 57621, 58386, 51754, 51289, 57503, 59366, 58386, 50800, 53667, 50874, 50951, 65909, 50806, 72411, 57503, 53579, 50800, 53667, 51828, 50325, 51919, 50325, 60559, 51717, 51315, 51492, 51279, 51492, 51027, 51492, 50968, 51717, 50877, 51717, 51027, 51717, 50861, 51717, 50420, 51587, 52922, 58738, 50800, 53667, 53881, 51070, 53351, 53984, 50800, 53667, 54725, 51070, 51581, 50277, 50874, 50999, 53318, 50325, 60282, 51587, 52565, 51587, 52922, 53351, 53984, 50800, 53667, 71676, 51919, 50323, 55200, 51587, 52922, 51581, 50277, 50874, 50999, 60472, 52610, 51587, 52922, 53579, 53984, 50800, 53667, 55037, 51070, 51804, 50277, 50874, 72411, 57503, 53630, 53984, 50800, 53667, 71676, 73826, 50951, 72207, 51587, 57503, 58738, 50800, 53667, 50874, 50968, 62658, 50968, 55747, 50951, 50838, 50424, 50951, 55889, 51070, 53579, 53984, 50800, 53667, 63727, 63302, 50430, 50951, 53230, 51587, 52922, 51581, 50277, 50874, 60299, 50951, 75339, 51587, 59304, 52729, 51587, 57503, 53630, 53984, 50800, 53667, 71676, 61187, 50951, 60224, 51587, 57503, 61238, 50800, 53667, 50874, 50999, 51644, 50325, 55967, 51068, 51757, 51553, 57388, 58738, 51730, 50830, 53667, 67165, 51224, 57621, 58386, 51754, 51289, 57503, 58738, 58386, 50800, 53667, 50874, 75907, 50806, 50461, 50973, 51717, 51027, 53002, 50902, 51717, 72411, 57503, 53630, 50800, 53667, 51828, 50325, 51192, 50999, 51619, 50296, 53002, 51279, 53002, 50420, 51587, 52922, 58738, 50800, 53667, 53881, 51070, 53618, 53984, 50800, 53667, 54725, 51070, 50839, 53667, 50874, 50999, 51919, 50325, 58952, 51587, 52565, 51587, 52922, 53351, 53984, 50800, 53667, 71676, 51919, 50323, 53999, 51587, 52922, 56564, 50800, 53667, 50874, 50999, 60472, 52610, 51587, 52922, 53630 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 23338, 33518, 1264, 6, 13305, 6, 2342, 4467, 6, 8, 31391, 1672, 9590, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 11498, 10, 19448, 38451, 3938, 20889, 4, 20, 33215, 16739, 9, 163, 43531, 1176, 406, 6, 272, 37152, 6, 8, 211, 119, 406, 3639, 7, 63, 32625, 13569, 9862, 6, 442, 24, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 51034, 50628, 51034, 54307, 51157, 59613, 51735, 50415, 51844, 51742, 51615, 51422, 51711, 51692, 50801, 54839, 52905, 53334, 56993, 55882, 54307, 51111, 59613, 51388, 50432, 55248, 51033, 52049, 50974, 62708, 53925, 53718, 51111, 51975, 50974, 60187, 51505, 50804, 54119, 53044, 53828, 50795, 52049, 50838, 59623, 50802, 51034, 51533, 50834, 54339, 51127, 53334, 50835, 59470, 75264, 54839, 55614, 54457, 51742, 52402, 50820, 52187, 50839, 53541, 51518, 52255, 51692, 50420, 53324, 56307, 52797, 55284, 55882, 52251, 50904, 52156, 63369, 51827, 50904, 52604, 71371, 52251, 50864, 52156, 55286, 53324, 50974, 50433, 51827, 50886, 52604, 57039, 52251, 50886, 52156, 65219, 51827, 50886, 52604, 54927, 52886, 51048, 53334, 51199, 59800, 61512, 54119, 52703, 58751, 52251, 51806, 52156, 52996, 66164, 58145, 53181, 50855, 51615, 50862, 53718, 51238, 51565, 50941, 51827, 51126, 60187, 50993, 51034, 54311, 51742, 50801, 54839, 55614, 51881, 51518, 51863, 69058, 53718, 51175, 52573, 50905, 60187, 57432, 52844, 53828, 50948, 52049, 50974, 59623, 55276, 54339, 51177, 52044, 50974, 59470, 63944, 54119, 60371, 52886, 50805, 59800, 57816, 52049, 65390, 52626, 51103, 59449, 51527, 51034, 51640, 51742, 52402, 50841, 51656, 50841, 52550, 65178, 54839, 55614, 52133, 51518, 52402, 51518, 50420, 53334, 56307, 53322, 55284, 55882, 51673, 50904, 52480, 63369, 52480, 50904, 