benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 15352, 30054, 11057, 1011, 625, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 483, 7513, 30, 41, 21979, 9590, 8, 21072, 4, 20, 2214, 7630, 6568, 10, 1372, 8, 19448, 6711, 6, 19, 10, 11602, 9, 1619, 4780, 4, 85, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6543, 8, 16, 278, 11, 5, 762, 9, 274, 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 ]	[ 54458, 51755, 53106, 54928, 50856, 51051, 74354, 51025, 50876, 51377, 50931, 51346, 50871, 51255, 50899, 51534, 50421, 51140, 59606, 51851, 50425, 51140, 51466, 52653, 50804, 51862, 50432, 50856, 51051, 50433, 50804, 52059, 50801, 51998, 50434, 51147, 51294, 51001, 51204, 50965, 51191, 51028, 51351, 50989, 50981, 50436, 51248, 50397, 50443, 51140, 55924, 51851, 50447, 51140, 51333, 52653, 50903, 51806, 50455, 50877, 64924, 51419, 50801, 50360, 51024, 54553, 53553, 50861, 74826, 60138, 52025, 57268, 53106, 54928, 52177, 51140, 50886, 57493, 63272, 73768, 51140, 51330, 52653, 50804, 67836, 50989, 51380, 75417, 51114, 51056, 51028, 51253, 51001, 51380, 50801, 50358, 51002, 52059, 50856, 72435, 50916, 54228, 51361, 51051, 50439, 51140, 50886, 60409, 51851, 50443, 51140, 51365, 50903, 51806, 52653, 54141, 79626, 50931, 62141, 66813, 77798, 54835, 61212, 65126, 54928, 50461, 51389, 51108, 57126, 50854, 69429, 50900, 56897, 50851, 51402, 50959, 50425, 50801, 51998, 50428, 51098, 51142, 50902, 53156, 72153, 51051, 78414, 52946, 80035, 50900, 51550, 50439, 51668, 50851, 62389, 62094, 51086, 50912, 70795, 51028, 57261, 51806, 52653, 50856, 60333, 51150, 52996, 50916, 54228, 50989, 51775, 50801, 53106, 54928, 50856, 51051, 50451, 50997, 53096, 50461, 52653, 50856, 51051, 52591, 51098, 60776, 51705, 50827, 50965, 52136, 50871, 53577, 51040, 54211, 50801, 50358, 51024, 65173, 50956, 61124, 50424, 51140, 54590, 50301, 74478, 54928, 50856, 71666, 50903, 51806, 52653, 50856, 51051, 50439, 51461, 51297, 50443, 52659, 50874, 50861, 58059, 50360, 51024, 54553, 51126, 50445, 66908, 50446, 52157, 51965, 50801, 53106, 51248, 50797, 51051, 51206, 52179, 50447, 50871, 53674, 50455, 71773, 50457, 52653, 50856, 51051, 52177, 50801, 50358, 51024, 54711, 51560, 51852, 54928, 50856, 51051, 50421, 50902, 51003, 50431, 50903, 51806, 52653, 50856, 51051, 50439, 51560, 56029, 50360, 51024, 74787, 62198, 50442, 51273, 53697, 50801, 53106, 54928, 50856, 51051, 57428, 51008, 51382, 51252, 50453, 51522, 51709, 50989, 52415, 50314, 50978, 52653, 50856, 71105, 50900, 51470, 50461, 50801, 50358, 51024, 50851, 51809, 51098, 54344, 50900, 51524, 50902, 51142, 54928, 50856, 51051, 74850, 51862, 70742, 50427, 51668, 69136, 51008, 50903, 51806, 52653, 50856, 51051, 50428, 51086, 53130, 50321, 68250, 50984, 50871, 55811, 55957, 53269, 51150, 53164, 50318, 51000, 54928, 50856, 51051, 50439, 51001, 62847, 55574, 50877, 55574, 50997, 53892, 50899, 55765, 50440, 50968, 51423, 56576, 70936, 52653, 50856, 51051, 50457, 51098, 50907, 50902, 53617, 51998, 50459, 50916, 56563, 50877, 56563, 50997, 56458, 50460, 51493, 52136, 54928, 50856, 51051, 50461, 72991, 51601, 59715, 50418, 50968, 51123, 50421, 50902, 63285, 50903, 51806, 52653, 50856, 51051, 50424, 50968, 51423, 50431, 51140, 51423, 77431, 51422, 55481, 53106, 54928, 50856, 51051, 50442, 50997, 50984, 50956, 59002, 52653, 50856, 51051, 56222, 70738, 50906, 60554, 54021, 50827, 53691, 54036, 50358, 51024, 54622, 53240, 80095, 50866, 54928, 50856, 51051, 51601, 50989, 52378, 50416, 51150, 51365, 50956, 52996, 50417, 51027, 58576, 50419, 50876, 51006, 50903, 51806, 52653, 50856, 77946, 51140, 54848, 50427, 51522, 53529, 50305, 54715, 50360, 51024, 64756, 51261, 53697, 60714, 50931, 52482, 50431, 51028, 53111, 72153, 51051, 50433, 50902, 54137, 72529, 50439, 50899, 51269, 50442, 51493, 52056, 52653, 50856, 51051, 50449, 50801, 50358, 51024, 53567, 50871, 60554, 51560, 52256, 51040, 52136, 67692, 54928, 62373, 50460, 50906, 50857, 51809, 50903, 51806, 52653, 50856, 51051, 50419, 50861, 55754, 51273, 62055, 62763, 51273, 54228, 73306, 54928, 50856, 51051, 55481, 51252, 51570, 62718, 51051, 50445, 51522, 50851, 50906, 62465, 60812, 50900, 50972, 50449, 51098, 53096, 50871, 53130, 50318, 50912, 54928, 50856, 63234, 50801, 79530, 50931, 50866, 50460, 51668, 51534, 73754, 56963, 51086, 51058, 50903, 51806, 52653, 50856, 51051, 53069, 50801, 52794, 53158, 54252, 51705, 51297, 51150, 51123, 50902, 52048, 50951, 60540, 58556, 50313, 55036, 50302, 53697, 50801, 53106, 54928, 62373, 50434, 51098, 51123, 51461, 53164, 50323, 50917, 52653, 50856, 51051, 68959, 50358, 51024, 63540, 51493, 53697, 50916, 52598, 50997, 54532, 50877, 54557, 50951, 54196, 72153, 51051, 50448, 51147, 54939, 50951, 71105, 50931, 55293, 51098, 52996, 50903, 51806, 52653, 50856, 51051, 50457, 50951, 51100, 51601, 50801, 52794, 50416, 50856, 59010, 75660, 51062, 51295, 50418, 50951, 51851, 50419, 51140, 53280, 50801, 53106, 54928, 62373, 50421, 50999, 51961, 50428, 50997, 51269, 50861, 54731, 50307, 62618, 52653, 50856, 71666, 63095, 50437, 51216, 71747, 53106, 50438, 50968, 55921, 51051, 50441, 51261, 51550, 51668, 52441, 51001, 51328, 54928, 62373, 50448, 51224, 52167, 50449, 50965, 52666, 50305, 52666, 50307, 51000, 50452, 50903, 51806, 52653, 50856, 72647, 51522, 74068, 54146, 50856, 51051, 51601, 51261, 55812, 51787, 50921, 51081, 51623, 51405, 51896, 52052, 77598, 53106, 50804, 51709, 54928, 51206, 51862, 50416, 50900, 51244, 50956, 51675, 65218, 51176, 51591, 50418, 51487, 51047, 53951, 54691, 51302, 56373, 52653, 50856, 51051, 50433, 51930, 60600, 53106, 50856, 51051, 50437, 56864, 51749, 54928, 50856, 68982, 51224, 53106, 50448, 50903, 51806, 52653, 50856, 51051, 50455, 50801, 56373, 50856, 72647, 55616, 52618, 54928, 50856, 51051, 53069, 51040, 52995, 54711, 50906, 62614, 76962, 53096, 50956, 58640, 54021, 61887, 52653, 50856, 75912, 50956, 57094, 52858, 50318, 51455, 50300, 50974, 50430, 50801, 51998, 50433, 51793, 55574, 54928, 50856, 68630, 75337, 50900, 55505, 50306, 65721, 52192, 50435, 51176, 51365, 50444, 51261, 52996, 51081, 70571, 51806, 52653, 50856, 51051, 50445, 50899, 51172, 50861, 52363, 50322, 51514, 50303, 63422, 52169, 50300, 69138, 53131, 50319, 51365, 50455, 51930, 52482, 50801, 53106, 54928, 50856, 63234, 50900, 52059, 50999, 51412, 50931, 51753, 50871, 54836, 50902, 52063, 50906, 52858, 50299, 51884, 51601, 50804, 51252, 50418, 52653, 50856, 51051, 50425, 51705, 51258, 50931, 52762, 50801, 50358, 51024, 56552, 51098, 54590, 50311, 54521, 50876, 55812, 50899, 55812, 50999, 52207, 51051, 62373, 50430, 51081, 50978, 50433, 50999, 68522, 72310, 50440, 50861, 53024, 50903, 51806, 52653, 50856, 68982, 50951, 52513, 51560, 50912, 50999, 64598, 62373, 50451, 51273, 55036, 50323, 51518, 54928, 50856, 56573, 50871, 70567, 59220, 50851, 56451, 51199, 52653, 50856, 51051, 50419, 50877, 62488, 50876, 55401, 51998, 50425, 51098, 56615, 51028, 54042, 72153, 68630, 50965, 51753, 51086, 53726, 50871, 55584, 50436, 51668, 70024, 59355, 51806, 52653, 50856, 77302, 51150, 54228, 51001, 61579, 52441, 50876, 54590, 50311, 55574, 50997, 54848, 50801, 53106, 54928, 50856, 51051, 50455, 50804, 51252, 50458, 52653, 50856, 51051, 52177, 73057, 50418, 50956, 59244, 50835, 50997, 71073, 50358, 51024, 68483, 51461, 54228, 50902, 51277, 67136, 50956, 50907, 54928, 50856, 51051, 66345, 51123, 50428, 50956, 55863, 51001, 59244, 52518, 50431, 50997, 51998, 64551, 50984, 50931, 51328, 50903, 51806, 52653, 50856, 51051, 50436, 51261, 50941, 50439, 51216, 51524, 50440, 51001, 69303, 51954, 50305, 71015, 76065, 51522, 51645, 50801, 53106, 54928, 50856, 60333, 66908, 51040, 51008 ]
[ 0, 250, 765, 3495, 2214, 11, 12608, 538, 19, 10, 19448, 8, 3722, 16464, 6, 8668, 12049, 9, 657, 149, 63, 15352, 30054, 15229, 4, 85, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 19, 10, 33215, 16739, 9, 272, 119, 6, 2060, 6, 163, 428, 401, 6, 230, 119, 6, 8, 163, 428, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50900, 61579, 61579, 51517, 50300, 51080, 61104, 58194, 61306, 54498, 50956, 61306, 66743, 51080, 51176, 51592, 56415, 50932, 56178, 61306, 58327, 50932, 53523, 61579, 58794, 58327, 54498, 51040, 72110, 58194, 59478, 54980, 51050, 72110, 61306, 61306, 50932, 55881, 61579, 58327, 51283, 50861, 62666, 51197, 72110, 55665, 50906, 52718, 51050, 51080, 50965, 77132, 51592, 50965, 51243, 55881, 58794, 54869, 51360, 71117, 58194, 54498, 51085, 51080, 51176, 51080, 50956, 51080, 50965, 51080, 57190, 61306, 51080, 56546, 54498, 50900, 61306, 66985, 51080, 51176, 51592, 50450, 51040, 59478, 50932, 56178, 58327, 66985, 50932, 53523, 61579, 61306, 66985, 54498, 51040, 72110, 60700, 61306, 51080, 55895, 61579, 66985, 50932, 54955, 51283, 50956, 51283, 50906, 51283, 51001, 79309, 51176, 60420, 59316, 55512, 52718, 50956, 67835, 51592, 50956, 51243, 50906, 51243, 54578, 51080, 62144, 54498, 50956, 51592, 50861, 51592, 50906, 51592, 50906, 51592, 50796, 55203, 61306, 66985, 51080, 51001, 51080, 64057, 58794, 50932, 58526, 58194, 51517, 50324, 51283, 51147, 51283, 56759, 58794, 55665, 50931, 57643, 52718, 50965, 62447, 51243, 51001, 51243, 51001, 51243, 56222, 51080, 55746, 50956, 54498, 51176, 69711, 58327, 60700, 54980, 50956, 51517, 50300, 66743, 51080, 51001, 51080, 54578, 54869, 51176, 69711, 58327, 58327, 54498, 50876, 51283, 51040, 68026, 51080, 50965, 51080, 50456, 50906, 50838, 57190, 61306, 72110, 51080, 50916, 51080, 62144, 61306, 54498, 51360, 72110, 58194, 59478, 54980, 51360, 51592, 51040, 51592, 50871, 51592, 50965, 51592, 61627, 51360, 51517, 50300, 58194, 61306, 54980, 51085, 51592, 51176, 51592, 50956, 51592, 50965, 51592, 61627, 51360, 51517, 50300, 72110, 58194, 54980, 51197, 51592, 51026, 51592, 50900, 51592, 50956, 51592, 61627, 51197, 51080, 51026, 77132, 51080, 50956, 51080, 53975, 58194, 61306, 71445, 51080, 61104, 61306, 65521, 54498, 51197, 51080, 50956, 51080, 50965, 66743, 51080, 55881, 61579, 58794, 58327, 54869, 51197, 51517, 50300, 61306, 58327, 54498, 50906, 59478, 71445, 51080, 51040, 66405, 50965, 61306, 50932, 56178, 58327, 51283, 51197, 67835, 51080, 61104, 55665, 50906, 52718, 51176, 51243, 80141, 50956, 51243, 50965, 51243, 61627, 51176, 77132, 51080, 50956, 51080, 50965, 51080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 182, 1769, 8, 765, 37903, 9, 5175, 3495, 930, 11, 230, 538, 6, 4246, 10, 13305, 816, 10, 881, 13931, 9, 230, 6, 274, 6, 274, 10431, 37152, 6, 1918, 6, 8, 230, 119, 40286, 6, 2351, 41, 20425, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 65919, 51876, 50995, 51578, 51283, 51837, 76906, 51876, 61271, 51578, 51079, 51837, 54137, 51876, 51097, 52381, 50972, 52461, 55200, 51578, 51079, 51837, 54323, 51876, 51097, 51948, 50972, 52353, 54509, 51578, 51965, 51837, 51318, 64680, 58187, 51708, 51097, 51435, 51108, 51578, 56656, 51708, 51097, 51639, 51108, 51516, 57105, 51708, 51097, 51275, 51108, 51435, 50995, 65364, 50995, 51308, 51283, 51275, 78046, 51706, 61271, 51308, 51079, 51275, 54137, 50638, 51706, 51097, 51119, 50972, 51777, 69151, 50638, 50444, 50638, 51308, 51079, 51275, 61554, 50638, 50450, 50638, 51706, 51097, 51777, 50972, 51489, 67763, 50638, 50456, 50638, 51275, 51965, 51435, 51318, 50459, 50638, 65919, 52040, 58187, 52040, 51097, 51275, 51108, 51435, 56656, 50638, 52040, 51097, 51777, 51108, 51489, 77052, 50638, 50444, 50638, 50447, 50638, 50450, 50638, 51706, 51097, 51308, 51108, 51275, 73959, 50638, 50456, 50638, 50459, 50638, 65919, 51708, 50995, 51119, 51283, 51153, 78046, 51708, 61271, 51275, 51965, 51435, 51318, 50438, 51708, 59124, 51708, 51097, 51435, 51637, 51578, 51318, 74421, 60726, 51578, 51965, 51837, 76906, 52477, 57937, 52477, 51097, 51516, 51108, 51948, 57105, 52477, 51097, 51435, 51108, 51578, 50995, 65237, 50995, 51516, 50838, 51948, 55041, 51435, 51079, 51578, 54335, 51869, 51097, 51099, 50972, 51153, 54342, 51119, 51079, 51777, 54137, 50638, 51869, 50974, 51308, 50972, 51275, 69151, 50638, 50444, 50638, 51706, 50838, 51435, 51330, 51578, 50995, 50447, 50638, 50450, 50638, 52040, 70184, 50638, 50456, 50637, 51280, 50838, 51489, 51079, 51516, 60864, 50637, 52177, 50638, 50420, 51280, 50838, 51489, 51079, 51837, 54335, 51198, 50974, 51435, 50974, 51837, 53052, 51561, 50838, 52070, 50974, 51837, 52718, 51232, 50974, 51516, 51108, 51837, 59242, 51280, 52985, 51869, 51097, 59649, 50995, 51435, 51283, 51578, 78046, 51876, 61271, 51489, 51079, 52381, 54137, 51876, 51097, 51435, 50972, 51578, 55200, 51516, 51079, 51948, 54323, 51876, 51097, 52381, 50972, 52461, 54509, 51578, 52783, 51837, 51803, 79921, 58187, 52746, 57937, 52746, 51097, 51516, 51108, 52353, 57105, 52746, 51097, 51578, 51108, 52778, 50995, 62404, 50995, 51948, 51283, 52709, 78046, 52176, 61271, 51435, 51965, 52353, 51318, 50438, 52176, 59124, 52176, 51097, 51275, 51108, 51435, 50995, 78323, 50995, 51435, 51080, 51837, 72440, 53646, 57937, 53646, 51097, 51777, 51314, 51948, 77307, 53646, 51097, 64680, 50995, 51153, 51283, 51578, 78046, 51708, 61271, 51435, 51965, 52353, 51318, 50438, 52477, 59124, 52477, 51097, 51578, 51108, 52709, 50995, 65237, 50995, 51948, 50838, 55165, 55041, 51578, 51079, 52709, 54335, 51869, 51097, 51435, 50972, 52353, 54342, 52070, 51079, 53629, 54137, 51280, 51097, 51516, 50972, 52778, 55200, 51578, 51079, 52709, 54323, 51280, 51097, 51948, 51108, 53519, 50995, 78323, 50905, 51578, 50838, 52709, 55041, 53646, 50838, 51578, 51079, 52709, 56307, 53646, 50974, 51578, 50974, 52709, 53052, 52746, 50932, 51948, 51097, 52709, 56350, 52746, 50932, 51516, 51097, 52709, 56109, 52746, 50838, 51948, 50974, 52709, 50838, 59649, 50995, 51578, 50932, 52709, 58326, 51876, 51097, 51119, 51108, 51435, 50995, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 182, 765, 37903, 9, 5175, 15855, 930, 4246, 10, 13305, 6, 278, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 182, 1769, 20889, 9, 8963, 13410, 228, 2289, 6, 7630, 14805, 10, 11739, 9, 25306, 6, 15352, 30054, 6, 20425, 6, 2933, 6, 8, 1372, 6711, 29, 624, 63, 33744, 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 ]	[ 71691, 51220, 54869, 50951, 56350, 51062, 52985, 51220, 53581, 50999, 50838, 56229, 54177, 50999, 52688, 51220, 52718, 51062, 53624, 51062, 54980, 51220, 56109, 51062, 50932, 52591, 51220, 55665, 50999, 56109, 50902, 50932, 52591, 50951, 52688, 50951, 53052, 50951, 54498, 51114, 53624, 50968, 50838, 55331, 54177, 50951, 52688, 50951, 53052, 50951, 52718, 51114, 53624, 50968, 52985, 50902, 53581, 50999, 50838, 58479, 54177, 50951, 52688, 51114, 53052, 50951, 52718, 50999, 56350, 50951, 50838, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 13305, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 6, 657, 6, 8, 10, 11602, 9, 1619, 4780, 4, 20, 33215, 16739, 9, 3676, 6, 230, 6, 8, 211, 3639, 7, 63, 16634, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 66243, 73424, 51217, 50938, 50988, 62803, 53160, 50828, 51332, 53219, 50885, 50921, 50847, 50921, 50909, 50980, 50868, 51055, 50847, 51566, 51332, 52195, 58463, 75723, 50847, 53938, 50847, 73953, 79396, 51021, 50847, 51030, 50909, 76342, 51093, 59643, 65734, 50938, 72803, 59589, 50459, 51266, 50812, 51332, 71488, 50855, 70564, 58239, 51033, 50847, 51379, 50909, 51932, 50872, 51454, 50847, 51454, 51171, 51761, 50420, 51266, 58239, 67078, 50847, 53803, 51093, 58239, 50952, 62486, 50847, 50940, 50872, 51030, 50909, 60022, 51088, 51141, 72797, 50885, 50897, 63866, 65940, 50909, 57907, 51171, 70391, 53574, 50885, 51014, 50872, 51603, 50847, 76601, 51932, 50909, 51072, 51164, 51552, 58463, 57415, 51093, 57954, 51014, 50872, 51021, 50847, 51030, 72976, 50909, 58760, 51357, 50915, 56740, 50872, 55269, 53848, 51164, 64961, 50988, 52536, 64933, 53435, 50848, 54055, 76750, 53435, 50935, 54055, 50420, 51113, 50845, 51070, 52976, 51357, 54259, 51093, 51692, 51070, 53569, 51070, 55686, 51070, 54044, 69603, 50770, 50306, 56934, 51070, 51319, 59007, 50924, 50909, 51346, 74085, 51332, 51285, 51769, 53829, 53771, 50865, 50868, 62862, 52928, 53771, 66608, 51033, 50909, 51566, 80032, 50868, 51196, 50909, 51356, 50432, 53771, 70845, 56282, 53771, 50948, 69230, 51332, 51159, 68272, 50909, 67645, 53771, 56567, 68527, 51236, 52772, 53077, 50936, 50848, 50921, 50935, 51346, 51791, 51290, 50847, 51290, 51170, 52579, 53077, 51013, 61995, 59007, 50917, 50909, 51162, 50850, 51157, 51688, 64739, 53250, 51623, 67593, 51236, 52928, 50868, 58149, 51566, 50885, 51356, 50850, 51336, 50850, 51356, 50435, 50868, 53574, 69230, 51688, 51346, 50909, 65346, 66853, 51170, 52802, 50868, 50921, 50850, 51427, 50909, 51160, 51688, 50980, 50453, 51240, 53017, 76230, 59008, 52097, 50420, 53407, 79854, 59004, 52928, 53407, 73953, 51192, 50872, 51167, 50850, 51285, 50432, 53407, 59894, 53407, 50952, 67759, 50872, 51346, 51164, 51204, 50444, 53407, 62773, 75723, 51236, 52772, 53771, 51030, 50885, 51454, 50872, 51055, 50850, 51090, 51170, 52579, 53771, 51013, 51164, 50917, 57746, 52195, 50420, 53077, 51103, 50848, 61150, 52928, 50848, 51460, 50847, 51603, 50935, 56158, 50872, 51160, 50847, 51454, 50909, 51055, 51164, 67388, 60969, 51170, 52802, 50935, 50894, 51042, 50980, 50848, 51345, 50988, 51055, 50847, 58031, 50909, 51116, 51240, 50829, 59007, 50924, 50909, 51346, 74085, 51332, 51285, 51236, 56390, 51236, 53070, 53771, 50917, 51555, 68668, 55044, 50868, 62862, 55215, 54104, 51240, 52639, 53771, 50948, 51555, 50942, 50868, 51033, 50847, 51566, 50909, 51566, 50868, 51196, 50909, 51356, 51236, 53063, 53771, 50865, 51555, 50977, 50868, 56282, 53771, 50924, 51555, 50942, 69230, 51332, 51159, 68272, 50909, 67645, 53771, 50795, 51555, 55077, 68527, 51236, 52772, 53077, 50924, 51783, 50942, 50871, 53265, 50848, 50921, 50935, 51346, 51791, 51290, 50847, 51290, 51170, 52579, 51783, 51157, 61995, 50457, 53077, 51016, 59007, 50917, 50909, 51162, 50850, 51157, 51688, 64739, 53250, 51103, 52041, 51244, 50916, 53700, 67593, 51236, 52928, 50868, 58149, 51566, 50885, 51356, 50850, 51336, 50850, 51356, 50435, 50868, 53574, 69230, 51688, 51346, 50909, 65346, 66853, 51170, 52802, 50868, 50921, 50850, 51427, 50909, 51160, 51688, 50980, 50453, 51240, 53017, 76230, 59008, 52097, 50420, 53407, 50937, 51584, 66388, 54830, 50885, 59004, 52928, 53407, 50948, 51584, 50897, 50885, 51192, 50872, 51167, 50850, 51285, 50432, 53407, 50800, 51584, 56057, 53407, 50924, 51584, 50878, 67759, 50872, 51346, 51164, 51204, 50444, 53407, 50948, 51584, 50955, 67386, 50447, 51236, 58145, 51584, 59881, 53771, 78769, 51454, 50872, 51055, 50850, 51090, 51170, 52579, 53771, 51016, 51164, 50917, 50457, 51555, 62614, 51998, 50460, 51584, 62391, 51998, 57342, 50910, 68272, 50935, 51159, 50988, 51189, 50415, 51555, 51148, 50861, 55044, 50420, 53077, 51351, 60893, 51236, 52928, 61325, 50847, 51290, 50935, 51290, 50432, 61059, 50435, 50988, 69705, 50848, 50952, 50847, 51345, 50935, 76264, 53771, 72635, 54672, 50988, 65223, 53077, 72201, 51167, 50935, 51215, 50847, 51160, 50832, 53563, 53250, 51362, 50988, 50858, 50799, 52133, 51047, 51743, 51145, 51615, 52644, 64339, 50847, 51346, 50909, 51112, 51164, 51362, 51335, 51464, 53203, 63866, 65747, 52712, 53771, 56674, 51021, 50909, 51603, 50847, 51566, 55347, 54121, 52925, 53077, 51356, 51164, 50879, 72894, 50872, 53813, 53541, 51244, 51881, 51127, 50848, 57618, 51346, 50847, 51073, 50988, 51226, 51956, 51180, 54492, 50848, 59608, 52743, 50848, 51483, 50847, 51379, 50935, 51454, 55347, 54763, 53268, 50988, 50936, 72446, 53077, 59262, 50840, 55972, 50799, 52133, 50943, 52033, 50981, 53771, 50806, 51555, 54828, 56120, 50868, 50924, 50847, 51227, 50909, 51345, 51332, 51454, 51956, 50420, 53250, 50808, 66732, 65747, 58092, 52041, 50822, 50916, 51998, 50423, 53077, 51160, 50424, 51783, 51116, 50871, 55177, 50426, 53541, 50995, 51881, 51003, 50848, 51033, 50847, 51500, 50935, 51290, 51791, 51013, 58246, 54121, 52925, 53771, 69855, 50910, 51468, 50433, 51555, 69937, 51998, 50435, 53250, 51446, 50436, 52041, 51318, 50916, 52722, 50438, 53389, 51103, 52033, 51145, 51656, 51148, 50868, 50952, 76581, 50909, 51055, 51688, 51285, 51762, 66368, 50938, 72556, 50946, 50940, 51236, 52763, 50868, 79393, 51460, 50909, 51160, 62418, 56233, 55007, 50946, 73575, 66732, 51956, 50799, 52133, 51293, 51743, 51445, 51615, 52096, 51164, 51100, 50885, 51346, 50872, 51162, 71868, 51471, 50420, 53250, 50890, 65747, 53868, 51164, 78769, 63492, 53250, 79854, 51286, 50872, 51566, 50847, 51454, 50850, 51870, 55347, 54121, 52925, 53250, 51030, 51164, 51294, 72894, 50885, 53813, 53250, 62773, 50948, 50872, 51073, 75897, 51956, 50444, 56213, 51030, 73424, 78718, 51164, 50830, 51236, 52743, 53250, 51030, 50885, 50940, 50872, 66857, 51388, 50847, 51235, 55347, 54763, 54859, 51164, 66911, 53077, 51343, 50885, 50940, 72446, 50872, 50836, 50799, 53541, 51359, 51881, 51353, 50848, 51227, 50847, 51500, 50935, 51345, 50988, 51048, 50856, 52139, 78411, 52639, 50848, 51685, 50847, 52827, 50935, 52827, 50988, 52282, 50432, 53077, 58818, 53077, 50911, 50443, 65856, 69279, 53771, 52610, 53407, 57241, 54985, 51055, 51240, 54814, 51240, 50846, 54309, 52195, 51615, 52096, 51711, 52644, 50868, 50921, 50847, 51566, 50909, 51290, 51332, 51541, 52047, 51241, 51020, 51109, 51092, 51400, 51335, 53735, 51041, 53995, 53420, 53863, 51073, 67593, 69477, 50982, 57417, 52976, 50868, 76798, 51030, 50909, 51030, 51020, 51111, 51092, 51124, 51068, 51044, 52539, 52844, 53863, 50890, 51555, 50870, 51567, 60924, 70361, 52254, 66853, 58966, 70141, 52047, 50879, 69477, 58721, 53863, 50880, 51555, 50836, 51567, 50884, 51332, 70424, 56081, 51987, 54114, 51181, 50962, 53863, 50911, 51555, 50948, 51567, 56674, 51500, 50847, 51055, 50909, 51290, 51171, 51059, 51763, 61760, 51346, 51092, 51400, 52120, 51987, 53114, 51181, 51496, 53407, 50890, 51783, 50857, 51584, 62464, 71233, 52254, 58787, 55686, 53407, 51235, 51783, 51124, 51584, 51235, 50920, 52846, 50872, 56977, 51290, 50909, 51566, 51020, 51159, 51092, 51157, 51068, 51406, 53045, 53173, 53771, 50865, 52041, 50867, 51555, 65802, 76741, 52254, 51171, 50893, 51763, 50978, 58787, 56232, 52041, 51194, 51555 ]
[ 0, 250, 12298, 3495, 2214, 14, 7630, 6568, 5, 4780, 9, 1619, 6, 42, 2125, 16, 17407, 30, 63, 32076, 34879, 8, 8728, 223, 34693, 6, 2351, 10, 19448, 8, 1372, 5466, 4, 590, 10, 23667, 20889, 9, 18872, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 274, 538, 6, 5, 2214, 1575, 10, 20902, 3222, 5785, 227, 13305, 6, 6755, 12547, 6, 326, 5638, 18026, 6, 21072, 6, 8, 3459, 9590, 6, 70, 11491, 13871, 561, 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 ]	[ 54458, 50415, 51120, 52062, 50422, 51027, 53674, 50428, 50916, 53674, 50435, 50989, 51244, 50449, 51027, 51961, 50455, 50916, 51333, 50461, 55117, 51000, 57126, 51490, 50416, 50856, 56933, 51065, 65942, 50856, 53336, 52351, 50369, 50793, 50615, 51605, 50421, 51120, 52151, 50428, 51027, 51637, 50435, 50916, 52136, 50440, 50856, 60604, 50989, 71106, 51881, 53201, 50455, 51027, 51797, 55524, 51412, 50417, 51027, 51645, 50419, 55117, 58333, 51146, 53184, 51430, 75027, 51120, 51313, 51787, 50889, 52351, 63520, 51027, 51642, 50440, 50916, 51134, 50447, 51114, 64870, 51114, 51411, 51146, 51233, 50460, 51027, 50892, 51601, 51430, 50937, 50416, 51114, 50982, 50418, 50916, 51100, 50424, 71216, 55117, 63026, 51065, 71362, 55117, 71371, 50999, 51400, 51114, 51400, 51120, 51677, 50432, 52351, 59295, 54968, 51027, 51333, 50443, 51656, 51961, 65827, 53957, 50445, 50913, 51241, 60027, 51108, 50856, 60376, 50989, 53892, 50457, 51615, 51381, 51601, 51027, 50974, 50422, 61412, 50913, 51290, 50423, 52332, 51330, 50425, 51027, 70134, 52560, 77045, 50902, 75101, 50856, 62357, 50968, 50952, 51065, 58406, 50856, 76082, 51234, 61026, 51351, 50931, 51115, 52913, 56030, 50902, 50863, 51743, 52204, 50441, 50997, 64457, 50899, 51191, 50913, 51362, 50454, 50968, 63804, 55735, 58398, 50460, 50951, 59460, 50942, 50906, 50981, 53069, 50997, 51346, 50871, 51221, 50425, 50913, 51541, 50426, 50931, 55224, 70798, 55025, 54728, 50876, 51189, 50997, 52222, 69332, 51380, 52913, 67235, 50913, 51091, 50452, 50899, 51965, 50458, 73895, 57731, 50871, 50905, 50945, 50892, 50424, 50913, 59225, 60509, 51186, 60096, 51226, 50433, 57956, 50436, 51146, 50925, 51011, 60095, 53219, 51430, 68258, 64100, 50953, 52903, 54235, 50864, 51881, 51449, 50856, 69824, 51339, 51362, 50445, 51026, 51703, 64057, 51627, 50455, 50899, 51753, 63908, 74380, 50856, 51031, 54594, 51645, 50421, 50906, 51189, 53337, 64662, 50861, 53189, 73898, 66557, 52351, 50373, 53323, 63895, 58368, 50445, 51050, 51662, 50902, 51318, 50906, 65910, 51314, 52133, 51080, 50856, 64281, 52820, 70834, 50899, 51419, 50458, 50861, 50981, 50913, 50890, 51601, 52018, 51060, 50416, 75172, 50422, 53181, 51080, 50423, 50968, 50807, 51720, 70583, 50899, 51172, 72959, 57869, 66638, 51271, 58831, 51010, 50436, 50856, 51004, 50442, 51133, 51884, 50448, 51120, 52015, 50899, 74468, 51542, 50902, 51477, 51881, 52136, 50856, 61576, 51271, 51295, 50455, 51027, 51079, 50461, 50916, 51709, 50913, 50930, 53069, 63268, 50989, 51365, 52033, 51642, 50856, 53336, 52657, 51991, 50426, 51114, 51313, 50989, 52011, 52332, 51314, 74769, 53470, 50916, 65562, 50989, 51413, 55117, 65170, 51120, 52015, 50899, 50838, 52351, 50813, 51656, 51314, 50452, 51838, 50981, 50457, 51027, 50892, 50799, 52225, 51351, 50416, 50916, 51110, 52196, 51267, 53093, 51233, 50421, 50989, 73238, 51271, 50936, 50428, 50877, 51212, 51011, 51346, 51881, 53487, 53129, 51097, 52058, 51095, 50429, 52601, 51162, 50434, 51027, 50893, 50436, 53267, 57320, 52566, 51126, 50439, 52697, 67264, 50899, 51157, 53260, 50834, 51838, 50943, 50441, 53000, 50837, 55117, 50880, 52384, 51095, 50903, 63895, 54012, 51112, 50945, 50862, 53039, 59692, 51027, 78373, 53436, 59843, 54428, 63319, 51146, 50858, 53647, 56669, 51111, 50448, 54723, 69698, 51430, 50854, 51339, 54004, 55802, 62785, 51787, 78599, 53674, 51120, 51109, 51271, 51016, 55372, 51693, 52351, 52207, 55130, 75903, 57545, 50908, 51656, 51692, 52058, 51091, 50455, 57570, 51896, 50460, 51027, 59215, 50846, 52478, 50899, 67638, 53732, 53423, 51271, 60743, 50999, 50910, 51146, 50865, 53093, 51420, 52816, 60155, 50999, 51328, 51430, 50991, 53093, 51790, 50436, 51027, 50940, 51271, 51055, 58005, 50439, 56065, 51178, 50440, 69165, 51146, 50812, 51615, 51419, 50442, 50903, 56034, 72631, 50916, 50805, 50448, 53883, 50910, 51011, 50873, 55117, 60374, 51147, 50820, 51114, 67095, 51090, 50843, 67509, 55117, 62564, 52332, 51742, 50455, 57570, 51541, 51271, 51541, 52351, 52411, 51864, 54450, 51120, 51241, 50461, 63360, 56310, 50995, 50416, 52058, 51212, 57340, 51097, 50843, 72185, 65602, 50989, 51484, 50425, 52384, 57629, 54012, 50858, 55117, 54739, 51864, 60760, 64001, 51271, 56629, 51656, 51591, 50843, 56748, 52351, 50809, 52698, 50991, 50434, 52601, 51446, 51570, 57014, 51120, 59537, 50854, 51271, 64733, 52058, 51377, 50852, 62746, 75568, 51027, 50910, 52560, 61925, 50899, 65170, 60537, 51271, 50893, 50452, 50843, 57637, 58368, 50458, 50902, 51961, 50906, 51542, 50931, 51961, 51234, 50892, 51186, 51191, 53181, 52204, 51863, 51243, 52339, 62343, 52374, 57841, 52032, 52069, 52913, 50883, 51809, 50852, 56933, 50997, 59329, 50903, 59214, 50843, 64527, 50899, 51391, 50428, 62113, 58146, 50968, 50933, 50871, 51961, 51186, 58779, 53456, 51359, 77431, 51008, 64993, 61385, 50906, 52454, 50323, 51199, 51572, 66331, 50997, 51884, 51186, 73128, 50852, 62794, 79738, 50899, 74056, 50995, 50454, 51996, 50925, 55025, 67010, 50871, 52441, 50945, 74671, 64961, 50906, 51293, 51186, 51091, 52036, 52151, 50791, 54906, 51010, 55435, 52783, 52601, 51310, 52913, 64523, 50852, 54031, 50899, 52063, 55057, 56171, 50871, 52063, 50903, 52975, 50899, 51097, 51947, 51864, 61361, 51836, 50874, 51186, 53690, 67166, 52339, 68075, 63337, 50871, 58483, 52032, 51124, 50445, 50997, 50977, 50446, 51186, 55271, 60376, 50899, 59844, 54060, 52225, 51097, 50452, 51011, 51056, 55117, 50864, 53093, 51116, 50903, 52702, 54085, 52196, 51255, 50457, 51027, 53529, 50318, 50940, 55779, 53902, 50852, 62519, 61097, 51601, 50902, 51318, 50931, 51218, 54235, 51000, 53817, 52204, 51863, 52727, 51838, 51801, 50416, 51026, 52071, 50906, 51191, 50953, 51091, 53266, 78711, 52853, 55265, 51946, 51148, 62074, 53423, 75482, 50428, 50852, 55212, 50899, 63096, 65625, 50871, 51709, 50435, 58368, 50906, 50908, 50953, 50981, 53583, 56262, 76521, 50440, 50906, 74478, 50441, 52196, 51562, 52058, 51945, 50843, 65809, 50951, 51115, 79043, 50925, 50448, 51011, 70007, 67641, 50899, 52454, 50302, 52482, 50791, 64116, 57841, 51186, 51060, 50460, 58529, 50931, 51121, 50852, 67327, 67695, 52478, 52032, 50914, 51271, 51204, 52430, 51314, 50791, 61993, 51050, 51592, 50951, 51145, 50906, 51592, 50798, 51031, 50425, 50997, 53486, 50843, 75347, 50899, 51703, 52601, 51162, 50852, 52975, 50903, 51031, 50436, 52148, 59321, 50871, 53674, 51271, 50854, 51570, 59575, 50798, 78684, 51866, 51477, 50444, 50931, 52378, 56065, 51056, 52657, 51016, 52137, 51314, 50843, 51031, 61695, 61376, 50968, 53892, 50852, 61612, 53883, 51159, 52018, 51090, 63474, 50961, 51601, 50902, 51000, 51866, 56661, 60879, 51271, 51623, 53129, 54573, 50791, 70394, 51120, 53486, 50877, 52598, 57570, 51358, 52430, 52431, 52698, 54788, 62231, 50989, 56374, 50428, 51027, 51166, 50852, 50948, 50431, 52058, 50972, 50434, 50843, 55486, 50916, 54344, 50903, 60032, 52384, 50933, 66651, 59120, 50989, 53280, 52351, 57515, 53675, 52351, 56377, 50852, 60044, 50877, 51490, 52698, 51134, 50453, 51027, 51166, 51011, 57837, 61807, 52601, 51060, 50457, 52137, 52256, 52225, 51679, 50459, 50916, 52518, 50903, 51010, 50460, 55117, 71621, 50883, 51809, 54012, 73362, 50989, 51737, 50418, 51011, 50873, 52058, 56395, 53423, 51838, 54373, 50424, 51120, 52168, 52601, 51241, 52351, 51000, 53129 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 17407, 30, 63, 8728, 8, 19448, 5466, 4, 20, 13305, 1239, 5, 483, 6, 17769, 5, 30443, 149, 10, 21844, 3251, 9, 657, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 2125, 3136, 23, 10, 16634, 178, 5285, 2877, 4, 20, 33215, 16739, 9, 83, 406, 6, 211, 6, 83, 406, 6, 8, 211, 401, 3639, 7, 5, 2214, 18, 36355, 2088, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50626, 51214, 51592, 51026, 71169, 51592, 50951, 51592, 51220, 51592, 51146, 51592, 51487, 51592, 53337, 54498, 50861, 70713, 54980, 51324, 51592, 51086, 51517, 50303, 51592, 50951, 51080, 51220, 51080, 51405, 51080, 51487, 51080, 50462, 50956, 58794, 70713, 50932, 50474, 51279, 72388, 51517, 50322, 51517, 50327, 51517, 50331, 51517, 50334, 50932, 51540, 51214, 51592, 51026, 71169, 51592, 50968, 51592, 51220, 51592, 51430, 51592, 56248, 54498, 50861, 70713, 54980, 51360, 51592, 51040, 51592, 50861, 51592, 50906, 51592, 50968, 50932, 50462, 51114, 50932, 50474, 50968, 50932, 51540, 50625, 51120, 52826, 50899, 51592, 50861, 51592, 50973, 51592, 50968, 54869, 50625, 50902, 54498, 50624, 50973, 54980, 51086, 51517, 50303, 51592, 50861, 58794, 51592, 78092, 70713, 50932, 50474, 51086, 60473, 50932, 51540, 51279, 51592, 51027, 51592, 50861, 51592, 50876, 55116, 51001, 51592, 50450, 51120, 51243, 50899, 51243, 50989, 51243, 50902, 51243, 51474, 80212, 51026, 52826, 51086, 79193, 51592, 50861, 51080, 50973, 60473, 54980, 50902, 65300, 50932, 78092, 51592, 50951, 51517, 50327, 50932, 50474, 51086, 67835, 51080, 51220, 51517, 50330, 50932, 51540, 50902, 54869, 50997, 72110, 65300, 77404, 54498, 51026, 51517, 50303, 63030, 65300, 51517, 50327, 54980, 50916, 50932, 78092, 50932, 50474, 51026, 58194, 70713, 70713, 60473, 50932, 51540, 50877, 54869, 51026, 58194, 58794, 58794, 70713, 54498, 51085, 51592, 50900, 51592, 50916, 58794, 58794, 66743, 54980, 50861, 51243, 50968, 51080, 50951, 51080, 50462, 50877, 50932, 50474, 51324, 51080, 51086, 51080, 50973, 51592, 50968, 65300, 51080, 51540, 51001, 62666, 51279, 72388, 69711, 51517, 50322, 54498, 51214, 51080, 51026, 51080, 50916, 51592, 50968, 51592, 56222, 70713, 50932, 50462, 51315, 65377, 51592, 50861, 70713, 50932, 50474, 51360, 51592, 51040, 51592, 50861, 51592, 50906, 51592, 50968, 50932, 51540, 51114, 54869, 50916, 62722, 54498, 51120, 52826, 50899, 52826, 50861, 51592, 50973, 51080, 50973, 51080, 50968, 54980, 50902, 50932, 50462, 50906, 59478, 65521, 50932, 50474, 50989, 59219, 59219, 58327, 50932, 51540, 50861, 58794, 70713, 54869, 50989, 69711, 59219, 54498, 51799, 51517, 50294, 63030, 69711, 58327, 60473, 60473, 54980, 50876, 50932, 50462, 50973, 50932, 50474, 50900, 63030, 69711, 59219, 59219, 60473, 50932, 51540, 50973, 54869, 50877, 54498, 51086, 51592, 50899, 51801, 50899, 51801, 50861, 51592, 50444, 51028, 52985, 50902, 53581, 50973, 50838, 50462, 50902, 50838, 50468, 50968, 50838, 50474, 51027, 51592, 50900, 51592, 50989, 51592, 51114, 50838, 50480, 50931, 50838, 51540, 51114, 54177, 50999, 52688, 51146, 53052, 51062, 53720, 51062, 52788, 51026, 51592, 51086, 51592, 50861, 51592, 51220, 53624, 51146, 52985, 51220, 53581, 50951, 50838, 50462, 50902, 50838, 50468, 50973, 50838, 50474, 51324, 51592, 51086, 51592, 50871, 51592, 50965, 51592, 50902, 50932, 51540, 50902, 50932, 53337, 60473, 54498, 51085, 51592, 50900, 51592, 50956, 51592, 50871, 59219, 66985, 54980, 50871, 50932, 50462, 50877, 66985, 50932, 50474, 51247, 51592, 51050, 51592, 50871, 75656, 66985, 60700, 50932, 51540, 50871, 51080, 56207, 66985, 60700, 54498, 51247, 71445, 62447, 58194, 59219, 66985, 60700, 54980, 50899, 50932, 50462, 50956, 50932, 50474, 51247, 71445, 58194, 59219, 66985, 60700, 50932, 51540, 50861, 54869, 50877, 54498, 51234, 52826, 50997, 58794, 51592, 50906, 52062, 50902, 52062, 50951, 51592, 50450, 51120, 53581, 51050, 50838, 50462, 50997, 50838, 50468, 50900, 50838, 50474, 50899, 58194, 51592, 50931, 50838, 50480, 50906, 50838, 51540, 50902, 54177, 50931, 52688, 50951, 53052, 50999, 52718, 51214, 51592, 51026, 51592, 50906, 51592, 50906, 51243, 50902, 51592, 50951, 51592, 51081, 51592, 50474, 51315, 51080, 50916, 75489, 51080, 51028, 51080, 50951, 51080, 51081, 51080, 51540, 50906, 54869, 51360, 72110, 59478, 59478, 62722, 65300, 77404, 54498, 51120, 52826, 51026, 52826, 50899, 53233, 50973, 70713, 51592, 50973, 51592, 50902, 65300, 51517, 50327, 54980, 50951, 50932, 50462, 50973, 51243, 50474, 50899, 51592, 50902, 50932, 51540, 50951, 54869, 50973, 51517, 50327, 54498, 51120, 51592, 50899, 51592, 50877, 66743, 51517, 50322, 70453, 54980, 50877, 66743, 51517, 73864, 50462, 50989, 58327, 60473, 50932, 50474, 51120, 51592, 50900, 51592, 50899, 69711, 58327, 50932, 51540, 50900, 51080, 50989, 75656, 54869, 50906, 54498, 51026, 51517, 50303, 51517, 50303, 53233, 50899, 58794, 70713, 54980, 50861, 53581, 50973, 50838, 50462, 50902, 50838, 50468, 51028, 50838, 50474, 51086, 51592, 50899, 67835, 51080, 50973, 75657, 50838, 50480, 50968, 50838, 51540, 50902, 54177, 51114, 52688, 51086, 79193, 58794, 70713, 65300, 53052, 50999, 52718, 51026, 51517, 50303, 79193, 58794, 51517, 50327, 53624, 50902, 52985, 50951, 53581, 51220, 50838, 50462, 51146, 50838, 50468, 51487, 50838, 50474, 51026, 51517, 50303, 63030, 58794, 51517, 50339, 50932, 51540, 50861, 70713, 60473, 50932, 53337, 54498, 50916, 51592, 50861, 51592, 50876, 51592, 50968, 51592, 56279, 63030, 51080, 50462, 51120, 50932, 50474, 50899, 51080, 50989, 51592, 50973, 75657, 51080, 51540, 50899, 63030, 62666, 51120, 62447, 59219, 58327, 54498, 50916, 51592, 50861, 51592, 50876, 51592, 50968, 51592, 56279, 63030, 51080, 50462, 51120, 50932, 50474, 50899, 51080, 50989, 51592, 50973, 75657, 51080, 51540, 50899, 63030, 62666, 51120, 62447, 59219, 58327, 54498, 51085, 77132, 51080, 50916, 51592, 50861, 75656, 51080, 50968, 54980, 50877, 50932, 50462, 51027, 62447, 65377, 51243, 50877, 58327, 50932, 50474, 50997, 51592, 51040, 51592, 50916, 51592, 50861, 51592, 50968, 50932, 51540, 50951, 54869, 51430, 54498, 51086, 51592, 50899, 51592, 50899, 51592, 50861, 51592, 51146, 54980, 50951, 50932, 50462, 50902, 65300, 51517, 50327, 50932, 50474, 51120, 51592, 50899, 51592, 50968, 51517, 50322, 74616, 50932, 51540, 50902, 51517, 50322, 51517, 50327, 54869, 50876, 51517, 50322, 70453, 54498, 51315, 53233, 51026, 53233, 51086, 53233, 50916, 53233, 50861, 53233, 50951, 51592, 50450, 50973, 50932, 50462, 50968, 50932, 50474, 50951, 65300, 51080, 51540, 50973, 54869, 51026, 51517, 50303, 65377, 65377, 58794, 62722, 62722, 54498, 51378, 51592, 51086, 51592, 50899, 51592, 50989, 51592, 50989, 51592, 51114, 51517, 50322, 51592, 50450, 50973, 50932, 50462, 50902, 50932, 50474, 51315, 51592, 50997, 51592, 51040, 51592, 50916, 51592, 50989, 51592, 51114, 51517, 50322, 51592, 51540, 50906, 54869, 51028, 54498, 51120, 51592, 51086, 51592, 50899, 51592, 50989, 51801, 51114, 51517, 50322, 51592, 50450, 50973, 50932, 50462, 50902, 50932, 50474, 51360, 51592, 50997, 51592, 51040, 51592, 50968, 51517, 50322, 51592, 51540, 50906, 54869, 51028, 54498, 51324, 51080, 51086, 51080, 50973, 75657, 51080, 51114, 51080, 50474, 51279, 51592, 51027, 51592, 50876, 51592, 50902, 51592, 51114, 51592, 51474, 50438, 51214, 71169, 58794, 70713, 60473, 65300, 54980, 51086, 50932, 78092, 50932, 50474, 50861, 50932, 51540, 50877, 54869, 50973, 54498, 51214, 51592, 51026, 51592, 50973, 70713, 51592, 50902, 51592, 51220, 54980, 50877, 77316, 50462, 50861, 65300, 50932, 50474, 51841, 51517, 50296, 61306, 51080, 50973, 51080, 50968, 51080, 51147, 51080, 51540, 51315, 65377, 54869, 51120, 63030, 61306 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 15855, 16882, 6, 4246, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 13305, 6, 8, 13305, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 4, 20, 15229, 17384, 10, 1186, 9, 6711, 29, 6, 31, 20425, 8, 2933, 7, 1372, 6, 442, 24, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50437, 51001, 50895, 50902, 54292, 51001, 58746, 50951, 54651, 50876, 56325, 51001, 54596, 50861, 58639, 50876, 54353, 50956, 56860, 64782, 50461, 53282, 50895, 52449, 50895, 57923, 50858, 52114, 55728, 50951, 54718, 50876, 55884, 51001, 54149, 51771, 52765, 51959, 51628, 50951, 50893, 52647, 52262, 51771, 51724, 51147, 50858, 51890, 50983, 50441, 51062, 54651, 50931, 56325, 51147, 54596, 50876, 58639, 51147, 70329, 53139, 50895, 55439, 53650, 63459, 51959, 54093, 64944, 56807, 50858, 52647, 50983, 77343, 54718, 51001, 55884, 50951, 54149, 50876, 57781, 63459, 50431, 52889, 50895, 53139, 53644, 64944, 51959, 53505, 51001, 54362, 64944, 52003, 50983, 50441, 51147, 54651, 50902, 56325, 50931, 54596, 50973, 58639, 51435, 65243, 53282, 50884, 52889, 53685, 51639, 50839, 51771, 74949, 51639, 58472, 51001, 50839, 51639, 54625, 74790, 52449, 65175, 53282, 50884, 52449, 50884, 57923, 50983, 52114, 54275, 52647, 52734, 53168, 53184, 52114, 52450, 55407, 53847, 53168, 52559, 50951, 50795, 53897, 53263, 55407, 50808, 52449, 58566, 53282, 53813, 50902, 50983, 55333, 54134, 52951, 52711, 53168, 53668, 52951, 52741, 53795, 53987, 53168, 52643, 50951, 50795, 55333, 52567, 53795, 50800, 50799, 59179, 64167, 63229, 51081, 51835, 51147, 52296, 50951, 51620, 50931, 52765, 51001, 58812, 52092, 50818, 53234, 52209, 57213, 55953, 53505, 50876, 51724, 60003, 55479, 50918, 55383, 51551, 50441, 50931, 51820, 51001, 52513, 50902, 51757, 50876, 52809, 50973, 58740, 51816, 50818, 52427, 52349, 50877, 52567, 57031, 50799, 54767, 59176, 54337, 54681, 69084, 52627, 55747, 51220, 50859, 54767, 53950, 52092, 52765, 52627, 51628, 51146, 50795, 52427, 52262, 52092, 50808, 61069, 58566, 56184, 53813, 51405, 50805, 51959, 54134, 53234, 50808, 61069, 59503, 56184, 54400, 51405, 50805, 51771, 53668, 51959, 50808, 61069, 58432, 56184, 53688, 51405, 50795, 52647, 52809, 51771, 50800, 61069, 59310, 56184, 52485, 51405, 50795, 52114, 52567, 52647, 50800, 76953, 50800, 55497, 55728, 59179, 50419, 54057, 50818, 53826, 52432, 51081, 52296, 50999, 51620, 58276, 52569, 52765, 58276, 50431, 52627, 50818, 52930, 52209, 50951, 52262, 50931, 51724, 51146, 50805, 52158, 54134, 52092, 50808, 56184, 59503, 55402, 54400, 51146, 50795, 51890, 52513, 52158, 50800, 56184, 59248, 55402, 52555, 51146, 50795, 52003, 52809, 51890, 50800, 56184, 59310, 55402, 52485, 51146, 50795, 52951, 52567, 52003, 50800, 62529, 50859, 58153, 78006, 51081, 72857, 52930, 50884, 54057, 53829, 50999, 55747, 50951, 51620, 60003, 53234, 52765, 50951, 58812, 52569, 50818, 52627, 52209, 50931, 53263, 51001, 52599, 51062, 50805, 51816, 54134, 51959, 50808, 55402, 65781, 55951, 55489, 51062, 50805, 52647, 53668, 51771, 50808, 55402, 58432, 55951, 53688, 51062, 50795, 52114, 52809, 52647, 50800, 55402, 59310, 55951, 52485, 51062, 50795, 53359, 52567, 52114, 50800, 50799, 59179, 54999, 55728, 58276, 50419, 52627, 50818, 52930, 52432, 50951, 52296, 51114, 51620, 79630, 52092, 53847, 51114, 66084, 52577, 50846, 54282, 52927, 50968, 54125, 50902, 52841, 76533, 51771, 51124, 50441, 50902, 52597, 51146, 51124, 50447, 51816, 61216, 52158, 53886, 52092, 60976, 50951, 52955, 76533, 51771, 62355, 68278, 58479, 50812, 52775, 51124, 50417, 50902, 52871, 51062, 51124, 50423, 51816, 52710, 52003, 60412, 50999, 52749, 78980, 52775, 58926, 50999, 52841, 76533, 51771, 51124, 50441, 50902, 52597, 51146, 51124, 50447, 51816, 61216, 52158, 53886, 52092, 60976, 50951, 52955, 79299, 51771, 58565, 66736, 58479, 50808, 52775, 51116, 50417, 50902, 52734, 51062, 77950, 51816, 52450, 52003, 54253, 50999, 51628, 59179, 52775, 53505, 58276, 50437, 55951, 50818, 53652, 52565, 51948, 50991, 51771, 51918, 52158, 53658, 51837, 71303, 55951, 57868, 55402, 50818, 56184, 52396, 51837, 50839, 52647, 60720, 52461, 61425, 51837, 57109, 52461, 58464, 51837, 53173, 52461, 50846, 51771, 69495, 51837, 58892, 52461, 54943, 51837, 57962, 52461, 50846, 50799, 51837, 50828, 55951, 50828, 55402, 55614, 52353, 50914, 52951, 64754, 51771, 67503, 52003, 65366, 51771, 59749, 52951, 60313, 52003, 59628, 50902, 50849, 53168, 62657, 52951, 60831, 53282, 53219, 52449, 56068, 64341, 53897, 51189, 50442, 50951, 63178, 60437, 50448, 51001, 58974, 59285, 50454, 64341, 50455, 52449, 52738, 53282, 57735, 61673, 52114, 50849, 50460, 60437, 51601, 50902, 51189, 52951, 64754, 51771, 67503, 52003, 65366, 51771, 59749, 52951, 60313, 52003, 64123, 53282, 62089, 50902, 50828, 53168, 59662, 51028, 54002, 50902, 60631, 51028, 50828, 52951, 60831, 50902, 50828, 52269, 53219, 51028, 50828, 52449, 56068, 64341, 53897, 51189, 50442, 50951, 63178, 60437, 50448, 51001, 58974, 59285, 50454, 64341, 50455, 52449, 52738, 53282, 57735, 61673, 52114, 50849, 50460, 60437, 51601, 50902, 51189, 52951, 64754, 51771, 67503, 52003, 65366, 51771, 59749, 52951, 60313, 52003, 59628, 50951, 50805, 53168, 63116, 52951, 63038, 61496, 53359, 51141, 50442, 51001, 62236, 60742, 50448, 61496, 50451, 50989, 65601, 62926, 50455, 52681, 52349, 52269, 57430, 50906, 50858, 52003, 50805, 54999, 50795, 50460, 70796, 51601, 50906, 50890, 53168, 50879, 60513, 78006, 50877, 64941, 50861, 65602, 50876, 50880, 53359, 50879, 60009, 65393, 50906, 62588, 50877, 64855, 50902, 50880, 69570, 57672, 65708, 50876, 62941, 50906, 62725, 50968, 50880, 52114, 50879, 56163, 63363, 50902, 62256, 50876, 67166, 51114, 50880, 52003, 50879, 54999, 73824, 50968, 67106, 50902, 64733, 50951, 50887, 52126, 50879, 58312, 67636, 51114, 66429, 50968, 66280, 50999, 50887, 52775, 50879, 60117, 69194, 50951, 70332, 51114, 66000, 51081, 50890, 51771, 50795, 55479, 64503, 50999, 64961, 50951, 50890, 51601, 51062, 51016, 51816, 50983, 53856, 50893, 50430, 51405, 64338, 51146, 50858, 52775, 50795, 50436, 51062, 66972, 78363, 51771, 50795, 50442, 51081, 71643, 50999, 50859, 52647, 50879, 50448, 50951, 68523, 51081, 50859, 52114, 50879, 50454, 50999, 65243, 53139, 53685, 53652, 61160, 69084, 52003, 50879, 50460, 51114, 50859, 51601, 50951, 50807, 52627, 50800, 52239, 50918, 52690, 51356, 50418, 52092, 60721, 53234, 60809, 51959, 56919, 50931, 50795, 52092, 59545, 52427, 57659, 51001, 50795, 51959, 58480, 51816, 55900, 50902, 50795, 52427, 50800, 55479, 50918, 55383, 51356, 50442, 51771, 59070, 51001, 50805, 51959, 66372, 51816, 64847, 50902, 50805, 52427, 64998, 51771, 63848, 50876, 50805, 51816, 50808, 52769, 64333, 52775, 50808, 56194, 50808, 51601, 50902, 50805, 52427, 50808, 55479, 51356, 50418, 51771, 65992, 51001, 50805, 51959, 62779, 51816, 60262, 50902, 50805, 52427, 60133, 51771, 61761, 50876, 50805, 51816, 63116, 52775, 63038, 76698, 53168, 51077, 60513, 51077, 50442, 50899, 62236, 60742, 50448, 50900, 64847, 59285, 50454, 51086, 62516, 50989, 63357, 51027, 50812, 51601, 76514, 52003, 51103, 55741, 51103, 52690, 74871, 52571, 65054, 53655, 67937, 52690, 65001, 57081, 68207, 53655, 64338, 55383, 66554, 57081, 64141, 52603, 53442, 51669, 57014, 51001, 75018, 63459, 50445, 62873, 50448, 51001, 65449, 64782, 50454, 62873, 50457, 50956, 66330, 64782, 50461, 53282, 50895, 50799, 52449, 58487, 51001, 50858, 52114, 50795, 50418, 63459, 50421, 62873, 50424, 51001, 65001, 51771, 59545, 51959, 57659, 50951, 50893, 52647, 58480, 51771, 55900, 51147, 50858 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 38668, 483, 6, 13305, 6, 38668, 11212, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 211, 119, 406, 6, 230, 6, 8, 274, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 51755, 57515, 50836, 77865, 62635, 70261, 51240, 77639, 62320, 51297, 61640, 57693, 50971, 52622, 60659, 54546, 50862, 52029, 52051, 79464, 75870, 62635, 55487, 69563, 53821, 51128, 56321, 60984, 53340, 58388, 50854, 51450, 50813, 78896, 59122, 50598, 62635, 51000, 65073, 55434, 75290, 54763, 53821, 50971, 51618, 53003, 51068, 55742, 50862, 51715, 51371, 62825, 52757, 50598, 67962, 51128, 51453, 53515, 51022, 51621, 56128, 50820, 51755, 57515, 50886, 53510, 52051, 71516, 50379, 54118, 50360, 51035, 51128, 51039, 50366, 51657, 52823, 51123, 61640, 57693, 51750, 52641, 51068, 55296, 50857, 52352, 52051, 50363, 52272, 59548, 58295, 51126, 51361, 66621, 50378, 54118, 62635, 51128, 56321, 60984, 54447, 58806, 50855, 51450, 51437, 62381, 63130, 51123, 50441, 52855, 51657, 53041, 50801, 63273, 69527, 57803, 50971, 51618, 52805, 51068, 54384, 56914, 54506, 69253, 50910, 53867, 63130, 50971, 51453, 60140, 55150, 51128, 51621, 57744, 50855, 51755, 57515, 50836, 77865, 50366, 51613, 50380, 54118, 50361, 51084, 51000, 51039, 50366, 51657, 52539, 51297, 61640, 57693, 50971, 53510, 51087, 52870, 51068, 54546, 50862, 52029, 52051, 73804, 52757, 50599, 50363, 51084, 55487, 60210, 55692, 51128, 56321, 60984, 53340, 56368, 50836, 51450, 50813, 78896, 60525, 50598, 54071, 50920, 51000, 65073, 68813, 54465, 75290, 54121, 56691, 50971, 51618, 58533, 54411, 51068, 55742, 50862, 51715, 51371, 73804, 50387, 53830, 56570, 51128, 51453, 53515, 51022, 51621, 55215, 50862, 51755, 57515, 50886, 53510, 52051, 50364, 51613, 50379, 54118, 62635, 79754, 51270, 52134, 51039, 50366, 51657, 52823, 51123, 61640, 57693, 51750, 55144, 53425, 52799, 50990, 50857, 52352, 52051, 66622, 64406, 50363, 51084, 51126, 51361, 55756, 51128, 56321, 60984, 54447, 60238, 50840, 51658, 53983, 50377, 55958, 50373, 55550, 75308, 50362, 54118, 50363, 51084, 51123, 50441, 51236, 50380, 54118, 51851, 50447, 53867, 52514, 50456, 53867, 51258, 61323, 51677, 51303, 51422, 51249, 51422, 50945, 51091, 50872, 58213, 67234, 50835, 51683, 50914, 51947, 50995, 53460, 51671, 52693, 52204, 52684, 51671, 50801, 57515, 50836, 72216, 53376, 50598, 62320, 51000, 51039, 50366, 51586, 55718, 68874, 50872, 58213, 65537, 54355, 57693, 50971, 63201, 51648, 50943, 52058, 51097, 51068, 54546, 50862, 52029, 52051, 74479, 50952, 52834, 50361, 51084, 61036, 50945, 53810, 63542, 50872, 59588, 65537, 50857, 60210, 55150, 64568, 50927, 53345, 60984, 53340, 58723, 53415, 55564, 51713, 51157, 51702, 61011, 50813, 78896, 50365, 54118, 50363, 51084, 51000, 65073, 50371, 51613, 54247, 50964, 59274, 59203, 64705, 54355, 53270, 54763, 59658, 52786, 50971, 51618, 53003, 65340, 51776, 51116, 51866, 51043, 51068, 55742, 50862, 51715, 51371, 69253, 52757, 50599, 50363, 51084, 51128, 50453, 50872, 58213, 65537, 54199, 50945, 56022, 53515, 65319, 52002, 50846, 52148, 53309, 50941, 51931, 71965, 52151, 51410, 52151, 51303, 52071, 51249, 52071, 51096, 51175, 50872, 62834, 75086, 50835, 52583, 51243, 53361, 51449, 50801, 57515, 50886, 53510, 52272, 50379, 54118, 50360, 51084, 79754, 52002, 50818, 52148, 68606, 71813, 50366, 51657, 55399, 52823, 62791, 61199, 50872, 64203, 75086, 53617, 57693, 51750, 55144, 52992, 50945, 58029, 55296, 50857, 52352, 52051, 69253, 75870, 77810, 68364, 50945, 54216, 70746, 50872, 61507, 75974, 55316, 50364, 51433, 50378, 54118, 50360, 51084, 64568, 70746, 51683, 50855, 51947, 55503, 60984, 54447, 60140, 54431, 74959, 52002, 50812, 52148, 54923, 51437, 54608, 51123, 50441, 51776, 50897, 51866, 53835, 64793, 50363, 51613, 54840, 50945, 58541, 64203, 75086, 54036, 63273, 61960, 58295, 58554, 51713, 50840, 51702, 50886, 60583, 65082, 51068, 54384, 56914, 54506, 66622, 50869, 50598, 63130, 60754, 50872, 61507, 75086, 50835, 51648, 50809, 52058, 53820, 50964, 52808, 70117, 50363, 51084, 68248, 51683, 50809, 51947, 50886, 53510, 51087, 50855, 61323, 52071, 51303, 52151, 51249, 52151, 50945, 51091, 50872, 58213, 70246, 50857, 53460, 51243, 52684, 69094, 57515, 50836, 72216, 53376, 50598, 63130, 70261, 52306, 50836, 52194, 50867, 52148, 64706, 50366, 51657, 52786, 51297, 50422, 52194, 56133, 50872, 58213, 67234, 50867, 52306, 50809, 52148, 58059, 57693, 50971, 53510, 51087, 53901, 51068, 54546, 50862, 52029, 52051, 74479, 64406, 77810, 61036, 50945, 50840, 57217, 53911, 63542, 50872, 59588, 70246, 50857, 56187, 50854, 69563, 55150, 64568, 79072, 52306, 50840, 52194, 53309, 60984, 53340, 58388, 62439, 52148, 50941, 53758, 51428, 50813, 78896, 76745, 50360, 51084, 51000, 50440, 52194, 58545, 52306, 50809, 52148, 56935, 75613, 54247, 50964, 59274, 58213, 70246, 54109, 53270, 54763, 56691, 58554, 57217, 50862, 79117, 54208, 65340, 56187, 58738, 55742, 50862, 51715, 51371, 50364, 51826, 52476, 50599, 50363, 51084, 51128, 50452, 52148, 61096, 50872, 58213, 67234, 50867, 52306, 50840, 52194, 50857, 57217, 52863, 69642, 54958, 51087, 52786, 65319, 52991, 50795, 52488, 51212, 51702, 50912, 59931, 55675, 50971, 75507, 50839, 71965, 52222, 51410, 52151, 51303, 52151, 51249, 52222, 51096, 51175, 50872, 64203, 75086, 50886, 52583, 51243, 53361, 51449, 50801, 57515, 50886, 53510, 52051, 66622, 50942, 53867, 54691, 50920, 51128, 51039, 50366, 51657, 55692, 62791, 51096, 55414, 61507, 75086, 54036, 57693, 51750, 55144, 53425, 50945, 58029, 55296, 50857, 52352, 52051, 73804, 52476, 50599, 62635, 68364, 50945, 54216, 70746, 50872, 64203, 50834, 51007, 53065, 66621, 50378, 54118, 54618, 50920, 64568, 50945, 52423, 60984, 54447, 50366, 51433, 54431, 51457, 51127, 74959, 52002, 50812, 52148, 53197, 51437, 62381, 63873, 51123, 50441, 52366, 50836, 52178, 54897, 67822, 54840, 61269, 58442, 50939, 75086, 50829, 52306, 50836, 52194, 54874, 63273, 61960, 53277, 50598, 50363, 51084, 58554, 51776, 50812, 51866, 50867, 60583, 65082, 51713, 50836, 51702, 58107, 54384, 56914, 54506, 50364, 51586, 52476, 50599, 50362, 51035, 60754, 58442, 50939, 75086, 50835, 52306, 68607, 51022, 50454, 52194, 54199, 50964, 52808, 60140, 55692, 68248, 52991, 50917, 52488, 53021, 72956, 50840, 61323, 52071, 51303, 52151, 51249, 52151, 51327, 51422, 50945, 51091, 58180, 62308, 69461, 53460, 52062, 52684, 51449, 50801, 57515, 50836, 77865, 65826, 50378, 54118, 63130, 51000, 50416, 52306, 50836, 52194, 60209, 52178, 50912, 50418, 52366, 66179, 52002, 50840, 52148, 50867, 51039, 50366, 51657, 55004, 68874, 50872, 58213, 67234, 50829, 52306, 50808, 52194, 54355, 57693, 50971, 53510, 51117, 52329, 51068, 54546, 50862, 52029, 52051, 74479, 52476, 50599, 50363, 51084, 61036, 50945, 50840, 52306, 50800, 52194, 52658, 63542, 50872, 58213, 65537, 51464, 60432, 56691, 64568, 50927, 53345, 60984, 53340, 58388, 50862, 53758, 56645, 54187, 50813, 78896, 50362, 50792, 50598, 54146, 50920, 51000, 65073, 50371, 51613, 54840, 50964, 59274, 59588, 65537, 75088, 50893, 75290, 54763, 55150, 50971, 51618, 57071, 53083, 50927, 57253, 64187, 55742, 50862, 51715, 51371, 66622, 52476, 50599, 50363, 51084, 51128, 50453, 50872, 58213, 50867, 50909, 54199, 50945, 67922, 50980, 54958, 51087, 55692, 51022, 62190, 50971, 51715, 51433, 50855, 71965, 52151, 51410, 52151, 51303, 52151, 51249, 52151, 51096, 51175, 58442, 50939, 75974, 50886, 52583, 51243, 53361, 51671, 50801, 57515, 50886 ]
[ 0, 250, 33928, 3495, 3152, 2214, 19, 10, 2842, 9, 1619, 4780, 6, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 2342, 4467, 6, 81, 9756, 8669, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 16662, 13410, 228, 2289, 4, 20, 2214, 29769, 198, 5, 40286, 272, 8, 230, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 14, 8409, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50630, 79361, 51127, 51020, 51127, 51092, 51127, 51133, 58673, 78077, 57237, 51127, 54602, 51127, 54391, 64345, 51023, 51127, 51092, 51127, 51530, 51127, 50945, 58673, 78077, 55010, 51127, 54391, 51127, 56146, 51127, 50799, 51092, 51359, 51403, 51359, 51810, 51359, 50964, 61113, 78077, 54391, 51359, 56968, 51359, 55849, 51359, 50415, 59058, 51359, 57008, 52444, 50816, 58344, 50798, 50809, 56032, 50809, 56875, 50809, 52534, 51654, 52634, 50809, 74558, 51518, 50420, 50964, 52483, 61415, 61854, 51127, 77719, 52446, 56735, 59058, 58141, 50927, 52596, 51019, 51654, 52634, 50809, 58757, 58705, 51596, 50795, 62008, 72849, 58536, 57394, 51421, 78077, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51596, 51370, 54689, 51606, 57965, 50943, 51092, 50943, 51530, 53946, 54500, 51164, 57847, 57076, 54100, 51606, 58536, 52201, 50971, 71209, 65131, 59381, 51164, 51310, 78007, 50872, 76810, 51606, 68152, 58673, 72445, 51606, 51370, 50971, 78883, 64583, 50872, 57991, 51565, 57965, 50943, 51092, 50943, 51810, 53946, 54500, 51164, 50981, 64804, 50872, 58667, 51606, 51370, 50971, 50946, 57245, 56743, 50905, 68967, 58536, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51686, 51370, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 51164, 51310, 78007, 50872, 51310, 56107, 53769, 72445, 50852, 62798, 50995, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 50943, 50964, 55506, 50809, 51164, 50981, 64804, 50872, 58667, 51686, 51370, 50971, 50946, 57245, 56743, 50905, 68967, 58536, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51686, 51370, 54689, 51686, 64352, 50943, 51530, 50943, 52110, 53946, 54500, 51164, 51677, 50885, 51677, 50872, 51677, 50432, 51686, 58536, 52201, 50971, 71209, 65131, 50872, 56509, 51686, 68152, 58673, 72445, 51686, 51370, 50971, 78883, 64583, 50872, 57991, 51827, 64352, 50943, 51530, 50943, 53463, 53946, 51421, 52485, 51827, 51370, 50971, 50946, 57245, 56743, 50905, 71467, 58536, 58673, 54500, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 78377, 51673, 51370, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 51164, 50981, 50946, 61677, 50981, 72918, 68100, 50872, 56389, 51565, 50918, 51092, 51127, 51546, 51127, 51810, 51127, 51011, 58673, 51421, 56717, 52510, 78883, 64583, 69130, 51688, 51318, 50946, 51318, 50456, 50946, 57245, 62344, 50905, 68449, 50918, 51186, 57394, 51421, 78077, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 79927, 50872, 51318, 51039, 54689, 51061, 50943, 51193, 50943, 51185, 56744, 54500, 52021, 51501, 50297, 67842, 54100, 51186, 52201, 50971, 51037, 50943, 59911, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 53357, 58673, 54500, 51180, 50971, 74732, 61542, 50872, 57991, 51061, 50943, 51193, 50943, 51185, 56744, 54500, 52021, 50981, 51164, 50981, 78889, 51453, 50971, 51037, 77256, 50905, 54516, 53769, 54500, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 79927, 50872, 51318, 51039, 54689, 51061, 50943, 51193, 50943, 51185, 50943, 50945, 55506, 54500, 52021, 51310, 51164, 51310, 51037, 51310, 50432, 51037, 50943, 59911, 50872, 56389, 51565, 50918, 51193, 51127, 51403, 51127, 51810, 51127, 51133, 58673, 51421, 56717, 52510, 71432, 74732, 63153, 51332, 51295, 50988, 51295, 50885, 51295, 50456, 50988, 69178, 57371, 50905, 68967, 50918, 50945, 57394, 51421, 78077, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 51318, 51039, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 51677, 50885, 51677, 50872, 51677, 50432, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 56107, 57394, 54500, 51180, 50971, 78883, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 56744, 51421, 52485, 50964, 52504, 51421, 50971, 50946, 57245, 56743, 50905, 52354, 57394, 54500, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 51318, 51039, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 51164, 51310, 78007, 50872, 51310, 56107, 53769, 54500, 51180, 50971, 78883, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 50943, 50964, 55506, 54500, 51164, 50981, 64804, 50872, 58667, 51596, 60020, 51421, 50971, 50946, 57245, 56743, 50905, 72849, 58536, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51596, 51370, 54689, 51606, 57965, 50943, 51092, 50943, 51530, 53946, 54500, 51164, 57847, 57076, 54100, 51606, 58536, 52201, 50971, 71209, 65131, 59381, 51164, 51310, 78007, 50872, 76810, 51606, 68152, 58673, 72445, 51606, 51370, 50971, 78883, 64583, 50872, 57991, 51606, 57965, 50943, 51092, 50943, 51530, 53946, 54500, 51164, 50981, 64804, 50872, 58667, 51686, 79000, 50971, 50946, 57245, 56743, 50905, 52354, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 51318, 51039, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 51164, 51310, 78007, 50872, 51310, 56107, 51654, 54500, 53012, 53524, 50964, 52918, 51559, 50971, 78883, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 50943, 50945, 55506, 54500, 51164, 50981, 64804, 68100, 51453, 50971, 50946, 57245, 56743, 50905, 73350, 66820, 57394, 54500, 52021, 51003, 51164, 51003, 51037, 51003, 51037, 51318, 79927, 50872, 78377, 51606, 51370, 54689, 51606, 70828, 50943, 51185, 50943, 51530, 53946, 54500, 52021, 51501, 50297, 67842, 54100, 51606, 66820, 52201, 50971, 51037, 51003, 62224, 59381, 52021, 51310, 51164, 51310, 51037, 76810, 51606, 50800, 50945, 58673, 54500, 50441, 51606, 69339, 50971, 74732, 61542, 73360, 50447, 51606, 52728, 51193, 50943, 51185, 50943, 51530, 53946, 54500, 52021, 50981, 51164, 50981, 51037, 58667, 51606, 51370, 50971, 51037, 77256, 50905, 74291, 50918, 51186, 57394, 54500, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 79927, 50872, 51318, 51039, 54689, 51193, 50943, 51185, 50943, 51530, 56744, 54500, 52021, 51501, 50297, 67842, 54100, 51186, 52201, 50971, 51037, 50943, 59911, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 53357, 58673, 54500, 51180, 50971, 51037, 51318, 79927, 50872, 72269, 51193, 50943, 51185, 50943, 51530, 56744, 54500, 52021, 50981, 51164, 50981, 78889, 51453, 50971, 71467, 68782, 57394, 54500, 51332, 68420, 61677, 61677, 51318, 79172, 74086, 50420, 51673, 51370, 54689, 51673, 64352, 50943, 51403, 50943, 51810, 50943, 53477, 53946, 54500, 51332, 51677, 50988, 51677, 50885, 51677, 50432, 51673, 68782, 52201, 50971, 72918, 60104, 50847, 56389, 51673, 60277, 58673, 72445, 51673, 51370, 50971, 64583, 63153, 50847, 57991, 51673, 64352, 50943, 51403, 50943, 51810, 50943, 53477, 53946, 51421, 52485, 51673, 51370, 50971, 50885, 57371, 56713, 50905, 71467, 68782, 58673, 54500, 51332, 68420, 61677, 61677, 51318, 79172, 74086, 50420, 51673, 51370, 54689, 51092, 50943, 51403, 50943, 51810, 56744, 54500, 51332, 51310, 50988, 51310, 78007, 50432, 65131, 61560, 50847, 56509, 51827, 50918, 51185, 51127, 51530, 51127, 53463, 51127, 51186, 58673, 51421, 56717, 52510, 74732, 61542 ]
[ 0, 250, 15352, 30054, 3152, 2214, 19, 3495, 16882, 6, 4246, 10, 11739, 9, 13305, 6, 38668, 3038, 6, 38668, 11212, 6, 81, 9756, 8669, 6, 8, 38668, 20535, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 20902, 12447, 1001, 20889, 8, 10, 132, 73, 306, 86, 6543, 6, 2351, 41, 20425, 8, 11653, 5466, 19, 12577, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77669, 51323, 51264, 50752, 50325, 53090, 57756, 53090, 51023, 51264, 50796, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50899, 61471, 71685, 51083, 50889, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 63560, 51120, 63030, 50932, 51409, 50932, 51763, 50932, 53337, 51623, 50902, 51623, 51188, 51623, 51083, 51623, 50432, 51120, 51264, 50899, 51264, 51409, 51264, 51763, 51264, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 56945, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 51623, 50876, 51623, 51347, 51623, 51118, 51623, 74769, 51538, 50877, 51538, 51200, 51538, 51282, 51538, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 52591, 51027, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 51264, 50876, 51264, 51347, 51264, 51118, 51264, 74769, 74114, 51077, 51200, 51077, 51282, 51077, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 51086, 66154, 50889, 51499, 50889, 51595, 50889, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 51264, 56978, 58794, 50932, 51263, 50932, 51401, 54869, 51086, 51264, 50973, 51264, 51499, 51264, 51595, 51264, 71341, 51538, 50861, 51538, 51263, 51538, 51401, 51538, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50899, 61471, 71685, 51083, 50889, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 63560, 51120, 63030, 50932, 51409, 50932, 51763, 50932, 53337, 51623, 50902, 51623, 51188, 51623, 51083, 51623, 50432, 51120, 51264, 50899, 51264, 51409, 51264, 51763, 51264, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 56945, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 51623, 50876, 51623, 51347, 51623, 51118, 51623, 74769, 51538, 50877, 51538, 51200, 51538, 51282, 51538, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 52591, 51027, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 54834, 50876, 54834, 51347, 53090, 51118, 54834, 74769, 74114, 51077, 51200, 51077, 51282, 51077, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 51086, 53363, 50973, 53363, 51499, 51991, 51595, 53363, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 51264, 50450, 51593, 53363, 55156, 50889, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 51264, 56376, 57394, 70607, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54601, 51654, 52815, 54837, 68838, 56376, 52918, 52961, 54486, 57394, 50805, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 50798, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54837, 51654, 52815, 56376, 53769, 50805, 51382, 52961, 54486, 57394, 50805, 51528, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54486, 51654, 52815, 56376, 68838, 54837, 52918, 52961, 54601, 51991, 50798, 50805, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 61113, 52864, 50798, 50805, 51302, 50805, 51974, 50805, 51450, 50805, 52129, 52596, 55156, 55506, 52961, 50798, 50805, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 51264, 56376, 57394, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54601, 51654, 52815, 54837, 68838, 56376, 52918, 52961, 54486, 57394, 50805, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 50798, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54837, 51654, 52815, 56376, 53769, 50805, 51382, 52961, 54486, 57394, 50805, 51528, 52864, 50798, 52483, 54601, 52918, 52605, 54601, 51654, 52446, 54486, 51654, 52815, 56376, 68838, 54837, 52918, 52961, 54601, 51991, 50798, 50805, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 61113, 52864, 50798, 50805, 51302, 50805, 51974, 50805, 51450, 50805, 52129, 52596, 55156, 50889, 57381, 56858, 52961, 50798, 50805, 54868, 51264, 51027, 51264, 50899, 51264, 50899, 51264, 50989, 51264, 50877, 51264, 50877, 51264, 50902, 51264, 51114, 51264, 50999, 51264, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 51264, 56376, 51077, 62365, 56203, 52864, 50798, 50805, 51302, 50805, 51974, 52446, 54601, 50805, 62365, 53656, 52815, 54837, 50805, 55156, 53656, 52596, 56376, 50805, 56276, 55284, 52961, 54486, 51141, 56276, 53656, 50805, 55547, 51538, 51315, 51538, 51027, 51538, 51027, 51538, 50900, 51538, 50916, 51538, 50861, 51538, 50877, 51538, 50876, 51538, 50876, 51538, 50951, 51538, 51062, 51538, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 50798, 52864, 50798, 50805, 51302, 52605, 54601, 50805, 57381, 53656, 52446, 54837, 50805, 62365, 53656, 52815, 56376, 50889, 56276, 56203, 52596, 51279, 51608, 50301, 55506, 52961, 54486, 51141, 56276, 53656, 50805, 55547, 51538, 51315, 51538, 51027, 51538, 51027, 51538, 50900, 51538, 50916, 51538, 50861, 51538, 50877, 51538, 50876, 51538, 50876, 51538, 50951, 51538, 51062, 68801, 52864, 50798, 52483, 54601, 50805, 57381, 55284, 52605, 54601, 50805, 57381, 53656, 52446, 54486, 50805, 62365, 53656, 52815, 56376, 50805, 55156, 53656, 52596, 51279 ]
[ 0, 4688, 20425, 5175, 3836, 1349, 4246, 38668, 22052, 6, 10, 6755, 12547, 6, 21072, 6, 228, 438, 4781, 2088, 6757, 6, 8, 10, 38668, 483, 4, 20, 2214, 7630, 6568, 10, 1472, 9, 980, 8, 33301, 6, 19, 10, 3366, 219, 8, 1372, 16464, 4, 85, 18, 278, 11, 211, 3694, 6, 34, 10, 1769, 20889, 9, 18461, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 4212, 25935, 1626, 227, 1918, 406, 8, 211, 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 ]	[ 56236, 50796, 50796, 50799, 54511, 51264, 53733, 51036, 53818, 51036, 54256, 57705, 54256, 55893, 62423, 53087, 51113, 51237, 62423, 56499, 62423, 52975, 62423, 55135, 62423, 53294, 51088, 51138, 62423, 55757, 62423, 53675, 51088, 50950, 62423, 55551, 62423, 53711, 51088, 51138, 62423, 54944, 62423, 53563, 51154, 51138, 62423, 56046, 62423, 50883, 50799, 54884, 51264, 54924, 51036, 53370, 51036, 54256, 57705, 54256, 55893, 62423, 53087, 51113, 51735, 62423, 56499, 62423, 52975, 62423, 55135, 62423, 53294, 51088, 51138, 62423, 55757, 62423, 53675, 51154, 51045, 62423, 55551, 62423, 53711, 51154, 51932, 62423, 54944, 62423, 53563, 62423, 56046, 62423, 50883, 50799, 56833, 51036, 56648, 51036, 54511, 51036, 51088, 51138, 54256, 57705, 54256, 54031, 51375, 73131, 62423, 53087, 51088, 51505, 62423, 56499, 62423, 52975, 62423, 55135, 51088, 50950, 62423, 53294, 51154, 51012, 62423, 55757, 62423, 53675, 51088, 51045, 62423, 55551, 62423, 53711, 51088, 50950, 62423, 54944, 62423, 53563, 51088, 51237, 62423, 56046, 62423, 50883, 50799, 56648, 50918, 54511, 50918, 53733, 50918, 54256, 57705, 54256, 54031, 51154, 73131, 62423, 53087, 51251, 51012, 62423, 56499, 62423, 52975, 51088, 52512, 62423, 55135, 62423, 53294, 54884, 51077, 54924, 50918, 53370, 50918, 62423, 55757, 62423, 53675, 62423, 55551, 62423, 53711, 62423, 54944, 62423, 53563, 62423, 56046, 62423, 50883, 70212, 51012, 54511, 51264, 53733, 51036, 53818, 51036, 54256, 51135, 56166, 54256, 50895, 52906, 54104, 52505, 50949, 62423, 53087, 52505, 50894, 51113, 51237, 62423, 51135, 54956, 62423, 52975, 52505, 50962, 62423, 52586, 54288, 52020, 50894, 62423, 53294, 51088, 51138, 62423, 51041, 55262, 52020, 51010, 62423, 53675, 52020, 51138, 51088, 50950, 62423, 52586, 54368, 62423, 53711, 51088, 51012, 62423, 51041, 55097, 52020, 50949, 62423, 53563, 52020, 50894, 51154, 51045, 62423, 52586, 54794, 62423, 50883, 50799, 52999, 51012, 54884, 51036, 54924, 51036, 53370, 51036, 54256, 51135, 56166, 54256, 50895, 52906, 54104, 52999, 51031, 62423, 53087, 52999, 50894, 51113, 51932, 62423, 51135, 54956, 62423, 52975, 52999, 50962, 62423, 52586, 54288, 52401, 50950, 62423, 53294, 51088, 51138, 62423, 51041, 55262, 52401, 51010, 62423, 53675, 52401, 51014, 51154, 51045, 62423, 52586, 54368, 62423, 53711, 51154, 51735, 62423, 51041, 55097, 52401, 51031, 62423, 53563, 52401, 50894, 62423, 52586, 54794, 62423, 50883, 70212, 51138, 56833, 51036, 56648, 51036, 54511, 51655, 51088, 51012, 54256, 51135, 56166, 54256, 54031, 51375, 60687, 54104, 52505, 51031, 62423, 53087, 52505, 50894, 51088, 51483, 62423, 51135, 54956, 62423, 52975, 52505, 50962, 62423, 52586, 54288, 52020, 51014, 51154, 50950, 62423, 53294, 51088, 51012, 62423, 51041, 55262, 52020, 51010, 62423, 53675, 52020, 51021, 51375, 51012, 62423, 52586, 54368, 62423, 53711, 51088, 51012, 62423, 51041, 55097, 52020, 50949, 62423, 53563, 52020, 50894, 51154, 51237, 62423, 52586, 54794, 62423, 50883, 50799, 52999, 51138, 56648, 50918, 54511, 50918, 53733, 50918, 54256, 51135, 56166, 54256, 54031, 51251, 60687, 54104, 52999, 50949, 62423, 53087, 52999, 50894, 51088, 51870, 62423, 51135, 54956, 62423, 52975, 52999, 51010, 62423, 52586, 54288, 52401, 51045, 62423, 53294, 54884, 51077, 54924, 50918, 53370, 50918, 62423, 51041, 55262, 52401, 51010, 62423, 53675, 52401, 50923, 62423, 52586, 54368, 62423, 53711, 62423, 51041, 55097, 52401, 51031, 62423, 53563, 52401, 51014, 62423, 52586, 54794, 62423, 50883, 50799, 52364, 51006, 52842, 51058, 52350, 51058, 51842, 50420, 51046, 69042, 54316, 52364, 51006, 52842, 51058, 52350, 51058, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 60465, 51046, 50834, 51075, 55604, 52364, 51006, 52277, 51058, 52350, 80059, 51046, 50834, 51075, 53057, 52364, 50933, 52277, 51008, 52350, 51008, 51046, 69042, 54859, 51046, 69042, 53268, 52364, 50825, 52277, 50835, 52350, 50835, 51046, 69042, 54359, 51046, 50834, 51075, 50820, 50799, 52364, 50933, 52842, 51008, 52350, 76430, 51046, 69042, 54316, 52364, 50933, 52842, 51008, 52350, 51008, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 59983, 51046, 50834, 51075, 55604, 52364, 51006, 52842, 51008, 52350, 80059, 51046, 50834, 51075, 53057, 53165, 50933, 52673, 51008, 52350, 51008, 51063, 50820, 51143, 54859, 51063, 50820, 51143, 53268, 53165, 50825, 52673, 50835, 52350, 50825, 51063, 50820, 51143, 54359, 70230, 51143, 50820, 50799, 52364, 51006, 52842, 51058, 52350, 70997, 51046, 69042, 54316, 52364, 51006, 52842, 51058, 52350, 51058, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 60465, 51046, 50834, 51075, 55604, 52364, 51006, 52277, 51058, 52350, 80059, 51046, 50834, 51075, 53057, 52364, 50933, 52277, 51008, 52350, 51008, 51046, 69042, 54859, 51046, 69042, 53268, 52364, 50825, 52277, 50835, 52350, 50835, 51046, 69042, 54359, 51046, 50834, 51075, 50820, 50799, 52364, 50933, 52842, 51008, 52350, 76430, 51046, 69042, 54316, 52364, 50933, 52842, 51008, 52350, 51008, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 59983, 70230, 51143, 55604, 52364, 51006, 52842, 51008, 52350, 61972, 70230, 51143, 53057, 53165, 50933, 52673, 51008, 52350, 51008, 51046, 50820, 51348, 50839, 51767, 51576, 51263, 51199, 50453, 51046, 50820, 51348, 53268, 53165, 50825, 52673, 50835, 52350, 50825, 51063, 50820, 51143, 54359, 70230, 51143, 50820, 70212, 51012, 51384, 53295, 52364, 51006, 52842, 51058, 52350, 51058, 51409, 51645, 51200, 51645, 50420, 51107, 51010, 51046, 69042, 54316, 52505, 50949, 52364, 51006, 52842, 51058, 52350, 61911, 52505, 50894, 51093, 51505, 50429, 51046, 50834, 51075, 53063, 52505, 50962, 52364, 51006, 52842, 51008, 52350, 76257, 52020, 50894, 51093, 56262, 51093, 51010, 51046, 50834, 51075, 55604, 52020, 51010, 51093, 51010, 52364, 51006, 52277, 51058, 52350, 61972, 52020, 51138, 50447, 51093, 51010, 51046, 50834, 51075, 53057, 52364, 50933, 52277, 51008, 52350, 51008, 51046, 69042, 54859, 52020, 50949, 51093, 51010, 51046, 69042, 53268, 52020, 50894, 51154, 51138, 52364, 50825, 52277, 50835, 52350, 50835, 51046, 69042, 54359, 51046, 50834, 51075, 50820, 50799, 52999, 51012, 51093, 50950, 52364, 50933, 52842, 51008, 52350, 76430, 51093, 51010, 51046, 69042, 54316, 52999, 51031, 52364, 50933, 52842, 51008, 52350, 57630, 52999, 50894, 51093, 51138, 50429, 51046, 50834, 51075, 53063, 52999, 50962, 51165, 51010, 52364, 51006, 52842, 51008, 52350, 69876, 52401, 50950, 51113, 72547, 51046, 50834, 51075, 55604, 52401, 51010, 51165, 51010, 52364, 51006, 52842, 51008, 52350, 61972, 52401, 51014, 51690, 60785, 51093, 51010, 51046, 50834, 51075, 53057, 51733, 50845, 53165, 50933, 52673, 51008, 52350, 51008, 51063, 50820, 51143, 54859, 52401, 51031, 51165, 51010, 51063, 50820, 51143, 53268, 52401, 50894, 51304, 50892, 51113, 51932, 53165, 50825, 52673, 50835, 52350, 50825, 51063, 50820, 51143, 54359, 70230, 51143, 50820, 70212, 51138, 51384, 52121, 52364, 51006, 52842, 51058, 52350, 51058, 50417, 51165, 57606, 51093, 51735, 51046, 69042, 54316, 52505, 51031, 52364, 51006, 52842, 51058, 52350, 61911, 52505, 58236, 51046, 50834, 51075, 53063, 52505, 50962, 52364, 51006, 52842, 51008, 52350, 76257, 52020 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 15229, 11, 2060, 538, 6, 42, 765, 2214, 1575, 10, 23667, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 11602, 9, 15073, 14, 115, 15658, 1495, 157, 7, 10, 822, 19834, 6, 150, 202, 6780, 41, 1374, 1372, 16464, 6, 25, 24, 26658, 149, 10, 33215, 13931, 9, 230, 406, 6, 274, 406, 73, 250, 6, 8, 12608, 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 ]	[ 58402, 51247, 57722, 51358, 51001, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 62674, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 57722, 52567, 73764, 54734, 66303, 51492, 51001, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 62674, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 78858, 51724, 51247, 78858, 52831, 51247, 51820, 51147, 52513, 51247, 51757, 51147, 51754, 51247, 50800, 51405, 50800, 56229, 51757, 51081, 51754, 59179, 60820, 51835, 51062, 51620, 51147, 51628, 51081, 51757, 50951, 51754, 65902, 50796, 66243, 50931, 51724, 50931, 51820, 50951, 51757, 51147, 51754, 51405, 50800, 62856, 50800, 50796, 50444, 51405, 51757, 59179, 50796, 66243, 50931, 51724, 50931, 51820, 51147, 51757, 60003, 61627, 50951, 51820, 51405, 50800, 61627, 50951, 51820, 51147, 50800, 50796, 61627, 50876, 51820, 51147, 51757, 50876, 52809, 60003, 50796, 76501, 51405, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 5175, 3152, 2214, 19, 10, 2933, 8, 9066, 619, 6, 4246, 81, 9756, 8, 30587, 29589, 6, 2382, 3459, 8669, 6, 38668, 11212, 6, 8, 21072, 4, 20, 1349, 16, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8017, 163, 5683, 4, 20, 1049, 33215, 16739, 6, 274, 6, 2060, 6, 12608, 6, 8, 163, 428, 6, 35315, 1328, 5, 2214, 6, 2351, 10, 19448, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50801, 53071, 69044, 51387, 51769, 51387, 51289, 51480, 68780, 51480, 50420, 51769, 52192, 51206, 61390, 51206, 51387, 51769, 51387, 51224, 75359, 51206, 51387, 51769, 51387, 50435, 51224, 50978, 51658, 50905, 51326, 50905, 51206, 51387, 51769, 51387, 50441, 51224, 74458, 51206, 51387, 51769, 51387, 50801, 51242, 51326, 68465, 51206, 51387, 51769, 51387, 51289, 51480, 51289, 51480, 50768, 50287, 51480, 50456, 51206, 51387, 51769, 51387, 51755, 69044, 51387, 51769, 51387, 51289, 51480, 68780, 51480, 50420, 51206, 51387, 51769, 61390, 51206, 51387, 51769, 51387, 51224, 75359, 51206, 51387, 51769, 51387, 50435, 51224, 50978, 51658, 50905, 51326, 50905, 51206, 51387, 51769, 64714, 51206, 51387, 51769, 51387, 50801, 51242, 51326, 68465, 51206, 51387, 51769, 51387, 51289, 51480, 50768, 50287, 51480, 50456, 51206, 51387, 51769, 51387, 51755, 69044, 51387, 51769, 51387, 51289, 51480, 68780, 51480, 50420, 51206, 51387, 51769, 61390, 51206, 51387, 51769, 51387, 51224, 75359, 51206, 51387, 51769, 51387, 50435, 51224, 50978, 51658, 50905, 51326, 50905, 51206, 51387, 51769, 51387, 50441, 51224, 74458, 51206, 51387, 51769, 51387, 50801, 51242, 51326, 68465, 51206, 51387, 51769, 51387, 51289, 51480, 50768, 50287, 51480, 50456, 51206, 51387, 51769, 51387, 55669, 52218, 53071, 50830, 55207, 50886, 53327, 50867, 51302, 52218, 50830, 54321, 51628, 50804, 50809, 52594, 52444, 50804, 52831, 50804, 51820, 50804, 50809, 52612, 50809, 51382, 79233, 51754, 50804, 50809, 52198, 50809, 50799, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 55944, 63179, 51797, 51335, 51797, 50420, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 56323, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 58652, 54372, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 51000, 52594, 52444, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 59874, 54630, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 59874, 53484, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 58652, 54896, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 51000, 50799, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 59874, 55587, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 56323, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 58652, 54372, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 55666, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 59874, 54630, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 59874, 53484, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 58652, 54896, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 51000, 50799, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 55944, 63179, 51797, 51335, 51797, 50420, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 56323, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 58652, 54372, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 51000, 52594, 52444, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 59874, 54630, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 59874, 53484, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 58652, 54896, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 51000, 50799, 52160, 50838, 51583, 50838, 51856, 50838, 50678, 50283, 51079, 53707, 51079, 52947, 51079, 51105, 50901, 51521, 51074, 51348, 51074, 51569, 51074, 54223, 50845, 52000, 50845, 51772, 50845, 52352, 51225, 59874, 55587, 52160, 50838, 51583, 50838, 51856, 50838, 50678, 50283, 51079, 53707, 51079, 52947, 51079, 51105, 50901, 51521, 51074, 51348, 51074, 51569, 51074, 54223, 50845, 52000, 50845, 51772, 50845, 52352, 51225, 56323, 52160, 50838, 51583, 50838, 51856, 50838, 50678, 50283, 51079, 53707, 51079, 52947, 51079, 51105, 50901, 51521, 51074, 51348, 51074, 51569, 51074, 54223, 50845, 52000, 50845, 51772, 50845, 52352, 51225 ]
[ 0, 250, 15352, 30054, 3495, 1619, 2214, 11, 230, 538, 6, 4246, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 930, 2233, 6, 8, 3152, 6757, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 26545, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 5, 33215, 16739, 9, 211, 119, 6, 272, 6, 230, 6, 3676, 406, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50997, 52335, 50906, 51445, 50902, 51003, 63766, 55191, 51081, 55544, 51146, 53913, 51062, 55200, 51081, 54058, 50931, 50981, 56310, 52335, 50877, 52151, 50968, 71215, 50951, 55752, 51062, 54342, 50951, 52718, 50968, 54323, 50876, 50873, 54206, 52071, 50902, 51183, 63766, 55191, 51081, 54777, 50999, 53264, 50931, 53999, 50902, 54058, 50906, 58843, 50876, 50974, 55435, 52335, 50876, 62244, 51318, 58973, 58069, 50906, 56427, 50876, 51477, 50968, 51183, 50450, 51065, 55695, 50901, 50799, 52806, 52335, 51607, 69238, 52019, 50301, 52335, 50876, 65516, 52043, 66386, 54335, 51607, 55002, 52257, 58363, 55002, 50951, 54342, 53876, 51295, 50856, 65348, 51295, 56797, 59242, 54258, 51619, 50326, 55247, 52807, 56255, 64510, 53586, 52257, 57945, 50838, 67547, 52335, 51607, 52335, 52327, 59384, 61849, 52335, 50876, 52335, 50931, 57437, 52257, 72895, 58069, 51669, 51452, 50902, 51452, 50432, 52043, 58377, 65064, 54137, 52327, 78145, 67883, 59124, 52807, 56255, 73089, 50845, 76759, 53142, 51440, 53588, 51669, 51692, 50856, 51807, 50302, 53142, 50877, 53588, 50902, 51692, 50420, 52327, 78504, 64396, 52807, 52104, 50325, 56427, 53876, 78145, 67996, 61112, 52807, 58377, 60472, 54323, 52327, 58377, 62244, 54509, 51669, 70358, 51074, 77631, 53055, 51929, 52212, 51808, 51145, 50856, 75860, 53055, 50965, 52212, 50973, 67568, 52327, 66257, 55191, 54050, 51517, 50324, 54498, 51774, 51490, 51434, 57820, 51773, 52168, 50856, 60259, 51490, 50861, 57820, 50906, 52168, 50444, 51669, 63785, 56697, 52327, 51310, 50931, 51310, 52591, 51773, 51680, 50906, 51680, 50421, 58997, 53383, 51669, 60473, 50932, 59584, 52810, 52327, 75598, 51079, 64258, 53614, 51669, 51697, 52807, 60756, 54126, 50325, 50892, 66076, 53783, 52257, 51965, 50816, 65934, 51965, 64495, 54105, 51669, 60379, 50905, 59584, 54199, 51774, 52783, 51773, 77212, 62530, 52783, 50906, 51074, 58997, 50857, 75235, 50914, 51515, 50995, 51440, 51310, 51132, 51295, 50856, 61530, 71445, 61581, 61817, 51310, 64258, 54657, 51607, 58722, 56307, 51515, 50972, 52327, 59140, 55921, 57911, 66257, 54342, 53369, 51183, 51434, 50981, 51773, 50981, 52327, 51318, 51416, 51608, 50297, 51183, 50861, 62163, 65910, 51318, 50437, 50856, 69959, 55965, 51614, 51077, 50899, 63883, 51434, 51318, 51684, 58657, 51318, 50449, 50856, 58162, 60649, 51773, 61419, 55670, 53369, 51189, 51416, 69769, 51189, 61532, 59854, 50856, 51177, 67548, 51127, 51440, 50943, 51607, 50849, 51132, 57394, 64291, 51127, 50877, 59391, 50849, 56318, 76157, 58997, 53728, 52327, 62244, 53172, 51440, 51387, 51607, 57353, 64709, 65657, 76830, 50901, 64258, 52810, 53369, 51790, 51440, 51003, 51607, 50914, 52327, 51189, 51416, 71570, 51790, 50877, 60559, 65208, 71378, 51660, 51127, 50856, 54035, 65788, 51127, 50443, 64258, 51210, 50444, 51440, 51295, 51684, 60598, 79766, 51607, 52108, 57075, 65090, 50795, 62527, 54900, 52327, 50845, 51416, 59879, 50845, 64258, 50857, 75235, 50981, 51614, 51310, 51434, 50901, 51773, 50901, 51132, 51218, 50856, 55998, 51800, 50297, 61849, 51310, 50861, 61419, 50901, 64495, 53932, 52327, 64213, 50901, 64258, 60417, 62527, 52524, 51434, 50974, 51773, 56923, 58473, 51008, 50861, 63422, 50892, 50431, 59584, 53911, 53369, 51047, 51660, 51218, 51440, 51218, 51607, 50889, 51416, 71570, 51047, 50916, 51218, 50877, 51218, 50876, 53912, 50856, 75751, 50914, 58997, 54247, 52327, 50805, 51684, 62244, 52596, 51440, 50873, 51607, 50805, 51416, 54792, 65928, 58800, 56964, 50805, 56318, 52955, 53369, 51074, 51515, 51127, 51773, 51115, 51669, 51141, 51338, 51519, 50297, 69442, 51127, 50906, 51115, 79728, 59584, 59700, 50856, 51377, 75235, 51115, 51132, 53769, 51800, 50297, 71215, 52327, 64213, 50901, 50421, 59584, 61823, 50816, 58382, 51773, 50892, 51669, 50807, 51132, 51141, 50856, 75600, 60756, 53182, 53369, 51047, 51050, 51047, 61532, 60831, 50798, 64835, 54233, 51434, 51003, 51607, 50849, 52043, 58263, 60559, 65544, 50849, 58997, 52597, 52257, 51115, 51684, 70452, 70703, 51773, 51003, 51416, 56923, 58162, 50878, 50906, 51003, 58997, 54583, 51774, 50892, 51684, 62530, 50892, 75235, 50943, 51515, 50943, 51440, 50943, 52327, 64835, 51519, 50297, 60241, 60015, 67780, 50943, 64258, 54611, 51440, 65186, 60184, 51553, 53182, 53369, 50901, 51515, 52011, 51440, 50974, 51607, 50915, 52327, 51619, 50297, 58520, 53126, 50313, 58722, 67883, 54975, 51224, 53218, 53369, 51514, 50297, 55125, 51774, 50873, 51434, 50901, 51773, 50901, 52327, 50901, 51416, 50889, 51289, 60339, 57094, 61419, 64213, 73894, 52463, 51411, 53368, 51411, 75235, 51295, 51515, 51965, 51440, 51003, 51607, 50889, 52327, 50914, 51132, 62343, 60095, 51608, 50297, 78704, 51965, 50877, 60559, 62931, 50914, 50425, 52463, 51400, 53368, 77399, 51440, 50943, 51607, 50981, 52327, 64019, 53592, 56876, 59391, 65910, 57421, 53369, 51079, 51515, 50974, 51132, 55732, 51458, 50297, 65594, 56298, 52806, 51330, 51434, 50981, 51440, 50845, 51607, 50914, 52043, 50889, 51349, 62343, 57594, 50873, 52328, 51203, 51027, 67278, 60268, 57586, 68547, 50889, 53059, 51203, 52129, 54323, 51434, 50845, 51607, 50849, 52043, 52504, 59384, 50805, 52328, 51400, 50861, 57586, 65544, 55143, 50915, 53059, 51400, 50456, 52806, 51074, 51349, 53834, 63663, 51074, 50799, 57117, 51003, 51434, 50845, 51607, 50845, 52043, 50845, 51526, 56001, 53592, 50849, 52328, 51458, 50290, 58657, 57586, 61527, 50845, 53059, 55689, 51440, 50892, 51607, 50849, 52327, 53834, 50849, 52463, 51056, 50877, 58007, 62377, 50849, 53368, 68106, 51614, 52136, 50816, 60095, 57260, 52136, 50431, 51982, 51562, 52631, 51562, 50432, 57117, 51074, 51515, 51145, 51773, 51183, 51669, 51103, 51526, 56001, 51519, 50290, 69442, 51145, 50906, 51183, 50902, 64050, 57117, 73016, 54367, 51519, 50290, 68288, 51526, 56001, 53794, 51614, 63097, 56255, 64151, 50974, 50455, 51829, 50901, 52588, 55670, 51434, 50873, 51607, 50873, 51526, 55998, 57094, 56964, 74304, 51617, 51377, 52564, 51377, 75235, 51108, 52806, 51079, 51774, 50981, 51515, 51003, 51440, 50943, 51132, 55530, 54367, 51519, 50297, 52026, 50301, 68996, 60138, 60598, 50943, 57087, 78868, 51617, 51056, 52564, 68106, 51774, 50995, 51515, 50915, 51440, 50889, 51132, 62877, 60095, 69214, 60367, 58421, 55112, 53722, 60386, 51458, 50294, 54938, 52769, 51108, 51434, 50892, 51773, 50873, 51137, 58955, 53592, 50805, 52317, 51177, 51026, 63821, 61366, 50873, 53350, 67367, 51515, 51166, 51440, 54788, 50892, 51617, 59198, 71454, 76236, 74299, 51676, 51312, 53191, 72380, 52557, 50972, 51515, 51166, 51434, 50901, 51137, 64648, 60095, 51458, 50302, 60912, 71395, 55670, 52769, 52212, 50798, 71115, 52212, 50461, 51829, 51056, 52588, 51056, 50799, 54437, 50943, 51515, 50915, 51434, 50915, 51607, 50889, 51416, 63732, 53592, 51519, 50292, 60241, 58339, 59258, 55385, 50798, 79490, 55906, 55440, 51774, 51141, 51434, 51538, 51607, 51538, 50816, 53592, 50849, 51829, 51218, 50900, 51141, 50861, 51538, 50876, 51538, 55076, 50987, 52588, 51218, 50432, 54437, 50849, 52769, 53577, 51660, 50873, 51416, 57685, 51455, 50292, 77782, 53577, 50916, 50873, 58997, 73320, 54437, 51003, 51137, 55998, 53592, 51458, 50292, 60510, 51338, 57685, 60095, 50849, 61532, 54276, 51181, 54792, 50805, 51553, 50849, 56318, 54424, 51774, 51452, 51137, 50901, 51289 ]
[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 4149, 6, 19, 10, 11602, 9, 9884, 8, 11926, 4, 2595, 10312, 9382, 15, 10, 2352, 6757, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 163, 428, 6, 274, 406, 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 ]	[ 56103, 50417, 69982, 53082, 50418, 55546, 52644, 56146, 51362, 55339, 51294, 50436, 56146, 72538, 55339, 50844, 50442, 56146, 50807, 50443, 55339, 51486, 50455, 62882, 51013, 52478, 56146, 51013, 50430, 56283, 51363, 54304, 50807, 50442, 56967, 51941, 57281, 53454, 60058, 53753, 54602, 51422, 50796, 50430, 56445, 51790, 55849, 51933, 55339, 51538, 52177, 56967, 51362, 57281, 52919, 50418, 54602, 51417, 60058, 51422, 50437, 55339, 51379, 50443, 56445, 50889, 54602, 51103, 50456, 55339, 50807, 69982, 52069, 55753, 56283, 51091, 55128, 51591, 50435, 55546, 51241, 57483, 51189, 50451, 56445, 52500, 56487, 52335, 50452, 60058, 52062, 50796, 50456, 55339, 51343, 56445, 53082, 54602, 51562, 50457, 60058, 51801, 75695, 54391, 51043, 56283, 51121, 50435, 55339, 51362, 54602, 51353, 50448, 57281, 51894, 50796, 50439, 56445, 52903, 55339, 51472, 54602, 51397, 50459, 54391, 51100, 56283, 50795, 52177, 55339, 51226, 54602, 51991, 50430, 57281, 51790, 52591, 56146, 50918, 56283, 53380, 57281, 55408, 55128, 51351, 55546, 51714, 50446, 56146, 51167, 50452, 54304, 69085, 54304, 51356, 55128, 51675, 50796, 50436, 56283, 51016, 54304, 51016, 50449, 56445, 51717, 60058, 52644, 54602, 51145, 56967, 51356, 69341, 56967, 51060, 54602, 51696, 50433, 55339, 50937, 50440, 55339, 51538, 75695, 57483, 53413, 54391, 51218, 56283, 50983, 50448, 56283, 50812, 54391, 64870, 54391, 51358, 50454, 56283, 50943, 52478, 56967, 51413, 50437, 55339, 51178, 54304, 50805, 50443, 54391, 50807, 56283, 50981, 50455, 60058, 52821, 55339, 51343, 54602, 51397, 55746, 56283, 50805, 54391, 77066, 55339, 50896, 54602, 51264, 50445, 57281, 51538, 50796, 50434, 57483, 53090, 54391, 51141, 50454, 54391, 51933, 50460, 54977, 50915, 56283, 50943, 59412, 56445, 52122, 56967, 50983, 50442, 54304, 50879, 50443, 55339, 51110, 50448, 54391, 51091, 50449, 56283, 51134, 50452, 54304, 56603, 55339, 51661, 50799, 54602, 51417, 60058, 52045, 50433, 54391, 51328, 56283, 50977, 50439, 54602, 52069, 55339, 51091, 50453, 57281, 51790, 50796, 50440, 56146, 50983, 50441, 57281, 53753, 55546, 52644, 55128, 50943, 55339, 51141, 50461, 55339, 50844, 56146, 50921, 52478, 55339, 51692, 56146, 50914, 50431, 62882, 51016, 50443, 56146, 51013, 50455, 57483, 50943, 56283, 51109, 54304, 51013, 53069, 55339, 51134, 56967, 51991, 50420, 56445, 53082, 56487, 51486, 50433, 54602, 56306, 55339, 51036, 50458, 60058, 51452, 55849, 51161, 50796, 50447, 57281, 53454, 56967, 51562, 60058, 51714, 50448, 54602, 51183, 52591, 55339, 71783, 54602, 51047, 56445, 61298, 55339, 51204, 50440, 69982, 52069, 50452, 56283, 51091, 55128, 51591, 52177, 57483, 51351, 50418, 55546, 51191, 50432, 56445, 54527, 60058, 54143, 56487, 53233, 50796, 50453, 55339, 51364, 56445, 52821, 54602, 51446, 60058, 52096, 59412, 54391, 51233, 56283, 67772, 54602, 51109, 55339, 51294, 50445, 57281, 51518, 54602, 52140, 50796, 50434, 56445, 51422, 55339, 51472, 50435, 54602, 51562, 50455, 54391, 51194, 56283, 75389, 55339, 51294, 54602, 51255, 59412, 57281, 51452, 56445, 53486, 54602, 51623, 51809, 56146, 51362, 56283, 51241, 55546, 51677, 55128, 51157, 57281, 52826, 50440, 56146, 51286, 50441, 56283, 51157, 50446, 54304, 76335, 56283, 51356, 54304, 51527, 55128, 51692, 50796, 50430, 56283, 51013, 54304, 51016, 50443, 54602, 51047, 56967, 51661, 56445, 52149, 50444, 60058, 57598, 52591, 54602, 51359, 56967, 70266, 55339, 53627, 55339, 51538, 55753, 54391, 51141, 57483, 52821, 50422, 56283, 51141, 50441, 54391, 50808, 56283, 54803, 56283, 50915, 54391, 51933, 50460, 56967, 51472, 77033, 55339, 51100, 54304, 68405, 56283, 51003, 54391, 55082, 60058, 52903, 55339, 51364, 54602, 51749, 55753, 56283, 50873, 54391, 68033, 55339, 51294, 50427, 54602, 51411, 50439, 57281, 51692, 54602, 51518, 79254, 57483, 53082, 56445, 53280, 54391, 51295, 50430, 54977, 51148, 50449, 56445, 52122, 54391, 51933, 50455, 56283, 50889, 52591, 56967, 51446, 50439, 54304, 50795, 55339, 51177, 50445, 56283, 51003, 54391, 50914, 50457, 60058, 52644, 55339, 51141, 50458, 54602, 51283, 75695, 56283, 50845, 54391, 51753, 50434, 55339, 51204, 54602, 50915, 50448, 54602, 51742, 57281, 51790, 50796, 50439, 55546, 52919, 56146, 51343, 57281, 52919, 55128, 51112, 55339, 51157, 50458, 56146, 64959, 55339, 50830, 52177, 56146, 51013, 55339, 51933, 50429, 62882, 51073, 50441, 56146, 50889, 50454, 56283, 51400, 57483, 50943, 54304, 50889, 52478, 56445, 53478, 54602, 51945, 56967, 52500, 50419, 56487, 70268, 57281, 51655, 50457, 60058, 51518, 55849, 51941, 55339, 51991, 76501, 57281, 52821, 56967, 51285, 54602, 51103, 60058, 51422, 56020, 55339, 51095, 50429, 54602, 53486, 56445, 51191, 50443, 55339, 51241, 69982, 51945, 50456, 56283, 51091, 55128, 51675, 56020, 57483, 51241, 55546, 51241, 50437, 56445, 54484, 60058, 53478, 56487, 51244, 51601, 57483, 51351, 54977, 51381, 50431, 56487, 53486, 57281, 51742, 57731, 55339, 51472, 56445, 53090, 54602, 51103, 60058, 52122, 50444, 54391, 51194, 50445, 56283, 67070, 54602, 51056, 55339, 51362, 51809, 57281, 51991, 54602, 51518, 50455, 56445, 51662, 55339, 51291, 54602, 51413, 75695, 54391, 51100, 56283, 50938, 50433, 55339, 51294, 50434, 54602, 51377, 50446, 56445, 52015, 54602, 51790, 50447, 57281, 51742, 50796, 50437, 55546, 51677, 57281, 53295, 55128, 51115, 56283, 51183, 56146, 51145, 51601, 56146, 51158, 56283, 51157, 50421, 54304, 50924, 50427, 56283, 51161, 54304, 51933, 50428, 55128, 51677, 52177, 56445, 51801, 56967, 51077, 54602, 52644, 60058, 53478, 50442, 56967, 51192, 50448, 55339, 74022, 55339, 51161, 50796, 50445, 57483, 52644, 54391, 51189, 56283, 51141, 51809, 54391, 50910, 56283, 63980, 54391, 51591, 56283, 50943, 50434, 56967, 51472, 50454, 55339, 51177, 54304, 69189, 54391, 50914, 56283, 51003, 59412, 55339, 51446, 60058, 53082, 54602, 51627, 50445, 56283, 50845, 54391, 51101, 50451, 54602, 51377, 55339, 51294, 51809, 54602, 51945, 57281, 51692, 50454, 57483, 53090, 54391, 51141, 55746, 54391, 51941, 50432, 54977, 51003, 56283, 50914, 50445, 56445, 52122, 56967, 51417, 51809, 54304, 50805, 55339, 51212, 50422, 54391, 50914, 56283, 50915, 50435, 60058, 53454, 55339, 51291, 54602, 51749, 50456, 56283, 50977, 50457, 54391, 51100, 50799, 54602, 51312, 55339, 51204, 50428, 54602, 51538, 57281, 51518, 53069, 56146, 51472, 57281, 52821, 55128, 51291, 55546, 52821, 55339, 51291, 50441, 56146, 50940, 55339, 58726, 55339, 51894, 56146, 51541, 50460, 62882, 51362, 55746, 56146, 60315, 57483, 50932, 56283, 51400, 54304, 51204, 50439, 55128, 51178, 50452, 57281, 53478, 60058, 53082, 56967, 52536, 56445, 53413, 54602, 51422, 50796, 50443, 55849, 51161, 55339, 51714, 50796, 50434, 57281, 52903, 54602, 51291, 56967, 51285, 60058, 52069, 50454, 55339, 51175, 50461, 54602, 51452, 56445, 51204, 69341, 69982, 51307, 55339, 51091, 50442, 56283, 51091, 55128, 51790, 50457, 57483, 51295, 55546, 51141, 59412, 56445, 53002, 56487, 67778, 60058, 51801, 57281, 51452, 50458, 57483, 51448, 54977, 51562, 50796, 50430, 56487, 52140, 50431, 57281, 51422, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 5175, 2214, 11, 12608, 3694, 16, 3820, 19, 34879, 8, 1007, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 657, 4, 85, 3136, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 4246, 10, 33215, 13931, 9, 230, 10431, 73, 534, 10431, 6, 12608, 119, 6, 8, 274, 10431, 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, 0, 0, 0, 0 ]	[ 58402, 51503, 56190, 52115, 51503, 53467, 51503, 56962, 51736, 51324, 58509, 54789, 50973, 50795, 51324, 58647, 51503, 56962, 51923, 51324, 58509, 50795, 58439, 56730, 52115, 51503, 52296, 50989, 79818, 51503, 52359, 51360, 58509, 54789, 51360, 59123, 53658, 51360, 51757, 50989, 51923, 51966, 58509, 50795, 58439, 56962, 52115, 51503, 53467, 51503, 59625, 51736, 51324, 64404, 54789, 50965, 50795, 51324, 58647, 51503, 59625, 51923, 51324, 64404, 50795, 58439, 56962, 52115, 51503, 52296, 50989, 79818, 51503, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51966, 64404, 50795, 62856, 50800, 51503, 56190, 55728, 51147, 51835, 51503, 53467, 51147, 50800, 51503, 56962, 51736, 51324, 58509, 51646, 51114, 52831, 68631, 50973, 50795, 51324, 50967, 50447, 51114, 51757, 51503, 56962, 51923, 51324, 58509, 50795, 58540, 50800, 51503, 56730, 55728, 51028, 51835, 51503, 52296, 67243, 50989, 79818, 51503, 52359, 51360, 58509, 54789, 51360, 59123, 53658, 51360, 51757, 50989, 51923, 51966, 58509, 50795, 58439, 56962, 52115, 51503, 53467, 51503, 59625, 51736, 51324, 64404, 54789, 50965, 50795, 51324, 58647, 51503, 59625, 51923, 51324, 64404, 50795, 58439, 56962, 52115, 51503, 52296, 50989, 79818, 51503, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51966, 64404, 50795, 58439, 56190, 66107, 53561, 51503, 53467, 51503, 56962, 51736, 51503, 58509, 59688, 58627, 50973, 50795, 51503, 58647, 51503, 56962, 51923, 51503, 58509, 50795, 58066, 56730, 52115, 51324, 52296, 50989, 79818, 51324, 52359, 51324, 58509, 54789, 51324, 59123, 53658, 51324, 51757, 50989, 51923, 51966, 58509, 50795, 57497, 56962, 52115, 51360, 53467, 51360, 59625, 51736, 51360, 64404, 54789, 50965, 62515, 58647, 51360, 59625, 51923, 51360, 64404, 50795, 57497, 56962, 52115, 51360, 52296, 50989, 79818, 51360, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51197, 64404, 50795, 62856, 50800, 51503, 56190, 55728, 51147, 51835, 51503, 53467, 51147, 50800, 51503, 56962, 51736, 51503, 58509, 51646, 51114, 52831, 68631, 50973, 50795, 51503, 50967, 50447, 51114, 51757, 51503, 56962, 51923, 51503, 58509, 50795, 58540, 70419, 56730, 55728, 51028, 51835, 51324, 52296, 67243, 50989, 79818, 51324, 52359, 51324, 58509, 54789, 51324, 59123, 53658, 51324, 51757, 50989, 51923, 51966, 58509, 50795, 57497, 56962, 52115, 51360, 53467, 51360, 59625, 51736, 51360, 64404, 54789, 50965, 62515, 58647, 51360, 59625, 51923, 51360, 64404, 50795, 57497, 56962, 52115, 51360, 52296, 50989, 79818, 51360, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51197, 64404, 50795, 66302, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50432, 51147, 52728, 51086, 50807, 58066, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 57497, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 62856, 50800, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 64163, 51147, 52296, 51147, 51724, 51114, 52831, 51114, 52513, 51114, 51757, 51086, 50807, 58540, 50800, 51197, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50906, 64163, 51028, 52296, 67243, 57497, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 66302, 50807, 51220, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50432, 51147, 78210, 52728, 51086, 50807, 73607, 50807, 51324, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50432, 51220, 52728, 51114, 53312, 51147, 50807, 57497, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 50450, 51114, 53312, 51147, 50807, 62856, 50800, 51220, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 64163, 51147, 52296, 51147, 51628, 51147, 52424, 51114, 52831, 51114, 52513, 51114, 51757, 51086, 50807, 58540, 50800, 51399, 50807, 51197, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50906, 64163, 51028, 52296, 51028, 51628, 51220, 52728, 51081, 50807, 62856, 50807, 51360, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 57190, 57981, 66107, 50807, 51220, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50423, 50965, 57981, 51736, 50965, 57981, 59688, 78210, 58627, 50965, 57981, 51798, 50965, 57981, 68339, 76679, 50973, 57367, 50795, 73607, 50807, 51324, 51036, 51086, 51036, 50956, 51036, 50989, 56100, 50973, 57367, 54253, 50973, 57367, 51736, 51220, 52424, 50973, 57367, 53658, 50973, 57367, 51798, 51114, 53312, 50973, 57367, 59688, 50807, 58540, 61907, 62515, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 50423, 51028, 61907, 51736, 51028, 61907, 54789, 51028, 61907, 51798, 51028, 61907, 54093, 51028, 76291, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 56100, 51028, 56645, 54253, 51028, 56645, 51646, 51028, 56645, 53658, 51028, 56645, 51798, 51114, 53312, 51028, 56645, 59688, 50807, 62856, 62674, 57981, 66107, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 64163, 51147, 52296, 51147, 62674, 57981, 51736, 50965, 57981, 59688, 52424, 51114, 52831, 51114, 62674, 57981, 53658, 51114, 51757, 50965, 57981, 68339, 76679, 51028, 61907, 50795, 58540, 50800, 51399, 50807, 51197, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50906, 64163, 51028, 51835, 51028, 61907, 53471, 51028, 52765, 51028, 61907, 51736, 51220, 52424, 51028, 61907, 53658, 51028, 61907, 51798, 51081, 53312, 51028, 61907, 50795, 58540, 59688, 59688, 50807, 51360, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 50423, 51028, 59688, 51736, 51028, 59688, 54789, 51028, 59688, 51798, 51028, 59688, 54093, 51028, 59688, 50795, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 56100, 51028, 59688, 54253, 51028, 59688, 51646, 51028, 59688, 53658, 51028, 59688, 51923, 51028, 59688, 50795, 58439, 56962, 57981, 66107, 50807, 51176, 51036, 50956, 51036, 50965, 56100, 51503, 53467, 51503, 56962, 57981, 51736, 51503, 56962, 57981, 59688, 58627, 50965, 57981, 50795, 51503, 58647, 51503, 56962, 57981, 51923, 51503, 54093, 50973, 57367, 50795, 58066, 74213, 50807, 51086, 51036, 50956, 51036, 50989, 56100, 51324, 50800, 50973, 57367, 79818, 51324, 54056, 50973, 57367, 51736, 51324, 66107, 52424, 50973, 57367, 54789, 51324, 52513, 51324, 50800, 50973, 57367, 51798, 51114, 53312, 51966, 56190, 57367, 59688, 50807, 57497, 57981, 61907, 64404, 51036, 50989, 51036, 50965, 56100, 51360, 53467, 51360, 57981, 61907, 51736, 51360, 57981, 61907, 54789, 51028, 61907, 62515, 58647, 51360, 57981, 61907, 51923, 51360, 54093, 51028, 76291, 57497, 64404, 51036, 50871, 51036, 50965, 56100, 63049, 51028, 76291, 50424, 51360, 54056, 51028, 56645, 51736, 51360, 51646, 51028, 56645, 54789, 51360, 52513, 63049, 51028, 56645, 51798, 51114, 53312, 51197, 57981, 56645, 59688, 50807, 58439, 56962, 57981, 66107, 50807, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 56100, 51503, 53467, 51503, 56962, 57981, 51736, 51503, 56962, 57981, 59688, 58627, 50965, 57981, 50795, 51503, 58647, 51503, 56962, 57981, 51923, 51503, 54093, 51028, 61907, 50795, 55881, 74213, 50807, 51086, 51036, 50956, 51036, 50989 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 25306, 619, 6, 4246, 13305, 6, 21072, 6, 21979, 8669, 6, 6755, 12547, 6, 8, 38668, 11212, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 16331, 33215, 16739, 9, 230, 119, 6, 274, 6, 230, 119, 6, 2060, 119, 1176, 406, 6, 8, 272, 17992, 7, 63, 9066, 8, 32076, 1619, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50453, 50931, 50924, 60212, 50999, 60021, 51234, 51962, 50326, 55428, 54522, 53849, 53679, 53849, 55796, 55392, 59601, 55392, 75862, 50454, 51050, 51824, 52190, 51058, 51070, 51470, 51601, 50997, 52192, 50832, 50917, 52005, 68087, 51470, 50425, 50900, 51376, 52190, 51058, 51070, 51824, 56514, 52731, 50435, 50899, 51058, 50913, 51174, 52190, 51021, 55513, 51824, 51070, 52731, 50450, 51236, 54887, 50454, 50997, 51824, 50913, 51058, 51809, 51050, 52048, 50913, 54071, 51070, 52192, 50421, 53679, 50363, 50412, 56947, 50978, 52507, 62321, 56336, 53849, 59601, 59828, 75862, 50436, 52190, 51058, 51070, 51470, 56514, 51470, 50445, 51062, 66639, 50917, 50455, 52190, 51058, 51070, 51824, 50460, 52005, 51470, 52177, 51146, 50917, 50913, 51174, 52190, 51021, 52005, 57104, 51062, 51006, 51845, 51376, 51070, 52731, 50431, 51845, 52731, 50436, 50999, 50917, 51925, 70739, 51376, 52819, 52192, 50446, 50913, 54071, 51070, 52192, 50456, 51197, 52169, 50326, 52069, 53953, 62321, 53679, 62321, 56679, 58651, 56336, 57598, 59601, 57771, 75862, 52478, 50997, 51470, 52190, 51058, 51070, 51470, 50427, 50899, 52192, 50832, 50917, 52005, 68087, 51470, 50437, 50956, 59977, 50328, 51411, 52190, 51058, 51070, 51824, 56514, 52731, 50447, 50861, 57800, 50321, 77227, 51174, 52190, 61063, 51070, 52731, 50461, 51236, 54887, 52478, 50876, 51448, 50913, 51058, 50428, 50913, 54071, 51070, 52192, 62275, 51254, 53465, 55174, 56679, 56515, 56336, 55392, 59601, 57771, 51889, 68527, 51026, 52192, 52190, 51058, 51070, 51470, 56514, 51470, 50457, 51081, 76553, 53957, 50832, 50917, 53069, 50956, 52782, 52190, 51058, 51070, 51824, 50424, 52005, 51470, 78312, 57800, 50328, 50987, 50913, 51174, 52190, 51021, 52005, 56480, 51081, 51470, 51845, 51376, 51070, 52731, 50443, 51845, 52731, 50448, 51147, 51006, 51925, 70739, 51376, 52819, 52192, 50458, 51147, 54071, 50913, 54071, 51070, 52192, 51601, 51062, 51824, 60284, 57800, 50333, 51134, 51889, 69353, 50900, 51254, 52190, 51058, 51070, 51470, 69332, 51824, 50832, 50917, 52005, 68087, 51470, 50449, 50965, 51470, 52190, 51058, 51070, 51824, 56514, 52731, 50458, 50906, 51824, 50913, 51174, 52190, 51021, 52591, 50876, 52192, 51070, 52731, 50425, 51236, 54887, 50430, 50931, 52731, 50913, 51058, 50440, 50913, 54071, 51070, 52192, 50442, 50931, 55765, 50443, 51147, 51550, 50445, 51062, 51123, 50448, 51339, 52989, 51889, 67238, 52190, 51058, 51070, 51470, 56514, 51470, 55753, 50832, 50917, 50424, 50758, 50336, 53098, 73113, 70898, 76499, 60155, 60891, 61699, 61867, 71135, 51058, 51070, 51824, 50432, 70877, 58662, 57205, 50822, 58458, 64359, 62218, 50870, 60468, 54858, 50616, 51470, 50437, 57205, 58751, 61948, 50910, 60468, 76428, 50945, 51413, 50871, 76028, 50924, 51743, 51535, 52036, 51103, 51224, 51138, 50913, 51174, 52190, 51021, 52005, 72927, 64243, 79392, 61948, 54626, 51845, 51376, 51070, 52731, 50455, 51845, 52731, 50460, 50964, 51134, 50877, 51710, 50325, 50924, 51656, 51318, 52430, 51310, 62672, 50938, 51326, 51138, 51925, 70739, 51376, 52819, 52192, 56020, 51289, 51138, 50913, 54071, 51070, 52192, 50431, 51096, 54454, 51234, 64152, 55428, 51081, 55428, 51863, 52071, 52735, 51991, 60468, 53651, 54522, 56235, 55796, 58643, 51037, 54454, 50798, 54444, 50917, 51335, 50937, 51070, 50977, 50441, 51050, 51824, 50872, 52136, 50791, 51254, 51889, 51058, 51070, 51376, 50451, 50997, 52192, 50939, 79427, 50924, 51070, 51376, 50460, 50900, 51376, 51007, 51795, 50791, 52782, 52190, 51174, 51070, 51470, 56020, 50899, 51058, 51711, 52069, 52626, 51894, 79843, 50903, 57725, 52715, 50936, 52190, 50938, 51070, 50977, 50970, 51627, 56014, 51824, 50791, 51824, 51236, 50977, 51070, 51824, 50442, 50997, 51824, 50939, 66009, 51006, 51240, 51824, 51070, 51470, 50947, 51189, 50452, 51096, 51411, 51050, 52048, 50872, 58571, 56022, 52192, 51240, 50917, 51070, 77403, 51007, 57070, 50913, 51254, 50460, 51064, 51662, 50461, 51443, 53487, 51026, 50978, 51838, 51714, 52886, 52069, 56336, 53454, 50988, 53898, 50798, 54444, 50924, 51070, 54071, 57731, 50848, 73844, 51376, 51889, 50924, 51070, 51824, 50433, 51062, 50924, 57205, 76601, 69365, 50987, 74113, 50442, 50939, 52392, 50791, 51470, 52190, 51058, 51070, 51470, 51618, 52782, 50452, 51146, 50917, 51711, 51413, 52626, 51446, 58448, 50938, 50847, 51294, 50903, 57725, 52715, 50924, 52190, 50917, 74113, 59733, 51006, 57205, 51254, 50848, 53957, 50791, 76524, 51376, 52190, 50924, 51070, 51470, 50419, 50791, 52192, 50913, 51174, 50424, 51096, 51562, 50999, 50917, 51863, 51397, 52735, 51562, 62672, 76601, 51400, 50843, 51058, 51070, 55811, 50428, 51236, 51376, 50433, 78547, 50852, 50977, 51240, 50978, 51070, 52192, 50443, 51105, 53651, 51197, 52169, 50326, 52069, 51615, 52151, 52137, 51991, 60468, 51803, 53953, 58962, 53361, 57820, 56336, 55408, 59601, 55482, 51751, 53898, 50798, 54444, 50917, 51070, 77462, 50997, 51470, 50979, 52188, 50791, 51254, 51889, 51058, 51070, 51376, 54206, 52192, 50847, 76104, 50924, 51070, 51376, 50424, 50956, 59977, 50328, 51411, 57205, 51162, 50847, 52192, 50939, 53435, 50791, 52782, 52190, 51174, 51070, 51470, 50425, 53729, 51162, 73866, 57800, 50321, 51448, 51863, 52069, 52735, 51894, 61948, 51351, 50847, 51346, 50903, 57725, 52715, 50936, 52190, 50938, 51070, 50977, 51438, 72758, 50979, 52378, 50791, 51824, 51236, 50977, 51070, 51824, 50453, 51032, 51933, 50454, 50876, 51448, 65918, 51103, 50847, 51345, 50791, 51006, 51240, 51824, 51070, 51470, 51601, 50927, 50866, 50979, 51576, 50798, 56022, 52192, 51240, 50917, 51070, 51470, 56063, 51254, 50425, 50964, 52903, 51085, 51254, 51711, 52919, 52626, 53259, 53460, 51293, 53465, 51293, 56679, 51447, 56336, 52644, 59601, 53478, 50885, 53898, 50798, 54444, 50924, 51070, 54071, 50435, 51026, 52192, 50847, 51419, 50791, 51376, 51889, 50924, 51070, 51824, 50444, 51081, 76553, 53957, 60468, 51162, 50909, 69365, 50987, 74113, 51408, 51189, 50454, 50956, 52782, 50847, 76104, 51470, 52190, 51058, 51070, 51470, 51621, 52782, 51809, 50871, 57800, 50328, 50987, 57205, 50978, 51298, 51285, 50903, 57725, 52715, 50924, 52190, 50917, 74113, 51334, 51116, 50424, 51408, 51645, 50426, 51081, 51470, 60468, 51006, 50847, 51679, 50791, 76524, 51376, 52190, 50924, 51070, 51470, 55994, 52192, 50913, 51174, 50434, 51674, 51448, 50436, 51147, 51006, 52340, 51477, 54339, 51295, 64243, 51351, 50939, 50980, 50843, 51058, 51070, 55811, 50440, 51236, 51376, 50445, 51147, 54071, 50909, 51400, 50852, 50977, 51240, 50978, 51070, 52192, 50450, 51062, 51824, 50454, 51893, 51790, 51438, 63318, 50945, 53363, 51050, 57800, 50333, 51134, 52036, 55408, 53718, 54153, 58458, 51452, 52693, 52096, 53465, 52204, 55796, 52122, 66789, 52121, 51164, 53090, 50798, 54444, 50917, 51070, 59960, 51438, 61688, 51438, 50982, 51601, 51438, 56231, 50900, 51254, 50872, 51576, 50791, 51254, 51889, 51058, 51070, 51376, 51438, 66478, 51438, 59993, 59601, 56599, 50423, 51438, 59509, 51438, 52966, 50871, 51824, 50939, 51345, 50791, 50924, 51070, 51376, 50427, 51438, 57845, 51438, 59278, 51438, 60002, 51438, 54288, 51438, 60591, 50965, 51470, 50909, 66009, 52782, 51224, 50860, 52190, 51174, 51070, 71552, 51438, 58751, 51438, 61577, 51438, 54434, 51438, 59002, 51256, 51003, 76495, 51824, 61948, 50866 ]
[ 0, 713, 17627, 17274, 3152, 8, 3495, 2214, 6, 278, 11, 10, 20902, 132, 73, 306, 86, 6543, 6, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 81, 9756, 8669, 8, 8669, 21040, 2857, 185, 5, 483, 6, 2800, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 96, 5, 762, 9, 230, 538, 6, 5, 2125, 5705, 25614, 2629, 5, 33215, 16739, 9, 1918, 6, 272, 6, 274, 6, 3676, 6, 8, 272, 6, 2705, 4945, 63, 33928, 8, 20425, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 69434, 69808, 55382, 51321, 52565, 51321, 52396, 51321, 50818, 70878, 51189, 51323, 51189, 51478, 51189, 52106, 51189, 52150, 51189, 51107, 51492, 51201, 51492, 51284, 51492, 51507, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51323, 50914, 51478, 50914, 52106, 50914, 51507, 58253, 52599, 51507, 61619, 70398, 55920, 50856, 52848, 51497, 50849, 66710, 51478, 53834, 58971, 70398, 54712, 51497, 50914, 51323, 50914, 51478, 61035, 50833, 61697, 67275, 70398, 55446, 51497, 51103, 51323, 51103, 51770, 51103, 50856, 50833, 52389, 58971, 70398, 53917, 51507, 58253, 52599, 51507, 61619, 70499, 54651, 50856, 55268, 50798, 58971, 52229, 52163, 79429, 52106, 50849, 52150, 57594, 50811, 50799, 51245, 51189, 51593, 51189, 51770, 51189, 51940, 51189, 51093, 51492, 51266, 51492, 51182, 51492, 51704, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51593, 50914, 52106, 50914, 51704, 58253, 52599, 51704, 61619, 70398, 55920, 51245, 50915, 51593, 62211, 52848, 50798, 58971, 70398, 54712, 51593, 51591, 51770, 51591, 51940, 51591, 50856, 50833, 68154, 67275, 70398, 50882, 53158, 50833, 52389, 58971, 70398, 53917, 51704, 58253, 52599, 51704, 61619, 70499, 54651, 50856, 55268, 51404, 50914, 51245, 50914, 51593, 56001, 58971, 52229, 52163, 75550, 50799, 51839, 51189, 51478, 51189, 52150, 51189, 51165, 51492, 51107, 51492, 51201, 51492, 52237, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51839, 50914, 51478, 50914, 51940, 50914, 52237, 58253, 51724, 52237, 61619, 52229, 55920, 50856, 53688, 51839, 50849, 79429, 52106, 50849, 53212, 51024, 54403, 51497, 51103, 51839, 51103, 51478, 51103, 52723, 51259, 50812, 64846, 67275, 52229, 51014, 53158, 50833, 51302, 54286, 65846, 51839, 51189, 51478, 51189, 52106, 51189, 52237, 58253, 53415, 52237, 61619, 52229, 55920, 50856, 54596, 51839, 50849, 79429, 52106, 53888, 54286, 54712, 51323, 51103, 51593, 51103, 51770, 51103, 51940, 51103, 52615, 51259, 50860, 64554, 51036, 77215, 51266, 51036, 51785, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51347, 51103, 51404, 51103, 51323, 51103, 51785, 58253, 51724, 51785, 61619, 52229, 55920, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 66325, 50807, 66287, 67837, 51704, 56203, 52229, 51014, 53158, 53049, 77492, 51245, 50849, 51593, 50849, 67914, 66287, 67837, 51704, 56858, 54286, 65846, 51404, 50914, 51245, 50914, 51593, 61035, 53415, 67914, 66287, 67837, 51704, 56203, 54286, 55920, 51404, 51189, 51245, 51189, 51593, 51189, 50856, 54755, 67914, 66287, 67837, 51704, 56858, 52229, 54712, 52615, 51259, 50860, 50799, 52150, 51189, 73604, 51189, 51107, 51492, 51201, 51492, 51284, 51492, 51507, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51940, 50849, 74704, 50849, 51507, 58253, 52599, 52106, 51159, 73109, 51159, 51507, 61619, 70398, 55920, 50856, 52848, 51770, 50849, 68475, 53834, 58971, 70398, 54712, 51478, 50914, 65119, 61035, 50833, 61697, 67275, 70398, 55446, 51770, 51189, 68475, 51189, 50856, 50833, 52389, 58971, 70398, 53917, 51507, 58253, 52599, 51507, 61619, 70499, 54651, 50856, 55268, 52106, 50849, 73109, 53834, 58971, 52229, 52163, 52150, 50849, 73604, 57594, 50811, 50799, 51940, 51189, 74704, 51189, 51093, 51492, 51266, 51492, 51182, 51492, 51704, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 52106, 50849, 73109, 50849, 51704, 58253, 52599, 51770, 51159, 68475, 51159, 51704, 61619, 70398, 55920, 50856, 52848, 52106, 50849, 73109, 53834, 58971, 70398, 54712, 51940, 51591, 74704, 51591, 50856, 50833, 68154, 67275, 70398, 50882, 53158, 50833, 52389, 58971, 70398, 53917, 51704, 58253, 52599, 51704, 61619, 70499, 54651, 50856, 55268, 50798, 58971, 52229, 52163, 75550, 50799, 52150, 51159, 73604, 51159, 51165, 51492, 51107, 51492, 51201, 51492, 52237, 51283, 52055, 51024, 50949, 53158, 52710, 52150, 50849, 73604, 53888, 70398, 54440, 51940, 51189, 74704, 51189, 52237, 58253, 51724, 52237, 61619, 52229, 55920, 50856, 53688, 52106, 50849, 73109, 50849, 53212, 51024, 54403, 51478, 51103, 65119, 51103, 52723, 51259, 50812, 64846, 67275, 52229, 51014, 53158, 50833, 51302, 54286, 65846, 51770, 50849, 68475, 50849, 52237, 58253, 53415, 52106, 51159, 73109, 51159, 52237, 61619, 52229, 55920, 50856, 54596, 52150, 50849, 73604, 53888, 54286, 54712, 51940, 51103, 74704, 51103, 52615, 51259, 50860, 64554, 51036, 77215, 51266, 51036, 51785, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51593, 51103, 63198, 51103, 51785, 58253, 51724, 51785, 61619, 52229, 55920, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 66325, 50807, 66287, 67837, 51704, 56203, 52229, 51014, 53158, 53049, 77492, 51245, 50849, 51593, 50849, 67914, 66287, 67837, 51704, 56858, 54286, 65846, 51404, 50914, 51245, 50914, 51593, 61035, 53415, 67914, 66287, 67837, 51704, 56203, 54286, 55920, 51404, 51189, 51245, 51189, 51593, 51189, 50856, 54755, 67914, 66287, 67837, 51704, 56858, 52229, 54712, 52615, 51259, 50860, 50799, 52150, 51189, 73604, 51189, 51107, 51492, 51201, 51492, 51284, 51492, 51507, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51940, 50849, 74704, 50849, 51507, 58253, 52599, 52106, 51159, 73109, 51159, 51507, 61619, 70398, 55920, 50856, 52848, 51770, 50849, 68475, 53834, 58971, 70398, 54712, 51478, 50914, 65119, 61035, 50833, 61697, 67275, 70398, 55446, 51770, 51189, 68475, 51189, 50856, 50833, 52389, 58971, 70398, 53917, 51507, 58253, 52599, 51507, 61619, 70499, 54651, 52150, 51159, 73604, 51159, 50856, 55268, 50798, 58971, 52229, 52163, 75550, 50799, 51940, 51189, 74704, 51189, 51093, 51492, 51266, 51492, 51182, 51492, 51704, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 52106, 50849, 73109, 50849, 51704, 58253, 52599, 51770, 51159, 68475, 51159, 51704, 61619, 70398, 55920, 50856, 52848, 52106, 50849, 73109, 53834, 58971, 70398, 54712, 51940, 51591, 74704, 51591, 50856, 50833, 68154, 67275, 70398, 50882, 53158, 50833, 52389, 58971, 70398, 53917, 51704, 58253, 52599, 51704, 61619, 70499, 54651, 50856, 55268, 50798, 58971, 52229, 52163, 51593, 50849, 63198, 57594, 50811, 50799, 52150, 51159, 73604, 51159, 51165, 51492, 51107, 51492, 51201, 51492, 52237, 51283, 52055, 51024, 50949, 53158, 52710, 52150, 50849, 73604, 53888, 70398, 54440, 51940, 50914, 74704, 50914, 52237, 58253, 51724, 52237, 61619, 52229, 55920, 52106, 51189, 73109, 51189, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 76676, 51159, 65119, 51159, 52237, 67275, 52229, 51014, 53158, 53049, 51770, 50849, 68475, 53888, 54286, 65846, 52106, 51189, 73109, 51189, 52237, 58253, 53415, 52237, 61619, 52229, 55920, 50856, 54596, 52150, 50849, 73604, 53888, 54286, 54712, 51940, 51103, 74704, 51103, 52615, 51259, 50860, 64554, 51036, 77215, 51266, 51036, 51785, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51593, 51103, 63198, 51103, 51785, 58253, 51724, 51785, 61619, 52229, 55920, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 66325, 50807, 66287, 67837, 51704, 56203, 52229, 51014, 53158, 53049, 77492, 51245, 50849, 51593, 50849, 67914, 66287, 67837, 51704, 56858, 54286, 65846, 51404, 50914, 51245, 50914, 51593 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 10431, 538, 6, 4246, 10, 13305, 6, 21072, 6, 8, 2236, 1021, 2678, 29, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 6, 26545, 6, 8, 11098, 6, 19, 10, 11602, 9, 1619, 4780, 4, 20, 1049, 33215, 16739, 10726, 9, 2060, 6, 274, 10431, 6, 230, 10431, 73, 717, 10431, 6, 8, 12608, 119, 406, 4, 152, 8787, 15229, 11498, 10, 5204, 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 ]	[ 57528, 50796, 55986, 53356, 50843, 55379, 50843, 54044, 50843, 50982, 57346, 51675, 50989, 51675, 51966, 51677, 51378, 51677, 55057, 54044, 50843, 51004, 50906, 53702, 51378, 52140, 55694, 51790, 50916, 51591, 51966, 51714, 55057, 55038, 50843, 51004, 51040, 51159, 50965, 77304, 51966, 50810, 57542, 51790, 50956, 51452, 51324, 51714, 50989, 51151, 55057, 57536, 51086, 51637, 57702, 51129, 70585, 50456, 51324, 51470, 55435, 51803, 51040, 51803, 51966, 51518, 50989, 52071, 55057, 54044, 50843, 51258, 51040, 50795, 50799, 55161, 52431, 52708, 52335, 50997, 51183, 51040, 51127, 51378, 51692, 51966, 51714, 55057, 56663, 54570, 52059, 50843, 51004, 50906, 62034, 51378, 51592, 50799, 55161, 51671, 52708, 52140, 51040, 51790, 50906, 51452, 50989, 51675, 51966, 51945, 55057, 54406, 51378, 68500, 53216, 51380, 50843, 51004, 50989, 78054, 56974, 51378, 50835, 50799, 61906, 52431, 54570, 51592, 50965, 51790, 50871, 51790, 51040, 51742, 51360, 52069, 55057, 55038, 55161, 51709, 50843, 51004, 51040, 59198, 61419, 53586, 51360, 51790, 50799, 61906, 51490, 53216, 51080, 51040, 51397, 50871, 51562, 50973, 51397, 55057, 54203, 55161, 51642, 54570, 51309, 51040, 52256, 57428, 57197, 61906, 51330, 53216, 62726, 51004, 51028, 51923, 51040, 50820, 50799, 55161, 53142, 52708, 52335, 52421, 52204, 52317, 52204, 53146, 52829, 53815, 52204, 53125, 52204, 54466, 52204, 51040, 51145, 50989, 51452, 51966, 51790, 50997, 51662, 55057, 57536, 51040, 52059, 57702, 51129, 50965, 51519, 50286, 70854, 51040, 50828, 50799, 55161, 51447, 52708, 51939, 52328, 51243, 54867, 51243, 51966, 51183, 50906, 51591, 51040, 51591, 55057, 57481, 61906, 52454, 50288, 51534, 50450, 54570, 51333, 52753, 62726, 51129, 51234, 51025, 51040, 51025, 50965, 51377, 50799, 55683, 51314, 52708, 51314, 52421, 51243, 52333, 51671, 53426, 51449, 53815, 51449, 52867, 51243, 53475, 51449, 51086, 51790, 51324, 51945, 50956, 51945, 50989, 52071, 55057, 55038, 61906, 51806, 53216, 51199, 52753, 51108, 50843, 51129, 51086, 51174, 50799, 55161, 52140, 52708, 51592, 52421, 51449, 52317, 51449, 53146, 51449, 53815, 51243, 53125, 51449, 54466, 51449, 51040, 51417, 50997, 51047, 50989, 51452, 51378, 51353, 55057, 55379, 51040, 53624, 50997, 51477, 57702, 51129, 50989, 51159, 50799, 52708, 51637, 52077, 51310, 53773, 51318, 52421, 51243, 52317, 51449, 53146, 51449, 52328, 51449, 53815, 51449, 53125, 51243, 54466, 51243, 54867, 51449, 50997, 51480, 51040, 51775, 50989, 51411, 51966, 52222, 55057, 54203, 52708, 51172, 52077, 51480, 53773, 51480, 51040, 63772, 61026, 51177, 50446, 51040, 54386, 50450, 52708, 51645, 52077, 51412, 53773, 51412, 50843, 51004, 50906, 52014, 50310, 52961, 51040, 53902, 52753, 50837, 55272, 50867, 52525, 59175, 52708, 56834, 52077, 50829, 53773, 50834, 50799, 52088, 51637, 52753, 51318, 52561, 51310, 52977, 51449, 53146, 51449, 52463, 51449, 54575, 51449, 54466, 51243, 55517, 51449, 50871, 51127, 51040, 51103, 50965, 51945, 51360, 52069, 55057, 55379, 52088, 51645, 52753, 51363, 52561, 51412, 71289, 53161, 50450, 52088, 51172, 52753, 51203, 52561, 51363, 50843, 51129, 50871, 67238, 52708, 50864, 51855, 50829, 53773, 65315, 52753, 56172, 52088, 50837, 52561, 50834, 50799, 53216, 51637, 52708, 51318, 52914, 51318, 52421, 51801, 52333, 51314, 53426, 52263, 53815, 52829, 52867, 51314, 53475, 51878, 50956, 51189, 51086, 51218, 50989, 51218, 51324, 51218, 55057, 55379, 54570, 51484, 52708, 51480, 52655, 51480, 52317, 51645, 53146, 51108, 53125, 51645, 54466, 52026, 50302, 52434, 50305, 51588, 50290, 64813, 55125, 55683, 51709, 52708, 51363, 52914, 51411, 52977, 51484, 52333, 51709, 54575, 52188, 52867, 51806, 50843, 51129, 51176, 51514, 50303, 66199, 51458, 50288, 51177, 50799, 55161, 51314, 52708, 51148, 52655, 51148, 52317, 51449, 53146, 51449, 53125, 51449, 54466, 51243, 51966, 51400, 50997, 51400, 51040, 51400, 50989, 51400, 55057, 51258, 50441, 50775, 50338, 52231, 50775, 50337, 55084, 50443, 50775, 50333, 54618, 50775, 50342, 54618, 50446, 50775, 50335, 51737, 50450, 50770, 50271, 50914, 50770, 50300, 66799, 51004, 50775, 50337, 51269, 50775, 50330, 53892, 50452, 50775, 50338, 50984, 50455, 50775, 50340, 72806, 50775, 50342, 65897, 50775, 50333, 51008, 50461, 52000, 51445, 51917, 51359, 50775, 50338, 50867, 50799, 65141, 51124, 52166, 50884, 56194, 51714, 52557, 52071, 52435, 51714, 51944, 52071, 51547, 52392, 50775, 50342, 51212, 50417, 50775, 50330, 51381, 50418, 51513, 54213, 53580, 51370, 50846, 51659, 59891, 50775, 50333, 50972, 50424, 55160, 50817, 51659, 50829, 50775, 50335, 53957, 50426, 52891, 72637, 54724, 54192, 51139, 50884, 50775, 50337, 54298, 50430, 56465, 51659, 53670, 52891, 50807, 64272, 50820, 50775, 50338, 54618, 50433, 50775, 50332, 51832, 50435, 50775, 50340, 54060, 50436, 55022, 54005, 50834, 51659, 51306, 50775, 50328, 50359, 50400, 50438, 65141, 51446, 51897, 58408, 51659, 53858, 52608, 51464, 60794, 51513, 53068, 51525, 54724, 53989, 78696, 51659, 50991, 51453, 56419, 52557, 51662, 51513, 58841, 65141, 50839, 52435, 51662, 50461, 52000, 51445, 51917, 51353, 50799, 65141, 50967, 52166, 50895, 51944, 51422, 56194, 51353, 51547, 51605, 50418, 51513, 64706, 50895, 51659, 60548, 55160, 50817, 52436, 50879, 51659, 52905, 51525, 54724, 53989, 51130, 63248, 52656, 52079, 50837, 51659, 80029, 52079, 50834, 51659, 51129, 50436, 55022, 50818, 52436, 54005, 50891, 51659, 52621, 65141, 51159, 52455, 66331, 52656, 50809, 51659, 68202, 66119, 52436, 51346, 51513, 53057, 56915, 50845, 51525, 55211, 54192, 51139, 50883, 52557, 51109, 52435, 51312, 51929, 51109, 51659, 55764, 53900, 52839, 50884, 51513, 56603, 51912, 51445, 51772, 51359, 50799, 55393, 51124, 52455, 50884, 58748, 51692, 52745, 51422, 52027, 51422, 51944, 51422, 51547, 51605, 50418, 53580, 50825, 51513, 53420, 53580, 50887, 52112, 51659, 60955, 57953, 50817, 51659, 52762, 52891, 77326, 55211, 53989, 51130, 63519, 56465, 51659, 53575, 52891, 52348, 52786, 58316, 55160, 50818, 52891, 72934, 50829, 51659, 57481, 55393, 50983, 52166, 58408, 51659, 53384, 52608, 55280, 50448, 51513, 53057, 51525, 55211, 53989, 78696, 58748, 51003, 52745, 50925, 51660, 50943, 51929, 51056, 51659, 59592, 55393, 54042, 50884, 52745, 74238, 51513, 57243, 52000, 51445, 51917, 51353, 50799, 65141, 50967, 51897, 50884, 56194, 51692, 52557, 51675, 52435, 51692, 51944, 51518, 51547, 51605, 51729, 66089, 51513, 54213, 53580, 51421, 50895, 51659, 59825, 55160, 50817, 51659, 52905, 52891, 63631, 54724, 53989, 51139, 63519, 52891, 56691, 50863, 51659, 52818, 52608, 50955, 65616, 50834, 51659, 78573, 55022, 50818, 52891, 53345, 50908, 51659, 52766, 65141, 51191, 52166, 50884, 51543, 51022, 50442, 52656, 50809, 52459, 50862, 51180, 50895, 51543, 60852, 52891, 50967, 52557, 55256, 51525, 54724, 53989, 51130, 50883, 56194, 51411, 51659, 59753, 55022, 51178, 52745, 50879, 52027, 51111, 51944, 51151, 51453, 50895, 51513, 61145, 52000, 51243, 51917, 51151, 50799, 65141, 51116, 52455, 50884, 56194, 52071, 52557, 52069, 52435, 51945, 51547, 51605, 50418, 51513, 54213, 53580, 51370, 50818, 51659, 61159, 55160, 50817, 51659, 52762, 52891, 50383, 55913, 54724, 65987, 63248, 65811, 51659, 53575, 52891, 50859, 64272, 59990, 55022, 50818, 53580, 54390, 50829 ]
[ 0, 250, 33928, 8, 15352, 30054, 5175, 1619, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 10170, 1499, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 7212, 20889, 9, 8017, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 211, 6, 272, 6, 163, 406, 6, 381, 6, 8, 163, 119, 406, 428, 245, 3639, 7, 63, 12298, 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 ]	[ 57333, 50796, 50446, 51553, 53057, 51224, 56399, 51326, 50820, 52534, 51189, 51869, 51417, 51280, 51417, 51232, 51413, 58385, 58642, 57900, 54018, 50835, 60849, 74171, 50841, 62594, 51536, 59740, 62506, 51350, 50828, 62594, 51536, 60161, 51118, 50942, 51089, 50810, 58128, 50890, 59858, 50825, 56770, 50855, 51350, 50841, 73376, 51536, 59761, 51089, 50917, 51020, 55640, 72437, 71519, 68957, 52922, 50837, 59800, 50800, 51350, 50839, 73376, 51536, 58331, 62506, 51350, 50841, 68540, 51536, 56802, 51092, 50833, 64344, 51020, 59979, 69741, 63132, 52466, 51750, 54274, 50837, 59449, 50952, 51350, 50839, 68540, 51536, 53219, 51069, 50889, 51232, 51189, 51708, 51189, 51280, 63732, 53518, 50825, 51350, 50839, 69660, 51536, 59954, 51070, 50863, 51350, 50828, 51355, 50828, 51536, 59673, 51118, 50959, 51089, 50854, 58128, 51014, 59858, 50837, 56770, 50940, 51350, 50841, 69660, 51536, 58560, 51089, 58332, 51023, 50925, 51092, 50910, 50903, 52941, 50837, 51350, 50841, 51355, 50828, 51536, 59096, 51070, 50835, 51350, 50828, 69660, 51536, 58323, 51023, 70485, 50812, 64344, 58385, 50880, 59858, 50825, 60849, 50855, 51350, 50841, 51355, 50828, 51536, 50839, 52288, 51191, 51708, 51241, 51198, 51241, 51144, 51241, 57655, 53235, 53518, 50835, 56737, 50808, 77309, 51355, 50818, 51630, 63672, 51070, 50835, 79533, 69660, 51630, 60161, 51282, 50866, 51083, 50977, 58128, 51010, 59858, 50835, 56770, 50809, 79533, 51355, 63629, 59824, 51061, 50977, 51023, 55640, 51185, 50942, 57716, 62809, 53544, 50837, 55845, 50833, 51262, 50828, 69660, 51630, 58854, 62506, 77309, 51355, 50828, 51630, 59076, 51185, 50833, 51061, 65670, 59979, 50927, 50874, 71519, 51573, 58140, 69627, 59800, 51362, 51262, 50828, 51355, 50828, 51630, 53219, 75649, 52040, 51218, 51198, 51218, 51099, 69281, 53622, 50837, 68540, 51780, 50846, 51630, 59117, 76089, 68540, 51780, 63629, 59673, 73702, 51401, 50878, 51595, 50933, 60702, 50825, 68540, 51780, 63629, 58560, 51083, 55620, 51019, 51110, 71264, 51208, 50925, 50903, 52922, 50837, 73376, 51780, 50828, 51630, 57297, 51070, 50825, 68540, 51780, 50846, 51630, 57461, 70943, 51020, 50812, 51208, 50833, 51083, 51420, 54018, 50835, 51250, 50839, 51780, 63629, 50828, 52534, 51191, 51869, 51413, 51280, 51417, 51232, 51417, 58385, 57642, 54018, 50825, 60849, 50830, 51350, 50828, 51250, 50818, 51536, 63672, 51070, 50825, 51350, 50828, 62594, 51536, 60161, 51118, 50878, 66525, 57655, 51508, 53622, 50835, 56737, 50812, 51350, 50841, 73376, 51536, 59824, 51089, 50937, 51020, 57499, 72437, 58128, 76132, 52922, 50837, 56770, 50800, 51350, 50841, 73376, 51536, 58331, 51070, 50825, 51350, 50841, 68540, 51536, 57398, 51092, 50854, 64344, 51020, 59662, 50964, 50854, 63132, 53236, 51539, 53518, 50837, 59449, 50924, 51350, 50828, 73376, 51536, 53219, 51069, 51191, 51232, 51218, 51708, 51218, 51280, 63732, 53518, 50837, 51350, 50828, 51355, 50828, 51536, 59117, 76089, 51350, 50828, 51355, 50839, 51536, 57854, 51118, 51008, 66525, 55873, 50894, 59858, 50835, 57406, 50808, 51350, 50841, 69660, 51536, 58560, 51089, 58460, 51023, 50925, 51092, 50897, 58385, 60910, 52941, 50837, 60849, 50924, 51350, 50828, 51355, 50841, 51536, 59096, 62506, 51350, 50841, 51355, 50828, 51536, 57461, 51023, 65448, 50812, 64344, 60702, 50837, 51350, 50828, 51355, 50839, 51536, 50841, 52288, 50849, 76011, 51119, 50865, 57655, 61712, 54018, 50825, 56737, 50865, 51262, 50806, 51355, 50893, 51630, 50806, 50418, 51070, 60916, 58385, 50882, 60849, 50800, 51250, 50880, 51536, 50808, 51350, 58741, 51019, 50808, 51099, 50809, 51232, 50862, 68878, 52641, 50945, 51100, 71726, 51144, 50879, 51061, 78860, 50812, 51208, 50813, 55873, 51014, 50903, 50381, 52663, 57406, 50830, 51195, 50865, 51262, 51030, 51780, 50940, 50430, 51070, 58803, 51250, 50918, 51780, 51336, 51195, 51077, 51262, 51356, 50434, 50953, 50918, 51198, 51077, 51144, 51336, 51083, 51358, 51061, 51358, 51208, 51675, 55873, 52512, 56089, 57900, 53518, 50870, 57406, 51472, 50438, 51070, 59144, 51070, 58394, 51070, 52763, 62506, 50452, 51531, 62603, 52393, 58122, 53137, 51666, 60135, 52183, 60228, 58841, 51908, 55971, 51691, 50829, 52534, 51189, 52939, 50867, 58053, 51184, 52075, 51469, 51555, 51307, 51232, 50865, 51099, 50948, 51153, 54070, 53518, 50829, 51350, 50839, 73376, 51536, 61686, 53700, 50876, 53700, 50968, 53700, 50415, 51871, 51036, 51567, 51353, 50418, 51070, 50825, 51350, 50841, 73376, 51536, 58235, 60702, 50825, 51350, 50828, 51250, 50839, 51536, 52905, 51232, 50805, 64227, 51153, 51100, 50903, 50380, 52663, 51350, 50841, 68540, 51536, 58854, 62506, 51350, 50841, 73376, 51536, 58608, 50964, 53351, 51539, 54018, 50837, 51350, 50828, 51250, 50839, 51536, 53219, 50953, 50889, 51153, 51111, 51232, 50795, 51099, 52090, 53622, 50825, 51350, 50828, 68540, 51536, 59954, 62506, 51350, 50841, 68540, 51536, 58275, 60702, 50825, 51350, 50828, 73376, 51536, 53035, 51133, 51162, 51232, 50967, 51099, 51167, 51153, 51095, 50903, 52922, 50837, 51350, 50828, 73376, 51536, 59617, 62506, 51350, 50828, 73376, 51536, 58323, 59858, 50837, 51350, 50839, 51250, 50839, 51536, 50841, 52288, 51191, 52939, 52151, 58053, 53174, 52089, 51692, 51567, 51486, 52075, 51585, 51494, 50879, 51119, 51158, 51153, 59407, 53518, 50835, 51659, 50828, 51355, 50818, 51536, 77997, 54830, 50876, 54830, 50968, 54830, 50418, 51070, 50825, 51659, 50841, 69660, 51536, 57466, 60702, 50829, 51659, 50839, 51355, 50828, 51536, 52870, 51494, 50795, 80064, 51153, 51158, 50903, 50381, 52663, 51659, 50841, 69660, 51536, 58854, 62506, 51659, 50828, 51355, 50841, 51536, 58608, 50927, 53590, 51750, 53518, 50837, 51659, 50841, 51355, 50828, 51536, 53116, 51069, 51141, 51494, 51173, 51119, 51060, 51153, 63388, 53622, 50825, 51659, 50828, 69660, 51536, 59117, 51070, 50863, 51659, 50839, 51355, 50841, 51536, 57854, 60702, 50837, 51659, 50841, 51355, 50841, 51536, 58501, 56084, 51237, 51567, 59731, 52089, 50943, 51584, 50943, 51494, 50795, 51119, 51060, 51153, 59899, 50380, 52663, 51659, 50841, 51355, 50841, 51536, 50839, 50989, 71233, 70361, 52254, 50454, 62506, 51659, 50841, 51355, 50828, 51536, 57461, 60702, 50835, 51659, 50841, 51355, 50839, 51536, 58660, 51783, 51127, 52288, 51191, 58053, 51090, 51567, 51267, 52075, 51013, 51494, 51100, 80064, 51489, 60665, 53518, 50829, 51659, 50841, 51355, 50828, 52395, 69348, 59189, 50876, 56557, 50968, 52254, 50418, 62506, 51659, 50828, 51355, 50828, 52395, 57466, 59858, 50829, 51659, 50841, 51355, 50841, 52395, 52905, 56084, 51167, 51567, 51486, 51494, 51100, 51119, 51060, 51489, 51100, 50903, 52922, 50837, 51659, 50841, 51355, 50828, 52395, 70934, 53700, 50430, 62506, 51659, 50839, 51355, 50828, 52395, 52925, 50902, 53700, 50433, 56033, 51977, 51612, 51591, 50434, 50927, 53590, 51464, 69627, 51659, 50839, 51355, 50828, 52395, 53219, 51069, 51218, 51489, 51100, 51494, 51111, 51119, 65249, 54018, 50835, 51659, 50841, 51355, 50841, 52395, 59954, 76089, 51659, 50828, 51355, 50839, 52395, 57854, 52939, 50857, 68878, 50825, 51659, 50841, 69660, 52395, 60954, 51871, 53639, 51489, 51110, 51494, 51095, 51119, 51215, 50903, 53544, 50837, 51659, 50841, 51355, 50841, 52395, 57143, 53242, 61481, 52368, 58869, 50837, 51659, 50828, 51355, 50828, 52395, 52738, 53105 ]
[ 0, 250, 1769, 12, 20764, 15855, 2125, 14, 115, 1807, 25, 10, 5386, 8, 9066, 19834, 13, 10, 822, 4, 31103, 5675, 22052, 6, 2342, 4467, 6, 8, 17691, 28430, 35810, 561, 7, 1045, 41, 3722, 8, 814, 12, 21330, 15229, 11, 272, 538, 6, 3185, 30, 10, 16331, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 58969, 52910, 56825, 52424, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 58969, 50807, 56930, 52910, 56825, 52424, 62059, 50807, 59941, 58624, 56825, 53312, 66757, 52567, 59941, 50800, 50799, 70969, 50807, 61462, 52910, 56825, 52424, 57302, 50807, 61462, 52728, 56825, 50807, 50799, 66723, 50807, 56930, 52910, 56825, 52424, 70969, 50807, 61462, 58624, 56825, 53312, 59941, 52567, 61462, 50800, 50799, 58969, 50807, 70209, 52910, 56825, 52424, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 50695, 50296, 50807, 70209, 52910, 58969, 52424, 70121, 50807, 74356, 52728, 58969, 50807, 50799, 70121, 50807, 57195, 52910, 58969, 52424, 63276, 50807, 75618, 58624, 58185, 53312, 70209, 58839, 61462, 59107, 59941, 50809, 50799, 66723, 50807, 66757, 52910, 57302, 52424, 58185, 50807, 74356, 52728, 57302, 50807, 50799, 58969, 50807, 62059, 50807, 59941, 52910, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 58969, 50807, 56930, 52910, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 58624, 56825, 53312, 66757, 52567, 59941, 50800, 50799, 54108, 50807, 70969, 50807, 61462, 52910, 56825, 52424, 51596, 50807, 57302, 50807, 61462, 52728, 56825, 50807, 50799, 66723, 50807, 56930, 52910, 56825, 52424, 51596, 50807, 70969, 50807, 61462, 58624, 56825, 53312, 59941, 52567, 61462, 50800, 50799, 51789, 50807, 58969, 50807, 70209, 52910, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 54246, 50807, 50695, 50296, 50807, 70209, 52910, 58969, 52424, 52278, 50807, 66723, 50807, 74356, 52728, 58969, 50807, 50799, 58916, 50807, 70121, 50807, 57195, 52910, 58969, 52424, 51606, 50807, 63276, 50807, 75618, 58624, 58185, 53312, 70209, 58839, 61462, 59107, 59941, 50809, 73350, 50807, 66723, 50807, 66757, 52910, 57302, 52424, 51565, 50807, 58185, 50807, 74356, 52728, 57302, 50807, 72849, 50807, 58969, 50807, 62059, 50807, 59941, 52910, 55008, 50807, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 52728, 55008, 50807, 56825, 50807, 50799, 55008, 50807, 58969, 50807, 56930, 52910, 55008, 50807, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 58624, 55008, 50807, 56825, 53312, 66757, 52567, 59941, 50800, 50799, 54108, 50807, 70969, 50807, 61462, 52910, 51596, 50807, 56825, 52424, 51596, 50807, 57302, 50807, 61462, 52728, 51596, 50807, 56825, 50807, 73350, 50807, 66723, 50807, 56930, 52910, 51596, 50807, 56825, 52424, 51596, 50807, 70969, 50807, 61462, 58624, 51596, 50807, 56825, 53312, 59941, 52567, 61462, 50800, 50799, 51789, 50807, 58969, 50807, 70209, 52910, 55008, 50795, 56825, 53182, 55008, 51646, 55008, 50807, 58969, 50807, 59941, 52728, 55008, 50807, 56825, 50807, 50799, 52278, 50807, 50695, 50296, 50807, 70209, 52910, 51565, 50795, 58969, 53182, 51565, 51646, 51565, 50807, 66723, 50807, 74356, 52728, 51565, 50807, 58969, 50807, 50799, 52155, 50807, 70121, 50807, 57195, 53561, 52714, 51631, 52714, 50795, 58969, 53182, 52714, 51646, 52714, 50795, 63276, 50807, 75618, 60865, 52714, 51798, 52714, 50795, 58185, 53312, 52714, 50795, 70209, 58839, 61462, 59107, 59941, 50809, 50799, 58699, 50807, 66723, 50807, 66757, 53561, 51565, 51631, 51565, 50795, 58699, 50807, 57302, 53182, 51565, 51646, 51565, 50795, 58185, 50807, 74356, 53218, 51565, 51798, 51565, 50795, 57302, 53312, 51565, 50795, 72849, 50807, 79586, 50795, 59941, 53561, 58969, 51631, 51752, 50807, 54246, 50918, 79586, 50795, 56825, 50918, 55045, 62715, 58969, 51646, 79586, 51918, 58969, 51798, 54108, 50795, 79586, 50795, 57302, 50795, 56591, 51923, 55008, 50795, 58969, 50795, 62059, 50795, 55045, 50795, 50799, 58699, 50807, 79586, 50795, 58185, 50807, 59522, 53561, 58969, 51631, 58699, 50807, 79586, 50795, 58185, 50807, 59522, 53182, 58969, 51646, 55008, 50807, 79586, 50795, 62059, 50807, 55045, 53218, 58969, 51798, 54108, 50807, 79586, 50795, 57302, 50807, 56591, 53312, 58969, 50795, 50799, 55008, 50807, 79586, 50795, 62059, 50807, 55045, 53561, 58969, 51631, 51565, 50918, 55008, 50807, 79586, 50795, 58091, 50918, 56930, 62715, 58969, 51646, 79586, 51918, 58969, 51798, 51606, 50795, 79586, 50795, 56591, 50795, 56801, 51923, 51789, 50795, 58969, 50795, 55045, 50795, 58091, 50795, 73350, 50807, 79586, 50795, 59522, 50807, 56591, 53561, 58969, 51631, 51596, 50807, 79586, 50795, 59522, 50807, 56591, 53182, 58969, 51646, 51789, 50807, 79586, 50795, 55045, 50807, 58091, 53218, 58969, 51798, 51606, 50807, 79586, 50795, 56591, 50807, 56801, 53312, 58969, 50795, 68449, 50807, 79586, 50807, 55045, 50807, 58091, 52910, 51789, 52424, 54246, 50795, 55045, 50795, 58091, 51918, 52714, 50795, 56591, 50795, 56801, 51798, 52278, 50795, 58091, 50795, 56930, 51923, 54246, 50795, 55045, 50795, 58091, 50795, 50799, 54108, 50807, 66723, 50807, 56825, 50807, 59522, 50807, 56591, 52910, 54108, 52424, 54246, 50807, 58969, 50807, 56825, 50807, 55045, 50807, 58091, 52728, 54246, 50807, 50799, 54108, 50807, 66723, 50807, 56825, 50807, 59522, 50807, 56591, 52910, 61331, 52424, 51789, 50795, 59941, 50795, 70209, 51918, 51606, 50795, 61462, 50795, 75618, 51798, 51565, 50795, 70209, 50795, 74356, 51923, 51789, 50795, 59941, 50795, 70209, 50795, 73350, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50807, 61462, 52910, 51596, 52424, 51789, 50807, 58969, 50807, 62059, 50807, 59941, 50807, 70209, 52728, 51789, 50807, 73350, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50807, 61462, 52910, 51596, 50795, 58699, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50807, 61462, 53182, 51596, 51646, 51789, 50807, 55008, 50807, 58969, 50807, 62059, 50807, 59941, 50807, 70209, 52728, 51789, 50807, 55008, 50807, 58969, 50807, 62059, 50807, 59941, 50807, 70209, 50807, 73350, 50807, 58699, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50795, 61462, 52115, 56930, 51631, 51596, 50795, 58699, 50795, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50795, 61462, 51736, 51596, 50795, 58699, 50795, 56930, 51646, 51789, 50807, 55008, 50807, 58969, 50807, 62059, 50807, 59941, 50795, 70209, 51918, 56930, 51798, 51789, 50807, 54246, 50807, 58969, 50807, 62059, 50807, 59941, 50795, 70209, 51923, 56930, 50795, 73350, 50807, 52278, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 56930, 50807, 66757, 50807, 61462, 52910, 52182, 50807, 61331, 50807, 56825, 50807, 56591, 50807, 56930, 50807, 66757, 52424, 58185, 50807, 56591, 50807, 61462, 52728, 70969, 50807, 56930, 50807, 74356, 50807, 50799, 66723, 50807, 56825, 50807, 56930, 52910, 66723, 50807, 56825, 51736, 55846, 51646, 50695, 50298, 50807, 62514, 51918, 56825, 51798, 50695, 50296, 50807, 62059, 51923, 62514, 50795, 50799, 75458, 50795, 58185, 53561, 58185, 51631, 54108, 50918, 75458, 50795, 70209, 62715, 58185, 51646, 75458, 51918, 58185, 51798, 54246, 50795, 75458, 50795, 70209, 51923, 54108, 50795, 58185, 50795, 61462, 50795, 50799, 55008, 50807, 75458, 50795, 66295, 51036, 59941, 53561, 58185, 51631, 58916, 50807, 75458, 50795, 66757, 53182, 58185, 51646, 54108, 50807, 75458, 50795, 61462, 53218, 58185, 51798, 55008, 50807, 75458, 50795, 59941, 53312, 58185, 50795, 50799, 58699, 50807, 75458, 50795, 56930, 50807, 66757, 53561, 58185, 51631, 51565, 50918, 75458, 50795, 56930, 62715, 58185, 51646, 75458, 51918 ]