53598, 71371, 51673, 50904, 52480, 55487, 53334, 50974, 50433, 52480, 50864, 53598, 59068, 51673, 50886, 52480, 65219, 52480, 50886, 53598, 54927, 52550, 68693, 54119, 52703, 58751, 52137, 51576, 51673, 51806, 52480, 52996, 56770, 51377, 66164, 58145, 52133, 50841, 52402, 50841, 53188, 50932, 51673, 50863, 52480, 50908, 61878, 50914, 51034, 51132, 51742, 50801, 54839, 55614, 52795, 51422, 52402, 51077, 52255, 67297, 52735, 50932, 52550, 50905, 61891, 55560, 52844, 53334, 56298, 52626, 50914, 53324, 50974, 59449, 57623, 54119, 57927, 52255, 51157, 51711, 74322, 53334, 50838, 51034, 56496, 50820, 52494, 51422, 54457, 51742, 51881, 50846, 51743, 50846, 52187, 50846, 51838, 50846, 52886, 51056, 52573, 50974, 59800, 72209, 54839, 55614, 52187, 50889, 51838, 55385, 52292, 56307, 54339, 50943, 53324, 50838, 59470, 55113, 55882, 51743, 50889, 52187, 55112, 52292, 56298, 53718, 51199, 52573, 51199, 60187, 55067, 54119, 52703, 58751, 51881, 51157, 51743, 51157, 66164, 50835, 51034, 53602, 50820, 51533, 51742, 53817, 50846, 52402, 50846, 54339, 52222, 59470, 51991, 50801, 54839, 55614, 53042, 51047, 53181, 51538, 51615, 79216, 53296, 56993, 52844, 53334, 56298, 52443, 60344, 54119, 57927, 54650, 59791, 53334, 50838, 51034, 53602, 51080, 51727, 51742, 53817, 51486, 52402, 51518, 53296, 65178, 54839, 52981, 53334, 56307, 52049, 55284, 52844, 53334, 50974, 50437, 50997, 61147, 65960, 51709, 53296, 51199, 50801, 54839, 54119, 53044, 51086, 50823, 51034, 51132, 51742, 52133, 51422, 52255, 51692, 50900, 73503, 54839, 52905, 52550, 56993, 52844, 52292, 50974, 50433, 50956, 60363, 51975, 60344, 54119, 55218, 51176, 58919, 52292, 75999, 51026, 51343, 50449, 55148, 50820, 51881, 50839, 51743, 50820, 52187, 50839, 51034, 54457, 51742, 51881, 51675, 51743, 51790, 52573, 65178, 54839, 52981, 52292, 56307, 51886, 50904, 52171, 51000, 53324, 55284, 61146, 52171, 50904, 54051, 66251, 51886, 50864, 52171, 75988, 50997, 51653, 50432, 52171, 50886, 54051, 50941, 52292, 78239, 51886, 50886, 52171, 71259, 52171, 50886, 54051, 54927, 51378, 51388, 51886, 51797, 52171, 53161, 52573, 77487, 54119, 52703, 53027, 50913, 60822, 51026, 51055, 50446, 54311, 50834, 51881, 50925, 51743, 50942, 51886, 51254, 52171, 51824, 51034, 54311, 51742, 51743, 51518, 51863, 78811, 54839, 52981, 50997, 52017, 50426, 52573, 56993, 52844, 52292, 56298, 52443, 60344, 54119, 53044, 52292, 75999, 52402, 50855, 51656, 50855, 51034, 51640, 51742, 52133, 51518, 52402, 51518, 52550, 65178, 54839, 52981, 53334, 56307, 51673, 50904, 52480, 51000, 53322, 55284, 61146, 52480, 50904, 53598, 66251, 51673, 50904, 52480, 55487, 52480, 50864, 53598, 50971, 53334, 50974, 71626, 50976, 51673, 50886, 52480, 71259, 52480, 50886, 53598, 54927, 51673, 51806, 52480, 52996, 52550, 68693, 54119, 52703, 55788, 51086, 52313, 50913, 60411, 50900, 51364, 50449, 52133, 50841, 52402, 50841, 51673, 50863, 52480, 50908, 51034, 52795, 51422, 51132, 51742, 52402, 51077, 52255, 65501, 54839, 52905, 52550, 56993, 52844, 50956, 50976, 53334, 56298, 52255, 51116, 51711, 51116, 53324, 60344, 54119, 57927, 51176, 51483, 50444, 53334, 64043, 56496, 50820, 51881, 50846, 51743, 50846, 51026, 51285, 50448, 52494, 51422, 52187, 50840, 51838, 50840, 51034, 54457, 51742, 52187, 50889, 51838, 50889, 52573, 65178, 54839, 52981, 52292, 56307, 51743, 50889, 52187, 50889, 53324, 55284, 52844, 50997, 51066, 52292, 56298, 51881, 51346, 51743, 51346, 52573, 68693, 54119, 52703, 59457, 51050, 51286, 66164, 60411, 