[ 0, 250, 33928, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 6, 2382, 3459, 8669, 6, 21072, 6, 3459, 9590, 6, 8, 20535, 2810, 4, 20, 33301, 16, 17627, 17274, 8, 2365, 12, 36381, 6, 7630, 14805, 10, 1472, 9, 7125, 8, 1619, 9450, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 5, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 52615, 54118, 54738, 79349, 58767, 51456, 50373, 53823, 55473, 54819, 50920, 54446, 50920, 57515, 77794, 52329, 50913, 53943, 51224, 57148, 56935, 53695, 50920, 53908, 51326, 53963, 50971, 51450, 77172, 58665, 56442, 51889, 53524, 50920, 50829, 52612, 54800, 50863, 51382, 58665, 53351, 50880, 54287, 53966, 52485, 51326, 50380, 53047, 57661, 52428, 51084, 50841, 52354, 50889, 50920, 55130, 54262, 50588, 56365, 52683, 59376, 54906, 50882, 51683, 50880, 55912, 50809, 51713, 50809, 51431, 51031, 52067, 50930, 51303, 52335, 51249, 52151, 51327, 51293, 50415, 51023, 50818, 53075, 52151, 51476, 52151, 53321, 53227, 50913, 52793, 50961, 75364, 55912, 50840, 51713, 50840, 51431, 50930, 52067, 61291, 51321, 50895, 52111, 64494, 52637, 50862, 51530, 59869, 50884, 51092, 53516, 51133, 56001, 61487, 50894, 51683, 50895, 55912, 50846, 51713, 50846, 51431, 50961, 52067, 50809, 53666, 52810, 50913, 52139, 75073, 53836, 55657, 50817, 51530, 62194, 71701, 50961, 51683, 50887, 55912, 50855, 51713, 50855, 51431, 50880, 52067, 59093, 51321, 56356, 50920, 57405, 52310, 51016, 55865, 50889, 52664, 50889, 53357, 58955, 51045, 51579, 50807, 52298, 51090, 54234, 54247, 50913, 60961, 58996, 55657, 53045, 69062, 51023, 50807, 51092, 51090, 51530, 50889, 61296, 56918, 51913, 51048, 55865, 51056, 52664, 70147, 51019, 51003, 59293, 73254, 50884, 51509, 50943, 51898, 51048, 52145, 55657, 53211, 50913, 57220, 55657, 52793, 67239, 51321, 59426, 51383, 54545, 50862, 52326, 53801, 50461, 51410, 51080, 53655, 51878, 52288, 52221, 66036, 80210, 54545, 50949, 62534, 51092, 50846, 51530, 50829, 51719, 52598, 51249, 51397, 52109, 51448, 50415, 51268, 70422, 50820, 51185, 50863, 53321, 50836, 51268, 50841, 51385, 50884, 51185, 59346, 55912, 50890, 52425, 50962, 52578, 50890, 52719, 50890, 52061, 54892, 50913, 53127, 60099, 50895, 52067, 56299, 51270, 52637, 64793, 69062, 51268, 50884, 51385, 50883, 51185, 62239, 52425, 50962, 55912, 50890, 52719, 50890, 52578, 50890, 52067, 50930, 52061, 50962, 52389, 62567, 51033, 50427, 51011, 51345, 53666, 60519, 55912, 50809, 52425, 50930, 52578, 50809, 52719, 50809, 52067, 50890, 52061, 56629, 51321, 54016, 52100, 80210, 52637, 80210, 52637, 50949, 51385, 50895, 77391, 51268, 53593, 50920, 59948, 51683, 51016, 52719, 50914, 55282, 50914, 51431, 51054, 51579, 51073, 55208, 59103, 64409, 50841, 51327, 51056, 51231, 51397, 51410, 51709, 51465, 51365, 52690, 51749, 54234, 53044, 50913, 60218, 52546, 64494, 54365, 54545, 53963, 50949, 51810, 68129, 50884, 51185, 55551, 50920, 58560, 55282, 51162, 52310, 51345, 50450, 50953, 51255, 51383, 55130, 51021, 53212, 51035, 50961, 52719, 51162, 52298, 51235, 51579, 51337, 51672, 51534, 51410, 51079, 52145, 53836, 50839, 51208, 67127, 50895, 51810, 53173, 50913, 57590, 80210, 55657, 57220, 54545, 59426, 51383, 55657, 65303, 78360, 52264, 50895, 51476, 56308, 51249, 51145, 53075, 52151, 52354, 51048, 50832, 54749, 51033, 51383, 57362, 50949, 51185, 50883, 51810, 70377, 50884, 51092, 50846, 51530, 50839, 75364, 51713, 50840, 51431, 50949, 52067, 50859, 51231, 51148, 51327, 51183, 50415, 62534, 55912, 50846, 53321, 64682, 55912, 50884, 51683, 50961, 51713, 53829, 50913, 76857, 57772, 50949, 51431, 50961, 52067, 56299, 51270, 51625, 53836, 73417, 50883, 51530, 63039, 61396, 52067, 54392, 51133, 58955, 58971, 51021, 51683, 50880, 55912, 50818, 51713, 50818, 51431, 50961, 53666, 53810, 50913, 59302, 52637, 55657, 60099, 69062, 55912, 50836, 75364, 51713, 50836, 52067, 50859, 51431, 56486, 50920, 50841, 51023, 71701, 50949, 51530, 50818, 51450, 51033, 50920, 50846, 55865, 50889, 52664, 50889, 52310, 51016, 51579, 51013, 52298, 51016, 52326, 58898, 50439, 50945, 51101, 51476, 51142, 54234, 50820, 51231, 50828, 51249, 50818, 51327, 52878, 50913, 56410, 52637, 55657, 60099, 52546, 50895, 51023, 50896, 51208, 51054, 51530, 62902, 51476, 51242, 50448, 50945, 64860, 51728, 51035, 53850, 51021, 55865, 51056, 51913, 51073, 52664, 51056, 51509, 50915, 51898, 51048, 51327, 51400, 51303, 51109, 51249, 51121, 50451, 51133, 53987, 50920, 52139, 53685, 51019, 59450, 57220, 53067, 53963, 62561, 61612, 52326, 52916, 50459, 51383, 54545, 59026, 52425, 51655, 52578, 50841, 52578, 51307, 55912, 51307, 52719, 51307, 52264, 50846, 61332, 59376, 54545, 54906, 50821, 70308, 51385, 50884, 77390, 51431, 50846, 52067, 51894, 51410, 54829, 53655, 52015, 51249, 52212, 50415, 50927, 51003, 52061, 51605, 51719, 51314, 52109, 51183, 53321, 67158, 74500, 50895, 51185, 52761, 51321, 54016, 52793, 55657, 50895, 52111, 64494, 52637, 50828, 51268, 50895, 51385, 50883, 51185, 50846, 52389, 62567, 51021, 53666, 53695, 50927, 64585, 51872, 59376, 52637, 55657, 53963, 62561, 50961, 51385, 50949, 52165, 50818, 51023, 56356, 50920, 50841, 51450, 79387, 61173, 51415, 54472, 50386, 52272, 50383, 54502, 56136, 50884, 51268, 50855, 51385, 50863, 51281, 63954, 51719, 50846, 51249, 50818, 52109, 52878, 50920, 56197, 51011, 50937, 52365, 54749, 54332, 50387, 52272, 55790, 50941, 51268, 50840, 51281, 50890, 51385, 60954, 53655, 51337, 51410, 51006, 50449, 51495, 50820, 51089, 63039, 52772, 51213, 53834, 51907, 79350, 50957, 50596, 55790, 50880, 74677, 62744, 51495, 50800, 51249, 51100, 52109, 51194, 50451, 51719, 50901, 54287, 55735, 55564, 53257, 57167, 53836, 50886, 51410, 54678, 50920, 57319, 52326, 51258, 52354, 50991, 51335, 52637, 55657, 54906, 54168, 52668, 59376, 50949, 51023, 73417, 74153, 50839, 51683, 50880, 55912, 50809, 51713, 50809, 52067, 51031, 51231, 51310, 51249, 51742, 53075, 52335, 51476, 51680, 51327, 51742, 50415, 51092, 50949, 68244, 51431, 50895, 53321, 53227, 50913, 52793, 50961, 55912, 50846, 51683, 50895, 51713, 50846, 51431, 50895, 52067, 50930, 50421, 51321, 50818, 52111, 64494, 52637, 77110, 50884, 51092, 50895, 51530, 53425, 51133, 71160, 61487, 50894, 51683, 50895, 55912, 50846, 51713, 50846, 52067, 50884, 51431, 50880, 53666, 52810, 50913, 52139, 58372, 56580, 53836, 55657, 50817, 51023, 71701, 50961, 51530, 50809, 51683, 50809, 55912, 50855, 51713, 50855, 52067, 50887, 51431, 68487, 51231, 53010, 58455, 52766, 50945, 56001, 51045, 52310, 50807, 55865, 50943, 52664, 50943, 51579, 51048, 52298, 51090, 54234, 50862, 51249, 50841, 51327, 60067, 51303, 53239, 50913, 60961, 69804, 55657, 53045, 69062, 51023, 50807, 51208, 51090, 51530, 50889, 61296, 50829, 51476, 74299, 51509, 70269, 51019, 51377, 59293, 73254, 50884, 55865, 51003, 52664, 51003, 51913, 50807, 51898, 51048, 51303, 50987, 51249, 51803, 51327, 51534, 52145, 55657, 53211, 50913, 60961, 80210, 55657, 52793, 50949, 53075, 50827, 51476, 51000, 51303, 51058, 50458, 52326, 56308, 50459, 51383, 54545, 59496, 51410, 54532, 52288, 51221, 50832, 80210, 54545, 55146, 51033, 51268, 50841, 51385, 75809, 50829, 53655, 51397, 51719, 51477, 52109, 51749, 53321, 50828, 51268, 50841, 51385, 50884, 51185, 59346, 55912, 50895, 52425, 50949, 52578, 50895, 52719, 54031, 50913, 60218, 55657, 50949, 52061, 50817, 52067, 53467, 51270, 52637, 64793, 69062, 51385, 50883, 51185, 50846, 51268, 53150, 51011, 71160, 62567, 51033, 52425, 50930, 55912, 50809, 52578, 50809, 52719, 50809, 52061, 50949, 52067, 50887, 53666, 60519, 55912, 50809, 52719, 50809, 52425, 50930, 52578, 50809, 52061 ]
[ 0, 250, 15352, 30054, 5175, 11057, 2214, 4246, 13305, 6, 31391, 1672, 9590, 6, 1076, 560, 8, 579, 1517, 20426, 31365, 6673, 6909, 6, 8, 32909, 6, 2351, 10, 19448, 1619, 5466, 4, 8504, 11, 163, 538, 19, 10, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50799, 57081, 52096, 66165, 51717, 51374, 51362, 51170, 53223, 51719, 50932, 51240, 52966, 51651, 50845, 51672, 53021, 59534, 52209, 51719, 51013, 51651, 51013, 51672, 50807, 77687, 54360, 51013, 51240, 52986, 51719, 50807, 51651, 50807, 51672, 62902, 51240, 50841, 52320, 52193, 51719, 50807, 51651, 50914, 51672, 50914, 77687, 51240, 50829, 54281, 66403, 51719, 50889, 51651, 51103, 51672, 51675, 51240, 50835, 51544, 53778, 52844, 51719, 52282, 72383, 51240, 50835, 54360, 51294, 51240, 54905, 51240, 53114, 51651, 51218, 51240, 54525, 51240, 52725, 51672, 60181, 54987, 54450, 73654, 51240, 50829, 66268, 51310, 51672, 50983, 51910, 69613, 53589, 53223, 51240, 52966, 51249, 50845, 52109, 50845, 51236, 52209, 51672, 51218, 51980, 51218, 51910, 73841, 52565, 51240, 52986, 52109, 50974, 51825, 65586, 51240, 53083, 51980, 51477, 51981, 51218, 51910, 73841, 53685, 51240, 50829, 50799, 51825, 51058, 52287, 70589, 53927, 51115, 51981, 51218, 51910, 73841, 53317, 52712, 51236, 52844, 55386, 51058, 52287, 51058, 51240, 52621, 53927, 50889, 56822, 50943, 51910, 51060, 52404, 51082, 54905, 51240, 53114, 51240, 54525, 51240, 52725, 53927, 51109, 56822, 51159, 51910, 51235, 52404, 51082, 54450, 51240, 50829, 50799, 57081, 52096, 66165, 51717, 51374, 51362, 51170, 53223, 51719, 50932, 51240, 52966, 51651, 50845, 51672, 53021, 62131, 52209, 51719, 51013, 51651, 51013, 51672, 50807, 77687, 54360, 51013, 51240, 52986, 51719, 50807, 51651, 50807, 51672, 62902, 51240, 50841, 52320, 55891, 51719, 50807, 51651, 50914, 51672, 50914, 77687, 51240, 50829, 54281, 66403, 51719, 50889, 51651, 51103, 51672, 51675, 51240, 50835, 51544, 59534, 52844, 51719, 52282, 72383, 51240, 50835, 54360, 51294, 51240, 54905, 51240, 53114, 51651, 51218, 51240, 54525, 51240, 52725, 51672, 60181, 60457, 54450, 73654, 51240, 50829, 66268, 51310, 51672, 50983, 51910, 69613, 53589, 53223, 51240, 52966, 51249, 50845, 52109, 50845, 51236, 52209, 51672, 51218, 51980, 51218, 51910, 73841, 52565, 51240, 52986, 52109, 50974, 51825, 65586, 51240, 53083, 51980, 51477, 51981, 51218, 51910, 73841, 53685, 51240, 50829, 50799, 51825, 51058, 52287, 70589, 53927, 51115, 51981, 51218, 51910, 73841, 53317, 52712, 51236, 52844, 55386, 51058, 52287, 51058, 51240, 52621, 53927, 50889, 56822, 50943, 51910, 51060, 52404, 51082, 54905, 51240, 53114, 51240, 54525, 51240, 52725, 53927, 51109, 56822, 51159, 51910, 51235, 52404, 51082, 54450, 51240, 50829, 78937, 51806, 51651, 51199, 51672, 51709, 51687, 52056, 51374, 69613, 53829, 51240, 52905, 51719, 51318, 51687, 51283, 51651, 52136, 51672, 51477, 50791, 59534, 52927, 51374, 50859, 53771, 51650, 54877, 50828, 54360, 69613, 59901, 53771, 51056, 50444, 51687, 51108, 51719, 51108, 51651, 51108, 51672, 51097, 51170, 53068, 53771, 54042, 52193, 51719, 51477, 51672, 51310, 51980, 51477, 51374, 53841, 56455, 57077, 55602, 51221, 56682, 73841, 53829, 51240, 59043, 55602, 63963, 51719, 51166, 51672, 51074, 51980, 62621, 53778, 52209, 51672, 51115, 51719, 51477, 51980, 51318, 51349, 50952, 52095, 51087, 61251, 53777, 51095, 54585, 73841, 58500, 55343, 51110, 50447, 51240, 53068, 51719, 51074, 51672, 51074, 51980, 62621, 52193, 51672, 51115, 51980, 51803, 51719, 51803, 51349, 50952, 52095, 51082, 57430, 56213, 51353, 55609, 73841, 53829, 51240, 52870, 51672, 71782, 59534, 52209, 51602, 50910, 52095, 51087, 53018, 51719, 51244, 51672, 50845, 51980, 51244, 51602, 73841, 53589, 53114, 51672, 51115, 51240, 50829, 52320, 53778, 53685, 78489, 52095, 51087, 50825, 66513, 50822, 51414, 50874, 51457, 50874, 51957, 51362, 52404, 51087, 52944, 51303, 50981, 51414, 50995, 51457, 50981, 51240, 50839, 51544, 53778, 52209, 51303, 51079, 51414, 51079, 51457, 51079, 51825, 50972, 52458, 60855, 53735, 53219, 51303, 50995, 51414, 50915, 51457, 50915, 51825, 51397, 52458, 69613, 53589, 52875, 51170, 52763, 51303, 51203, 51414, 51203, 51457, 63238, 55717, 52738, 52458, 53558, 54782, 50835, 67718, 51318, 51249, 51115, 52109, 51318, 51640, 73841, 53829, 51240, 50829, 51544, 59534, 52209, 51465, 50981, 51249, 50915, 52109, 50995, 54423, 50808, 53771, 50865, 52006, 51087, 50884, 51272, 50298, 51091, 53771, 50805, 52404, 51087, 52878, 51465, 51318, 51249, 51115, 52109, 51310, 50446, 53771, 51221, 50447, 51240, 50839, 52320, 52193, 51640, 50921, 54985, 50991, 53080, 51082, 50818, 55984, 73503, 53829, 52571, 52441, 54985, 50967, 51240, 52992, 52102, 56975, 53778, 52927, 51719, 50866, 52102, 50827, 51465, 50959, 51249, 50942, 51672, 50905, 51910, 50808, 56853, 50967, 51170, 54390, 50828, 58711, 73841, 53589, 53041, 51719, 51310, 51249, 51115, 51672, 51218, 52571, 51318, 51465, 51477, 53771, 54276, 55602, 77392, 54987, 53017, 51857, 50952, 52095, 51082, 50839, 50799, 57081, 51449, 51374, 62695, 57829, 66165, 75272, 56853, 50371, 51613, 57240, 55602, 60417, 53771, 51790, 51544, 59534, 57286, 51465, 64809, 51672, 50974, 72383, 51170, 55401, 58414, 51651, 53418, 51672, 51047, 51719, 51627, 51374, 73841, 53589, 52986, 51465, 66260, 52772, 51465, 61098, 53778, 52881, 52102, 50977, 72383, 51170, 54109, 50828, 50799, 55349, 52195, 51640, 73841, 57829, 51170, 55265, 51170, 61792, 51236, 52302, 51456, 57404, 51465, 51290, 55057, 52265, 52571, 50840, 51640, 52218, 76494, 53439, 52102, 53891, 51465, 50938, 57081, 51677, 51857, 62695, 63209, 60372, 51465, 51896, 57702, 62240, 53173, 51910, 50830, 52095, 52388, 55971, 52402, 51748, 52255, 51671, 52187, 51449, 78937, 51806, 51651, 51199, 51672, 51709, 51687, 52056, 51374, 51362, 75060, 52944, 51240, 51187, 52966, 51719, 51318, 51687, 51283, 51651, 52136, 51672, 51477, 51236, 61295, 51239, 52927, 51374, 50859, 53771, 51650, 51239, 55176, 50828, 54360, 51362, 52455, 57972, 53771, 55700, 51687, 51108, 51719, 51108, 51651, 51108, 51672, 51097, 65747, 57854, 53771, 51060, 51955, 51187, 54450, 51719, 51477, 51672, 51310, 51980, 51477, 51374, 53841, 51406, 56113, 57077, 55602, 50991, 50461, 52332, 51801, 52187, 51801, 52340, 51801, 56682, 51294, 52455, 64956, 56506, 59043, 55602, 64131, 51719, 51166, 51672, 51074, 51980, 51166, 57653, 55767, 52209, 51672, 51115, 51719, 51477, 51980, 51318, 51349, 50952, 53777, 51095, 53026, 55176, 50884, 54585, 51294, 52120, 52986, 55343, 51178, 57653, 56368, 60479, 51170, 52763, 51719, 51074, 51672, 51074, 51980, 51166, 52574, 51082, 55223, 51170, 52920, 51672, 51115, 51980, 51803, 51719, 51803, 51349, 50952, 52095, 51082, 51239, 62662, 56213, 51714, 51170, 50839, 55609, 51294, 52455, 62456, 56368, 52870, 51672, 51097, 50903, 56494, 51044, 53230, 51602, 50910, 53026, 57744, 53018, 51719, 51244, 51672, 50845, 51980, 51244, 51602, 51294, 61115, 56088, 55144, 53114, 51672, 51115, 51895, 51082, 50829, 51955, 51187, 58264, 53685, 78489, 53026, 56113, 56834, 51743, 51449, 51863, 51449, 51838, 51445, 66513, 51449, 51414, 50972, 51457, 50838, 51957, 51362, 52455, 54877, 52944, 51414, 52222, 51457, 51097, 51825, 50932, 51240, 51467, 50870, 51768, 56494, 51044, 53644, 51825, 50981, 52932, 50915, 51457, 51803, 52458, 50859, 79661, 53735, 50828, 62083, 51362, 65986, 53589, 54656, 51170, 53114, 52932, 51318, 54310, 51318, 51825, 51419, 52352, 51502, 54763, 54368, 51170, 50839, 52320, 56152, 56883, 51170, 54450, 52458, 51575, 55401, 55202 ]
[ 0, 250, 15855, 8, 13134, 12, 13028, 2214, 14, 7630, 6568, 10, 1472, 9, 9733, 8, 1619, 9450, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 26432, 636, 3938, 22052, 6, 15054, 17838, 6, 8, 2342, 4467, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 20902, 8, 32076, 5466, 4, 20, 15229, 22848, 10, 33215, 16739, 9, 211, 6, 272, 73, 495, 6, 211, 406, 6, 272, 73, 495, 6, 8, 381, 406, 6, 1271, 7, 63, 6878, 8, 17627, 17274, 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 ]	[ 58402, 61628, 58891, 79279, 51031, 50876, 50962, 51150, 50936, 51093, 50962, 55008, 53530, 54212, 54726, 58976, 51214, 50811, 50973, 52640, 50306, 70215, 54151, 51098, 50854, 75114, 54108, 53946, 50908, 53924, 50928, 52594, 58286, 50861, 66894, 50809, 52206, 58891, 50828, 54246, 54172, 52742, 50906, 50834, 51150, 50921, 51266, 55461, 54212, 57583, 50973, 53819, 50311, 67536, 52236, 50287, 50811, 79638, 52714, 54166, 51389, 54047, 50908, 54124, 50928, 52198, 56772, 52206, 75892, 50961, 50876, 52717, 50320, 50950, 51182, 53988, 50825, 69899, 50921, 52278, 53309, 54499, 59346, 51266, 50809, 54246, 54507, 50804, 60463, 51201, 70576, 51214, 50811, 50973, 75892, 50961, 50902, 51010, 51098, 50924, 52714, 53548, 60269, 60443, 51107, 62941, 54108, 53695, 50804, 59051, 52206, 50811, 51150, 50936, 51093, 50890, 55008, 61169, 50861, 79027, 52717, 50308, 50962, 51658, 54499, 59753, 51247, 50976, 52355, 51111, 50455, 50877, 72712, 53318, 50316, 50802, 51793, 50923, 51284, 51505, 50456, 51113, 54371, 50908, 54124, 50928, 52198, 56772, 51841, 58676, 50810, 72370, 51984, 50882, 77470, 77584, 52278, 53497, 50864, 54594, 53287, 52572, 56657, 51154, 51158, 52714, 61120, 50877, 61818, 72712, 50860, 51201, 57432, 50908, 53924, 50928, 52594, 58286, 50804, 52742, 50876, 50950, 70433, 50861, 50882, 72268, 54246, 53097, 54212, 55698, 51266, 75336, 51113, 52485, 51279, 50802, 51216, 51286, 51883, 51033, 52355, 53497, 50908, 54124, 50928, 52198, 56772, 51214, 50962, 51088, 53988, 50825, 53458, 50833, 51699, 50887, 52278, 53933, 52572, 59346, 51247, 50962, 66441, 52714, 52871, 51140, 50808, 51887, 56106, 58990, 51841, 50962, 51493, 50809, 51301, 50887, 52830, 50836, 54246, 53425, 66502, 59278, 51799, 50811, 51273, 50890, 51251, 50890, 52371, 50890, 54108, 53911, 50804, 57413, 52206, 50803, 51461, 50882, 52143, 50962, 51299, 50894, 55008, 50809, 51658, 54499, 61082, 52206, 63816, 66698, 61881, 79297, 51461, 50823, 51093, 50803, 52143, 50823, 51304, 50803, 51299, 50823, 55008, 54721, 62936, 53708, 57916, 50843, 50870, 51038, 50431, 53250, 51073, 53997, 51158, 51093, 50890, 52182, 51445, 52278, 51353, 50801, 56260, 51150, 51177, 61090, 63094, 51357, 52628, 50861, 69856, 61547, 50836, 65696, 50846, 56213, 52467, 58964, 53250, 50809, 51093, 54392, 51214, 50849, 51098, 51178, 61090, 53971, 56657, 56213, 50809, 51357, 52359, 50861, 50809, 60437, 50916, 50855, 65696, 54212, 57413, 53250, 53574, 51085, 50795, 51150, 51121, 61090, 50828, 51093, 54405, 60371, 64008, 50846, 53077, 50846, 51107, 55489, 56143, 50916, 59244, 52467, 57723, 76401, 50841, 53771, 50836, 51266, 54208, 51214, 50873, 51098, 73908, 61250, 53250, 50887, 51093, 53875, 56143, 50861, 75509, 50836, 61090, 54617, 57995, 53863, 51290, 51182, 51221, 58066, 50873, 51389, 50967, 68198, 50840, 52278, 51312, 50801, 63094, 50973, 69584, 62379, 54507, 50804, 58964, 51214, 51121, 52714, 58326, 51098, 51121, 78415, 50809, 53407, 51048, 51201, 73442, 52417, 50973, 69584, 60365, 54345, 57413, 51668, 51167, 76401, 50828, 51266, 51380, 54246, 57937, 51324, 50795, 53771, 76016, 53044, 50973, 57722, 66675, 54742, 57723, 53077, 51158, 51107, 51363, 54108, 59124, 51214, 51121, 51098, 50805, 64008, 53704, 53268, 50973, 74336, 62221, 54472, 57995, 51324, 50879, 53077, 51158, 52278, 51313, 50799, 64008, 50818, 51107, 50818, 52182, 54249, 50801, 56260, 51668, 51286, 50419, 66627, 50818, 55343, 54878, 50973, 64587, 68370, 50857, 51488, 54472, 58964, 53077, 53950, 51214, 51110, 51098, 51178, 64008, 50841, 51107, 53243, 56657, 55343, 50855, 51488, 52359, 50973, 69584, 62379, 50809, 66627, 54212, 57413, 51668, 51286, 53077, 50840, 51107, 53813, 51324, 50879, 64008, 53704, 60371, 55343, 50840, 51266, 54247, 50973, 69584, 62379, 50840, 76401, 54212, 57723, 51098, 51100, 78415, 50828, 53077, 50840, 51201, 54208, 51214, 54754, 61250, 50973, 66477, 62465, 50809, 53077, 50855, 51107, 54583, 64008, 55018, 57995, 51085, 51158, 51150, 51100, 50659, 50349, 50855, 54985, 51112, 51284, 51346, 50799, 52355, 67294, 53223, 50861, 69245, 62141, 54472, 58964, 51214, 51121, 51098, 51178, 53863, 50807, 51182, 51400, 52278, 55382, 68198, 54005, 56657, 50916, 60924, 63835, 53810, 50804, 57413, 78415, 50818, 51201, 51267, 52714, 57937, 51085, 51173, 51150, 51100, 53407, 51566, 50801, 53044, 50876, 69856, 61368, 53988, 59361, 54246, 51253, 50449, 51098, 51100, 53771, 51158, 51266, 51255, 50450, 51214, 51060, 76401, 54285, 53268, 50876, 69856, 61368, 52467, 50908, 54124, 50928, 52198, 50891, 56483, 50825, 54594, 50840, 56770, 52069, 53771, 50830, 51301, 50836, 65182, 54764, 50862, 61331, 50987, 58947, 61798, 53863, 50923, 50419, 59613, 51161, 51093, 50809, 52278, 51008, 58060, 50840, 51182, 50962, 52876, 53309, 54212, 58854, 53771, 66084, 51266, 50818, 65269, 52202, 53705, 50877, 50840, 54764, 50834, 52714, 78778, 53863, 51354, 50437, 51182, 50887, 51752, 50867, 52876, 50813, 54246, 58946, 50876, 50836, 51093, 58344, 53407, 50921, 50443, 79638, 51113, 50836, 51596, 50904, 53143, 50857, 54108, 53103, 50877, 61230, 51266, 50930, 51088, 50890, 51789, 50810, 54764, 50820, 55008, 50955, 56222, 50809, 53771, 76694, 56531, 50813, 55008, 50937, 55524, 50857, 57312, 51359, 53771, 50806, 51301, 50840, 51093, 64941, 53410, 50834, 52278, 50878, 55902, 50809, 59449, 51714, 53771, 50803, 51266, 50809, 51088, 62941, 53407, 56087, 50989, 50809, 51093, 50962, 51491, 50880, 53320, 50854, 56531, 50813, 54219, 61360, 53771, 54993, 50861, 50809, 51266, 50890, 51088, 50887, 52155, 50959, 53410, 50813, 52278, 70627, 50965, 50887, 53077, 50859, 52202, 50867, 61405, 50890, 52926, 53524, 51107, 50962, 51375, 63154, 50877, 50890, 53250, 50800, 51093, 50962, 51113, 50821, 56531, 50809, 52355, 52848, 51752, 72070, 59173, 50822, 51883, 51145, 50461, 53250, 50893, 55547, 50905, 51216, 51121, 55845, 50858, 52155, 52212, 58916, 73138, 63094, 53250, 52244, 50989, 66675, 63100, 54597, 59136, 53077, 55447, 51120, 51101, 51389, 70401, 56839, 53250, 64123, 50877, 65037, 53998, 50899, 55651, 57413, 51279, 51212, 56213, 56810, 51216, 50901, 57406, 50874, 51251, 51145, 51596, 51703, 54108, 65345, 57927, 59800, 70081, 50989, 50886, 54812, 52711, 50899, 62821, 53352, 57723, 51120, 50866, 51389, 51121, 56213, 57322, 50801, 61250, 50899, 71414, 62391, 50855, 53250, 54424, 50804, 57950, 53077, 51241, 50461, 51214, 50833, 51086, 68370, 50836, 51098, 50937, 52065, 50878, 52202, 54373, 58699, 50874, 54594, 52773, 59761, 50899, 50803, 51251, 54856, 54108, 52467, 79499, 54804, 50429, 50916, 50971, 51301, 55924, 51004, 50430, 74372, 51251, 50844, 54108, 50955, 50431, 50804, 63256, 54804, 50433, 50900, 50978, 51299, 61782, 55008, 62788, 51129, 52594, 74896, 51086, 50962, 52065, 50930, 58699, 53988, 51004, 53550, 78565, 50804, 50982, 53012, 50928, 62177, 53858, 50804, 50908, 53526, 50891, 52612, 60145, 51026, 50811, 51098, 50924, 52776, 50962, 51699, 50803, 52278, 53259, 50804, 53003, 52799, 50934, 50829, 53997, 51158, 53250, 51173, 51093, 54020, 56260, 51150, 51177, 61090, 63094, 56213, 50840, 51357, 52628, 50861, 69856, 61547, 50836, 65696, 54499, 58964, 51093, 54392, 51214, 50849, 51098, 51178, 61090, 50841, 53250, 60777, 56657, 56213, 50808, 51357, 52359, 50861, 50809, 60437, 50916, 50855, 65696, 54212 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 13305, 6, 21979, 8669, 6, 21072, 6, 6755, 12547, 6, 8, 38668, 2236, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 272, 119, 1176, 406, 6, 12608, 6, 8, 2060, 119, 1176, 406, 3639, 7, 63, 17627, 17274, 2365, 8, 1619, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 53927, 51894, 53171, 51991, 51981, 51894, 70899, 51076, 51210, 51032, 51058, 51149, 51177, 53080, 51152, 57112, 58033, 57666, 51818, 51714, 51150, 51573, 50419, 50909, 53010, 66817, 52680, 55406, 58990, 50847, 52034, 50426, 76084, 51076, 51199, 50998, 51109, 51065, 56671, 53740, 52925, 51150, 50890, 51149, 51310, 50801, 57112, 58729, 61796, 50839, 51658, 56725, 57840, 65004, 51150, 51454, 50444, 51076, 51210, 51032, 50959, 50998, 51051, 51068, 52755, 55406, 59892, 50909, 51753, 50450, 51065, 57532, 54018, 57143, 76063, 50456, 51150, 53287, 57112, 57808, 59667, 57077, 51067, 62431, 50892, 50799, 51457, 50834, 51140, 51090, 50847, 51128, 51257, 51377, 66231, 55731, 55987, 58452, 53420, 67395, 50929, 79042, 52532, 58033, 58592, 69236, 50847, 69790, 50909, 69872, 59677, 53730, 52667, 51140, 70326, 51679, 50929, 51381, 50986, 51961, 51257, 67839, 57112, 58016, 59750, 53115, 51140, 67812, 57112, 65233, 53027, 78656, 51068, 52703, 58033, 53083, 59995, 51065, 55139, 59677, 53246, 52881, 51140, 50940, 51067, 65245, 57112, 56128, 59127, 58908, 51149, 50971, 51257, 50971, 50799, 53171, 51486, 53927, 51422, 51150, 51090, 51149, 77602, 55731, 58033, 55376, 51818, 51692, 50420, 50847, 51645, 50913, 55406, 52712, 51032, 51058, 51076, 51254, 50909, 63320, 59677, 53332, 56344, 50998, 54150, 51150, 50890, 51149, 59250, 57112, 58729, 58033, 58685, 50998, 55666, 51150, 51090, 50998, 59874, 56725, 57113, 58495, 63938, 50847, 51679, 50444, 51032, 50955, 51076, 51210, 50998, 51008, 51068, 59003, 52532, 55406, 57723, 50909, 66809, 51065, 57532, 53622, 58014, 51149, 59960, 51150, 50940, 66860, 50929, 50943, 52234, 51202, 56128, 59127, 62662, 66860, 50461, 51257, 51400, 61323, 51212, 51327, 51101, 51231, 51212, 51140, 51016, 52095, 51202, 57975, 54213, 50929, 58178, 52151, 51068, 59376, 52300, 61796, 57404, 50970, 50837, 50986, 52872, 77558, 50903, 52493, 55326, 56671, 53740, 56344, 50986, 61193, 51257, 51675, 50432, 51140, 50890, 64387, 50986, 68108, 59281, 55051, 56851, 58729, 61796, 56802, 50986, 54498, 51140, 51238, 52095, 51202, 57840, 53384, 50903, 55304, 52703, 55406, 59892, 64162, 50970, 51051, 69236, 52612, 53595, 51140, 51227, 51068, 54404, 57532, 54018, 54859, 51068, 54210, 50801, 54563, 57505, 57808, 59667, 57077, 50970, 51051, 78777, 60287, 50799, 51672, 51151, 51327, 51353, 51476, 51293, 51150, 51362, 50986, 52011, 51032, 51254, 50998, 51824, 51076, 52192, 50801, 53816, 62142, 50870, 52399, 52543, 52670, 71664, 50998, 51333, 51076, 52011, 50903, 53816, 53622, 60741, 51150, 52559, 51207, 52136, 50801, 53816, 62142, 52958, 51098, 51362, 65043, 56866, 50909, 76623, 50998, 51376, 51032, 51008, 51076, 51862, 50903, 53434, 52532, 59843, 50935, 58369, 50847, 51277, 50843, 62142, 54435, 59842, 51032, 51283, 50456, 51098, 50887, 50998, 52519, 51076, 53280, 50986, 52519, 50909, 51419, 50801, 69183, 50799, 51672, 51675, 51818, 51675, 51327, 51452, 51150, 61986, 59281, 53816, 53576, 50935, 52056, 50843, 52373, 58015, 52872, 50843, 53622, 52818, 51150, 50924, 51207, 52519, 51032, 50933, 50998, 51210, 51076, 51862, 50847, 52140, 50801, 59281, 53944, 53219, 51098, 53287, 53833, 62142, 53384, 51981, 50800, 51818, 50862, 51327, 50854, 51672, 50812, 51150, 50858, 50998, 50932, 51076, 51330, 51032, 57604, 55630, 52535, 58015, 67394, 53927, 50867, 52612, 50828, 51955, 56396, 53816, 71239, 53246, 53137, 51981, 50977, 51818, 50937, 51327, 71922, 50890, 50986, 51470, 50801, 53816, 54563, 59044, 51672, 50937, 56451, 51294, 51846, 51333, 51169, 51006, 50986, 51376, 50929, 51824, 50801, 57434, 50870, 52399, 52543, 52670, 51169, 50932, 50986, 51333, 50929, 51333, 50903, 53816, 52922, 52818, 51522, 50840, 52562, 52167, 50801, 53816, 62497, 53115, 51930, 51016, 52562, 51333, 69594, 65043, 52616, 50992, 51166, 50903, 53434, 52502, 59843, 50986, 52731, 51169, 51470, 50929, 52731, 50450, 50872, 51477, 50843, 57434, 53740, 53137, 53001, 51151, 51930, 50948, 51846, 52136, 50986, 51965, 51169, 51318, 50929, 52136, 50939, 58307, 53816, 50820, 56451, 65221, 59281, 53816, 52432, 51981, 52069, 50992, 56395, 52543, 58015, 53356, 50843, 53518, 60741, 50986, 51524, 50929, 51862, 50432, 51522, 50940, 51169, 51051, 52562, 51824, 50992, 51790, 50801, 59281, 55691, 55147, 54726, 74069, 58803, 56822, 52783, 57385, 50910, 52562, 52011, 65043, 68256, 63938, 50986, 68288, 51930, 50948, 50929, 51466, 51169, 50995, 50843, 52532, 58015, 62849, 51522, 50897, 51955, 56396, 54640, 66624, 54561, 59842, 51930, 54896, 52562, 52192, 50801, 56564, 54563, 50835, 61323, 51151, 52102, 51353, 56397, 51293, 51868, 51294, 53805, 52011, 51317, 51254, 51504, 51824, 50986, 52192, 50801, 53816, 62142, 50870, 52399, 52543, 52670, 51317, 50995, 51504, 51333, 50986, 52011, 50903, 53816, 53622, 52818, 51868, 50830, 51846, 52136, 50801, 53816, 62142, 52958, 51522, 51016, 50939, 51221, 65043, 53041, 51504, 51376, 51317, 51008, 50986, 51862, 50992, 51481, 50903, 53434, 52532, 58510, 50872, 54323, 50843, 62142, 54435, 59842, 51317, 51283, 50456, 51522, 50890, 51504, 52519, 50986, 53280, 53805, 52519, 50939, 51662, 50801, 69183, 61323, 51675, 51303, 51675, 52102, 51452, 51868, 67812, 59281, 53816, 50846, 52399, 52373, 58015, 52872, 50843, 53622, 52818, 51868, 50948, 51846, 52519, 51317, 50933, 51504, 51210, 50986, 51862, 50801, 59281, 53944, 53219, 51522, 53841, 53833, 62142, 53384, 51651, 50800, 51303, 50862, 52102, 50854, 51476, 50812, 51868, 50930, 51504, 51006, 50986, 51254, 51317, 50987, 50992, 51363, 50804, 55630, 52535, 58015, 67394, 51327, 50867, 52612, 50828, 51955, 53434, 71239, 53246, 53137, 51868, 51030, 51504, 73819, 51145, 50992, 78811, 53816, 50839, 60294, 50829, 51389, 51204, 51444, 51333, 72203, 50970, 51376, 51311, 51824, 50801, 57434, 50870, 52399, 52543, 52670, 50960, 50932, 51311, 51333, 50970, 51333, 50903, 53816, 52922, 52818, 51389, 50840, 51846, 52167, 50801, 53816, 62497, 53115, 51389, 51013, 51846, 51333, 65043, 52616, 74649, 70531, 50903, 53434, 52502, 59843, 50960, 51470, 50970, 52731, 51311, 52731, 57702, 57434, 53740, 59699, 50992, 51242, 50455, 51389, 50865, 50872, 63234, 51457, 50820, 51444, 50870, 50970, 50863, 68021, 51311, 55170, 53816, 50820, 53458, 67949, 51243, 50847, 51313, 50801, 59281, 53816, 52432, 51825, 65316, 52543, 58015, 53356, 67806, 50970, 51380, 51207, 51109, 50903, 52493, 55326, 56671, 53740, 52925, 51098, 53841, 59281, 55051, 56851, 58729, 61796, 52950, 51140, 51541, 52095, 51202, 57840, 53384, 50970, 51210, 50929, 50959, 51311, 51051, 50903, 55304, 52703, 55406, 50891, 52612, 53595, 51068, 54404, 57532, 54018, 54859, 51068, 54210, 51140, 50865, 76979, 78705, 50929, 55675, 54563, 57505, 57808, 59667, 50825, 50799, 51672, 51151, 51327, 51353, 51476, 51293, 51150, 51362, 50986, 52011, 51032, 51254, 50998, 51824, 51076, 52192, 50801, 53816, 62142, 50870, 52399, 52543, 52670, 71664, 50998, 51333, 51076, 52011, 50903, 53816, 53622, 60741, 51150, 52559, 51207, 52136, 50801, 53816, 62142, 52958, 73709, 50909, 51255, 65043, 53041, 50998, 51376, 51032, 51008, 51076, 51862, 50935, 51642, 50903, 53434, 52532, 52763, 50847, 61724, 62142, 54435, 59842, 51032, 51283, 50456, 51098, 50858, 50998, 52519, 51076, 53280, 50986, 52519, 50909, 51391, 50801, 69183, 50799, 51672, 51675 ]
[ 0, 250, 15352, 30054, 5175, 2214, 11, 272, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 9590, 6, 36075, 8669, 6, 38668, 22052, 6, 8, 38668, 11212, 6, 2351, 10, 11739, 9, 2933, 8, 5679, 26709, 43118, 29492, 19, 10, 11602, 9, 11098, 4, 20, 2125, 26658, 23, 41, 178, 5285, 20889, 11, 41, 18186, 262, 73, 398, 86, 6543, 6, 19, 10, 2007, 46336, 3184, 36830, 227, 211, 8, 230, 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 ]	[ 57211, 50456, 55479, 51300, 53388, 52937, 52239, 50803, 50799, 53388, 54024, 52269, 52244, 52239, 52801, 52449, 51973, 52239, 53300, 55497, 51300, 52269, 52119, 52248, 52674, 52269, 52057, 52889, 53609, 52248, 52284, 53139, 52911, 52248, 52116, 55479, 51300, 53388, 53532, 52239, 52163, 53388, 52937, 52269, 50803, 50799, 52239, 54024, 52449, 52244, 52239, 52801, 55497, 51300, 52269, 51973, 52248, 53300, 52269, 52119, 52889, 52674, 52248, 52057, 53139, 53609, 52248, 52284, 55479, 51300, 53388, 52911, 52239, 52116, 53388, 53532, 52269, 52163, 52239, 52937, 52449, 50803, 50799, 52239, 54024, 55497, 51300, 52269, 52244, 52248, 52801, 52269, 51973, 52889, 53300, 52248, 52119, 53139, 52674, 52248, 52057, 58312, 51009, 53388, 53609, 52239, 52284, 53022, 52911, 52269, 52116, 53022, 53532, 53388, 52163, 53022, 52937, 52239, 50803, 50799, 56163, 51009, 52269, 50803, 51817, 59714, 58197, 51553, 54024, 52239, 78537, 59714, 52244, 53022, 74082, 59714, 52801, 52239, 50803, 51415, 59714, 51973, 53022, 75159, 61411, 53300, 52822, 50803, 50953, 61411, 52119, 53022, 69583, 61411, 52674, 52822, 69583, 61411, 52057, 54999, 51300, 53381, 50803, 62644, 53964, 69826, 59177, 53056, 56119, 52706, 52001, 52284, 53381, 52001, 52911, 52239, 50803, 51622, 52001, 52116, 52706, 75159, 50993, 54282, 52409, 52010, 50453, 52248, 50803, 51634, 50803, 54282, 52001, 52163, 52706, 50803, 54282, 52001, 52937, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 51599, 61903, 50799, 53022, 52001, 54024, 52239, 50803, 60264, 51634, 50823, 52577, 69834, 52244, 52269, 50803, 58461, 51622, 74562, 51599, 52001, 52801, 53022, 52001, 51973, 52449, 50803, 57416, 51622, 74562, 52677, 51858, 53300, 53022, 52119, 54999, 51300, 53381, 50803, 62644, 53964, 50975, 52092, 51599, 52001, 52674, 52706, 52001, 57880, 52092, 52125, 53381, 52001, 53609, 52239, 50803, 51622, 52001, 60295, 52092, 52313, 52706, 75159, 64322, 52010, 50447, 52248, 50803, 51634, 50803, 54282, 53025, 52116, 52706, 52001, 53532, 56163, 51300, 52239, 50803, 56372, 69756, 54282, 51599, 52001, 52163, 53022, 52001, 52937, 52239, 50803, 57951, 51634, 50803, 52930, 51599, 61903, 50799, 52269, 50803, 58461, 51211, 50811, 52577, 51599, 52001, 54024, 53022, 52001, 52244, 52449, 50803, 56372, 51211, 62333, 52801, 53022, 51973, 54999, 51300, 53381, 50803, 53964, 69826, 51520, 61536, 50927, 73708, 52706, 52001, 52119, 53381, 52001, 52674, 52239, 50803, 51622, 52702, 58198, 52092, 52952, 52706, 75159, 51072, 54282, 52409, 52010, 50441, 52248, 50803, 51634, 50803, 54282, 52001, 52284, 52706, 50803, 54282, 52001, 52911, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 53236, 51858, 52116, 53022, 52001, 53532, 52239, 69583, 50823, 51634, 74562, 69834, 52163, 52269, 50803, 51622, 74562, 51599, 52001, 57303, 51019, 60271, 53022, 61903, 50799, 52449, 50803, 57416, 51622, 74562, 52677, 51858, 54024, 53022, 52244, 54999, 51300, 53381, 50803, 53964, 50993, 52092, 51599, 52001, 59236, 62644, 50423, 52706, 52001, 51973, 53381, 50803, 52092, 53025, 53300, 52239, 50803, 51622, 50811, 54282, 53025, 52119, 52706, 75159, 64322, 52010, 50435, 52248, 50803, 51634, 50811, 52627, 53025, 52057, 52706, 52001, 53609, 56163, 51300, 52239, 50803, 69756, 52930, 51599, 52001, 60295, 51133, 52313, 53022, 52001, 52911, 52239, 50803, 51634, 50803, 52627, 51599, 52001, 59550, 51415, 53798, 52269, 50803, 52874, 52299, 51858, 57365, 51011, 62183, 53022, 52163, 52449, 50803, 57416, 51456, 53843, 56575, 51456, 57841, 53022, 61903, 50799, 54999, 51300, 53381, 50803, 53964, 50993, 51335, 53766, 51520, 59413, 50927, 51072, 50417, 52706, 52001, 52244, 53381, 52001, 52801, 52239, 50803, 51622, 50803, 52092, 52702, 51973, 52706, 75159, 51072, 54282, 52409, 52010, 50429, 52248, 50803, 51634, 50803, 54282, 52001, 52119, 52706, 50803, 54282, 52001, 52674, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 53236, 52001, 52057, 53022, 52001, 53609, 52239, 69583, 50823, 51634, 50823, 52577, 51599, 52001, 52284, 52269, 50803, 51622, 69834, 57276, 51019, 61443, 53022, 74562, 52001, 52116, 52449, 50803, 57416, 51622, 74562, 52677, 51858, 53532, 53022, 52163, 54999, 51300, 53381, 50803, 62644, 53964, 50975, 52092, 51066, 50843, 51520, 54934, 52706, 61903, 50799, 53381, 52001, 54024, 52239, 50803, 51622, 50803, 54282, 63304, 52244, 52706, 75159, 64322, 52010, 50423, 52248, 50803, 51634, 50803, 52627, 53025, 51973, 52706, 52001, 53300, 56163, 51300, 52239, 50803, 56372, 69756, 52930, 51599, 52001, 52119, 53022, 52001, 52674, 52239, 50803, 57951, 51634, 69834, 52057, 52269, 50803, 58461, 51211, 51670, 52001, 53609, 53022, 52001, 52284, 52449, 50803, 60378, 51211, 52677, 51858, 52911, 53022, 52116, 54999, 51300, 53381, 50803, 62644, 53964, 69826, 51520, 55680, 52706, 52001, 52163, 53381, 52001, 52937, 52239, 50803, 51622, 50811, 52092, 61903, 50799, 52706, 75159, 50993, 54282, 52409, 52010, 50417, 52248, 50803, 51634, 50803, 54282, 52001, 52244, 52706, 50803, 54282, 52001, 52801, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 69834, 51973, 53022, 50803, 54282, 53025, 53300, 52239, 50803, 57951, 51634, 69834, 52119, 52269, 50803, 57416, 51622, 74562, 69834, 52674, 53022, 74562, 53025, 52057, 52449, 50803, 57416, 51622, 62333, 53609, 53022, 50803, 52092, 52313, 54999, 51300, 53381, 50803, 53964, 69826, 51520, 62485, 62644, 50447, 52706, 50803, 52092, 54972, 52116, 53381, 52001, 53532, 52239, 50803, 51622, 50811, 54282, 53025, 52163, 52706, 75159, 64322, 52010, 50459, 52248, 50803, 51634, 50811, 52092, 61903, 50799, 52706, 50803, 51959, 53025, 54024, 56163, 51300, 52239, 50803, 51854, 51599, 61903, 50418, 50964, 52410, 53022, 52001, 52801, 52239, 50803, 63166, 51634, 69834, 51973, 52269, 50803, 52874, 52299, 52001, 56998, 51019, 55396, 53022, 52001, 52119, 52449, 62333, 57476, 51213, 59618, 53022, 52057, 55479, 51009, 53388, 50802, 54638, 51009, 55931, 51009, 69849, 51009, 71877, 52375, 52208, 50843, 51730, 58329, 51013, 54268, 51820, 52239, 52010, 50447, 52449, 50802, 52202, 52001, 51757, 51565, 52001, 55023, 57325, 52239, 78537, 50803, 51565, 52001, 51754, 53388, 50803, 52018, 50803, 51565, 52010, 50459, 52239, 78537, 50803, 51565, 52001, 50800, 50799, 55497, 51009, 52269, 50802, 55014, 51009, 58714, 51009, 59327, 51009, 50945, 51300, 51606, 53025, 51730, 50824, 53440, 51835, 52495, 52010, 50423, 52248, 53025, 51620, 50843, 55023, 58542, 52495, 50803, 51606, 52001, 51628, 53388, 50803, 51606, 51858, 52674, 52269, 50803, 51415, 50803, 51606, 52001, 51724, 58312, 51009, 53388, 50802, 56140, 51009, 55931, 51009, 69849, 51009, 51019, 51300, 51789, 52001, 51730, 57699, 51606, 52001, 51820, 52239, 50803, 51565, 51331, 52911, 52269, 53025, 51757, 50843, 55023, 57325, 52239, 52001, 51754, 53388, 52001, 52567, 52239, 67199, 52001, 50800, 50799, 66391, 51009, 53388, 50802, 56271, 51009, 54638, 51009, 63857, 51009, 51415, 50993, 51565, 78975, 56763, 52239, 52229, 55884, 52269, 50802, 61149, 51686, 52319, 77198, 52239, 50803, 60264, 51565, 54158, 52686, 53388, 70213, 52319, 62960, 52239, 52057, 55479, 51009, 53388, 50802, 54638, 51009, 55931, 51009, 69849, 51009, 50953, 51300, 50843, 51730, 50824, 54268, 51820, 52239, 52010, 50447, 52449, 53025, 51757, 51565, 52001, 55023 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 19834, 2125, 11, 163, 428, 3694, 6, 4246, 10, 5730, 2342, 4467, 483, 7513, 30, 10, 31391, 1672, 9590, 6, 38668, 11212, 6, 13305, 6, 8, 21072, 4, 20, 15229, 11498, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 19, 10, 881, 21263, 9, 5, 12608, 401, 6, 12608, 406, 6, 12608, 401, 6, 163, 43531, 6, 8, 230, 119, 406, 33215, 16739, 6, 2351, 10, 11739, 9, 2933, 8, 1372, 6711, 29, 10686, 13, 10, 6717, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 61143, 50802, 53919, 50806, 52013, 53113, 61143, 50803, 51405, 54901, 61143, 51973, 61143, 50803, 52128, 50806, 52013, 55104, 61143, 52119, 51405, 52322, 55663, 50802, 53919, 50806, 52013, 53247, 55663, 50803, 51405, 55967, 55663, 52116, 55663, 50802, 52128, 50806, 52013, 52935, 55663, 50803, 51405, 56277, 55663, 50803, 50799, 63331, 50802, 53919, 50806, 52013, 53113, 63331, 50803, 51405, 54901, 63331, 51973, 63331, 50803, 52128, 50806, 52013, 55104, 63331, 52119, 51405, 52322, 59018, 50802, 53919, 50806, 52013, 53247, 59018, 50803, 51405, 55967, 59018, 52116, 59018, 50802, 52128, 50806, 52013, 52935, 59018, 50803, 51405, 56277, 59018, 50803, 50799, 63331, 50803, 53919, 50806, 52013, 56191, 63331, 52244, 63331, 50803, 51405, 54901, 63331, 51973, 63331, 50803, 52128, 50806, 52013, 55104, 63331, 52119, 51405, 52322, 55663, 50802, 53919, 50806, 52013, 53247, 55663, 50803, 51405, 55967, 55663, 52116, 55663, 50803, 52128, 50806, 52013, 55982, 55663, 52163, 55663, 50803, 51405, 56277, 55663, 50803, 50799, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 53113, 61143, 50802, 51405, 50806, 50741, 50286, 50806, 56258, 52247, 52128, 50806, 69807, 50806, 51640, 50806, 52013, 52686, 55663, 50803, 51405, 50806, 60082, 50806, 51132, 55246, 55663, 52057, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 53247, 61143, 50802, 51405, 52610, 52128, 50806, 52013, 52935, 51405, 50806, 50799, 61143, 50806, 61143, 50802, 63331, 51411, 53919, 50806, 56258, 50385, 57332, 52589, 53113, 61143, 50821, 61143, 50803, 51405, 54901, 61143, 50821, 61143, 51973, 61143, 50821, 61143, 50803, 61143, 51411, 52128, 50806, 51640, 50806, 51525, 52180, 50562, 55104, 61143, 50821, 61143, 52119, 51405, 50806, 51132, 52322, 61143, 50806, 55663, 50802, 59018, 51411, 53919, 50806, 51533, 50806, 52013, 52589, 53247, 61143, 50821, 55663, 50803, 51405, 55967, 61143, 50821, 55663, 52116, 61143, 50806, 55663, 50802, 55663, 51411, 52128, 50806, 51525, 52180, 50562, 52935, 61143, 50821, 55663, 50803, 51405, 56277, 61143, 50821, 55663, 50803, 50799, 61143, 50806, 63331, 50802, 63331, 51411, 53919, 50806, 56258, 50385, 57332, 52589, 53113, 61143, 50821, 63331, 50803, 51405, 54901, 61143, 50821, 63331, 51973, 61143, 50821, 63331, 50803, 61143, 51411, 52128, 50806, 51640, 50806, 51525, 52180, 50562, 55104, 61143, 50821, 63331, 52119, 51405, 50806, 51132, 52322, 61143, 50806, 59018, 50802, 59018, 51411, 53919, 50806, 51533, 50806, 52013, 52589, 52692, 61143, 50821, 59018, 50803, 51405, 52090, 54787, 61143, 50821, 59018, 52116, 61143, 50806, 59018, 50802, 55663, 51411, 52128, 50806, 51525, 52180, 50562, 52935, 61143, 50821, 59018, 50803, 51405, 56277, 61143, 50821, 59018, 50803, 50799, 61143, 50821, 63331, 50803, 63331, 51411, 53919, 50806, 56258, 50385, 57332, 52589, 56191, 61143, 50821, 63331, 52244, 61143, 50821, 63331, 50803, 51405, 54901, 61143, 50821, 63331, 51973, 61143, 50821, 63331, 50803, 61143, 51411, 52128, 50806, 51640, 50806, 51525, 52180, 50562, 55104, 61143, 50821, 63331, 52119, 51405, 50806, 51132, 52322, 61143, 50806, 55663, 50802, 59018, 51411, 53919, 50806, 51533, 50806, 52013, 52589, 53247, 61143, 50821, 55663, 50803, 51405, 55967, 61143, 50821, 55663, 52116, 61143, 50821, 55663, 50803, 55663, 51411, 52128, 50806, 51525, 52180, 50562, 55982, 61143, 50821, 55663, 52163, 61143, 50821, 55663, 50803, 51405, 56277, 61143, 50821, 55663, 50803, 50799, 55663, 50806, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 61143, 50806, 61143, 50802, 51405, 50806, 50741, 50286, 50806, 56258, 52247, 52128, 50806, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 55663, 50821, 55663, 50803, 51405, 50806, 60082, 50806, 51132, 55246, 55663, 50821, 55663, 52057, 55663, 50806, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 52589, 52692, 61143, 50806, 61143, 50802, 51405, 52090, 53153, 52128, 50806, 51525, 52180, 50562, 52935, 54324, 50803, 51405, 56277, 54375, 50803, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 51640, 50806, 51525, 52180, 50562, 52686, 76616, 55545, 50806, 52013, 52589, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 52422, 51640, 50806, 51525, 52180, 50562, 52686, 76616, 55545, 50806, 52013, 52589, 53153, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 54467, 50802, 50741, 50286, 50806, 56258, 52247, 54467, 50802, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 60082, 50806, 51132, 52322, 54467, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50803, 56258, 50385, 57332, 52589, 56191, 54375, 52244, 54324, 51973, 51640, 50806, 51525, 52180, 50562, 52686, 76616, 55545, 50806, 52013, 52589, 53153, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 51533, 50806, 52013, 52589, 53247, 54375, 52175, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54324, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 50741, 50286, 50806, 56258, 52247, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 60082, 50806, 51132, 52322, 73931, 50806, 51533, 50806, 52013, 52589, 50806, 52129, 53153, 51525, 52180, 50562, 52935, 53527, 52937, 55861, 50803, 50799, 55861, 50802, 63331, 51411, 56258, 50385, 57332, 52589, 53113, 53527, 52038, 61143, 51411, 51640, 50806, 51525, 52180, 50562, 52686, 51132, 52322, 59018, 51411, 51533, 50806, 52013, 52589, 53153, 55663, 51411, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 63331, 51411, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 61143, 51411, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 59018, 51411, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 50802, 55663, 51411, 51525, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50803, 63331, 51411, 56258, 50385, 57332, 52589, 56191, 54375, 52244, 54324, 51973, 61143, 51411, 51640, 50806, 51525, 52180, 50562, 52686, 51132, 52322, 59018, 51411, 51533, 50806, 52013, 52589, 53153, 55663, 51411, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 54467, 50802, 50741, 50286, 50806, 56258, 52247, 54467, 50802, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802 ]
[ 0, 250, 19448, 15855, 2125, 6, 533, 31, 10, 822, 19834, 6, 4246, 10, 15352, 30054, 21979, 8669, 4, 20, 2214, 16, 11, 274, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 1049, 33215, 16739, 16, 274, 119, 6, 274, 6, 274, 119, 6, 274, 6, 230, 119, 4, 2285, 63, 765, 13428, 6, 42, 15229, 7630, 6568, 10, 5679, 26709, 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 ]	[ 54458, 50429, 51007, 50809, 54039, 52359, 51007, 50809, 54039, 53307, 51007, 50809, 54039, 52444, 51007, 68783, 50809, 52403, 50809, 54039, 50809, 53271, 51192, 51246, 51192, 50441, 51257, 52510, 52403, 53401, 54039, 50809, 52012, 51167, 51131, 69560, 51257, 54139, 52403, 52485, 54039, 50809, 54432, 51167, 51207, 51167, 50459, 51257, 50809, 50799, 52403, 54745, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51125, 50967, 51257, 50967, 52403, 50967, 54696, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 58999, 50980, 51846, 56812, 54696, 54139, 51257, 52485, 52403, 53793, 54696, 50809, 68643, 50880, 52028, 50880, 50799, 52403, 54745, 54696, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54696, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51007, 50967, 51257, 50967, 52403, 50967, 54039, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 52012, 50980, 51131, 56812, 54039, 54139, 51257, 52485, 52403, 53793, 54039, 50809, 53271, 50880, 51207, 50880, 50799, 51257, 54745, 51257, 50809, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 50809, 54039, 53467, 51257, 50809, 54039, 52329, 51257, 50809, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 50809, 54696, 52359, 51298, 50809, 79445, 58397, 50936, 51504, 69200, 51298, 50809, 52548, 52444, 50939, 60878, 50983, 52403, 50983, 51246, 59779, 50850, 50809, 51131, 54989, 50847, 50809, 51207, 56312, 50872, 50809, 51504, 54411, 52562, 50880, 51136, 58215, 51444, 50880, 50960, 54647, 51725, 50880, 50986, 57521, 53271, 50880, 51246, 50880, 76572, 50880, 51246, 59630, 52012, 50880, 51131, 54658, 54432, 50880, 51207, 56299, 58397, 51167, 51504, 51167, 50429, 51007, 50809, 54039, 52359, 51007, 50809, 54039, 53307, 51007, 50809, 54039, 52444, 51007, 68783, 50809, 52403, 50809, 54039, 50809, 53271, 51192, 51246, 51192, 50441, 51257, 52510, 52403, 53401, 54039, 50809, 52012, 51167, 51131, 69560, 51257, 54139, 52403, 52485, 54039, 50809, 54432, 51167, 51207, 51167, 50459, 51257, 50809, 50799, 52403, 54745, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51125, 50967, 51257, 50967, 52403, 50967, 54696, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 58999, 50980, 51846, 56812, 54696, 54139, 51257, 52485, 52403, 53793, 54696, 50809, 68643, 50880, 52028, 50880, 50799, 52403, 54745, 54696, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54696, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51007, 50967, 51257, 50967, 52403, 50967, 54039, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 52012, 50980, 51131, 56812, 54039, 54139, 51257, 52485, 52403, 53793, 54039, 50809, 53271, 50880, 51207, 50880, 50799, 51257, 68783, 50809, 54039, 54745, 51257, 50809, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 50809, 54039, 53467, 51257, 50809, 54039, 52329, 51257, 50809, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 50809, 54696, 52359, 51298, 50809, 79445, 58397, 50936, 51504, 69200, 51298, 50809, 52548, 52444, 51007, 51161, 52403, 51161, 53271, 50880, 51246, 59779, 51131, 54989, 51207, 56312, 51504, 54411, 52562, 58215, 51444, 54647, 51725, 57521, 53271, 50880, 76572, 59630, 58397, 50936, 51504, 67808, 53271, 51167, 51246, 51167, 50429, 51257, 52359, 51439, 53307, 52238, 52444, 51649, 50809, 58397, 50980, 51504, 77756, 52238, 52510, 51439, 53401, 51257, 52555, 70602, 51725, 50980, 50453, 52238, 52485, 51649, 53793, 52238, 50809, 50799, 70602, 58397, 50980, 51504, 50980, 50417, 51257, 52628, 51439, 53467, 52238, 52329, 51649, 50809, 51725, 50980, 50986, 74177, 52238, 52359, 51439, 53307, 51257, 52444, 50939, 60878, 68783, 50809, 52403, 50809, 53271, 50980, 51246, 77756, 51649, 52510, 51439, 53401, 51257, 52555, 50939, 60878, 68783, 50809, 52403, 50809, 53271, 50980, 51246, 50980, 50453, 51649, 52485, 51439, 53793, 51257, 50809, 76952, 60878, 68783, 50809, 52403, 50809, 53271, 50980, 51246, 50980, 50417, 51649, 52628, 51439, 53467, 51257, 52329, 51298, 50809, 51725, 74177, 51007, 52359, 50909, 53307, 50939, 52444, 50850, 50809, 58397, 50980, 51504, 77756, 50872, 52510, 50850, 53401, 50909, 52555, 51298, 50809, 51725, 50980, 50986, 50980, 50453, 51257, 52485, 51439, 53793, 51649, 50809, 50799, 70602, 51504, 50980, 50970, 50980, 50417, 51257, 52628, 51149, 53467, 51257, 52329, 70602, 52562, 50980, 51136, 74177, 51257, 52359, 51149, 53307, 51298, 52444, 51007, 50983, 51444, 50880, 50960, 59779, 50986, 54989, 51246, 56312, 51131, 54411, 51725, 50880, 50986, 58215, 51246, 54647, 51131, 57521, 51246, 50880, 76220, 51112, 53271, 50880, 51246, 59630, 51207, 54658, 51444, 56299, 51504, 51167, 50429, 51257, 52359, 51439, 53307, 52238, 52444, 50850, 51060, 50909, 51060, 51298, 51060, 51649, 51060, 58397, 50980, 51131, 50980, 50447, 50872, 68783, 52555, 50847, 50809, 70602, 51725, 76335, 50992, 50809, 52238, 52485, 63224, 65420, 51257, 50865, 51649, 50865, 58397, 50936, 51504, 50936, 52177, 51257, 52628, 51149, 53467, 51257, 52329, 70602, 51504, 74177, 51257, 52359, 51149, 53307, 51298, 52444, 50939, 51060, 51007, 51060, 51257, 51060, 52403, 51060, 53271, 50980, 51246, 50980, 50447, 50872, 68783, 52555, 50847, 50809, 70602, 51504, 76335, 50850, 50809, 51649, 52485, 69155, 69357, 51257, 50865, 52403, 50865, 53271, 50936, 51246, 50936, 52177, 50872, 68783, 52628, 50847, 50809, 51439, 53467, 50850, 68783, 52329, 52403, 50809, 51504, 74177, 51649, 52359, 51439, 53307, 51257, 52444, 50850, 51060, 50909, 51060, 51298, 51060, 51649, 51060, 58397, 50980, 51504, 50980, 50447, 50872, 68783, 52555, 50847, 50809, 70602, 51725, 76335, 50992, 50809, 52238, 52485, 63224, 65420, 51298, 50865, 51649, 50865, 58397, 50936, 51504, 50936, 52177, 51439, 52628, 51257, 53467, 51439, 52329, 50850, 61056, 68783, 50809, 58397, 50980, 51504, 74177, 51298, 52359, 51007, 53307, 50909, 52444, 50939, 51161, 53271, 50880, 51246, 59779, 52012, 50880, 51131, 54989, 53271, 50880, 51246, 56312, 51725, 50880, 50986, 54411, 53805, 50880, 51317, 58215, 51725, 50880, 50986, 54647, 53805, 50880, 51317, 57521, 52562, 50880, 70952, 58700, 50880, 50970, 59630, 50986, 54658, 51131, 56299, 51504, 51167, 50429, 50872, 52359, 50939, 53307, 50909, 52444, 50872, 69684, 50809, 53271, 50980, 51246, 77756, 50909, 52510, 50939, 53401, 50872, 52555, 51017, 62690, 50809, 53271, 50980, 51246, 50980, 50453, 50909, 52485, 51125, 53793, 50909, 50809, 63649, 62690, 50809, 58999, 50980, 51846, 50980, 50417, 50872, 52628, 50939, 53467, 50909, 52329, 50872, 69684, 50809, 58999, 50980, 51846, 74177, 50909, 52359, 50939, 53307, 69155, 51298, 50865, 51840, 54930, 68643, 50980, 52028, 77756, 51257, 52510, 51298, 53401, 51257, 52555, 50939, 50809, 51298, 50809, 51840, 50809, 68643, 50980, 52028, 50980, 50453, 51257, 52485, 51298, 53793, 51257, 50809, 76952, 50809, 51298, 50809, 51840, 50809, 72187, 50980, 52562, 50980, 50417, 51257, 61456, 51298 ]
[ 0, 713, 14899, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 10563, 4, 590, 10, 20902, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 2382, 3459, 8669, 981, 5, 33301, 6, 2800, 30, 5, 4066, 23225, 9, 10, 2003, 38704, 31365, 25999, 4, 20, 12989, 2810, 6, 13822, 9, 31391, 1672, 8, 21979, 9590, 552, 19, 21072, 6, 11498, 10, 5204, 8, 20425, 27071, 1328, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2214, 22848, 10, 33215, 16739, 9, 83, 6, 211, 406, 6, 8, 3676, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77629, 51181, 50896, 51763, 50807, 51389, 50981, 54933, 67444, 52762, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 55722, 79714, 53219, 51181, 50896, 66469, 51389, 50981, 53804, 53162, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 55722, 53017, 51083, 63483, 57965, 52152, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 67444, 52712, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 58246, 79714, 52904, 51181, 50896, 66469, 51389, 50981, 53804, 52878, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 58246, 55097, 61014, 51083, 63483, 57965, 51370, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 54933, 67444, 52762, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 55722, 79714, 53219, 51181, 50896, 66469, 51389, 50981, 53804, 53162, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 55722, 53017, 51083, 63483, 57965, 52152, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 67444, 52712, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 58246, 79714, 52904, 51181, 50896, 66469, 51389, 50981, 53804, 52878, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 58246, 55097, 61014, 51083, 63483, 57965, 51370, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 54933, 67444, 52712, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 55722, 80029, 52766, 51181, 50896, 66469, 51389, 50981, 53804, 53162, 57683, 50983, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 55722, 53137, 51083, 63483, 57965, 52152, 50829, 53447, 50896, 57683, 50807, 51389, 50981, 53804, 69006, 64706, 52762, 51844, 50896, 62366, 71638, 50918, 51185, 50918, 51216, 50981, 58246, 79714, 52904, 51181, 50896, 58438, 50807, 51389, 50981, 53804, 73739, 52802, 51844, 50896, 51216, 50981, 58246, 53137, 58438, 50807, 51960, 53447, 50896, 51185, 50983, 52165, 50983, 51389, 50981, 54933, 52981, 57683, 50983, 58139, 51844, 50896, 51216, 50981, 58246, 52818, 52110, 50807, 56270, 51181, 50896, 51389, 50981, 53804, 53162, 52165, 51049, 54368, 52110, 51757, 51844, 50896, 52165, 50807, 51216, 50981, 55722, 53137, 57683, 50983, 63609, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 69006, 64706, 52762, 51844, 50896, 62366, 71638, 50983, 51185, 50983, 51216, 50981, 55722, 79714, 52904, 51181, 50896, 58438, 50807, 51389, 50981, 53804, 52878, 51185, 51370, 52802, 51844, 50896, 60827, 57965, 50807, 51216, 50981, 55722, 53137, 57683, 50983, 51960, 53447, 50896, 51185, 50807, 52165, 50807, 51389, 50981, 54933, 67444, 52712, 51844, 50896, 51023, 64014, 50981, 55722, 52818, 52110, 50807, 56270, 51181, 50896, 51389, 50981, 53804, 53162, 52165, 51370, 52802, 51844, 50896, 51023, 50807, 51216, 50981, 55722, 53137, 63609, 53447, 50896, 57683, 50807, 51389, 50981, 53804, 69006, 64706, 52762, 51844, 50896, 62366, 61538, 50983, 51268, 50983, 51023, 50983, 51216, 50981, 55722, 79714, 52904, 51181, 50896, 58438, 50807, 51389, 50981, 53804, 52878, 51185, 51370, 52802, 51844, 50896, 51023, 50807, 51216, 50981, 55722, 53137, 58438, 50807, 51960, 53447, 50896, 51389, 50981, 53804, 52981, 51185, 50983, 52165, 50983, 80077, 57683, 55834, 51844, 50896, 51216, 50981, 55722, 79714, 53219, 51181, 50896, 52110, 50807, 51389, 50981, 53804, 53162, 62435, 51370, 52802, 51844, 50896, 57683, 50807, 51185, 50807, 52165, 50807, 51216, 50981, 55722, 53017, 71973, 53447, 50896, 58850, 71638, 63997, 50795, 52165, 69535, 50981, 53804, 52981, 51185, 50795, 52165, 51370, 52712, 51844, 50896, 62435, 63997, 50795, 52165, 64014, 50981, 58246, 52953, 57683, 50983, 51185, 50795, 52165, 51370, 53116, 51181, 50896, 51185, 50795, 52165, 69535, 50981, 53804, 53162, 52110, 50807, 59056, 51844, 50896, 58438, 50807, 51216, 50981, 58246, 53137, 51185, 50795, 52165, 52152, 50829, 53447, 50896, 60827, 50807, 51185, 50795, 52165, 69535, 50981, 53804, 52981, 51185, 50795, 52165, 51370, 52762, 51844, 50896, 60827, 63997, 50795, 52165, 64014, 50981, 55722, 52953, 57065, 50807, 51185, 50795, 52165, 51370, 53219, 51181, 50896, 51185, 50795, 52165, 69535, 50981, 53804, 53162, 55910, 50983, 51185, 50795, 52165, 51370, 52802, 51844, 50896, 51185, 50807, 51216, 50981, 55722, 53017, 71973, 53053, 50896, 57721, 50918, 52078, 50981, 53804, 67444, 52712, 51181, 50896, 51083, 50983, 51061, 50983, 51389, 50981, 58246, 79714, 53116, 74897, 52078, 50981, 53804, 53162, 51208, 51370, 52772, 51181, 50896, 51061, 50807, 51389, 50981, 58246, 53137, 63609, 53053, 50896, 51401, 50807, 52078, 50981, 53804, 67444, 52762, 51181, 50896, 51061, 65779, 69535, 50981, 58246, 52953, 51023, 50807, 52093, 57842, 50896, 60985, 50795, 52078, 50981, 53804, 53162, 55910, 50983, 51185, 51370, 52802, 51181, 50896, 51020, 50807, 51389, 50981, 55722, 53017, 71973, 53053, 50896, 57721, 50918, 51401, 50807, 52078, 50981, 53804, 67444, 52712, 51181, 50896, 51061, 50983, 51208, 50983, 51389, 50981, 55722, 79714, 53116, 74897, 52078, 50981, 53804, 53162, 51061, 51370, 52772, 51181, 50896, 51083, 50807, 51389, 50981, 55722, 53137, 63609, 53053, 50896, 51401, 50918, 51208, 50918, 51185, 50918, 52078, 50981, 53804, 67444, 52762, 51181, 50896, 51389, 50981, 58246, 79714, 53219, 65476, 62435, 65779, 50807, 52078, 50981, 53804, 53162, 51374, 50849, 57683, 51358, 56890, 76616, 51061, 71638, 50807, 51389, 50981, 55722, 53017, 51137, 55163, 50835, 54468, 50896, 53240, 50981, 53804, 67444, 52712, 51374, 50896, 58850, 50983, 51020, 65779, 76674, 50795, 51984, 50981, 55722, 52953, 51020, 65779, 76674, 51370, 50841, 54585, 50896, 51020, 65779, 76674, 50795, 53240, 50981, 53804, 53162, 62435, 50983, 51020, 65779, 76674, 51370, 52772, 51374, 50896, 51020, 50807, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 53137, 63609, 54468, 50896, 57683, 50983, 51020, 50807, 51208, 50807, 51403, 50807, 53240, 50981, 53804, 63059, 52712, 51374, 50896, 51495, 58281, 50795, 51984, 50981, 58246, 52953, 58438, 50983, 51020, 50807, 51208, 50807, 51403, 50807, 51960, 54585, 50896, 53240, 50981, 53804, 53162, 51020, 65779, 76674, 51370, 50835, 51618, 53003, 51374, 50896, 57683, 50918, 51020, 50807, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 50835, 73145, 54468, 50896, 53240, 50981, 53804, 67444, 52762, 51374, 50896, 58850, 50918, 51020, 65779, 76674, 50795, 51984, 50981, 55722, 52953, 51020, 65779, 76674, 51370, 50829, 54585, 50896, 51020, 65779, 76674, 50795, 53240, 50981, 53804, 52875, 51020, 65779, 76674, 51370, 52802, 51374, 50896, 57683, 77169, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 53017, 71973, 54468, 50896, 58438, 50918, 51020, 65779, 76674, 50795, 53240, 50981, 53804, 52981, 51020, 65779, 76674, 51370, 52712, 51374, 50896, 51020, 65779, 76674, 50795, 51984, 50981, 55722, 52818, 51020, 50807, 51385, 50807, 52165, 50807, 51983, 54585, 50896, 57683, 50807, 53240, 50981, 53804, 53162, 51020, 65779, 76674, 51370, 50829, 51618, 53003, 51374, 50896, 57721, 50918, 51020, 50807, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 50829, 73145, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 67444, 52762, 51844, 50896, 55910, 51161, 51083, 50983, 51185, 50983, 51216, 50981, 55722, 79714, 53219 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 25, 5, 6922, 10320, 4, 8504, 11, 83, 538, 19, 10, 20902, 132, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 83, 8, 381, 406, 35315, 1328, 5, 2125, 6, 1271, 7, 63, 14899, 8, 20425, 16464, 6, 150, 5, 34879, 35334, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77669, 51038, 75040, 52136, 50989, 51637, 51120, 51922, 50432, 51176, 75868, 64248, 51027, 52386, 50310, 64359, 51086, 65379, 50904, 75040, 52136, 50989, 51637, 50432, 51176, 75868, 64248, 51027, 52386, 50310, 64359, 51086, 65379, 50904, 69953, 52916, 51027, 52528, 50989, 52140, 52076, 52323, 51114, 59288, 50951, 55191, 51120, 51806, 50899, 51806, 50999, 59612, 51787, 51853, 50301, 52056, 50899, 52056, 50989, 52056, 50444, 51430, 50972, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 67088, 73585, 51644, 50330, 54342, 51027, 71066, 74468, 72713, 51712, 50332, 50974, 75040, 71066, 74468, 52216, 50322, 51712, 50334, 58879, 51114, 50851, 51027, 71066, 74468, 75741, 50951, 53220, 51120, 67088, 52104, 50325, 53052, 51787, 50851, 51027, 71066, 74468, 75256, 51430, 50851, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 67088, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 67088, 52104, 50330, 53052, 51027, 71066, 74468, 70358, 51853, 50322, 73276, 51853, 50330, 50972, 69953, 71066, 70358, 51853, 50322, 73276, 51853, 50330, 59288, 51114, 55054, 50951, 53220, 51120, 67088, 52104, 50325, 53052, 51787, 50851, 51027, 71066, 74468, 75256, 51430, 50851, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 67088, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 67088, 73585, 51644, 50330, 54342, 51027, 71066, 74468, 72713, 51712, 50332, 50974, 75040, 71066, 74468, 52216, 50322, 51712, 50334, 58879, 51114, 50851, 51027, 71066, 74468, 75741, 50951, 53220, 51120, 67088, 52104, 50325, 53052, 51787, 50851, 51027, 71066, 74468, 75256, 51430, 50851, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 67088, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 71066, 52216, 50330, 55378, 51027, 71066, 74468, 70358, 51853, 50322, 73276, 51853, 50330, 50972, 52323, 51120, 51738, 50899, 52056, 50902, 51709, 51114, 51709, 50999, 51709, 51146, 51709, 50426, 51399, 55378, 51146, 52322, 51279, 51073, 51027, 51290, 51430, 51566, 75040, 50812, 51040, 50812, 59285, 50999, 53504, 51027, 50812, 51040, 50812, 59285, 50999, 51835, 51027, 70101, 56135, 72386, 52247, 51027, 70101, 56135, 51442, 50337, 52309, 51120, 63461, 51936, 50334, 51496, 75040, 63891, 75965, 57368, 51027, 63891, 75965, 52871, 51027, 58548, 62838, 54851, 51339, 50821, 51027, 58548, 62838, 65708, 51787, 52686, 51360, 51936, 50305, 51936, 50336, 50911, 51057, 51040, 58963, 50812, 58383, 51399, 53504, 51040, 58963, 50812, 58383, 51399, 51835, 51040, 57874, 60452, 51442, 50329, 52247, 51040, 57874, 60452, 51442, 50341, 52309, 51378, 51936, 50310, 51936, 50337, 51274, 51057, 51040, 50812, 63435, 57002, 50417, 51040, 50812, 63435, 50877, 52871, 51040, 62838, 58696, 54851, 51814, 77099, 62838, 58696, 65708, 51814, 51628, 51814, 51033, 51086, 50893, 51057, 51487, 79730, 71335, 50879, 54569, 71335, 51442, 50330, 50806, 52912, 52247, 50899, 71335, 65708, 51487, 52686, 51487, 51033, 51040, 50893, 51057, 51787, 50921, 50989, 58696, 56179, 50989, 58696, 51442, 50329, 50806, 53684, 52247, 50989, 58696, 65708, 51399, 52686, 51146, 51033, 51040, 50893, 51057, 51399, 50921, 50871, 60452, 50879, 55961, 60452, 72386, 50806, 51814, 52247, 50871, 60452, 65708, 51147, 50821, 52128, 52686, 50989, 65481, 51936, 50322, 51496, 51787, 51496, 51057, 50989, 58696, 56179, 50989, 58696, 54851, 51399, 55104, 51146, 52686, 51279, 69748, 51936, 50332, 50911, 75040, 50812, 51040, 50812, 59285, 50999, 53504, 51027, 50812, 51040, 50812, 59285, 50999, 51835, 51027, 70101, 56135, 72386, 52247, 51027, 70101, 56135, 51442, 50337, 52309, 51120, 63461, 51936, 50334, 51496, 75040, 63891, 75965, 57368, 51027, 63891, 75965, 52871, 51027, 58548, 62838, 54851, 51339, 50821, 51027, 58548, 62838, 65708, 51787, 52686, 51360, 51936, 50305, 51936, 50336, 50911, 51057, 51040, 58963, 50812, 58383, 51399, 53504, 51040, 58963, 50812, 58383, 51399, 51835, 51040, 57874, 60452, 51442, 50329, 52247, 51040, 57874, 60452, 51442, 50341, 52309, 51378, 51936, 50310, 51936, 50337, 51274, 51057, 51040, 50812, 63435, 57002, 50417, 51040, 50812, 63435, 50877, 52871, 51040, 62838, 58696, 54851, 51814, 77099, 62838, 58696, 65708, 51814, 51628, 51814, 51033, 51086, 50893, 51057, 51487, 79730, 71335, 50879, 54569, 71335, 51442, 50330, 50806, 52912, 52247, 50899, 71335, 65708, 51487, 52686, 51487, 51033, 51040, 50893, 51057, 51787, 50921, 50989, 58696, 56179, 50989, 58696, 51442, 50329, 50806, 53684, 52247, 50989, 58696, 65708, 51399, 52686, 51146, 51033, 51040, 50893, 51057, 51399, 50921, 50871, 60452, 50879, 55961, 60452, 72386, 50806, 51814, 52247, 50871, 60452, 65708, 51147, 50821, 52128, 52686, 50989, 65481, 51936, 50322, 51496, 51787, 51496, 51057, 50989, 58696, 56179, 50989, 58696, 54851, 51114, 55104, 50951, 52686, 51120, 63461, 51936, 50325, 50911, 51057, 51787, 50821, 51027, 58548, 62838, 78006, 51430, 53113, 51027, 58548, 62838, 51442, 50330, 52247, 68455, 51027, 58548, 62838, 65708, 50968, 52686, 51120, 63461, 51936, 50322, 51274, 75040, 58548, 62838, 56179, 51027, 58548, 62838, 54851, 62679, 51027, 58548, 62838, 65708, 51114, 52686, 51279, 69748, 75672, 50911, 51057, 70433, 51027, 70101, 63254, 56135, 78006, 51114, 53113, 62679, 51279, 69748, 65393, 50999, 52422, 72822, 51027, 70101, 63254, 56135, 65708, 51399, 52686, 51120, 63461, 68550, 53194, 50330, 51012, 75040, 58548, 62838, 67734, 52362, 50332, 50923, 56945, 58548, 62838, 51442, 50322, 52362, 50334, 57078, 51114, 50821, 51027, 58548, 62838, 65708, 50951, 52686, 51120, 63461, 51936, 50325, 50911, 51057, 51787, 50821, 51027, 58548, 62838, 78006, 51430, 53113, 51027, 58548, 62838, 51442, 50330, 52247, 68455, 51027, 58548, 62838, 65708, 50968, 52686, 51120, 63461, 51936, 50322, 51274, 75040, 58548, 62838, 56179, 51027, 58548, 62838, 54851, 62679, 51027, 58548, 62838, 65708, 51114, 52686, 51279, 69748, 75672, 50911, 51057, 70433, 51027, 70101, 63254, 56135, 78006, 51114, 53113, 62679, 51279, 69748, 65393, 50999, 52422, 72822, 51027 ]
[ 0, 250, 20902, 3495, 2214, 11, 274, 538, 6, 17407, 30, 41, 20425, 8, 15352, 30054, 13305, 819, 4, 590, 10, 1769, 20889, 9, 18461, 13410, 228, 2289, 8, 10, 231, 73, 398, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 20, 46336, 3184, 29769, 198, 5, 3222, 5785, 227, 5, 230, 406, 73, 717, 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 ]	[ 51540, 50632, 50899, 73273, 51127, 50997, 52644, 53645, 56509, 50906, 73273, 50943, 56279, 51619, 50326, 51538, 50462, 50871, 50981, 50474, 50906, 51003, 51540, 50899, 67883, 51103, 50997, 53454, 53645, 54975, 50906, 73273, 55441, 50899, 64571, 51518, 50462, 50871, 51003, 50474, 50906, 51003, 51540, 50997, 64292, 51127, 53645, 50981, 55898, 60006, 55441, 64062, 51050, 65421, 50876, 51124, 50462, 50871, 64292, 50914, 50474, 50956, 60559, 50943, 51540, 50997, 61739, 51518, 53337, 56692, 50871, 55247, 50997, 62163, 51127, 78092, 71207, 50871, 50981, 51540, 51086, 64951, 51103, 51026, 53082, 53337, 54975, 50861, 71946, 57197, 51086, 51807, 50330, 51692, 78092, 51003, 50474, 50861, 50915, 51540, 51086, 71946, 51103, 51026, 52644, 53337, 54975, 50861, 71946, 55441, 51086, 61739, 51518, 78092, 51003, 50474, 50861, 50915, 51540, 51086, 79327, 51103, 51026, 51692, 53337, 54975, 50861, 64951, 55441, 51220, 64774, 51619, 50299, 51422, 50453, 50999, 51116, 78092, 64951, 50889, 50474, 50989, 51807, 50325, 50914, 51540, 51086, 69836, 51692, 50951, 51359, 53337, 54975, 50997, 57105, 51027, 60045, 51003, 50462, 50997, 61861, 67883, 50914, 50474, 50900, 66533, 65910, 50943, 51540, 50899, 67883, 51127, 50997, 53082, 53645, 54975, 50906, 67883, 55441, 50899, 51619, 50326, 51518, 50462, 50871, 51003, 50474, 50906, 51003, 51540, 50899, 65910, 51127, 50997, 53082, 53645, 56692, 50906, 65910, 55082, 50899, 63129, 51486, 50462, 50871, 71207, 50906, 50915, 51540, 50997, 60006, 51103, 53645, 51003, 55898, 62163, 55082, 61673, 51050, 65421, 79844, 50462, 50871, 62163, 50943, 50474, 50956, 60559, 50914, 51540, 50997, 64571, 51538, 53337, 54975, 50871, 57105, 50997, 60006, 51103, 78092, 71207, 50871, 50981, 51540, 51086, 79327, 51127, 51026, 52644, 53337, 54975, 50861, 64951, 55441, 51086, 51619, 50330, 51486, 78092, 50981, 50474, 50861, 50981, 51540, 51086, 71946, 51127, 51026, 53454, 53337, 56509, 50861, 79327, 56508, 51086, 64571, 51486, 78092, 71207, 50861, 51003, 51540, 51086, 71946, 51127, 51026, 51422, 53337, 54975, 50861, 64951, 55441, 51220, 64774, 69836, 51677, 50453, 50999, 51124, 78092, 64951, 50914, 50474, 50989, 75052, 50914, 51540, 51086, 51619, 50299, 51677, 50951, 51359, 53337, 54975, 50997, 57105, 51027, 65117, 50981, 50462, 50997, 64763, 64951, 50889, 50474, 50900, 65227, 79327, 50889, 51540, 50900, 65910, 51127, 51027, 53454, 56040, 54975, 50871, 73273, 50943, 55895, 51741, 50333, 53380, 50462, 50956, 50981, 50474, 50871, 50915, 51540, 50997, 64763, 50981, 53645, 56692, 50956, 51619, 50333, 50943, 56279, 73273, 53259, 50462, 50900, 71207, 50997, 50981, 51540, 50900, 72944, 53454, 56040, 54975, 50871, 67883, 51003, 55895, 51619, 50333, 53363, 50462, 50956, 71207, 50871, 51003, 51540, 50997, 61861, 50981, 53645, 54975, 50899, 51741, 50333, 55441, 50997, 67883, 51183, 50462, 51050, 50981, 50474, 51120, 51807, 50333, 50943, 51540, 51234, 65910, 51103, 53337, 56692, 50871, 67883, 55441, 50899, 51741, 50326, 51486, 50997, 51717, 50462, 50871, 71207, 50906, 51003, 51540, 50899, 67883, 51077, 53645, 56692, 50906, 73273, 50943, 56279, 61739, 51538, 50462, 50871, 51003, 50474, 50906, 50915, 51540, 51050, 62163, 51077, 53645, 54975, 50899, 60006, 56508, 67666, 51050, 51003, 50453, 79844, 50462, 50871, 62163, 50943, 50474, 50956, 60559, 50914, 51540, 50997, 61849, 60006, 51486, 53645, 54975, 50956, 50981, 56279, 51003, 50462, 50900, 71207, 50997, 50981, 51540, 50900, 73273, 51103, 51027, 53082, 56040, 56692, 50871, 67883, 51003, 55895, 51741, 50333, 53363, 50462, 50956, 50981, 50474, 50871, 50981, 51540, 50997, 61861, 50915, 53645, 56692, 50956, 51741, 50333, 51003, 56279, 67883, 53259, 50462, 50900, 71207, 50997, 50915, 51540, 50900, 73657, 53454, 56040, 56509, 50871, 67883, 50943, 55895, 51741, 50333, 53380, 50462, 50956, 50981, 50474, 50871, 50981, 51540, 50997, 64763, 50915, 53645, 54975, 50899, 51741, 50333, 56508, 50997, 65910, 51077, 50462, 51050, 50981, 50474, 51120, 51619, 50333, 51003, 51540, 51234, 65910, 51077, 53337, 56692, 50871, 67883, 50943, 56279, 51807, 50326, 51518, 50997, 52122, 50462, 50871, 50981, 50474, 50906, 50915, 51540, 50899, 67883, 51103, 53645, 56509, 50906, 65910, 55441, 50899, 64571, 51486, 50462, 50871, 71207, 50906, 50981, 51540, 51050, 64292, 51183, 53645, 54975, 50899, 62163, 55441, 64062, 51050, 51003, 50453, 50876, 51124, 50462, 50871, 62163, 50943, 50474, 50956, 59258, 50943, 51540, 50997, 64763, 62163, 51518, 56759, 54975, 50997, 55247, 51234, 58657, 51538, 51001, 51518, 50462, 50997, 51003, 50474, 50997, 50915, 51540, 51234, 59782, 51486, 50902, 51518, 56759, 54975, 50997, 57197, 51234, 66533, 51692, 50876, 51518, 50462, 50997, 50981, 50474, 50997, 50915, 51540, 51234, 61861, 60597, 50889, 53337, 60006, 56389, 50997, 62163, 56508, 60437, 51026, 77204, 50906, 51255, 50462, 50997, 58421, 50914, 50474, 51026, 60006, 50914, 51540, 51197, 59258, 50943, 56947, 59937, 53912, 51197, 60559, 56508, 51050, 60559, 50914, 50462, 51027, 61739, 50914, 50474, 51050, 59937, 50943, 51540, 51234, 62163, 51183, 56759, 56692, 50997, 50981, 56222, 73273, 50914, 50462, 50997, 69928, 50943, 50474, 50997, 77240, 50943, 51540, 50871, 69928, 55973, 50997, 61739, 56389, 50997, 63129, 55441, 50956, 64571, 50914, 50462, 50997, 60559, 50943, 50474, 50997, 60559, 50943, 51540, 50899, 64292, 55973, 50997, 64292, 55965, 50997, 62163, 55082, 60437, 51026, 77204, 50906, 51124, 50462, 50997, 60598, 51003, 50474, 51026, 64292, 50943, 51540, 51197, 59258, 54243, 51026, 59937, 56389, 51197, 59937, 55082, 64062, 51050, 65421, 50876, 51124, 50462, 51027, 62163, 50889, 50474, 51050, 59258, 50943, 51540, 51234, 61739, 51003, 56759, 61739, 56389, 51027, 61739, 55441, 64341, 50997, 51003, 50453, 50902, 51221, 50462, 51027, 59937, 50914, 50474, 50997, 64571, 50943, 51540, 51026, 73093, 55973, 51027, 71278, 56509, 50997, 68504, 55441, 66771, 50900, 77204, 50968, 51124, 50462, 50997, 63129, 50943, 50474, 50900, 68504, 50914, 51540, 51027, 65910, 54243, 50877, 65910, 56389, 50871, 65910, 57197, 50951, 63891, 65421, 50931, 51255, 50462, 50871, 68504, 50889, 50474, 50899, 67883, 50914, 51540, 50997, 64951, 50943, 53337, 64951, 56389, 50997, 64951, 55441, 50900, 79327, 51003, 50462, 50916, 51741, 50325, 50914, 50474, 50900, 79327, 50943, 51540, 51050, 67883, 55973, 51027, 51619, 50333, 56389, 51050, 51741, 50333, 55441, 51487, 50812, 51120, 65421, 51339, 51116, 50462, 51050, 51619, 50332, 50914, 50474, 51120, 51619, 50333, 50914, 51540, 51234, 51741, 50335, 57908, 51120, 51619, 50335, 56389, 51234, 51741, 50335, 57197, 51085, 51741, 50335, 50943, 50462, 51315, 51741, 50337, 50914, 50474, 51085, 51619, 50335, 50914, 51540, 51339, 78167, 78042, 50931, 56509, 50931, 55441, 50931, 50943, 50462, 50968, 50943, 50474, 50931, 50914, 51540, 50968, 55973, 50931, 55965, 50931, 56508, 50968, 50943, 50462, 50931, 50889, 50474, 50931, 50889, 51540, 50968, 64912, 74333, 52644, 75536, 51562, 53645, 54975, 50906, 73273, 55082, 50899, 51619, 50326, 51518, 50462, 50871, 71207, 50906, 50981, 51540, 50968, 65860, 74333, 52644, 75536, 51446, 53645, 56692, 50906, 67883, 55082, 50899, 61739, 51486, 50462, 50871, 51003, 50474, 50906, 51003, 51540, 61233, 50997, 51003, 50417, 50906, 51413 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 4246, 10, 6755, 12547, 6, 24896, 6, 20535, 483, 6, 2342, 4467, 6, 8, 38668, 22052, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 5913, 163, 5683, 4, 20, 1049, 33215, 16739, 6, 274, 10431, 8, 230, 10431, 6, 35315, 1328, 5, 15229, 6, 2351, 10, 5679, 26709, 8, 23975, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57528, 50796, 50796, 50444, 52083, 53794, 52251, 53702, 51827, 50873, 55984, 51189, 54549, 51748, 52606, 51748, 52582, 52829, 52161, 51351, 51320, 50834, 57009, 56572, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 57644, 55028, 51525, 54695, 53962, 51640, 51103, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 52875, 52083, 50849, 51525, 71746, 50870, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50849, 69661, 55079, 51525, 54695, 54059, 51857, 50845, 52083, 50910, 52553, 50863, 53341, 50928, 55556, 50983, 54064, 51748, 53496, 51671, 52083, 52411, 50898, 50829, 57009, 64301, 52161, 55926, 52671, 51363, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 60388, 55001, 51525, 54695, 77985, 54075, 51640, 51077, 63192, 61102, 53018, 51190, 53315, 50908, 62250, 53114, 52083, 50865, 51525, 71746, 50863, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50938, 69661, 55079, 51525, 54695, 54059, 51727, 50805, 51827, 52972, 51041, 50863, 53341, 50928, 65718, 51141, 54549, 51671, 52606, 51671, 52582, 52829, 51827, 78060, 50834, 57009, 67722, 52251, 58160, 52083, 51400, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 57644, 54974, 51525, 54695, 53962, 51640, 51077, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 54905, 52671, 52711, 52161, 50938, 51525, 71746, 50870, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 57358, 53784, 55079, 51525, 54695, 54059, 54457, 50849, 52251, 50901, 52553, 50863, 53341, 50928, 51094, 50273, 51295, 54064, 51748, 53496, 51449, 52083, 51003, 51320, 50829, 57009, 56166, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 60388, 54974, 51525, 54695, 77985, 54075, 51640, 51077, 63192, 61102, 53018, 51190, 53315, 50908, 62250, 53114, 52083, 50917, 51525, 71746, 50863, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50938, 69661, 55079, 51525, 54695, 54059, 51827, 51654, 51041, 50863, 62250, 50837, 53341, 50928, 55984, 51218, 54549, 51671, 52606, 51449, 52582, 52829, 52161, 51157, 51320, 50834, 57644, 56166, 62250, 61044, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 50928, 57009, 52917, 69661, 50846, 62250, 55028, 51525, 54695, 53962, 51640, 51077, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 52875, 52161, 50845, 51525, 71746, 50870, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 51060, 69661, 55079, 51525, 54695, 54059, 51857, 50845, 52251, 50901, 52553, 50863, 53341, 50928, 55556, 50983, 54064, 51671, 53496, 51449, 52083, 51110, 51320, 50829, 60388, 56572, 62250, 61044, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 62250, 54974, 51525, 54695, 77985, 54075, 51640, 51077, 63192, 61102, 53018, 51190, 53315, 50908, 62250, 52875, 52083, 57358, 71746, 50863, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50938, 69661, 55079, 51525, 54695, 54059, 51727, 50805, 51827, 50897, 52553, 50863, 60388, 50837, 53341, 50928, 65718, 51141, 54549, 51671, 52606, 51671, 52582, 51671, 51827, 50897, 51320, 50834, 57009, 56572, 62250, 53405, 52083, 51346, 51960, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 57644, 54956, 51525, 54695, 53962, 51640, 51336, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 52875, 52161, 50849, 51525, 71746, 50870, 60388, 50829, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 50849, 69661, 55079, 51525, 54695, 54059, 54457, 50849, 52251, 51654, 51041, 50863, 53341, 50928, 51094, 50273, 51295, 54064, 51671, 53496, 51671, 52582, 51671, 52083, 51056, 51320, 50829, 60388, 56166, 62250, 60740, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 50928, 60388, 52712, 52083, 51159, 69661, 50846, 62250, 54956, 51525, 54695, 77985, 54075, 51640, 51336, 63192, 61102, 53018, 52083, 50805, 51190, 53315, 50908, 62250, 53114, 51525, 71746, 50863, 60388, 50863, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 52476, 50559, 53784, 55079, 52251, 53597, 50559, 54695, 54059, 51827, 51747, 51041, 50863, 53341, 50928, 55984, 51189, 54549, 51748, 52606, 51748, 52582, 52829, 52736, 53201, 53034, 51748, 53608, 53201, 54027, 51998, 53216, 50800, 52708, 50854, 52077, 50810, 52525, 54897, 50898, 50834, 57644, 55138, 62250, 61072, 50870, 50770, 50285, 53471, 53928, 50844, 56212, 54592, 50559, 53802, 52373, 53098, 54027, 51998, 52813, 50905, 54113, 51074, 53216, 50858, 52708, 50812, 52077, 50844, 52525, 50371, 55913, 53784, 50846, 60388, 53943, 51525, 54695, 53962, 51640, 51103, 53928, 50827, 56212, 62730, 50888, 61102, 53018, 54027, 51998, 53216, 50808, 52708, 50812, 52077, 50822, 52525, 50941, 52029, 53315, 50908, 62250, 52986, 51525, 71746, 50870, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 53928, 50822, 56212, 54592, 50559, 55335, 63078, 51525, 57855, 51525, 52805, 54027, 55177, 52813, 50838, 54113, 51166, 53216, 51116, 52708, 51124, 52525, 51203, 69661, 50846, 62250, 55423, 51525, 54695, 54059, 51857, 50845, 52553, 55053, 55830, 51998, 55161, 50810, 54570, 50810, 53216, 53869, 50928, 55556, 50983, 54064, 51748, 53496, 51671, 52072, 51449, 54027, 51998, 54570, 50812, 52708, 50854, 52077, 53197, 50898, 50829, 57644, 55138, 62250, 60740, 50870, 50770, 50285, 53471, 53928, 50874, 56212, 58112, 50559, 53802, 52373, 53098, 54027, 51998, 52813, 50905, 54113, 51166, 54570, 50808, 52708, 50812, 52077, 53597, 50559, 53784, 50846, 60388, 53943, 51525, 54695, 77985, 54075, 51640, 51077, 53928, 50838, 56212, 62730, 50888, 61102, 53018, 54027, 51998, 54570, 50833, 52708, 50812, 52077, 50854, 51190, 53315, 50908, 62250, 52875, 51525, 71746, 50863, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 53928, 50822, 56212, 58112, 50559, 55335, 63078, 51525, 57855, 51525, 52805, 54027, 55177, 52813, 51534, 54113, 51852, 54570, 51116, 52708, 51124, 52077, 51363, 69661, 50846, 62250, 54781, 51525, 54695, 54059, 51727, 51654, 51041, 55053, 55830, 51998, 55161, 50844, 54570, 50874, 53216, 53869, 50928, 65718, 51141, 54549, 51671, 52606, 51671, 52582, 52829, 52398, 51449, 52252, 51671, 53034, 52503, 54027, 51998, 53216, 50812, 52708, 50854, 52525, 53197, 50898, 50834, 57644, 56166, 62250, 61044, 50870, 50770, 50285, 53471, 53928, 50822, 56212, 54592, 50559, 53802, 52373, 53098, 54027, 51998, 53122, 50845, 53020, 51079, 53216, 50812, 52708, 50854, 52525, 52406, 50559, 53784, 50846, 60388, 56609, 51525, 54695, 53962, 51640, 51077, 54313, 50905, 54236, 51432, 63192, 61102, 53018, 54027, 51998, 53928, 51097, 56212, 52011, 53216, 50812, 52708, 50854, 52525, 50854, 52029, 53315, 50908, 62250, 53114, 51525, 71746, 50870, 60388, 50835, 50770, 50285, 59513 ]
[ 0, 250, 8787, 3495, 3152, 15229, 11, 211, 538, 6, 42, 2125, 16, 10, 5797, 990, 1506, 9, 657, 6, 11098, 6, 8, 15352, 30054, 22845, 41708, 6, 19, 12577, 20292, 8, 5679, 26709, 223, 34693, 4, 11281, 33938, 8669, 6, 6755, 12547, 6, 21979, 8, 3459, 29589, 6, 8, 769, 196, 6757, 35810, 561, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 19, 10, 33215, 16739, 9, 272, 6, 274, 10431, 119, 6, 381, 6, 83, 6, 8, 272, 401, 1271, 7, 63, 36355, 2088, 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 ]	[ 56103, 57128, 50791, 50917, 51544, 51174, 51570, 51432, 52320, 51051, 50799, 51229, 50803, 51181, 51184, 59416, 51007, 50901, 52807, 51036, 56007, 52096, 57010, 52121, 51444, 50901, 64629, 51078, 50937, 50947, 51158, 51067, 51100, 50417, 51590, 54681, 51390, 51300, 50423, 51444, 50825, 78772, 51078, 52641, 56955, 51007, 50892, 51444, 51008, 63557, 73776, 78672, 51067, 64388, 52749, 51078, 59817, 55878, 51007, 50844, 51444, 50838, 67293, 72212, 67418, 51067, 51008, 50441, 62765, 51078, 54406, 51229, 50803, 55878, 51007, 50822, 51444, 51008, 71539, 73776, 50947, 50959, 51067, 67168, 51590, 52741, 51390, 50803, 58119, 51078, 51949, 53987, 55878, 62893, 51444, 50886, 50960, 54232, 51590, 50803, 55853, 51007, 50844, 51444, 50862, 78131, 50836, 73062, 51067, 57023, 51229, 52282, 53447, 51184, 56105, 51007, 50810, 52807, 51036, 51444, 50901, 69088, 51078, 50925, 50947, 50938, 51067, 51121, 50423, 56555, 73188, 51444, 50864, 51078, 52872, 55119, 51007, 50901, 51444, 50878, 70497, 51078, 50942, 77457, 51067, 64834, 52749, 58119, 51078, 58721, 51229, 50803, 56955, 51007, 50810, 51444, 51008, 50986, 51058, 64323, 67418, 51067, 60592, 51590, 61032, 51390, 50803, 55878, 51007, 50984, 51078, 54485, 51924, 50802, 55853, 51007, 50901, 51444, 50813, 73248, 72212, 63079, 51067, 58238, 51390, 56491, 50827, 51444, 50822, 50986, 53657, 53987, 55878, 62893, 51078, 50809, 75727, 51067, 58298, 51924, 56548, 64889, 50810, 51444, 50820, 50986, 57187, 51078, 50834, 50799, 51390, 51029, 51181, 51184, 56955, 51007, 50845, 52807, 51036, 51444, 50917, 51311, 50917, 51078, 50897, 51076, 50974, 51067, 55689, 62765, 51007, 58910, 51311, 50863, 51078, 52670, 55853, 51007, 50974, 51444, 50942, 51311, 50925, 77673, 51076, 50933, 51067, 59576, 52749, 62765, 51078, 59817, 55878, 51007, 50974, 51444, 50878, 51311, 50878, 70549, 51076, 51008, 51067, 58927, 51229, 61618, 51590, 50854, 62765, 51444, 50863, 51078, 53027, 51390, 56491, 67917, 51255, 51444, 50878, 51311, 50955, 75655, 51076, 50933, 51067, 56060, 51229, 50803, 61632, 51078, 51949, 53987, 51590, 50859, 56555, 62893, 51444, 50864, 51311, 54232, 51390, 56491, 50827, 51007, 50907, 51444, 50886, 51311, 50886, 51078, 50859, 51076, 50833, 76610, 50799, 51924, 50803, 51181, 51184, 50850, 67917, 50845, 52807, 51036, 51444, 50901, 51131, 50879, 51078, 50878, 70696, 51067, 51111, 50417, 51390, 55446, 51590, 50879, 51078, 58362, 51444, 50870, 51078, 53098, 51229, 51090, 55853, 51007, 51534, 51444, 50905, 51131, 50977, 69605, 67418, 51067, 51101, 50832, 52749, 51078, 58721, 61632, 76525, 51444, 51006, 51131, 50987, 51078, 51008, 50947, 50955, 51067, 53264, 51229, 58746, 51590, 50854, 58119, 51007, 51123, 51131, 50863, 51078, 53325, 51390, 50824, 50850, 63253, 51645, 51444, 50974, 51131, 51101, 66253, 64102, 51067, 58175, 51078, 60348, 53987, 58119, 51007, 50972, 51444, 50886, 51131, 54199, 51229, 61267, 51123, 51078, 50841, 50947, 68561, 54655, 51590, 50859, 56555, 51131, 50941, 50799, 51229, 51029, 51181, 51184, 50850, 71899, 51116, 52807, 51036, 51444, 50873, 74975, 50960, 51100, 74892, 50947, 50952, 51067, 73965, 50850, 54504, 50850, 64108, 50845, 51444, 50977, 51131, 50901, 65813, 51078, 50925, 50947, 50917, 51067, 58214, 52749, 50850, 53720, 55878, 51007, 50892, 51444, 50866, 51131, 50866, 50960, 51058, 51078, 50971, 62458, 51067, 54123, 51664, 53609, 51912, 50859, 51078, 53858, 51322, 50824, 55853, 51007, 51172, 51444, 50854, 51131, 50864, 51078, 50864, 50947, 50942, 51067, 76791, 51078, 53421, 51444, 50810, 51131, 50955, 50960, 59576, 53987, 56955, 51007, 50972, 51078, 55433, 51366, 50802, 51078, 62222, 50809, 51067, 57326, 61632, 51444, 50829, 50960, 50835, 50799, 51322, 51541, 51181, 51184, 55119, 51007, 50845, 52807, 51036, 51444, 50901, 50986, 50879, 51078, 50925, 50947, 50924, 51067, 55099, 50850, 56237, 51007, 50984, 51078, 52872, 55878, 51007, 51363, 51444, 50942, 50986, 50942, 51078, 50840, 78129, 51067, 64834, 52749, 51366, 50803, 62765, 51078, 58721, 51547, 50810, 55878, 51007, 50822, 51444, 50878, 73065, 64323, 67418, 51067, 58866, 51229, 58746, 51590, 50844, 55878, 51007, 50907, 51444, 50834, 50986, 50837, 51078, 54189, 51390, 50824, 50850, 63253, 50845, 51444, 50977, 79740, 51078, 50955, 50947, 50955, 51067, 58460, 62765, 51078, 51949, 53987, 56555, 51007, 50972, 51444, 50855, 50986, 54583, 58119, 51444, 50855, 50986, 50840, 51078, 50887, 50947, 50962, 51067, 50840, 53447, 51184, 50850, 67917, 50845, 52807, 50807, 51444, 50845, 51311, 50845, 51078, 50910, 51076, 51212, 51067, 52864, 51366, 56491, 50912, 51078, 52872, 51322, 50882, 56955, 51007, 50892, 52807, 51161, 51444, 50845, 51311, 50937, 51078, 50897, 51076, 50987, 51067, 64388, 55658, 51912, 52749, 51322, 51090, 50435, 56955, 51007, 50822, 51444, 50978, 51311, 50955, 70549, 51076, 50955, 51067, 78013, 58119, 51444, 50863, 51311, 50870, 51078, 53594, 51912, 50858, 55853, 51007, 50845, 51444, 50942, 51311, 51008, 70549, 51076, 51058, 51067, 67168, 51664, 54721, 51912, 50859, 58119, 51078, 52859, 53987, 51664, 50950, 55878, 51007, 50822, 51444, 50942, 51311, 52863, 52812, 50808, 55878, 51078, 50887, 51076, 50833, 51067, 53793, 51444, 50835, 51311, 50835, 53447, 51184, 50850, 66362, 50901, 52807, 51036, 51444, 51101, 51131, 50805, 51078, 50959, 66906, 51067, 77772, 62765, 51078, 52966, 50850, 51681, 50318, 50905, 51444, 50845, 71494, 51078, 50925, 50947, 50924, 51067, 59145, 54125, 51547, 51653, 56955, 51007, 50974, 51444, 51058, 51131, 50937, 51078, 50959, 67418, 66863, 50441, 58119, 51444, 50863, 51131, 50867, 51078, 54394, 51229, 58857, 50874, 51007, 50838, 51444, 50974, 51131, 50901, 51078, 51008, 50947, 50942, 51067, 55125, 51366, 50993, 62765, 51078, 57296, 53987, 58119, 62893, 51444, 50874, 51131, 61898, 51209, 50993, 50850, 63253, 50974, 75655, 70182, 51067, 50854, 50799, 51322, 51745, 51181, 51184, 59416, 51007, 50901, 52807, 51036, 51444, 50901, 64629, 51078, 50937, 50947, 51158, 51067, 51100, 55822, 59176, 52457, 65393, 51444, 50825, 78772, 51078, 50825, 55822, 53950, 56955, 51007, 50892, 51444, 51008, 63557, 73776, 78672, 51067, 64388, 50812, 52457, 54729, 51078, 51004, 55822, 56535, 55878, 51007, 50844, 51444, 50838, 67293, 72212, 67418, 51067, 51008, 52457, 73824, 62765, 51078, 51004, 55822, 54811, 55878, 51007, 50822, 51444, 51008, 71539, 73776, 50947, 50959, 51067, 50942, 52376, 56762, 52522, 54721, 58119, 51078, 51949, 53987, 55878, 62893, 51444, 50886, 50960, 54232, 55853, 51007, 50844, 51444, 50862, 78131, 50836, 73062, 51067, 50862, 53447, 51184, 56105, 51007, 50810, 52807, 51036, 51444, 50901, 69088, 51078, 50925, 50947, 50938, 51067, 51121, 55822, 59176, 52457, 65393, 56555, 73188, 51444, 50864, 51078, 50870, 55822, 53950, 55119, 51007, 50901, 51444, 50878, 70497, 51078, 50942, 77457, 51067, 64834, 50812, 52457, 54729, 58119, 51078, 50982, 55822, 56535, 56955, 51007, 50810, 51444, 51008, 50986, 51058, 64323, 67418, 51067, 50977, 51652, 73824, 55878, 51007, 50984, 51078, 50928, 52522, 54811, 55853, 51007, 50901, 51444, 50813, 73248, 72212, 63079, 51067, 50955, 52457, 55149, 56555, 51444, 50822, 50986, 53657, 53987, 55878, 62893, 51078, 50809, 75727, 51067, 58298, 55119, 51007, 50810, 51444, 50820, 50986, 57187, 51078, 50834, 53447 ]
[ 0, 250, 2635, 12, 20764, 6, 8787, 15855, 30062, 620, 7085, 2125, 11, 211, 538, 6, 7630, 14805, 10, 25306, 5466, 3820, 19, 4149, 6, 9733, 6, 814, 6, 8, 9066, 2821, 16235, 4, 20, 6755, 12547, 6, 4246, 21711, 1344, 6, 26432, 636, 3938, 22052, 6, 8, 1515, 24496, 6, 1239, 5, 483, 6, 150, 5, 6168, 3540, 3639, 10, 16141, 2236, 7, 5, 15229, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 211, 6, 272, 6, 211, 6, 8, 83, 6, 2351, 10, 1472, 9, 21420, 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 ]	[ 50799, 50619, 50456, 65431, 73877, 52115, 51107, 51631, 51182, 51736, 51558, 51646, 53958, 50807, 53767, 50807, 51946, 50918, 53883, 50918, 66465, 74611, 69961, 57853, 50795, 56511, 65213, 74611, 51107, 54790, 51182, 58350, 74611, 51107, 52510, 66465, 74611, 67837, 57853, 50795, 56511, 59830, 74611, 51107, 59787, 74611, 51107, 52555, 52900, 50807, 56940, 50807, 66465, 51093, 50809, 64884, 50795, 54610, 64751, 51093, 50809, 51266, 57637, 51093, 50809, 51266, 52485, 51301, 50809, 66465, 51284, 50809, 64884, 50795, 54610, 59831, 66465, 51093, 50809, 51182, 53793, 51600, 59107, 66465, 51093, 57747, 51266, 50809, 50799, 52665, 50983, 52601, 50983, 76017, 66465, 79206, 59213, 50795, 56577, 66139, 66465, 51357, 54745, 51107, 60232, 66465, 51357, 52628, 53839, 50795, 53958, 64096, 50809, 66465, 68831, 59213, 50795, 56577, 60010, 66465, 51357, 59474, 66465, 51357, 52329, 53839, 50795, 52614, 64096, 50809, 74821, 59213, 50795, 56577, 64977, 74821, 51113, 57766, 74821, 51113, 52359, 53839, 50795, 52900, 50795, 52601, 50795, 56065, 64096, 50809, 74821, 69401, 59213, 50795, 56577, 57775, 74821, 65269, 51266, 59079, 74821, 65269, 51093, 52444, 53839, 50807, 52900, 50807, 52601, 50807, 56065, 50807, 76017, 74821, 67914, 50440, 74821, 51113, 58344, 74821, 51113, 52510, 76017, 74821, 59213, 50795, 56577, 59830, 74821, 51113, 59787, 74821, 51113, 52555, 52203, 50795, 53958, 50795, 53883, 50795, 61249, 64096, 50809, 76017, 71006, 57853, 50795, 56511, 64751, 66465, 51088, 57637, 66465, 51088, 52485, 66465, 74611, 51600, 59831, 74611, 51107, 59107, 74611, 69401, 63441, 50809, 51600, 50809, 60595, 50416, 51093, 50809, 51266, 50865, 50418, 51093, 52628, 66465, 51088, 50795, 51266, 60010, 51093, 59474, 51093, 52329, 66465, 51266, 50809, 51357, 64977, 74611, 51107, 50865, 50430, 51357, 52359, 66465, 51301, 50795, 51107, 57775, 51357, 59079, 51357, 52444, 51301, 50809, 66465, 72165, 57375, 50795, 56531, 65213, 51301, 50809, 51088, 58344, 51301, 50809, 51088, 52510, 51301, 50809, 66465, 57375, 50795, 56531, 59830, 51301, 50809, 51088, 59787, 51301, 50809, 51088, 52555, 53839, 50807, 52900, 50807, 52601, 50807, 56065, 50807, 74821, 65269, 67914, 59213, 50795, 56577, 64751, 74821, 51113, 57637, 74821, 51113, 52485, 74821, 65269, 59213, 50795, 56577, 59831, 74821, 51113, 59107, 74821, 65269, 50799, 53958, 50807, 52203, 51358, 51946, 50918, 53883, 50918, 76017, 66465, 74681, 57853, 50795, 56511, 66139, 76017, 51088, 59748, 76017, 51088, 52628, 76017, 66465, 57853, 50795, 56511, 60010, 76017, 51088, 59474, 76017, 51088, 52329, 56940, 50807, 51299, 50809, 66465, 66287, 64884, 50795, 54610, 64977, 51299, 50809, 51088, 57766, 51299, 50809, 51088, 52359, 51299, 50809, 66465, 64884, 50795, 54610, 57775, 51299, 50809, 51088, 59079, 51299, 50809, 51301, 52444, 52203, 50807, 52665, 50983, 52601, 50983, 52065, 50809, 76017, 75840, 59213, 50795, 56577, 65213, 52065, 50809, 51251, 58344, 52065, 50809, 51251, 52510, 52494, 50795, 52065, 50809, 76017, 56577, 50795, 54708, 59830, 52065, 50809, 51251, 59787, 52065, 50809, 51251, 52555, 52494, 50795, 53839, 50795, 51883, 50809, 76017, 51491, 50795, 59213, 50795, 56577, 64751, 51301, 50809, 51113, 57637, 66465, 51357, 52485, 53258, 61503, 50809, 51093, 58839, 66465, 51357, 59107, 74821, 65269, 50799, 53020, 67583, 50795, 51357, 52115, 53258, 51631, 57293, 51736, 74006, 51646, 62087, 50800, 66465, 74611, 51088, 50795, 57853, 50795, 56511, 61187, 50619, 50440, 74611, 51107, 54790, 57293, 58350, 74611, 51107, 52510, 50619, 57293, 50807, 66465, 74611, 51088, 59830, 74611, 51107, 59787, 74611, 51107, 52555, 66465, 51093, 50809, 51299, 50795, 64884, 50795, 54610, 64751, 51093, 50809, 51266, 57637, 51093, 50809, 51266, 52485, 50619, 62087, 50809, 51301, 50809, 66465, 51299, 61393, 57293, 58839, 66465, 51093, 53793, 60197, 59107, 55034, 50809, 66465, 51093, 50809, 50799, 50619, 55034, 50800, 76017, 66465, 51251, 50795, 59213, 50795, 56577, 66139, 66465, 51357, 54745, 53258, 60232, 66465, 51357, 52628, 53258, 51091, 76017, 66465, 51251, 60010, 66465, 51357, 59474, 66465, 51357, 52329, 76017, 74821, 51251, 50795, 59213, 50795, 56577, 64977, 74821, 51113, 57766, 74821, 51113, 52359, 76017, 74821, 51251, 57775, 55034, 50809, 74821, 51113, 59079, 52780, 50809, 74821, 51113, 52444, 53258, 64096, 50809, 74821, 56577, 50795, 54708, 65213, 74821, 51113, 58344, 74821, 51113, 52510, 50619, 52780, 50809, 74821, 65269, 51251, 59830, 53258, 50809, 65269, 51600, 53401, 52780, 59787, 65269, 51600, 59248, 53258, 52555, 50619, 53020, 50795, 66465, 51182, 50809, 51088, 50795, 57853, 50795, 56511, 64751, 74611, 51107, 57637, 74611, 51107, 52485, 51951, 50795, 74611, 69401, 51699, 59831, 66465, 51357, 59107, 66465, 74611, 50799, 53058, 50800, 66465, 51093, 50809, 54610, 50795, 53410, 66139, 51301, 50809, 51088, 54745, 52130, 50807, 50418, 51301, 50809, 51088, 52628, 51301, 50809, 66465, 51299, 60010, 66465, 51093, 59474, 66465, 51093, 52329, 66465, 51093, 50809, 51299, 50795, 64884, 50795, 54610, 64977, 51093, 50809, 51266, 54056, 55034, 59545, 50619, 51093, 50809, 51266, 52359, 50619, 52780, 50800, 51093, 50809, 51266, 50809, 51299, 57775, 65269, 51093, 53307, 52142, 58480, 65269, 51093, 52444, 51951, 51091, 66465, 74611, 59213, 50795, 56577, 65213, 74611, 51107, 58344, 74611, 51107, 52510, 74611, 69401, 51251, 59830, 66465, 51357, 59787, 66465, 51357, 52555, 51301, 50809, 65269, 51251, 50795, 56577, 50795, 54708, 64751, 65269, 51107, 54139, 53058, 57924, 65269, 51107, 52485, 51951, 50800, 51093, 50809, 51266, 50809, 51299, 50795, 54610, 50795, 53410, 61393, 50619, 50458, 50619, 51301, 50809, 51088, 53793, 52130, 59342, 50619, 51301, 50809, 51088, 57747, 50619, 50799, 50619, 51967, 64096, 50809, 66465, 52065, 50795, 60842, 50795, 61405, 66139, 66465, 51107, 59748, 66465, 51107, 52628, 52994, 50809, 51299, 50809, 66465, 51299, 50795, 54610, 50795, 53410, 60010, 52130, 50809, 66465, 51093, 59474, 52064, 50809, 66465, 51266, 52329, 53122, 50795, 66465, 69401, 51251, 50795, 56577, 50795, 54708, 64977, 76017, 51088, 57766, 76017, 51088, 52359, 51967, 50809, 51299, 50809, 74821, 51251, 50795, 59213, 50795, 56577, 57775, 52064, 50809, 74821, 51113, 53307, 53122, 59079, 74821, 51093, 58291, 52521, 52444, 50619, 52682, 50807, 53883, 50807, 53883, 50807, 66465, 74611, 51251, 50807, 57853, 50807, 56511, 68647, 52203, 50809, 53958, 50809, 66465, 51357, 58344, 52614, 50809, 52900, 50809, 65269, 51093, 52510, 53958, 50809, 53767, 50809, 74611, 51107, 57993, 52614, 50809, 52900, 50809, 65269, 51093, 59787, 52203, 50809, 53958, 50809, 66465, 51357, 52555, 53839, 50809, 52614, 50809, 52601, 50807, 52601, 50807, 74821, 51113, 63602, 52614, 50809, 52900, 50809, 65269, 51093, 57637, 53958, 50809, 53767, 50809, 74611, 51107, 52485, 52900, 50809, 56940, 50809, 51093, 50809, 51266, 58839, 53958, 50809, 53767, 50809, 74611, 51107, 59107, 52614, 50809, 52900, 50809, 65269, 51093, 50809, 50799, 50619, 52682, 50807, 52203, 50795, 53958, 50795, 51946, 50795, 51946, 50795, 66465, 74611, 57853, 50795, 56511, 66139, 74611, 51107, 59748, 74611, 51107, 52628, 66465, 74611, 51088, 60010, 74611, 51107, 59474, 74611, 51107, 52329, 53020, 50807, 66465, 74611, 51088, 50795, 57853, 50795, 56511 ]
[ 0, 250, 20902, 3495, 2214, 4246, 21979, 8669, 6, 23338, 33518, 1264, 6, 2382, 3459, 8669, 6, 8, 21072, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 4, 590, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 83, 538, 8, 22848, 10, 33215, 16739, 9, 1918, 1176, 406, 6, 381, 6, 211, 6, 83, 6, 8, 211, 4, 20, 33928, 34879, 8, 11653, 23338, 293, 146, 24, 41, 5631, 3618, 1349, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50796, 61627, 50630, 51444, 55247, 53805, 50915, 61894, 51142, 53092, 52821, 50848, 51210, 50935, 51328, 50417, 51078, 51051, 50944, 51470, 57761, 51254, 65125, 50423, 50998, 51051, 50868, 51365, 50935, 53770, 50960, 51277, 66397, 50903, 76978, 51078, 51006, 50868, 65948, 50998, 51212, 50935, 60663, 72212, 50944, 52518, 50438, 51078, 50873, 51076, 67917, 69151, 50960, 60366, 72045, 51076, 51576, 50868, 71106, 51078, 51178, 51007, 68465, 50960, 51824, 64412, 50903, 59835, 51311, 51524, 65125, 50456, 51078, 66362, 73316, 50960, 51123, 74948, 61894, 51142, 51076, 51110, 50848, 51210, 51840, 51328, 50417, 51078, 51051, 50944, 51470, 57761, 51254, 65125, 50423, 50998, 51051, 51076, 51043, 50868, 51365, 51840, 53770, 50960, 51277, 66397, 50903, 54889, 51078, 51006, 50868, 65948, 51076, 50978, 51840, 60663, 50998, 51051, 50944, 52518, 50438, 51076, 51056, 51311, 50889, 52548, 69151, 71539, 50848, 72045, 51078, 64111, 71106, 50960, 51824, 52548, 68465, 51067, 51400, 51131, 50943, 64412, 50903, 58759, 51078, 52034, 65125, 50456, 51311, 51524, 52548, 73316, 50960, 51123, 74948, 73934, 51470, 51076, 51178, 51207, 53259, 50848, 51210, 51439, 51328, 50417, 50929, 51824, 50847, 51470, 57761, 51376, 51042, 75431, 51076, 51233, 50848, 51365, 51439, 53770, 51311, 53680, 50303, 50933, 50903, 76978, 50929, 54558, 50311, 65948, 51076, 50987, 50960, 52347, 50323, 60663, 51311, 52063, 50848, 52518, 50438, 51032, 51177, 51649, 69151, 50929, 51824, 51042, 72045, 50960, 67742, 52059, 50447, 51032, 51177, 51649, 68465, 51311, 60025, 51008, 50903, 59835, 50929, 51824, 50848, 51753, 50456, 51032, 50977, 51649, 73316, 67293, 51042, 51123, 73934, 51470, 51067, 51178, 50848, 51210, 52548, 51328, 50417, 50929, 51824, 50847, 51470, 57761, 51376, 51042, 75431, 51067, 67083, 51365, 52548, 53770, 51311, 53680, 50303, 50933, 50903, 76978, 50929, 54558, 50311, 65948, 51067, 50987, 50960, 52347, 50327, 51174, 50435, 51311, 52063, 50848, 52518, 50438, 51067, 51177, 71888, 52548, 69151, 50929, 51824, 51042, 72045, 50960, 67742, 52034, 50447, 51067, 51177, 52548, 68465, 51311, 51074, 52028, 50943, 64957, 50903, 59835, 50929, 51824, 51042, 72492, 51067, 50977, 52548, 73316, 67293, 69637, 75961, 51470, 51316, 51178, 51574, 51077, 50868, 51210, 51649, 51328, 50417, 50947, 51824, 50850, 78906, 50998, 51376, 51017, 75431, 51316, 51212, 50868, 51365, 51649, 53770, 51317, 53680, 50305, 50933, 50903, 76978, 50947, 77712, 65948, 51316, 50987, 50998, 52347, 50325, 51174, 50435, 51317, 52063, 50868, 52518, 50438, 51076, 51177, 51444, 51003, 51439, 69151, 50947, 51824, 51017, 72045, 50998, 64111, 52034, 50447, 51076, 51177, 51439, 68465, 79208, 53805, 50943, 67071, 50903, 59835, 50947, 51824, 51017, 72492, 51076, 50977, 51439, 73316, 63045, 74948, 54458, 51760, 50897, 51444, 50943, 57724, 50944, 51309, 50850, 51709, 50420, 51760, 50854, 51078, 51051, 50947, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 50944, 51423, 50426, 51760, 50865, 52012, 50981, 50848, 51642, 50850, 51806, 50432, 51971, 50808, 51078, 50984, 79504, 51067, 50933, 50944, 51166, 50903, 55643, 58816, 50436, 51760, 58020, 75548, 69158, 74088, 50439, 51444, 51056, 50444, 51760, 60352, 50912, 51067, 50907, 51078, 50933, 50944, 59355, 57091, 50850, 78814, 79063, 50944, 51337, 50451, 51760, 50925, 52012, 58667, 52678, 50840, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 52678, 50917, 66189, 75016, 60533, 51109, 57724, 50944, 51309, 50850, 51709, 50419, 51760, 54507, 51078, 51051, 50947, 51008, 51067, 51142, 50848, 51432, 50903, 59993, 51760, 63867, 50944, 51423, 50426, 52012, 50981, 50848, 51642, 50850, 51806, 50432, 52678, 50854, 51078, 50984, 79504, 51067, 50933, 50944, 51166, 50903, 55643, 51992, 51215, 50848, 53945, 51444, 60871, 51380, 69158, 74088, 50443, 52678, 52597, 63183, 51067, 50907, 51078, 50933, 50944, 59355, 61334, 51971, 53658, 50850, 78814, 79063, 50944, 51337, 50451, 53805, 51003, 50453, 51760, 54424, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 51760, 50938, 66189, 75016, 57342, 50978, 50944, 51309, 50935, 51709, 50415, 53092, 51056, 50419, 51760, 54402, 51078, 51051, 51076, 51008, 51067, 51142, 50848, 51432, 50903, 59993, 51760, 51095, 50423, 50944, 51423, 50426, 68643, 51312, 50848, 51642, 50935, 51806, 50432, 51971, 50800, 51078, 50984, 51076, 50933, 51067, 50933, 50944, 51166, 50903, 55643, 50848, 53945, 53092, 51312, 75548, 69158, 50935, 51337, 50439, 51971, 60835, 51078, 50933, 51076, 51142, 51067, 51210, 50944, 59355, 63693, 51760, 54417, 77201, 50448, 51760, 52596, 68643, 51312, 79063, 50944, 51337, 50456, 52678, 50855, 51078, 51210, 51076, 50933, 51067, 51142, 50848, 51074, 50903, 57490, 52678, 51060, 66189, 50935, 51123, 50799, 53092, 50915, 57724, 50944, 51309, 50935, 51709, 50420, 51992, 50809, 51078, 51051, 51076, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 50944, 51423, 50424, 51992, 51631, 68643, 60871, 51642, 50935, 51806, 50432, 52678, 50855, 51078, 50984, 51076, 50933, 51067, 50933, 50944, 51166, 50903, 55643, 52678, 50967, 50848, 53945, 51311, 51003, 75548, 69158, 50935, 51337, 50444, 51078, 50933, 51076, 51142, 51067, 51210, 50944, 59355, 61334, 51971, 51159, 50447, 77201, 50450, 51131, 51157, 79063, 50944, 51337, 50456, 51078, 51210, 51076, 50933, 51067, 51142, 50848, 51074, 50903, 62309, 51760, 54093, 66189, 50935, 51123, 61108, 51162, 57724, 50847, 51309, 50935, 51709, 50420, 50929, 51051, 51076, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 66329, 50426, 51444, 51003, 50848, 51642, 50935, 51806, 50432, 71258, 51076, 50933, 51067, 50933, 50847, 51166, 50903, 55643, 50848, 53945, 51992, 51157, 51207, 51159, 75548, 63955, 50935, 51337, 50444, 65423, 51076, 51142, 51067, 51210, 50847, 59355, 57091, 77201, 50450, 52678, 51157, 52028, 51056, 79063, 71032, 50456, 50929, 51210, 51076, 50933, 51067, 51142, 50848, 51074, 50903, 57490, 57578, 50935, 51123, 76139, 50807, 51574, 50914, 71988, 50868, 51309, 50847, 51709, 50850, 51709, 50420, 50998, 51051, 50947, 51008, 51316, 51142, 51017, 51432, 50903, 56037, 71359, 50426, 51760, 72067, 51642, 50850, 51806, 50847, 51709, 50427, 51444, 51177, 50429, 52840, 54259, 50998, 51365, 51316, 50933, 50947, 51006, 53805, 55501, 51166, 50903, 55643, 51760, 51157, 51017, 53945, 75548, 69158, 74088, 50439, 51444, 51417, 50444, 51078, 50933, 50947, 51142, 51067, 51210, 50944, 59355, 57091, 50850, 78814, 52012, 51412, 79063, 50944, 51337, 50456, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 66189, 75016, 68093, 50812, 51444, 50943, 57724, 50944, 51309, 50850, 51709, 50418, 51760, 65739, 51078, 51051, 50947, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 50944, 51423, 50426, 51760, 50865, 52012, 50981, 50848, 51642, 50850, 51806, 50432, 51971, 50840, 51078, 50984, 79504, 51067, 50933, 50944, 51166, 50903, 55643, 58816, 50436, 51971, 73320, 75548, 69158, 74088, 50439, 51444, 51056, 50444, 51760, 60352, 50912, 51067, 50907, 51078, 50933, 50944, 59355, 57091, 51760, 54954, 78814, 79063, 50944, 51337, 50451, 52012, 58667, 52678, 50840, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 52678, 50917, 66189, 75016, 60533, 51109, 57724, 50944, 51309, 50850, 51709, 50419, 51760, 54507 ]
[ 0, 250, 765, 15855, 2125, 11, 230, 538, 6, 4246, 10, 12280, 3275, 1725, 3109, 8, 32017, 6, 7630, 14805, 10, 32076, 8, 15352, 30054, 5466, 20455, 9, 822, 930, 4, 590, 10, 231, 73, 398, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 24, 3136, 149, 10, 33215, 16739, 9, 272, 6, 211, 6, 3676, 6, 1918, 406, 6, 8, 211, 6, 2351, 10, 1109, 18948, 8, 12298, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51540, 50630, 56126, 51803, 52550, 51878, 52740, 51878, 52049, 52168, 50438, 53296, 51576, 52573, 78814, 56126, 51295, 53249, 51878, 52550, 51878, 52242, 51749, 50468, 56326, 50901, 50474, 60060, 50943, 53029, 51484, 53296, 51484, 52443, 51775, 51540, 61557, 51486, 53571, 51803, 53249, 51381, 51975, 51742, 50432, 52550, 60465, 53249, 52335, 50450, 61557, 51115, 53571, 51742, 52242, 51679, 50468, 60588, 50873, 52443, 51006, 50474, 66105, 50943, 51975, 51775, 51540, 60588, 51183, 53296, 51448, 52573, 51448, 52443, 79218, 61557, 50981, 53571, 52188, 52242, 52188, 50450, 60060, 51310, 52550, 51749, 52740, 51749, 52049, 51679, 50468, 56326, 50845, 52292, 51006, 50474, 60060, 51003, 53571, 52335, 52049, 51775, 51540, 61557, 52821, 53249, 51679, 52292, 55844, 50432, 52550, 56480, 53249, 52335, 50450, 53571, 51742, 51540, 50630, 56126, 51803, 52550, 51448, 52740, 51448, 52049, 52015, 50438, 53296, 52188, 52573, 52188, 50450, 56126, 51115, 53249, 51749, 52550, 51749, 52242, 51749, 50468, 56326, 50873, 50474, 60060, 50914, 53029, 51484, 53296, 51484, 52443, 51484, 51540, 61557, 51486, 53571, 51742, 53249, 51381, 51975, 52015, 50432, 52550, 56480, 53249, 52062, 50450, 61557, 51295, 53571, 51452, 52242, 51381, 50468, 60588, 50873, 52443, 51058, 50474, 66105, 50943, 51975, 51775, 51540, 60588, 51047, 53296, 51749, 52573, 51749, 52443, 52263, 50438, 61557, 50981, 53571, 52188, 52242, 78814, 60060, 51477, 52550, 51749, 52740, 51749, 52049, 51679, 50468, 56326, 50892, 52292, 51174, 50474, 60060, 50981, 53571, 53142, 52049, 51484, 51540, 61557, 53651, 53249, 51679, 52292, 54249, 50432, 52550, 71113, 53249, 53142, 50450, 53571, 51742, 50474, 60588, 51377, 51540, 66105, 51675, 52550, 53478, 52242, 51803, 51975, 51803, 50432, 52573, 56480, 52740, 51775, 50450, 66105, 51295, 52292, 51803, 52242, 51742, 52342, 51391, 50468, 60588, 50845, 52416, 51006, 50474, 61557, 51253, 52044, 51775, 51540, 60588, 53651, 52550, 52826, 51975, 53454, 52416, 54143, 50438, 53029, 52151, 50450, 55411, 51803, 50474, 60588, 50915, 52416, 51484, 51540, 60060, 51318, 52740, 51803, 52049, 52826, 51975, 51961, 50432, 61557, 50901, 52044, 60465, 60588, 51056, 52416, 79771, 60588, 51115, 52550, 52783, 52416, 51381, 50468, 61557, 50892, 52044, 51254, 50474, 60060, 50981, 51975, 51576, 51540, 56326, 54143, 53029, 53413, 52049, 51391, 52049, 53082, 52797, 53233, 50432, 52292, 56480, 52740, 75756, 52573, 51749, 50474, 60060, 51003, 52550, 51484, 51975, 51775, 51540, 61557, 51295, 53571, 52263, 52292, 51803, 52242, 51961, 50432, 60588, 50901, 52443, 60676, 61557, 51003, 53571, 51576, 52242, 75756, 60060, 51145, 52550, 51627, 52740, 51742, 52049, 52263, 50474, 56126, 51097, 52550, 51484, 52242, 51484, 51540, 56326, 51318, 53296, 51749, 52292, 51452, 52443, 51542, 50432, 60060, 50849, 51975, 56480, 61557, 50914, 53296, 51576, 52044, 51775, 50450, 60060, 51047, 52550, 51627, 52242, 51562, 51975, 51627, 50474, 56126, 50981, 52550, 51576, 52242, 52188, 51540, 56326, 51183, 52573, 51749, 52292, 52015, 52443, 51535, 50438, 56126, 50915, 52573, 51484, 52242, 75756, 62611, 51310, 53029, 52263, 52573, 51803, 52049, 51878, 50468, 55775, 50892, 50474, 62611, 50981, 53029, 52015, 52049, 51576, 51540, 56126, 53380, 55411, 51803, 52740, 52919, 51975, 53487, 50432, 52550, 60465, 53029, 52335, 50450, 55411, 51742, 50474, 60588, 51112, 51540, 66105, 51591, 52550, 53478, 52242, 51591, 51975, 52015, 50432, 52573, 60676, 52740, 79771, 66105, 51295, 52292, 52015, 52242, 51742, 52342, 51419, 50468, 60588, 50845, 52416, 51006, 50474, 61557, 51109, 52044, 51576, 51540, 60588, 53380, 52550, 53849, 51975, 52644, 52416, 54143, 50438, 53029, 52151, 50450, 55411, 52015, 50474, 60588, 50915, 52416, 51484, 51540, 60060, 51477, 52740, 52015, 52049, 53478, 51975, 51961, 50432, 61557, 50901, 52044, 60465, 60588, 51159, 52416, 51775, 50450, 60588, 51295, 52550, 52168, 52416, 51542, 50468, 61557, 50905, 52044, 51174, 50474, 60060, 50995, 51975, 51576, 51540, 56326, 54143, 53029, 53082, 52049, 51134, 52049, 53082, 52797, 54249, 50432, 52292, 56480, 52740, 75756, 52573, 51749, 50474, 60060, 50943, 52550, 51484, 51975, 51775, 51540, 61557, 51189, 53571, 51878, 52292, 51742, 52242, 51961, 50432, 60588, 50901, 52443, 56480, 61557, 50915, 53571, 51484, 52242, 78814, 60060, 51145, 52550, 51535, 52740, 51742, 52049, 51878, 50474, 56126, 51097, 52550, 51576, 52242, 51775, 51540, 56326, 51318, 53296, 51627, 52292, 51790, 52443, 51542, 50432, 60060, 50849, 51975, 56480, 61557, 50889, 53296, 51484, 52044, 79771, 60060, 51047, 52550, 51749, 52242, 51562, 51975, 51627, 50474, 56126, 50995, 52550, 51576, 52242, 52188, 51540, 56326, 51145, 52573, 51627, 52292, 52015, 52443, 51749, 50438, 56126, 50915, 52573, 51484, 52242, 78814, 62611, 51318, 53029, 51878, 52573, 51803, 52049, 51878, 50468, 55775, 50845, 50474, 62611, 51003, 53029, 55482, 52049, 51775, 51540, 56126, 52821, 52550, 53478, 52740, 52919, 51975, 53753, 50450, 55411, 51452, 51540, 50630, 56126, 51742, 52550, 51749, 52740, 51749, 52049, 52168, 50438, 53296, 51775, 52573, 51775, 50450, 56126, 51115, 53249, 51627, 52550, 51627, 52242, 51749, 50468, 56326, 50901, 50474, 60060, 50943, 53029, 51484, 53296, 51484, 52443, 51775, 51540, 61557, 51486, 53571, 51803, 53249, 51542, 51975, 51680, 50432, 52550, 60465, 53249, 52062, 50450, 61557, 51115, 53571, 51452, 52242, 51679, 50468, 60588, 50849, 52443, 51058, 50474, 66105, 50943, 51975, 51484, 51540, 60588, 51047, 53296, 51749, 52573, 51749, 52443, 51878, 50438, 61557, 50981, 53571, 52188, 52242, 75756, 60060, 51318, 52550, 51749, 52740, 51749, 52049, 51381, 50468, 56326, 50905, 52292, 51174, 50474, 60060, 50981, 53571, 53142, 52049, 51480, 51540, 61557, 52821, 53249, 51679, 52292, 55844, 50432, 52550, 56480, 53249, 54171, 50450, 53571, 51742, 51540, 50630, 56126, 51803, 52550, 51749, 52740, 51749, 52049, 52015, 50438, 53296, 51484, 52573, 75756, 56126, 51115, 53249, 51878, 52550, 51878, 52242, 51749, 50468, 56326, 50901, 50474, 60060, 50943, 53029, 51484, 53296, 51484, 52443, 51775, 51540, 61557, 51538, 53571, 51452, 53249, 51679, 51975, 52015, 50432, 52550, 60676, 53249, 52062, 50450, 61557, 51295, 53571, 51742, 52242, 51381, 50468, 60588, 50849, 52443, 51006, 50474, 66105, 51003, 51975, 51775, 51540, 60588, 51145, 53296, 51535, 52573, 51535, 52443, 51878, 50438, 61557, 50981, 53571, 51576, 52242, 51775, 50450, 60060, 51318, 52550, 51749, 52740, 51749, 52049, 51381, 50468, 56326, 50892, 52292, 51254, 50474, 60060, 50915, 53571, 53142, 52049, 51480, 51540, 61557, 53380, 53249, 51679, 52292, 53233, 50432, 52550, 70448, 53249, 53588, 50450, 53571, 51742, 50474, 60588, 51346, 51540, 66105, 51675, 52550, 53478, 52242, 51591, 51975, 51742, 50432, 52573, 60465, 52740, 51775, 50450, 66105, 51218, 52292, 51803, 52242, 51452, 52342, 51391, 50468, 60588, 50845, 52416, 51174, 50474, 61557, 51109, 52044, 51576, 51540, 60588, 53651, 52550, 53849, 51975, 52644, 52416, 53233, 50438, 53029, 52151, 50450, 55411, 51742, 50474, 60588, 51003, 52416, 51480, 51540, 60060, 51295, 52740, 52015, 52049, 52826, 51975, 51961, 50432, 61557, 50901, 52044, 60465, 60588, 51159, 52416, 75756, 60588, 51295, 52550, 51680, 52416, 51381, 50468, 61557, 50905, 52044, 51006 ]
[ 0, 250, 182, 1769, 12, 20764, 15855, 2125, 6, 42, 765, 2214, 16, 3820, 19, 10, 1472, 9, 9066, 9733, 6, 6683, 14756, 13, 10, 822, 19834, 4, 20, 6755, 12547, 6, 32909, 6, 3551, 139, 6, 17035, 873, 2401, 6, 8, 2342, 4467, 283, 561, 7, 1045, 10, 5386, 8, 814, 12, 21330, 15229, 11, 12608, 538, 6, 19, 10, 881, 4327, 9, 5, 33215, 16739, 2060, 401, 6, 12608, 6, 230, 119, 6, 12608, 6, 8, 211, 119, 406, 428, 245, 73, 347, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50639, 51375, 50867, 51629, 50809, 55403, 50844, 57980, 50827, 51431, 50835, 52264, 50855, 53542, 50827, 55515, 53988, 53213, 51431, 50820, 51641, 60776, 51093, 50813, 51395, 50809, 52480, 58116, 51641, 63339, 51093, 50857, 51395, 50809, 52480, 51126, 51431, 72375, 54959, 53450, 51093, 50813, 51629, 50809, 58240, 50827, 51431, 50834, 52264, 50809, 54461, 50942, 53121, 65469, 51673, 51126, 54051, 72925, 51335, 52119, 51395, 50813, 51394, 50809, 52336, 50857, 51641, 58406, 52480, 50928, 53809, 75753, 55403, 50844, 57980, 50827, 52629, 50809, 52264, 50818, 53542, 50942, 55515, 55395, 51629, 50813, 51304, 59586, 53809, 51022, 52480, 51851, 51641, 50809, 52336, 54400, 51395, 50867, 51394, 59787, 53121, 66429, 54959, 50844, 58240, 50827, 51431, 50813, 52264, 50809, 54461, 53597, 50588, 53798, 51093, 50857, 51629, 50809, 54051, 51126, 51673, 51297, 50455, 51641, 50855, 52336, 54583, 51394, 50809, 51395, 50810, 52480, 51126, 53809, 51123, 50460, 53542, 73562, 55403, 50844, 57980, 50827, 52629, 50809, 52264, 50809, 55515, 50859, 50799, 51629, 50813, 51304, 56025, 54635, 50864, 54051, 63339, 51335, 57615, 54959, 50844, 51431, 50813, 52264, 50800, 54461, 50854, 53121, 54818, 51093, 50857, 51629, 50809, 58240, 50827, 54051, 51022, 51673, 75753, 51431, 51127, 52264, 50918, 53542, 50854, 55515, 55395, 51093, 51397, 51629, 50918, 55403, 62090, 57980, 50827, 54051, 51314, 51673, 52440, 50449, 54461, 50854, 53121, 50383, 53692, 53798, 54959, 50844, 58240, 50827, 50799, 55403, 50844, 53542, 50942, 55515, 67694, 57980, 50933, 50419, 51093, 53299, 51641, 50809, 51431, 58592, 51395, 58741, 52480, 50908, 51641, 55754, 51093, 50863, 51431, 61599, 51395, 50809, 52480, 51297, 50425, 51093, 50857, 53121, 50383, 53692, 51973, 79432, 54959, 50844, 58240, 50827, 51431, 50834, 52264, 50809, 54461, 60950, 54051, 50886, 51673, 53962, 51395, 50813, 72552, 51641, 50818, 52336, 57201, 52480, 51258, 53809, 75753, 55403, 50844, 53542, 54181, 51629, 50813, 51304, 50800, 57980, 50827, 52629, 50855, 52264, 50841, 55515, 71647, 54051, 50864, 54635, 51126, 50443, 51394, 52510, 51395, 50864, 52336, 50862, 51641, 58500, 52480, 51128, 53809, 51126, 50449, 51093, 50857, 51629, 50809, 54959, 50844, 58240, 50827, 54461, 53140, 54051, 51128, 51673, 51128, 51431, 50855, 52264, 50857, 53121, 66280, 51335, 59730, 51395, 50813, 51394, 50809, 51641, 59593, 52480, 51004, 53809, 51128, 52336, 59700, 51629, 50857, 51304, 50800, 55403, 50844, 57980, 50827, 52629, 50812, 53542, 50942, 55515, 50887, 50799, 54635, 50864, 54051, 50829, 52264, 58067, 51093, 50857, 51629, 50809, 54959, 50844, 58240, 50827, 53121, 50383, 53692, 51973, 54051, 50827, 51673, 51126, 51431, 50809, 52264, 50808, 54461, 63443, 55403, 50844, 57980, 52788, 79629, 51629, 50918, 54051, 51318, 51673, 53280, 51431, 50983, 52264, 50983, 53542, 50844, 55515, 66429, 54959, 50844, 58240, 52989, 54461, 50854, 53121, 50383, 53692, 56771, 55403, 50844, 57980, 50933, 50799, 55515, 67694, 53542, 54351, 51488, 50813, 51201, 50809, 52061, 50857, 51509, 57240, 51509, 50813, 52061, 54951, 51488, 50834, 51201, 50809, 52604, 51129, 52171, 58964, 51488, 50813, 54959, 50844, 58240, 50827, 52604, 50904, 53809, 50864, 54461, 50810, 53121, 54818, 51394, 50809, 52061, 50864, 52336, 50376, 53692, 52119, 51201, 50867, 51304, 50809, 52171, 51126, 54635, 50971, 52629, 50855, 51509, 63120, 55403, 50844, 57980, 62551, 53809, 50907, 53542, 50942, 55515, 55395, 51488, 50813, 51394, 50809, 52604, 50971, 52061, 50864, 52336, 54305, 51093, 50857, 51201, 50809, 52171, 50864, 51673, 50971, 51431, 50864, 51509, 66185, 54959, 64913, 51488, 50809, 58240, 50827, 52604, 50941, 51827, 51000, 51723, 50864, 52061, 50857, 54461, 50844, 53121, 50383, 53692, 52116, 51165, 62802, 51201, 50836, 52171, 50904, 51673, 50891, 51431, 50886, 51509, 54199, 51093, 63298, 55403, 65922, 72552, 57980, 50827, 52604, 50941, 53809, 50971, 52061, 50857, 52336, 50855, 53542, 50854, 55515, 50887, 50799, 51488, 63315, 52171, 50971, 51673, 50971, 51509, 50864, 51431, 55772, 51093, 50886, 51201, 58067, 54959, 50857, 52604, 51126, 51827, 51004, 54461, 50854, 53121, 50383, 53692, 53537, 51165, 50867, 51488, 50809, 58240, 50827, 51723, 50891, 52061, 62627, 70708, 51673, 50982, 52171, 50941, 51431, 50867, 51509, 54860, 51093, 65219, 55403, 50844, 55515, 55395, 51488, 51397, 51394, 50918, 57980, 50827, 52604, 51080, 53809, 51080, 52061, 51291, 52336, 51417, 53542, 76078, 54959, 50857, 53121, 50383, 53692, 52116, 58240, 50827, 54461, 64098, 55403, 50844, 50799, 57980, 50827, 53542, 50854, 55515, 67237, 51093, 50820, 51431, 50855, 51641, 53420, 51395, 50818, 52480, 50825, 51673, 58409, 51093, 50835, 51395, 50813, 52480, 51000, 51641, 63339, 51093, 60811, 79432, 54959, 50857, 58240, 50827, 51673, 51126, 54051, 50864, 51431, 51000, 53121, 50383, 53692, 51973, 52264, 50809, 54461, 66113, 51395, 50813, 51394, 50836, 52480, 51000, 53809, 50941, 51641, 52927, 52336, 62439, 57980, 62551, 51093, 50857, 51629, 50809, 55403, 50844, 54051, 50941, 51673, 50837, 52264, 50809, 55515, 55395, 51431, 50857, 53542, 75636, 51165, 50857, 51395, 50809, 51827, 50870, 52480, 50904, 51723, 54305, 51641, 65807, 58240, 65311, 51375, 50813, 51093, 50809, 54959, 50844, 52251, 50891, 51673, 50904, 51431, 50857, 52211, 50867, 54461, 50854, 53121, 50383, 53692, 58403, 51165, 50857, 69926, 52480, 50864, 51827, 50908, 51723, 50857, 51641, 60870, 65203, 79432, 55403, 50844, 57980, 50827, 51673, 50971, 54051, 51126, 52264, 50809, 51431, 50837, 53542, 50854, 55515, 50887, 53069, 51827, 50891, 52480, 51000, 51723, 50904, 51641, 53299, 51165, 50863, 51395, 59474, 51335, 57615, 54959, 50844, 58240, 50827, 52251, 51126, 51673, 50941, 52211, 50813, 51431, 50855, 54461, 50854, 53121, 54818, 51375, 50813, 51093, 58607, 51395, 50855, 51827, 50908, 52480, 51000, 51723, 50857, 51641, 54854, 51165, 61360, 51629, 50918, 55403, 50844, 57980, 50827, 54051, 51244, 51673, 51080, 51431, 51077, 52264, 50918, 55515, 55395, 51093, 51397, 53542, 65261, 53121, 53409, 54959, 50844, 58240, 50827, 54461, 50378, 53692, 56628, 51335, 50823, 50799, 55724, 52071, 53121, 50884, 77722, 51112, 50778, 50284, 51112, 50778, 50285, 51112, 50778, 50289, 51112, 50415, 56815, 52062, 55120, 50825, 54461, 52069, 50416, 53121, 69736, 53121, 53576, 51093, 50813, 51395, 50809, 52480, 50870, 51673, 50971, 51431, 50855, 51641, 50834, 53121, 63630, 52314, 73435, 51395, 53467, 51165, 50982, 51093, 50813, 52480, 50971, 51641, 50904, 53121, 63501, 53121, 62239, 51629, 51620, 51093, 50813, 54051, 50904, 51673, 50908, 51431, 50857, 52264, 50840, 53121, 56171, 52314, 51129, 53121, 56710, 53121, 63519, 53121, 56999, 72552, 52480, 60838, 51395, 50813, 53809, 50864, 51641, 50834, 52336, 50840, 53121, 61251, 53121, 55486, 53121, 63061, 53121, 59653, 51304, 50809, 54635, 50941, 54051, 50971, 53121, 53418, 51629, 50810, 52629, 50862, 52264, 62255, 53121, 53988, 50817, 53012, 58772, 51394, 51907, 52267, 51395, 50857, 52480, 50864, 53809, 50864, 51641, 50862, 52336, 50840, 64614, 50817, 53526, 50817, 57471, 58977, 51629, 50809, 51673, 51297, 54051, 51000, 51431, 50867, 52264, 52467, 52568, 51093, 50857, 57688, 50817, 53061, 50817, 55350, 57859, 72552, 52480, 50864, 53809, 50886, 51641 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 10, 2216, 316, 73, 1549, 86, 6543, 6, 1931, 21683, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 3459, 8669, 6, 13305, 6, 3152, 6757, 6, 2370, 21305, 6, 8, 36075, 8669, 35810, 561, 7, 1045, 41, 11653, 2369, 18795, 4, 2285, 63, 2635, 20889, 6, 5, 2125, 11498, 10, 1472, 9, 556, 4298, 6, 10346, 30, 5, 16331, 33215, 16739, 9, 381, 6, 83, 6, 163, 406, 6, 381, 6, 8, 83, 11, 5, 762, 9, 381, 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 ]	[ 61791, 50438, 51288, 54790, 52529, 58726, 52294, 52555, 52874, 54139, 52874, 52485, 52874, 53793, 52375, 50830, 52177, 52294, 52628, 52874, 53467, 52874, 52329, 52874, 54056, 52375, 57907, 52294, 50809, 51350, 50809, 51781, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 51232, 50809, 51512, 50809, 79879, 51489, 50809, 52461, 50809, 55209, 50809, 55981, 50809, 51914, 50809, 51953, 50809, 52333, 52444, 51622, 50809, 51350, 50809, 51350, 50967, 51781, 50809, 51781, 50967, 51630, 50809, 52395, 50809, 55320, 50809, 51232, 50809, 51232, 50967, 51512, 50809, 51512, 50967, 79879, 51489, 50809, 52461, 50809, 55209, 50809, 55209, 50967, 55981, 50809, 55981, 50967, 51914, 50809, 51953, 50809, 52333, 54790, 51634, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 52510, 51288, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 53401, 73650, 51350, 50809, 51350, 50967, 51781, 50809, 51781, 50967, 51630, 50809, 52395, 50809, 55320, 50809, 51232, 50809, 51232, 50967, 51512, 50809, 51512, 50967, 79879, 51489, 50809, 52461, 50809, 55209, 50809, 55209, 50967, 55981, 50809, 55981, 50967, 51914, 50809, 51953, 50809, 52333, 52555, 51529, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 54139, 51344, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 58267, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 52485, 51219, 50967, 51350, 50809, 51350, 50967, 51781, 50809, 51781, 50967, 51630, 50830, 52395, 50830, 55320, 50830, 65049, 50830, 51232, 50809, 51232, 50967, 51512, 50809, 51512, 50967, 51275, 50830, 79318, 52461, 50830, 55209, 50809, 55209, 50967, 55981, 50809, 55981, 50967, 51914, 50830, 51953, 50830, 52333, 50830, 50799, 51630, 50809, 52395, 50809, 55320, 50809, 56588, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 54745, 51350, 50830, 51350, 50967, 51781, 50830, 51781, 50967, 51630, 50830, 52395, 50830, 55320, 50830, 65049, 50830, 51232, 50830, 51232, 50967, 51512, 50830, 51512, 50967, 51275, 50830, 79318, 52461, 50830, 55209, 50830, 55209, 50967, 55981, 50830, 55981, 50967, 51914, 50830, 51953, 50830, 52333, 58218, 51630, 50809, 52395, 50809, 55320, 50809, 58267, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 52329, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 51091, 62724, 51091, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 54372, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 53307, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 67007, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52510, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 51091, 62724, 51091, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 53484, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 54139, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 57814, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 50809, 50799, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 55587, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 53467, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 63395, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 65049, 50809, 62724, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52359, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 50830, 62724, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 53402, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 56334, 50830, 62724, 50830, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 54790, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 54630, 56588, 50830, 62724, 58726, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52555, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 50830, 62724, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 54896, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 58267, 51091, 62724, 51091, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 53793, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 50830, 52177, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52628, 51265, 50967 ]
[ 0, 250, 33928, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 21072, 6, 9590, 6, 8, 24896, 4, 20, 33301, 16, 702, 23, 10, 7212, 20889, 11, 5, 762, 9, 12608, 538, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 163, 428, 406, 6, 12608, 6, 8, 2060, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 2214, 1375, 552, 11844, 6, 2351, 10, 32076, 8, 2365, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 79152, 70354, 56179, 51093, 51073, 51846, 51294, 50986, 51294, 51136, 51294, 50876, 71827, 51294, 50900, 51294, 50956, 51294, 51522, 51294, 50432, 51093, 57253, 55122, 51488, 51073, 51246, 51294, 51317, 51294, 50929, 51294, 51028, 73569, 51294, 51040, 51294, 50956, 51294, 50861, 51294, 51261, 51294, 50450, 51488, 63681, 55416, 51395, 50879, 50986, 51294, 51136, 51294, 51169, 51294, 51001, 60867, 51294, 50956, 51294, 50965, 51294, 51150, 51294, 51540, 51395, 51472, 51001, 51472, 50438, 51846, 51896, 50986, 51896, 51136, 51896, 51176, 51896, 50900, 51896, 50956, 51896, 51522, 51896, 50462, 51395, 51073, 51001, 51073, 50474, 51201, 51073, 51317, 51896, 50970, 51896, 51169, 51896, 50931, 75350, 51896, 50871, 51896, 50965, 51896, 51868, 51896, 51540, 51201, 51472, 50931, 51472, 50438, 51629, 51472, 51504, 51896, 51846, 51896, 51317, 51896, 51147, 51472, 51050, 51896, 51176, 51896, 51040, 51896, 51140, 51896, 50462, 51629, 51073, 51147, 51073, 50474, 51395, 51655, 51846, 51896, 50986, 51896, 51136, 51896, 51176, 51896, 50900, 51896, 50956, 51896, 51001, 51655, 51522, 51896, 51474, 50438, 51846, 51896, 50986, 51896, 51136, 51896, 51176, 51896, 50900, 51896, 50956, 51896, 51522, 51896, 50474, 51629, 51472, 51846, 51896, 50986, 51896, 51136, 51896, 51147, 51472, 51176, 51896, 50900, 51896, 50956, 51896, 51522, 51896, 75196, 51395, 51073, 51001, 69052, 51488, 51472, 51504, 51896, 51131, 51896, 51136, 51896, 51028, 51472, 51050, 51896, 51027, 51896, 50956, 51896, 51140, 51896, 50462, 51093, 64217, 50474, 51165, 51073, 51246, 51896, 51317, 51896, 50906, 73569, 51896, 51040, 51896, 51261, 51896, 51540, 51201, 52392, 50931, 52392, 50438, 53805, 51896, 51504, 51896, 51246, 51896, 51360, 51896, 51050, 51896, 50997, 51896, 52318, 51896, 50462, 51201, 51073, 50931, 51073, 50474, 51629, 51472, 52562, 51896, 51846, 51896, 50986, 51896, 51147, 51472, 51197, 51896, 51176, 51896, 50900, 51896, 51560, 51896, 75196, 51165, 66562, 69052, 51093, 51073, 52562, 51896, 51207, 51896, 51317, 51896, 50876, 51073, 51197, 51896, 51026, 51896, 51040, 51896, 51560, 51896, 50450, 51165, 51472, 50906, 51472, 50474, 51375, 51896, 51846, 51896, 50986, 51896, 51176, 51896, 50900, 51896, 50965, 51896, 51522, 51896, 51474, 50436, 50986, 50918, 50437, 51136, 51413, 50438, 51169, 51417, 51503, 51472, 50900, 51472, 50956, 51472, 50965, 51472, 51522, 51472, 50804, 50884, 51382, 53685, 50804, 79611, 53777, 58668, 53347, 50884, 50474, 53250, 51472, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 53150, 53250, 68761, 51361, 53418, 55343, 51472, 51136, 51896, 50929, 51896, 51316, 51896, 51234, 51896, 50997, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51261, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 55343, 58668, 53347, 50884, 50474, 53777, 51073, 51136, 51896, 51169, 51896, 51549, 51896, 51085, 51896, 50900, 51896, 50956, 51896, 50965, 51896, 51001, 51896, 51150, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53777, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53777, 58668, 53347, 50884, 50474, 53407, 51073, 50970, 51896, 51169, 51896, 51316, 51896, 51360, 51896, 51040, 51896, 50871, 51896, 50965, 51896, 51028, 51896, 51868, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53407, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53863, 51472, 50970, 51896, 51169, 51896, 51316, 51896, 51360, 51896, 51040, 51896, 50871, 51896, 50965, 51896, 51028, 51896, 51868, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53407, 58668, 53347, 50884, 50474, 53777, 51896, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53777, 58668, 53347, 50884, 50474, 53777, 51073, 51136, 51896, 50929, 51896, 51316, 51896, 51234, 51896, 50997, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51261, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 55343, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53777, 51472, 51136, 51896, 50929, 51896, 51316, 51896, 52046, 51896, 51197, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51560, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 55343, 58668, 53347, 50884, 50474, 55343, 51073, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53250, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53250, 58668, 53347, 50884, 50474, 54414, 51073, 50960, 51896, 51169, 51896, 51064, 51896, 51234, 51896, 50997, 51896, 50899, 51896, 50871, 51896, 50965, 51896, 50906, 51896, 51261, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 54414, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53250, 51472, 50960, 51896, 51169, 51896, 51064, 51896, 51234, 51896, 50997, 51896, 50899, 51896, 50871, 51896, 50965, 51896, 50906, 51896, 51261, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 54414, 58668, 53347, 50884, 50474, 54414, 51655, 51136, 51896, 50929, 51896, 51064, 51896, 52046, 51896, 51197, 51896, 50956, 51896, 50861, 51896, 50906, 51896, 51560, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 50929, 51896, 51064, 51896, 52046, 51896, 51197, 51896, 50956, 51896, 50861, 51896, 50906, 51896, 51560, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 54414, 58668, 53347, 50884, 50474, 53250, 51472, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 53150, 53250, 68761, 51361, 53418, 55343, 51472, 51136, 51896, 50929, 51896, 51316, 51896, 51234, 51896, 50997, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51261, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 55343, 58668, 53347, 50884, 50474, 53777, 51073, 51136, 51896, 51169, 51896, 51549, 51896, 51085, 51896, 50900, 51896, 50956, 51896, 50965, 51896, 51001, 51896, 51150, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53777, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53250, 51472, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53777, 58668, 53347, 50884, 50474, 53407, 51073, 50970, 51896, 51169, 51896, 51316, 51896, 51360, 51896, 51040, 51896, 50871, 51896, 50965, 51896, 51028, 51896 ]
[ 0, 1121, 42, 5175, 25771, 2214, 6, 10, 18558, 8, 2236, 1021, 2678, 29, 185, 5, 483, 6, 2800, 30, 21072, 6, 10, 228, 438, 4781, 2088, 6757, 6, 8, 41, 21979, 9590, 4, 590, 10, 1769, 20889, 9, 24646, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 7630, 6568, 10, 1472, 9, 980, 8, 15073, 150, 6780, 15352, 30054, 4785, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 12608, 8, 272, 119, 6, 2351, 10, 19448, 5466, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50796, 50796, 51450, 51003, 51382, 53238, 51003, 51528, 51003, 51302, 53579, 51003, 51450, 51003, 51382, 53579, 51003, 51528, 51003, 51302, 53238, 51003, 51450, 51003, 51382, 53238, 51003, 51528, 51003, 51302, 53238, 51003, 51450, 51003, 51382, 53238, 51003, 50458, 55199, 50952, 51528, 58299, 55199, 56155, 53238, 51003, 51450, 51003, 51382, 53579, 51003, 51528, 51003, 51302, 53238, 51003, 51450, 51003, 51382, 53238, 51003, 50458, 55199, 51033, 50799, 57017, 50975, 52664, 55311, 58299, 57017, 50993, 54295, 50886, 52664, 50993, 55199, 54780, 53238, 51003, 51450, 51003, 51382, 53579, 51003, 50799, 52164, 53983, 51003, 50418, 52164, 65532, 52164, 52921, 52164, 52764, 53238, 51003, 50430, 52164, 59909, 52164, 52691, 52164, 53590, 51003, 50442, 52164, 62077, 52164, 50942, 51382, 53104, 50558, 61174, 51003, 50454, 52164, 63321, 55199, 50849, 55929, 51212, 77433, 50976, 57017, 51379, 52664, 50975, 53165, 51277, 52164, 54366, 58299, 51461, 51391, 77433, 51059, 57017, 51500, 52664, 51066, 55199, 51030, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 58610, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53238, 51003, 56451, 51233, 64034, 50975, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 56858, 53579, 56509, 51560, 51363, 65549, 50993, 54614, 51852, 50798, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 50804, 50942, 51382, 58396, 51003, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 73783, 58299, 51461, 51391, 77433, 51059, 57017, 51379, 54295, 50828, 52664, 50975, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 58610, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53238, 51003, 56451, 51233, 64034, 50975, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 56858, 53238, 51003, 50434, 55199, 59646, 51560, 51363, 65549, 50993, 54614, 51852, 50798, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 52088, 56946, 58332, 55199, 53543, 53238, 51003, 55929, 51212, 77433, 50976, 53165, 51277, 51813, 68796, 58299, 51461, 51391, 77433, 51059, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 53169, 59569, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 51345, 56451, 51233, 64034, 50975, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 50932, 53169, 53888, 53238, 56509, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 54523, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 50450, 52088, 69405, 53238, 51003, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 51277, 51525, 58717, 54788, 58299, 51461, 51391, 77433, 51059, 57017, 51427, 52664, 50993, 53165, 51419, 50804, 75297, 51060, 51068, 71058, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 51813, 60665, 51003, 50446, 53169, 55149, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 51345, 56451, 51233, 64034, 50975, 55199, 50897, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 56858, 53238, 51003, 50434, 55199, 50882, 53169, 55467, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 58396, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 50804, 57006, 52088, 54593, 53238, 51003, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 52063, 51525, 62752, 57564, 58299, 51461, 51391, 77433, 51059, 57017, 51379, 52664, 50976, 53165, 51961, 50804, 75297, 58717, 54788, 56509, 51560, 51212, 65549, 50976, 54614, 51242, 51813, 53834, 51003, 50446, 53169, 58248, 51560, 50981, 65549, 50824, 54614, 56858, 53238, 51003, 50458, 53216, 50879, 56451, 50892, 64034, 50802, 55199, 50812, 54383, 68495, 58299, 51522, 51312, 64034, 51072, 54383, 51199, 53169, 54472, 53579, 51003, 50434, 55199, 51033, 53169, 55467, 51560, 51233, 65549, 50975, 54614, 51309, 53216, 53840, 51003, 50446, 51140, 51391, 59860, 51059, 52842, 51961, 50804, 58332, 52088, 58063, 53579, 51003, 54124, 50910, 55929, 50892, 77433, 50802, 51813, 63388, 51003, 50422, 53169, 52524, 51461, 50892, 77433, 51812, 53238, 51003, 50434, 53169, 54773, 51461, 50892, 77433, 51599, 51003, 50446, 53169, 54356, 51461, 50892, 77433, 51812, 53238, 51003, 50458, 55161, 50827, 55970, 50892, 65549, 50802, 52679, 52727, 52623, 51748, 53169, 58610, 51003, 50422, 53216, 53803, 51560, 50892, 65549, 50802, 52088, 53119, 53238, 51003, 50434, 51813, 56282, 51560, 50892, 65549, 51599, 57197, 51560, 50892, 65549, 50802, 52077, 63011, 53238, 51003, 50458, 51813, 51100, 55929, 51212, 77433, 50976, 53165, 73783, 58299, 51461, 51391, 77433, 51059, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 53169, 53834, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 51100, 56451, 51233, 64034, 50975, 54383, 51337, 53169, 79544, 58299, 51522, 50981, 64034, 50824, 54383, 50932, 53169, 54371, 53238, 51003, 50434, 53216, 60315, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 57277, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 52088, 79771, 52088, 54593, 53238, 51003, 50458, 53169, 50915, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 73783, 58299, 51461, 51391, 77433, 51059, 57017, 51427, 52664, 50993, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 51813, 61525, 51003, 50446, 53169, 54356, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 50849, 56451, 51233, 64034, 50975, 55199, 50897, 54383, 51337, 53169, 68591, 58299, 51522, 50981, 64034, 50824, 54383, 50932, 53169, 54472, 53238, 51003, 50434, 55199, 50882, 53169, 50878, 53216, 54975, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 53840, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 52088, 65475, 58332, 52088, 54047, 53238, 51003, 50458, 53169, 51134, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 52063, 51813, 68796, 58299, 51461, 51391, 77433, 51059, 57017, 51379, 52664, 50976, 53165, 51961, 50804, 53238, 56509, 51560, 51212, 65549, 50976, 54614, 51242, 53169, 64861, 57197, 51560, 50981, 65549, 50824, 54614, 56858, 53238, 51003, 50458, 53216, 50849, 56451, 50892, 64034, 50802, 55199, 50812, 54383, 68495, 58299, 51522, 51312, 64034, 51072, 54383, 68693, 53579, 51003, 50434, 55199, 51033, 53169, 54014, 51560, 51233, 65549, 50975, 54614, 51309, 53216, 53197, 51003, 50446, 51140, 51391, 59860, 51059, 52842, 51961, 50804, 58332, 52088, 54047, 53579, 51003, 55929, 51233, 77433, 50975, 51813, 53351, 51003, 50422, 51813, 54818, 51461, 51233, 77433, 57432, 53238, 51003, 50434, 51813, 54773, 51461, 51233, 77433, 54482, 51003, 50446, 51813, 52725, 51461, 51233, 77433, 50975, 51813, 53497, 53238, 51003, 50458, 52088, 50917, 55970, 51233, 65549, 50975, 51813, 52784, 58299, 51560, 51233, 65549, 50975, 51813, 53497, 53238, 56509, 51560, 51233, 65549, 50975, 51813, 62288, 51003, 53526, 58332, 51560, 51233, 65549, 57432, 53238, 51003, 54124, 50942, 55929, 51233, 77433, 50975, 53165, 55856, 67579, 50908, 52679, 53871, 58299, 51461, 51233, 77433, 57432, 53238, 51003, 50434, 52456, 63418, 51461, 51233, 77433, 54482, 57197, 51461, 51233, 77433, 50975, 52517, 63066, 53579, 51003, 50458, 53169, 50897, 55929, 51233, 77433, 50975, 52517, 62067, 58299, 51461, 51233, 77433, 50975, 53169, 54047 ]