53602, 50813, 53181, 50840, 51881, 51731, 50302, 51991, 51034, 52494, 51047, 51533, 51742, 51881, 51538, 51615, 51486, 50801, 54839, 52905, 53296, 56993, 52844, 52573, 56298, 54650, 50995, 52049, 60344, 54119, 53044, 52573, 50838, 51034, 53602, 51080, 51727, 51742, 53181, 51486, 51881, 51518, 53296, 65178, 54839, 52981, 52573, 56307, 53334, 55284, 52844, 51863, 51235, 50997, 50993, 52573, 56298, 61513, 51709, 53296, 51199, 50801, 54839, 54119, 62738, 51711, 51175, 50900, 50975, 50449, 54650, 50837, 53541, 50828, 51615, 50841, 51838, 51661, 50899, 51300, 51034, 54311, 50857, 51881, 50813, 52187, 53959, 54839, 65334, 54311, 51742, 51881, 51452, 51863, 51790, 50426, 52573, 56993, 52844, 52049, 65867, 52137, 51111, 50861, 61147, 52044, 60344, 54119, 62738, 51838, 51060, 50899, 60815, 52049, 64043, 52033, 50820, 51711, 50839, 51711, 51623, 50900, 51407, 50448, 52402, 50813, 51656, 50862, 51034, 51640, 51742, 52133, 51518, 52402, 51692, 52550, 65178, 54839, 52981, 53334, 56307, 51673, 50904, 52480, 51000, 53322, 55284, 61146, 52480, 50904, 53598, 66251, 51673, 50864, 52480, 55286, 52480, 50886, 53598, 50941, 53334, 78239, 51673, 50886, 52480, 71259, 52480, 50886, 53598, 54927, 51863, 51060, 50997, 50976, 51673, 51330, 52480, 52011, 52550, 68693, 54119, 52703, 53027, 51711, 58753, 62736, 50835, 51034, 54311, 51742, 53181, 50841, 51615, 50839, 51881, 51518, 51863, 51518, 51838, 53753, 50899, 53898, 51565, 50863, 51827, 55259, 54839, 52905, 52573, 56993, 52844, 52049, 56298, 52044, 60344, 54119, 53044, 52049, 50838, 51034, 51181, 51742, 53181, 51518, 51615, 51518, 52573, 65178, 54839, 52981, 52049, 56307, 51565, 50904, 51827, 51000, 52443, 55284, 61146, 51686, 50904, 51673, 66251, 51565, 50904, 51827, 55487, 51686, 50864, 51673, 50971, 52049, 78239, 51565, 50886, 51827, 71259, 51838, 51111, 50899, 50976, 51686, 50886, 51673, 54927, 51565, 51806, 51827, 52996, 52573, 56858, 54119, 52703, 60362, 52340, 51111, 50956, 60815, 50913, 58145, 52133, 50841, 51656, 50841, 52036, 73076, 51870, 51686, 50863, 51673, 50908, 51034, 52795, 52644, 51132, 51742, 53389, 50841, 51743, 50841, 52133, 51077, 51656, 65501, 54839, 52905, 52550, 56993, 52844, 52292, 50974, 50437, 51838, 51060, 50899, 61147, 51743, 50889, 51711, 50889, 51975, 60344, 54119, 53044, 52036, 51100, 50871, 50976, 52292, 50838, 51034, 51338, 51742, 51838 ]
[ 0, 250, 765, 37903, 9, 3495, 930, 11, 274, 538, 6, 4246, 10, 881, 33215, 13931, 9, 274, 401, 6, 272, 6, 274, 73, 347, 6, 1918, 6, 8, 211, 12361, 4, 590, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 19448, 8, 3722, 5466, 6, 10686, 13, 304, 11, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50997, 51492, 50871, 51492, 50861, 51492, 50902, 51492, 51146, 51492, 50796, 53975, 51492, 50916, 51492, 50861, 51492, 50876, 51492, 51062, 51492, 50796, 54197, 51492, 50871, 51492, 50906, 51492, 50931, 51492, 50796, 54868, 51492, 51050, 51492, 50899, 51492, 50877, 51492, 50902, 51492, 50796, 50796, 50796, 54955, 50800, 51214, 51492, 56978, 52765, 50900, 52262, 50956, 52831, 50956, 52513, 50956, 51757, 50899, 50800, 54955, 51835, 51026, 52765, 51027, 52262, 50997, 52831, 50997, 52513, 50997, 51757, 51027, 50800, 54955, 50800, 52046, 51492, 56978, 52765, 50900, 52262, 50956, 52831, 50956, 52513, 50956, 51757, 50899, 50800, 54955, 51835, 51026, 52765, 50900, 52262, 50861, 52831, 50861, 52513, 50861, 51757, 50871, 54139, 50871, 52485, 50871, 53793, 50871, 50809, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]