[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 4246, 10, 13305, 816, 5, 483, 33301, 6, 7513, 30, 41, 3459, 8669, 8, 31391, 1672, 9590, 4, 20, 1349, 34, 10, 2365, 8, 3366, 219, 16464, 6, 442, 24, 10686, 13, 3618, 930, 4, 85, 18, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 9, 16157, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 52894, 51377, 50801, 55456, 50800, 51476, 51677, 51465, 51662, 51249, 51675, 51327, 51790, 78594, 51976, 60267, 51510, 52921, 51132, 58804, 73231, 52658, 55088, 54125, 51132, 53530, 51049, 50858, 53075, 51680, 51570, 56358, 51338, 53309, 51420, 55920, 51132, 57983, 52227, 53791, 50812, 51327, 50983, 51382, 50800, 51476, 51097, 51647, 50810, 51465, 51238, 50456, 51132, 53530, 55603, 54413, 50812, 53053, 51377, 51976, 50822, 52690, 51243, 51303, 51445, 51414, 51894, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51137, 51121, 52957, 51998, 51532, 54221, 55088, 54125, 51137, 53097, 53365, 51570, 58862, 51132, 55503, 51420, 55920, 51137, 58307, 52227, 53187, 50812, 51410, 51189, 50447, 59011, 51382, 75083, 50810, 51457, 66313, 51181, 53309, 55603, 60267, 54468, 51377, 51976, 50822, 51465, 51151, 51231, 51151, 51249, 51151, 51327, 51151, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51349, 51177, 52957, 51998, 51532, 54221, 55088, 54125, 51349, 53530, 53365, 51570, 58862, 51374, 58059, 51420, 55920, 51349, 66781, 52227, 53187, 74780, 75083, 52863, 51349, 52218, 55603, 60267, 53053, 51377, 51976, 50822, 51303, 51151, 51231, 51151, 51414, 51151, 51457, 51151, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51137, 51060, 52957, 51998, 51532, 54221, 55088, 54125, 51137, 53530, 53365, 51570, 58862, 51181, 53309, 51420, 55920, 51137, 57983, 52227, 53187, 54672, 59011, 51382, 75083, 52863, 51137, 53530, 55603, 60267, 52894, 51377, 51976, 50822, 51465, 51047, 51231, 51047, 51249, 51047, 51327, 51047, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51132, 51060, 52957, 51998, 51532, 54221, 55088, 54125, 51132, 53530, 53365, 51570, 58862, 51338, 53309, 51420, 55920, 51132, 57983, 52227, 53187, 50812, 51465, 51295, 51231, 51295, 51249, 51295, 51327, 51295, 51382, 75083, 52863, 51132, 53530, 55603, 60267, 53053, 51377, 50801, 52189, 50808, 51303, 51742, 51231, 51742, 51414, 51742, 51457, 51742, 51402, 54964, 51976, 52668, 50812, 66866, 51137, 58804, 50859, 51532, 50851, 51361, 52668, 54125, 51137, 53530, 52227, 79161, 58862, 51181, 53309, 55190, 53743, 51137, 51025, 52404, 51104, 54413, 50812, 51303, 51115, 51382, 50858, 51414, 50914, 51647, 53820, 51137, 53530, 55603, 54413, 50812, 51457, 50845, 54468, 51377, 50801, 52189, 50808, 51465, 51151, 51231, 51151, 51249, 51151, 51327, 51151, 51402, 54964, 51976, 52668, 50812, 66866, 51349, 58804, 50859, 51532, 50851, 51361, 52668, 54125, 51349, 53530, 55168, 51570, 58862, 51374, 53309, 52938, 51820, 51349, 51025, 52404, 51104, 54413, 74780, 50858, 51647, 53820, 51349, 53530, 55603, 54413, 50812, 53053, 51377, 51976, 67051, 51303, 51790, 51231, 51790, 51414, 51790, 51457, 51790, 51402, 53066, 50804, 51475, 50810, 51510, 52710, 51137, 64210, 51475, 50851, 51532, 52658, 55088, 54112, 51137, 53497, 77181, 51475, 58862, 51132, 55924, 53103, 51137, 55560, 51475, 50810, 51303, 50977, 51231, 50977, 51414, 50977, 51457, 79860, 52506, 54626, 70513, 60201, 51303, 51203, 51231, 51203, 51414, 51203, 51457, 69960, 51181, 53352, 54984, 51475, 50810, 52894, 70013, 55456, 50800, 51062, 51400, 71731, 51410, 51115, 51303, 51115, 51249, 51115, 51327, 71215, 51976, 60267, 50421, 50999, 51255, 51510, 52921, 51132, 57439, 73231, 64222, 51081, 64669, 55088, 54125, 51181, 54312, 51049, 54362, 51181, 56914, 50812, 51719, 51397, 51249, 51397, 51327, 51397, 51457, 51397, 51062, 51159, 50441, 51338, 56081, 51420, 55920, 51181, 51775, 50801, 52227, 53791, 74780, 75083, 52863, 51181, 50873, 67681, 54413, 62371, 51146, 50901, 53053, 51162, 51976, 62501, 51081, 51100, 51402, 50907, 51303, 51115, 51231, 51115, 51414, 51115, 51457, 71215, 51976, 53791, 59432, 50951, 51124, 51510, 54325, 51137, 50967, 52957, 51998, 51532, 77285, 50999, 66440, 55088, 54125, 51416, 54312, 53365, 54683, 50971, 52066, 51465, 51397, 51231, 51397, 51414, 51397, 51327, 51397, 51081, 51189, 50441, 51727, 56081, 51420, 55920, 51338, 51775, 50801, 52227, 53187, 74780, 75083, 52863, 51338, 50873, 67681, 60267, 52894, 51162, 51976, 50810, 51410, 51397, 51231, 51397, 51249, 51397, 51327, 51397, 76301, 52071, 51402, 54964, 51976, 60267, 66866, 51132, 57439, 73231, 50851, 51361, 55352, 54125, 51181, 54312, 51049, 54362, 51181, 50971, 52066, 50441, 51338, 56081, 51420, 50882, 51303, 51115, 51249, 51115, 51327, 51115, 51457, 64632, 51181, 51775, 50801, 52227, 60267, 51382, 75083, 52863, 51181, 50873, 67681, 54413, 50812, 55556, 51162, 63735, 51303, 51397, 51249, 51397, 51327, 51397, 51457, 51397, 50415, 70135, 78594, 51976, 53288, 59432, 50877, 51116, 51510, 52921, 51727, 57439, 50858, 51532, 58779, 50906, 71895, 55088, 54125, 51844, 54312, 51049, 50858, 54585, 56914, 66303, 51109, 50441, 51137, 56081, 51420, 50851, 51303, 51115, 51231, 51115, 51249, 51115, 52109, 64632, 51349, 51775, 50801, 52227, 60267, 51382, 50858, 51028, 50915, 51647, 51754, 79212, 67681, 53791, 50812, 52198, 50810, 53447, 51162, 51976, 50822, 51303, 51397, 51249, 51397, 51327, 51397, 51457, 51397, 74354, 50915, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51181, 50967, 52957, 51998, 73343, 51159, 51532, 54221, 55088, 54125, 51526, 54312, 53365, 55511, 50971, 52066, 51303, 51397, 51231, 51397, 51414, 51397, 52109, 51397, 50877, 74244, 51602, 56081, 51420, 55920, 51526, 51775, 50801, 52227, 53187, 54672, 59011, 51382, 63333, 50915, 51647, 52863, 51526, 50873, 67681, 60267, 52894, 51162, 51976, 50822, 51410, 51397, 51303, 51397, 51249, 51397, 51327, 51397, 76301, 50943, 51402, 54964, 51976, 53791, 54080, 50852, 52710, 51132, 50967, 52957, 51998, 70836, 51532, 54221, 55088, 54125, 51910, 54312, 53365, 57144, 50889, 52066, 51719, 50915, 51249, 50915, 51672, 50915, 51457, 75408, 50968, 51448, 50441, 52506, 55920, 50801, 52227, 53187, 52848, 51374, 55506, 50800, 51410, 50915, 51465, 50915, 51651, 50915, 51672, 50915, 51647, 52863, 67681, 60267, 56682, 70013, 52189, 50808, 51402, 50907, 51465, 51115, 51651, 51115, 51672, 51115, 52109, 71215, 51976, 52668, 50812, 66866, 51844, 57439, 50859, 51532, 50851, 51361, 52668, 50812, 51028, 58926, 51727, 54312, 52227, 50812, 57124, 50889, 52066, 51303, 50915, 51651, 50915, 51414, 50915, 52109, 75408, 51001, 50943, 68959, 52938, 51820, 52404, 51104, 54413, 52848, 51533, 55506, 50858, 51231, 50915, 51414, 50915, 52109, 50915, 51980, 50915, 50451, 51028, 50915, 51647, 53820, 67681, 54413, 50812, 55609, 51162, 57986, 51475, 50851, 51687, 51397, 51231, 51397, 51414, 51397, 51327, 51397, 76301, 51518, 54519, 79827, 55171, 50810, 53327, 52654, 51602, 57439, 51475, 50851, 51532, 54150, 55088, 54112, 51137, 54806, 51724, 51137, 55633, 67051, 51303, 50915, 51231, 50915, 51414, 50915, 51457, 50915, 53012, 53103, 50804, 51475, 54803, 50801, 52848, 51338, 55506, 51475, 50851, 51647, 50851, 51465, 51203, 51231, 51203, 51414, 51203, 51327, 69960, 52095, 52054, 53187, 57450, 51062, 51351, 52894, 70013, 55456, 50800, 71731, 51410, 51115, 51303, 51115, 51249, 51115, 51327, 71215, 51976, 60267, 50421, 50999, 51255, 51510, 52921, 51132, 57439, 73231, 64222, 51081, 64669, 55088, 54125, 51181, 54312, 51049, 54362, 51181, 56914, 50812, 51062, 51159, 50441, 51338, 56081, 51420, 50882, 51719, 51115, 51249 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 14, 115, 28, 341, 25, 10, 19834, 11, 10, 822, 4, 85, 34, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 16, 11, 5, 762, 9, 274, 538, 4, 20, 6711, 16, 19448, 648, 2933, 8, 3722, 6, 19, 10, 15352, 30054, 4782, 4, 20, 33215, 16739, 9, 230, 6, 211, 119, 6, 272, 6, 230, 6, 1918, 16, 341, 683, 11, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50877, 52115, 50906, 51631, 50876, 51736, 50876, 53218, 50877, 53312, 50876, 50983, 55746, 50931, 52424, 50876, 52728, 50877, 50807, 55694, 52115, 50876, 51631, 50902, 51736, 50902, 58624, 50906, 51923, 50902, 51036, 50796, 50456, 50906, 50795, 54960, 52115, 50902, 51631, 50902, 52424, 50906, 52728, 50902, 50983, 52591, 50951, 53182, 50968, 53218, 50876, 53312, 50877, 50795, 55694, 52115, 50876, 51631, 50876, 60865, 50931, 51798, 50876, 51036, 50796, 63932, 51923, 50968, 50795, 56229, 52115, 50931, 53182, 50902, 53218, 50931, 50983, 55331, 52115, 50931, 53182, 50902, 58624, 50906, 51923, 75022, 55331, 52115, 50902, 53182, 50906, 53218, 50902, 51036, 50796, 50444, 50906, 51798, 50876, 51923, 50902, 50795, 55331, 52910, 50906, 52424, 50861, 52728, 50877, 50807, 55694, 52910, 50861, 50983, 57428, 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, 250, 33928, 3495, 1619, 2214, 11, 155, 73, 306, 86, 6543, 6, 4246, 41, 21979, 8669, 8, 13305, 816, 5, 33301, 6, 2800, 30, 21072, 8, 41, 21979, 9590, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 272, 6, 272, 406, 6, 8, 230, 4, 85, 34, 10, 23758, 3938, 20889, 8, 10, 13428, 6097, 9, 10, 455, 2214, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51034, 50628, 51018, 51034, 50903, 50839, 51768, 52742, 50903, 50825, 51034, 50903, 50839, 51768, 52742, 50903, 50825, 51034, 53248, 52140, 51476, 51314, 51465, 51742, 51231, 51662, 51414, 51939, 50986, 52598, 50998, 52212, 51064, 52015, 50801, 54778, 56813, 51150, 51518, 51768, 51464, 56344, 51149, 51448, 50900, 51048, 50428, 51439, 51637, 50434, 51725, 51391, 59419, 50800, 50986, 66377, 60067, 50956, 58780, 50899, 54758, 51476, 50974, 50445, 60509, 50446, 71656, 50447, 51298, 51004, 51034, 53248, 51447, 51465, 51535, 51231, 51535, 51414, 51535, 51327, 51535, 50986, 53486, 50998, 53866, 51064, 52528, 50801, 54778, 56813, 50900, 50823, 51150, 51692, 50417, 50909, 51310, 51149, 51679, 50419, 51086, 62906, 50997, 65553, 51027, 50870, 51768, 51464, 56344, 50997, 67161, 51027, 72300, 51176, 64042, 51026, 54927, 51465, 50857, 51231, 50857, 51414, 50857, 51327, 62156, 58159, 50939, 51644, 50299, 51073, 50440, 69598, 50446, 51725, 50925, 51034, 51476, 54143, 51303, 54143, 51249, 54143, 50801, 54778, 56813, 51140, 51518, 50986, 59170, 50970, 59170, 50947, 59170, 50416, 51050, 52195, 50417, 50850, 51353, 50418, 50909, 51080, 51768, 51464, 52950, 50903, 58159, 51085, 50821, 50986, 51961, 50970, 51961, 50947, 51961, 50443, 51324, 50813, 68423, 51675, 50801, 54778, 56813, 51050, 51422, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 65184, 51476, 51254, 51303, 51254, 51249, 51254, 50903, 52986, 69122, 55685, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 56698, 53454, 50801, 54778, 56813, 51257, 51059, 51026, 50808, 51140, 51518, 50986, 59170, 50970, 59170, 50947, 59170, 50418, 51027, 51605, 50420, 53075, 52919, 51510, 52992, 51476, 54143, 59193, 52925, 51303, 51218, 50434, 51149, 54362, 51007, 51735, 51249, 63675, 58159, 50986, 51961, 50970, 51961, 50947, 51961, 50444, 51327, 51486, 51034, 50909, 51735, 51249, 51742, 51150, 51675, 50801, 54778, 56813, 51050, 51310, 51510, 52992, 50850, 50823, 59193, 56344, 50986, 51330, 50970, 51330, 50947, 51330, 50430, 50992, 52925, 50847, 72762, 51303, 50878, 50903, 58159, 51085, 50925, 50442, 51324, 52986, 76067, 51234, 51051, 50446, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 51476, 52826, 51303, 52826, 51249, 52826, 51504, 55392, 50801, 54778, 56813, 51279, 51148, 51140, 51518, 50416, 50850, 54454, 50422, 50986, 53674, 50426, 50970, 54557, 59193, 57535, 50947, 51679, 59015, 58159, 51279, 51166, 50446, 50986, 51391, 50447, 51085, 50874, 68423, 51675, 50970, 55586, 50801, 54778, 69939, 51050, 51535, 50422, 50947, 51244, 51768, 51464, 52950, 50903, 58159, 51050, 50987, 50446, 50909, 50882, 51026, 50955, 50970, 50941, 50947, 50907, 51034, 51327, 52140, 51303, 54249, 50801, 54778, 56813, 51176, 51312, 53075, 58651, 51476, 55844, 51140, 51518, 50986, 59170, 50970, 59170, 50947, 59170, 50416, 51257, 51653, 51768, 51464, 56344, 51027, 51295, 50428, 51149, 51237, 59015, 58159, 50900, 50915, 50986, 51961, 50970, 51961, 50947, 51961, 50446, 51007, 50860, 68423, 51675, 50801, 54778, 56813, 70093, 50416, 50909, 52097, 50425, 53171, 51448, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 70550, 52287, 51961, 59015, 58159, 51825, 76097, 51327, 50933, 50445, 50872, 61409, 51050, 50845, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 51465, 52826, 51231, 52826, 51414, 52826, 51327, 52826, 50986, 51490, 50998, 58468, 51064, 52528, 50801, 54778, 56813, 51150, 51692, 50417, 50868, 51795, 51315, 51313, 51510, 50839, 51768, 51464, 52950, 51725, 51449, 50903, 57728, 50986, 52212, 67834, 51803, 50998, 51592, 50801, 54778, 58235, 50929, 52015, 51768, 51464, 65760, 50885, 55666, 50903, 57728, 50986, 51210, 51034, 53248, 51671, 51465, 52919, 51231, 52919, 51414, 52919, 51327, 52919, 50986, 51490, 50998, 58468, 51064, 52528, 50801, 54778, 56813, 51149, 51761, 51150, 51518, 50416, 50900, 56769, 51768, 51464, 52950, 51725, 51449, 50903, 58159, 51007, 51012, 50446, 50909, 51030, 50986, 52212, 67834, 51675, 50998, 51592, 50801, 54778, 69939, 50939, 51300, 50422, 50929, 52015, 51768, 51464, 52950, 51465, 61319, 58159, 50847, 50806, 50440, 50900, 75097, 70384, 77469, 50986, 51210, 51034, 51465, 54143, 51231, 54143, 51414, 54143, 51327, 54143, 50801, 54778, 56813, 51150, 51518, 50998, 59170, 50929, 59170, 51064, 59170, 51032, 59170, 50416, 50868, 51285, 50997, 56515, 51768, 51464, 52950, 50903, 58159, 50868, 50882, 50998, 51961, 50929, 51961, 51064, 51961, 51032, 51961, 50442, 50979, 53041, 55315, 67834, 51675, 50801, 54778, 56813, 50885, 51790, 50916, 51742, 51768, 51464, 56344, 50998, 51330, 50929, 51330, 51064, 51330, 51032, 65184, 51465, 51254, 51231, 51254, 51414, 51254, 51327, 51254, 50903, 57728, 50885, 50897, 50998, 51051, 50929, 51051, 51064, 51051, 51032, 51051, 78458, 51358, 53248, 53454, 50986, 51490, 50998, 58468, 51064, 52528, 50801, 54778, 56813, 50885, 51603, 51150, 51692, 50426, 78436, 51476, 54143, 59193, 52925, 51465, 71161, 50847, 51072, 51231, 50892, 51725, 51449, 50903, 58159, 50900, 79954, 51414, 51486, 50446, 50986, 52212, 51034, 50939, 51009, 74720, 51231, 51742, 51098, 51803, 50998, 51592, 50801, 54778, 58235, 50929, 52015, 51510, 50839, 51768, 51464, 52950, 51465, 50878, 50903, 58159, 50900, 63954, 51086, 64300, 50997, 53010, 50446, 50992, 50860, 50986, 51210, 51034, 51476, 52826, 51303, 52826, 51249, 52826, 50986, 51490, 50970, 58468, 50947, 52528, 50801, 54778, 56813, 51140, 51790, 50416, 50850, 51795, 50417, 51027, 52071, 51768, 51464, 52950, 51504, 51449, 50903, 57728, 50986, 52212, 73831, 51486, 50970, 51592, 50801, 54778, 50839, 51768, 51464, 52950, 50903, 57728, 50986, 51210, 51034, 51257, 51870, 56698, 53454, 50801, 54778, 56813, 50877, 51160, 51140, 51692, 50986, 59170, 50970, 59170, 50947, 59170, 50420, 53075, 52919, 50426, 51476, 54143, 59193, 56344, 50861, 69133, 51303, 51218, 50437, 51149, 54114, 51249, 63675, 58159, 51149, 51033, 50871, 51159, 50906, 50870, 50986, 51961, 50970, 51961, 50947, 51961, 50444, 51327, 51486, 50446, 51007, 51021, 51034, 51249, 51742, 51461, 51803, 50801, 54778, 56813, 50916, 51411, 50416, 50909, 51552, 53337, 51411, 59193, 56344, 50986, 51330, 50970, 51330, 50947, 51330, 50434, 50850, 62591, 51303, 50878, 50903, 58159, 50900, 51058, 50440, 50847, 50923, 50446, 50986, 51051, 50970, 51051, 50947, 77302, 59949, 50850, 50841, 51034, 51327, 52140, 51303, 54249, 50801, 54778, 56813, 53075, 58651, 51476, 55844, 51140, 51692, 50986, 59170, 50970, 59170, 50947, 59170, 50417, 50850, 51603, 50418, 51050, 51422, 51768, 51464, 65760, 50850, 52379, 59015, 58159, 50986, 51961, 50970, 51961, 50947, 51961, 51034, 51461, 51803, 50801, 54778, 69939, 51050, 51803, 50425, 53171, 51448, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 70550, 52287, 51961, 59015, 58159, 51825, 76097, 51327, 62565, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 51476, 54143, 51303, 54143, 51249, 54143, 50801, 54778, 56813, 51257, 51059, 51140, 51692, 50986, 59170, 50970, 59170, 50947, 59170, 50416, 51050, 51486, 51510, 50839, 51768, 51464, 52950, 50903, 58159, 51149, 50894, 50986, 51961, 50970, 51961, 50947, 51961, 50446, 51007, 51033, 51034, 51461, 51803, 50801, 54778, 69939, 50909, 52195, 51050, 51103, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 65184, 51476, 51254 ]
[ 0, 250, 20902, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 2712, 6, 3185, 30, 10, 13305, 816, 11, 10, 1769, 20889, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 211, 119, 406, 428, 245, 73, 347, 6, 1918, 6, 8, 381, 4, 2285, 63, 765, 13428, 6, 5, 2125, 10200, 7, 35334, 10, 3344, 9, 20425, 8, 1372, 6711, 29, 6, 19, 41, 7482, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 72861, 50877, 64924, 50943, 53523, 60097, 58722, 54777, 50899, 59903, 70062, 60510, 51027, 65378, 66920, 59827, 50900, 60097, 58722, 50901, 55435, 64000, 64290, 55689, 50997, 61123, 58722, 55035, 50997, 61123, 63785, 54777, 50900, 60097, 78172, 51003, 55513, 60097, 63785, 55125, 50900, 60097, 63348, 51003, 59626, 50899, 66676, 51101, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 51310, 50456, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 58667, 51050, 51212, 50906, 50838, 54206, 69887, 51242, 50931, 54644, 50871, 57777, 50981, 57025, 51212, 50877, 53052, 50899, 62597, 60472, 51742, 55898, 56391, 50871, 52985, 50877, 53581, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 50931, 54644, 50871, 57777, 50981, 57025, 51212, 50877, 53052, 50899, 61902, 65348, 54498, 50899, 56391, 50871, 74984, 51310, 60027, 53581, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 50931, 54644, 50871, 57777, 50981, 57025, 51212, 50877, 53052, 50899, 62597, 60472, 51742, 55898, 56391, 50871, 52985, 50877, 53581, 51027, 66289, 50838, 56310, 50874, 50916, 59023, 55689, 50997, 61123, 66412, 60307, 51040, 60097, 52454, 50317, 59791, 50916, 59903, 51477, 50968, 51295, 59626, 50899, 66676, 51101, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 51310, 50456, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 58667, 51050, 51212, 50906, 50838, 54206, 69887 ]
[ 0, 713, 20425, 8, 15352, 30054, 3495, 2214, 11, 272, 538, 1575, 10, 13305, 816, 5, 1049, 4782, 4, 590, 10, 20889, 9, 13950, 163, 5683, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3344, 9, 8597, 6, 31, 15073, 7, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 8, 211, 3639, 7, 63, 13363, 28191, 2574, 11, 42, 765, 4388, 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 ]	[ 56236, 50796, 57267, 55247, 50900, 59258, 51115, 55524, 50915, 55902, 53172, 50876, 57348, 57648, 50902, 53264, 50900, 68504, 51422, 59758, 50915, 54594, 50995, 53523, 68504, 51115, 59419, 56306, 50902, 53562, 50968, 57348, 58843, 50931, 50845, 53975, 64951, 51047, 56248, 54975, 50861, 60250, 55247, 50900, 75052, 50915, 54578, 64951, 55382, 50877, 79442, 54975, 50900, 64951, 55247, 50871, 67883, 50915, 54852, 75511, 55382, 51086, 61739, 52644, 55898, 55247, 50861, 50995, 54955, 55382, 51027, 54975, 51086, 51412, 55895, 59258, 51115, 55524, 50915, 55902, 53172, 50876, 57348, 57173, 50902, 53264, 50900, 68504, 51422, 59758, 50915, 54594, 50915, 53523, 68504, 51115, 59419, 56306, 50902, 53562, 50968, 57348, 57414, 50931, 50845, 53975, 64951, 51047, 56248, 54975, 50861, 59258, 55247, 50900, 75052, 50915, 54578, 64951, 55382, 50877, 67883, 54975, 51086, 68504, 55247, 50899, 61739, 50915, 54594, 67430, 50915, 53523, 59258, 51115, 59419, 56306, 50861, 53562, 50968, 57348, 57414, 50902, 50845, 53975, 51422, 50876, 51422, 50451, 51026, 66532, 50943, 51601, 51027, 59258, 50915, 50427, 51086, 51203, 50902, 51203, 50439, 51086, 63402, 50943, 50451, 51027, 59258, 50915, 51601, 51026, 51203, 50973, 51203, 50427, 51315, 59258, 51115, 50439, 51026, 50915, 50445, 50861, 71474, 50876, 63327, 50915, 50457, 50902, 50845, 51601, 51026, 68504, 51422, 77095, 75408, 50916, 50915, 50451, 51026, 67430, 50915, 51601, 51027, 59258, 50915, 50427, 51086, 51203, 50902, 51203, 50439, 51086, 63402, 50943, 50451, 50900, 74335, 50943, 51601, 50899, 67780, 75725, 50900, 68504, 51115, 50439, 50916, 50915, 50445, 50902, 71474, 50968, 57348, 50915, 50457, 50902, 50845, 51601, 50631, 50900, 59258, 51422, 50427, 50916, 75408, 50861, 50915, 50451, 50632, 51050, 67883, 50915, 51601, 51027, 58421, 50915, 77095, 58421, 75408, 51050, 58421, 50915, 50451, 51027, 59258, 50915, 51601, 50900, 67883, 50915, 50427, 51026, 68504, 51047, 50439, 50900, 50915, 50451, 50916, 67883, 50915, 51601, 51026, 64951, 51422, 77095, 75408, 50916, 50915, 50451, 51378, 61739, 51047, 51601, 51027, 50915, 50427, 50899, 61739, 75408, 51378, 61739, 50915, 50451, 51027, 68504, 50915, 51601, 50899, 59258, 50915, 50427, 51026, 68504, 51422, 50439, 50900, 50915, 50451, 50916, 50915, 51601, 50631, 51026, 61739, 51422, 50427, 51027, 75408, 51086, 50995, 50451, 50632, 50900, 59258, 51115, 51601, 50916, 50915, 50421, 50861, 75241, 50876, 57348, 50995, 50433, 50902, 78947, 50900, 68504, 51422, 50451, 50916, 50915, 51601, 50861, 50995, 77095, 68504, 51115, 50439, 50916, 50915, 50445, 50902, 71474, 50968, 57348, 50995, 50457, 50931, 50845, 51601, 50900, 64951, 51047, 50427, 50916, 75408, 50861, 60250, 50915, 50451, 50900, 75052, 50915, 51601, 50871, 64951, 50915, 50427, 50877, 79442, 75408, 50900, 64951, 50915, 73867, 67883, 50915, 51601, 50877, 75511, 50915, 50427, 51086, 61739, 52644, 50439, 50899, 50915, 50451, 50861, 50995, 51601, 50871, 50915, 50427, 50916, 75408, 50899, 50995, 50451, 50900, 59258, 51115, 51601, 50916, 50915, 50421, 50861, 75241, 50876, 57348, 50995, 50433, 50902, 78947, 50900, 68504, 51422, 50451, 50916, 50915, 51601, 50861, 50995, 77095, 68504, 51115, 50439, 50916, 50915, 50445, 50902, 71474, 50968, 57348, 50995, 50457, 50931, 50845, 51601, 50900, 64951, 51047, 50427, 50916, 75408, 50861, 60250, 50915, 50451, 50900, 75052, 50915, 51601, 50871, 64951, 50915, 50427, 50877, 79442, 75408, 51086, 68504, 50915, 50451, 50899, 61739, 50915, 51601, 50861, 67888, 50915, 50427, 50631, 50900, 59258, 51115, 50439, 50916, 50915, 50445, 50861, 71474, 50968, 57348, 50995, 50457, 50902, 50845, 51601, 50900, 53295, 50876, 53295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3495, 2214, 4246, 9590, 3863, 6, 12280, 3275, 1725, 3109, 6, 17691, 28430, 6, 23338, 33518, 1264, 6, 8, 1515, 21305, 6, 7630, 14805, 6453, 9, 657, 8, 1619, 4, 8504, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 2877, 6, 19, 5, 40286, 211, 8, 83, 406, 1976, 5, 46336, 4811, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50799, 53029, 51337, 50420, 53895, 52688, 52573, 77066, 53895, 53264, 52550, 55322, 53249, 54058, 51273, 50995, 53029, 54509, 56280, 51079, 53458, 51419, 53029, 51423, 50420, 53895, 52688, 52573, 78265, 53895, 54137, 52550, 51363, 50444, 53249, 54058, 52387, 51060, 51273, 50995, 53029, 54509, 52213, 51100, 56280, 50838, 50799, 52721, 50942, 51098, 51749, 53029, 51337, 50420, 52721, 50933, 52573, 54335, 52721, 50955, 53895, 56427, 52721, 50810, 52573, 54938, 52721, 51194, 51098, 51244, 52049, 55103, 52573, 52985, 51760, 51178, 53895, 57092, 52550, 64735, 51971, 50937, 68093, 51100, 51273, 51244, 52573, 63922, 51756, 50795, 53249, 54335, 52721, 51121, 56280, 57524, 52213, 50849, 53249, 52718, 52721, 50893, 51098, 51318, 53895, 53999, 52387, 50897, 53029, 51477, 50450, 52387, 65847, 52213, 50845, 50799, 52721, 50878, 51098, 51749, 52049, 55041, 52721, 50959, 52573, 54335, 52721, 50955, 53895, 55378, 52721, 50955, 52573, 55659, 52721, 51060, 51098, 51314, 52049, 53624, 52573, 55437, 51760, 51235, 53895, 59435, 52550, 79088, 51971, 50937, 68093, 51100, 51273, 51244, 52573, 63922, 51756, 50805, 53249, 58069, 52721, 50873, 56280, 65298, 52213, 51110, 53249, 52718, 52387, 50914, 51098, 51542, 53029, 51637, 50450, 59766, 51121, 60198, 51221, 50459, 56848, 51008, 64616, 50878, 54079, 51448, 59766, 51121, 60198, 51111, 50420, 53249, 51079, 54668, 50901, 56848, 63559, 56280, 51432, 53060, 50974, 59766, 53052, 53249, 50838, 54668, 50925, 55455, 52718, 51098, 51542, 53029, 51108, 59766, 51159, 53060, 57105, 52387, 65847, 52213, 51121, 50799, 52721, 50955, 51098, 51448, 52049, 50892, 53060, 51115, 59766, 72108, 52721, 50822, 52573, 56307, 52721, 50955, 53895, 55378, 52721, 50810, 52573, 50972, 54668, 51212, 56848, 74387, 52721, 51100, 51098, 51244, 52049, 50892, 59766, 50866, 60198, 73971, 52573, 56697, 51760, 51235, 53895, 51166, 59766, 50845, 60198, 57414, 52550, 56517, 51971, 50938, 68093, 51111, 51273, 51244, 52573, 50972, 56848, 51310, 69070, 73009, 51756, 51158, 53249, 53770, 52721, 50893, 56280, 55378, 52213, 50849, 53249, 52718, 52721, 68314, 51448, 53895, 50972, 60198, 51203, 57331, 51312, 50444, 52387, 50812, 53029, 64180, 64616, 50822, 61743, 54004, 52387, 51060, 57331, 51221, 60198, 51400, 50456, 52213, 51101, 50799, 52721, 50959, 51098, 51535, 52049, 50892, 53060, 51295, 59766, 78377, 52721, 50822, 52573, 56307, 52721, 50866, 53895, 55378, 52721, 50833, 52573, 50972, 54668, 51242, 56848, 72759, 52721, 51060, 51098, 51148, 52049, 50892, 59766, 51058, 60198, 55945, 52573, 56697, 51760, 51227, 53895, 51166, 59766, 50845, 60198, 53586, 52550, 56517, 51971, 50917, 68093, 50849, 51273, 51148, 52573, 50972, 54668, 51047, 56848, 62976, 51756, 50879, 53249, 53770, 52721, 50849, 56280, 55378, 52213, 51100, 53249, 52718, 52387, 51003, 51098, 50995, 53029, 51108, 53060, 51108, 59766, 57105, 52824, 50967, 51900, 51110, 50459, 51784, 50857, 52285, 50844, 54079, 51535, 52824, 50805, 51900, 51111, 50420, 53249, 50892, 52355, 50937, 51784, 66010, 56280, 50972, 52278, 50845, 52824, 68766, 53249, 50838, 54219, 50974, 52355, 51121, 57280, 50995, 53029, 51108, 52824, 50914, 52278, 72269, 52387, 59562, 52213, 51100, 50799, 52721, 50955, 51098, 51535, 51098, 51535, 52049, 55041, 52721, 50822, 52573, 50974, 52824, 50904, 52278, 53881, 52721, 50955, 53895, 50972, 52278, 50867, 52824, 54854, 52721, 50810, 52573, 50972, 52824, 51172, 52278, 51400, 50438, 52721, 51100, 51098, 51148, 52049, 55200, 52573, 50974, 52278, 50886, 52824, 58271, 51760, 51235, 53895, 51166, 52278, 50857, 52824, 54232, 52550, 50838, 52278, 51203, 52824, 51534, 50459, 51971, 50938, 68093, 51111, 51273, 51148, 52573, 59288, 51756, 51158, 53249, 50892, 52355, 50886, 51784, 54317, 52721, 50893, 56280, 50972, 51784, 50886, 52355, 52658, 52213, 50849, 53249, 50838, 51784, 50981, 52355, 56692, 52721, 68314, 51391, 53895, 57997, 52387, 50812, 53029, 50972, 52824, 50971, 51900, 54915, 52387, 51060, 52824, 50867, 51900, 54199, 52213, 51101, 51273, 50822, 52824, 51194, 51900, 51203, 50799, 52721, 50959, 51098, 51047, 52049, 55041, 52721, 50822, 52573, 50974, 52278, 50886, 52824, 54689, 52721, 50866, 53895, 50972, 52824, 50941, 52278, 54221, 52721, 50833, 52573, 50972, 52278, 51312, 52824, 74048, 52721, 51060, 51098, 51145, 52049, 55200, 52573, 50974, 52278, 50941, 52824, 54939, 51760, 51227, 53895, 51166, 52824, 50829, 52278, 54199, 52550, 50838, 52278, 51194, 52824, 51337, 50459, 51971, 50917, 68093, 50849, 51273, 51148, 52573, 59288, 51756, 50879, 53249, 50892, 54219, 50870, 52355, 53935, 52721, 50849, 56280, 50972, 54219, 50820, 52355, 53705, 52213, 51100, 53249, 50838, 54219, 50959, 52355, 53913, 52387, 51194, 51098, 51134, 53029, 51108, 52824, 50932, 52278, 72499, 52044, 66313, 51098, 57490, 52416, 50897, 54079, 51397, 52044, 55099, 53249, 50892, 51975, 50873, 54219, 50870, 52355, 53935, 56280, 50972, 52797, 50925, 54219, 50820, 52355, 53705, 53249, 50838, 52242, 50822, 54219, 50959, 52355, 53913, 51098, 51134, 53029, 51108, 52049, 51141, 52824, 50932, 52278, 72499, 52387, 59562, 52213, 51100, 51273, 50867, 50799, 52721, 50955, 51098, 51397, 52049, 50892, 56049, 51295, 56117, 72108, 52721, 50822, 52573, 56307, 52721, 50955, 53895, 55378, 52721, 50810, 52573, 50972, 55308, 50845, 52338, 51328, 50438, 52721, 51100, 51098, 51244, 52049, 50892, 56117, 51212, 52665, 72438, 52573, 56697, 51760, 51235, 53895, 51166, 52665, 50981, 56117, 58843, 52550, 56517, 51971, 50938, 68093, 51111, 51273, 51148, 52573, 50972, 52338, 50892, 55308, 51212, 50420, 51756, 51158, 53249, 50892, 56049, 50974, 56117, 64570, 52721, 50893, 56280, 50972, 55308, 51212, 52338, 68181, 52213, 50849, 53249, 50838, 56117, 50905, 52665, 56298, 52721, 68314, 51535, 53895, 50972, 56049, 51337, 56117, 61112, 52387, 50812, 53029, 55437, 52387, 51060, 66207, 51233, 56049, 58667, 52213, 51101, 50799, 52721, 50959, 51098, 51535, 52049, 50892, 56049, 51637, 56117, 51477, 50420, 52721, 50822, 52573, 56307, 52721, 50866, 53895, 55378, 52721, 50833, 52573, 50972, 55308, 51277, 52338, 72759, 52721, 51060, 51098, 51314, 52049, 50892, 52665, 50845, 56117, 73971, 52573, 56697, 51760, 51227, 53895, 51166, 56117, 51097, 52665, 58843, 52550, 56517, 51971, 50917, 68093, 50849, 51273, 51244, 52573, 50972, 52338, 50905, 55308, 77769, 51756, 50879, 53249, 50892, 56049, 50905, 56117, 64570, 52721, 50849, 56280, 50972, 55308, 50892, 52338, 54342, 52213, 51100, 53249, 50838, 56117, 50838, 52665, 56298, 52387, 51194, 51098, 51749, 53029, 51108, 56117, 51411, 56049, 57991, 56117, 51162, 52665, 51377, 50459, 52338, 50822, 53064, 50955, 54079, 51535, 56117, 50901, 52665, 57437, 53249, 50892, 55308, 50873, 52338, 55035, 53895, 50972, 56117, 50795, 56049, 68181, 53249, 50838, 73293, 51277, 55308, 51101, 57280, 51749, 53029, 51108, 56049, 51448, 56117, 51535, 50450, 52387, 59562, 52213, 51100, 50799, 52721, 50955, 51098, 51535, 52049, 50892, 53060, 51115, 59766, 51283, 56117, 72108, 52721, 50822, 52573, 56307, 52721, 50955, 53895, 55378, 52721, 50810, 52573, 50972, 54668, 51212, 56848, 51177, 52338, 51328, 50438, 52721, 51100, 51098, 51244, 52049, 50892, 59766, 50866, 60198, 51212, 52665, 72438, 52573, 56697, 51760, 51235, 53895, 51166, 59766, 50845, 60198 ]
[ 0, 250, 15352, 30054, 3495, 2214, 11509, 657, 8, 11098, 6, 4246, 10, 11739, 9, 21072, 6, 6755, 12547, 6, 13305, 6, 449, 7087, 6, 8, 21979, 8669, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 163, 119, 6, 381, 6, 163, 119, 6, 8, 230, 10431, 119, 3639, 7, 63, 1144, 26016, 13569, 9862, 6, 442, 24, 10, 12365, 2031, 13, 10, 1619, 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 ]	[ 54458, 50796, 50452, 55340, 77898, 59412, 65917, 54143, 50796, 50436, 64538, 51801, 50796, 50447, 56336, 60130, 64995, 53201, 50796, 50436, 59480, 51878, 50458, 57788, 60243, 55746, 60996, 65527, 50796, 51809, 64538, 52431, 50456, 57788, 52263, 50796, 50430, 59480, 60243, 50437, 64638, 54270, 50443, 56336, 52829, 64995, 60130, 64538, 53055, 53069, 60996, 56329, 50422, 53278, 59189, 50445, 65917, 59519, 56020, 50843, 68751, 50843, 65252, 51019, 57383, 58346, 51415, 50873, 50443, 51011, 51538, 52326, 55776, 51249, 52140, 52109, 51592, 51818, 52916, 52684, 51939, 55340, 51662, 55314, 51939, 52225, 52598, 53828, 51749, 50798, 56022, 50937, 74113, 55639, 51542, 56403, 50987, 51889, 50978, 51070, 51006, 51355, 51254, 50458, 58088, 51166, 50459, 51236, 54071, 51889, 50987, 51601, 55639, 51466, 50416, 52414, 52263, 53976, 51562, 50903, 52201, 50845, 51236, 50805, 51889, 50873, 51070, 67132, 51355, 50987, 62579, 51387, 79668, 51070, 50838, 53297, 56427, 52367, 52192, 64821, 55811, 50437, 52433, 52256, 56903, 51358, 54369, 52916, 51231, 52431, 51672, 52528, 51818, 52528, 52507, 51939, 54008, 51939, 55314, 51592, 52187, 52528, 53499, 52062, 50798, 54260, 50977, 70501, 74004, 51470, 51270, 50978, 51889, 50938, 51845, 51470, 70501, 51350, 51058, 50454, 51845, 52731, 50458, 52433, 52378, 50459, 50903, 52201, 55993, 61202, 51387, 51845, 51074, 51925, 50974, 51070, 50838, 52177, 51240, 51376, 51350, 51058, 50421, 52367, 52048, 50422, 51019, 53834, 57290, 51074, 51240, 50892, 51889, 50849, 51925, 51079, 51070, 50905, 50428, 50913, 51006, 51350, 52192, 50432, 53297, 52256, 50433, 51011, 51538, 52326, 54829, 51249, 52783, 52109, 52783, 51818, 52783, 52684, 51680, 55340, 51803, 55314, 51680, 52033, 52140, 52225, 52222, 50798, 57837, 51058, 51070, 51006, 51355, 54887, 50438, 51355, 53306, 51180, 51006, 51889, 77848, 51006, 51355, 70591, 55639, 51166, 50449, 51236, 51432, 51889, 70184, 58088, 51466, 50454, 50903, 53710, 51254, 51236, 50938, 51889, 77848, 51254, 50460, 51355, 50978, 51809, 55639, 58090, 51402, 50838, 51270, 53313, 52190, 50845, 51070, 50974, 50422, 52367, 54887, 51355, 52192, 50427, 53297, 52916, 50428, 51213, 51538, 55349, 52140, 51719, 51662, 51249, 51939, 52109, 52431, 53654, 51662, 52684, 51592, 55340, 52140, 51656, 52062, 52430, 52222, 50798, 54042, 50901, 51270, 51387, 51070, 56298, 51316, 55744, 51254, 51270, 50987, 51889, 70739, 51006, 51659, 51058, 50443, 51292, 62523, 65256, 51142, 50446, 59456, 51142, 50448, 56601, 70936, 51076, 51079, 50903, 55992, 59694, 50865, 51236, 51824, 51845, 50978, 51070, 57299, 60189, 66145, 76889, 51240, 51737, 51659, 50901, 50460, 50947, 50981, 62855, 56104, 71589, 51058, 51240, 50987, 51889, 50865, 51925, 50978, 74113, 51809, 62672, 52946, 53214, 51254, 51659, 52782, 50419, 59570, 65173, 51019, 51538, 54369, 52528, 51231, 52015, 51672, 52015, 51818, 52140, 53278, 55482, 52507, 51677, 55340, 52335, 52187, 53588, 53499, 52222, 68559, 51749, 50798, 52201, 50873, 51070, 50892, 51350, 55544, 56200, 50835, 63668, 62886, 50791, 50987, 51889, 50978, 51070, 56480, 51236, 51697, 51889, 50892, 51350, 50905, 50443, 55639, 54758, 50903, 50938, 53226, 51236, 50977, 51889, 50937, 51070, 51006, 50455, 50791, 52192, 51270, 50987, 52190, 50977, 51070, 51006, 51350, 51824, 64402, 55811, 52177, 51011, 51623, 52326, 52431, 51249, 51592, 52109, 51592, 51818, 52783, 52684, 51939, 55340, 56329, 52225, 52140, 53828, 52062, 50798, 52808, 50901, 51070, 50974, 51350, 51697, 50427, 56200, 71699, 50791, 51166, 51236, 50845, 51889, 50805, 51845, 51166, 51070, 50974, 63668, 50912, 51355, 78239, 51845, 52731, 50438, 58088, 77563, 50903, 56022, 58589, 50865, 51845, 51376, 51925, 51058, 51070, 58867, 51240, 51737, 51355, 78876, 55639, 56989, 51019, 55548, 58174, 51376, 51240, 50987, 75862, 51925, 51254, 67728, 50454, 52367, 62356, 50913, 50838, 50460, 51213, 51161, 55349, 54829, 51719, 52168, 51249, 52168, 52109, 52980, 53654, 52431, 51656, 52263, 52430, 51878, 50798, 57837, 51058, 51070, 51006, 53297, 50857, 51659, 51174, 50799, 55639, 50907, 50416, 53297, 50907, 50419, 55639, 61211, 50421, 53297, 52514, 51510, 50838, 51889, 50892, 51070, 69192, 53297, 51697, 50428, 51224, 51174, 51270, 51006, 51889, 51058, 51659, 50978, 50431, 55639, 67494, 53297, 51022, 50434, 52684, 51738, 52187, 52263, 53499, 51749, 50903, 51370, 51079, 51326, 53872, 53024, 51270, 50905, 51889, 50892, 51070, 51079, 55639, 67009, 53297, 56458, 50439, 51065, 51254, 51180, 51006, 51065, 51058, 51236, 50866, 52190, 50866, 70501, 51659, 64533, 51065, 51387, 50451, 50998, 50978, 50453, 50929, 51677, 51076, 55086, 50455, 51019, 51161, 54369, 52916, 51231, 52140, 51672, 52140, 52109, 52431, 53278, 52140, 52507, 51592, 54008, 54887, 55340, 52980, 52033, 53588, 53828, 53588, 51316, 51742, 50798, 57837, 71589, 52731, 50856, 51824, 51321, 50987, 51065, 51006, 70501, 51350, 52783, 75695, 55360, 51159, 71810, 50434, 50843, 51376, 50439, 54063, 51775, 50852, 60649, 52515, 51591, 51011, 51161, 52326, 59828, 52102, 57598, 51249, 53849, 52109, 52062, 51818, 52431, 53278, 58643, 52684, 55116, 55340, 55174, 50798, 56022, 50937, 51769, 50938, 74113, 50461, 50791, 50987, 51889, 50978, 51070, 51006, 51355, 51058, 52478, 51236, 54071, 51889, 66700, 50903, 52201, 50845, 51236, 50805, 51889, 50873, 51070, 58125, 51355, 51174, 50434, 54063, 79518, 51387, 79668, 51070, 50838, 66651, 55811, 50445, 55360, 51397, 51011, 51623, 52109, 52168, 51818, 52528, 50798, 54260, 50977, 70501, 51453, 51470, 51270, 50978, 51889, 50938, 51845, 51470, 70501, 51355, 50866, 50461, 51845, 51697, 52478, 52285, 51411, 50903, 56022, 58589, 50865, 51236, 52192, 51845, 51376, 51925, 51058, 51070, 51006, 50424, 51240, 51376, 51355, 73058, 51950, 51312, 51011, 53834, 57290, 51074, 51240, 50892, 51889, 50849, 51925, 51079, 51070, 50905, 51250, 53024, 50434, 50913, 51006, 50440, 52285, 51535, 51019, 51358, 54369, 52916, 51231, 51592, 51672, 52140, 51818, 52140, 53278, 52431, 55314, 51592, 50798, 54042, 50974, 51070, 50838, 51250, 51166, 50445, 51350, 54071, 52320, 51006, 51889, 77848, 51006, 51350, 54887, 50454, 65256, 51524, 50456, 51236, 51432, 51889, 50974, 51350, 67590, 59456, 74981, 56601, 51210, 50461, 52285, 51025, 60189, 79488, 53710, 51254, 51236, 50938, 51889, 77848, 51254, 60212, 51950, 51109, 62008, 56601, 52873, 50838, 51270, 53313, 52190, 50845, 51070, 78239, 52515, 51109, 51205, 51623, 51719, 51680, 51672, 52783, 52571, 53486, 51457, 52783, 52583, 51680, 53654, 51662, 54008, 52140, 50798, 54042, 50901, 51270, 51387, 51070, 65867, 60189, 77118, 51780, 63693, 54063, 51562, 50791, 51254, 51270, 50987, 51889, 70739, 57299, 51780, 54900, 50903, 55992, 59694, 50865, 51236, 51824, 51845, 50978, 51070, 51006, 50461, 51240, 51737, 53069, 54063, 51377, 51205, 55548, 71589, 51058, 51240, 50987, 51889, 50865, 51925, 50978, 74113, 51780, 66910, 65256, 52179, 50424, 50913, 51254, 51250, 51128, 50425, 59456, 51524, 50427, 56601, 56552, 57489, 51417, 51019, 51538, 51231, 52062, 51672, 51939, 51818, 52140, 54369, 54171, 60189, 59083, 52201, 50873, 51070, 50892, 51350, 51851, 66651, 50892, 51889, 50905, 51070, 50838, 51350, 58545, 60189, 62232, 58448, 70003, 51236, 54071, 51889, 58038, 62855, 63653, 54063, 51400, 50903 ]
[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 11, 230, 10431, 538, 6, 4246, 10, 38668, 483, 6, 38668, 9590, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 38668, 20535, 4, 590, 10, 1769, 20889, 9, 22236, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 10, 5705, 19983, 33215, 16739, 9, 274, 10431, 6, 230, 10431, 6, 2060, 6, 274, 10431, 6, 8, 230, 10431, 6, 2351, 10, 11299, 8, 3366, 219, 5466, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 61627, 53955, 50795, 52077, 56646, 52685, 50795, 52655, 56160, 53955, 50795, 52077, 54403, 53286, 51091, 52914, 51541, 50461, 52606, 51748, 52582, 51748, 52252, 51748, 76501, 52525, 56210, 52077, 51496, 50461, 53496, 52720, 52582, 52720, 52072, 52720, 55746, 52708, 56087, 54570, 63437, 52077, 51541, 50799, 52077, 67566, 52708, 56087, 54570, 63437, 52077, 63962, 52753, 52282, 50461, 53496, 51748, 51821, 51748, 52398, 51748, 61627, 52708, 64466, 52753, 51090, 50461, 52606, 51748, 52582, 51748, 52252, 51748, 50799, 55013, 52244, 55013, 53184, 54205, 51973, 53955, 50882, 53216, 58465, 54205, 52559, 53955, 50911, 53216, 50911, 54133, 52057, 53761, 50882, 52525, 50882, 54133, 54134, 55013, 52284, 53761, 50882, 52525, 57674, 55013, 52741, 53761, 50911, 52525, 50911, 54205, 52163, 53859, 51090, 52077, 51090, 54133, 52937, 54133, 62923, 53496, 52720, 52582, 52720, 52072, 52720, 50799, 55013, 52244, 52685, 51090, 52708, 51090, 55013, 53184, 54205, 53300, 54205, 52559, 53955, 51090, 54570, 51090, 54133, 52057, 54133, 54134, 55013, 52284, 53859, 51541, 52077, 51541, 50447, 55013, 52741, 54205, 52163, 54133, 52937, 54133, 50808, 50799, 53859, 51427, 52077, 51090, 54205, 52244, 54205, 53184, 54133, 51973, 52685, 50911, 52708, 68350, 54133, 52559, 53955, 51427, 54570, 51090, 53190, 52057, 53190, 54134, 54205, 52284, 53859, 51090, 52077, 51090, 50447, 54205, 52741, 54133, 52163, 53286, 51496, 52753, 51496, 53190, 52937, 53190, 62923, 53496, 51748, 51821, 51748, 52398, 51748, 50799, 54097, 52244, 54097, 53184, 52696, 51973, 53859, 50911, 52077, 68350, 52696, 52559, 53286, 51090, 52753, 51090, 53190, 52057, 53190, 54134, 54097, 52284, 53859, 50911, 52077, 75476, 54097, 52741, 53286, 50911, 52753, 50911, 52696, 52163, 52685, 50911, 52708, 51427, 53190, 52937, 53190, 50808, 50799, 54306, 51111, 54135, 51100, 54685, 50817, 58233, 54024, 56845, 52302, 54862, 50817, 58233, 55747, 54862, 50817, 59143, 51973, 54306, 50805, 54135, 50849, 56845, 54396, 56845, 50817, 59143, 53974, 54862, 50817, 60601, 52674, 54306, 50910, 54135, 50897, 54862, 52676, 52525, 50882, 56845, 50817, 60601, 61032, 54306, 50846, 54135, 50828, 54862, 50817, 58233, 52284, 54306, 50805, 54135, 50849, 52525, 50882, 54862, 53851, 56845, 50817, 58233, 54721, 52490, 50805, 54048, 50849, 52525, 50911, 54862, 50817, 59143, 53532, 54862, 52193, 53178, 50805, 53377, 50849, 52077, 51496, 56845, 50817, 60601, 52937, 54862, 50817, 60601, 50859, 50799, 54916, 51111, 53178, 51100, 54685, 50817, 56091, 54024, 54685, 52302, 53355, 50817, 56091, 55747, 53355, 50817, 58957, 51973, 54916, 50805, 53178, 50849, 52708, 50911, 54685, 54396, 54685, 50817, 58957, 53974, 54570, 51090, 53355, 50817, 60601, 52674, 54916, 50910, 53178, 50897, 53355, 52676, 54685, 50817, 60601, 61032, 54916, 50846, 53178, 50828, 53355, 50817, 56091, 52284, 54916, 50910, 53178, 50897, 52077, 51090, 53355, 53851, 54685, 50817, 56091, 54721, 52999, 50805, 52293, 50849, 53355, 50817, 58957, 53532, 53355, 52193, 53185, 50805, 52960, 50849, 54685, 50817, 60601, 52937, 53355, 50817, 60601, 50859, 72014, 51111, 53377, 51100, 55537, 50817, 56091, 54024, 55537, 52302, 53714, 50817, 56091, 55747, 53714, 50817, 55452, 51973, 53178, 50805, 53377, 50849, 55537, 54396, 55537, 50817, 55452, 53974, 53714, 50817, 58957, 52674, 53178, 50910, 53377, 50897, 53714, 52676, 52077, 50911, 55537, 50817, 58957, 61032, 53178, 50846, 53377, 50828, 53714, 50817, 56091, 52284, 53178, 50805, 53377, 50849, 52525, 50911, 53714, 53851, 55537, 50817, 56091, 54721, 52293, 50805, 53776, 50849, 52077, 50882, 53714, 50817, 55452, 53532, 53714, 52193, 52960, 50805, 56820, 50849, 52077, 50911, 55537, 50817, 58957, 52937, 53714, 50817, 58957, 50859, 50799, 53185, 51111, 52960, 51100, 52753, 52282, 56256, 50817, 55087, 54024, 56256, 52302, 54427, 50817, 55087, 55747, 54427, 50817, 58957, 51973, 53185, 50805, 52960, 50849, 56256, 54396, 56256, 50817, 58957, 53974, 54427, 50817, 62700, 52674, 53185, 50910, 52960, 50897, 54427, 52676, 56256, 50817, 62700, 61032, 53185, 50846, 52960, 50828, 54427, 50817, 55087, 52284, 53185, 50805, 52960, 50849, 52077, 51427, 54427, 53851, 56256, 50817, 55087, 54721, 51874, 50805, 52595, 50849, 52753, 50911, 54427, 50817, 58957, 53532, 54427, 52193, 52556, 50805, 55058, 50849, 52708, 51090, 56256, 50817, 62700, 52937, 54427, 50817, 62700, 50859, 50799, 54306, 51111, 54135, 51100, 54685, 50817, 58233, 54024, 56845, 52302, 54862, 50817, 58233, 55879, 53868, 54862, 50817, 59143, 51973, 54306, 50805, 54135, 50849, 56845, 50898, 55001, 56845, 50817, 59143, 53974, 54862, 50817, 60601, 51858, 54248, 54306, 50910, 54135, 50897, 54862, 52676, 52525, 50882, 56845, 50817, 60601, 50859, 51956, 50441, 54306, 50846, 54135, 50828, 54862, 50817, 58233, 52284, 54306, 50805, 54135, 50849, 52525, 50882, 54862, 53851, 56845, 50817, 58233, 54721, 52490, 50805, 54048, 50849, 52525, 50911, 54862, 50817, 59143, 53532, 54862, 52193, 53178, 50805, 53377, 50849, 52077, 51496, 56845, 50817, 60601, 51858, 54603, 54862, 50817, 60601, 50859, 50799, 54916, 51111, 53178, 51100, 54685, 50817, 56091, 51052, 56572, 54685, 52302, 53355, 50817, 56091, 55879, 53868, 53355, 50817, 58957, 51973, 54916, 50805, 53178, 50849, 52708, 50911, 54685, 50898, 55001, 54685, 50817, 58957, 53974, 54570, 51090, 53355, 50817, 60601, 51858, 54248, 54916, 50910, 53178, 50897, 53355, 52676, 54685, 50817, 60601, 50859, 51956, 50441, 54916, 50846, 53178, 50828, 53355, 50817, 56091, 52284, 54916, 50910, 53178, 50897, 52077, 51090, 53355, 53851, 54685, 50817, 56091, 54721, 52999, 50805, 52293, 50849, 53355, 50817, 58957, 53532, 53355, 52193, 53185, 50805, 52960, 50849, 54685, 50817, 60601, 52937, 53355, 50817, 60601, 50859, 72014, 51111, 53377, 51100, 55537, 50817, 56091, 54024, 55537, 52302, 53714, 50817, 56091, 55879, 53868, 53714, 50817, 55452, 51973, 53178, 50805, 53377, 50849, 55537, 50898, 55001, 55537, 50817, 55452, 53974, 53714, 50817, 58957, 51858, 54248, 53178, 50910, 53377, 50897, 53714, 52676, 52077, 50911, 55537, 50817, 58957, 50859, 51956, 50441, 53178, 50846, 53377, 50828, 53714, 50817, 56091, 52284, 53178, 50805, 53377, 50849, 52525, 50911, 53714, 53851, 55537, 50817, 56091, 54721, 52293, 50805, 53776, 50849, 52077, 50882, 53714, 50817, 55452, 53532, 53714, 52193, 52960, 50805, 56820, 50849, 52077, 50911, 55537, 50817, 58957, 51858, 54603, 53714, 50817, 58957, 50859, 50799, 53185, 51111, 52960, 51100, 52753, 52282, 56256, 50817, 55087, 51052, 56572, 56256, 52302, 54427, 50817, 55087, 55879, 53868, 54427, 50817, 58957, 51973, 53185, 50805, 52960, 50849, 56256, 50898, 55001, 56256, 50817, 58957, 53974, 54427, 50817, 62700, 51858, 54248, 53185, 50910, 52960, 50897, 54427, 57776, 50770, 50319, 52282, 50438, 56256, 50817, 62700, 50859, 51956, 50441, 53185, 50846, 52960, 50828, 54427, 50817, 55087, 52284, 53185, 50805, 52960, 50849, 52077, 50911, 54427, 51759, 54492, 56256, 50817, 55087, 54721, 51874, 50805, 52595, 50849, 52753, 50911, 54427, 50817, 58957, 51052, 55423, 54427, 52193, 52556, 50805, 55058, 50849, 52708, 50911, 56256, 50817, 62700, 51858, 54603, 54427, 50817, 62700, 50859, 72014, 50805, 53377, 53834, 52885, 53403, 50816, 60480, 50816, 63501, 50816, 50884, 51694, 53230, 51456 ]
[ 0, 713, 20425, 8, 15352, 30054, 3495, 3152, 2214, 6, 278, 11, 163, 3694, 6, 1575, 10, 20902, 11739, 9, 38668, 3038, 6, 32909, 6, 3152, 6757, 6, 1076, 560, 31365, 25999, 6, 8, 31391, 1672, 9590, 4, 590, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 20, 33215, 16739, 9, 1918, 1176, 406, 6, 163, 119, 406, 6, 230, 10431, 119, 406, 6, 8, 211, 119, 1176, 406, 3639, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 76501, 69142, 50971, 57523, 72584, 56452, 50857, 58598, 76690, 56170, 59012, 55017, 62603, 55209, 50836, 54609, 62267, 53455, 53173, 52949, 59567, 53503, 50884, 52301, 60427, 51914, 56046, 51953, 50949, 51859, 65493, 51676, 50949, 51617, 59363, 51982, 50921, 53426, 51021, 53329, 52024, 52328, 53501, 54488, 50855, 56682, 51460, 52055, 50875, 53045, 56075, 52093, 53321, 54303, 62534, 67335, 52165, 50809, 51323, 50828, 52400, 50887, 52232, 53229, 54069, 71786, 52165, 62194, 51693, 51323, 51306, 52232, 50840, 52400, 56428, 51539, 52523, 52639, 52287, 51642, 51818, 76998, 54497, 52539, 55569, 54883, 51023, 51178, 71167, 52165, 50808, 51323, 50870, 52400, 50904, 52232, 50907, 52232, 50808, 52400, 50800, 51323, 51110, 57718, 50431, 51844, 54342, 71167, 52165, 67135, 51693, 52232, 50941, 52400, 50904, 52232, 50808, 52400, 59661, 51005, 53836, 54986, 71167, 52165, 50855, 52400, 50836, 52232, 55027, 51987, 54114, 75109, 51208, 50937, 51403, 50865, 51844, 51255, 52232, 50912, 52400, 50912, 51746, 50917, 51770, 50924, 51245, 50849, 51323, 52482, 66752, 53045, 52748, 56432, 52232, 50912, 52400, 56205, 53384, 51023, 72855, 50840, 52165, 50928, 51323, 50835, 52400, 50908, 52232, 50809, 52400, 51000, 52232, 50912, 58081, 55354, 51746, 51376, 51770, 51006, 51245, 51074, 50913, 52499, 53003, 75109, 51208, 50805, 51403, 50805, 51818, 51481, 52287, 51079, 51245, 50849, 68663, 51770, 51370, 54617, 53301, 51987, 58207, 51323, 51129, 52400, 51693, 52232, 57258, 65496, 71223, 51023, 50959, 51385, 54618, 52165, 50912, 52400, 50851, 51323, 50955, 52232, 54146, 50852, 52823, 54943, 51245, 51074, 51746, 51079, 51770, 50972, 50913, 52523, 51004, 56682, 51388, 52723, 50875, 51987, 52465, 56933, 52400, 52101, 51323, 52167, 52232, 54618, 50920, 54213, 69963, 52165, 50828, 52400, 50846, 52232, 55718, 54579, 51023, 50851, 71167, 52165, 50808, 51323, 50827, 52232, 50808, 52400, 52085, 52523, 75730, 58139, 79107, 52165, 50829, 52232, 50839, 52400, 54617, 53301, 52499, 59741, 50852, 54956, 51023, 50845, 71167, 52165, 50808, 52400, 50863, 52232, 51123, 52232, 50808, 52400, 50800, 51323, 73558, 53670, 71167, 52165, 50886, 51844, 51100, 52400, 50867, 51323, 52101, 52232, 50912, 52232, 50808, 52400, 54784, 53067, 58406, 68329, 62744, 51385, 50840, 52165, 50886, 52232, 50928, 52400, 51004, 51323, 50836, 52232, 50809, 52400, 54738, 51987, 52958, 51020, 51376, 51208, 50917, 51403, 50865, 51957, 51354, 52287, 50972, 51818, 51172, 52232, 50912, 52400, 50912, 51245, 51254, 51746, 50938, 51770, 50924, 51323, 51387, 52055, 50875, 51987, 52748, 54905, 52400, 51319, 52232, 54419, 53384, 66945, 51385, 50840, 52165, 50840, 51323, 51000, 51323, 50867, 52232, 50941, 52232, 50809, 52400, 51319, 52400, 51421, 53045, 55354, 52165, 50837, 52400, 50825, 51245, 57070, 51746, 51254, 51770, 51174, 50913, 52499, 61340, 51020, 51376, 51208, 50830, 51403, 50952, 51374, 51048, 51746, 50952, 51770, 50940, 51245, 62316, 53479, 54497, 52823, 69232, 51457, 51172, 51981, 51423, 50453, 51323, 51851, 52232, 50941, 52400, 50941, 64695, 53555, 52400, 79348, 52539, 54943, 51746, 51051, 51770, 51008, 51245, 57070, 50913, 52291, 50863, 56682, 50980, 52055, 50875, 52786, 64565, 50791, 50883, 75062, 62534, 51385, 50839, 52165, 50846, 51323, 50828, 52232, 50841, 52400, 52079, 54579, 60943, 71786, 52165, 50836, 51323, 50862, 52232, 50840, 52400, 51582, 52535, 52291, 52966, 52287, 51006, 53212, 50875, 53045, 56502, 59741, 51818, 56552, 72314, 67335, 52165, 50808, 51323, 50891, 52232, 50891, 52400, 50837, 52232, 50812, 52400, 50800, 51323, 60684, 53196, 51385, 50844, 52165, 50855, 51844, 50795, 51323, 51126, 52232, 50941, 52400, 50836, 52232, 50810, 52400, 56104, 51041, 52823, 54986, 51023, 50857, 71786, 52165, 50886, 64895, 52232, 50840, 52400, 54738, 53107, 53115, 51020, 50805, 51208, 50865, 51403, 50917, 51844, 50967, 52232, 50984, 52400, 50912, 51746, 50924, 51770, 50938, 57285, 51323, 51074, 52723, 50875, 53045, 53796, 54704, 52400, 50971, 52232, 63130, 53384, 66945, 71786, 52165, 50829, 52400, 50834, 51323, 51128, 51323, 50867, 52232, 50941, 52232, 50840, 52400, 51851, 56526, 55354, 51746, 51174, 51770, 51254, 51245, 51079, 50913, 52291, 53003, 75109, 51208, 50917, 51403, 50865, 51818, 50972, 52287, 51079, 51746, 50938, 51770, 50924, 51245, 53888, 51392, 52755, 52539, 55423, 52400, 51004, 51323, 51851, 52232, 50941, 62023, 53556, 51023, 51123, 52165, 50837, 71166, 52400, 50825, 51323, 50984, 52232, 52227, 52793, 54943, 51746, 51376, 51770, 51174, 51245, 51074, 50913, 52523, 51004, 56682, 50923, 52723, 50875, 52539, 52348, 54639, 52400, 51306, 51323, 52462, 52232, 57831, 67945, 52067, 53299, 51385, 50846, 52165, 50818, 56281, 50880, 52232, 50818, 52400, 50884, 51898, 50880, 52148, 53914, 50846, 51667, 76255, 52067, 50857, 52148, 56076, 51023, 50862, 66748, 52165, 50812, 56281, 50809, 51323, 50855, 52232, 50836, 52400, 50808, 51898, 54766, 52223, 53045, 50928, 51667, 63750, 52067, 54156, 56281, 50890, 51898, 50811, 52148, 54332, 54497, 52539, 55623, 50837, 51667, 59974, 52165, 66271, 50873, 67335, 56281, 50809, 52232, 50837, 52400, 50825, 52232, 50812, 52400, 50808, 66710, 52067, 50809, 51898, 50812, 52148, 56691, 50891, 51667, 60426, 51844, 50917, 56281, 54334, 71166, 52165, 50854, 51323, 51000, 52232, 50971, 52232, 50800, 52400, 50907, 52400, 50833, 52067, 51010, 51898, 50811, 52148, 52259, 51041, 52539, 50846, 51667, 57535, 52148, 54496, 52165, 50813, 51385, 59869, 50941, 56281, 50895, 51323, 50904, 52232, 50840, 52400, 50862, 52067, 50962, 51898, 54853, 52523, 50908, 51667, 65582, 58437, 55622, 51020, 50805, 51208, 76674, 50795, 51957, 51354, 51818, 51753, 52287, 51079, 52232, 50907, 52400, 50907, 57285, 51323, 51074, 51746, 50879, 51770, 50879, 53147, 50811, 53084, 51052, 54534, 54016, 52786, 50891, 52135, 59071, 52298, 55092, 52232, 50912, 52400, 66048, 53594, 60943, 69473, 52165, 50862, 56281, 50962, 51323, 52514, 51323, 50862, 52232, 50971, 52400, 51128, 52400, 50855, 52232, 50833, 78287, 51898, 50811, 52148, 51156, 51987, 50846, 51667, 65866, 51245, 50972, 51746, 50972, 51770, 50972, 50913, 52499, 54044, 67140, 51208, 50865, 51403, 50830, 51374, 51290, 57745, 51460, 51245, 50977, 51746, 50924, 51770, 50924, 51866, 51812, 51392, 52373, 52793, 69232, 51617, 51933, 53329, 52570, 51981, 51309, 51457, 51642, 51579, 51066, 52039, 50823, 51652, 58615, 51323, 51126, 52400, 51000, 52232, 51123, 64272, 61021, 52334, 50886, 51702, 50818, 51831, 54583, 51403, 50825, 51770, 50835, 52384, 56691, 53934, 57430, 53808, 50841, 52058, 50841, 52376, 61996, 53689, 50834, 54595, 50828, 51947, 50839, 52457, 54991, 51245, 52192, 51746, 51174, 51770, 51174, 58313, 50841, 52339, 50834, 53093, 52543, 52499, 50928, 52832, 59652, 57350, 50839, 54641, 56834, 60671, 50839, 53266, 50835, 55066, 50837, 56724, 50863, 56682, 51460, 61715, 50820, 79811, 50834, 53456, 54880, 53301, 53045, 62249, 50961, 58982, 57392, 52949, 50937, 65015, 51464, 50828, 65700, 78666, 70824, 50829, 65576, 61252, 51770, 55756, 54303, 62534, 67335, 52165, 50833, 51323, 50828, 52232, 50812, 52400, 53229, 54069, 73071, 71167, 52165, 50812, 51323, 50810, 52232, 50808, 52400, 55027, 51539, 52523, 52639, 52165, 50825, 52400, 54518, 54497, 52539, 55569, 57334 ]
[ 0, 250, 1144, 26016, 3495, 2214, 14, 19369, 5, 4780, 9, 1619, 6, 5378, 16364, 19, 11098, 8, 657, 4, 20, 7212, 20889, 8, 204, 73, 306, 86, 6543, 1045, 10, 32625, 13569, 9862, 6, 150, 5, 6755, 12547, 6, 13305, 6, 21979, 8, 3459, 29589, 6, 8, 856, 17993, 35810, 561, 10, 5797, 990, 1506, 9, 17627, 17274, 34879, 4, 8504, 11, 5, 762, 9, 163, 538, 6, 5, 2214, 1575, 10, 16331, 33215, 16739, 9, 3676, 1176, 406, 6, 274, 10431, 6, 8, 163, 6, 1271, 7, 63, 33558, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 53028, 50981, 51544, 50981, 51570, 59242, 51326, 52743, 51326, 50967, 55524, 51191, 50965, 51191, 51086, 51191, 51315, 51413, 51493, 51343, 74077, 51060, 51217, 55157, 51016, 51206, 60726, 71346, 51060, 51042, 59218, 52580, 70731, 51060, 66588, 50868, 53677, 50943, 77569, 51042, 63096, 51573, 50432, 51493, 50893, 55233, 64539, 53071, 50893, 52066, 63809, 51191, 51040, 51191, 50916, 51191, 51279, 51103, 51216, 51356, 50946, 50983, 51230, 50966, 51343, 50444, 71346, 63296, 51060, 71330, 63224, 50868, 54572, 50943, 73132, 60104, 50903, 51573, 50456, 59829, 63296, 50830, 52066, 50461, 51503, 51413, 53975, 51191, 51176, 51191, 50956, 51351, 51522, 51343, 51396, 59564, 51016, 52068, 50420, 70731, 57680, 59218, 52580, 50979, 56792, 54180, 50943, 51396, 66061, 63096, 51573, 50431, 53546, 69467, 51522, 62773, 54070, 50893, 52066, 50437, 50965, 51413, 59419, 51189, 51040, 51189, 51360, 51103, 51868, 51356, 52540, 50918, 51230, 50966, 51343, 50444, 61991, 51060, 51017, 50983, 71330, 55818, 55787, 51112, 50992, 51112, 50992, 50981, 51017, 51003, 60104, 50903, 51573, 74330, 56310, 51191, 50916, 51189, 51040, 51218, 51279, 51103, 51216, 51343, 74077, 50795, 51688, 54805, 51016, 52068, 50419, 71346, 51060, 67653, 66009, 63074, 51017, 64002, 70731, 51060, 50868, 54572, 50943, 51017, 51241, 50868, 51241, 50903, 51573, 50432, 51705, 50893, 55818, 50983, 50946, 54070, 50893, 73208, 51086, 51241, 50956, 51191, 50989, 51241, 51324, 51103, 51668, 51356, 51791, 51091, 51230, 50966, 51343, 50444, 51042, 51477, 52066, 50449, 50761, 50307, 52728, 50979, 50991, 50944, 51048, 50979, 50943, 73904, 50944, 63096, 51573, 74330, 51621, 55971, 50761, 50307, 50854, 57551, 51591, 50916, 51591, 50965, 51790, 51086, 51518, 51493, 51343, 51217, 55157, 51016, 52068, 50416, 74077, 71785, 51042, 52201, 52580, 71103, 63060, 50868, 51218, 50992, 51218, 51042, 51417, 50903, 51573, 50432, 51493, 76107, 53071, 50893, 73208, 51668, 51016, 51791, 51291, 51230, 50966, 51343, 50444, 51042, 50938, 71330, 52659, 77758, 65102, 53677, 50943, 77569, 51042, 63096, 51573, 50456, 51042, 50865, 52066, 50799, 51846, 60973, 63403, 51191, 51086, 51191, 51315, 51413, 51493, 51356, 51217, 59564, 51343, 52068, 64308, 50976, 51042, 59218, 52580, 51311, 50976, 63060, 66588, 73948, 50992, 51056, 51042, 63096, 51573, 50432, 51317, 50824, 51042, 51049, 53269, 50916, 61915, 51191, 51040, 51241, 51279, 51103, 51216, 51356, 51688, 50983, 51230, 50966, 51343, 50444, 51131, 62988, 51060, 71330, 63060, 51017, 54572, 50943, 60104, 51017, 51241, 50903, 51573, 50456, 52028, 62988, 51049, 50851, 57126, 51662, 50973, 51518, 50956, 51518, 51324, 51894, 51668, 51356, 51791, 59564, 51343, 52068, 50420, 51846, 50948, 51042, 52201, 52580, 50944, 59897, 50830, 50935, 63096, 51573, 50432, 51042, 51370, 53269, 51668, 51356, 51125, 51393, 50291, 50983, 51230, 50966, 51343, 50444, 51042, 68855, 51121, 71330, 66484, 63138, 51042, 63096, 51573, 50456, 51574, 50976, 51042, 50865, 52066, 50799, 51846, 60973, 51189, 51086, 51218, 50965, 51189, 51315, 51103, 51493, 51356, 51217, 55157, 51343, 52068, 64308, 62858, 52808, 52580, 51311, 65101, 50830, 63060, 60104, 77569, 51042, 51241, 50903, 51573, 50432, 51317, 50824, 51042, 51049, 64704, 51279, 51103, 60496, 51191, 51040, 51191, 50916, 51191, 51216, 51356, 51688, 50983, 51230, 50966, 51343, 50444, 51131, 62988, 50805, 71330, 63060, 51017, 54572, 50943, 60104, 51017, 51241, 50903, 51573, 50456, 51136, 51795, 50946, 51049, 50851, 58066, 51189, 50989, 51591, 50973, 51591, 50956, 51591, 51668, 51356, 51791, 59564, 51343, 52068, 50420, 51042, 59218, 63074, 59829, 63559, 50979, 63538, 50830, 50979, 51218, 51042, 51417, 50944, 51417, 50903, 51573, 50427, 50979, 54372, 53546, 65224, 50830, 73208, 51668, 51356, 55715, 51295, 51791, 50983, 51230, 50966, 51343, 50444, 51042, 51044, 53567, 66484, 63138, 50944, 66061, 50943, 51042, 51241, 50903, 51573, 50455, 63718, 54424, 51574, 50975, 51042, 50865, 52066, 50458, 54269, 64098, 50916, 51191, 50965, 51191, 51086, 51189, 63718, 51127, 50799, 51846, 50802, 51315, 51103, 51493, 51356, 51217, 59564, 51343, 52068, 64308, 50976, 51042, 64532, 52580, 51311, 50976, 50868, 67231, 65102, 51056, 50992, 51056, 51042, 63096, 51573, 50432, 51317, 50824, 51042, 51049, 64704, 55233, 51103, 60496, 51191, 50916, 51189, 51040, 51189, 51279, 51103, 51216, 51356, 51688, 50918, 51230, 50966, 51343, 50444, 51131, 62988, 51370, 53567, 51017, 53677, 53677, 51056, 71047, 51017, 63096, 51573, 50456, 51136, 62988, 50865, 52066, 53975, 51191, 50965, 51191, 50956, 51241, 51503, 51127, 51522, 51343, 70731, 50914, 51396, 55157, 51343, 52068, 50420, 51846, 57513, 53710, 52580, 55540, 50915, 50979, 56792, 61009, 51056, 50885, 51056, 50979, 61737, 51573, 50432, 78453, 51522, 62773, 50865, 73208, 51360, 63403, 51191, 50916, 51189, 51040, 51413, 51868, 51356, 63913, 50915, 52540, 50918, 51230, 50966, 51343, 50444, 51317, 50976, 51017, 50983, 52066, 50449, 50992, 52728, 51311, 50802, 51324, 50914, 74077, 51486, 79493, 73132, 60104, 50992, 63096, 51573, 50456, 51846, 51331, 50851, 65962, 50975, 50916, 51189, 50877, 51189, 51040, 51413, 51279, 51103, 51216, 51343, 51688, 54805, 51343, 52068, 50420, 52028, 50976, 50946, 70096, 52580, 51846, 70620, 53677, 53677, 50943, 71047, 51017, 63096, 51573, 50432, 51311, 51029, 51705, 66341, 50830, 52066, 50437, 71346, 80179, 50973, 51191, 50956, 51189, 50989, 51189, 51324, 51103, 51668, 51356, 51791, 50983, 51230, 50966, 51343, 50444, 51042, 51060, 71330, 51311, 50976, 66484, 63138, 50979, 50943, 67766, 51042, 51241, 50903, 51573, 50456, 51846, 50993, 51042, 50833, 52066, 55524, 51894, 50965, 51945, 51086, 51945, 51315, 51894, 51493, 51343, 51217, 55157, 51016, 52068, 50417, 52028, 54718, 51574, 51675, 70731, 63243, 57154, 53591, 55233, 50897, 60454, 70731, 59243, 50830, 63060, 50868, 51241, 50992, 51241, 51042, 51241, 50903, 51573, 50432, 51493, 50893, 55818, 63243, 51730, 50893, 52066, 50435, 61991, 52841, 51668, 51016, 55818, 51103, 51791, 51091, 51230, 50966, 51343, 50444, 51042, 53934, 50938, 50449, 54872, 56697, 52659, 75736, 56792, 53677, 50943, 77569, 51042, 51241, 51465, 51423, 50903, 51573, 52066, 50455, 52326, 77228, 51042, 50809, 51719, 51328, 52066, 50799, 51846, 60973, 51800, 50303, 51241, 50965, 51191, 51315, 51103, 51493, 51356, 51217, 50983, 53008, 51009, 51465, 51477, 52571, 51477, 51651, 78813, 51356, 50856, 51419, 64308, 62858, 64532, 52580, 51311, 65101, 50865, 50868, 59687, 50943, 60104, 50992, 63096, 51573, 50432, 51317, 50824, 51042, 51049, 53269, 50877, 51191, 50916, 51191, 51040, 51218, 51279, 51103, 51216, 51356, 51688, 50983, 51664, 51009, 51249, 51542, 51465, 51542, 52102, 51542, 52326, 51244, 51230, 50966, 51343, 50444, 51131, 62988, 51370, 53567, 63060, 51017, 53006, 51056, 51017, 50981, 60104, 50903, 51573, 50455, 50965, 53268, 52028, 62988, 50865, 52066, 56178, 51692, 50989, 51518, 51086, 51894, 51324, 51307, 51668, 51343, 51791, 50983, 51912, 51184, 51719, 51939, 51672, 51939, 51687, 51939, 52571, 79780, 51016, 52068, 50420, 51846, 76107, 60596, 52580, 66484, 63138, 50979, 51318, 50944, 51318, 51042, 51477, 50903, 51573, 50432, 51668, 76107, 51730, 50893, 73208, 51378, 50802, 51668, 51356, 51791, 50918 ]
[ 0, 250, 765, 15855, 2125, 19, 10, 25306, 619, 6, 42, 15229, 1931, 21683, 10, 19448, 8, 5679, 26709, 13569, 9862, 6, 1969, 13, 5, 1619, 191, 4, 8504, 11, 5, 762, 9, 2060, 538, 8, 1375, 23, 10, 7212, 20889, 6, 24, 1575, 10, 24897, 3222, 5785, 227, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 1893, 43639, 6, 8, 31391, 1672, 9590, 4, 20, 86, 6543, 9, 112, 73, 306, 3639, 10, 2216, 41063, 15796, 7510, 7, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50628, 52274, 51034, 51360, 51677, 54978, 51896, 54978, 51896, 53805, 51592, 53805, 51592, 51957, 51790, 66650, 51452, 51846, 51591, 51846, 51591, 61104, 51145, 50956, 51145, 50871, 51080, 51317, 51080, 51317, 51080, 51136, 51080, 51136, 51080, 50970, 51447, 50970, 51447, 50443, 57249, 51014, 57249, 77572, 54978, 50952, 54978, 50952, 50449, 57355, 52311, 57355, 52311, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51692, 66650, 51742, 51846, 51680, 51846, 51680, 61104, 51448, 50956, 51448, 50989, 51448, 51317, 51627, 51317, 51627, 51136, 51627, 51136, 51627, 51078, 51627, 51078, 51627, 50442, 57454, 50936, 57454, 50936, 50445, 57355, 51021, 57355, 51021, 50448, 54978, 50914, 54978, 50914, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51692, 66650, 51103, 51846, 51183, 51846, 51183, 50425, 57249, 51226, 57249, 51226, 61104, 51677, 50956, 51677, 71578, 50970, 51080, 50970, 51080, 51317, 51592, 51317, 51592, 51136, 51592, 51136, 51592, 50438, 60530, 51013, 60530, 51013, 51034, 51503, 51677, 57249, 51294, 57249, 51294, 58999, 51592, 58999, 51592, 54457, 51790, 50420, 51197, 51535, 52562, 52598, 52562, 52598, 70562, 51310, 51040, 51337, 50956, 51244, 66964, 51124, 66964, 51124, 51317, 52059, 51317, 52059, 51846, 51283, 51846, 51283, 51136, 51703, 51136, 51703, 55203, 51391, 50986, 51961, 50986, 51961, 51602, 51003, 50439, 66964, 50943, 66964, 50943, 51034, 51360, 51677, 54978, 51896, 54978, 51896, 53805, 51592, 53805, 51592, 51957, 51486, 66650, 51790, 51846, 51790, 51846, 51790, 61104, 51244, 50956, 51244, 50871, 51080, 50970, 51447, 50970, 51447, 51317, 51703, 51317, 51703, 51136, 51703, 51136, 51703, 50442, 57249, 50921, 57249, 50921, 50445, 54978, 50952, 54978, 50952, 50448, 57355, 51896, 57355, 51896, 51034, 51360, 51592, 53805, 52431, 53805, 52431, 51957, 51486, 66650, 51790, 51846, 51790, 51846, 51790, 61104, 51145, 50956, 51145, 50989, 51145, 51317, 51080, 51317, 51080, 51136, 51080, 51136, 51080, 51078, 51080, 51078, 51080, 50443, 57454, 50936, 57454, 50936, 50445, 57355, 50924, 57355, 50924, 50448, 54978, 51204, 54978, 51204, 51034, 51360, 50839, 51360, 51677, 53805, 50829, 53805, 50829, 53805, 51592, 53805, 51592, 51957, 51562, 66650, 51790, 51846, 51790, 51846, 51790, 61104, 51244, 50956, 51244, 50871, 51080, 57249, 51013, 57249, 51013, 50970, 51447, 50970, 51447, 51317, 51703, 51317, 51703, 51136, 51703, 51136, 51703, 50438, 60530, 51204, 60530, 51204, 51957, 51003, 51034, 51503, 51592, 57249, 51896, 57249, 51896, 58999, 52431, 58999, 52431, 51602, 51790, 50420, 51197, 51677, 52562, 51592, 52562, 67778, 51176, 79304, 61579, 50981, 50986, 51330, 50986, 51330, 51136, 50932, 51136, 50932, 51846, 51148, 51846, 65680, 51040, 51351, 50871, 51351, 51317, 51419, 51317, 51419, 50970, 51419, 50970, 51419, 54457, 51159, 51034, 51966, 51486, 54899, 51358, 54899, 51358, 68643, 51692, 68643, 51692, 56258, 54994, 51360, 51803, 53805, 52980, 53805, 52980, 50426, 51378, 51183, 50997, 51183, 51040, 51145, 50989, 51183, 52028, 51148, 52028, 51148, 51078, 51080, 51078, 51080, 51246, 51148, 51246, 51148, 51317, 51080, 51317, 51080, 55827, 50914, 50442, 57454, 50865, 57454, 70425, 54899, 50830, 54899, 50830, 50448, 57454, 50983, 57454, 50983, 74968, 51790, 58397, 51803, 58397, 51803, 51132, 51692, 60284, 51790, 51504, 51790, 51504, 51790, 50425, 60530, 51346, 60530, 51346, 70562, 51145, 51040, 51145, 50871, 51183, 50970, 51148, 50970, 51148, 51846, 51080, 51846, 51080, 51317, 51080, 51317, 51080, 50439, 60530, 51055, 60530, 51055, 51034, 51966, 51742, 54899, 51896, 54899, 51896, 68643, 51680, 68643, 51680, 56258, 65516, 51378, 51183, 52028, 51148, 52028, 51148, 56759, 51148, 51040, 51145, 50989, 51145, 51246, 51490, 51246, 51490, 51317, 51080, 51317, 51080, 51078, 51080, 51078, 51080, 51640, 51183, 50443, 53862, 50800, 53862, 57295, 54899, 50938, 54899, 50938, 74968, 51183, 57454, 51486, 57454, 51486, 58397, 51148, 58397, 51148, 51132, 51692, 60284, 51448, 51504, 52263, 51504, 52263, 70562, 51310, 50871, 51310, 51040, 51448, 51846, 51965, 51846, 51965, 50970, 51965, 50970, 51965, 51317, 52263, 51317, 52263, 50438, 51247, 50943, 58397, 50915, 58397, 50915, 72316, 51677, 57355, 51685, 57355, 51685, 52562, 52431, 52562, 52431, 51533, 51486, 56363, 51692, 51246, 51692, 51246, 51692, 61104, 51244, 50989, 51145, 50906, 51145, 51064, 51080, 51064, 51080, 51078, 51080, 51078, 51080, 51317, 51703, 51317, 51703, 50442, 57454, 50921, 57454, 62888, 57355, 50921, 57355, 50921, 50449, 54978, 51204, 54978, 51204, 68792, 51680, 53271, 52783, 53271, 52783, 51526, 51486, 60284, 51790, 51504, 51790, 51504, 51790, 61104, 68026, 51183, 50965, 51145, 57249, 51013, 57249, 51013, 51317, 51447, 51317, 51447, 50970, 51183, 50970, 51183, 51169, 51080, 51169, 60934, 60530, 51055, 60530, 51055, 50449, 57249, 54300, 57249, 54300, 51034, 51324, 51592, 53092, 52431, 53092, 52431, 51910, 51486, 50420, 51378, 51452, 52028, 51591, 52028, 51591, 71241, 51680, 50997, 51742, 51040, 51183, 50956, 51145, 51317, 51148, 51317, 51148, 51136, 51447, 51136, 51447, 51246, 51680, 51246, 51680, 51078, 52783, 51078, 52783, 51034, 51503, 51677, 58999, 52431, 58999, 52431, 51602, 64739, 51197, 51803, 52562, 51803, 52562, 51803, 50426, 51378, 51145, 51040, 65227, 51145, 50989, 51080, 51317, 50995, 51317, 50995, 52028, 51080, 52028, 51080, 51136, 51080, 51136, 51080, 51078, 51447, 51078, 51447, 55203, 51255, 77465, 77465, 54457, 50914, 51034, 51360, 51692, 53805, 51592, 53805, 51592, 51957, 51486, 53599, 52250, 50415, 54157, 51358, 54157, 51358, 51201, 52168, 51690, 52168, 66650, 51452, 51846, 51591, 51846, 51591, 61104, 51145, 50956, 51145, 71578, 51317, 51080, 51317, 51080, 51136, 51080, 51136, 51080, 50970, 51447, 50970, 51447, 50443, 54542, 50859, 54542, 50859, 78805, 51811, 62182, 54157, 50952, 54157, 50952, 51201, 50933, 51690, 69945, 57794, 51358, 57794, 51358, 51600, 52168, 52405, 52168, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51623, 66650, 51677, 51846, 51592, 51846, 51592, 61104, 51448, 50956, 51448, 50989, 51448, 51317, 51627, 51317, 51627, 51136, 51627, 51136, 51627, 51078, 51627, 51078, 51627, 50442, 57436, 50830, 57436, 50830, 51629, 51051, 52838, 68982, 51602, 51111, 50445, 57794, 50800, 57794, 50800, 51600, 50851, 52405, 70635, 54157, 51204, 54157, 51204, 51201, 51961, 51690, 51961, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51591, 66650, 51103, 51846, 51183, 51846, 51183, 61104, 51677, 50956, 51677, 71578, 54542, 51013, 54542, 51013, 50970, 51080, 50970, 51080, 51317, 51592, 51317, 51592, 51136, 51592, 51136, 51592, 51395, 50932, 51811, 54498, 56841, 51204, 56841, 51204, 51488, 51961, 51905, 51961, 50444, 51957, 50795, 51034, 51503, 51677, 58999, 51592, 58999, 51592, 51602, 51291, 53623, 51422, 50415, 54542, 50807, 54542, 50807, 51395, 51108, 51811, 67142, 51197, 51662, 52562, 52528, 52562, 52528, 50421, 55872, 54335, 51176, 51145, 51040, 51642, 50956, 51145, 57454, 50805, 57454, 50805, 51317, 52059, 51317, 52059, 51846, 51080, 51846, 51080, 51136, 51703, 51136, 51703, 51375, 51079, 51629, 51079, 50427, 52849, 54342, 53314, 53264, 50900, 51381, 57454, 50889, 57454, 50889, 50986, 51961, 50986, 51961, 51602, 50914, 51375, 51330 ]
[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 33558, 1619, 2214, 11, 163, 428, 538, 1575, 41, 21979, 8669, 8, 13305, 981, 5, 33301, 6, 2800, 30, 21072, 6, 10, 6755, 12547, 6, 8, 41, 3459, 9590, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 149, 10, 33215, 13931, 9, 163, 428, 6, 274, 73, 250, 6, 12608, 73, 534, 6, 8, 274, 73, 347, 6, 2351, 10, 33928, 8, 15352, 30054, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50454, 50909, 51175, 51298, 51215, 52138, 50967, 56622, 50967, 75696, 51215, 51298, 50967, 52138, 51175, 56622, 51215, 50422, 50935, 51175, 51007, 51215, 52548, 51095, 54039, 51215, 50430, 50939, 50967, 51125, 51095, 52403, 50967, 54696, 70149, 51325, 51364, 51512, 51157, 51153, 51091, 51639, 51446, 52381, 51977, 50992, 51364, 50909, 51364, 52238, 51364, 52138, 51343, 51711, 52122, 52340, 52250, 53188, 52250, 75771, 52990, 53806, 50856, 53533, 51512, 51655, 50903, 52990, 66468, 53173, 51105, 51285, 51153, 51264, 50992, 51554, 50324, 50879, 71012, 50884, 76571, 51077, 50909, 50918, 51257, 51356, 52238, 51336, 52138, 51336, 57556, 51336, 50856, 53829, 51639, 52382, 56639, 50895, 51302, 52990, 52209, 51105, 50948, 52381, 51161, 50856, 52565, 51325, 51496, 76035, 52210, 50856, 61312, 50909, 50967, 51298, 51095, 52138, 51175, 56622, 64949, 51512, 51977, 50903, 53390, 66468, 57297, 50909, 51095, 51298, 50967, 52138, 51215, 56622, 58760, 51105, 51274, 51153, 51446, 71012, 50846, 75696, 51215, 51298, 51095, 52138, 51175, 56622, 51215, 50856, 52432, 52381, 50991, 71012, 56493, 50939, 50967, 51007, 51175, 52403, 51175, 54039, 59204, 51325, 52420, 51920, 63248, 50992, 51175, 50909, 51095, 52238, 50967, 52138, 58443, 51186, 62417, 53418, 51105, 51496, 51099, 51204, 51308, 51446, 51639, 51605, 74648, 50939, 50983, 51439, 51141, 52403, 51141, 52340, 51359, 52137, 51264, 52735, 51307, 56639, 52210, 69773, 51955, 52990, 66468, 53268, 51186, 52195, 51099, 51472, 50847, 51554, 50323, 50893, 71012, 50846, 64170, 51077, 51298, 50918, 51439, 51077, 56622, 50918, 50856, 53576, 51308, 51977, 71012, 72247, 53390, 53230, 51186, 51030, 51099, 66435, 54292, 51105, 51362, 51099, 50938, 51308, 51364, 51639, 51294, 52340, 51183, 52137, 51127, 52735, 51103, 56639, 53806, 51099, 51294, 50856, 53533, 51308, 51175, 50903, 53498, 75151, 52738, 51096, 51030, 51639, 50865, 50847, 60771, 51554, 50323, 50805, 52403, 50879, 52137, 50893, 52735, 51428, 54973, 50895, 55194, 51286, 51494, 50805, 80064, 51153, 62289, 50967, 51298, 51095, 52138, 50967, 56622, 51215, 53129, 51127, 52430, 51103, 52626, 51215, 52626, 51241, 54339, 72875, 54031, 56639, 60480, 51213, 58149, 51175, 51298, 51215, 52138, 50967, 56622, 51215, 52626, 51134, 54339, 51233, 50423, 51494, 50879, 63439, 79870, 51302, 57979, 53390, 57318, 50909, 51175, 51298, 51175, 52138, 51095, 56622, 51175, 52626, 51215, 54339, 51110, 50431, 51213, 51173, 51494, 50924, 51119, 50948, 51153, 57943, 51289, 53237, 50846, 53357, 51364, 51144, 51112, 51512, 51091, 51153, 51472, 50939, 51364, 51007, 51364, 52403, 51364, 54039, 51364, 52036, 51127, 53188, 51077, 52735, 51141, 52626, 51790, 52886, 51141, 76650, 53390, 53239, 50856, 53409, 51144, 51161, 50903, 51920, 79470, 53173, 50964, 51343, 51512, 51623, 50872, 56792, 50805, 51257, 50805, 52238, 50893, 52036, 51591, 53188, 51351, 56639, 50884, 76571, 51175, 50909, 50967, 52238, 50967, 52138, 50967, 53188, 51241, 52626, 51091, 50856, 52432, 51153, 51362, 76035, 60170, 50992, 51215, 50909, 50967, 52238, 51175, 52138, 50967, 53188, 51134, 52626, 51294, 50426, 50945, 55404, 53390, 63519, 50992, 50967, 50909, 51215, 52238, 51095, 52138, 51095, 53188, 51233, 52626, 70192, 66979, 50856, 53442, 51096, 51362, 51144, 51157, 51308, 51036, 51275, 51623, 50872, 51343, 50939, 50983, 51257, 50983, 52403, 51364, 52036, 51218, 52036, 51127, 53188, 51623, 52735, 51218, 52735, 51991, 76035, 53239, 50856, 53409, 51144, 51345, 50903, 53498, 66468, 52881, 50945, 51552, 51639, 51116, 50872, 50795, 51257, 50893, 52036, 51675, 62393, 50846, 62673, 51141, 50992, 50967, 50909, 51095, 52238, 51215, 52138, 51175, 53188, 51183, 52626, 51233, 50856, 52432, 51275, 50889, 71012, 61710, 68823, 50939, 50967, 51439, 51215, 52403, 50967, 52137, 50967, 52735, 51351, 50426, 51096, 55404, 53498, 59971, 50872, 51215, 50992, 51175, 51257, 51095, 52238, 51095, 52036, 51110, 53188, 74257, 63042, 50856, 54292, 51105, 51364, 51099, 50983, 51308, 51364, 51639, 51655, 50979, 51036, 50847, 51264, 51298, 51696, 51439, 51655, 52340, 51359, 52340, 51307, 52137, 51655, 52137, 51307, 52735, 51264, 62393, 53885, 50856, 50846, 51955, 53498, 79470, 53268, 51186, 51294, 51099, 51896, 62393, 50818, 55858, 53829, 51308, 50983, 76035, 53150, 51186, 62719, 51920, 53230, 52161, 63572, 54292, 51565, 51160, 51105, 51274, 51099, 51294, 51308, 51036, 51639, 51977, 52340, 51307, 52137, 51264, 52735, 51264, 52553, 72796, 54255, 51606, 51427, 51955, 51179, 50379, 52289, 52738, 52161, 50821, 51186, 51274, 51099, 51896, 52883, 50841, 78208, 50896, 52112, 50420, 51639, 51204, 52553, 53855, 51565, 50879, 63046, 58246, 52667, 51827, 51551, 51186, 50936, 52553, 53442, 50953, 51343, 51099, 51362, 51308, 51941, 51275, 51161, 51838, 51359, 52137, 51307, 52735, 51264, 52883, 68619, 50841, 51955, 51179, 67576, 52881, 51565, 51160, 50927, 51541, 51099, 51356, 72609, 51554, 50323, 51554, 50326, 50893, 52553, 50846, 76952, 51356, 51007, 51356, 52403, 51356, 54039, 77229, 52432, 51827, 50893, 52883, 52905, 60357, 51275, 51157, 58246, 54660, 51827, 56087, 65557, 51308, 54749, 51041, 53219, 52251, 51016, 51325, 51364, 51512, 51238, 52340, 51141, 53188, 50983, 52626, 51141, 52883, 53044, 51153, 51060, 63350, 51565, 50821, 51512, 65465, 51044, 50379, 52289, 52881, 51565, 51274, 51186, 51274, 51308, 51077, 51275, 51336, 52036, 51675, 52735, 51675, 52886, 51591, 52883, 50846, 50799, 52112, 50420, 52553, 52905, 51606, 50893, 50945, 60910, 51135, 52925, 52161, 51541, 51186, 51030, 52883, 53593, 51308, 53402, 51105, 51226, 51308, 51112, 51639, 51161, 52340, 51264, 52137, 51264, 52735, 51264, 52883, 73816, 59673, 50979, 51095, 68567, 51298, 50967, 51439, 67702, 51308, 51343, 58246, 66468, 59096, 72252, 50992, 50967, 51257, 51215, 52238, 68635, 51186, 51362, 51516, 51472, 52553, 50839, 64170, 51336, 50939, 51077, 51439, 50918, 52403, 51077, 52261, 50420, 51308, 51013, 52620, 52905, 51827, 51013, 51186, 60910, 51135, 52844, 51105, 51033, 52883, 53116, 52480, 50911, 50964, 51573, 51639, 51356, 52340, 51264, 52137, 51036, 52626, 51359, 52553, 73739, 55354, 52480, 55260, 51099, 51161, 59491, 75151, 52349, 52480, 50821, 50953, 52195, 51153, 51091, 52553, 50828, 78939, 51575, 53223, 51639, 51227, 52553, 54579, 52480, 50879, 51768, 51179, 52927, 52480, 50893, 50964, 52090, 51041, 53116, 51886, 51090, 50953, 51362, 51099, 51933, 51308, 51358, 51275, 51358, 51838, 51353, 52137, 51036, 52735, 51359, 52553, 53041, 50939, 50889, 51007, 50807, 52403, 50889, 54039, 50807, 63350, 51673, 50911, 59491, 50379, 52289, 52881, 51827, 50896, 50927, 51274, 51007, 51623, 51257, 51358, 54039, 51977, 57556, 51896, 52883, 50846, 50799, 52112, 50420, 51275, 51091, 52553, 53855, 51827, 51090, 75825, 51308, 50924, 59491, 52927, 69078, 51099, 53238, 51139, 52565, 51673, 50911, 51325, 51362, 51561, 50846, 51512, 50887, 51153, 50884, 52340, 51307, 53188, 51359, 52626, 51307, 52620, 53041, 51561, 51095, 51512, 51215, 51153, 50967, 50992, 51013, 74877, 52238, 51016, 52138, 50889, 75764, 51673, 50911, 51955, 51135, 67576, 52881, 51827, 50821, 51105, 51496, 51561, 50983, 51512, 51336, 51153, 51661, 50909, 51358, 51298, 51977, 52138, 51896, 56622, 51977, 52883, 50841, 50799, 52251, 50896, 52112, 50420 ]
[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 10, 15352, 30054, 13305, 483, 6, 14156, 19601, 30, 38668, 22052, 6, 41, 81, 9756, 8669, 6, 8, 10, 6755, 12547, 6, 70, 23396, 30, 10, 5204, 12638, 1451, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 23975, 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, 0, 0, 0, 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, 53028, 50949, 51544, 50895, 51570, 50895, 52320, 50895, 55556, 54834, 50902, 74492, 51351, 50871, 51542, 50899, 51241, 54720, 52121, 51881, 52096, 58366, 52096, 51863, 52121, 52615, 50888, 50841, 55825, 52121, 52016, 52096, 64724, 52096, 52072, 52121, 56952, 52905, 50902, 51060, 50920, 52844, 50920, 53219, 50902, 51048, 50997, 59782, 51241, 50899, 51241, 50843, 53067, 53533, 50876, 62805, 50902, 51358, 55435, 60138, 61861, 51241, 50920, 53871, 52432, 50920, 52905, 50920, 52667, 50920, 53442, 50906, 51111, 50997, 59782, 61861, 51218, 50920, 52141, 55186, 79377, 50913, 52396, 51181, 61471, 51428, 52502, 52349, 50906, 51111, 50461, 53817, 52121, 52402, 52337, 55464, 52121, 52606, 52337, 54293, 53520, 50997, 51351, 78548, 50956, 51191, 51728, 50888, 52981, 50920, 52992, 50951, 51158, 50920, 52844, 50920, 53116, 50951, 66677, 51351, 50997, 51241, 50956, 51295, 50843, 53067, 53533, 51147, 55037, 50951, 51294, 55435, 58657, 66715, 68078, 52079, 52981, 50920, 57074, 50931, 64002, 50920, 59185, 50951, 69467, 50920, 53442, 50861, 72893, 51241, 50956, 74256, 55657, 53806, 50931, 69046, 53409, 51533, 52297, 50323, 60096, 54739, 52881, 50931, 70886, 54720, 52121, 55825, 52121, 50461, 51881, 52337, 52016, 52337, 55556, 51655, 50931, 73569, 51134, 50871, 51241, 50899, 51218, 51728, 50888, 53223, 50920, 52905, 50906, 52542, 52844, 50906, 51294, 50920, 53219, 50997, 51351, 50871, 51351, 50899, 51351, 50843, 53067, 53533, 50906, 51294, 55556, 51933, 50997, 77240, 70022, 51115, 50871, 51218, 50920, 53871, 52432, 50920, 59824, 50902, 70266, 50920, 59483, 50876, 51472, 50432, 50920, 53442, 50997, 59782, 51191, 50899, 74256, 55657, 52210, 50913, 52396, 51181, 56793, 55154, 52349, 50861, 54300, 54293, 53520, 51197, 51056, 51026, 51253, 50997, 50807, 53817, 51717, 52402, 52121, 50920, 53756, 50895, 55464, 51717, 52606, 52121, 56952, 52992, 50920, 52844, 50920, 53116, 51197, 50897, 51026, 52014, 50302, 62116, 53836, 53533, 51197, 68539, 53173, 50997, 51221, 51026, 51162, 51528, 53067, 52981, 51197, 51413, 50920, 52639, 50997, 51191, 51026, 51413, 50920, 52844, 50861, 50879, 50920, 53442, 50906, 59218, 52079, 53806, 50876, 55185, 52502, 53409, 51533, 73988, 51158, 50852, 53099, 53685, 51001, 59342, 54720, 52121, 55825, 52121, 55556, 56736, 50931, 51158, 50997, 60241, 64763, 51351, 51881, 52096, 52615, 50888, 50841, 52016, 52096, 56952, 52905, 50931, 51036, 50920, 50828, 51974, 52079, 53219, 50997, 60241, 51391, 74876, 50843, 55657, 53533, 50798, 50846, 55435, 61849, 59782, 51003, 51728, 50888, 53576, 50920, 52905, 50920, 52667, 50920, 53442, 50906, 64823, 62646, 64815, 51191, 50920, 52141, 54586, 50876, 62736, 52396, 51181, 71884, 65129, 52349, 50906, 51095, 54293, 51036, 50997, 65227, 51191, 50861, 51204, 53817, 52121, 52402, 52096, 50920, 53756, 50818, 55464, 52121, 52606, 52096, 56952, 52992, 50951, 54857, 52844, 50951, 58249, 52079, 53116, 50997, 51241, 50861, 51351, 50956, 51115, 50920, 53473, 55254, 51147, 59554, 50884, 54293, 51036, 50951, 76455, 51241, 50861, 51204, 50956, 51351, 51728, 50888, 52981, 50931, 58295, 52639, 50931, 56969, 52844, 50951, 51158, 50920, 53442, 50931, 51215, 50997, 58657, 72225, 51391, 50843, 55657, 53806, 50913, 53409, 50931, 55065, 53685, 50931, 51358, 50461, 54720, 52122, 55825, 52122, 55556, 52392, 50997, 51253, 50871, 64763, 50943, 51881, 52096, 52615, 50888, 50841, 52016, 52096, 56952, 52905, 50906, 50889, 50920, 50828, 51974, 53127, 53219, 50997, 58134, 51391, 50876, 51091, 50899, 51391, 50843, 55657, 53533, 50902, 52221, 50818, 55556, 51036, 51001, 65757, 64763, 51283, 74228, 52723, 50888, 53576, 50920, 52905, 79727, 50920, 52667, 50876, 50983, 50920, 53442, 50871, 51255, 50997, 51346, 50899, 51267, 50920, 52141, 54586, 50913, 52396, 50902, 69046, 52349, 50861, 56300, 50461, 53817, 52121, 55464, 52121, 54293, 53520, 51197, 72893, 51241, 51026, 51191, 52402, 55408, 50920, 53756, 50883, 52606, 55408, 56952, 52992, 50920, 52844, 50920, 53852, 52565, 51197, 71556, 74492, 51100, 50920, 57014, 50843, 71540, 51197, 55082, 50798, 58464, 50997, 66225, 51026, 51162, 51528, 55657, 52981, 51197, 51100, 50920, 52639, 51026, 64823, 60684, 59185, 51224, 52975, 51197, 51141, 50920, 53442, 50997, 51162, 51026, 77656, 55657, 53806, 51289, 53353, 53409, 51533, 73642, 53104, 50572, 54016, 53685, 51001, 57614, 52133, 51717, 54720, 51717, 52233, 51717, 55825, 51717, 52894, 51933, 77115, 50931, 51238, 51050, 51381, 51247, 50983, 51656, 51717, 51743, 51717, 51728, 50888, 54726, 50895, 51701, 51717, 51821, 51717, 76751, 55385, 50920, 52905, 50843, 53127, 52844, 50876, 50818, 50931, 64890, 52411, 53963, 53219, 50877, 55695, 62931, 52297, 50285, 51608, 50297, 51351, 50843, 53963, 53404, 53595, 51132, 70440, 53871, 52349, 74790, 52894, 51161, 50877, 63835, 50808, 75032, 51247, 51141, 51050, 51218, 57770, 53067, 53576, 50877, 59879, 57253, 51060, 50920, 52905, 50843, 52793, 52667, 79494, 50931, 60594, 51091, 50920, 53442, 51247, 51048, 51050, 53030, 53843, 53836, 52210, 50913, 52396, 51132, 73642, 70264, 52502, 52349, 51001, 66879, 51863, 53753, 52856, 51941, 52072, 53753, 55556, 56793, 59879, 51173, 65338, 51234, 51191, 50997, 51204, 51881, 51151, 57770, 53067, 50828, 80188, 56952, 52992, 51727, 51661, 50906, 61420, 59815, 58295, 55882, 50843, 60426, 50931, 51173, 63975, 51116, 50906, 51141, 50920, 53852, 56359, 50997, 69241, 51234, 51233, 50920, 53404, 52586, 53885, 50951, 54755, 51181, 51290, 50861, 51336, 50906, 50918, 61260, 57150, 51839, 50807, 50460, 53817, 51151, 55464, 51151, 50461, 50956, 51159, 51197, 50807, 52402, 51151, 52402, 51151, 51615, 51353, 52606, 51151, 52606, 51151, 51678, 51353, 54293, 51161, 51856, 51492, 62997, 55657, 52981, 50920, 52639, 50843, 52793, 52844, 50920, 58855, 50956, 51221, 50438, 51197, 50943, 59239, 53963, 53806, 50913, 60374, 50902, 65458, 51533, 51016, 50843, 52755, 53685, 51001, 50952, 50460, 54720, 52121, 51881, 51717, 55825, 52121, 52016, 51717, 50461, 51234, 72893, 51351, 50931, 51362, 51863, 52121, 51743, 51717, 52072, 52121, 51821, 51717, 55556, 51358, 50906, 51091, 50902, 51204, 57770, 55657, 53223, 50920, 52905, 50843, 53127, 50828, 51974, 53963, 50828, 55511, 56793, 60762, 66156, 50859, 51234, 51141, 50997, 51189, 50816, 53843, 53067, 53239, 50906, 61420, 66156, 65835, 50843, 52396, 51727, 58801, 62176, 59304, 53238, 53685, 50931, 73988, 51091, 50906, 51189, 50461, 50798, 50883, 55556, 50918, 51234, 51351, 50997, 51241, 50843, 53067, 53576, 50920, 52905, 51001, 70440, 53127, 52667, 50920, 50846, 55511, 51048, 51234, 51177, 50997, 51267, 50902, 51073, 59239, 53963, 52210, 50913, 52396, 51727, 51159, 51001, 56593, 52245, 56904, 54720, 51717, 52133, 51717, 51497, 51492, 55825, 51717, 52233, 51717, 52894, 51933, 50877, 50967, 50902, 51238, 51050, 51241, 50871, 51191, 51656, 52644, 62997, 55657, 50828, 51701, 52644, 56952, 52992, 50877, 60407, 52847, 53963, 52844, 50876, 51036, 50877, 72163, 52079, 53116, 51050, 59466, 51003, 59239, 53963, 61587, 50843, 52816, 53409, 51132, 51095, 50461, 62997, 50961, 52894, 51161, 51050, 57934, 51095, 50920, 52981, 50900, 51060, 50920, 57074, 50843, 52905, 50871, 50918, 50920, 52844, 50900, 51346, 50920, 53442, 51050, 51091, 50816, 53671, 53836, 62860, 51615 ]
[ 0, 250, 765, 6, 15352, 30054, 5175, 14123, 3495, 2214, 4246, 21072, 6, 21979, 9590, 6, 13305, 6, 8, 3741, 27374, 594, 6, 278, 11, 10, 182, 1769, 20889, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 230, 3694, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 19448, 6711, 29, 19, 10, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 50852, 56795, 58320, 51140, 58595, 51140, 51066, 50852, 69018, 61718, 57322, 50801, 51858, 64959, 51461, 71206, 51140, 50893, 51755, 52625, 80048, 51140, 50983, 51544, 56282, 51340, 51106, 52116, 50791, 67098, 51522, 56250, 51848, 50942, 51755, 53547, 51973, 50852, 50860, 55481, 52444, 51150, 58834, 50952, 50439, 50816, 57795, 51522, 77778, 50852, 55166, 56771, 51098, 51362, 51755, 52625, 50860, 51544, 51033, 50433, 51522, 50993, 51570, 55508, 52116, 51140, 64512, 56575, 50903, 53902, 50801, 50844, 56098, 50991, 51848, 51858, 50911, 50425, 51493, 50974, 51694, 53270, 78116, 51848, 53574, 50852, 57149, 61718, 57322, 51848, 55043, 52625, 57459, 50903, 54871, 51461, 50930, 64908, 51858, 78346, 51461, 51006, 51544, 50917, 50427, 51461, 74123, 51340, 51104, 52409, 52116, 51150, 52448, 51805, 51605, 50458, 50903, 50811, 54204, 50940, 51848, 51858, 57506, 66659, 51660, 51336, 52760, 51336, 51694, 53270, 55276, 50852, 51052, 51294, 50439, 50816, 57795, 51461, 50911, 52320, 51407, 50852, 66635, 51033, 50451, 51515, 51072, 52230, 51072, 50458, 50903, 56628, 51434, 51562, 52118, 51562, 55929, 76152, 51858, 50860, 51544, 51541, 50431, 51522, 51029, 50433, 52361, 51496, 54267, 51496, 51570, 51362, 50852, 52409, 57891, 51493, 51798, 51607, 51016, 52360, 55637, 51795, 50791, 51184, 50458, 51848, 58713, 50811, 57752, 55400, 51740, 62695, 58320, 51140, 58595, 51140, 51066, 50856, 51091, 50856, 51358, 50852, 56810, 50852, 51858, 64021, 52311, 50856, 52369, 50439, 50816, 52791, 76347, 52536, 62132, 51795, 50856, 51184, 52962, 51795, 50791, 51184, 50852, 51091, 50458, 50903, 56658, 51184, 50459, 51461, 71206, 51140, 50893, 51755, 52625, 52827, 50856, 51353, 50856, 53651, 50425, 51140, 50983, 55592, 55362, 50856, 56082, 51340, 50410, 50438, 51340, 50410, 50852, 51407, 50852, 51795, 50856, 57508, 50856, 59939, 50816, 51184, 50816, 51732, 62132, 59939, 50856, 54430, 50791, 52737, 50791, 54217, 50791, 51492, 50451, 51522, 56250, 51848, 50942, 50903, 51184, 50903, 51732, 51755, 52229, 51492, 50856, 51492, 50852, 51407, 55592, 51492, 50856, 51492, 50852, 51407, 55481, 52444, 51150, 51066, 50852, 51407, 50852, 51184, 50856, 53501, 50856, 53501, 52574, 50413, 50439, 50816, 51732, 50816, 51732, 50449, 51522, 51379, 62132, 51732, 50856, 51732, 50791, 51732, 50791, 51732, 50852, 52442, 50801, 56575, 50903, 51732, 50903, 51732, 50461, 51098, 51362, 51755, 52625, 52442, 50856, 52122, 50856, 52122, 55592, 53601, 50856, 53601, 50791, 53601, 50433, 51522, 50993, 51570, 53073, 50852, 51184, 50852, 52442, 50856, 54430, 50856, 54430, 50816, 51732, 50816, 51732, 50450, 51140, 51500, 50856, 54430, 50856, 54430, 50791, 51732, 50791, 51732, 50791, 51732, 50458, 50903, 51732, 50903, 51732, 62190, 50844, 56098, 50991, 51848, 51858, 52017, 50856, 51492, 50856, 51492, 50425, 51493, 50974, 55592, 51492, 50856, 51492, 50852, 55362, 50434, 51848, 53574, 50852, 52737, 50852, 54217, 50856, 53501, 50856, 53501, 50439, 50816, 51732, 50816, 51732, 50791, 53073, 62132, 51732, 50856, 51732, 51848, 51594, 51732, 50791, 51732, 50852, 51492, 50458, 50903, 51732, 50903, 51732, 50459, 51461, 50930, 64908, 51858, 54430, 50856, 52122, 50856, 52122, 50415, 51461, 51006, 55592, 53601, 50856, 53601, 51340, 50413, 50427, 51461, 74123, 51340, 50413, 50852, 51732, 50852, 51732, 50856, 54430, 50856, 54430, 50816, 51732, 50816, 51732, 50450, 51150, 55415, 54430, 50856, 54430, 50791, 51732, 50791, 51732, 50791, 51492, 50456, 51224, 57450, 51456, 79488, 51732, 50903, 51732, 54204, 50940, 51326, 73986, 51858, 51732, 50426, 51660, 52195, 52760, 52195, 50852, 51732, 51570, 53002, 50445, 51515, 51496, 52230, 51496, 50449, 51461, 56160, 50852, 51732, 51848, 51033, 76056, 51761, 51461, 50824, 52118, 51761, 51848, 51858, 51732, 51544, 53601, 50431, 51522, 61511, 52361, 51274, 54267, 51274, 51570, 53073, 50449, 51607, 51073, 51493, 50795, 52360, 51073, 52320, 51732, 50458, 51848, 61145, 51206, 50803, 57752, 53601, 50856, 73086, 58320, 51929, 52570, 51140, 50976, 53232, 52570, 50426, 51140, 51066, 50856, 51492, 50852, 53601, 50438, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50791, 53073, 62132, 51732, 52962, 51732, 50852, 51492, 50458, 50903, 51732, 50459, 51461, 71206, 51140, 50893, 51755, 52625, 54430, 50856, 52122, 50425, 51140, 50983, 55592, 53601, 51340, 50413, 50438, 51340, 50413, 50852, 51732, 50856, 54430, 50816, 51732, 62132, 54430, 50791, 51732, 50791, 51492, 50451, 51522, 56250, 51848, 50942, 50903, 51732, 51755, 52229, 51492, 50852, 51732, 55592, 51492, 50852, 51732, 50433, 51515, 52195, 52230, 52195, 55481, 52444, 51150, 51066, 50852, 51732, 50856, 53501, 52574, 50413, 50439, 50816, 51732, 50449, 51522, 51379, 62132, 51732, 50791, 51732, 50852, 79220, 62103, 51434, 51566, 52118, 51566, 50458, 50903, 51732, 50461, 51098, 51362, 50799, 51929, 51029, 53232, 59110, 52625, 51732, 50856, 52122, 55592, 53601, 50791, 53601, 50432, 51434, 51295, 52118, 51295, 50433, 51522, 50993, 51570, 53073, 50852, 51732, 50856, 54430, 50816, 51732, 50450, 51607, 51158, 51140, 51500, 52360, 51158, 50856, 54430, 50791, 51732, 50791, 51732, 50457, 51660, 53295, 52760, 53295, 50458, 50903, 51732, 62190, 50844, 56098, 50991, 51848, 51858, 53601, 50856, 51492, 50425, 51493, 50974, 55592, 51492, 50852, 53601, 50434, 51848, 53574, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50791, 53073, 62132, 51732, 51848, 51594, 51732, 50852, 51492, 50458, 50903, 51732, 50459, 51461, 50930, 64908, 51858, 54430, 50856, 52122, 50415, 51461, 51006, 55592, 53601, 51340, 50413, 50427, 51461, 74123, 51340, 50413, 50852, 51732, 50856, 54430, 50816, 51732, 50450, 51150, 55415, 54430, 50791, 51732, 50791, 51492, 50458, 50903, 51732, 54204, 50940, 51848, 52229, 51492, 50852, 51732, 50426, 51660, 52195, 52760, 52195, 50856, 51492, 50852, 51732, 50438, 50852, 51732, 50856, 53501, 52574, 50413, 50439, 50816, 51732, 50445, 51515, 51496, 52230, 51496, 50449, 51461, 56160, 50856, 51732, 50791, 51732, 50852, 51732, 51848, 72870, 50903, 51732, 76056, 51761, 51461, 50824, 52118, 51761, 51848, 51858, 51732, 50856, 52122, 55592, 53601, 50791, 53601, 50431, 51522, 61511, 52361, 51274, 54267, 51274, 51570, 53073, 50852, 51732, 50856, 54430, 50816, 51732, 50449, 51607, 51073, 51493, 50795, 52360, 51073, 62132, 54430, 50791, 51732, 50791, 51732, 50458, 51848, 58713, 51732, 50460, 51769, 50810, 57752, 53601, 50856, 73086, 58320, 51929, 52570, 51140, 50976, 53232, 52570, 50426, 51140, 51066, 50856, 51492, 50852, 53601, 50438, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50791, 53073, 62132, 51732, 52962, 51732, 50852, 51492, 50458, 50903, 51732, 50459, 51461, 71206, 51140, 50893, 51755, 52625, 54430, 50856, 52122, 50425, 51140, 50983, 55592, 53601, 51340, 50413, 50438, 51340, 50413, 50852, 51732, 50856, 54430, 50816, 51732, 62132, 54430, 50791, 51732, 50791, 51492, 50451, 51522, 56250, 51848, 50942, 50903, 51732, 51755, 52229, 51492, 50852, 51732, 55592, 51492, 50852, 51732, 50433, 51515, 52195, 52230, 52195, 55481, 52444, 51150, 51066, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50449, 51522, 77778, 50852, 79220, 62103, 51434, 51566, 52118, 51566, 50461, 51098, 51362, 50799, 51929, 51029, 53232, 59110, 52625, 51732, 50432, 51434, 51295, 52118 ]
[ 0, 250, 2635, 12, 20764, 19834, 2125, 14, 7630, 6568, 10, 1619, 5466, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 9590, 6, 3459, 8669, 6, 8, 5730, 2342, 4467, 4, 20, 15229, 16, 11, 211, 538, 8, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 163, 119, 6, 3676, 406, 6, 211, 73, 250, 6, 83, 406, 6, 8, 211, 4, 3139, 19448, 8, 8728, 23225, 146, 24, 10686, 13, 822, 50, 4149, 5422, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 54795, 51244, 51098, 51291, 50804, 55942, 51129, 50418, 50899, 52011, 70166, 64309, 57616, 52976, 50973, 64835, 50364, 51152, 59508, 50861, 74045, 59516, 50899, 59809, 54114, 51799, 51047, 51273, 51472, 50856, 63272, 61118, 50899, 65155, 51129, 50446, 50989, 59743, 53166, 79724, 50856, 68704, 57690, 50989, 62836, 67076, 50899, 62788, 51129, 54795, 51047, 51098, 51413, 68198, 53280, 50659, 50351, 54532, 50804, 55942, 51129, 50418, 51086, 51172, 70166, 63715, 54566, 52976, 79269, 50856, 50364, 51152, 59508, 50899, 59809, 59516, 51086, 62788, 54114, 50973, 51095, 51799, 51134, 51273, 51056, 68198, 54532, 64008, 54532, 50856, 63272, 61118, 50861, 60054, 51129, 64118, 59809, 53166, 50902, 50943, 51273, 56241, 68704, 57690, 50973, 51534, 51493, 54172, 67076, 62958, 51705, 56776, 51129, 54955, 51047, 51098, 51562, 54619, 51103, 51881, 51145, 53541, 51449, 52187, 52204, 68198, 51490, 50659, 50351, 51447, 50804, 55942, 51129, 50415, 51615, 51314, 50418, 50861, 56858, 78893, 50973, 59809, 52976, 50902, 61035, 50364, 51152, 59508, 50973, 51423, 50804, 59516, 50861, 62522, 60622, 52332, 51047, 51838, 65680, 51324, 51244, 52659, 51218, 53200, 51103, 50659, 50351, 51447, 50659, 50354, 51490, 50856, 63272, 61118, 50989, 56858, 51129, 50446, 50973, 59809, 53166, 50902, 64835, 68704, 57690, 50973, 77487, 67076, 50989, 62522, 51129, 57551, 51127, 51493, 51562, 54619, 51518, 53541, 51293, 52033, 51313, 75281, 68198, 52980, 76401, 54829, 50804, 55942, 51129, 50418, 50916, 59975, 51129, 64309, 60146, 52976, 50973, 80066, 50364, 51152, 59508, 50861, 58799, 59516, 50916, 59809, 54114, 51120, 51148, 51273, 51417, 50856, 63272, 61118, 50916, 56858, 51129, 67655, 59809, 53166, 50973, 50914, 50659, 50349, 51079, 50856, 68704, 57690, 50861, 51337, 54580, 55588, 54059, 50659, 50351, 50972, 50458, 79848, 55857, 56776, 51129, 53997, 51127, 51461, 51397, 52133, 51148, 52033, 51148, 51711, 51148, 73331, 50659, 50352, 51878, 50804, 55942, 51129, 50415, 53664, 51077, 50418, 50916, 56951, 51129, 64309, 60146, 52976, 50876, 61035, 50364, 51152, 59508, 50861, 51337, 50804, 59516, 50916, 60146, 54114, 51324, 51448, 52659, 51397, 55857, 51103, 51881, 51448, 53541, 51080, 52187, 51080, 50659, 50351, 52407, 50856, 63272, 61118, 50899, 58799, 51129, 67655, 57990, 53166, 50973, 56053, 68704, 57690, 50861, 74045, 67076, 50899, 59809, 73496, 53389, 51313, 52133, 51313, 55547, 51145, 52419, 51448, 54580, 51591, 52332, 51449, 51656, 51313, 50659, 50349, 53142, 50804, 55942, 51129, 50418, 50899, 56858, 78893, 50989, 59809, 52976, 50877, 51091, 50856, 50364, 51152, 59508, 50989, 51423, 50804, 59516, 50899, 60146, 54114, 51120, 51448, 51273, 51291, 50856, 63272, 61118, 50899, 56858, 51129, 50446, 50989, 59743, 53166, 50877, 57038, 68704, 57690, 50989, 59743, 67076, 63383, 57324, 55588, 51129, 53997, 51103, 51461, 51291, 59114, 51103, 53817, 51148, 52133, 51244, 52033, 51447, 76401, 51703, 50804, 55942, 51129, 50415, 51615, 51080, 50418, 51026, 51097, 51830, 53674, 70166, 63686, 50942, 51451, 51679, 50804, 52976, 50916, 50914, 51366, 51108, 50856, 50364, 51152, 59508, 50900, 74045, 59516, 51026, 62788, 54114, 51120, 51183, 51273, 51291, 63331, 51077, 53389, 51244, 51881, 51047, 51656, 51080, 52332, 51080, 50659, 50346, 52263, 50856, 63272, 61118, 51027, 51330, 51322, 51642, 70166, 50446, 60833, 51547, 51679, 50804, 53166, 50989, 51016, 51229, 51199, 50856, 68704, 57690, 50899, 56959, 67076, 51027, 59809, 51129, 57551, 51127, 51493, 51241, 54619, 51413, 51615, 51314, 53541, 51080, 52033, 51148, 52187, 51447, 68198, 51878, 50804, 55942, 51129, 50418, 50973, 51797, 51366, 59975, 78893, 69915, 51209, 59975, 52976, 50951, 50914, 51590, 52378, 50856, 50364, 51152, 59508, 50968, 51043, 51098, 54172, 59516, 79623, 51668, 52764, 54114, 51085, 50807, 51150, 51056, 54580, 51110, 53389, 51110, 52133, 51423, 52033, 51178, 50659, 50349, 52059, 50856, 63272, 61118, 50876, 51233, 51209, 51679, 70166, 79472, 50925, 51334, 50932, 55857, 51095, 53389, 51110, 52133, 51233, 52033, 51423, 51615, 51178, 50659, 50351, 52059, 50804, 53166, 51279, 78599, 50914, 51216, 51025, 51924, 51309, 50856, 68704, 57690, 50968, 51178, 53664, 50967, 53389, 51110, 52133, 51043, 52033, 51043, 51656, 51194, 50659, 50352, 51797, 50804, 67076, 50876, 57990, 51129, 58359, 51448, 51273, 51417, 55857, 51077, 55430, 51047, 53541, 51047, 51881, 51127, 51615, 51145, 50659, 50351, 52598, 50804, 55942, 51129, 50418, 50899, 51108, 51209, 53280, 70166, 50422, 58882, 51590, 51961, 50804, 52976, 50973, 50889, 51390, 51775, 50856, 50364, 51152, 59508, 50861, 74045, 59516, 50899, 60146, 54114, 51799, 51047, 51273, 51417, 54580, 51413, 55430, 51047, 52133, 51047, 52332, 51080, 51656, 51244, 50659, 50349, 56458, 50856, 63272, 61118, 50900, 50981, 51547, 52519, 70166, 50446, 77663, 51229, 51679, 50804, 53166, 79724, 51390, 51576, 50856, 68704, 57690, 50989, 62314, 67076, 50899, 62788, 51129, 54795, 51313, 51098, 51413, 54619, 51790, 53817, 51662, 53541, 52140, 51881, 51662, 51615, 51662, 68198, 54829, 50804, 55942, 51129, 50418, 51086, 51330, 51209, 51314, 70166, 63715, 50959, 51590, 51680, 50804, 52976, 50861, 51194, 52004, 51145, 50856, 50364, 51152, 59508, 50899, 59809, 59516, 51086, 59743, 54114, 50973, 50889, 51389, 51159, 50856, 63272, 61118, 50861, 51337, 70166, 64118, 51337, 50804, 53166, 50902, 51013, 51273, 51400, 50856, 68704, 57690, 50973, 56959, 67076, 50861, 62788, 51129, 54955, 51047, 51098, 51562, 51209, 51490, 54619, 51103, 53541, 51314, 51881, 51145, 52187, 51314, 50804, 55942, 51129, 50415, 51615, 51314, 50418, 50899, 56858, 51129, 64309, 59809, 52976, 50973, 61035, 50364, 51152, 59508, 79270, 50804, 59516, 50899, 62522, 60622, 53541, 51047, 52332, 51047, 52187, 51314, 51838, 65680, 51324, 51244, 52659, 51218, 51547, 51447, 53200, 51103, 50856, 63272, 61118, 50989, 56858, 51129, 50446, 50973, 59809, 53166, 50902, 64835, 68704, 57690, 50973, 77487, 67076, 50989, 62522, 51129, 57551, 51127, 51493, 51562, 51366, 52431, 54619, 51518, 53541, 51293, 52033, 51313, 75281, 52187, 51449, 50804, 55942, 51129, 50418, 50916, 59975, 51129, 64309, 60146, 52976, 50973, 80066, 50364, 51152, 59508, 50861, 58799, 59516, 50916, 59809, 54114, 51315, 51253, 51493, 51377, 50856, 63272, 61118, 50916, 56858, 51129, 67655, 59809, 53166, 51120, 51253, 50973, 50914, 78703, 50856, 68704, 57690, 50861, 51337, 54580, 55588, 67076, 79848, 55857, 56776, 51129, 53997, 51127, 51461, 51397, 51451, 51490, 51334, 51490, 51615, 51148, 53817, 51148, 52133, 51080, 52033, 51148, 50804, 55942, 51129, 50415, 53664, 51077, 50418, 50916, 56951, 51129, 64309, 60146, 52976, 50876, 61035, 50364, 51152, 59508, 50861, 51337, 50804, 59516, 50916, 60146, 54114, 51324, 51448, 52659, 51397, 51322, 51314, 51390, 51490, 55857, 51103, 51881, 51448, 53817, 51080, 53541, 51080, 51615, 51080, 50856, 63272, 61118, 50899, 58799, 51129, 67655, 57990, 53166, 50973, 56053, 68704, 57690, 50861, 74045, 67076, 50899, 59809, 73496, 53389, 51313, 52133, 51313, 55547, 51145, 52419, 51448, 51322, 51243, 51390, 51748, 54580, 51591, 51881, 51313, 52332, 51449, 50804, 55942, 51129, 50418, 50899, 56858, 78893, 50989, 59809, 52976, 50877, 51091, 50856, 50364, 51152, 59508, 50989, 51423, 50804 ]
[ 0, 250, 765, 15855, 8, 5175, 15229, 14, 7630, 6568, 10, 25306, 5466, 6, 29354, 19448, 8, 2933, 4785, 4, 20, 6755, 12547, 6, 17465, 102, 6, 13305, 6, 1893, 43639, 6, 8, 3459, 9590, 45552, 833, 11, 10, 5679, 26709, 5797, 990, 1506, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 23758, 3938, 20889, 8, 10, 132, 73, 306, 86, 6543, 4, 20, 2125, 24708, 1626, 149, 10, 33215, 16739, 9, 2060, 401, 6, 230, 10431, 6, 2060, 406, 73, 347, 6, 163, 43531, 406, 6, 8, 2060, 406, 6, 2351, 41, 9066, 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 ]	[ 69781, 50989, 59991, 50906, 54351, 50989, 55266, 50906, 53450, 50965, 57250, 50906, 52658, 50965, 54112, 60834, 51057, 50965, 59991, 50973, 54351, 50906, 54252, 50973, 53450, 51040, 56552, 50871, 53513, 50965, 55270, 66457, 51057, 50989, 59991, 50906, 54351, 61256, 51028, 59573, 50906, 52654, 50965, 50844, 51114, 60412, 50906, 53193, 56756, 51081, 58926, 66768, 51057, 50965, 50854, 51220, 66147, 50973, 53728, 61801, 51147, 59573, 50973, 53450, 51040, 57250, 50871, 53911, 50965, 50844, 51220, 58926, 58529, 51057, 59289, 51081, 66147, 50906, 54448, 78675, 51114, 59573, 50906, 53450, 50956, 55730, 50989, 52658, 78675, 51001, 58926, 60834, 51057, 70806, 51028, 50914, 50417, 50906, 54448, 50989, 53591, 50956, 52580, 51040, 61271, 51399, 54125, 51220, 50812, 51057, 76533, 51378, 50995, 51488, 51803, 50420, 51399, 52710, 67423, 51197, 57547, 76533, 51057, 70597, 51176, 50981, 51357, 67568, 51220, 52710, 66188, 51360, 60307, 70597, 51057, 67423, 51197, 51003, 51165, 78377, 51081, 52710, 64341, 51176, 57648, 67423, 51375, 50974, 51057, 70597, 51360, 50981, 51357, 67568, 50989, 53172, 50871, 54342, 51040, 50995, 51057, 53148, 51148, 51491, 50995, 51213, 60413, 51488, 50923, 59659, 50844, 60530, 53450, 51794, 50995, 51600, 50923, 51105, 57421, 51394, 50923, 59659, 50844, 60530, 50844, 51057, 52065, 51148, 51357, 50995, 51558, 50923, 51325, 60413, 51629, 51054, 58003, 50844, 57249, 53450, 51491, 57648, 51558, 50923, 58003, 50844, 57249, 50844, 51057, 51638, 51148, 78256, 51394, 50923, 50945, 60413, 51600, 51054, 60530, 50874, 57355, 53881, 51491, 50995, 51325, 57421, 51395, 50923, 60530, 50822, 57355, 59259, 50949, 51057, 52316, 51148, 51375, 50995, 51488, 51527, 51925, 56051, 60530, 50961, 56841, 66774, 58003, 50961, 55860, 58980, 59659, 50961, 54899, 80148, 58003, 50961, 55860, 55800, 51154, 50995, 56841, 53917, 56841, 56486, 55860, 50880, 51057, 54899, 50921, 52646, 60413, 56841, 55889, 57355, 50921, 52053, 57421, 54899, 50921, 51057, 57454, 51033, 53926, 60413, 55860, 55889, 54978, 51033, 52022, 57421, 57454, 50952, 51057, 57355, 50940, 52053, 50943, 51925, 53223, 54899, 61177, 60530, 50952, 53926, 50943, 51925, 53230, 57454, 50952, 51057, 51600, 50859, 52405, 50859, 57355, 50921, 52646, 51003, 51925, 55265, 76263, 51690, 54681, 51395, 50859, 51811, 55747, 51488, 50800, 51905, 53950, 76631, 51558, 58129, 51165, 50808, 51394, 53974, 51375, 50808, 51629, 56535, 70502, 78589, 51057, 51113, 51077, 51107, 51264, 51600, 64739, 56435, 52483, 54885, 52605, 58502, 50795, 51057, 51266, 50915, 54552, 52115, 57538, 73439, 51182, 50915, 51057, 51201, 51047, 51284, 62976, 53942, 53466, 53994, 54259, 55679, 50805, 51057, 51395, 51047, 51182, 51047, 55005, 55099, 54552, 51189, 51057, 51093, 51134, 51395, 51134, 51629, 51134, 55184, 54275, 61438, 52871, 55184, 54080, 61438, 52710, 55184, 52749, 65203, 51395, 50810, 51629, 50810, 56380, 50805, 51057, 51488, 51397, 51266, 51397, 51629, 51397, 60177, 52864, 51236, 53578, 57454, 80148, 54899, 55229, 53862, 68388, 56841, 50806, 51057, 51357, 51134, 51266, 51134, 51629, 51134, 56380, 57368, 54552, 52871, 56380, 53184, 54552, 52450, 56380, 52749, 51357, 50810, 78155, 51629, 50810, 57538, 50849, 51057, 51266, 50915, 51284, 50915, 51019, 51003, 55679, 60724, 55679, 51620, 51201, 50981, 51394, 50981, 51186, 51003, 55005, 50805, 51057, 51488, 51145, 51600, 51145, 51394, 51145, 51213, 60413, 51905, 50795, 59659, 50859, 60530, 53950, 52405, 50806, 51105, 57421, 53089, 50806, 59659, 50800, 60530, 50800, 51057, 51395, 51145, 51600, 51145, 51558, 51145, 54294, 50923, 51325, 60413, 52838, 51054, 58003, 50800, 57249, 51620, 51228, 56217, 54294, 50795, 58003, 50808, 57249, 50808, 51057, 51488, 52071, 51600, 51145, 51394, 51145, 53089, 58536, 57519, 52405, 50914, 60530, 50812, 57355, 52710, 51325, 57421, 51811, 50879, 60530, 50808, 57355, 52476, 50612, 50817, 51057, 51201, 51310, 51629, 51310, 51905, 51013, 52022, 50943, 51925, 52302, 56380, 50810, 60177, 50810, 55936, 54347, 60177, 50810, 57216, 52654, 51415, 50943, 56380, 50810, 60177, 50810, 55936, 52658, 51905, 56535, 51558, 50821, 51057, 51165, 51183, 51488, 51183, 51394, 50879, 51213, 60413, 51905, 55035, 72888, 51105, 57421, 51394, 50806, 51057, 51375, 51127, 51357, 51127, 51629, 50795, 51325, 57519, 51558, 54851, 51201, 50805, 51228, 56217, 51629, 50879, 51057, 51491, 51003, 51165, 51003, 51600, 50879, 51105, 57519, 51394, 54851, 51154, 51003, 51375, 51003, 51488, 50901, 51325, 56217, 51629, 50795, 51057, 51165, 51183, 51488, 51183, 51600, 51183, 51213, 57437, 51228, 52247, 69364, 51057, 53919, 50952, 57249, 70335, 53117, 61378, 52128, 50955, 60530, 64784, 53117, 55656, 53919, 50952, 58003, 66094, 53117, 56626, 52128, 50878, 57249, 63363, 53117, 50933, 51057, 52956, 50830, 54978, 78006, 53684, 61378, 52052, 50959, 57249, 65393, 53684, 57630, 52956, 50910, 60530, 66094, 53684, 56626, 52052, 50959, 54978, 63363, 53684, 50933, 51057, 56193, 50910, 57355, 70335, 53919, 61378, 53117, 50959, 57249, 64784, 53919, 55656, 56193, 50910, 58003, 55214, 64534, 70708, 51690, 50800, 54978, 55632, 79432, 52838, 50800, 57454, 50858, 51057, 51357, 50901, 51395, 50901, 51600, 50901, 51558, 50901, 51811, 50901, 52405, 50901, 57355, 50893, 50706, 50310, 50802, 50706, 50322, 52410, 51357, 50849, 51395, 50849, 51600, 50849, 51558, 50849, 51811, 50849, 52405, 50849, 50706, 50310, 50802, 50706, 50322, 52030, 51375, 50952, 51488, 50952, 51600, 50952, 51629, 50952, 51905, 50952, 52405, 50952, 69220, 50802, 50706, 50322, 50802, 50269, 50786, 50414, 51165, 51077, 51488, 51077, 51600, 51077, 51394, 51077, 51905, 51077, 52405, 51077, 50706, 50310, 51009, 50706, 50322, 51009, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 3495, 2712, 6, 4246, 10, 13305, 483, 7513, 30, 41, 3459, 9590, 6, 81, 9756, 8669, 6, 16867, 6, 8, 21072, 6, 2351, 10, 11739, 9, 1372, 8, 20425, 23338, 293, 19, 10, 11602, 9, 15073, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 70781, 51134, 51153, 51134, 51489, 51134, 52657, 51134, 50423, 51489, 53548, 51578, 58466, 52461, 56983, 51837, 50889, 51119, 51134, 51429, 51134, 51489, 51134, 52018, 51134, 50456, 52778, 50910, 50799, 52778, 51204, 51119, 51452, 51153, 51452, 51489, 51452, 51720, 51452, 50429, 52709, 53810, 52353, 55782, 51837, 53813, 52353, 51623, 50799, 51512, 51452, 51429, 51452, 51489, 51452, 51817, 51714, 50429, 51489, 53810, 52461, 55782, 51837, 53813, 52353, 60204, 52709, 69352, 52353, 52843, 52778, 51141, 70781, 51452, 51153, 51452, 51489, 51452, 51720, 51714, 50423, 52353, 53548, 51837, 56338, 52461, 53810, 51578, 51446, 68819, 51134, 51232, 51134, 51119, 51134, 51011, 73967, 51578, 56382, 55165, 61086, 51429, 51043, 51275, 51043, 51516, 51043, 51415, 65029, 51308, 51043, 51777, 51043, 51516, 51043, 52022, 51043, 50453, 52778, 54166, 52709, 56249, 53519, 50938, 61310, 51134, 51144, 51134, 51119, 51134, 51271, 65177, 52709, 63244, 52778, 53576, 52709, 61086, 51280, 51134, 51232, 51134, 51119, 73779, 51133, 69204, 52778, 58045, 51837, 54166, 52353, 56249, 52778, 50840, 50799, 52353, 50846, 52040, 51134, 51198, 51134, 51099, 51134, 51415, 50915, 50416, 51837, 55927, 52353, 63244, 51837, 53576, 52353, 61086, 51708, 51134, 51280, 51134, 51144, 51134, 51011, 69204, 51837, 58045, 51578, 54166, 52461, 56249, 51837, 50840, 50799, 52461, 50840, 51869, 51134, 52040, 51134, 51232, 51134, 50953, 51134, 50417, 51578, 54507, 52461, 61086, 52477, 51134, 52040, 51134, 51232, 51134, 51325, 69204, 51198, 58045, 51232, 54166, 51512, 56249, 51429, 50840, 64680, 51134, 51232, 51134, 51099, 51134, 51153, 51134, 51069, 51134, 51011, 51047, 50856, 50940, 55592, 58967, 64436, 52810, 59247, 50813, 54127, 58970, 65362, 52781, 62920, 50915, 51869, 51134, 51232, 51134, 51099, 51134, 51429, 51134, 51153, 51134, 50953, 50820, 50953, 51047, 50856, 50858, 51955, 54046, 54663, 64351, 50878, 54820, 50890, 50799, 64351, 51134, 51876, 51452, 51232, 51452, 51119, 51452, 51489, 51452, 50945, 50820, 50945, 51452, 50856, 50940, 55592, 58967, 61934, 52810, 61454, 50813, 54127, 58970, 62920, 50813, 51720, 52781, 61454, 51134, 51720, 73497, 50858, 51955, 54046, 50890, 54820, 50890, 69935, 51452, 51198, 51452, 51512, 51452, 51429, 51452, 51019, 51452, 51817, 51452, 50856, 50940, 55592, 58967, 64436, 52810, 65362, 50813, 54127, 58970, 62920, 52781, 61454, 57075, 54651, 61934, 56060, 64351, 51115, 50903, 54046, 50890, 54820, 50890, 59649, 50915, 51232, 50915, 51144, 51452, 51119, 51452, 51489, 51452, 50945, 51714, 51720, 51714, 50856, 73427, 61454, 52524, 62920, 50813, 51876, 51452, 51232, 51452, 50856, 58967, 65362, 52810, 59247, 51397, 54127, 54957, 50856, 50858, 51955, 54046, 68750, 53366, 50810, 51869, 76577, 50820, 50953, 57450, 54733, 50810, 52477, 50810, 51325, 54049, 50890, 64680, 51134, 51847, 51134, 51119, 51134, 51516, 51134, 51011, 73497, 61955, 59247, 55440, 68226, 51397, 50856, 50890, 54127, 54957, 52040, 51043, 51198, 73529, 51435, 51043, 51415, 73315, 54596, 51847, 51043, 51232, 73529, 51516, 51043, 52022, 50878, 50903, 54046, 59994, 64351, 53211, 61934, 50813, 54820, 59022, 63689, 51101, 61310, 51134, 51144, 51134, 51119, 51134, 51435, 51134, 51271, 73497, 61955, 61934, 53910, 64351, 52524, 61934, 55892, 58967, 64351, 52810, 61934, 51134, 54127, 54957, 51280, 51134, 51232, 51134, 51144, 51134, 51119, 51134, 51435, 51134, 51133, 73497, 54596, 61934, 56651, 54046, 59994, 62920, 53211, 61454, 50813, 54820, 59022, 64351, 50813, 50799, 61454, 50813, 52040, 51134, 51198, 51134, 51119, 51134, 51275, 51134, 51516, 51134, 51415, 62211, 50940, 50417, 62920, 53299, 61454, 51134, 55592, 50890, 54127, 54957, 51708, 51134, 51144, 51134, 51119, 51134, 51153, 51134, 51516, 73497, 54651, 51011, 69204, 62920, 56651, 54046, 59994, 59247, 53211, 65362, 50813, 54820, 59022, 62920, 50813, 50799, 65362, 50813, 52477, 51134, 51232, 51134, 51512, 51134, 51429, 51134, 51489, 51134, 51325, 73497, 50940, 50417, 59247, 53299, 65362, 51134, 55592, 50890, 54127, 54957, 53483, 51134, 51198, 51134, 51119, 51134, 51275, 51134, 52070, 51134, 51213, 73497, 54596, 59247, 56651, 54046, 59994, 61837, 53211, 50729, 50324, 50813, 54820, 59022, 59247, 50813, 50799, 50729, 50324, 50878, 52533, 51134, 51232, 51134, 51429, 51134, 51019, 73497, 61955, 65362, 55440, 61454, 57075, 57748, 61934, 55467, 61934, 50810, 52176, 51134, 51232, 51134, 51429, 51134, 50927, 51134, 51206, 67760, 64351, 58638, 61454, 52843, 61454, 61481, 62920, 57450, 65362, 50810, 50799, 59247, 51151, 52537, 51151, 51232, 51151, 51099, 51151, 51153, 51151, 51069, 51151, 51206, 53650, 69302, 57530, 52537, 50878, 51489, 51047, 51516, 51047, 51011, 67880, 60397, 50858, 51402, 54718, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 51478, 50880, 51940, 50880, 51708, 54371, 60397, 57781, 51770, 50880, 52150, 50880, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 51940, 51192, 53253, 51192, 52537, 51559, 54362, 52537, 55576, 60397, 50858, 51572, 54651, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51618, 54596, 51478, 50880, 51940, 50880, 51708, 50845, 51489, 51043, 51578, 56959, 60397, 58639, 51770, 50806, 52150, 50806, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51453, 56860, 52537, 51559, 50858, 62871, 50878, 51153, 51047, 51639, 51047, 50945, 67880, 75269, 50858, 51402, 54718, 52106, 50880, 52150, 50880, 51876, 50878, 51561, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 52856, 50880, 51940, 50880, 51876, 54371, 75269, 57781, 52106, 50880, 52150, 50880, 51561, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 52150, 50936, 60219, 50936, 52785, 51559, 54362, 52785, 55576, 75269, 58746, 52150, 50880, 60219, 51864, 54651, 52150, 50880, 53253, 50880, 51876, 50878, 51561, 50878, 68177, 51153, 52854, 50858, 51618, 54596, 52106, 50880, 52150, 50880, 51876, 50845, 51275, 51043, 51435, 56959, 75269, 58639, 52856, 50806, 51940, 50806, 51561, 50845, 51099, 50845, 51153, 52839, 50858, 51453, 56860, 52785, 51559, 50858, 67094, 50878, 51232, 50878, 68177, 70445, 51489, 51047, 51516, 51047, 51069, 67880, 75269, 50858, 51402, 54718, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 51478, 50880, 51940, 50880, 51708, 54371, 75269, 57781, 51770, 50880, 52150, 50880, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 51940, 51192, 53253, 51192, 52537, 51559, 54362, 52537, 55576, 75269, 50858, 51572, 54651, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51618, 54596, 51478, 50880, 53253, 50880, 51708, 50845, 51578, 51043, 51837, 56959, 75269, 58639, 51770, 50806, 52150, 50806, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51453, 56860, 52537, 51559, 50858, 62871, 50878, 51153, 51047, 51639, 51047, 50945, 60881, 55637, 50858, 51402, 54718, 52106, 50880, 52150, 50880, 51876, 50878, 51561, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 52856, 50880, 51940, 50880, 51876, 54371, 55637, 57781, 52106, 50880, 52150, 50880, 51561, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 50680, 50340, 50936, 50680, 50343, 50936, 52785, 51559, 54362, 52785 ]
[ 0, 250, 8787, 3495, 8, 5175, 15229, 6, 42, 2125, 22750, 1626, 11098, 8, 10563, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 24897, 11739, 9, 856, 17993, 6, 21979, 8669, 6, 10170, 1499, 6, 8, 18558, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 17627, 17274, 2365, 3618, 2369, 4, 20, 762, 9, 272, 538, 31473, 7, 63, 4520, 8, 7168, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50791, 50962, 51544, 80022, 50809, 52320, 52349, 50761, 50299, 50813, 55553, 53793, 50761, 50299, 50874, 55553, 62659, 50913, 50890, 54272, 50914, 50885, 51542, 50847, 52519, 50979, 51318, 51531, 51313, 55553, 52071, 53208, 51991, 50798, 55043, 55607, 56247, 59980, 50909, 54211, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 51133, 51127, 50885, 51852, 50986, 51714, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 63193, 57578, 50979, 51627, 51136, 52071, 50913, 51475, 62468, 53330, 67166, 50909, 51283, 50442, 51471, 50443, 50913, 54305, 50885, 51333, 72975, 50929, 52071, 51240, 50813, 53721, 50857, 59848, 50913, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 61014, 55553, 50987, 53208, 50938, 69753, 50867, 53341, 63298, 51762, 50461, 59888, 50904, 54291, 50813, 54272, 51091, 50885, 51542, 77543, 50979, 51115, 52330, 51445, 55553, 51145, 53208, 51077, 50913, 52589, 52668, 68147, 53340, 51010, 62951, 51318, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50913, 53705, 51133, 51077, 50885, 52059, 51311, 51742, 50798, 57083, 50913, 50836, 51556, 53317, 59380, 57101, 52034, 58989, 51412, 50913, 51724, 50847, 51542, 50935, 51542, 50979, 51283, 51136, 51714, 51240, 51582, 53696, 50840, 53491, 64101, 50913, 54305, 50885, 52188, 50929, 52151, 51240, 60812, 55233, 51337, 54269, 51110, 53721, 51559, 53938, 50913, 71074, 53657, 55850, 55110, 50930, 54599, 63226, 70731, 51337, 63718, 51110, 51762, 50455, 50913, 52920, 50885, 51965, 50832, 54966, 57326, 51240, 50941, 52261, 50461, 50979, 51318, 50913, 50890, 54272, 51362, 74086, 50939, 51310, 51988, 51313, 55553, 51115, 53208, 55157, 55043, 55607, 56247, 50809, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 51133, 51623, 50885, 51852, 51246, 51677, 55553, 50892, 53208, 62736, 50857, 65906, 50830, 53198, 59533, 67009, 63193, 50979, 58507, 51477, 51136, 51313, 55553, 51043, 53208, 75991, 51475, 62468, 53330, 67166, 50939, 51477, 50442, 51471, 50443, 50913, 54305, 50885, 51333, 50929, 51422, 51240, 62120, 50979, 52048, 50446, 59888, 53487, 54291, 53259, 53721, 50857, 59848, 50913, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 51471, 51453, 55215, 50867, 53341, 63298, 51762, 52354, 51362, 50885, 51381, 79843, 75971, 51873, 51148, 50913, 52589, 52668, 68147, 53340, 51010, 60043, 51419, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50913, 53705, 50945, 51077, 50885, 52034, 50986, 52062, 50798, 57083, 50913, 50836, 51556, 53317, 59380, 50872, 51749, 50913, 51724, 50850, 51477, 50909, 51477, 51136, 51894, 51240, 51582, 53696, 50840, 53491, 64101, 50913, 54305, 50885, 51466, 50947, 52222, 51240, 60812, 51531, 53401, 50913, 51559, 64598, 52183, 54411, 51691, 51286, 50913, 71074, 53657, 55850, 55110, 50930, 54599, 63226, 51762, 50455, 50913, 52920, 51871, 51173, 50832, 54966, 57326, 51240, 50941, 52261, 50461, 50885, 52256, 50913, 50890, 52354, 51016, 50909, 51318, 50992, 51318, 50872, 51448, 53242, 51196, 50761, 50300, 52440, 70731, 74260, 55043, 55607, 56247, 50809, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 50945, 51623, 50885, 51806, 50986, 52168, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 52112, 50437, 53105, 58866, 64303, 50909, 51627, 51136, 52151, 50761, 50303, 54848, 55818, 51797, 50913, 51475, 62468, 53330, 67166, 50992, 51051, 53242, 51603, 50442, 51471, 50443, 50913, 54305, 50872, 52188, 50992, 51709, 51169, 51939, 51240, 58171, 50885, 51333, 51871, 51160, 50761, 50304, 53726, 53587, 51642, 53721, 50857, 59848, 50913, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 51471, 50454, 72132, 54848, 53081, 51797, 50455, 51691, 51286, 51453, 55215, 50867, 53341, 63298, 51762, 54272, 51204, 50885, 51391, 50909, 51318, 50847, 51310, 50979, 51535, 52183, 52097, 50761, 50304, 52988, 53587, 51671, 50913, 52589, 52668, 68147, 53340, 51010, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50986, 51680, 50913, 53705, 51133, 51591, 50885, 52034, 50798, 57083, 50913, 50836, 51556, 53317, 59380, 50913, 51724, 50909, 51477, 50979, 51283, 50847, 51749, 51136, 51145, 52183, 51354, 51240, 51582, 53696, 50840, 53491, 64101, 50913, 54305, 50885, 51330, 50929, 51742, 51240, 60812, 51691, 51379, 53721, 51559, 53938, 50913, 71074, 53657, 55850, 55110, 50930, 54599, 63226, 52183, 51354, 51762, 50455, 51691, 52085, 52920, 50832, 54966, 57326, 51240, 50941, 52261, 50461, 50913, 50890, 52563, 51091, 50848, 51419, 50847, 51310, 50935, 51318, 50872, 51318, 50761, 50303, 57232, 55818, 53142, 50798, 55043, 55607, 56247, 59980, 51666, 52097, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 50953, 50918, 50848, 52188, 50960, 52151, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 51531, 51559, 58855, 52393, 53813, 68898, 50935, 51108, 67907, 50970, 52151, 51666, 66149, 51475, 62468, 53330, 62505, 51471, 50443, 50913, 54305, 50848, 52063, 51076, 51313, 52183, 50911, 51240, 50813, 53721, 50857, 59848, 51666, 77048, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 61014, 51531, 50923, 50761, 50299, 51737, 55553, 51079, 69753, 50867, 53341, 63298, 51762, 57746, 51318, 50848, 51535, 51042, 52071, 52330, 51655, 55553, 52727, 53208, 51243, 50913, 52589, 52668, 68147, 53340, 51010, 50415, 50953, 51091, 50847, 52136, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50913, 53705, 50953, 51742, 50988, 52136, 50960, 79780, 57083, 50913, 50836, 51556, 53317, 59380, 50913, 51724, 50848, 51542, 50970, 51742, 51240, 51582, 53696, 63539, 50872, 52256, 53491, 64101, 50913, 54305, 50929, 52062, 51240, 50857, 53721, 51559, 53938, 50913, 71074, 53657, 55850, 55110, 71366, 50885, 51419, 50913, 50890, 50799, 51813, 51030, 51133, 51204, 50979, 51749, 50847, 51749, 50798, 55043, 62334, 59980, 50909, 51477, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 51813, 77048, 50867, 51510, 52992, 50913, 51049, 67854, 60527, 55658, 51471, 50430, 51813, 57359, 51133, 51103, 50885, 52378, 50986, 52015, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 63193, 51813, 50936, 50979, 51637, 50847, 51477, 51136, 52222, 50913, 56826, 53330, 67166, 50909, 51961, 50442, 51471, 50443, 50913, 54305, 51813, 79854, 52378, 50929, 52071, 51240, 50813, 53721, 50857, 59848, 51882, 66149, 63390, 56854, 50821, 61695, 50962, 54599, 51008, 61014, 52086, 51030, 69753, 50867, 53341, 63298, 51762, 50799, 52914, 51286, 51133, 51204, 50885, 51419, 50935, 51318, 50847, 51310, 50979, 77227, 52589, 62011, 53340, 51010, 51402, 63222, 50913, 70421, 54121, 55946, 52914, 51175, 50913, 53065, 60811, 50913, 50887, 51768, 52938, 58730, 58129, 51468, 50431, 50913, 53705, 52914, 50858, 51133, 51077, 50885, 52034, 51311, 67880, 57083, 50913 ]
[ 0, 250, 15352, 30054, 3495, 2214, 11509, 657, 8, 11098, 6, 4246, 10, 20535, 2810, 6, 13305, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 9, 17072, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 163, 6, 230, 6, 163, 119, 1176, 406, 6, 83, 6, 8, 272, 3639, 7, 63, 13363, 28191, 2369, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 80011, 66222, 50791, 50811, 55753, 52206, 51029, 51556, 60681, 52206, 64070, 51214, 51055, 51601, 51214, 72872, 54935, 52206, 51745, 50443, 50791, 57795, 52206, 52325, 51214, 51454, 56020, 51214, 51454, 51510, 58212, 52206, 51745, 52320, 60370, 52206, 51012, 51809, 51214, 51090, 50430, 51214, 52448, 58772, 52206, 51059, 55779, 50811, 51809, 52206, 54433, 51214, 51735, 50430, 51456, 58976, 51224, 60103, 57167, 52417, 51224, 57514, 51214, 51235, 50438, 51224, 55384, 51289, 52267, 51326, 55255, 56721, 52206, 51059, 50900, 51896, 51085, 51685, 50916, 51685, 50861, 51977, 50801, 52923, 50809, 52177, 51085, 61512, 53903, 61640, 64644, 52206, 71373, 52206, 50950, 50431, 51026, 51239, 52750, 59693, 50916, 53819, 50311, 51879, 50282, 51379, 55203, 54815, 52046, 51812, 59135, 50791, 56721, 50916, 51241, 51841, 51029, 50965, 51291, 50973, 51623, 51315, 73840, 50857, 51621, 53432, 50837, 60212, 51841, 51603, 50916, 52311, 50804, 58099, 50791, 58976, 50965, 64286, 57039, 54637, 54957, 51841, 53287, 53111, 59135, 51841, 70056, 78127, 50965, 73751, 67046, 52640, 50279, 52516, 52279, 53736, 51841, 52590, 50941, 52478, 51247, 52530, 50297, 51661, 50900, 51472, 50871, 51446, 50877, 66914, 53340, 58221, 51247, 62138, 50804, 53903, 50445, 51247, 50950, 51050, 50803, 56041, 52873, 66803, 51315, 50894, 51841, 58615, 50801, 59934, 51197, 52640, 50283, 58971, 51156, 50817, 52478, 51799, 51029, 51120, 51356, 50899, 51358, 50989, 51518, 50877, 53363, 51206, 53432, 50840, 57809, 59575, 51799, 51735, 50804, 53903, 50446, 51120, 51685, 51956, 50449, 53667, 63756, 51799, 69266, 52195, 50801, 52873, 53736, 50801, 59652, 51799, 51354, 50989, 51226, 52478, 53667, 51021, 50419, 50804, 53903, 50425, 51799, 68391, 52917, 61814, 52206, 50824, 51085, 51685, 50900, 51896, 50916, 51685, 50861, 51977, 50433, 50801, 52873, 56877, 51085, 51072, 52612, 53903, 51647, 59036, 52206, 51031, 50460, 51026, 50846, 52206, 57888, 53111, 50811, 53069, 50900, 68549, 53819, 50311, 51879, 50282, 51379, 50801, 50971, 61236, 52046, 51812, 51156, 58167, 50916, 51241, 51841, 51029, 50965, 51291, 50973, 51623, 51315, 51264, 52095, 52526, 62968, 67534, 51471, 53061, 58268, 51841, 51603, 50916, 52311, 50791, 59616, 50965, 51218, 50461, 51471, 51809, 54637, 72531, 50801, 54878, 51841, 52153, 52630, 51841, 70056, 50941, 52261, 50433, 50965, 73751, 67046, 52640, 50279, 50950, 53924, 51156, 62968, 51841, 51331, 54926, 51247, 52530, 50297, 51661, 50900, 51472, 50871, 51446, 50877, 66914, 52873, 59154, 51471, 50461, 51247, 55637, 50811, 55669, 59852, 52261, 50427, 51247, 50950, 51050, 52651, 61822, 50791, 56987, 51315, 50894, 51841, 55075, 50941, 52261, 50441, 51197, 52640, 50283, 58971, 51156, 64223, 51799, 51029, 51120, 51356, 50899, 51358, 50989, 51518, 50877, 53363, 52006, 52526, 57859, 52112, 52591, 51799, 51735, 50421, 50804, 51670, 55316, 58860, 51120, 51685, 50428, 51762, 50431, 53667, 51010, 50434, 51799, 69266, 52195, 50801, 50840, 51556, 54129, 51799, 51388, 50989, 70910, 50904, 52112, 50448, 53667, 51021, 57048, 51156, 57859, 51799, 62175, 51437, 50883, 61628, 52035, 50304, 51285, 50916, 51870, 50861, 51977, 51085, 52369, 52006, 52526, 62938, 51026, 51160, 52206, 51072, 56468, 75964, 52896, 51026, 53819, 50304, 71476, 52206, 52590, 53111, 59788, 50916, 50811, 51841, 55855, 60062, 50900, 72115, 64985, 51214, 51575, 51463, 50811, 57346, 51238, 50916, 51500, 50877, 51227, 51279, 51343, 51279, 51991, 51206, 53432, 61291, 50791, 53593, 69315, 50877, 51828, 50289, 51290, 50968, 51294, 56468, 59071, 51028, 77561, 50973, 51012, 51931, 50445, 51841, 57795, 51279, 50858, 50877, 53287, 52873, 52193, 51279, 68138, 50904, 51931, 51601, 51040, 51828, 50284, 60973, 56036, 70232, 53903, 50422, 51279, 78689, 52771, 65760, 50801, 57903, 52206, 50976, 50900, 51091, 50916, 51661, 50861, 50918, 51085, 51941, 51206, 63895, 51026, 50910, 52206, 51066, 62177, 51156, 58977, 50900, 57006, 51956, 50456, 52206, 53194, 50306, 51483, 50861, 66191, 53065, 50817, 51601, 50916, 51665, 50284, 52862, 59993, 50900, 51581, 50287, 53710, 51463, 54396, 51040, 51419, 50877, 51241, 50916, 51189, 51279, 51189, 51279, 51469, 52006, 52526, 62602, 51970, 50443, 61741, 51040, 51215, 50916, 51354, 50877, 51235, 51279, 51345, 56468, 59616, 51841, 50811, 51809, 51279, 53841, 53065, 57369, 50801, 50904, 52105, 50423, 51279, 51192, 54321, 58459, 78568, 62927, 51841, 51331, 58212, 51279, 58768, 50904, 52112, 50443, 52206, 54774, 54400, 50900, 51362, 50916, 52195, 50861, 51896, 51206, 52568, 51085, 51358, 50457, 51026, 51483, 51085, 51072, 54124, 51156, 50817, 51809, 50900, 51167, 51402, 53203, 52206, 54381, 51085, 53819, 50299, 60809, 50801, 53111, 57834, 50899, 59021, 53318, 50292, 61515, 50801, 54220, 71150, 50916, 52717, 50311, 50833, 52206, 61037, 76870, 52267, 50899, 51274, 50877, 51343, 50989, 51496, 51027, 51077, 51120, 51585, 51206, 53432, 63793, 51799, 51870, 50452, 51931, 50458, 51471, 51809, 50804, 54024, 50899, 51157, 50989, 57543, 52959, 58242, 51762, 50427, 53667, 50811, 51027, 59225, 50801, 59833, 50899, 50884, 50989, 72199, 50895, 51799, 51594, 57776, 51799, 51505, 50989, 51566, 50801, 54728, 50899, 51160, 50877, 51290, 52261, 50444, 51120, 50830, 77126, 53667, 51812, 59135, 50791, 58614, 50989, 59772, 67504, 50800, 51799, 65426, 52465, 58323, 52206, 53751, 50304, 51091, 50916, 51661, 50861, 50918, 51085, 51941, 52095, 52526, 50817, 60212, 51026, 52545, 50292, 63924, 53903, 50431, 64566, 51842, 50437, 50801, 53891, 52206, 53819, 50306, 51483, 50861, 55706, 59587, 52206, 50976, 50916, 74039, 50941, 52105, 50452, 50900, 51731, 50279, 51812, 51636, 50458, 52006, 52526, 53736, 53667, 51300, 71349, 59740, 51040, 77464, 51343, 50877, 50983, 51279, 51141, 50425, 51931, 50431, 51279, 60493, 50804, 51156, 52676, 51040, 51110, 50916, 51290, 50877, 61298, 51842, 50442, 53667, 51010, 50445, 51279, 50950, 51279, 51345, 53026, 62353, 51279, 51138, 51224, 60103, 53736, 51841, 51060, 51456, 61994, 51224, 50825, 50799, 51326, 61792, 53667, 64800, 55255, 60517, 52206, 51059, 50900, 51896, 51085, 51685, 50916, 51685, 50861, 51977, 52822, 52311, 52269, 52311, 52664, 51407, 51683, 51407, 62578, 61692, 58167, 51960, 50439, 51085, 61512, 53903, 50446, 51956, 50449, 52206, 57443, 51026, 50846, 52206, 55572, 55181, 59022, 51799, 51379, 50460, 50900, 68549, 53819, 50311, 50890, 52706, 51388, 52449, 51388, 50801, 50904, 52105, 52719, 50976, 51648, 50976, 52478, 52046, 66576, 53564, 51388, 53282, 78708, 51156, 50817, 52970, 50976, 52099, 50976, 50425, 50916, 51241, 51841, 51029, 50965, 51291, 50973, 51623, 51315, 51264, 53559, 52208, 51888, 74899, 53022, 52208, 52006, 52526, 50817, 52851, 51184, 50433, 52105, 50439, 51931, 50446, 51841, 51603, 50916, 52311, 50804, 55059, 50798, 53340, 54085, 50965, 51218, 50454, 67920, 54637, 69738, 51841, 53287, 60870, 50791, 50817, 53069, 51841, 51354, 58018, 52905, 50965, 73751, 67046, 52640, 50279, 56701, 58860, 50791, 52265, 51841, 59786, 50801, 58662, 52105, 50440, 51247, 52530, 50297, 51661, 50900, 51472, 50871, 51446, 50877, 51291, 52495, 52311, 52889, 52311, 52095, 52526, 50817, 52103, 51407, 51713, 51407, 51618, 59753, 51247, 59165, 53903, 50461, 50791, 50855, 53069, 51050, 66683, 75832, 50801, 53340 ]
[ 0, 250, 20902, 5175, 2214, 19, 10, 2842, 9, 25771, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 3152, 6757, 6, 8, 26432, 636, 3938, 22052, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 748, 1879, 15525, 20889, 9, 24646, 741, 1685, 6, 42, 2125, 7630, 6568, 10, 32076, 8, 12298, 6711, 6, 442, 24, 10686, 13, 2365, 50, 3618, 930, 148, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 66268, 50882, 51672, 50859, 51231, 50823, 51672, 51033, 51457, 50952, 51457, 50823, 53927, 50938, 51981, 50805, 54310, 52864, 51231, 50855, 51231, 50855, 51672, 50864, 51672, 50864, 51672, 50987, 51457, 50987, 51231, 53172, 51672, 50808, 51672, 50808, 51231, 51033, 51231, 51033, 51457, 50952, 51457, 59099, 51231, 50840, 51231, 50840, 51672, 50855, 51672, 50855, 51672, 50955, 51231, 50866, 51457, 53264, 51672, 50859, 51672, 50859, 51457, 50859, 51457, 50859, 51231, 50952, 51231, 60835, 51231, 50809, 51231, 50809, 51672, 50862, 51672, 50862, 51672, 50955, 51457, 50878, 51231, 58038, 51672, 50812, 51672, 50812, 51231, 50921, 51231, 50921, 51457, 50952, 51457, 59349, 51231, 50809, 51231, 50809, 51672, 50840, 51672, 50840, 51457, 50897, 51231, 50938, 51672, 50866, 50799, 51672, 50859, 51672, 50859, 51457, 50821, 51457, 50821, 51231, 50921, 51231, 59723, 51231, 50880, 51231, 50880, 51672, 50862, 51672, 75470, 50917, 51672, 50866, 51457, 56800, 51672, 50833, 51672, 50833, 51231, 50952, 51231, 50952, 51457, 50897, 51457, 57066, 51231, 50880, 51231, 50880, 51672, 50862, 51672, 75470, 50897, 51672, 50878, 51457, 56057, 51672, 50812, 51672, 50812, 51231, 50830, 51231, 50830, 51457, 50830, 51457, 54630, 51231, 50809, 51231, 50809, 51672, 50813, 51672, 50813, 51231, 50910, 51672, 50942, 51457, 55620, 51672, 50808, 51672, 50808, 51457, 50808, 51457, 50808, 51231, 50910, 51231, 57939, 51231, 50809, 51231, 50809, 51672, 50840, 51672, 50840, 51231, 50910, 51672, 50878, 51457, 50897, 53655, 50849, 66268, 51014, 51672, 50952, 51457, 50921, 54310, 51192, 55383, 51226, 52690, 51226, 51457, 57676, 56333, 50362, 50412, 60165, 60150, 50420, 51672, 50813, 51231, 50808, 51231, 50800, 51672, 50844, 51457, 50833, 53927, 50849, 51672, 54834, 59752, 50361, 50412, 58424, 54691, 50426, 51231, 50821, 51672, 50812, 51457, 50859, 51231, 52045, 51981, 54300, 58563, 50361, 50411, 67058, 50361, 50411, 50432, 51231, 50846, 51672, 50836, 51231, 50897, 51672, 50942, 51457, 56057, 51457, 50800, 51231, 50830, 51672, 58937, 51231, 50809, 51672, 50836, 51231, 50910, 51672, 50878, 51457, 57006, 51231, 50821, 51672, 50833, 51457, 54418, 51231, 50836, 51672, 50813, 51231, 50833, 51672, 50925, 51457, 50925, 50799, 51672, 50812, 51457, 50859, 51231, 63817, 51231, 50809, 51672, 75470, 50812, 51457, 50812, 51672, 57629, 51231, 50821, 51672, 50808, 51457, 53974, 51231, 50887, 51672, 50855, 51231, 50812, 51672, 50854, 51457, 52841, 51231, 50894, 51672, 50812, 51457, 54811, 51231, 50840, 51672, 50857, 51231, 50812, 51672, 50810, 51457, 53639, 51672, 50812, 51457, 50859, 51231, 62620, 51231, 50809, 51672, 50840, 51231, 50833, 51672, 50810, 51457, 50833, 66268, 50813, 51231, 50930, 51672, 50859, 51457, 51033, 55383, 50896, 52690, 51294, 52978, 69551, 51672, 50810, 51457, 50901, 51672, 63559, 51231, 50864, 51231, 50855, 51672, 50854, 51457, 53627, 53655, 50812, 51231, 50810, 51672, 50955, 51457, 50849, 51672, 64967, 51231, 50837, 51231, 50821, 51672, 50833, 51457, 50821, 55383, 51238, 52690, 51238, 55142, 52711, 51231, 50822, 51672, 51008, 51457, 50937, 51672, 53562, 51231, 50829, 51231, 50821, 51672, 50833, 51457, 51754, 51457, 50837, 51231, 50810, 51672, 50810, 51457, 50938, 51672, 50849, 66268, 50863, 51231, 50834, 51672, 50854, 51457, 51835, 51231, 50833, 51249, 50812, 51327, 50808, 51457, 50833, 51327, 50937, 51249, 50873, 53655, 51472, 50426, 51231, 50829, 51231, 50971, 51249, 50874, 51327, 52739, 51457, 50864, 51231, 50844, 51249, 50844, 51327, 50810, 51249, 50805, 51327, 50805, 52978, 53415, 51231, 50835, 51231, 50835, 51249, 50857, 51457, 50886, 51327, 50844, 52978, 53524, 53655, 50808, 51719, 50925, 51327, 50878, 51457, 50878, 51249, 50938, 51249, 50845, 51327, 50873, 52978, 54208, 51719, 50886, 51719, 50857, 51249, 50862, 51327, 50886, 51457, 50867, 53655, 50833, 52978, 54583, 53655, 50857, 51719, 50904, 51249, 50857, 51457, 50857, 51249, 50925, 51327, 50937, 54148, 50855, 78937, 50863, 51231, 50800, 51672, 50859, 51457, 50910, 55383, 51060, 52690, 50967, 52978, 54507, 51231, 50867, 51672, 51008, 51672, 50937, 51457, 56800, 51231, 50855, 51672, 50833, 51457, 51628, 51231, 50930, 53655, 50882, 51672, 50882, 51672, 50866, 51457, 56282, 51231, 72980, 50800, 51672, 50859, 51457, 50859, 55383, 51100, 52690, 51095, 55142, 54207, 51231, 50813, 51672, 50878, 51672, 50977, 51457, 55758, 51231, 50829, 51231, 50910, 51672, 50910, 51457, 57973, 51231, 50827, 51672, 50955, 51672, 50977, 51457, 50938, 66268, 50925, 51672, 50925, 51457, 63817, 51231, 50833, 51249, 50833, 51327, 50810, 51249, 50878, 51327, 50910, 51457, 50878, 51457, 50937, 53655, 69555, 51249, 50864, 51327, 54860, 51457, 50855, 51231, 50833, 51249, 50833, 51327, 50844, 53655, 50897, 51327, 50878, 51249, 50866, 51457, 50866, 52978, 52781, 53655, 50813, 51719, 50864, 51249, 50813, 51457, 50857, 51231, 50844, 51327, 50822, 52978, 54758, 51457, 50864, 53655, 50854, 51249, 50833, 51719, 50925, 51249, 50917, 51327, 50873, 51327, 51194, 52978, 53938, 51457, 50835, 51719, 51000, 51249, 50857, 53655, 50844, 52978, 55370, 51457, 50835, 53655, 50855, 51719, 50857, 51249, 73879, 50942, 51327, 50937, 54148, 50855, 66513, 50821, 51249, 50821, 51327, 50800, 56698, 51111, 53075, 51095, 52978, 52871, 51303, 50867, 51249, 50813, 51327, 50854, 51249, 50977, 51327, 56800, 51303, 50864, 51327, 50864, 51303, 50810, 51249, 50854, 52803, 54216, 51327, 50855, 51303, 50844, 51249, 50833, 53248, 50925, 51249, 50873, 51327, 51101, 55142, 53894, 51303, 50863, 51303, 50808, 51249, 50808, 51327, 50921, 56698, 50873, 53075, 51091, 54033, 54840, 51303, 50867, 51327, 50867, 51249, 50833, 51249, 50917, 51327, 57415, 51303, 50863, 51303, 50857, 51249, 50833, 51327, 50808, 54148, 54166, 51303, 50864, 51249, 50844, 51249, 50925, 51327, 50873, 66513, 50837, 51303, 50857, 51327, 50857, 51249, 50810, 53075, 50925, 52978, 55777, 51303, 50859, 51414, 50882, 52303, 50910, 51457, 50921, 51414, 50865, 51457, 56412, 51303, 75630, 50854, 51457, 50844, 52303, 51312, 50432, 51457, 50834, 51303, 50886, 51414, 50833, 51457, 50865, 51414, 67174, 51303, 50834, 51303, 50855, 52303, 50854, 51414, 50833, 51457, 52597, 51476, 50882, 51465, 50821, 65652, 51327, 50830, 51327, 50938, 51231, 50805, 52803, 53688, 51465, 50886, 51476, 50822, 51465, 50810, 51231, 50810, 51327, 50942, 52803, 53875, 51476, 50855, 51465, 50813, 51327, 50857, 51231, 50810, 51231, 50938, 51327, 50937, 67718, 50835, 51231, 50821, 51672, 50808, 51457, 50952, 52690, 51192, 52978, 51835, 51231, 50886, 51457, 50857, 51672, 50822, 51672, 50937, 51457, 54919, 51231, 50863, 51231, 50862, 51672, 50812, 51457, 54372, 53655, 50808, 51231, 50854, 51672, 50854, 51672, 50845, 51457, 53470, 51231, 50825, 65652, 51672, 50808, 51457, 50952, 52690, 51215, 55383, 51238, 55142, 54400, 51457, 50837, 51231, 50925, 51672, 50878, 51457, 50917, 51672, 55125, 51231, 50825, 51231, 50840, 51672, 50833, 51457, 54896, 51231, 50810, 51672, 50878, 51457, 50937, 51672, 50901, 66268, 50835, 51672, 50833, 51457, 51835, 53655, 50821, 65652, 51249, 50812, 51457, 73879, 50878, 51327, 50925, 51327, 50910, 51457, 57499, 51231, 50864, 51249, 50886, 53655, 50984, 51327, 53513, 51249, 50840, 51457, 50836, 65652, 51327, 50810, 53655, 50897, 51249 ]
[ 0, 250, 20902, 8, 15352, 30054, 5862, 13134, 2214, 4246, 10, 11577, 12547, 9, 21072, 6, 13305, 6, 326, 5638, 18026, 6, 38668, 2236, 6, 8, 32909, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 230, 6, 274, 401, 6, 8, 272, 119, 17992, 7, 5, 2214, 18, 17627, 17274, 8, 1372, 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 ]	[ 58402, 50801, 56088, 54094, 60527, 54925, 75744, 51706, 50886, 52157, 51309, 51485, 51500, 51579, 50975, 52058, 51112, 51866, 51354, 71855, 52432, 50913, 59043, 52314, 51033, 52698, 58218, 50903, 53414, 52245, 58830, 51706, 50864, 76348, 51144, 53383, 51140, 62123, 56088, 54094, 59556, 56171, 51485, 50836, 51509, 50887, 52058, 50857, 51702, 54216, 51706, 51412, 51099, 51221, 50903, 55140, 52245, 54288, 50903, 52543, 52766, 52157, 51309, 50801, 56088, 55691, 59556, 58431, 51485, 50887, 71555, 52058, 50855, 51702, 54989, 50903, 52543, 57028, 51144, 50810, 51099, 56317, 50903, 56122, 52245, 60044, 51485, 50887, 71733, 52058, 50855, 51866, 56604, 50801, 56088, 55691, 59556, 56086, 51198, 50855, 51140, 51277, 50453, 51485, 50887, 51579, 51010, 52058, 50855, 51866, 54647, 51706, 50833, 51485, 50862, 51509, 50880, 52058, 50886, 51702, 56880, 53317, 52245, 54794, 50903, 52245, 50829, 60603, 50886, 51099, 53309, 56088, 54094, 60527, 54925, 51461, 51277, 51431, 50948, 51579, 51505, 51947, 50917, 51866, 51192, 71855, 52432, 51431, 50925, 52314, 50823, 51947, 50955, 52698, 75820, 54104, 51280, 51174, 51144, 50978, 50903, 53414, 52245, 52762, 51140, 51309, 51431, 50809, 51509, 50883, 51947, 50862, 51702, 54005, 56088, 54094, 59556, 52209, 50903, 55140, 52245, 57107, 51280, 51423, 51099, 51233, 50435, 50903, 52543, 52766, 51461, 51277, 50801, 56088, 55691, 59556, 52210, 51144, 61319, 52543, 54368, 50903, 56122, 52245, 52802, 51561, 53309, 56088, 55691, 59556, 56086, 51140, 51277, 50455, 51280, 54194, 50903, 53317, 52245, 54794, 50903, 52245, 50829, 60603, 50904, 58444, 51461, 50838, 51579, 50976, 51866, 51505, 50801, 56088, 54094, 60527, 54925, 51431, 51379, 51509, 50949, 51947, 50967, 51702, 58486, 51170, 52432, 52314, 50894, 52698, 55065, 54104, 51280, 50874, 51144, 63088, 53414, 52245, 52762, 51509, 50962, 51431, 50887, 51702, 50887, 51947, 53933, 56088, 54094, 59556, 56171, 51140, 70402, 51099, 51110, 50903, 55140, 52245, 57107, 51280, 51423, 50435, 50903, 52543, 50829, 51658, 56088, 55691, 59556, 56484, 51461, 51006, 50443, 51431, 50890, 71555, 51947, 50836, 51702, 54989, 51144, 60629, 52543, 57028, 51280, 55686, 50903, 56122, 52245, 60044, 51431, 50809, 71733, 51947, 50855, 51866, 54411, 51561, 50854, 51140, 62123, 56088, 55691, 59556, 57109, 51431, 50924, 51579, 50949, 51947, 50937, 51866, 53685, 51706, 50867, 51280, 50867, 51509, 51010, 51702, 69573, 53317, 52245, 54794, 50903, 52245, 56172, 51198, 50841, 51144, 50841, 51099, 50884, 51119, 50846, 51308, 50828, 59670, 50827, 51485, 50883, 51509, 50817, 52336, 51010, 52058, 50818, 51702, 50949, 52178, 50880, 51768, 51724, 50903, 58350, 51140, 56197, 51560, 53996, 51461, 62413, 54418, 52157, 50864, 51755, 56088, 54094, 55300, 54925, 51706, 50974, 51099, 50845, 52157, 50825, 51140, 51309, 51485, 51653, 51579, 50976, 52058, 51160, 51866, 51388, 71855, 52432, 50913, 59043, 52314, 50940, 52698, 67761, 50903, 53414, 52245, 58830, 51706, 50864, 51144, 53906, 52157, 51277, 51485, 50809, 51509, 50880, 52058, 50862, 51702, 52773, 56088, 54094, 59556, 52209, 51706, 51534, 51099, 51025, 50903, 55140, 52245, 54288, 50903, 52543, 52766, 51140, 62123, 56088, 55691, 59556, 58408, 51485, 50880, 71555, 52058, 50840, 51702, 54989, 50903, 52543, 57028, 51144, 55118, 50903, 56122, 52245, 60044, 51485, 50930, 71733, 52058, 50809, 51866, 56604, 52157, 55930, 56088, 55691, 59556, 56086, 51198, 65556, 51485, 50887, 71733, 52058, 50855, 51866, 54647, 51706, 58713, 53317, 52245, 57534, 51485, 50840, 71555, 52058, 50813, 51702, 57521, 50903, 52245, 56172, 51140, 51172, 60603, 51006, 51099, 55675, 56088, 54094, 60527, 54925, 51431, 50948, 51579, 50976, 51947, 50938, 51866, 51388, 71855, 52432, 51431, 50867, 52314, 50803, 51947, 50904, 52698, 53540, 54104, 51280, 51008, 51144, 50942, 50903, 53414, 52245, 52762, 51461, 50838, 51431, 50840, 51509, 50930, 51947, 50862, 51702, 52773, 56088, 54094, 59556, 52209, 50903, 55140, 52245, 57107, 51099, 51363, 51280, 51423, 50435, 50903, 52543, 52766, 51140, 62123, 56088, 55691, 59556, 52210, 50903, 52543, 57028, 51144, 54803, 50903, 56122, 52245, 52802, 51561, 50813, 51461, 55056, 56088, 55691, 59556, 52349, 51280, 58713, 53317, 52245, 54794, 50903, 52245, 50829, 60603, 50978, 51099, 50901, 51431, 51460, 51579, 50976, 51947, 51238, 51866, 51388, 50801, 56088, 54094, 60527, 54925, 51140, 51309, 71855, 52432, 52314, 50921, 52698, 50910, 50913, 54104, 50903, 53414, 52245, 58830, 51280, 50822, 51144, 53049, 51461, 51277, 51431, 50809, 51509, 50883, 51947, 50855, 51702, 54376, 56088, 54094, 59556, 52209, 51280, 51233, 51099, 51110, 50903, 55140, 52245, 54288, 50903, 52543, 50829, 51658, 56088, 55691, 59556, 56484, 51140, 72194, 51485, 50880, 71555, 52058, 50840, 51702, 57736, 79633, 51280, 64903, 52543, 54368, 50903, 56122, 52245, 56918, 51485, 50887, 71733, 52058, 50855, 51866, 54411, 51561, 50862, 51461, 51277, 50801, 56088, 55691, 59556, 57109, 51485, 50840, 51579, 50880, 52058, 50862, 51866, 61519, 51280, 54199, 50903, 53317, 52245, 57534, 51485, 50855, 71555, 52058, 50857, 51702, 63574, 50903, 52245, 56172, 51706, 50862, 51099, 50809, 51198, 50846, 51494, 50839, 53202, 72614, 67972, 51485, 50880, 79121, 51509, 50949, 52058, 50809, 52178, 50962, 51702, 59653, 52228, 50887, 51979, 68491, 52365, 51820, 52228, 50836, 51978, 50383, 63599, 52513, 52228, 50813, 51979, 50384, 54502, 59186, 52809, 52228, 50917, 51979, 55433, 51978, 64961, 52157, 51309, 61310, 50836, 51706, 50813, 51979, 55461, 56088, 53589, 54925, 52228, 58160, 51170, 52432, 52228, 50855, 51978, 55473, 54104, 51099, 62421, 53414, 52245, 58830, 51706, 53803, 51140, 62123, 56088, 53414, 52209, 51706, 51534, 51144, 51377, 50903, 55140, 52245, 54288, 50903, 52543, 57405, 52228, 50809, 51979, 60364, 52157, 51277, 50801, 56088, 56122, 52210, 52228, 50840, 51978, 67344, 52543, 57028, 51099, 50867, 51706, 54043, 52228, 50862, 51979, 67344, 56122, 52245, 52802, 51144, 50886, 51140, 51277, 50801, 56088, 56122, 56086, 51706, 66379, 52228, 50836, 51979, 54663, 51198, 50867, 52228, 50813, 51978, 50962, 51979, 64868, 53317, 52245, 54794, 50903, 52245, 56172, 51461, 51309, 60603, 50827, 75744, 51979, 54020, 56088, 53589, 54925, 52394, 57368, 51170, 52432, 52394, 50855, 51978, 55473, 54104, 51280, 50867, 51144, 60369, 53414, 52245, 52762, 51140, 51309, 50801, 56088, 53414, 52209, 51280, 51242, 51561, 51178, 50903, 55140, 52245, 54288, 50903, 52543, 52766, 51461, 51006, 52394, 50859, 51979, 52750, 56088, 56122, 52210, 51099, 50822, 52394, 50855, 51978, 71074, 52543, 54368, 50903, 56122, 52245, 60044, 52394, 50857, 51979, 52555, 51144, 50874, 51280, 51000, 51140, 51309, 50801, 56088, 56122, 53545, 52394, 50855, 51979, 55433, 51561, 63088, 53317, 52245, 57534, 52394, 50857, 51978, 63574, 50903, 52245, 50829, 66301, 50854, 51461, 50933, 51979, 57888, 56088, 53589, 54639, 51170, 52432, 52394, 80144, 54104, 51280, 50874, 51144, 50813, 52608, 60764, 53414, 52245, 56982, 51140, 51309, 62578, 56088, 53414, 54013, 51979, 56629, 51099, 51178, 51978, 67854, 55140, 52245, 57107, 51280, 52482, 50435, 50903, 52543, 57405, 51461, 51277, 51979, 50962, 51658, 56088, 56122, 58431, 52394, 60204, 51144, 63088, 52543, 54368, 52608, 76132, 56122, 52245, 56918 ]
[ 0, 250, 33928, 8, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 7630, 14805, 6453, 9, 657, 8, 7125, 149, 63, 5679, 26709, 34879, 8, 5, 16331, 33215, 16739, 9, 272, 119, 6, 230, 406, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50426, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 59205, 51076, 51631, 59241, 59205, 51076, 51736, 59241, 59205, 61830, 51057, 62978, 72158, 50929, 53561, 51032, 51631, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 51057, 70095, 51504, 50918, 51136, 63229, 50947, 51835, 50929, 52296, 50970, 51620, 50998, 54253, 50970, 51628, 50929, 52262, 68387, 51057, 59241, 63139, 53271, 54994, 50970, 51631, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 51076, 53471, 50970, 51620, 59241, 51076, 54253, 50970, 51628, 59241, 51076, 53505, 68421, 51057, 72158, 58352, 51032, 52910, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 66702, 63139, 51504, 58076, 50970, 51835, 59241, 51064, 53471, 50970, 51620, 50625, 57304, 51504, 57102, 50970, 51628, 67674, 50947, 53505, 68421, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 59205, 51076, 51631, 59241, 59205, 51076, 51736, 59241, 59205, 61830, 51057, 62978, 72158, 50929, 53561, 51032, 51631, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 51057, 70095, 51504, 50918, 51136, 63229, 50947, 51835, 50929, 52296, 50970, 51620, 50998, 54253, 50970, 51628, 50929, 52262, 68387, 51057, 59241, 63139, 53271, 54994, 50970, 51631, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 51076, 53471, 50970, 51620, 59241, 51076, 54253, 50970, 51628, 59241, 51076, 53505, 68421, 51057, 72158, 58352, 51032, 52910, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 66702, 63139, 51504, 58076, 50970, 51835, 59241, 51064, 53471, 50970, 51620, 50625, 57304, 51504, 57102, 50970, 51628, 67674, 50947, 53505, 68421, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50429, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 67674, 59205, 60502, 51131, 53561, 67674, 59205, 51032, 51631, 59241, 59205, 63139, 51246, 53182, 59241, 59205, 63139, 51057, 74584, 50947, 50991, 51504, 50918, 50986, 50918, 50423, 50970, 54253, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 56422, 59205, 57304, 51549, 52115, 59205, 57304, 51549, 51631, 75045, 59205, 63139, 51067, 51736, 59205, 63139, 62978, 51057, 51504, 50918, 51504, 76971, 50970, 79508, 50947, 51091, 50419, 51032, 65183, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 66952, 59241, 59205, 51076, 51631, 66952, 59241, 59205, 51076, 51736, 66952, 59241, 59205, 61830, 51057, 51207, 50918, 51207, 76971, 51136, 79508, 50929, 51091, 50419, 51032, 65183, 51032, 52765, 51067, 51628, 51549, 52262, 51438, 50800, 66702, 51563, 52910, 70655, 72158, 50970, 62526, 50428, 50625, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50429, 50970, 58607, 50929, 52359, 50970, 57307, 50929, 53307, 50998, 58291, 71705, 51057, 67674, 59205, 60502, 51131, 53561, 67674, 59205, 51032, 51631, 59241, 59205, 63139, 51246, 53182, 59241, 59205, 63139, 51057, 74584, 50947, 50991, 51504, 50918, 50986, 50918, 50423, 50970, 54253, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 56422, 59205, 57304, 51549, 52115, 59205, 57304, 51549, 51631, 75045, 59205, 63139, 51067, 51736, 59205, 63139, 62978, 51057, 51504, 50918, 51504, 76971, 50970, 79508, 50947, 51091, 50419, 51032, 65183, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 66952, 59241, 59205, 51076, 51631, 66952, 59241, 59205, 51076, 51736, 66952, 59241, 59205, 61830, 51057, 51207, 50918, 51207, 76971, 51136, 79508, 50929, 51091, 50419, 51032, 65183, 51032, 52765, 51067, 51628, 51549, 52262, 51438, 50800, 66702, 51563, 52910, 50625, 70655, 72158, 50970, 62526, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50432, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 63127, 61830, 51057, 50947, 50983, 51032, 60055, 51444, 51631, 51444, 53182, 61675, 63139, 51057, 61662, 57304, 51444, 54994, 61675, 51064, 51631, 57304, 51032, 51736, 61662, 57304, 51057, 51064, 57484, 50807, 51207, 50918, 50419, 51032, 52628, 51064, 58741, 50947, 53467, 51064, 58067, 67640, 51032, 52329, 63139, 51067, 51736, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 61662, 57304, 51057, 71048, 51032, 53561, 51444, 59492, 61675, 51064, 51736, 61662, 57304, 51057, 61675, 63139, 51207, 54994, 51136, 60010, 50929, 59474, 51064, 52329, 59241, 50428, 50929, 57766, 51064, 52359, 51317, 57775, 50929, 59079, 51064, 50809, 51057, 51444, 50918, 51444, 76971, 50960, 79508, 51078, 51091, 50419, 50947, 69467, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 63127, 61830, 51057, 50947, 50983, 51032, 60055, 51444, 51631, 51444, 53182, 61675, 63139, 51057, 61662, 57304, 51444, 54994, 61675, 51064, 51631, 57304, 51032, 51736, 61662, 57304, 51057, 51064, 57484, 50807, 51207, 50918, 50419, 51032, 52628, 51064, 58741, 50947, 53467, 51064, 58067, 67640, 51032, 52329, 63139, 51067, 51736, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 61662, 57304, 51057, 71048, 51032, 53561, 51444, 59492, 61675, 51064, 51736, 61662, 57304, 51057, 61675, 63139, 51207, 54994, 51136, 60010, 50929, 59474, 51064, 52329, 50626, 59241, 50428, 50929, 57766, 51064, 52359, 51317, 57775, 50929, 59079, 51064, 50809, 51057, 51444, 50918, 51444, 76971, 50960, 79508, 51078, 51091, 50419, 50947, 65183, 50628, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 59205, 51076, 51631, 59241, 59205, 51076, 51736, 59241, 59205, 61830, 51057, 62978, 72158, 50929, 53561, 51032, 51631, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 51057, 70095, 51504, 50918, 51136, 63229, 50947, 51835, 50929, 52296, 50970, 51620, 50998, 54253, 50970, 51628, 50929, 52262, 68387, 51057, 59241, 63139, 53271, 54994, 50970, 51631, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 51076, 53471, 50970, 51620, 59241, 51076, 54253, 50970, 51628, 59241, 51076, 53505, 68421, 51057, 72158, 58352, 51032, 52910, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 66702, 63139, 51504, 58076, 50970, 51835, 59241, 51064, 53471, 50970, 51620, 50625, 57304, 51504, 57102, 50970, 51628, 67674, 50947, 53505, 68421, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50429, 50970, 58607, 50929, 52359, 50970, 57307, 50929, 53307, 50998, 58291, 71705, 51057, 67674, 59205, 60502, 51131, 53561, 67674, 59205, 51032, 51631, 59241, 59205, 63139, 51246, 53182, 59241, 59205, 63139, 51057, 74584, 50947, 50991, 51504, 50918, 50986, 50918, 50423, 50970, 54253, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 56422, 59205, 57304, 51549, 52115, 59205, 57304, 51549, 51631, 75045, 59205, 63139, 51067, 51736, 59205, 63139, 62978, 51057, 51504, 50918, 51504, 76971, 50970, 79508, 50947, 51091, 50419, 51032, 65183, 51067, 52765, 51549, 51628, 51292, 52262, 51438 ]
[ 0, 250, 8787, 5175, 15229, 19, 25771, 4785, 6, 17407, 30, 10, 2933, 8, 5679, 26709, 5466, 4, 16241, 212, 22052, 6, 36075, 8, 81, 9756, 29589, 6, 486, 118, 9877, 483, 6, 8, 21072, 35810, 561, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 30853, 23, 41, 178, 5285, 2877, 6, 19, 5, 40286, 163, 6, 230, 10431, 6, 8, 12608, 119, 442, 12577, 4961, 1328, 42, 23975, 34753, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52510, 51335, 57993, 51335, 53401, 51335, 59248, 51335, 52555, 52529, 50983, 56513, 50983, 51335, 63602, 51335, 54139, 51335, 59310, 51335, 52485, 51335, 58839, 51335, 53793, 51335, 57747, 51335, 50809, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 53561, 62868, 53964, 51631, 68879, 54338, 57247, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 63507, 53549, 57247, 63453, 51335, 54790, 51335, 59586, 51335, 52510, 53964, 50795, 66931, 57247, 57993, 51335, 53401, 51335, 59248, 51335, 52555, 52529, 50795, 56513, 57247, 63602, 51335, 54139, 51335, 59310, 51335, 52485, 63507, 53549, 57247, 58839, 51335, 53793, 51335, 57747, 51335, 50809, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52555, 53964, 50807, 66931, 50807, 52060, 50807, 52060, 50807, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51019, 54805, 67934, 52910, 53608, 50807, 51622, 50807, 53549, 50807, 52060, 50807, 52060, 52424, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51213, 54805, 67934, 51918, 51553, 51798, 53608, 50807, 63507, 53549, 60101, 51923, 52295, 50795, 52529, 50795, 56513, 60858, 52567, 51224, 50800, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52510, 51335, 57993, 51335, 53401, 51335, 59248, 51335, 52555, 52529, 50983, 56513, 50983, 51335, 63602, 51335, 54139, 51335, 59310, 51335, 52485, 51335, 58839, 51335, 53793, 51335, 57747, 51335, 50809, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 53561, 62868, 53964, 51631, 68879, 54338, 51736, 52529, 50795, 56513, 50795, 52060, 57307, 52060, 59079, 52060, 52444, 63507, 53549, 50795, 52060, 51918, 53964, 50795, 66931, 50795, 51553, 51798, 52529, 50795, 56513, 60101, 53312, 63507, 53549, 50795, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52555, 53964, 50807, 66931, 50807, 52060, 50807, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51019, 54805, 67934, 52910, 53608, 50807, 51622, 50807, 53549, 50807, 52060, 52424, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51213, 54805, 67934, 51918, 50804, 51798, 53608, 50807, 63507, 53549, 51626, 79233, 51754, 52295, 50795, 52529, 50795, 56513, 50795, 52060, 50795, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51478, 50983, 51205, 55956, 67934, 52910, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 52152, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 54490, 52728, 52529, 50983, 56513, 50983, 51770, 50983, 50852, 50807, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 54490, 53561, 62868, 53964, 50795, 52232, 51631, 68879, 54338, 50795, 51478, 52152, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 63507, 53549, 50795, 52400, 51626, 54490, 53218, 53964, 50795, 66931, 50795, 52150, 51798, 52529, 50795, 56513, 50795, 51770, 52152, 53312, 63507, 53549, 50795, 52400, 50795, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 54490, 52910, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 54490, 51798, 53964, 50807, 66931, 50807, 52150, 54490, 50795, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51940, 50807, 51019, 54805, 67934, 52115, 50804, 51626, 51631, 53608, 50807, 51622, 50807, 53549, 50807, 52400, 50807, 52060, 61690, 50804, 51907, 51724, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51770, 50807, 51213, 52496, 51626, 51918, 52060, 51798, 53608, 50807, 63507, 53549, 50795, 52400, 50795, 63802, 51553, 52809, 51553, 51754, 52295, 50795, 52529, 50795, 56513, 50795, 77697, 51213, 60101, 50795, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51478, 50983, 51205, 55956, 67934, 51631, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 54490, 51798, 52529, 50983, 56513, 50983, 51770, 50983, 67556, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 52115, 62868, 53964, 50795, 52232, 51631, 68879, 54338, 50795, 51478, 52152, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 63507, 53549, 50795, 52400, 51626, 67934, 51918, 53964, 50795, 66931, 50795, 52150, 51798, 52529, 50795, 56513, 50795, 51770, 52152, 51923, 63507, 53549, 50795, 52400, 50795, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 57247, 51631, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 52152, 51918, 50804, 51798, 53964, 50807, 66931, 50807, 52150, 52496, 79233, 51754, 52060, 50795, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51940, 50807, 51019, 54805, 50991, 51335, 52115, 50804, 52296, 50798, 58792, 51620, 53608, 50807, 51622, 50807, 53549, 50807, 52400, 67934, 52765, 50804, 51628, 50804, 52262, 50804, 51724, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51770, 50807, 51213, 50807, 52060, 51918, 52060, 51798, 53608, 50807, 63507, 53549, 50795, 52400, 50795, 63802, 51553, 63602, 51553, 57637, 51553, 52485, 52295, 50795, 52529, 50795, 56513, 50795, 77697, 51213, 60101, 50795, 65919, 52582, 50807, 52252, 50807, 52009, 50807, 62868, 51205, 52221, 74019 ]
[ 0, 250, 19448, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 579, 1517, 20426, 31365, 25999, 6, 17605, 9590, 6, 6755, 12547, 6, 8, 7304, 4627, 4, 20, 33301, 7630, 6568, 10, 1472, 9, 657, 8, 11098, 6, 10686, 13, 10, 1619, 822, 19834, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 7994, 13410, 228, 2289, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 51247, 52335, 51050, 52062, 56945, 51797, 53523, 56626, 50871, 53891, 50877, 51097, 56222, 77146, 50871, 50838, 54734, 52151, 51050, 52062, 56945, 51753, 53523, 51314, 74769, 52783, 57019, 52168, 50727, 50309, 59124, 51085, 51852, 50727, 50311, 56109, 50900, 51797, 54734, 52062, 51050, 52335, 50727, 50313, 51965, 56945, 51797, 53523, 70550, 51027, 51961, 50727, 50309, 51058, 57019, 51243, 50727, 50309, 51677, 55513, 51314, 76400, 69173, 51085, 51174, 54734, 52335, 51050, 53588, 56945, 51753, 53523, 51330, 50727, 50311, 55665, 51027, 51447, 57019, 51314, 50727, 50309, 51423, 55513, 51477, 50727, 50311, 51709, 50450, 51085, 53581, 50956, 51006, 50727, 50313, 51481, 54662, 52151, 50997, 52335, 50727, 50314, 51283, 54569, 51753, 53645, 52335, 58296, 52598, 50727, 50309, 51174, 63808, 52980, 50727, 50309, 51939, 50450, 51050, 68590, 50899, 51074, 55435, 52335, 51234, 52062, 54569, 51884, 53645, 51244, 50727, 50311, 51199, 58296, 52256, 63808, 51314, 50727, 50309, 61112, 51050, 51108, 56279, 50932, 50727, 50311, 62214, 50871, 51481, 54734, 51592, 51050, 52335, 50727, 50313, 51965, 56945, 51797, 53523, 51314, 74769, 51447, 50727, 50313, 56180, 79173, 50727, 50313, 51637, 50450, 51085, 59781, 60906, 50727, 50309, 51797, 54868, 52062, 50899, 52335, 50727, 50313, 51318, 55961, 51642, 56207, 51080, 58783, 51679, 50727, 50313, 55659, 50902, 51447, 50727, 50314, 51637, 69375, 51576, 56415, 56109, 50877, 50972, 50727, 50313, 51210, 54795, 51939, 51026, 52335, 50727, 50313, 52136, 56363, 51642, 53337, 51314, 71288, 52783, 50727, 50311, 51254, 57267, 51447, 50727, 50311, 52431, 50450, 51120, 61703, 50899, 51174, 53997, 52222, 50900, 53142, 56440, 52059, 54439, 51314, 79047, 51961, 64185, 52168, 50715, 50292, 56282, 50876, 51423, 50715, 50296, 51056, 50727, 50309, 61112, 51026, 51380, 65851, 51109, 71962, 51124, 50727, 50311, 51330, 72786, 50838, 54734, 52062, 51050, 52335, 67687, 51241, 50727, 50313, 54532, 56945, 52059, 53523, 51447, 51825, 51328, 74769, 52783, 67687, 50855, 50727, 50309, 51174, 51981, 51481, 57019, 52783, 67687, 51191, 50727, 50309, 51939, 52287, 71320, 51085, 51484, 72407, 51806, 67687, 50836, 53171, 50857, 54734, 51592, 51050, 53588, 67687, 51134, 54310, 51310, 56945, 51797, 53523, 51108, 50727, 50311, 64809, 51027, 52168, 67687, 50855, 53171, 53614, 71698, 67687, 51241, 50727, 50309, 51309, 54310, 51025, 55513, 51419, 50727, 50311, 58959, 51085, 50838, 53171, 58667, 50956, 50974, 67687, 50855, 50727, 50313, 51642, 54662, 52151, 50997, 52062, 72352, 50889, 50727, 50314, 51637, 52932, 52168, 54569, 53161, 53645, 51314, 58296, 52980, 72352, 50855, 50727, 50309, 51174, 63808, 52168, 72352, 51191, 50727, 50309, 52140, 50444, 52287, 54323, 51050, 51380, 52932, 77228, 50871, 51108, 72352, 50855, 53171, 51006, 54662, 52062, 50997, 52062, 72352, 51413, 53171, 51097, 54569, 51797, 53645, 51097, 50727, 50311, 51108, 52932, 51330, 58296, 52263, 63808, 51080, 72352, 51095, 50727, 50309, 51679, 53171, 51381, 57428, 77069, 51050, 50838, 72352, 50840, 50727, 50311, 63190, 50899, 51079, 52932, 51212, 54734, 51477, 51050, 51318, 67687, 51241, 50727, 50313, 51965, 52287, 51878, 56945, 51961, 53523, 51645, 58783, 50972, 67687, 50813, 50727, 50313, 51006, 55898, 51283, 51120, 51627, 63598, 51241, 50727, 50313, 51637, 52287, 50981, 57428, 51637, 60027, 51709, 51981, 57092, 50902, 51376, 63598, 50854, 50727, 50313, 54298, 51825, 51481, 54795, 51318, 51026, 51627, 71962, 51241, 50727, 50311, 51965, 51981, 52168, 56363, 51961, 53337, 52056, 58319, 51753, 71962, 50810, 50727, 50311, 51277, 62275, 51627, 50900, 51878, 50715, 50292, 51241, 50727, 50313, 51637, 65827, 52136, 51981, 50974, 56222, 50932, 52287, 66983, 50876, 51254, 50715, 50292, 50855, 50727, 50311, 51174, 51981, 50933, 54662, 52222, 50997, 53142, 72352, 51241, 50727, 50311, 52140, 51981, 51283, 54569, 51797, 53645, 51244, 58296, 52783, 72352, 50867, 51825, 56480, 78766, 72352, 51178, 51825, 76619, 51050, 51380, 65851, 50995, 72352, 50925, 50727, 50309, 51576, 50456, 50871, 50838, 54734, 52222, 51050, 52335, 67687, 51351, 50727, 50309, 51445, 56945, 51797, 53523, 70550, 51027, 51314, 67687, 54431, 50871, 51097, 67687, 50897, 55513, 51381, 60027, 51051, 67687, 53875, 50871, 50838, 53997, 52151, 50900, 52062, 50715, 50292, 51191, 56440, 51642, 54439, 55665, 50916, 51637, 50715, 50292, 53415, 50906, 51080, 50715, 50296, 51346, 50727, 50309, 50981, 58365, 52337, 50450, 51026, 50972, 71962, 51178, 50727, 50311, 63190, 50916, 50972, 54734, 52062, 51050, 52062, 67687, 50943, 50727, 50313, 51637, 56945, 52059, 53523, 51679, 51825, 68766, 51027, 51333, 67687, 50855, 50727, 50309, 51006, 51981, 52718, 50871, 51592, 67687, 51241, 50727, 50309, 51662, 52287, 50995, 55513, 51314, 76400, 73786, 51085, 51174, 67687, 50809, 53171, 51212, 54734, 52222, 51050, 52222, 67687, 51191, 54310, 51380, 56945, 51797, 53523, 50932, 50727, 50311, 51108, 53171, 51965, 74769, 52168, 67687, 54431, 77920, 67687, 51191, 50727, 50309, 51309, 55513, 51381, 50727, 50311, 54980, 51085, 50972, 54310, 55345, 50956, 51006, 67687, 50836, 50727, 50313, 51753, 53171, 50974, 54662, 52071, 50997, 52222, 72352, 51351, 50727, 50314, 51283, 52932, 51419, 54569, 52482, 53645, 51542, 58296, 51333, 72352, 50836, 50727, 50309, 51174, 50727, 50311, 50891, 53171, 53264, 50906, 52168, 72352, 51191, 50727, 50309, 51671, 52932, 51542, 57428, 51878, 56279, 51709, 50456, 51050, 51051, 72352, 50855, 53171, 50845, 54662, 51662, 50997, 52062, 72352, 51241, 52932, 51318, 54569, 51753, 53645, 55665, 50899, 51637, 72352, 50836, 52287, 51328, 63808, 51314, 72352, 51060, 50727, 50309, 51419, 52932, 51484, 57428, 51477, 50450, 51050, 51058, 72352, 50836, 50727, 50311, 51679, 53171, 54509, 50899, 50972, 52932, 50972, 54734, 52222, 51050, 52222, 67687, 51351, 50727, 50313, 51878, 52287, 51419, 56945, 52059, 53523, 70550, 51027, 51314, 67687, 50855, 51825, 53614, 50871, 51097, 67687, 51191, 50727, 50313, 51637, 51825, 51419, 55513, 51679, 60027, 54194, 50871, 51058, 67687, 50855, 50727, 50313, 51006, 52287, 50810, 54868, 52222, 50899, 52062, 63598, 51351, 50727, 50313, 51477, 52287, 51097, 55961, 51797, 56207, 51097, 58783, 51542, 63598, 50839, 50727, 50313, 51242, 51825, 55467, 50902, 51080, 63598, 50818, 50727, 50314, 51108, 51825, 51419, 67964, 51283, 56415, 51097, 63598, 50828, 50727, 50313, 52188, 50456, 51027, 50886, 51981, 50955, 54795, 52151, 51026, 52062, 71962, 51351, 50727, 50313, 51627, 52287, 50981, 56363, 51797, 53337, 51108, 51981, 51878, 71288, 51679, 71962, 50836, 50727, 50311, 51142, 57267, 51484, 71962, 50836, 50727, 50311, 51748, 55989, 51679, 56415, 79652, 58090, 71962, 50836, 52287, 54771, 50861, 51481, 51981, 51051, 53997, 52062, 50900, 53142, 50715, 50292, 51091, 52287, 51419, 56440, 51797, 54439, 51080, 64185, 52168, 50715, 50292, 50917, 51981, 54137, 50876, 51801, 50715, 50296, 51221, 50727, 50309, 51679, 51825, 59242, 51026, 51709, 65851, 51709, 71962, 50917, 50727, 50311, 51330, 51981, 58667, 50861, 51254, 54734, 52222, 51050, 52222, 67687, 50943, 50727, 50313, 52263, 52287, 51680, 56945 ]
[ 0, 713, 33558, 5175, 2214, 1575, 10, 11739, 9, 30587, 8, 3459, 29589, 6, 10, 6755, 12547, 6, 21072, 6, 8, 13305, 6, 2351, 10, 15352, 30054, 8, 17627, 17274, 5466, 4, 590, 10, 1769, 20889, 9, 18461, 13410, 228, 2289, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 15229, 23645, 10, 13428, 9, 28325, 2397, 6, 442, 24, 10, 455, 12, 16096, 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 ]	[ 56236, 50796, 50444, 63481, 56044, 51726, 50806, 51545, 58429, 64053, 65326, 59164, 72821, 51278, 50866, 51329, 50865, 51545, 50882, 51726, 65102, 51033, 50992, 51033, 50935, 51045, 68923, 50807, 51046, 51013, 60273, 52331, 50896, 51726, 66282, 51090, 50850, 51054, 51125, 54107, 51278, 50897, 51046, 50924, 51219, 50937, 52331, 51033, 51726, 50952, 50868, 71936, 78607, 55276, 52331, 50795, 51726, 55885, 52331, 50795, 51726, 51798, 52331, 50795, 51726, 51923, 52331, 50795, 51726, 50805, 50799, 52331, 50795, 51726, 52115, 52331, 50879, 51726, 51631, 52331, 50795, 51726, 51736, 52331, 50795, 51726, 51646, 52331, 50879, 51726, 51918, 54633, 57163, 69709, 51726, 50879, 51545, 58429, 68951, 65326, 59164, 51278, 50942, 74813, 72821, 51545, 50948, 51726, 55363, 51033, 50992, 51033, 50935, 50823, 50799, 51473, 50807, 51548, 50807, 51529, 50889, 51990, 51016, 51729, 51013, 51017, 51054, 50944, 51054, 50850, 75190, 51473, 50938, 51548, 50865, 51529, 50937, 51990, 50830, 51729, 50921, 51017, 51021, 50944, 60787, 63982, 51990, 50795, 51729, 51918, 51990, 50795, 51729, 54230, 51990, 50795, 51729, 52961, 51990, 50795, 51729, 50795, 50799, 51990, 50795, 51729, 52864, 51990, 50795, 51729, 52483, 51990, 50879, 51729, 52605, 51990, 50879, 51729, 52446, 51990, 50795, 51729, 56209, 63481, 74528, 51456, 50846, 51726, 50879, 51545, 56567, 64053, 65326, 59164, 51278, 50866, 51329, 50865, 51219, 50977, 51326, 50818, 51726, 50879, 51545, 56567, 51033, 50992, 51033, 50935, 51045, 56672, 50835, 68923, 50807, 51046, 51013, 60273, 52166, 50820, 51350, 50830, 52331, 50896, 51726, 66282, 51090, 50850, 51054, 51125, 50824, 51039, 52499, 50863, 51350, 58798, 51278, 50897, 51046, 50924, 51219, 50937, 58706, 72646, 52459, 50858, 52331, 51033, 51726, 50952, 50868, 71936, 78607, 54684, 50920, 52348, 50829, 51350, 50830, 68435, 50834, 51780, 50858, 52331, 50795, 51726, 55885, 50920, 52223, 50835, 51350, 50910, 52331, 50795, 51726, 51798, 58706, 72646, 51355, 50858, 52331, 50795, 51726, 50795, 51453, 52499, 50863, 51350, 50897, 52331, 50795, 51726, 50805, 51755, 51135, 50834, 51350, 50910, 52331, 50795, 51726, 78318, 51987, 50863, 51350, 50897, 52331, 50879, 51726, 51631, 58706, 72646, 52459, 50859, 52331, 50795, 51726, 51736, 56278, 50863, 51350, 50942, 52331, 50795, 51726, 51646, 52166, 50820, 51780, 50859, 52331, 50879, 51726, 51918, 54633, 57163, 69709, 56278, 50863, 51350, 50977, 51726, 50879, 51545, 58429, 68951, 65326, 59164, 74813, 72821, 51278, 50901, 58706, 72646, 51355, 50858, 51545, 50948, 51726, 55363, 51033, 50992, 51033, 50935, 54178, 50920, 52348, 50835, 51350, 50830, 50799, 51473, 50807, 51548, 50807, 51529, 50889, 52166, 50834, 51729, 50830, 51990, 51016, 51729, 51013, 51017, 51054, 50944, 51054, 50850, 51237, 51039, 51987, 50863, 51729, 53244, 51473, 50938, 51548, 50865, 51529, 50937, 58706, 71719, 51355, 50858, 51990, 50830, 51729, 50921, 51017, 51021, 50944, 71936, 68029, 56278, 50863, 51729, 50830, 68435, 75395, 50858, 51990, 50795, 51729, 51918, 50920, 52223, 50835, 51729, 50910, 51990, 50795, 51729, 54230, 58706, 71719, 51659, 50858, 51990, 50795, 51729, 52961, 56278, 50863, 51729, 50897, 51990, 50795, 51729, 50795, 51755, 51135, 50820, 51729, 50910, 51990, 50795, 51729, 50805, 51039, 71853, 52786, 50863, 51729, 50897, 51990, 50795, 51729, 52483, 58706, 51044, 69418, 50818, 79884, 51990, 50879, 51729, 52605, 58787, 50863, 51729, 50942, 51990, 50879, 51729, 50805, 68435, 75395, 50859, 51990, 50795, 51729, 56209, 67110, 63481, 51219, 73558, 52223, 69418, 50818, 51729, 50977, 51726, 50879, 51545, 56567, 64053, 65326, 59164, 61927, 51278, 50866, 51329, 50865, 51219, 50977, 58706, 51044, 72783, 50884, 51659, 50858, 51726, 50879, 51545, 56567, 68951, 65326, 60345, 52671, 50859, 51796, 50865, 51326, 53347, 52523, 50863, 51729, 70629, 52091, 51717, 51701, 51717, 52736, 51717, 50799, 52671, 51016, 78687, 52166, 58168, 51422, 51265, 50830, 51350, 50830, 51350, 61955, 51069, 50910, 58787, 50863, 51265, 50878, 51350, 50959, 51350, 58798, 51789, 50893, 78687, 58706, 72646, 51265, 50952, 51350, 50940, 52459, 57748, 51789, 50948, 51069, 68276, 51916, 50835, 51265, 50955, 51350, 50959, 51350, 53402, 78687, 52166, 50820, 51780, 50858, 51265, 50952, 51350, 60204, 51069, 50910, 65984, 50863, 51265, 50942, 51350, 50878, 51350, 57415, 51789, 50893, 78687, 58706, 71719, 51265, 50940, 51350, 50940, 51355, 59465, 51069, 50910, 65984, 50863, 51265, 50878, 51350, 50878, 51350, 50897, 50799, 51789, 51175, 78687, 52166, 50820, 51265, 50940, 51350, 74171, 63817, 51069, 68276, 52223, 50829, 51265, 50955, 51350, 50959, 51350, 55640, 51789, 50879, 78687, 58706, 72646, 52459, 50859, 51265, 50940, 51350, 59099, 51789, 50879, 51069, 50910, 56278, 50863, 51265, 50955, 51350, 51008, 51350, 58927, 78687, 52166, 50834, 51265, 50940, 51350, 50830, 51780, 60835, 51069, 50910, 65984, 50863, 51265, 50878, 51350, 50955, 51350, 59881, 51789, 50948, 78687, 58706, 71719, 51265, 50940, 51350, 50952, 51355, 59465, 51789, 50948, 77943, 65157, 51329, 50893, 56278, 50863, 51265, 50897, 51350, 50830, 51350, 70629, 52582, 51717, 50799, 52083, 51016, 51213, 50830, 51473, 50943, 76106, 52166, 50820, 51990, 50808, 51729, 50812, 51729, 55587, 51213, 50910, 65984, 50863, 51729, 50874, 51990, 50955, 51729, 53244, 52671, 50967, 51213, 50830, 58706, 71719, 51990, 50830, 51729, 50940, 51355, 57748, 51213, 50910, 65984, 50863, 51990, 50878, 51729, 50955, 51729, 53402, 52671, 51238, 51213, 50830, 52166, 50834, 51781, 50858, 51990, 50940, 51729, 61897, 51213, 50910, 65984, 50863, 51990, 50955, 51729, 51008, 51729, 57415, 52671, 50879, 51213, 50830, 58706, 72646, 51990, 50940, 51729, 50940, 51659, 57830, 52671, 50967, 51213, 50910, 65984, 50863, 51990, 50925, 51729, 50955, 51729, 50897, 55194, 50830, 52166, 50820, 51990, 50952, 51729, 50910, 51729, 61955, 51213, 50910, 65984, 50863, 51990, 50942, 51729, 50955, 51729, 55640, 51213, 50830, 58706, 72646, 79884, 51990, 50940, 51729, 59099, 51213, 50910, 65984, 50863, 51990, 50942, 51729, 50942, 51729, 58927, 51213, 50830, 52166, 50820, 51990, 50830, 51729, 50952, 51781, 60835, 51213, 50910, 56278, 50863, 51990, 50942, 51729, 50955, 51729, 59881, 52671, 50893, 51213, 50830, 58706, 71719, 51990, 50940, 51729, 50830, 51659, 55764, 52671, 50924, 51019, 57882, 52291, 50870, 51990, 50910, 51729, 50830, 51729, 50952, 50461, 52091, 51717, 51701, 51717, 52736, 51717, 50799, 52671, 51016, 78687, 52166, 50834, 51265, 50830, 51350, 50925, 51350, 55587, 51069, 50910, 65984, 50863, 51265, 50952, 51350, 50830, 51350, 58798, 51789, 50924, 78687, 58706, 72646, 51265, 50878, 51350, 50959, 52459, 57748, 51069, 50910, 56278, 79273, 50921, 51350, 50830, 51350, 64543, 51789, 51173, 78687, 52166, 50834, 51780, 50858, 51265, 50942, 51350, 63959, 51069, 50910, 56278, 79273, 50952, 51350, 50952, 51350, 57415, 51789, 50879, 78687, 58706, 72646, 51265, 50942, 51350, 50878, 51355, 57830, 52083, 51013, 51069, 50910, 65984, 50863, 51265, 50952, 51350, 50897, 51350, 50940, 53285, 50830, 52166, 50820, 51265, 50897, 51350, 50878, 51350, 62714, 51789, 50879, 51069, 50910, 65984, 50863, 51265, 50830, 51350, 50897, 51350, 58798, 78687, 58706, 72646, 52459, 50859, 51265, 50925, 51350, 59780, 51069, 50910 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 1076, 560, 31365, 25999, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 381, 3694, 6, 19, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 6711, 16, 10, 11739, 9, 26545, 6, 15073, 6, 11098, 6, 8, 657, 4, 20, 33215, 16739, 9, 211, 406, 6, 230, 119, 1176, 406, 6, 1918, 406, 6, 163, 119, 406, 6, 8, 230, 401, 3639, 7, 5, 2214, 18, 13363, 28191, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 51120, 73641, 51184, 50989, 51184, 50877, 51184, 51028, 51184, 50927, 61511, 51120, 50860, 50927, 55276, 51120, 51029, 50927, 68174, 51120, 50860, 58992, 58540, 50976, 51324, 73641, 51009, 50989, 51009, 50877, 51009, 51205, 51029, 50422, 50902, 50976, 50430, 50968, 60648, 51324, 50860, 51205, 55276, 50899, 51072, 50989, 51072, 50877, 51072, 51028, 51072, 51324, 51009, 51205, 51009, 60027, 70982, 68126, 51072, 50989, 73774, 50973, 50993, 57844, 50817, 51360, 51029, 51040, 51795, 50916, 51795, 50965, 51795, 51228, 61511, 51360, 50860, 51228, 55276, 51360, 51029, 51228, 68174, 51360, 52035, 50305, 52035, 50308, 52035, 50312, 79977, 50860, 72823, 57346, 51072, 50916, 51072, 50965, 51072, 50973, 51072, 51378, 51029, 51213, 51029, 61104, 51072, 50916, 51072, 50965, 64414, 51360, 50860, 51228, 55276, 51324, 51072, 50899, 51072, 50989, 51072, 50877, 51072, 51205, 63758, 51315, 51072, 50899, 51072, 50965, 51072, 50973, 51072, 51019, 51072, 54868, 73641, 51184, 50989, 51184, 50877, 51184, 51028, 51184, 50927, 61511, 51120, 50860, 50927, 55276, 51120, 51029, 50927, 68174, 51120, 50860, 58992, 58540, 50976, 51324, 73641, 51009, 50989, 51009, 50877, 51009, 51205, 51029, 50422, 50902, 50976, 50430, 50968, 60648, 51324, 50860, 51205, 55276, 50899, 51072, 50989, 51072, 50877, 51072, 51028, 51072, 51324, 51009, 51205, 51009, 60027, 70982, 68126, 51072, 50989, 73774, 50973, 50993, 57844, 50817, 51360, 51029, 51040, 51795, 50916, 51795, 50965, 51795, 51228, 61511, 51360, 50860, 51228, 55276, 51360, 51029, 51228, 68174, 51360, 52035, 50305, 52035, 50308, 52035, 50312, 79977, 50860, 72823, 57346, 51072, 50916, 51072, 50965, 51072, 50973, 51072, 51378, 51029, 51213, 51029, 61104, 51072, 50916, 51072, 50965, 64414, 51360, 50860, 51228, 55276, 51324, 51072, 50899, 51072, 50989, 51072, 50877, 51072, 51205, 63758, 51315, 51072, 50899, 51072, 50965, 51072, 50973, 51072, 51019, 51072, 54868, 72114, 51352, 50989, 51352, 50877, 51352, 51028, 51352, 50927, 56111, 51120, 50860, 50927, 54675, 51120, 50860, 50927, 54684, 51120, 50860, 50927, 55276, 51120, 50860, 50927, 56059, 51120, 50860, 50927, 54554, 51120, 52035, 50310, 65066, 52035, 50317, 50860, 50927, 55273, 51360, 52035, 50308, 52035, 50312, 79977, 50860, 72823, 58066, 51072, 50899, 51072, 50989, 51072, 50877, 51072, 51205, 66489, 51028, 52035, 50310, 51407, 51315, 51352, 50899, 51352, 51019, 66613, 50973, 55276, 50877, 51072, 59758, 58615, 50989, 50975, 55547, 51029, 51040, 54217, 50916, 54217, 51069, 61511, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 68174, 51279, 50860, 72035, 55547, 51029, 51069, 61511, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 58166, 52035, 50308, 55273, 59441, 51184, 51279, 65066, 51184, 51028, 51184, 72035, 55547, 51029, 51069, 51029, 61104, 61222, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 51040, 64531, 58166, 52035, 50289, 52035, 50308, 50860, 72035, 50799, 54833, 67890, 72114, 51072, 51279, 51029, 51069, 58823, 54833, 67890, 54675, 56293, 65066, 67890, 64414, 56293, 52035, 50289, 65066, 50860, 51069, 55276, 57065, 51029, 51279, 51029, 50968, 51029, 50871, 51009, 50877, 51009, 51069, 68174, 55910, 52035, 50289, 70105, 50860, 72035, 50799, 59441, 51795, 51279, 51029, 50877, 51795, 51028, 51795, 51069, 51029, 61104, 61222, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 51040, 64531, 58166, 52035, 50289, 52035, 50308, 50860, 72035, 50799, 54833, 67890, 72114, 51072, 51279, 51029, 51069, 58823, 54833, 67890, 54675, 56293, 65066, 67890, 64414, 56293, 52035, 50289, 65066, 50860, 51069, 55276, 57065, 51029, 51279, 51029, 50968, 51029, 50871, 51009, 50877, 51009, 51069, 68174, 55910, 52035, 50289, 70105, 50860, 72035, 50799, 59441, 51352, 51279, 51029, 50916, 51352, 50877, 51352, 51028, 51352, 51069, 61511, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 59441, 52035, 50317, 55273, 60985, 51795, 51279, 52035, 50305, 51795, 50916, 51795, 50965, 51795, 50973, 51795, 72035, 62368, 51029, 53344, 61511, 51966, 50860, 53344, 55276, 51966, 51029, 53344, 65027, 59441, 52035, 50317, 55273, 60985, 51795, 51966, 52035, 50307, 51795, 50989, 51795, 50877, 51795, 50973, 51795, 53344, 50860, 58066, 51029, 51205, 61511, 51324, 50860, 51205, 55276, 51324, 51029, 51205, 65027, 61092, 52035, 50310, 55273, 60985, 51184, 51324, 52035, 50310, 52442, 50877, 52442, 50899, 52442, 50973, 52442, 78152, 57551, 51029, 51019, 61511, 51315, 50860, 51019, 55276, 51315, 51072, 51019, 63758, 51324, 51072, 51205, 51072, 60963, 50976, 50916, 51072, 50965, 51072, 54387, 63853, 51324, 50976, 51205, 58595, 51315, 50824, 51019, 53663, 51643, 51072, 51120, 50976, 50871, 51072, 50877, 51072, 77550, 50927, 60815, 51050, 50976, 50945, 58317, 51633, 51072, 50916, 51072, 50973, 51072, 50902, 51072, 51026, 62455, 50824, 70733, 51795, 51085, 69166, 51795, 50876, 51795, 50968, 51795, 50964, 51029, 56248, 61222, 51085, 50860, 50964, 55276, 51085, 51029, 50964, 51029, 59758, 64531, 51652, 52035, 50292, 66831, 50860, 60418, 50799, 52185, 52035, 50312, 67890, 51072, 51085, 51029, 50964, 58823, 52185, 52035, 50312, 54675, 51643, 61818, 52035, 50312, 64414, 51643, 52035, 50292, 61818, 50860, 50964, 55276, 52372, 51029, 51085, 51029, 50951, 51029, 50965, 51009, 50876, 51009, 50964, 68174, 51993, 52035, 50292, 72712, 50860, 60418, 70733, 51795, 51085, 51029, 50916, 51009, 50861, 51795, 50876, 51795, 50968, 51795, 50964, 61511, 51085, 50860, 50964, 55276, 50916, 51072, 51085, 51029, 50964, 68174, 51652, 52035, 50292, 66831, 50860, 60418, 50799, 52185, 52035, 50312, 67890, 51072, 51085, 51029, 50964, 58823, 52185, 52035, 50312, 54675, 51643, 61818, 52035, 50312, 64414, 51643, 52035, 50292, 61818, 50860, 50964, 55276, 52372, 51029, 51085, 51029, 50951, 51029, 50876, 51300, 50965, 51009, 50964, 68174, 51993, 50823, 69593, 51085, 50860, 50964, 60271, 51643, 58676, 50811, 70733, 51795, 50876, 50817, 51085, 51029, 50916, 51009, 50861, 51795, 50968, 51795, 50964, 61511, 51085, 50860, 50964, 55276, 50916, 51072, 51085, 51029, 50964, 68174, 51652, 52035, 50292, 66831, 50860, 60418, 50799, 52185, 52035, 50312, 67890, 51072, 51085, 51029, 50964, 58823, 52185, 52035, 50312, 54675, 51643, 61818, 52035, 50312, 64414, 51643, 52035, 50292, 61818, 50860, 50964, 55276, 52372, 51029, 51085, 51029, 50951, 51029, 50876, 51300, 50965, 51009, 50964, 68174, 51993, 50823, 69593, 51085, 50860, 50964, 60271, 51643, 58676, 50811, 70733, 51184, 50876, 50817, 51085, 69166, 51184, 50968, 51184, 50964, 61511, 51085, 50860, 50964, 55276, 51085, 51029, 50964, 68174, 51085, 50860, 60418, 53997, 51029, 50964, 51029, 56248, 51407, 50432, 51085, 50860, 50964, 55276, 51085, 50860, 50964, 56059, 51652, 52035, 50292, 66831, 50860, 50964, 54554, 51652, 52035, 50294, 66831, 50860, 50927, 55273, 51652, 51184, 51315, 51009, 51086, 51184, 50899, 51184, 50861, 51184, 51019, 51009, 66243, 51315, 50860, 51019, 55276, 51315, 51029, 51019, 68174, 51315, 50860, 63167, 73935, 66831, 52035, 50289, 51029, 50900, 51029, 51069, 58823, 51667, 65066, 54675, 52135, 79977, 54684, 51633, 51072, 51279, 70105, 51072, 50916, 69166, 51029, 51069, 55276, 51279, 51072, 51069, 63757, 51643, 61818, 54554, 52376, 52035, 50308, 50817, 51085, 52035, 50308, 50860 ]
[ 0, 250, 2635, 12, 20764, 3495, 2214, 19, 10, 11602, 9, 15073, 6, 4246, 10, 13305, 6, 32909, 6, 326, 5638, 18026, 6, 8, 17465, 102, 4, 20, 33301, 7630, 6568, 10, 3344, 9, 8597, 6, 31, 11098, 7, 657, 6, 8, 34, 10, 25306, 1318, 4, 23973, 11, 5, 762, 9, 381, 3694, 19, 10, 112, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 5, 40286, 3676, 8, 163, 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 ]	[ 52552, 50624, 52274, 52274, 52274, 52552, 50861, 55689, 50876, 50901, 53997, 65064, 51364, 56978, 56307, 51315, 54342, 50902, 52014, 50299, 56298, 51085, 58363, 53218, 51026, 56697, 50902, 51828, 50296, 54509, 50968, 52014, 50299, 50974, 54197, 61913, 51013, 53502, 56307, 51027, 60236, 61915, 51013, 56014, 56298, 51085, 62430, 51103, 50861, 51356, 55513, 56697, 51086, 54509, 50900, 50974, 56310, 60045, 68547, 51013, 56207, 51828, 50297, 75055, 61849, 57421, 50902, 57581, 50916, 73797, 51828, 50299, 51183, 55989, 68839, 50938, 55895, 66388, 55037, 50899, 68839, 50938, 54960, 65185, 60817, 50914, 55902, 50938, 56248, 54725, 50861, 57581, 50916, 55700, 50861, 57415, 55062, 63254, 55037, 53250, 64294, 50938, 79922, 51343, 51085, 50943, 56440, 50938, 54439, 65090, 54729, 53077, 73022, 57581, 53250, 65815, 51003, 58365, 57415, 53077, 57253, 73724, 79541, 59827, 53771, 64294, 50938, 78857, 51290, 51027, 50943, 57340, 56412, 54812, 60594, 71998, 54729, 50877, 57581, 55062, 51336, 50900, 51183, 58365, 57415, 50876, 73724, 55416, 50861, 50938, 77275, 51290, 51315, 51047, 50916, 51103, 55902, 56412, 54985, 58733, 73724, 54729, 53863, 57704, 57581, 53771, 51073, 51085, 51145, 50900, 51103, 58365, 57415, 53250, 60594, 73724, 55416, 50861, 50805, 77275, 51933, 51026, 58532, 66154, 61471, 61649, 51085, 65327, 60763, 68547, 64919, 51315, 54014, 50861, 61622, 59374, 67860, 51003, 58365, 55125, 50861, 55345, 50861, 50901, 50799, 55062, 51290, 51214, 69836, 55973, 54812, 67047, 61581, 64919, 56213, 58818, 53250, 51073, 51279, 75055, 55441, 56213, 60867, 65788, 63505, 54812, 50938, 78857, 51290, 51799, 51741, 50294, 55973, 53771, 67734, 51828, 50285, 51911, 50297, 60015, 53182, 53077, 67922, 57581, 54985, 51336, 51279, 51145, 51027, 51103, 50916, 51103, 77736, 50876, 51336, 79922, 51290, 51279, 75055, 55973, 53077, 73022, 61915, 60763, 64919, 53250, 58818, 56213, 51073, 51120, 61849, 61581, 71449, 58833, 54812, 51073, 51197, 66533, 65593, 61915, 51013, 79922, 51356, 50965, 51238, 51315, 60817, 50914, 50423, 50968, 52450, 51001, 53847, 50968, 52559, 51147, 53263, 51114, 53574, 50968, 55700, 50916, 52596, 50916, 51923, 50916, 50938, 50799, 60293, 51290, 52832, 51159, 53880, 51159, 56293, 51800, 50289, 51145, 51027, 69027, 54812, 50924, 52376, 50892, 52394, 50937, 56293, 62929, 65788, 61915, 53182, 56213, 50924, 52376, 50892, 52491, 50937, 58166, 58020, 53250, 51073, 51667, 51056, 52394, 51056, 59931, 51734, 50289, 51145, 51027, 66563, 56213, 50879, 52376, 50892, 54727, 50873, 59931, 61567, 65788, 61915, 63505, 54812, 50938, 52376, 51058, 52394, 50866, 59931, 51058, 79922, 51290, 52185, 51159, 52228, 51159, 58166, 51800, 50296, 51047, 50916, 69027, 53077, 51073, 52135, 51056, 52656, 51056, 58166, 60556, 71449, 64424, 60315, 53250, 51364, 51667, 51218, 52172, 51218, 59931, 51218, 51279, 51145, 51027, 51103, 59758, 61915, 60763, 63505, 53771, 50924, 51643, 50873, 52172, 50937, 56293, 50873, 50799, 54985, 51290, 51643, 50914, 52491, 51159, 56293, 51800, 50289, 51145, 51027, 69027, 53771, 51073, 51643, 51056, 52172, 51056, 56293, 74669, 61915, 60763, 60315, 56853, 51073, 51633, 51056, 52491, 50943, 58166, 51734, 50284, 51145, 51315, 66563, 54985, 51238, 51643, 51221, 52491, 51221, 58166, 74669, 63403, 71449, 64424, 51013, 50459, 59930, 50840, 52135, 50813, 51978, 50813, 50799, 54985, 51356, 51643, 51103, 52491, 51103, 56293, 51103, 51279, 75055, 65788, 74114, 51077, 50876, 51356, 50426, 51315, 56509, 51279, 57197, 54985, 51238, 52113, 51221, 52380, 51221, 56293, 50943, 50459, 59930, 50840, 51633, 50813, 53319, 50813, 50799, 57518, 51290, 52113, 51159, 52172, 51159, 56293, 51800, 50289, 75055, 55973, 59930, 50879, 51993, 50873, 51978, 50873, 56293, 74669, 61915, 60763, 64919, 54985, 50938, 52113, 50866, 52491, 54014, 59930, 51073, 51633, 51056, 52656, 51056, 58166, 51734, 50284, 51741, 50296, 55441, 54985, 50879, 52113, 50873, 52172, 50873, 58166, 74669, 71449, 64424, 63505, 56853, 50938, 51633, 50866, 53319, 50866, 50799, 54985, 51290, 51993, 51159, 52380, 51159, 54833, 51159, 51247, 78494, 61581, 59460, 58835, 61649, 54812, 50879, 51652, 51056, 52491, 51056, 58166, 51056, 51841, 51911, 50296, 58532, 61915, 75202, 64919, 55343, 57581, 53077, 51073, 51667, 51056, 51978, 51056, 56167, 51056, 51799, 51911, 50294, 61581, 61915, 64424, 58833, 53771, 51073, 51643, 51056, 51979, 51056, 56187, 51056, 51214, 51911, 50299, 58532, 60597, 68547, 51013, 50799, 54812, 50948, 51831, 50917, 52228, 50917, 56167, 74911, 60241, 74114, 51077, 50902, 51356, 50420, 53077, 51364, 51667, 51218, 51978, 51218, 56167, 51218, 60643, 58672, 51120, 54014, 53250, 51073, 51667, 51056, 52491, 51056, 56293, 51056, 51315, 65480, 61915, 60763, 58833, 56213, 51073, 52185, 51056, 52228, 51056, 58166, 51056, 51841, 51911, 50296, 62649, 63403, 71449, 51013, 50799, 54812, 51933, 52376, 51518, 52394, 51518, 59931, 51518, 51279, 75055, 69970, 51077, 50916, 74114, 51356, 50426, 51841, 51911, 50296, 56389, 51279, 51003, 56222, 55037, 50876, 50938, 53997, 65064, 51364, 56978, 56307, 51315, 54342, 50902, 52014, 50299, 56298, 51085, 58363, 53218, 51026, 56697, 50902, 51828, 50296, 54509, 50968, 52014, 50299, 50974, 54197, 61913, 51013, 53502, 56307, 51027, 60236, 61915, 51013, 56014, 56298, 51085, 62430, 51103, 50861, 51356, 55513, 56697, 51086, 54509, 50900, 50974, 56310, 60045, 68547, 51013, 56207, 51828, 50297, 75055, 61849, 57421, 50902, 57581, 50916, 73797, 51828, 50299, 51183, 55989, 68839, 50938, 55895, 66388, 55037, 50899, 68839, 50938, 54960, 65185, 60817, 50914, 55902, 50938, 56248, 54725, 50861, 57581, 50916, 55700, 50861, 57415, 52039, 63254, 55037, 51431, 64294, 50938, 67659, 51343, 51085, 50943, 56440, 50938, 54439, 65090, 54729, 51485, 73022, 57581, 51431, 65815, 51003, 58365, 57415, 51485, 57253, 73724, 79541, 59827, 51744, 64294, 50938, 64996, 51290, 51027, 50943, 57340, 56412, 51898, 60594, 71998, 54729, 50877, 57581, 52039, 51336, 50900, 51183, 58365, 57415, 50876, 73724, 55416, 50861, 50938, 65578, 51290, 51315, 51047, 50916, 51103, 55902, 56412, 52067, 58733, 73724, 54729, 51579, 57704, 57581, 51744, 51073, 51085, 51145, 50900, 51103, 58365, 57415, 51431, 60594, 73724, 55416, 50861, 50805, 65578, 51933, 51026, 58532, 66154, 61471, 61649, 51085, 65327, 60763, 68547, 64919, 51315, 54014, 50861, 61622, 59374, 67860, 51003, 58365, 55125, 50861, 55345, 50861, 50901, 75315, 51290, 51214, 69836, 55973, 51898, 67047, 61581, 64919, 52298, 58818, 51431, 51073, 51279, 75055, 55441, 52298, 60867, 65788, 63505, 51898, 50938, 64996, 51290, 51799, 51741, 50294, 55973, 51744, 67734, 51828, 50285, 51911, 50297, 60015, 53182, 51485, 67922, 57581, 52067, 51336, 51279, 51145, 51027, 51103, 50916, 51103, 77736, 50876, 51336, 67659, 51290, 51279, 75055, 55973, 51485, 73022, 61915, 60763, 64919, 51431, 58818, 52298, 51073, 51120, 61849, 61581, 71449, 58833, 51898, 51073, 51197, 66533, 65593, 61915, 51013, 67659, 51356, 50965, 51238, 51315, 60817, 50914, 50423, 50968, 52450, 51001, 53847, 50968, 52559, 51147, 53263, 51114, 53574, 50968, 55700, 50916, 52596, 50916, 51923, 50916, 50938, 50799, 54595, 51159, 53808, 51290, 53093, 51159, 55679, 51800, 50289, 51145, 51027, 69027, 51898, 50924, 53808, 50892, 51947 ]
[ 0, 713, 8787, 5175, 25771, 2125, 6, 278, 11, 10, 316, 73, 398, 86, 6543, 8, 10, 16906, 352, 178, 5285, 20889, 6, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 36474, 13005, 4, 20, 13305, 8, 3459, 13305, 35810, 15352, 30054, 2301, 6, 14156, 19601, 30, 5, 32625, 23225, 9, 5, 2370, 21305, 8, 1515, 21305, 6, 150, 5, 31391, 1672, 9590, 1639, 10, 12405, 4811, 4, 590, 5, 12577, 2772, 9, 230, 8, 1918, 406, 40286, 6, 5, 15229, 19101, 5, 30443, 88, 10, 3366, 3341, 8, 5679, 26709, 194, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 53261, 50625, 53261, 64822, 51090, 57033, 51496, 50438, 64822, 51016, 58456, 51343, 50450, 57624, 51159, 53124, 51159, 50453, 52182, 51754, 52155, 52567, 52315, 57614, 51752, 51675, 50462, 59333, 50807, 73344, 50807, 52155, 51675, 50474, 60017, 50806, 50480, 57033, 50806, 50486, 59333, 51090, 57057, 51090, 50498, 58273, 51090, 51596, 50889, 50509, 51752, 51675, 50510, 64822, 51090, 57033, 51090, 52315, 51675, 50528, 58456, 50911, 50534, 64822, 51054, 57033, 51054, 50546, 57624, 51159, 53124, 51159, 50557, 51752, 51675, 53261, 59333, 51090, 58273, 52282, 52155, 51675, 50426, 57033, 63418, 59333, 51054, 57057, 51054, 60017, 64466, 60017, 50923, 57624, 50914, 53124, 73559, 52182, 51754, 52155, 52567, 52315, 57614, 51752, 51790, 50462, 57033, 51054, 52315, 51790, 50474, 59333, 51090, 58456, 51090, 50486, 64822, 51237, 73344, 51237, 50498, 60017, 51237, 51596, 51267, 50504, 57033, 50879, 50509, 51752, 51675, 50510, 59333, 51237, 58273, 51761, 52155, 51675, 50534, 59333, 51237, 57057, 51237, 50546, 60017, 51090, 52315, 50914, 51596, 50914, 50557, 51752, 51675, 53261, 64822, 51054, 57033, 51054, 52315, 51675, 50438, 64822, 51054, 57033, 61860, 57624, 50914, 52182, 50914, 50462, 59333, 51237, 58273, 52379, 53124, 52821, 51752, 52821, 50510, 52092, 51336, 52627, 51009, 51132, 54217, 51154, 51732, 54064, 51184, 52072, 51655, 50534, 52158, 50824, 52627, 50824, 53261, 51959, 50918, 52569, 51009, 55500, 52379, 51716, 56039, 51890, 51237, 51959, 50824, 51716, 56811, 51338, 51054, 50462, 52092, 51336, 52627, 51009, 51132, 52442, 54064, 51184, 52009, 51655, 50486, 52158, 50824, 52627, 50824, 51093, 52379, 51304, 52379, 51752, 52379, 50498, 52092, 50807, 50510, 51959, 50983, 52569, 51029, 51883, 51184, 55500, 51184, 51716, 51036, 50522, 51338, 51870, 50534, 51890, 50802, 51959, 51029, 51284, 51551, 52487, 51551, 51686, 51551, 53051, 51551, 50546, 51890, 50805, 52930, 50923, 51137, 51054, 53261, 52092, 51336, 52627, 51009, 51132, 54430, 51638, 51184, 51926, 52017, 51565, 52017, 51821, 51336, 52471, 52017, 50438, 52158, 50824, 52627, 62104, 52072, 51291, 50450, 52092, 50889, 50461, 51716, 51036, 50462, 51959, 50983, 52569, 51029, 51201, 51696, 51690, 51696, 51606, 51655, 55500, 51184, 50486, 51890, 50824, 51959, 50824, 50508, 51959, 50800, 50510, 51771, 51352, 52577, 51352, 51181, 51352, 51699, 53435, 51266, 52017, 51733, 52017, 51789, 52017, 52091, 51184, 51716, 51655, 50546, 51132, 50807, 50556, 52577, 50859, 53261, 51890, 51352, 52092, 51352, 51338, 51184, 51887, 53601, 51251, 51184, 51384, 52017, 51596, 52017, 52072, 51036, 52009, 52017, 50450, 51816, 55416, 52158, 75320, 51890, 51732, 51959, 51732, 58154, 53501, 51299, 54430, 51304, 57676, 53124, 56736, 51752, 57676, 51821, 51492, 51701, 51492, 51716, 57676, 50546, 58267, 51013, 53261, 53795, 56082, 52114, 57676, 52003, 57676, 51890, 57676, 64822, 51090, 51181, 52737, 53722, 52737, 52806, 59939, 51774, 54217, 51614, 54217, 51515, 54217, 56541, 61649, 57673, 50896, 56541, 74814, 59333, 58833, 64822, 50893, 56541, 51013, 50462, 59333, 50807, 56334, 51356, 50474, 62760, 50806, 50486, 59333, 51090, 57057, 51090, 58267, 51016, 50498, 62760, 50911, 51181, 50807, 56620, 54454, 50510, 53362, 56736, 52114, 56736, 51890, 56736, 51959, 56736, 64822, 51090, 51132, 51732, 53369, 57676, 52806, 59939, 51774, 54217, 51515, 54217, 50522, 57673, 50911, 50534, 59333, 51054, 50546, 64822, 50911, 53261, 59333, 51090, 58273, 52282, 50426, 62760, 56810, 59333, 51054, 57057, 61860, 62760, 51054, 56620, 55416, 56620, 50879, 50462, 53795, 52208, 52114, 58690, 52003, 58690, 51890, 58690, 57673, 51054, 51181, 52737, 53722, 51184, 52806, 59939, 51774, 54217, 51614, 54217, 51515, 58690, 56541, 51016, 50474, 59333, 51090, 56541, 51013, 50486, 64822, 51237, 56334, 51016, 50498, 57673, 50879, 56541, 51013, 50510, 59333, 51237, 56226, 51356, 50522, 62760, 50923, 50534, 59333, 51237, 57057, 51237, 50546, 62760, 50911, 51181, 50807, 56620, 50879, 50552, 56620, 50879, 53261, 53362, 52369, 52114, 52369, 51890, 52369, 51959, 52369, 64822, 51054, 57033, 51054, 51132, 51732, 53369, 53174, 52806, 51352, 51774, 51352, 51515, 51352, 56303, 61649, 57673, 50911, 56226, 54729, 56303, 60315, 64822, 51054, 57033, 60969, 56226, 51798, 57673, 50923, 56303, 55416, 56226, 50893, 50462, 59333, 51237, 58273, 52379, 56541, 51356, 50474, 62760, 53174, 50486, 52114, 51029, 51816, 51029, 51774, 50824, 51440, 50824, 50498, 56620, 50879, 50504, 56620, 50879, 50510, 52003, 51407, 52158, 51407, 51137, 51184, 51614, 51407, 51773, 51407, 52016, 51991, 60529, 51016, 50511, 52072, 52392, 50522, 60529, 51013, 50534, 60529, 51016, 50546, 51137, 51237, 56303, 51336, 50557, 51716, 51036, 53261, 52114, 52369, 51816, 52369, 51349, 51184, 51774, 51352, 51440, 61874, 56226, 60315, 56541, 58833, 56226, 51336, 50462, 52951, 51551, 51771, 51551, 51526, 51184, 52557, 51009, 51434, 51009, 51821, 51264, 52009, 51655, 50474, 56588, 51013, 50486, 56334, 51016, 50498, 56620, 51933, 50510, 52951, 51352, 51890, 51761, 51771, 52369, 51416, 51184, 52557, 51352, 51515, 51761, 51434, 52369, 51716, 50918, 50534, 52114, 51552, 51660, 51054, 53261, 52003, 51352, 52158, 51352, 51137, 51795, 51614, 51352, 51773, 51352, 52016, 51264, 52072, 51655, 60529, 61649, 56303, 60315, 60529, 58833, 51137, 51237, 56303, 51364, 50462, 52114, 51941, 51816, 51941, 51349, 51184, 51774, 51352, 51440, 51352, 51716, 51036, 50468, 56226, 64095, 56541, 51013, 50498, 56334, 51013, 50510, 52951, 51407, 51771, 51407, 51526, 51184, 52557, 51407, 51434, 51407, 51821, 51264, 52009, 51655, 56541, 51362, 50526, 56226, 51294, 50542, 56303, 51091, 53261, 52951, 51407, 51890, 51870, 51771, 51870, 51416, 51184, 52557, 51407, 51515, 51870, 51434, 51870, 51716, 50918, 56226, 74123, 52126, 50923, 51660, 56827, 56541, 55416, 56588, 50879, 50462, 53359, 51407, 51890, 51407, 51181, 51184, 52806, 51407, 51515, 51407, 51821, 51264, 51701, 51655, 56334, 51362, 50478, 56588, 51294, 50494, 56541, 51091, 50510, 52951, 51407, 51771, 51407, 51374, 51184, 52557, 51407, 51434, 51407, 52072, 51036, 56226, 51941, 50546, 56303, 50879, 50552, 60529, 50879, 53261, 52114, 50802, 51816, 50802, 51132, 51184, 51774, 50802, 51440, 50802, 51821, 52024, 51716, 53002, 58485, 74123, 51959, 51090, 51607, 51012, 56303, 58833, 51816, 50807, 51440, 50795, 56541, 51013, 50462, 52114, 57676, 51890, 57676, 51181, 51732, 51774, 54217, 51614, 54217, 51515, 54217, 56334, 51356, 50510, 56541, 51941, 50546, 56588, 51013, 53261, 52003, 53501, 51890, 52570, 62760, 51054, 51338, 52737, 51774, 52570, 51614, 53501, 51515, 52570, 56334, 61649, 57673, 50911, 56620, 55214, 56620, 74123, 64822, 61860, 57673, 50923, 50462, 57057, 52208, 58273, 52208, 50498, 51338, 50807, 50504, 56620, 50893, 50510, 52158, 51009, 52569, 51870, 51132, 51732, 51773, 51009, 52257, 51870, 51716, 50918, 60529, 50893, 50516, 60529, 50893, 50522, 60529, 51356, 50534, 52158, 51870, 52627, 51870, 51773, 51870, 52257, 51870, 51716, 50918, 50546, 51890, 50889, 56303, 51016, 50552, 56226, 50865, 53261, 51816, 51870, 52569, 51527, 51440, 51870, 52327, 51527, 51821, 50918, 56541, 74123, 51890, 51551, 51959, 51870, 51515, 51551, 51607, 51870, 51678, 56811, 51338, 51237, 56620, 55764, 56620, 50893, 50462 ]
[ 0, 250, 15352, 30054, 11057, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 31391, 1672, 9590, 6, 21979, 8669, 6, 6755, 12547, 6, 8, 21072, 4, 85, 18, 278, 11, 5, 762, 9, 211, 538, 19, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 381, 406, 6, 163, 43531, 401, 6, 8, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 53053, 51218, 51410, 75489, 52097, 52052, 52097, 50801, 55023, 61531, 71622, 50420, 51414, 52407, 50960, 51391, 51064, 51134, 51190, 52492, 50426, 51457, 51333, 71005, 50432, 51684, 50854, 51981, 51423, 65069, 78516, 57080, 51141, 50899, 52097, 51146, 52097, 59638, 51064, 50892, 70718, 50444, 51410, 50933, 51414, 51174, 51457, 50959, 51981, 51058, 51190, 52492, 50450, 72203, 68424, 50903, 78622, 50456, 51602, 53959, 67308, 52894, 51351, 52303, 52335, 51231, 52335, 51457, 52335, 50861, 52311, 51487, 52311, 70718, 57761, 51680, 51190, 52492, 50426, 51064, 50972, 50903, 78622, 77901, 50833, 51067, 61725, 67308, 57097, 51295, 70718, 50444, 50906, 51603, 52052, 51603, 51064, 51309, 50903, 78516, 50450, 50929, 51003, 71005, 50456, 51132, 50925, 50877, 52311, 51814, 52311, 50960, 55056, 67308, 54281, 51218, 51231, 51277, 51131, 51675, 50801, 55023, 60322, 52127, 50420, 52109, 52335, 51317, 52168, 51190, 52492, 50426, 51818, 52222, 50998, 51244, 71005, 50432, 52474, 51127, 52287, 51939, 50929, 51218, 65069, 78516, 59419, 52097, 51430, 52097, 70718, 50444, 75005, 51742, 51190, 52492, 50450, 51131, 51397, 50903, 78622, 50456, 51374, 50892, 51317, 51174, 71590, 50929, 66667, 67308, 54281, 51295, 50861, 52311, 51487, 52311, 70718, 50420, 51410, 50978, 51651, 50978, 51414, 50978, 51825, 50978, 51317, 51108, 70700, 50929, 51097, 51190, 52492, 50426, 52102, 51047, 51231, 51047, 51249, 51047, 51818, 51047, 50903, 78622, 50432, 52474, 50808, 51131, 51534, 50801, 67308, 63706, 51003, 51317, 50972, 66286, 63434, 70718, 67964, 51603, 51814, 51603, 51131, 51824, 50903, 78516, 50450, 51374, 50873, 51317, 51058, 68242, 63434, 71005, 50456, 50906, 52311, 52052, 52311, 66871, 56159, 54293, 50943, 51476, 52335, 51719, 52335, 51414, 52335, 51980, 52335, 80254, 51078, 55937, 55023, 60322, 52127, 51039, 56159, 50426, 68103, 78465, 71005, 50432, 51533, 50901, 65069, 78516, 55511, 51295, 50956, 52097, 51405, 52097, 70718, 50444, 70437, 51078, 56015, 56159, 51955, 78622, 50456, 51533, 59597, 67308, 53447, 51351, 51476, 52335, 51719, 53142, 51249, 52222, 51818, 52062, 50989, 52097, 51787, 52097, 51078, 50873, 80254, 70718, 51039, 56159, 51768, 78622, 50427, 63896, 51078, 53308, 51181, 53530, 67308, 59501, 51295, 70718, 50444, 50906, 51603, 52052, 51603, 50903, 78516, 50445, 51078, 50873, 50986, 56697, 51190, 55801, 61247, 50456, 51181, 50925, 50877, 53531, 50337, 71055, 67308, 53053, 51218, 51303, 51080, 51064, 50873, 50970, 65178, 55023, 60322, 52127, 50420, 51414, 52407, 50861, 51603, 51487, 51603, 51190, 52492, 50426, 51457, 51333, 71005, 50427, 63960, 51064, 53308, 51684, 50854, 51981, 51423, 50906, 51573, 52052, 51573, 65069, 78516, 57080, 51218, 70718, 50444, 51303, 50933, 51414, 51174, 51457, 50959, 51981, 51058, 51190, 52492, 50445, 51064, 50873, 71658, 78933, 51354, 51814, 51354, 51955, 78622, 75312, 51354, 51487, 76999, 51137, 54109, 67308, 55609, 51218, 51476, 79193, 52208, 51146, 52208, 51078, 50873, 80254, 70718, 50420, 51719, 52407, 51190, 52492, 50426, 51651, 51333, 50903, 78622, 50427, 63896, 51078, 53308, 52585, 50854, 51980, 51423, 50801, 55629, 58290, 59210, 63370, 51141, 70718, 50444, 51476, 50933, 51719, 51174, 51651, 50959, 51980, 51058, 50903, 78516, 50445, 51078, 50873, 50986, 56697, 51190, 55801, 61247, 50456, 51602, 53959, 67308, 53053, 51241, 52303, 52335, 51303, 52335, 51231, 52335, 51457, 52335, 50906, 52097, 52052, 52097, 51064, 50873, 50970, 65178, 55023, 60322, 52127, 51039, 56159, 50426, 71005, 50427, 63960, 51064, 53308, 51137, 50977, 65069, 78516, 57080, 51295, 50899, 52097, 51146, 52097, 70718, 56960, 56159, 50445, 51064, 50873, 71658, 51955, 78622, 50456, 51137, 52218, 67308, 53053, 51417, 52303, 52335, 51465, 52335, 51231, 52335, 51457, 52335, 50916, 52311, 51430, 52311, 70718, 50420, 50998, 51391, 51064, 51134, 51190, 52492, 51768, 78622, 50432, 51684, 55955, 55629, 58290, 59210, 57080, 51562, 65026, 51064, 50892, 70718, 58365, 51603, 51487, 51603, 50903, 78516, 50450, 50998, 51006, 68424, 71005, 50456, 51137, 57911, 52097, 51339, 52097, 50801, 55629, 55801, 59210, 53447, 51218, 51476, 52518, 51303, 52518, 51249, 52518, 51457, 52518, 51131, 51675, 50801, 55023, 60322, 52127, 60434, 52168, 51190, 52492, 65404, 51244, 71005, 50432, 51349, 51127, 51476, 53233, 51303, 53233, 51249, 53233, 51457, 53233, 50877, 52311, 51814, 52311, 50970, 51218, 65069, 78516, 75282, 56095, 50444, 51444, 51742, 50852, 56159, 50450, 51131, 51397, 50903, 78622, 50456, 51844, 50892, 50986, 51174, 72810, 50970, 66667, 67308, 53447, 51295, 70718, 60434, 51108, 69432, 71932, 51190, 52492, 56207, 52362, 50337, 72633, 78622, 50432, 51349, 70978, 53531, 50335, 51054, 51131, 51534, 50801, 67308, 54585, 51003, 62590, 62151, 71658, 70718, 57428, 51603, 51339, 51603, 51131, 51824, 50903, 78516, 50450, 51844, 50873, 50986, 51058, 63880, 71658, 51190, 55801, 61247, 50456, 50871, 52097, 51339, 52097, 50801, 55629, 55801, 59210, 54293, 51218, 51476, 53478, 51687, 53478, 51231, 53478, 51414, 53478, 50986, 51058, 50929, 51481, 50801, 55023, 60322, 52127, 51039, 56159, 50426, 50986, 50978, 57662, 71005, 50432, 51526, 51103, 50956, 52311, 51405, 52311, 65069, 78516, 75282, 56095, 50444, 52562, 51328, 51190, 52492, 50450, 51246, 51242, 50903, 78622, 50456, 52993, 61774, 67308, 50457, 50986, 51242, 50929, 51233, 51755, 51049, 56095, 50420, 52562, 50905, 51190, 52492, 60564, 52362, 50338, 50923, 51246, 51328, 50903, 78622, 50432, 51526, 61915, 53531, 50337, 51054, 50986, 51199, 50929, 51253, 50801, 67308, 75282, 56095, 50444, 52585, 51100, 51476, 62543, 51603, 51487, 51603, 52562, 59355, 78516, 50450, 51526, 50838, 51231, 50974, 51246, 50851, 50986, 51328, 50929, 51481, 71005, 50453, 51414, 70347, 51533, 50878, 51980, 50959, 50861, 53531, 50335, 71055, 67308, 53447, 51351, 51476, 52335, 51719, 53142, 51249, 52222, 51457, 52062, 50801, 55023, 60322, 52127, 69724, 51603, 51787, 51603, 50986, 51391, 51078, 51134, 51190, 52492, 50426, 71005, 51532, 52658, 51181, 50833, 50877, 51603, 51814, 51603, 65069, 78516, 59501, 51295, 62770, 74893, 70718, 50444, 50989, 51603, 51787, 51603, 50852, 56159, 50450, 68103, 51078, 70571, 78622, 50456, 51181, 50925, 50956, 52208, 51405, 52208, 50801, 67308, 53447, 50943, 51476, 51080, 70718, 50420, 51719, 52407, 50986, 51680, 51190, 52492, 50426, 51249, 51333, 51078, 50972, 50903, 78622, 50432, 51181, 50901, 51818, 51423, 50947, 61725, 67308, 54585, 51295, 70718, 50444, 51476, 50933, 51719, 51174, 51249, 50959, 51818, 51058, 51078, 51309, 50903, 78516, 50450, 50998, 51003, 71005, 50456, 51181, 50897, 50986, 55056, 55629, 55801, 59210, 53053, 51417, 51410, 75489, 52097, 52052, 52097, 63557, 51064, 55937, 55023, 60322, 52127, 50420, 51414, 52407, 51190, 52492, 50426, 51457, 51333, 72203, 51064, 50905, 71005, 50432, 51684, 50865, 51981, 51423, 65069, 78516, 57080, 51562, 50899, 52097, 51146, 52097, 70718, 50444, 51410, 50933, 51414, 51174, 51457, 50959, 51981, 51058, 69999, 76702, 51190, 52492, 51955, 78622, 50456, 51137, 60175, 67308, 52894, 51241, 51410, 67835, 52311, 51487, 52311, 70718, 50420, 51414, 52407, 50960, 51680, 51190, 52492, 50426, 51457, 51333, 51064, 50972, 50903, 78622, 77901, 50977, 51981, 51423, 51067, 61725, 67308, 57080 ]
[ 0, 250, 765, 6, 14899, 15855, 2125, 4246, 1893, 43639, 6, 6755, 12547, 6, 1515, 21305, 6, 6168, 3540, 6, 8, 17691, 28430, 6, 7630, 14805, 10, 1472, 9, 9733, 8, 11098, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 20902, 27841, 3006, 11332, 20889, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 3541, 50, 28845, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 72624, 60859, 53614, 50903, 50854, 60859, 53614, 50903, 50854, 56875, 54060, 50799, 54899, 50810, 55111, 53119, 57395, 54542, 50810, 59334, 54806, 57617, 50816, 51258, 53550, 51258, 51382, 58210, 50816, 51258, 55669, 57236, 50816, 57395, 55111, 50810, 54899, 53887, 57481, 54515, 51134, 59128, 51391, 71469, 50439, 50816, 51693, 53012, 52445, 57040, 52445, 54141, 52611, 56594, 52611, 52612, 52611, 50448, 50816, 52611, 51382, 52445, 59986, 52445, 53061, 52445, 64119, 52445, 50456, 54157, 50892, 57738, 56751, 52445, 56032, 51693, 52198, 73147, 50816, 51693, 50799, 59334, 50844, 54542, 53832, 54953, 54922, 50874, 53862, 56062, 57617, 50816, 51258, 53550, 51258, 51382, 58210, 50816, 51258, 55669, 57236, 50816, 51258, 51302, 51258, 53550, 51258, 50439, 50816, 51693, 53012, 52445, 50443, 50816, 52445, 54141, 52611, 56594, 52611, 52612, 52611, 50449, 50816, 52611, 51382, 52445, 50451, 50816, 52445, 53061, 52445, 64119, 52445, 56871, 52445, 50457, 50816, 51693, 52198, 51693, 56875, 51306, 50799, 57738, 50844, 54157, 53887, 54953, 57738, 51397, 54157, 51448, 50804, 57617, 50816, 51258, 53550, 56663, 54542, 50844, 59334, 53119, 58210, 50816, 51129, 50799, 56186, 51419, 54163, 51391, 50804, 57311, 50816, 51129, 51302, 57617, 59334, 50905, 54542, 53264, 54163, 50822, 56186, 53887, 51129, 50440, 50816, 51693, 53012, 51693, 57040, 52445, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50448, 50816, 52611, 50450, 54922, 50844, 53862, 53832, 52445, 59986, 52445, 53061, 52445, 50455, 50816, 52445, 56871, 52445, 50457, 50816, 51693, 52198, 73147, 50816, 51306, 50799, 55111, 50844, 54899, 53887, 54953, 54515, 52015, 54067, 52015, 50804, 56761, 50816, 51258, 53550, 51129, 51382, 56077, 50816, 51129, 55669, 57311, 50816, 57395, 54067, 51097, 54515, 58799, 55379, 57436, 50981, 57454, 57604, 51129, 50440, 50816, 51693, 53012, 51693, 57040, 52445, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50448, 50816, 52611, 50450, 54377, 51312, 56101, 57604, 52445, 59986, 52445, 53061, 52445, 50455, 50816, 52445, 56871, 52445, 56032, 51693, 52198, 73147, 50816, 51306, 50799, 55111, 50844, 54899, 53832, 54953, 54542, 50810, 59334, 54806, 56761, 50816, 51129, 53550, 51129, 51382, 56077, 50816, 51129, 55669, 57311, 50816, 54953, 55111, 50844, 54899, 53119, 55379, 59128, 51134, 54515, 63782, 51129, 50440, 50816, 51693, 53012, 52445, 57040, 52445, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50449, 50816, 52611, 51382, 52445, 50451, 50816, 52445, 53061, 51693, 50455, 50816, 63820, 54157, 50845, 57738, 54371, 52445, 56032, 51693, 52198, 51693, 56875, 51306, 50799, 54542, 50844, 59334, 53887, 54953, 53862, 50844, 54922, 53832, 56761, 50816, 51129, 53550, 51129, 51382, 56077, 50816, 51129, 55669, 57311, 50816, 51129, 51302, 51129, 53550, 51129, 50439, 50816, 51693, 53012, 51693, 57040, 52445, 54141, 52611, 56594, 52611, 52612, 52611, 50449, 50816, 52611, 51382, 52445, 59986, 52445, 53061, 51693, 50455, 50816, 51693, 56871, 51693, 50457, 50816, 51693, 52198, 51306, 56875, 51306, 50799, 57738, 50822, 54157, 53832, 53896, 54157, 51535, 57738, 51535, 50804, 56761, 50816, 51129, 53550, 55038, 54542, 50822, 59334, 53887, 56077, 50816, 51129, 50799, 54163, 50810, 56186, 53887, 57311, 50816, 54953, 55111, 51448, 54899, 51448, 70166, 53550, 51129, 50439, 50816, 51693, 53012, 51693, 50443, 50816, 51693, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50448, 50816, 52611, 50450, 57738, 50844, 54157, 53119, 52445, 59986, 52445, 53061, 51693, 64119, 52445, 56871, 51693, 56032, 51693, 52198, 51306, 50461, 50816, 51306, 50799, 59334, 51293, 54542, 51313, 50804, 51004, 51302, 56761, 50816, 51129, 53550, 57536, 50816, 51129, 51382, 73496, 50816, 52835, 55669, 53896, 54067, 50995, 54515, 50995, 52203, 51097, 52278, 51097, 52481, 51466, 51426, 65461, 57436, 50915, 57454, 50981, 53314, 50995, 52926, 50995, 51887, 51333, 51154, 61637, 56101, 51267, 54377, 51312, 52614, 51380, 52355, 51109, 53148, 52996, 51491, 52056, 50461, 50816, 52514, 50799, 55111, 50810, 54899, 50810, 52849, 50844, 52186, 50810, 54875, 57791, 51004, 51699, 51748, 51088, 51671, 51930, 61390, 59334, 50833, 54542, 50854, 53042, 50844, 52173, 50833, 52032, 51210, 52695, 51365, 51946, 51365, 54277, 51524, 50804, 54075, 50816, 54203, 56196, 57791, 51004, 51261, 63050, 52032, 51210, 54277, 51524, 52695, 51365, 51946, 51524, 50804, 54616, 60707, 50799, 54875, 57791, 51004, 51638, 52916, 51165, 52140, 51930, 51387, 61889, 53896, 54899, 50833, 55111, 50854, 53602, 50822, 52186, 50810, 52032, 51210, 52695, 51365, 51946, 51365, 54277, 51524, 50804, 54203, 54515, 51241, 59128, 51241, 52203, 51134, 51950, 51351, 56196, 64064, 50982, 51261, 51387, 50440, 50816, 51306, 53012, 51693, 57040, 51693, 54141, 52445, 56594, 52445, 52612, 52445, 50448, 50816, 52445, 50450, 54875, 51074, 52695, 51524, 52032, 51142, 54277, 51365, 51946, 51365, 50804, 51693, 51699, 52011, 51088, 51333, 51930, 52025, 59986, 51693, 53061, 51693, 64119, 63820, 54157, 50845, 57738, 50901, 52307, 50905, 51802, 56369, 51693, 56032, 51306, 52198, 51258, 56875, 51258, 50799, 59334, 50810, 54542, 50810, 53042, 50844, 52173, 50844, 60767, 64064, 50982, 52316, 52727, 51375, 51748, 51522, 61390, 53862, 50810, 54922, 50844, 52795, 50822, 51784, 50822, 52338, 51365, 56177, 51524, 52695, 51524, 52541, 68284, 54075, 50816, 54203, 54875, 60727, 51004, 51930, 63050, 56177, 51524, 52338, 51524, 52541, 51051, 52695, 51524, 50804, 54616, 60707, 50799, 60767, 60727, 51004, 51299, 51703, 51093, 51314, 51522, 51387, 61889, 53896, 52541, 51210, 56177, 51365, 52695, 51524, 52338, 51365, 50804, 54203, 54875, 64064, 51004, 52316, 51490, 51375, 51490, 51930, 51387, 50439, 50816, 51306, 53012, 51693, 50443, 50816, 51693, 54141, 52445, 50445, 50816, 52445, 52612, 52445, 50448, 50816, 52445, 50450, 60767, 51079, 52338, 51365, 56177, 51524, 52695, 51365, 52541, 69028, 51693, 51522, 52025, 59986, 51693, 53061, 51693, 64119, 51693, 56871, 51693, 50457, 50816, 51306, 52198, 51258, 50461, 50816, 51258, 50799, 54157, 50810, 57738, 50810, 52307, 50844, 51802, 50810, 56196, 60727, 50982, 51638, 53201, 51165, 52829, 51261, 61390, 54157, 51397, 57738, 51562, 52307, 51448, 51802, 51448, 52665, 51524, 52032, 51210, 54277, 51365, 52541, 51524, 50804, 54075, 50816, 54203, 56196, 64064, 51004, 51261, 67427, 59334, 50854, 54542, 50854, 53042, 50844, 52173, 50810, 52695, 51524, 52541, 51524, 52032, 51210, 54277, 51524, 50804, 54616, 60707, 50799, 56186, 51134, 54163, 51351, 52494, 51391, 51900, 51134, 56196, 60727, 51004, 51261, 51387, 61889, 53896, 54277, 51365, 52541, 51524, 52032, 51210, 52665, 51524, 50804, 54075, 54542, 50845, 59334, 50901, 53042, 50905, 52173, 53913, 54163, 50854, 56186, 50854, 52494, 50822, 51900, 50844, 56196, 60727, 50982, 51261, 51432, 50440, 50816, 51306, 53012, 51693, 57040, 51693, 54141, 52445, 56594, 52445, 52612, 52445, 50448, 50816, 52445, 50450, 53862, 50844, 54922, 50810, 52795, 50844, 51784, 50810, 54277, 51524, 52541, 51365, 52032, 51210, 52665, 51365, 50804, 51693, 50451, 50816, 51693, 53061, 51693, 50455, 50816, 51693, 56871, 51693, 56032, 51306, 52198, 51258, 56875, 51258, 50799, 54899, 50854, 55111, 50854, 53602, 50822, 52186, 50810, 54875, 64064, 50928, 51638, 58651 ]
[ 0, 4688, 20425, 5175, 2214, 11, 272, 538, 6, 4246, 10, 20902, 1076, 560, 31365, 25999, 483, 7513, 30, 10, 20535, 2810, 6, 3459, 9590, 6, 6755, 12547, 6, 8, 3459, 8669, 4, 590, 10, 1769, 20889, 9, 18817, 163, 5683, 8, 10, 132, 73, 306, 86, 6543, 6, 5, 33301, 25780, 149, 10, 16739, 9, 272, 6, 211, 406, 6, 272, 6, 1918, 6, 8, 211, 406, 73, 597, 10431, 40286, 6, 7630, 14805, 10, 8576, 9, 8597, 31, 11098, 7, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 77669, 51038, 51038, 51057, 51088, 50948, 62243, 51946, 50977, 51951, 50854, 57293, 53632, 53966, 56884, 56260, 50816, 53576, 51776, 54007, 52578, 53950, 51776, 55104, 52578, 53974, 51776, 64141, 50804, 50863, 51057, 51699, 50948, 56723, 51946, 50977, 52682, 50977, 51951, 53632, 57112, 56260, 50816, 53576, 52226, 50812, 51652, 52757, 50608, 54069, 52522, 50812, 51643, 72560, 52905, 51652, 50812, 52226, 52757, 50608, 54694, 52522, 50812, 51643, 72560, 52844, 52226, 50854, 51652, 53376, 50608, 58414, 50804, 50837, 51057, 52776, 50948, 62243, 51946, 50977, 51963, 50936, 70676, 50854, 52682, 53632, 57445, 53500, 53855, 50953, 50889, 53779, 50883, 51057, 51443, 54566, 50373, 79052, 56621, 50816, 52762, 55015, 56993, 52417, 53792, 57957, 50846, 51057, 50964, 50878, 54531, 51312, 50420, 51451, 50863, 51366, 54839, 52712, 51443, 50955, 57218, 57173, 51451, 50863, 51366, 54946, 50825, 51057, 50964, 50942, 55995, 51312, 50420, 51451, 50863, 51366, 54839, 52712, 51443, 50955, 56337, 62050, 51366, 50863, 51451, 50863, 55995, 63658, 50835, 51057, 70224, 55995, 51380, 50420, 51912, 50863, 51322, 54839, 52641, 51443, 50955, 57890, 51480, 50432, 51322, 50863, 51912, 54946, 50829, 74248, 50955, 57890, 51642, 50420, 51322, 50863, 51912, 54839, 58115, 72358, 53327, 58990, 50816, 52712, 50927, 50955, 54283, 56993, 52953, 51912, 50863, 51322, 50863, 55015, 59140, 50839, 51057, 51443, 50955, 53792, 51312, 50420, 51322, 50863, 51912, 54839, 52712, 51205, 50955, 56337, 69558, 51912, 50863, 51322, 54946, 50825, 51057, 70224, 57890, 51775, 50420, 51912, 50863, 51322, 54839, 52712, 50953, 50955, 55995, 59982, 51912, 50863, 51322, 50863, 57890, 59140, 50835, 51057, 50964, 50878, 54629, 60726, 51451, 50863, 51366, 54839, 52641, 50964, 50955, 54531, 51484, 50432, 51366, 50863, 51451, 54946, 50829, 51057, 50964, 50810, 54531, 70152, 51443, 50844, 51451, 50863, 51366, 54839, 58115, 72358, 53327, 58990, 50816, 52712, 51069, 50810, 55015, 50845, 51683, 56751, 52953, 51205, 50844, 51451, 50863, 51366, 50863, 53792, 50905, 51648, 56649, 50839, 51057, 50964, 50878, 54531, 51312, 52338, 50932, 51888, 57933, 51366, 50863, 51451, 54839, 52712, 51443, 50955, 55995, 50892, 53064, 57648, 51366, 50863, 51451, 50863, 56337, 57957, 50825, 51057, 50964, 50878, 57218, 51312, 51946, 60115, 51451, 50837, 51366, 53802, 52712, 50964, 50955, 56337, 50892, 52032, 50915, 51648, 54100, 51451, 50837, 51366, 50837, 55995, 50892, 51888, 56649, 50835, 51057, 50945, 50878, 54629, 51312, 52196, 50981, 51713, 57933, 51451, 50837, 51256, 53802, 52641, 50964, 50955, 56337, 50892, 51996, 54100, 51256, 50837, 51451, 50837, 57218, 50892, 51946, 57957, 50829, 51057, 50945, 50955, 60750, 51312, 52196, 67568, 51256, 50837, 51451, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 50945, 50955, 57218, 56993, 52953, 51451, 50837, 51256, 50837, 56337, 57957, 50839, 51057, 50953, 50955, 54531, 50995, 51946, 51314, 52310, 67568, 51912, 50837, 51322, 53802, 52670, 80147, 60750, 57691, 53031, 51322, 50837, 51912, 53802, 50835, 51057, 51011, 50878, 57218, 50995, 51996, 51447, 51648, 51145, 50816, 53203, 51912, 50837, 51322, 53802, 52928, 51415, 50878, 56337, 51253, 50816, 52925, 51322, 50837, 51912, 53802, 50841, 51057, 51133, 50878, 55995, 51148, 53064, 52783, 51683, 51803, 50420, 51366, 50837, 51451, 53802, 54069, 50816, 52905, 50953, 50955, 67654, 52844, 51366, 50837, 51451, 53802, 50828, 51057, 50964, 63250, 53576, 51451, 50837, 51366, 53802, 52437, 50953, 50955, 55015, 59140, 52927, 51451, 50837, 51366, 50837, 53792, 56751, 50818, 51057, 51299, 51097, 50964, 50878, 54531, 51312, 50420, 51366, 50837, 51451, 53802, 58646, 51301, 60324, 51443, 50955, 57218, 57173, 51366, 50837, 51451, 56061, 50825, 51057, 51088, 51097, 50964, 50942, 55995, 51312, 50420, 51366, 50837, 51451, 53802, 52712, 51491, 51097, 51443, 50955, 56337, 62050, 51366, 50837, 51451, 50837, 55995, 63658, 50835, 51057, 51154, 51542, 70224, 55995, 51380, 50420, 51912, 50837, 51322, 53802, 52641, 51443, 50955, 57890, 51480, 50429, 51301, 54221, 51251, 50822, 51322, 50837, 51912, 56061, 54288, 51301, 50874, 51057, 51154, 51447, 50927, 50955, 57890, 51642, 50420, 51322, 50837, 51912, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 50927, 50955, 54283, 56993, 52953, 51322, 50837, 51912, 50837, 55015, 59140, 50839, 51057, 52065, 51108, 51443, 50955, 53792, 51312, 50420, 51322, 50837, 51912, 53802, 58646, 51251, 60324, 51205, 50955, 56337, 57173, 51322, 50837, 51912, 56061, 50825, 51057, 78035, 70224, 57890, 51775, 50420, 51322, 50837, 51912, 53802, 52712, 51154, 50995, 50953, 50955, 55995, 59982, 51322, 50837, 51912, 50837, 57890, 59140, 50835, 51057, 51301, 51542, 50964, 50878, 54629, 60726, 51451, 50837, 51366, 53802, 52641, 50964, 50955, 54531, 51484, 50429, 51251, 54221, 51299, 50827, 51451, 50837, 51366, 56061, 54288, 51251, 50827, 51057, 51301, 51314, 50964, 50810, 54531, 70152, 51443, 50844, 51366, 50837, 51451, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 51069, 50810, 55015, 54371, 52953, 51205, 50844, 51451, 50837, 51366, 50837, 53792, 59140, 50839, 51057, 51299, 50932, 50964, 50810, 54531, 51312, 51836, 51662, 50420, 51451, 50837, 51366, 53802, 52712, 51301, 50932, 51443, 50955, 55995, 54100, 51451, 50837, 51366, 50837, 56337, 57957, 50825, 51057, 51088, 51097, 50964, 50878, 57218, 51312, 50420, 51366, 50837, 51451, 53802, 52712, 51301, 51097, 50964, 50955, 56337, 50892, 52032, 57648, 51366, 50837, 51451, 50837, 55995, 57957, 50835, 51057, 51154, 50995, 50945, 50878, 54629, 51312, 52196, 51312, 50420, 51256, 50837, 51451, 53802, 52641, 51251, 50892, 50964, 50955, 56337, 50892, 51996, 53961, 51301, 51233, 51451, 50837, 51256, 50837, 57218, 50892, 51946, 51337, 50816, 50829, 51057, 51154, 51145, 50945, 50955, 60750, 51312, 52196, 67568, 51451, 50837, 51256, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 50945, 50955, 57218, 56993, 52953, 51451, 50837, 51256, 50837, 56337, 57957, 50839, 51057, 50953, 50955, 54531, 50995, 51946, 51397, 50420, 51912, 50837, 51322, 53802, 52670, 51699, 50995, 80147, 60750, 57691, 53031, 51322, 50837, 51912, 53802, 50829, 51057, 51883, 50995, 51011, 50878, 57218, 50995, 51996, 51148, 50816, 53403, 51912, 50837, 51322, 53802, 52639, 52065, 51097, 51415, 50878, 56337, 51253, 50816, 52925, 51322, 50837, 51912, 53802, 50841, 51057, 51299, 51680, 51133, 50878, 55995, 51148, 53064, 51803, 50420, 51451, 50837, 51366, 50837, 51776, 53497, 53423, 52002, 54690, 52437, 50953, 50955, 50429, 52002, 54690, 52209, 51451, 50837, 51366, 50837, 51776, 54472, 50818, 51057, 50964, 50955, 51451, 50837, 51366, 50837, 52002, 54690, 52432, 51443, 50955, 51776, 54218, 52437, 51069, 50955, 65700, 50805, 52002, 53228, 52667, 51205, 50955, 58982, 50805, 53170, 54218, 50828, 51057, 51093, 51218, 50964, 50878, 55995, 51391, 56724, 51157, 52306, 66128, 51451, 50825, 51366, 50825, 52196, 53832, 54316, 51946, 52921, 75567, 52196, 50932, 52376, 55112, 51093, 50873, 51451, 50825, 51366, 50825, 55995, 57957, 50835, 51057, 51266, 50943, 51133, 50833, 57218, 50981, 52196, 50822, 52832, 51157, 50417, 51946, 53728, 51133, 50833, 51451, 50825, 51366, 50825, 52196, 73570, 52762, 51093, 50943, 51415, 50833, 55995, 50995, 52457, 56504, 78355, 51451 ]
[ 0, 4688, 9066, 8, 814, 12, 21330, 5175, 19834, 6, 42, 8787, 15229, 16, 278, 11, 211, 3694, 8, 11498, 10, 7212, 204, 73, 306, 20889, 4, 20, 13305, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 2382, 3459, 8669, 6, 8, 36075, 8669, 35810, 561, 7, 1045, 10, 25306, 5797, 990, 1506, 6, 7630, 14805, 2933, 8, 3722, 223, 34693, 4, 20, 46336, 5252, 16, 10122, 19, 5, 40286, 211, 119, 6, 274, 73, 347, 6, 163, 43531, 1176, 406, 6, 2060, 401, 6, 8, 381, 6, 1271, 5581, 7, 42, 24111, 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 ]	[ 54458, 54311, 50811, 51137, 51581, 50287, 58172, 51137, 50811, 51026, 53728, 51137, 50811, 51026, 54252, 54311, 50811, 51137, 51581, 50287, 52921, 51137, 50811, 51026, 56739, 51137, 50811, 51026, 53193, 54311, 50811, 51137, 51581, 50287, 54378, 51137, 50811, 51026, 50822, 75849, 50811, 51137, 51581, 50287, 57366, 51137, 50811, 51026, 53743, 51137, 50811, 51026, 55118, 54311, 50811, 51214, 53140, 51137, 50811, 51026, 56936, 54311, 50811, 51137, 51581, 50287, 53820, 51137, 50811, 51026, 54846, 51137, 50811, 51026, 50822, 67398, 50811, 51137, 51581, 50287, 58172, 51137, 50811, 51026, 53728, 51137, 50811, 51026, 54252, 54311, 50811, 51214, 52921, 51137, 50811, 51026, 56739, 51137, 50811, 51026, 53193, 54311, 50811, 51137, 51581, 50287, 54378, 51137, 50811, 51026, 50822, 75849, 50811, 51214, 57366, 51137, 50811, 51026, 53743, 51137, 50811, 51026, 55118, 54311, 50811, 51214, 53140, 51137, 50811, 51026, 56936, 54311, 50811, 51137, 51581, 50287, 53820, 51137, 50811, 51026, 54846, 51137, 50811, 51026, 50822, 67398, 50811, 51137, 51581, 50287, 58172, 51137, 50811, 51026, 53728, 51137, 50811, 51026, 54252, 54311, 50811, 51137, 51581, 50287, 52921, 51137, 50811, 51026, 56739, 51137, 50811, 51026, 53193, 54311, 50811, 51214, 54378, 51137, 50811, 51026, 61573, 54311, 50811, 51137, 51581, 50287, 50822, 50440, 51137, 50811, 51026, 70627, 51137, 50811, 51026, 62077, 54311, 50811, 51214, 64827, 51137, 50811, 51026, 76960, 54311, 50811, 51137, 51581, 50287, 66968, 51137, 50811, 51026, 63105, 51137, 50811, 51026, 61982, 54311, 50811, 51137, 51581, 50287, 50822, 51809, 51137, 50811, 51026, 68649, 51137, 50811, 51026, 65532, 54311, 50811, 51137, 51581, 50287, 63750, 51137, 50811, 51026, 73881, 51137, 50811, 51026, 63605, 54311, 50811, 51137, 51581, 50287, 59909, 51137, 50811, 51026, 61573, 54311, 50811, 51137, 51581, 50287, 50822, 50440, 51137, 50811, 51026, 70627, 51137, 50811, 51026, 62077, 54311, 50811, 51137, 51581, 50287, 64827, 51137, 50811, 51026, 76960, 54311, 50811, 51214, 66968, 51137, 50811, 51026, 63105, 51137, 50811, 51026, 66211, 56991, 54454, 50461, 56991, 56073, 58154, 51160, 51214, 51313, 51026, 51412, 51165, 53753, 51809, 69360, 51020, 50827, 51075, 50827, 51211, 73616, 51083, 75546, 50838, 70807, 51211, 67132, 51132, 51427, 51026, 51412, 50425, 69360, 51020, 50827, 51075, 50827, 51211, 50827, 50428, 51083, 75546, 50838, 70807, 51211, 70217, 51137, 52362, 50299, 70139, 51083, 75546, 50838, 70807, 51211, 65668, 51137, 51427, 51026, 51412, 50440, 69360, 51020, 50827, 51075, 50827, 51211, 75396, 51083, 75546, 50838, 70807, 51211, 69262, 51137, 51936, 50299, 78876, 51083, 75546, 50838, 70807, 51211, 75013, 51137, 51235, 51026, 51412, 50455, 69360, 51020, 50827, 51075, 50827, 51211, 65241, 69360, 51020, 50827, 51075, 50827, 51211, 61243, 58154, 51160, 51214, 51313, 51026, 51412, 51809, 69360, 51268, 50827, 51075, 50827, 51529, 73616, 51083, 50838, 51268, 50838, 70807, 51529, 67132, 51132, 51427, 51026, 51412, 50425, 69360, 51268, 50827, 51075, 50827, 51529, 50827, 50428, 51083, 50838, 51268, 50838, 70807, 51529, 70217, 51137, 53194, 50299, 70139, 51083, 50838, 51268, 50838, 70807, 51529, 50838, 50436, 55851, 51175, 50437, 55851, 51354, 51137, 51460, 51026, 51412, 51093, 51233, 50440, 69360, 51268, 50827, 51075, 50827, 51529, 53086, 56991, 51215, 50445, 56991, 51379, 51165, 51233, 50446, 51137, 51936, 50299, 78876, 51083, 50838, 51268, 50838, 70807, 51529, 75013, 55769, 51091, 51137, 51175, 51026, 51412, 50453, 55769, 51226, 51113, 51391, 50455, 69360, 51075, 61243, 51137, 51460, 51214, 51313, 51026, 51412, 51809, 69360, 51061, 50827, 51075, 50827, 51344, 73616, 51083, 72295, 50838, 70807, 51344, 54177, 56991, 51095, 50421, 56991, 51167, 50422, 51137, 51235, 51026, 51412, 51165, 51233, 50425, 69360, 51061, 50827, 51075, 50827, 51344, 50827, 50428, 56991, 51896, 51083, 72295, 50838, 70807, 51344, 58125, 56991, 52017, 51165, 51742, 50431, 51137, 52362, 50299, 70139, 51083, 72295, 50838, 70807, 60944, 50437, 51137, 51379, 51026, 51412, 50440, 69360, 51061, 50827, 51075, 50827, 51344, 75396, 51083, 72295, 50838, 70807, 60944, 50446, 51137, 51936, 50299, 78876, 51083, 72295, 50838, 70807, 60944, 50452, 51137, 51235, 51026, 51412, 50455, 69360, 51061, 50827, 51075, 50827, 51344, 65241, 69360, 51061, 50827, 51075, 50827, 51344, 61243, 51137, 51483, 51214, 51313, 51026, 51412, 51809, 69360, 51089, 50827, 51075, 50827, 64693, 50419, 51083, 50838, 51089, 50838, 70807, 51219, 67132, 51137, 51235, 51026, 51412, 50425, 69360, 51089, 50827, 51075, 50827, 64693, 50428, 51083, 50838, 51089, 50838, 70807, 51219, 70217, 54358, 50805, 54358, 50893, 51137, 53194, 50299, 54342, 51088, 71648, 51083, 50838, 51089, 50838, 70807, 51219, 65668, 55851, 51175, 55851, 51167, 51137, 51460, 51026, 51412, 50438, 51093, 51233, 50441, 69360, 51089, 50827, 51075, 50827, 51219, 53086, 51083, 50838, 51089, 50838, 70807, 51219, 67446, 56991, 51215, 50446, 56991, 51175, 51165, 51233, 50447, 51137, 51936, 50299, 54323, 51083, 50838, 51089, 50838, 70807, 51219, 59354, 55769, 51091, 51137, 51227, 51026, 51412, 50454, 55769, 51226, 51113, 51391, 50456, 69360, 51089, 50827, 51075, 50827, 51219, 54529, 69360, 51089, 50827, 51075, 50827, 64693, 51094, 50273, 51427, 51214, 51313, 51026, 51412, 50417, 69360, 51341, 50827, 51075, 50827, 51569, 53004, 51083, 50838, 51341, 50838, 70807, 51569, 70631, 56991, 71587, 56991, 51167, 51165, 51233, 50423, 51132, 51160, 51026, 51412, 50426, 69360, 51341, 50827, 51075, 50827, 51569, 54889, 56991, 51896, 51083, 50838, 51341, 50838, 70807, 71170, 50430, 56991, 57676, 51165, 51742, 50432, 51137, 53194, 50299, 60282, 51083, 50838, 51341, 50838, 70807, 51569, 52718, 51137, 51460, 51026, 51412, 50441, 69360, 51341, 50827, 51075, 50827, 51569, 53086, 51083, 50838, 51341, 50838, 70807, 51569, 57060, 51137, 51936, 50299, 54323, 51083, 50838, 51341, 50838, 70807, 51569, 59354, 51137, 51235, 51026, 51412, 50456, 69360, 51341, 50827, 51075, 50827, 51569, 54529, 69360, 51341, 50827, 51075, 50827, 51569, 50827, 53053, 51460, 51026, 51124, 50417, 69360, 51020, 50827, 51075, 50827, 51211, 53004, 51083, 75546, 50838, 70807, 51211, 56909, 51640, 51235, 51378, 74592, 69360, 51020, 50827, 51075, 50827, 51211, 54889, 51083, 75546, 50838, 70807, 51211, 53052, 51132, 51460, 51050, 51124, 50435, 51083, 75546, 50838, 70807, 51211, 58978, 51374, 51235, 51315, 51124, 69360, 51020, 50827, 51075, 50827, 51211, 53086, 51083, 75546, 50838, 70807, 51211, 52985, 51533, 52370, 50295, 50849, 51083, 75546, 50838, 70807, 51211, 53581, 51181, 52362, 50294, 50849, 69360, 51020, 50827, 51075, 50827, 51211, 54529, 69360, 51020, 50827, 51075, 50827, 51211, 61243, 56991, 51036, 50799, 56991, 52379, 51957, 51460, 51360, 51412, 51165, 51293, 50417, 51020, 50827, 51211, 53004, 51495, 50838, 51089, 50838, 51548, 50838, 51219, 56909, 51957, 51235, 51360, 51412, 50426, 51495, 50827, 51089, 50827, 51548, 50827, 51219, 54889, 51495, 50838, 51089, 50838, 51548, 50838, 51219, 53052, 51957, 52362, 50293, 60282, 51495, 50838, 51089, 50838, 51548, 50838, 51219, 50838, 58105, 51427, 51360, 51412, 50441, 51495, 50827, 51089, 50827, 51548, 50827, 51219, 53086, 51495, 50838, 51089, 50838, 51548, 50838, 51219 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 11, 163, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 8669, 6, 9590, 6, 21072, 6, 8, 930, 2233, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 5705, 35315, 5, 33215, 16739, 9, 274, 10431, 6, 163, 6, 381, 6, 274, 10431, 6, 8, 163, 6, 2351, 10, 1372, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 50903, 51177, 71750, 51177, 50440, 50903, 51277, 50447, 50903, 51177, 50453, 50903, 51277, 50460, 50903, 51177, 52478, 51493, 50855, 53388, 52598, 53559, 54532, 55439, 51447, 52120, 53837, 59335, 56856, 51493, 50840, 51042, 60722, 68565, 51750, 52546, 53423, 51471, 57363, 51139, 56171, 51493, 51750, 64015, 51493, 63243, 57930, 68096, 51539, 52546, 57318, 51471, 50431, 52120, 57201, 51493, 51750, 54288, 51493, 50836, 51042, 60722, 68565, 51750, 52546, 58024, 56270, 51493, 50841, 53022, 56993, 51139, 59797, 51493, 50841, 51217, 52223, 55262, 51493, 50895, 51042, 62338, 62386, 51464, 52546, 58431, 52659, 51467, 57028, 51216, 53097, 55280, 50446, 53395, 50908, 53559, 51306, 53652, 50928, 51017, 63117, 63607, 51916, 60044, 53240, 50846, 53395, 51008, 53559, 51008, 53652, 51051, 51017, 50854, 58817, 50850, 53330, 52546, 57868, 50852, 56012, 51216, 53966, 51139, 53545, 51868, 50846, 53395, 51004, 53559, 50891, 53652, 67906, 52348, 57690, 51984, 50809, 53395, 50833, 53559, 50854, 53652, 50844, 50850, 51750, 52546, 52349, 51125, 51467, 57059, 51668, 50812, 53282, 52460, 54106, 54521, 56590, 51642, 52120, 53902, 50944, 72913, 50837, 51298, 50372, 52418, 56172, 55781, 50846, 66523, 75035, 51298, 53330, 52546, 50818, 51601, 51471, 50416, 51668, 53966, 51139, 59720, 51930, 50846, 52889, 50982, 50944, 52348, 61132, 53262, 50809, 53559, 50834, 53282, 61442, 51750, 52546, 52432, 53395, 59043, 51298, 51467, 54104, 51984, 50897, 53022, 51627, 53559, 52441, 55439, 51961, 52120, 58423, 56457, 51493, 65289, 50870, 50992, 51750, 52546, 60568, 51471, 50429, 51493, 54212, 51139, 56999, 51493, 50839, 51217, 51750, 57107, 51493, 69543, 50863, 50992, 52465, 52546, 56859, 51471, 50436, 51668, 53790, 55280, 50437, 51868, 50829, 53559, 50835, 55439, 53600, 57270, 51984, 70387, 68565, 51750, 52546, 53905, 53559, 50825, 55439, 51833, 58900, 51868, 52572, 51139, 52210, 51668, 50834, 53388, 51000, 51042, 52223, 56892, 51522, 50839, 53559, 50835, 55439, 50886, 50868, 51916, 52546, 53641, 51705, 61896, 50891, 50992, 51833, 56918, 53381, 51806, 53559, 51806, 53652, 51806, 52120, 56086, 51705, 65453, 50870, 50944, 67804, 50870, 51125, 52348, 64314, 51705, 50952, 50868, 67380, 50833, 59416, 51125, 52938, 52546, 57109, 51471, 50455, 59425, 57430, 51705, 64383, 50870, 50944, 67804, 50870, 51125, 52348, 54794, 51705, 55729, 66275, 58243, 50836, 51125, 52217, 51989, 57319, 51471, 50799, 54106, 51884, 56590, 51797, 61069, 52011, 52120, 61131, 51668, 51467, 56166, 51668, 50859, 51042, 79710, 63264, 51437, 52546, 58100, 80077, 51930, 51907, 51139, 56493, 54106, 50955, 51471, 50424, 53262, 50883, 56590, 50863, 51042, 63431, 68058, 51464, 52546, 57550, 51930, 51135, 56680, 51493, 50855, 53022, 51627, 53559, 52441, 55439, 51961, 50868, 51258, 50992, 50870, 52747, 50917, 53170, 50917, 52120, 53837, 54013, 51471, 50430, 51493, 60975, 50982, 50992, 55316, 52546, 70131, 56516, 51888, 50917, 52747, 58224, 51139, 53593, 51493, 51750, 57405, 51493, 56288, 68096, 51750, 52546, 56484, 51471, 50440, 52489, 51162, 52310, 51162, 52120, 58408, 51493, 50835, 53559, 50835, 55439, 51004, 51217, 51916, 58616, 51493, 62427, 50982, 50992, 51916, 52546, 58500, 53559, 50825, 55439, 51833, 54368, 51493, 54131, 51139, 60794, 51493, 50841, 53388, 51000, 51217, 51464, 52802, 51493, 50895, 53559, 50835, 55439, 50886, 50868, 52771, 52546, 59671, 52659, 65289, 79603, 51437, 55097, 51216, 50812, 53395, 51852, 53559, 58090, 53652, 52034, 54556, 53097, 55280, 50455, 51471, 50457, 53240, 50846, 68320, 57553, 61859, 53170, 51420, 52546, 56637, 51471, 50460, 51216, 50839, 53170, 53497, 51139, 56904, 51868, 79640, 62193, 52611, 50415, 51984, 50809, 53395, 50886, 53559, 50867, 53652, 50864, 51017, 65289, 63752, 50839, 52002, 51420, 52546, 50818, 51402, 60461, 53381, 51806, 54106, 51806, 56590, 51806, 52747, 53097, 51044, 52432, 51668, 50839, 50979, 50870, 50944, 50870, 50935, 52348, 56856, 51668, 65861, 67380, 50833, 70392, 52578, 51420, 52546, 53423, 51471, 50425, 51930, 50800, 51888, 53497, 51139, 56171, 50979, 50870, 50944, 50870, 50935, 52348, 64015, 53262, 50883, 50979, 66275, 62552, 50836, 52578, 51420, 52546, 57318, 51930, 51135, 59278, 51888, 50917, 52747, 50917, 52120, 57201, 51493, 51437, 54288, 51493, 63243, 60722, 68565, 51750, 52546, 58024, 53022, 73678, 52766, 53559, 52996, 55439, 51380, 56590, 51709, 52310, 50917, 51888, 58224, 51139, 59797, 51493, 51464, 55262, 51493, 50925, 51042, 57930, 68096, 51539, 52546, 58431, 51471, 50445, 52489, 51162, 52310, 51162, 52120, 57000, 51493, 51750, 60044, 51493, 50820, 53388, 50886, 51042, 60722, 68565, 51750, 52546, 57868, 51493, 50841, 53559, 50863, 55439, 51539, 57136, 59425, 53545, 51493, 50891, 53388, 50837, 51217, 52223, 57690, 51493, 50891, 53559, 50941, 55439, 50886, 56590, 50813, 51042, 62338, 62386, 51464, 52546, 52349, 51493, 51130, 57059, 53262, 50808, 53381, 51806, 53559, 51806, 53652, 51806, 51913, 50917, 52578, 50917, 52120, 53902, 50868, 50870, 50944, 67804, 50870, 51125, 52348, 56172, 51705, 65289, 67380, 50833, 59416, 51125, 52938, 52546, 50818, 51601, 51471, 50416, 51705, 50846, 52002, 51110, 59425, 59720, 51705, 65289, 50870, 50944, 67804, 50870, 51125, 52348, 61132, 50868, 66275, 58243, 50836, 51125, 52217, 52546, 52432, 51705, 65992, 63255, 55781, 50839, 53282, 52460, 54106, 54521, 56590, 51642, 52120, 58423, 55781, 70484, 50870, 50944, 50870, 50935, 52348, 52762, 53262, 70484, 67380, 50833, 70392, 52747, 51420, 52546, 60568, 51668, 51044, 54956, 52747, 53497, 51139, 56999, 53262, 50982, 52889, 50982, 50979, 50870, 50944, 50870, 50935, 52348, 52953, 53559, 50834, 53282, 58685, 55781, 50883, 53395, 65641, 66275, 62552, 50836, 52578, 51420, 52546, 56859, 51471, 50436, 51493, 65892, 51258, 50992, 50971, 52578, 53704, 55280, 50437, 52578, 51187, 57270, 51493, 60975, 50982, 70948, 51888, 50828, 52578, 51187, 52546, 53905, 53022, 52231, 52578, 51187, 58900, 53559, 52996, 55439, 51380, 56590, 51709, 51888, 50812, 52578, 53497, 51139, 52210, 51493, 51750, 56892, 51493, 56288, 68096, 50835, 52310, 51420, 52546, 53641, 51471, 50449, 52489, 51159, 52310, 51159, 52120, 56086, 51493, 50835, 51217, 51916, 64314, 51493, 50836, 53388, 50886, 50868, 50982, 50992, 51916, 52546, 57109, 53559, 50863, 55439, 51539, 58677, 51493, 54131, 51139, 57430, 51493, 50841, 53388, 50837, 51217, 51464, 54794, 51493, 50895, 53559, 50941, 55439, 50886, 56590, 59108, 52771, 52546, 57319, 52659, 65289, 79603, 51437, 50829, 50799, 53240, 50808, 53022, 51806, 53559, 51806, 53652, 51806, 51913, 50917, 52120, 61131, 51017, 63117, 63607, 51916, 56166, 51216, 50839, 51017, 50854, 58817, 50850, 53330, 52546, 58100, 56345, 50421, 51216, 50846, 52578, 51110, 59425, 56493, 51216, 65289, 52348, 58830, 51216, 50808, 50850, 51750, 51989, 57550, 51125, 51467, 56680, 51668, 50812, 53282, 51852, 54106, 58090, 56590, 52034, 52120, 54013, 51471, 50430, 55781, 50846, 52578, 51420, 52546, 56999, 71933, 69082, 75721, 51361, 56516, 51668, 50839, 52747, 53497, 51139, 53593, 51930, 51239, 59370, 51791, 52611, 50437, 53262, 50809, 53282, 50886, 54106, 50867, 56590, 50864, 50979, 76061, 69010, 50839, 52578, 51420, 52546, 56484, 51471, 50440, 51984, 50800, 53388, 52598, 53559, 54532, 55439, 51447 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 38668, 22052, 6, 21072, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 38668, 2236, 6, 8, 21979, 9590, 4, 20, 2125, 16, 278, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5553, 163, 5683, 6, 2351, 10, 23975, 8, 2829, 2933, 5466, 14, 19101, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 62423, 51184, 54256, 55804, 54256, 52302, 54256, 53578, 54256, 52630, 54256, 54935, 54256, 52265, 54256, 53785, 54256, 57776, 70618, 51352, 50438, 54256, 54129, 54256, 52267, 54256, 51463, 55888, 54256, 51463, 55268, 54256, 51463, 56883, 54256, 51463, 55433, 54256, 51463, 56419, 54256, 52279, 50887, 50799, 54064, 51655, 52016, 52392, 51678, 52392, 54045, 51538, 51098, 63388, 51073, 54001, 57560, 50879, 51039, 54818, 51098, 51158, 50903, 54047, 74667, 66639, 50952, 51361, 55486, 51140, 53238, 50952, 57280, 55110, 57681, 50903, 53806, 51098, 54523, 50879, 77653, 55268, 53557, 50910, 50903, 53988, 74667, 62341, 50952, 50453, 54045, 52643, 55205, 53848, 57196, 50808, 50799, 52233, 52392, 52091, 52392, 51678, 52392, 54045, 51538, 51098, 61025, 68760, 59912, 50887, 51768, 54047, 74667, 62341, 50952, 51361, 55486, 51140, 53238, 50952, 57280, 52189, 57681, 50903, 53806, 51098, 63388, 50879, 77653, 55268, 53557, 67893, 53988, 62992, 62341, 59682, 54045, 52643, 55205, 53848, 57196, 50808, 50799, 54064, 51472, 52016, 51472, 51678, 51655, 54045, 51538, 51098, 56910, 68760, 59912, 50887, 51768, 54047, 62992, 62341, 50952, 51361, 55486, 51140, 53238, 59646, 52233, 51336, 52091, 51336, 51098, 52189, 57681, 50903, 53806, 51098, 66150, 50879, 77653, 55268, 53494, 67638, 53988, 51388, 51068, 62341, 50859, 50799, 54064, 52392, 52016, 52392, 51821, 52392, 53452, 51991, 51261, 58396, 68760, 53829, 51261, 58415, 50887, 51768, 54047, 51388, 51068, 62341, 50952, 51361, 55486, 51261, 58396, 50952, 50437, 70618, 51352, 51570, 57681, 50903, 53806, 51261, 54523, 50879, 77653, 50887, 51955, 53988, 62992, 62341, 54418, 52495, 56419, 52495, 50884, 50799, 52495, 50887, 54064, 51336, 52016, 51336, 51821, 51364, 50757, 50330, 52220, 78006, 52495, 50952, 50757, 50330, 52302, 50757, 50330, 54381, 52495, 51238, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51655, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50884, 50757, 50330, 51670, 71074, 53806, 52239, 50859, 50757, 50330, 51670, 71074, 58181, 52495, 50952, 50757, 50330, 52768, 52239, 50879, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 52495, 50859, 50757, 50330, 54871, 52239, 50859, 50757, 50330, 50811, 50799, 52248, 50887, 51821, 54300, 51701, 51336, 50757, 50330, 52220, 78006, 52248, 50879, 50757, 50330, 52302, 50757, 50330, 54381, 52269, 51238, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52248, 50879, 50757, 50330, 54496, 50757, 50330, 52952, 52239, 50859, 54064, 51655, 52016, 51655, 50757, 50330, 55092, 52495, 51294, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 52706, 50859, 50757, 50330, 54871, 52495, 50887, 50757, 50330, 50811, 50799, 52495, 50887, 50757, 50330, 52220, 78006, 52495, 50952, 50757, 50330, 52302, 50757, 50330, 54381, 52495, 51215, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51336, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50884, 50757, 50330, 51670, 71074, 53806, 52239, 50879, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 52495, 50859, 50757, 50330, 56658, 53988, 68458, 52239, 50879, 50757, 50330, 52884, 50757, 50330, 54871, 52248, 51472, 50757, 50330, 50811, 72671, 54300, 51821, 54300, 51701, 51655, 50757, 50330, 52220, 78006, 50757, 50330, 52302, 50757, 50330, 54381, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 50757, 50330, 54496, 50757, 50330, 52952, 50757, 50330, 55092, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 50757, 50330, 54871, 52706, 50884, 50757, 50330, 50811, 50799, 52706, 50952, 54064, 51336, 50757, 50330, 52220, 78006, 52495, 50859, 50757, 50330, 52302, 50757, 50330, 54381, 52495, 51215, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51655, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50887, 50757, 50330, 51670, 71074, 53806, 52239, 50859, 50757, 50330, 51670, 71074, 58181, 52495, 50859, 50757, 50330, 52768, 52239, 50879, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 52495, 50859, 50757, 50330, 54871, 52239, 50859, 50757, 50330, 50811, 50799, 52248, 50952, 51821, 54300, 51701, 51336, 50757, 50330, 52220, 78006, 50757, 50330, 52302, 52248, 50952, 50757, 50330, 54381, 52269, 50879, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 52248, 50952, 50757, 50330, 52726, 52449, 51294, 50757, 50330, 54496, 50757, 50330, 52952, 54064, 51655, 52016, 51655, 50757, 50330, 55092, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 50757, 50330, 54871, 52706, 50884, 50757, 50330, 50811, 50799, 52706, 50859, 50757, 50330, 52220, 78006, 52495, 50884, 50757, 50330, 52302, 52495, 50859, 50757, 50330, 54381, 52706, 50859, 50757, 50330, 52968, 52495, 50879, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51336, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50879, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 52495, 50879, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 53022, 50859, 50757, 50330, 52884, 52495, 50879, 50757, 50330, 54871, 50757, 50330, 50811, 50799, 52706, 51294, 52016, 52392, 51821, 52392, 51701, 51655, 51612, 51013, 50757, 50330, 52220, 78006, 50757, 50330, 52302, 50757, 50330, 54381, 50757, 50330, 52968, 52075, 51073, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 50757, 50330, 54496, 50757, 50330, 52952, 52037, 51013, 50757, 50330, 55092, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 52792, 51013, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 50757, 50330, 54871, 50757, 50330, 50811, 50799, 54064, 51472, 52016, 51336, 51678, 51655, 52290, 51336, 51098, 61025, 51073, 52574, 51367, 50879, 51039, 54818, 52239, 50879, 50903, 54047, 51388, 50432, 52248, 52189, 55486, 52681, 61025, 59646, 52606, 51336, 52072, 51336, 51930, 74120, 57681, 50903, 50884, 52129, 50879, 77653, 50887, 51955, 53988, 68458, 52681, 50884, 51930, 55433, 52681, 50952, 51930, 51158, 50799, 52681, 50952, 54064, 51336, 52016, 51336, 51821, 51655, 51261, 66150, 68760, 53829, 52681, 52189, 57851, 52681, 71727, 51261, 51013, 50903, 54047, 51388, 50432, 52248, 60181, 55486, 50798, 59646, 52233, 51336, 51701, 51336, 51140, 76909, 57681, 50903, 53806, 52681, 63388, 50879, 77653, 55268, 52248, 65465, 53988, 57241, 52248, 50879, 50799, 52239, 51896, 54064, 54300, 52606, 51655, 51678, 51655, 51678, 51655, 51930, 61025, 68760, 59912, 50887, 51768, 54047, 51388, 51361, 55486 ]
[ 0, 250, 765, 15855, 37903, 4246, 10, 13305, 6, 31391, 1672, 9590, 6, 8, 38668, 11212, 6, 2351, 10, 2635, 6, 2933, 6, 8, 5679, 26709, 5466, 10686, 13, 822, 4, 20, 2125, 16, 11, 230, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 12447, 1001, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50449, 52584, 50860, 60160, 54554, 53369, 50860, 51515, 62183, 52993, 50823, 57788, 70937, 52769, 50860, 51434, 58691, 54144, 56250, 52806, 50860, 59480, 60271, 51440, 66426, 55298, 50811, 51094, 50314, 55534, 52557, 50817, 51773, 58860, 50740, 50285, 52057, 50740, 50285, 57795, 52769, 50802, 51434, 53798, 52993, 50860, 57788, 62183, 54144, 50860, 59480, 67897, 52806, 50860, 51440, 65836, 57058, 50860, 64538, 61046, 52745, 50860, 51808, 66426, 55301, 50811, 66629, 50811, 51607, 50811, 61592, 58099, 50740, 50288, 57784, 50740, 50288, 57795, 52769, 50860, 51434, 50823, 52993, 50802, 57788, 62183, 52806, 50802, 51440, 50802, 54144, 50802, 59480, 58691, 64538, 50802, 57058, 61046, 52745, 50860, 51808, 66426, 55301, 50811, 61592, 50811, 66629, 50811, 51607, 58099, 52993, 50860, 57788, 53537, 52769, 50860, 51434, 71355, 54144, 50802, 59480, 60280, 52806, 71692, 51440, 52030, 64538, 65174, 57058, 62751, 51808, 50860, 52745, 74089, 61592, 57784, 55301, 52952, 51774, 50811, 51607, 57795, 51515, 50860, 52584, 50860, 60160, 54554, 53369, 62183, 52769, 50860, 51434, 50976, 57788, 50802, 52993, 65836, 54144, 50802, 59480, 61046, 52806, 50860, 51440, 66426, 61615, 50811, 76759, 50811, 51773, 50811, 55298, 52630, 57697, 57880, 57697, 57795, 53369, 50860, 52584, 50823, 60160, 53798, 51515, 72477, 52993, 50860, 57788, 55680, 52769, 70937, 51434, 55273, 54144, 50860, 59480, 58691, 52806, 61046, 51440, 78423, 55298, 56771, 61615, 50823, 76759, 58197, 51773, 59236, 51614, 50803, 57435, 50803, 59212, 63541, 51669, 58099, 60160, 54675, 53369, 50823, 51515, 50823, 52584, 60280, 52769, 50860, 57788, 50802, 52993, 66605, 51434, 65174, 59480, 59898, 52806, 50860, 51440, 50860, 54144, 66519, 61615, 50803, 55298, 52057, 52557, 50803, 51773, 57276, 51614, 50823, 57435, 50823, 59212, 56695, 51669, 63816, 60160, 50823, 52584, 53798, 51515, 66054, 53369, 71524, 52993, 50860, 57788, 67897, 52769, 50860, 51434, 58691, 54144, 50860, 59480, 60271, 52806, 50860, 51440, 66426, 55298, 50811, 61615, 50811, 51601, 52557, 50811, 51773, 58860, 67314, 52952, 67314, 57795, 52769, 50860, 51434, 54554, 52993, 50860, 57788, 72477, 52806, 62183, 51440, 50860, 54144, 70937, 59480, 65836, 52745, 50860, 51808, 50860, 57058, 50860, 64538, 66426, 51774, 50811, 51607, 50811, 55301, 50811, 61592, 50811, 60212, 56035, 78422, 56035, 57891, 52993, 54554, 51434, 50823, 52769, 50823, 57788, 62183, 54144, 70937, 52806, 50860, 51440, 50802, 59480, 65836, 57058, 56575, 52745, 50860, 51808, 50860, 64538, 50860, 66629, 50811, 51607, 50803, 55301, 50811, 61592, 58099, 52993, 50860, 57788, 53537, 52769, 50860, 51434, 71355, 59480, 55396, 54144, 66605, 52806, 50860, 51440, 50976, 50433, 57058, 50860, 64538, 62751, 51808, 50802, 52745, 66519, 55301, 50811, 61592, 52952, 51774, 50811, 51607, 59788, 52584, 67976, 53369, 50860, 60160, 54554, 51515, 62183, 52769, 50860, 51434, 50802, 52993, 50823, 57788, 50976, 54144, 52884, 54144, 65836, 59480, 61046, 52806, 50823, 51440, 62181, 51773, 50803, 52557, 50811, 55298, 50811, 61615, 50811, 60212, 50740, 50288, 57880, 50740, 50288, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 33928, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 20535, 2810, 6, 23338, 33518, 1264, 6, 3459, 8669, 6, 8, 326, 5638, 18026, 4, 20, 33301, 7630, 6568, 10, 12298, 1619, 4780, 6, 20307, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 230, 6, 272, 406, 6, 230, 406, 6, 274, 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 ]	[ 57333, 56020, 51683, 50810, 51898, 51973, 51648, 50802, 51723, 62751, 51683, 50803, 51898, 52057, 51273, 51745, 51322, 51362, 51547, 51362, 51229, 51362, 51334, 51362, 52099, 50802, 51431, 50860, 68041, 60635, 52099, 50803, 51431, 52116, 51648, 50802, 51723, 61046, 51683, 50803, 51898, 50803, 53458, 51483, 51322, 50940, 51256, 50940, 51209, 50940, 51408, 50940, 51906, 50802, 52039, 53236, 52995, 58235, 51906, 50803, 52334, 51973, 51098, 51483, 51322, 50940, 51256, 50940, 51209, 50940, 51408, 50940, 51683, 50802, 52039, 57996, 60063, 51906, 50803, 52334, 52057, 51522, 51483, 51366, 50940, 51674, 50893, 51408, 50940, 51934, 50940, 52425, 50802, 52211, 53236, 52995, 57854, 51683, 50803, 52039, 52116, 51522, 51138, 51366, 50940, 51674, 50893, 51408, 50940, 51934, 50940, 51906, 50802, 52334, 57996, 60203, 51098, 51237, 51913, 51066, 53808, 50993, 71012, 50895, 76308, 50940, 51229, 50940, 51334, 75249, 51913, 50803, 51509, 51973, 51522, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51913, 50802, 51509, 57996, 57535, 52103, 50803, 51431, 52057, 51098, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 51913, 50802, 51509, 53236, 52995, 60635, 52103, 50803, 51431, 52116, 51705, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 51913, 50802, 51509, 53451, 50895, 57688, 50895, 57857, 50895, 53061, 50839, 55350, 61250, 50804, 53268, 50804, 57077, 50804, 57110, 51913, 50803, 51509, 51779, 50825, 52198, 50908, 55985, 50908, 56483, 51258, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51913, 50802, 51509, 50860, 58995, 51467, 52302, 76865, 53951, 50895, 53327, 52265, 52194, 51066, 51150, 51932, 51334, 51227, 52306, 51066, 52629, 51066, 53431, 52885, 52267, 52178, 50811, 51261, 51010, 51408, 50890, 52366, 50811, 52336, 52279, 53851, 52377, 50811, 51522, 51010, 51674, 50858, 52747, 50811, 52264, 52279, 52568, 51702, 50811, 51140, 51010, 51256, 50890, 72555, 51509, 52279, 54085, 51968, 50811, 51560, 51010, 51772, 50890, 70657, 51641, 52279, 52193, 51702, 50823, 51140, 51045, 51256, 50940, 51713, 50823, 51509, 52865, 50817, 56020, 51850, 51973, 51850, 62751, 51850, 52057, 52527, 63999, 51760, 50803, 52612, 53068, 51756, 53451, 60203, 51756, 51352, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53150, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 68067, 59871, 51702, 73473, 50803, 51431, 52952, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53409, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 50903, 51663, 60427, 51702, 73473, 50803, 51431, 54046, 50841, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 60480, 51850, 51973, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51850, 57996, 59871, 51850, 52229, 53116, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52527, 53236, 53864, 61312, 51760, 52229, 53083, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51756, 60894, 51663, 60427, 53037, 52229, 50841, 60200, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 52213, 53236, 53864, 60480, 51756, 51973, 51930, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 51760, 57996, 59871, 52527, 51352, 50856, 53116, 51389, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 58732, 53864, 61312, 51702, 73473, 50817, 51431, 52768, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 50903, 51663, 50884, 54820, 50841, 50799, 51702, 50811, 51261, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51913, 50817, 51431, 51520, 53864, 50884, 56400, 52870, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51850, 65900, 59871, 51992, 53925, 51793, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 52943, 54482, 53864, 61312, 52943, 53798, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51992, 77297, 51663, 60427, 51850, 54286, 50841, 54204, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51760, 54482, 53864, 60480, 51850, 53537, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51992, 65900, 59871, 52943, 73018, 51793, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 58732, 53864, 61312, 51702, 50817, 51913, 50817, 51431, 52768, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 50903, 51663, 50884, 54820, 50841, 50799, 51702, 50803, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51913, 50803, 51431, 51520, 53864, 60480, 51850, 53537, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51850, 65900, 59871, 51850, 54286, 53116, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52527, 54482, 53864, 61312, 51760, 54286, 53083, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51756, 77297, 51663, 60427, 51756, 51184, 50856, 50841, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53150, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 68067, 59871, 51702, 50817, 51913, 50811, 51431, 54046, 53116, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53409, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 50903, 51663, 60427, 51702, 50817, 51913, 50811, 51431, 54046, 50841, 53788, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51334, 58732, 53864, 60480, 51756, 54286, 52870, 51150, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51334, 50940, 51760, 65900, 59871, 51756, 53925, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 52527, 54482, 53864, 61312, 51760, 53798, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 51756, 77297, 51663, 60427, 52280, 55415, 50841, 54204, 51483, 51256, 50940, 51408, 50940, 51390, 58732, 53864, 60480, 52280, 53537, 51261, 51483, 51256, 50940, 51408, 50940, 51390, 50940, 51756, 65900, 59871, 52280, 53925, 51150, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51934, 50940, 52840, 54482, 53864, 61312, 51756, 53798, 51150, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51934, 50940, 52280, 77297, 51663, 60427, 52213, 55415, 50841, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 60480, 52213, 53537, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52280, 65900, 59871, 52721, 54286, 53116, 51461, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 51756, 54482, 53864, 61312, 51756, 54286, 53083, 51461, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 53037, 77297, 51663, 61160, 50856, 58323, 52387, 62181, 50798, 53864, 50884, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52861, 58583, 52995, 52992, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 56956, 52995, 54292, 52194, 50860, 51461, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51334, 50940, 51713, 50860, 51898, 50860, 52067, 53236, 53966, 53498, 57854, 52148, 50803, 51683, 50803, 53808, 50803, 51744, 51779, 53068, 52377, 50860, 51461, 51138, 51366, 50858, 51209, 50858, 51408, 50858, 51334, 50858, 52310, 50860, 53709, 50860, 51641, 53451, 60203, 51702, 50803, 51140, 50950, 51256, 50895, 51229, 50895, 51334, 50895, 51390, 50895, 51913, 50803, 53689, 50803, 51485, 51520, 51463, 50817, 56020, 51850, 51973, 51850, 62751, 51850, 52057, 52527, 63999, 51760 ]
[ 0, 713, 14899, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 1575, 10, 20902, 3222, 5785, 9, 17605, 9590, 6, 32909, 6, 13305, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 24, 1931, 21683, 10, 15352, 30054, 8, 33558, 16464, 6, 1969, 13, 2365, 50, 3618, 9629, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 12989, 5204, 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 ]	[ 57739, 50796, 77631, 50862, 51660, 50862, 51944, 53630, 58888, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 51660, 50862, 51944, 53894, 52435, 50862, 51660, 50862, 51944, 53630, 53239, 52435, 50862, 51660, 50862, 51944, 53938, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 53563, 52435, 50862, 51660, 50862, 51944, 50862, 77631, 50862, 52027, 50862, 51944, 53630, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 52027, 50862, 51944, 53894, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 61587, 69144, 52768, 52435, 50862, 52027, 50862, 51944, 50862, 60927, 51359, 77247, 53563, 52435, 50862, 52027, 50862, 51944, 58738, 50820, 77631, 50862, 51660, 50862, 51944, 53630, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 51660, 50862, 51944, 53894, 52435, 50862, 51660, 50862, 51944, 53630, 53239, 52435, 50862, 51660, 50862, 51944, 53938, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 53563, 52435, 50862, 51660, 50862, 51944, 50854, 77631, 50862, 52027, 50862, 51944, 53630, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 52027, 50862, 51944, 53894, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 53533, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 54944, 60915, 70332, 69577, 52643, 52435, 50862, 52027, 50862, 51944, 58738, 51437, 50846, 51621, 57962, 69577, 51274, 77631, 50854, 51660, 50862, 51944, 53630, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 51660, 50862, 51944, 54181, 52435, 50862, 51660, 50862, 51944, 53590, 53239, 52435, 50862, 51660, 50862, 51944, 54276, 52435, 50862, 51660, 50862, 51944, 53590, 56289, 51041, 52193, 52435, 50862, 51660, 50862, 51944, 50854, 77631, 50862, 52027, 50862, 51944, 53630, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50854, 52027, 50862, 51944, 53630, 56289, 51041, 52265, 52435, 50862, 52027, 50862, 51944, 53894, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 51239, 52568, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 51041, 52193, 52435, 50862, 52027, 50862, 51944, 58738, 51437, 54359, 51068, 52465, 50846, 77631, 50854, 51660, 50862, 51944, 68524, 51449, 51350, 51151, 51659, 68835, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50854, 51660, 50862, 51944, 53590, 56289, 52975, 52435, 50854, 51660, 50862, 51944, 54181, 52435, 50862, 51660, 50862, 51944, 53590, 53239, 52435, 50862, 51660, 50862, 51944, 54276, 52435, 50862, 51660, 50862, 51944, 53590, 56289, 53563, 52435, 50862, 51660, 50862, 51944, 50854, 77631, 50862, 52027, 50862, 51944, 50862, 51659, 52335, 51729, 52335, 51513, 52335, 50798, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 52027, 50862, 51944, 54181, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 53533, 52435, 50862, 52027, 50862, 51944, 50862, 69577, 50993, 52314, 51030, 67580, 51030, 77247, 53563, 52435, 50862, 52027, 50862, 51944, 58738, 50820, 77631, 50862, 51660, 50862, 51944, 50862, 65141, 51653, 55160, 51653, 51729, 52069, 51350, 51307, 51659, 51313, 53752, 58888, 53336, 52435, 50862, 51660, 50862, 51944, 50862, 55239, 52435, 50862, 51660, 50862, 51944, 50862, 53797, 51227, 54289, 51227, 52243, 51502, 53479, 54724, 51239, 52927, 52435, 50862, 51660, 50862, 51944, 50862, 57974, 52435, 50862, 51660, 50862, 51944, 50862, 55393, 51235, 57953, 51235, 53752, 53239, 52435, 50862, 51660, 50862, 51944, 50862, 67115, 55022, 51160, 59254, 67424, 52435, 50862, 51660, 50862, 51944, 53630, 61295, 53479, 54724, 51239, 53173, 52435, 50862, 51660, 50862, 51944, 50862, 51468, 77631, 50862, 52027, 50862, 51944, 50862, 65141, 50882, 55160, 50882, 51729, 51749, 51513, 51448, 51659, 51535, 53752, 53576, 52435, 50862, 52027, 50862, 51944, 50862, 65141, 50821, 55160, 50821, 55239, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50821, 54289, 52589, 61295, 53479, 54724, 51239, 52927, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50809, 54289, 51421, 53439, 55393, 50921, 57953, 56360, 52435, 50862, 52027, 50862, 51944, 53630, 51239, 55201, 51513, 50836, 51659, 50841, 51355, 52510, 52435, 50862, 52027, 50862, 51944, 50862, 51513, 50855, 51659, 50836, 51355, 60561, 51239, 53528, 51513, 50837, 51659, 50820, 51355, 54094, 53533, 52435, 50862, 52027, 50862, 51944, 50862, 52314, 51021, 67580, 51138, 51513, 50886, 51659, 50813, 51355, 52923, 61295, 53479, 51041, 57150, 75461, 52920, 52435, 50862, 52027, 50862, 51944, 54597, 56289, 51239, 50825, 52198, 53934, 50820, 77631, 50862, 51660, 50862, 51944, 50862, 65141, 51653, 55160, 51653, 51729, 53142, 51350, 52222, 51659, 52062, 53752, 53576, 52435, 50862, 51660, 50862, 51944, 50862, 55239, 52435, 50862, 51660, 50862, 51944, 50862, 53797, 51227, 54289, 51227, 52243, 51502, 53479, 68732, 52927, 52435, 50862, 51660, 50862, 51944, 50862, 57974, 52435, 50862, 51660, 50862, 51944, 50862, 55393, 51235, 57953, 51235, 53752, 53239, 52435, 50862, 51660, 50862, 51944, 50862, 67115, 55022, 51160, 59254, 67424, 52435, 50862, 51660, 50862, 51944, 53630, 61295, 53479, 68732, 53173, 52435, 50862, 51660, 50862, 51944, 76583, 50958, 50820, 77631, 50862, 52027, 50862, 51944, 50862, 65141, 50882, 55160, 50882, 51729, 51677, 51513, 51422, 51659, 51422, 53752, 53576, 52435, 50862, 52027, 50862, 51944, 50862, 65141, 50821, 55160, 50821, 55239, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50821, 54289, 52589, 61295, 53479, 68732, 52927, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50809, 54289, 51421, 53439, 55393, 50921, 57953, 56360, 52435, 50862, 52027, 50862, 51944, 53630, 51239, 53239, 52435, 50862, 52027, 50862, 51944, 50862, 67115, 51068, 53711, 52435, 50862, 52027, 50862, 51944, 53630, 61295, 53479, 68732, 53173, 52435, 50862, 52027, 50862, 51944, 58738, 51041, 54778, 50891, 77631, 50854, 51660, 50862, 51944, 50862, 65141, 51653, 55160, 51653, 51729, 51939, 51350, 51486, 51659, 51592, 53752, 53576, 52435, 50862, 51660, 50862, 51944, 50862, 51744, 50855, 52314, 50809, 53147, 50836, 62446, 51744, 50862, 52314, 50836, 53147, 54156, 52435, 50862, 51660, 50862, 51944, 50862, 53797, 51227, 54289, 51227, 51744, 50839, 52314, 50813, 53147, 54200, 61295, 53479, 68732, 54660, 52314, 51111, 53147, 51060, 51744, 54259, 52435, 50862, 51660, 50862, 51944, 50854, 57974, 52435, 50862, 51660, 50862, 51944, 50854, 55393, 51235, 57953, 51235, 51744, 50836, 52314, 50887, 53147, 52259, 51239, 55201, 52314, 50855, 53147, 50855, 51744, 54840, 52435, 50862, 51660, 50862, 51944, 50854, 52314, 50855, 53147, 50855, 51744, 51437, 53528, 55022, 51160, 59254, 51160, 53147, 51290, 51744, 51048, 52314, 77225, 52435, 50862, 51660, 50862, 51944, 53590, 61295, 53479, 68732, 53173, 52435, 50862, 51660, 50862, 51944, 76583, 50958, 50820, 77631, 50862, 52027 ]
[ 0, 250, 19834, 15229, 19, 15855, 4785, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 10686, 13, 10, 1619, 822, 4, 27901, 41, 12547, 9, 2370, 21305, 6, 32909, 6, 38668, 20535, 6, 17691, 28430, 6, 8, 5921, 3343, 1290, 642, 5255, 6, 24, 11498, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2125, 25935, 1626, 227, 5, 40286, 9, 381, 8, 83, 6, 2351, 10, 1472, 9, 9066, 2821, 16235, 8, 32076, 814, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55763, 50802, 52061, 50802, 52324, 51004, 50415, 52324, 51004, 50416, 52324, 51004, 50417, 52324, 51004, 50418, 52324, 77940, 52324, 54303, 52334, 50811, 71555, 52324, 73768, 52324, 73435, 52211, 50823, 52264, 50823, 52324, 58362, 52324, 75730, 52324, 67726, 52324, 53356, 52211, 51009, 52264, 51009, 50713, 50288, 50802, 64011, 50802, 52324, 50982, 52650, 63726, 52324, 50982, 50428, 52324, 50982, 52890, 57860, 52324, 50982, 53267, 63341, 52324, 66775, 52324, 50982, 52566, 53860, 50713, 50288, 50811, 64011, 50811, 52324, 50982, 52697, 65312, 52324, 65627, 50713, 50288, 50823, 64011, 50823, 52324, 50928, 53260, 56579, 52324, 50928, 53000, 58853, 52324, 60622, 52324, 50928, 53039, 52781, 50713, 50288, 50824, 64011, 50824, 52324, 50928, 53436, 62255, 52324, 50928, 50440, 52324, 50928, 54428, 59397, 52324, 50928, 53647, 64781, 52324, 68211, 52324, 50928, 54723, 54465, 52324, 50928, 55802, 62426, 52324, 60966, 52324, 50908, 55372, 55761, 52324, 50908, 57545, 59787, 52324, 61244, 52324, 50908, 59202, 50809, 51034, 55763, 50802, 52061, 50802, 52324, 50908, 57545, 59980, 52324, 50908, 50416, 52324, 50908, 55372, 54745, 52324, 50908, 55802, 61292, 52324, 67945, 52324, 50908, 54723, 54402, 52334, 50811, 71555, 52324, 50891, 53647, 64355, 52324, 58640, 52211, 50823, 52264, 50823, 52324, 50891, 54428, 56076, 52324, 50891, 53436, 62782, 52324, 59509, 52324, 50891, 53039, 53901, 52211, 51009, 52264, 51009, 50713, 50288, 50802, 64011, 50802, 52324, 50891, 53000, 65450, 52324, 74031, 52324, 50891, 53260, 55863, 52324, 50891, 52697, 60155, 52324, 62000, 52324, 50870, 52566, 53705, 50713, 50288, 50811, 64011, 50811, 52324, 50870, 53267, 64938, 52324, 59516, 50713, 50288, 50823, 64011, 50823, 52324, 50870, 52890, 56030, 52324, 50870, 52650, 64042, 52324, 57892, 52324, 50870, 53118, 53945, 50713, 50288, 50824, 64011, 50824, 52324, 60470, 52324, 73052, 52324, 56432, 52324, 61118, 52324, 63938, 52324, 53325, 52324, 60479, 52324, 58394, 52324, 54673, 52324, 61333, 52324, 57989, 52324, 50863, 57333, 55763, 50802, 52061, 50802, 64552, 50824, 52324, 50863, 52650, 65707, 52324, 76965, 52324, 50863, 52890, 58671, 52324, 50863, 53267, 64305, 52324, 64159, 52324, 50837, 52566, 55105, 52334, 50811, 71555, 52324, 50837, 52697, 65643, 52324, 59136, 52211, 50823, 52264, 50823, 52324, 50837, 53260, 56133, 52324, 50837, 53000, 58304, 52324, 58964, 52324, 50837, 53039, 52524, 53709, 50823, 51641, 50823, 79588, 50824, 58353, 50824, 52324, 50837, 53436, 65450, 52324, 66518, 52324, 50837, 54428, 58511, 52324, 50825, 53647, 61218, 52334, 50823, 51509, 50823, 52324, 59277, 52324, 50825, 54723, 53695, 52324, 50825, 55802, 62089, 52324, 56446, 53437, 50823, 52314, 50823, 52324, 50825, 55372, 55782, 52324, 50825, 57545, 59079, 52324, 57514, 52324, 50825, 59202, 52444, 53437, 50823, 52314, 50823, 69490, 50824, 53367, 50824, 52324, 50825, 57545, 59360, 52324, 62969, 52324, 50835, 55372, 54790, 52324, 50835, 55802, 62438, 52211, 50823, 52264, 50823, 52324, 60862, 52324, 50835, 54723, 54465, 52324, 50835, 53647, 62426, 52324, 59279, 51898, 50823, 52067, 50823, 52324, 50835, 54428, 57012, 52324, 50835, 53436, 64457, 52324, 58145, 52324, 50835, 53039, 53938, 53437, 50802, 52314, 50802, 64552, 50824, 57246, 50824, 52324, 50835, 53000, 65780, 52324, 64314, 52324, 50829, 53260, 55726, 52324, 50829, 52697, 61192, 52324, 58677, 52324, 50829, 52566, 54199, 77696, 79121, 52324, 50829, 53267, 67321, 52324, 57059, 52061, 50823, 55078, 50823, 52324, 50829, 52890, 57490, 52324, 50829, 52650, 67205, 52324, 56172, 52324, 50829, 53118, 50864, 50799, 52211, 50802, 52264, 50802, 79588, 50824, 58353, 50824, 52324, 50834, 52650, 65707, 52324, 67553, 52324, 50834, 52890, 58671, 52324, 50834, 53267, 64305, 52324, 63222, 52324, 50834, 52566, 55105, 77696, 79121, 52324, 50834, 52697, 65643, 52324, 57240, 52298, 50823, 53147, 50823, 52324, 50834, 53260, 56133, 52324, 50834, 53000, 58304, 52324, 58405, 52324, 50834, 53039, 52524, 51723, 50823, 52336, 50823, 52324, 50820, 53436, 65450, 52324, 59551, 52324, 50820, 54428, 58511, 52324, 50820, 52324, 50820, 53647, 61218, 52298, 50823, 53147, 50823, 52324, 56657, 52324, 50820, 54723, 53695, 52324, 50820, 52324, 50820, 55802, 62089, 52324, 56565, 52061, 50823, 55078, 50823, 52324, 50820, 55372, 55782, 52324, 50820, 52324, 50820, 57545, 59079, 52324, 56305, 52324, 50839, 59202, 52444, 70166, 60928, 51009, 53774, 51009, 52324, 50839, 52324, 50839, 57545, 59360, 70166, 52324, 50839, 60409, 51004, 52324, 50839, 55372, 50809, 53012, 51004, 52324, 50839, 55802, 50840, 55258, 51004, 52324, 60371, 50804, 50982, 52324, 50839, 54723, 50836, 54141, 50982, 52324, 50839, 53647, 62426, 50804, 50982, 52324, 50839, 53526, 50928, 52324, 50839, 54428, 50855, 52612, 50928, 52324, 50839, 53436, 50855, 57471, 50908, 52324, 50841, 57048, 50908, 52324, 50841, 53039, 50862, 51382, 50891, 52324, 50841, 53000, 50862, 57688, 50870, 52324, 50841, 57857, 50870, 52324, 50841, 53260, 50813, 53061, 54839, 50863, 52324, 50841, 52697, 50857, 55350, 50837, 52324, 60233, 50804, 50825, 52324, 50841, 52566, 54199, 50804, 54518, 50829, 52324, 50841, 53267, 50867, 65694, 50834, 52324, 50841, 54124, 50820, 52324, 50841, 52890, 50867, 52198, 53966, 50841, 52324, 50828, 52650, 50886, 55985, 50846, 52324, 50828, 56483, 50818, 52324, 50828, 53118, 50864, 54458, 57184, 55560, 54285, 53497, 67256, 55456, 51907, 50387, 53692, 56851, 50817, 75462, 51359, 50720, 50301, 51243, 62655, 51353, 58267, 51359, 54219, 51204, 52355, 51318, 59326, 51191, 53437, 50802, 51898, 50802, 51485, 50802, 52324, 50840, 61240, 59013, 52314, 51973, 63875, 50915, 57713, 50822, 51485, 51029, 52314, 51029, 52067, 51029, 52324, 61799, 61404, 64160, 52355, 50810, 53101, 50854, 59326, 59983, 50721, 50286, 51003, 57713, 68727, 50800, 53101, 50873, 55871, 51110, 52324, 59137, 56333, 55758, 50721, 50282, 50943, 57713, 50822, 53101, 50915, 55871, 51121, 51898, 50803, 73383, 52314, 50803, 52324, 50840, 55350, 50907, 77605, 54124, 50822, 59326, 50812, 73383, 50799, 63875, 51056, 57713, 68727, 50800, 69420, 51183, 65049, 51091, 52285, 51047, 52515, 51047, 55871, 51189, 51898, 51407, 52061, 51407, 51744, 51407, 52324, 50840, 52650, 71768, 52890, 58671, 53267, 66182, 52566, 55105, 52697, 60342, 50720, 50305, 50851, 58267, 50827, 53260, 56133, 53000, 60567, 53039, 52524, 50721, 50284, 50914, 57713, 50822, 52324, 50840, 53436, 67691, 54428, 58511, 53647, 61218, 50720, 50305, 50864, 58267, 50857, 65049, 50830, 60388, 50942, 50431, 54723, 53695, 55802, 59890, 50720, 50305, 50886, 58267, 50827, 65049, 50808, 59454, 50854, 55372, 55782, 57545, 58291, 59202, 50809, 51658, 53497, 68727, 50800, 69420, 50981, 50720, 50305, 50915, 58267, 50943, 52285, 51003, 52515, 50915, 55871, 50914, 52324, 50840, 57545, 59360, 63875, 50914, 50440, 55372, 54790, 55802, 59503, 54723, 54465, 53647, 60520, 54428, 57012, 53436, 61230, 53039, 53938, 57713, 50822, 69420, 51003, 58048, 51003, 52285, 51003, 51950, 50915, 58563, 50914, 55763, 50802, 53808, 50802, 52039, 50802, 51898, 50802, 52324, 50840, 53000, 65780, 63875, 50914, 50452, 53260, 55726, 52697, 50857, 55350, 78877, 52566, 54199, 53267, 50867, 54124, 50822, 50720, 50305, 50808, 50720, 50301, 50844 ]
[ 0, 4688, 9066, 5175, 2214, 19, 3152, 16882, 6, 4246, 10, 3741, 27374, 594, 6, 6755, 12547, 6, 38668, 22052, 6, 81, 9756, 8669, 6, 8, 3459, 9590, 6, 70, 8216, 7, 63, 2933, 8, 20425, 5466, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 12608, 6, 274, 6, 163, 428, 6, 12608, 6, 8, 274, 1271, 7, 63, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50799, 52907, 52503, 51301, 52121, 51113, 51717, 51357, 51801, 50799, 52776, 52988, 50953, 51313, 51098, 51748, 50799, 53215, 55597, 51011, 55408, 51216, 58728, 50796, 50799, 52907, 52727, 50945, 51313, 51140, 51748, 51034, 52776, 54573, 50953, 51662, 51098, 52528, 50799, 51883, 55597, 76008, 52419, 59384, 53829, 56414, 51216, 53172, 58337, 51493, 57594, 52927, 60908, 51098, 54137, 51069, 50821, 52419, 53507, 54586, 66777, 52419, 53794, 62865, 51493, 55345, 70803, 51098, 50838, 53285, 50806, 52419, 57594, 53336, 68584, 51216, 55035, 70498, 51493, 67240, 54151, 58918, 51098, 54233, 51069, 50821, 52419, 53507, 55186, 71668, 52419, 55125, 58337, 51493, 55345, 65082, 51098, 50901, 50799, 51887, 51922, 76008, 52419, 59384, 53829, 56414, 51216, 53172, 58337, 51493, 57594, 54562, 60908, 51098, 54137, 51069, 50821, 52419, 53507, 54586, 66777, 52419, 53794, 62865, 51493, 55345, 70803, 51098, 50838, 78936, 51449, 66777, 52419, 57594, 56051, 68584, 51216, 55035, 70498, 51493, 67240, 52975, 58918, 51098, 54233, 51069, 50821, 52419, 53497, 52893, 50884, 53012, 55186, 71668, 52419, 56369, 50895, 52612, 55254, 58337, 51493, 53946, 54210, 65082, 51098, 56369, 51031, 50799, 51883, 52720, 76008, 52419, 50901, 61644, 56562, 53837, 56051, 56414, 51216, 50845, 56066, 60445, 58337, 51493, 50849, 58789, 57361, 51135, 53644, 60908, 51098, 50905, 56316, 50936, 70658, 51069, 50821, 52419, 50812, 61644, 55146, 51239, 53806, 66777, 52419, 50849, 61644, 51030, 61741, 62865, 51493, 50873, 58789, 55404, 54357, 53650, 70803, 51098, 50838, 56316, 50936, 53752, 50818, 53285, 50806, 52419, 50849, 61644, 50948, 53752, 54031, 68584, 51216, 50901, 56066, 55271, 53150, 70498, 51493, 50974, 58789, 56155, 51135, 52975, 58918, 51098, 50873, 56316, 51030, 63193, 51069, 50821, 52419, 50812, 61644, 55146, 51135, 53675, 71668, 52419, 50901, 61644, 54444, 52396, 58337, 51493, 50873, 58789, 56155, 54501, 54210, 65082, 51098, 50901, 56316, 56214, 50884, 53285, 50879, 52419, 50901, 61644, 55271, 52816, 54031, 56414, 51216, 50845, 56066, 54444, 52437, 58337, 51493, 50849, 58789, 56214, 53338, 54151, 60908, 51098, 50905, 56316, 55271, 52565, 51069, 50821, 52419, 50812, 61644, 53690, 51044, 53885, 66777, 52419, 50849, 61644, 54444, 52396, 62865, 51493, 50873, 58789, 56155, 53843, 54450, 70803, 51098, 50838, 56316, 51030, 52358, 50884, 53285, 50806, 52419, 50849, 61644, 50948, 52902, 52432, 68584, 51216, 50901, 56066, 55271, 52437, 70498, 51493, 50974, 58789, 55404, 51139, 52209, 58918, 51098, 50873, 56316, 50936, 63193, 51069, 50821, 52419, 50812, 61644, 52374, 54739, 53239, 71668, 52419, 50901, 61644, 55271, 53595, 58337, 51493, 50873, 58789, 57361, 54357, 53563, 65082, 51098, 50901, 56316, 54444, 50883, 50799, 51887, 51671, 51154, 51353, 51201, 51243, 51284, 51353, 71668, 52419, 50901, 52724, 51655, 52230, 51036, 56549, 51036, 54470, 51655, 61644, 50948, 51206, 54162, 50895, 52103, 51307, 51913, 63560, 70994, 51216, 50901, 56066, 58292, 62865, 51493, 50901, 58789, 56214, 53338, 52975, 64483, 51098, 50901, 56316, 50936, 70658, 51069, 50858, 52419, 50854, 61644, 53690, 51135, 53806, 71668, 52419, 50901, 61644, 50936, 61741, 62865, 51493, 50901, 58789, 55404, 54501, 54210, 64483, 51098, 50901, 56316, 51030, 53752, 50818, 78936, 51449, 51088, 51353, 51182, 51313, 51558, 51151, 71668, 52419, 50901, 60565, 51036, 52118, 51264, 52508, 51264, 53874, 51655, 61644, 51030, 51335, 54906, 50884, 51963, 51359, 52310, 63560, 70994, 51216, 50901, 56066, 56832, 53150, 62865, 51493, 50901, 58789, 54444, 53479, 54151, 64483, 51098, 50901, 56316, 50948, 63193, 51384, 51080, 51069, 50858, 52419, 50854, 61644, 51864, 54162, 52210, 71668, 52419, 50901, 61644, 56832, 52396, 62865, 51493, 50901, 58789, 56155, 52942, 54210, 64483, 51098, 50901, 56316, 56832, 50884, 50799, 51883, 52720, 51113, 52122, 51304, 51801, 51733, 52121, 71668, 52419, 50901, 53854, 52024, 56024, 53002, 52760, 51492, 52345, 52024, 61644, 51021, 51206, 55130, 50884, 51913, 51307, 51683, 52024, 50420, 70994, 51216, 50901, 56066, 56214, 52437, 62865, 51493, 50901, 58789, 51021, 55737, 53644, 64483, 51098, 50901, 56316, 54444, 52565, 51069, 50858, 52419, 50854, 61644, 55146, 51044, 53885, 71668, 52419, 50901, 61644, 56832, 52396, 51107, 50995, 62865, 51493, 50901, 58789, 55404, 54357, 54210, 64483, 51098, 50901, 56316, 50936, 76935, 50895, 73296, 52122, 71668, 52419, 50901, 61644, 50948, 53752, 52432, 70994, 51216, 50901, 56066, 55271, 52437, 62865, 51493, 50901, 58789, 56832, 52572, 54562, 64483, 51098, 50901, 56316, 51030, 63193, 51069, 50858, 52419, 50854, 61644, 55146, 51135, 53806, 71668, 52419, 50901, 61644, 54444, 53595, 62865, 51493, 50901, 58789, 67451, 53479, 55891, 64483, 51098, 50901, 56316, 56214, 50883, 50799, 51887, 51922, 51154, 51313, 51201, 51151, 51284, 51353, 71668, 52419, 50901, 54470, 51307, 52230, 51264, 56549, 51655, 52724, 51036, 61644, 51021, 51335, 54162, 50846, 52103, 51036, 51913, 74258, 70994, 51216, 50901, 56066, 57327, 62865, 51493, 50901, 58789, 56155, 51139, 53644, 64483, 51098, 50901, 56316, 51030, 70658, 51069, 50858, 57849, 51129, 52419, 50854, 61644, 51864, 54739, 53806, 71668, 57849, 51129, 52419, 50901, 61644, 50936, 52093, 50448, 57849, 55038, 62865, 51493, 50901, 58789, 71541, 53479, 56246, 57849, 56077, 64483, 51098, 50901, 56316, 50936, 52620, 56637, 57849, 51129, 63441, 51293, 51182, 51151, 51558, 51353, 51699, 51243, 71668, 52419, 50901, 53874, 51264, 60565, 51264, 52508, 51696, 52118, 51264, 61644, 50948, 51206, 54162, 50846, 51963, 51359, 52310, 63560, 70994, 51216, 50901, 56066, 54444, 53150, 62865, 51493, 50901, 58789, 56832, 53479, 53644, 64483, 51098, 50901, 56316, 51030, 52112, 50434, 57849, 55379, 51384, 51047, 51069, 50858, 57849, 51129, 52419, 50854, 61644, 55146, 51187, 61194, 57849, 57536, 71668, 52419, 50901, 61644, 54444, 52396, 62865, 51493, 50901, 58789, 50948, 64084, 54944, 57849, 56077, 64483, 51098, 50901, 56316, 55271, 60427, 57849, 51129, 64554, 52121, 51304, 52337, 51733, 52121, 51883, 52829, 71668, 52419, 50901, 53854, 54454, 52345, 54454, 56024, 51264, 52760, 53363, 61644, 50948, 52243, 51865, 50961, 51913, 51492, 51683, 52250, 50420, 70994, 51216, 50901, 56066, 56832, 52437, 62865, 51493, 50901, 58789, 50936, 54074, 53644, 64483, 51098, 50901, 56316, 56214, 52565, 51069, 50858, 52419, 50854, 61644, 53662, 51187, 53885, 71668, 52419, 50901, 61644, 54444, 52396, 62865, 51493, 50901, 58789, 51138, 64084, 54450, 64483, 51098, 50901, 56316, 51030, 53752, 50884, 56483, 50949, 53285, 50893, 50713, 50349, 50936, 72963, 50948, 52419, 50901, 56024, 50938, 61644, 56780, 51139, 52432, 70994, 50713, 50349, 50936, 72963, 50936, 51216, 50901, 53854, 50865, 56066, 50936, 52358, 52437, 62865, 50713, 50344, 50936, 63548, 50936, 51493, 50901, 56165, 50840, 58789, 56832, 52816, 59476, 50804, 55649, 64483, 67499, 50948, 50713, 50347, 50936, 51098, 50901, 53874, 50938, 56316, 50948, 72711, 53294, 51069, 50858, 72963, 50948, 50713, 50349, 50936, 52419, 50854, 56024, 50924, 61644, 54451, 51239, 53806, 71668, 50713, 50349, 50936, 72963, 50936, 52419, 50901, 56024, 50865, 61644, 51021, 52358, 53595, 62865, 50713, 50344, 51016, 63548, 51016, 51493, 50901, 56165, 50924, 58789, 50948, 64084 ]
[ 0, 713, 15352, 30054, 5175, 2214, 11, 163, 538, 1575, 10, 38668, 483, 6, 1076, 560, 31365, 25999, 6, 32909, 6, 3459, 8669, 6, 8, 36075, 8669, 6, 2351, 10, 1372, 8, 20425, 5466, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 1814, 13410, 228, 2289, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 163, 401, 6, 230, 10431, 6, 274, 10431, 6, 8, 163, 4, 20, 2365, 8, 33558, 23338, 293, 146, 24, 10686, 13, 1337, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50796, 53012, 52284, 50804, 52911, 50801, 64978, 52163, 50804, 50803, 52198, 50803, 50799, 69423, 62625, 51052, 63301, 50763, 50349, 58387, 69423, 57328, 62791, 50763, 50349, 57328, 58844, 69423, 68001, 51052, 65472, 69423, 57378, 50763, 50349, 57328, 59037, 69423, 57328, 61929, 69423, 62625, 51052, 60887, 69423, 62232, 50763, 50349, 57328, 58068, 69423, 57328, 59038, 69423, 68001, 51052, 59835, 69423, 60272, 50763, 50349, 51128, 53673, 50459, 69423, 57328, 51123, 50799, 69423, 62625, 51052, 62227, 50763, 50349, 62625, 52244, 69423, 51128, 53673, 50423, 50763, 50349, 57328, 57252, 69423, 68001, 51052, 58519, 69423, 57378, 50763, 50349, 51128, 53673, 50435, 69423, 57328, 58604, 69423, 62625, 51052, 55608, 69423, 62232, 50763, 50349, 62625, 51052, 60979, 69423, 51128, 53673, 50450, 69423, 68001, 51052, 55371, 69423, 60272, 50763, 50349, 57328, 58247, 69423, 57328, 51123, 53400, 50811, 69423, 62625, 51052, 62227, 64048, 50763, 50349, 58387, 64048, 51849, 50829, 51854, 50857, 52294, 50867, 54674, 50829, 55320, 50857, 50679, 50332, 50867, 69423, 57328, 57079, 50763, 50349, 57328, 57252, 69423, 68001, 51052, 56739, 69423, 57378, 64343, 51849, 50834, 51854, 50820, 52294, 50835, 55320, 50820, 54674, 50834, 50679, 50332, 50835, 50763, 50349, 57328, 59037, 62792, 69423, 57328, 51123, 56903, 50811, 69423, 62625, 51052, 60887, 69423, 62232, 64048, 51529, 50820, 51854, 50820, 53289, 50841, 55320, 50820, 53990, 50820, 62732, 50841, 50763, 50349, 57328, 58068, 69423, 57328, 59038, 61149, 69423, 68001, 51052, 56936, 69423, 60272, 64048, 51529, 50820, 51854, 50820, 53289, 50820, 53990, 50820, 55320, 50820, 62732, 50820, 50763, 50349, 57328, 58247, 69423, 51128, 53673, 53400, 50811, 69423, 62625, 51052, 59010, 64048, 50763, 50349, 62625, 52244, 64048, 51288, 75394, 50857, 52529, 65513, 50857, 63351, 50813, 54010, 50820, 69423, 57328, 56779, 50763, 50349, 51128, 53673, 50426, 69423, 68001, 51052, 58519, 69423, 57378, 62792, 51219, 50829, 51288, 50820, 52529, 50820, 54010, 50820, 63351, 50820, 52395, 50829, 50763, 50349, 51128, 53673, 50435, 67211, 69423, 57328, 51269, 56903, 50803, 69423, 62625, 51052, 55608, 69423, 62232, 74599, 51219, 50820, 51849, 50820, 52529, 50820, 54674, 50820, 52395, 50820, 63351, 50820, 50763, 50349, 62625, 51052, 65932, 69423, 51128, 53673, 50450, 58461, 69423, 68001, 51052, 56936, 69423, 60272, 51219, 50839, 51849, 50855, 52529, 50855, 54674, 50855, 63351, 50855, 52395, 50839, 50763, 50349, 68001, 51052, 62065, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54742, 51052, 51269, 53400, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 63301, 64048, 50763, 50349, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54657, 64048, 51849, 50829, 51854, 50857, 52294, 50867, 54674, 50829, 55320, 50857, 50679, 50332, 50867, 69423, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 62791, 50763, 50349, 57328, 58844, 69423, 68001, 51052, 65472, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53705, 64343, 51849, 50834, 51854, 50820, 52294, 50835, 55320, 50820, 54674, 50834, 50679, 50332, 50835, 50763, 50349, 57328, 59037, 62792, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51269, 56903, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 60887, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54305, 64048, 51529, 50820, 51854, 50820, 53289, 50841, 55320, 50820, 53990, 50820, 62732, 50841, 50763, 50349, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 58068, 69423, 57328, 59038, 61149, 69423, 68001, 51052, 59835, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54199, 64048, 51529, 50820, 51854, 50820, 53289, 50820, 53990, 50820, 55320, 50820, 62732, 50820, 50763, 50349, 51128, 53673, 50459, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51123, 53400, 50811, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54355, 51052, 62227, 64048, 50763, 50349, 62625, 52244, 64048, 51288, 75394, 50857, 52529, 65513, 50857, 63351, 50813, 54010, 50820, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53111, 56237, 50763, 50349, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 53111, 57252, 69423, 68001, 51052, 58519, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53705, 62792, 51219, 50829, 51288, 50820, 52529, 50820, 54010, 50820, 63351, 50820, 52395, 50829, 50763, 50349, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 53111, 56857, 67211, 69423, 57328, 51123, 56903, 50803, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 54355, 51052, 55608, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54305, 74599, 51219, 50820, 51849, 50820, 52529, 50820, 54674, 50820, 52395, 50820, 63351, 50820, 50763, 50349, 62625, 51052, 60979, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53111, 54626, 58461, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54742, 51052, 55371, 69423, 51128, 52760, 75095, 50857, 52075, 50857, 52792, 54199, 51219, 50839, 51849, 50855, 52529, 50855, 54674, 50855, 63351, 50855, 52395, 50839, 50763, 50349, 51128, 55424, 50857, 52760, 50857, 53232, 50857, 51902, 50857, 52075, 50857, 53811, 53111, 58247, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51123, 53400, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 62227, 64048, 50763, 50349, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54657, 64048, 51849, 50829, 51854, 50857, 52294, 50867, 54674, 50829, 55320, 50857, 50679, 50332, 50867, 69423, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 57079, 50763, 50349, 57328, 57252, 69423, 68001, 51052, 56739, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53705, 64343, 51849, 50834, 51854, 50820, 52294, 50835, 55320, 50820, 54674, 50834, 50679, 50332, 50835, 50763, 50349, 57328, 59037, 62792, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51123, 56903, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 60887, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54305, 64048, 51529, 50820, 51854, 50820, 53289, 50841, 55320, 50820, 53990, 50820, 62732, 50841, 50763, 50349, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 58068, 69423, 57328, 59038, 61149, 69423, 68001, 51052, 56936, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54199, 64048, 51529, 50820, 51854, 50820, 53289, 50820, 53990, 50820, 55320, 50820, 62732, 50820, 50763, 50349, 57328, 58247, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 50907, 53400, 50811, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54355, 51052, 59010, 64048, 50763, 50349, 62625, 52244, 64048, 51288, 75394, 50857, 52529, 65513, 50857, 63351, 50813, 54010, 50820, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53111, 56779, 50763 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 278, 11, 10, 231, 73, 306, 86, 6543, 8, 10, 7212, 20889, 4, 20, 13305, 3315, 5, 169, 6, 2351, 10, 25306, 5466, 19, 17878, 9, 15073, 4, 20, 2125, 29769, 198, 5, 762, 9, 163, 428, 3694, 6, 4246, 10, 33215, 16739, 9, 274, 10431, 119, 1176, 406, 6, 274, 119, 406, 6, 274, 10431, 6, 274, 119, 6, 8, 163, 43531, 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 ]	[ 54838, 50630, 51561, 51277, 51435, 53233, 50420, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 70856, 51144, 66809, 51494, 66983, 51777, 51277, 50462, 51561, 51277, 50468, 51144, 51277, 50474, 51494, 51277, 51639, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 51435, 52140, 50420, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 70856, 51144, 66809, 51494, 51277, 52070, 56109, 51777, 51277, 50462, 51561, 51277, 52381, 50932, 50468, 51144, 51277, 50474, 51494, 51277, 52070, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 51435, 77870, 51144, 51277, 51639, 64570, 51494, 51277, 51435, 64809, 51777, 70351, 51561, 51277, 52709, 51753, 57473, 56391, 51144, 51277, 54513, 51753, 55374, 54323, 51494, 51328, 52709, 51481, 57473, 54509, 51777, 51328, 54513, 51481, 55374, 50892, 50462, 51561, 51242, 52709, 51277, 57473, 50892, 50468, 51144, 51242, 54513, 51277, 55374, 50845, 50474, 51494, 51212, 52709, 51328, 57473, 50845, 50480, 51777, 50978, 54513, 51006, 55374, 50845, 54838, 51561, 51101, 52709, 51242, 57473, 57437, 51144, 51177, 54513, 51212, 55374, 53890, 51494, 51177, 52709, 51212, 57473, 54259, 51777, 51177, 54513, 51242, 55374, 54233, 51561, 51101, 52709, 51242, 57473, 55945, 51144, 51101, 54513, 51328, 55374, 55125, 51494, 51212, 52709, 51328, 57473, 53586, 51777, 51242, 54513, 51277, 55374, 50845, 50462, 51561, 51242, 52709, 51277, 57473, 50892, 50468, 51144, 51328, 54513, 51481, 55374, 50892, 50474, 51494, 51328, 52709, 51481, 57473, 50905, 50480, 51777, 51174, 54513, 51376, 55374, 50838, 54838, 51561, 51277, 51435, 51939, 50420, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 70856, 51144, 66809, 51494, 51277, 51639, 56109, 51777, 51277, 50462, 51561, 51277, 51435, 50932, 50468, 51144, 51277, 50474, 51494, 51277, 52070, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 52381, 57410, 51144, 64570, 51494, 51277, 51948, 55665, 51777, 70351, 51561, 51277, 52929, 52140, 50444, 51144, 66809, 51494, 66983, 51777, 51277, 50462, 51561, 51277, 50468, 51144, 51277, 50474, 51494, 51277, 51837, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 51948, 77870, 51144, 51277, 52381, 64570, 51494, 51277, 51948, 51709, 50432, 51777, 70351, 51561, 51277, 52709, 51753, 57473, 56391, 51144, 51277, 54513, 51753, 55374, 54323, 51494, 51328, 52709, 51481, 57473, 54509, 51777, 51328, 54513, 51481, 55374, 50892, 50462, 51561, 51242, 52709, 51277, 57473, 50892, 50468, 51144, 51242, 54513, 51277, 55374, 50845, 50474, 51494, 51212, 52709, 51328, 57473, 50845, 50480, 51777, 50978, 54513, 51006, 55374, 50845, 54838, 51561, 51101, 52709, 51242, 57473, 55689, 51144, 51177, 54513, 51212, 55374, 53890, 51494, 51177, 52709, 51212, 57473, 54259, 51777, 51101, 54513, 51242, 55374, 54233, 51561, 51212, 52709, 51328, 57473, 55945, 51144, 51242, 54513, 51277, 55374, 53562, 50630, 51494, 51328, 52709, 51481, 57473, 50892, 50455, 50630, 50456, 51777, 51277, 54513, 51376, 55374, 56517, 50629, 50462, 51561, 51277, 51948, 51277, 50464, 50629, 50468, 51144, 51277, 52381, 51277, 50469, 50629, 50474, 50629, 51494, 51277, 52070, 51277, 50478, 50629, 50480, 51777, 51174, 51435, 51277, 50483, 50629, 54838, 50630, 51512, 51277, 51639, 77870, 51308, 51277, 51777, 64570, 51429, 51277, 51639, 51709, 50432, 52070, 70351, 51512, 51277, 52070, 51753, 51948, 56391, 51308, 51277, 52381, 51753, 52461, 54323, 51429, 51328, 52070, 51481, 51948, 54509, 52070, 51328, 52461, 51328, 50462, 51512, 51242, 52070, 51277, 51948, 50845, 50468, 51308, 51242, 52381, 51328, 52461, 50845, 50474, 51429, 51212, 52070, 51328, 51948, 50901, 50480, 52070, 50978, 52461, 50987, 54838, 51512, 51101, 51948, 51212, 52929, 55689, 51308, 51177, 52461, 51212, 53629, 53466, 51429, 51177, 51948, 51212, 52929, 53308, 51435, 51101, 52461, 51212, 53629, 54233, 51512, 51212, 51948, 51328, 52929, 55945, 51308, 51242, 52461, 51277, 53629, 53562, 51429, 51328, 51948, 51481, 52929, 54771, 51435, 51277, 52461, 51376, 53629, 50838, 50462, 51512, 51277, 51777, 50932, 50468, 51308, 51277, 50474, 51429, 51277, 51435, 51199, 50480, 51435, 51481, 54838, 51512, 51277, 52070, 77870, 51308, 51277, 51435, 64570, 51429, 51277, 52070, 51709, 50432, 52070, 70351, 51512, 51277, 51435, 51753, 52381, 56391, 51308, 51277, 52070, 51753, 51948, 54323, 51429, 51328, 51435, 51481, 52381, 54509, 52070, 51242, 51948, 51242, 50462, 51512, 51242, 51435, 51277, 52381, 50845, 50468, 51308, 51212, 52070, 51328, 51948, 50901, 50474, 51429, 51101, 51435, 51242, 52381, 50901, 50480, 52070, 50987, 51948, 50987, 54838, 51512, 51177, 52381, 51518, 50420, 51308, 67175, 51429, 68181, 51435, 75120, 51512, 51328, 50444, 51308, 78271, 51429, 51277, 52929, 56109, 51435, 51277, 50462, 51512, 51277, 52929, 50932, 50468, 51308, 51277, 50474, 51429, 51277, 53629, 50932, 50480, 51435, 51174, 54838, 51232, 51277, 53629, 52140, 50420, 51494, 64570, 51512, 66013, 51639, 70351, 51232, 70856, 51494, 66809, 51512, 51277, 52929, 56109, 51777, 51277, 50462, 51232, 51277, 52461, 50932, 50468, 51494, 51277, 50474, 51512, 51277, 52929, 50932, 50480, 51429, 50972, 54838, 52040, 51277, 51948, 75192, 51847, 64570, 51561, 66013, 51308, 64025, 52040, 70856, 51847, 66809, 51561, 51277, 52070, 56109, 51308, 51277, 50462, 51706, 51277, 52381, 50932, 50468, 51847, 51277, 50474, 51144, 50932, 51435, 51277, 50480, 51308, 51174, 54838, 52477, 51277, 51639, 52140, 50420, 51706, 64570, 52040, 66013, 51494, 70351, 51512, 70856, 51308, 66809, 50630, 51429, 51277, 51639, 50932, 50455, 50629, 50456, 52070, 51277, 50459, 50629, 50462, 51706, 51277, 51435, 50932, 50464, 50629, 50468, 51847, 51277, 50469, 50629, 50474, 50629, 51144, 51277, 51777, 50932, 50478, 50629, 50480, 51308, 51174, 50483, 50629, 54838, 51561, 51277, 51639, 51277, 50417, 50630, 50420, 51144, 51277, 51435, 64570, 51494, 51277, 51639, 51709, 50432, 51777, 70351, 51561, 51277, 52070, 51753, 51948, 56391, 51144, 51277, 52381, 51753, 52461, 54323, 51494, 51328, 52070, 51481, 51948, 54509, 51777, 51328, 52381, 51481, 52461, 50892, 50462, 51429, 51328, 51948, 51277, 52929, 50892, 50468, 51512, 51242, 52461, 51277, 53629, 50845, 50474, 51308, 51242, 51948, 51277, 52929, 50845, 50480, 51144, 50978, 52381, 51006, 52461, 50892, 54838, 51561, 51212, 52070, 51328, 51948, 57437, 51144, 51101, 52381, 51242, 52461, 55035, 51494, 51101, 52070, 51242, 51948, 54259, 51777, 51177, 51435, 51212, 52381, 54233, 51561, 51177, 51639, 51212, 52070, 53969, 51144, 51101, 51435, 51242, 52381, 54230, 51494, 51101, 51639, 51328, 52070, 55670, 51777, 51212, 51435, 51242, 50462, 51429, 51242, 51639, 51328, 50468, 51512, 51242, 51777, 51753, 51435, 50905, 50474, 51308, 51328, 51639, 51884, 52070, 50974, 50480, 51435, 51174, 52381, 51376, 54838, 51561, 77870, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 51277, 52070, 51753, 51948, 56391, 51144, 51277, 52381, 51884, 52461, 56697, 51494, 51277, 52070, 51753, 51948, 56711, 51777, 51328, 52381, 51753, 52461, 50905, 50462, 51429, 51328, 51948, 51481, 52929, 50905, 50468, 51512, 51242, 52461, 51481, 53629, 50892, 50474, 51308, 51242, 51948, 51277, 52929, 50892, 50480, 51144, 50978, 52381, 51174, 52461, 50892, 54838, 51561, 51212, 52070, 51328, 51948, 57437, 51144, 51101, 52381, 51242, 52461, 55035, 51494, 51101, 52070 ]
[ 0, 250, 765, 6, 20425, 5175, 2214, 11, 272, 538, 6, 4246, 10, 13305, 816, 34879, 23, 10, 27841, 139, 20889, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 5705, 25935, 1626, 227, 5, 40286, 211, 8, 272, 6, 2351, 10, 20902, 8, 14899, 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 ]	[ 65919, 50429, 50861, 51059, 50452, 50861, 64776, 50861, 57239, 50861, 51059, 50796, 73866, 61109, 50861, 59475, 75019, 50449, 50916, 59315, 50900, 50975, 51809, 50916, 74377, 75019, 50431, 50916, 50975, 57267, 74661, 67595, 50453, 75019, 50461, 50916, 50975, 52591, 50900, 50975, 50428, 50916, 50975, 50435, 75019, 50443, 50916, 50975, 56222, 77567, 67595, 52177, 75019, 78630, 65759, 50861, 54179, 75019, 50440, 50861, 69455, 50861, 59981, 75019, 50455, 75019, 54594, 50975, 50429, 50900, 50975, 50916, 50975, 75019, 50437, 50861, 70736, 50861, 55380, 50900, 50975, 50916, 50975, 75019, 50452, 50861, 64776, 50861, 57239, 50900, 50975, 50916, 50975, 67595, 53069, 50902, 50975, 53523, 50975, 50916, 50975, 50968, 73637, 50861, 61109, 50861, 59475, 50900, 50975, 50916, 50975, 75019, 50449, 50861, 71524, 50861, 54178, 50900, 50975, 50916, 50975, 67595, 51809, 50968, 74377, 51026, 50975, 51086, 50975, 50899, 50975, 50902, 50975, 50431, 50973, 60363, 51026, 50975, 51086, 50975, 50899, 50975, 75019, 67655, 63816, 50861, 58615, 50900, 50975, 50916, 50975, 75019, 50461, 50861, 50823, 51809, 50861, 50823, 53502, 50975, 50916, 50975, 75019, 50428, 50861, 64058, 50861, 59184, 50900, 50975, 50916, 50975, 67595, 50443, 50902, 50975, 55895, 50975, 50916, 50975, 50968, 77567, 50876, 62181, 78773, 52177, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50425, 51026, 50975, 51086, 50975, 50899, 59959, 51026, 50975, 51086, 50975, 50899, 50975, 50436, 69593, 50440, 50968, 69455, 50902, 59981, 50900, 50975, 50916, 50975, 75019, 67595, 50455, 50968, 50975, 53975, 50975, 50916, 50975, 75019, 67595, 50429, 50900, 50975, 50916, 50975, 75019, 50437, 50861, 70736, 50861, 55380, 50900, 50975, 50916, 50975, 75019, 50452, 50861, 64776, 50861, 57239, 50900, 50975, 50916, 50975, 67595, 53069, 50902, 50975, 53523, 50975, 50916, 50975, 50968, 73637, 50861, 61109, 50861, 59475, 50900, 50975, 50916, 50975, 75019, 50449, 50861, 71524, 50861, 54178, 50900, 50975, 50916, 50975, 67595, 51809, 50968, 74377, 51026, 50975, 51086, 50975, 50899, 50975, 50902, 50975, 50431, 50973, 60363, 51026, 50975, 51086, 50975, 50899, 50975, 75019, 67655, 63816, 50861, 58615, 50900, 50975, 50916, 50975, 75019, 50461, 50861, 50823, 51809, 50861, 50823, 53502, 50975, 50916, 50975, 75019, 50428, 50861, 64058, 50861, 59184, 50900, 50975, 50916, 50975, 67595, 50443, 50902, 50975, 55895, 50975, 50916, 50975, 50968, 77567, 50876, 62181, 78773, 52177, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50425, 51026, 50975, 51086, 50975, 50899, 59959, 51026, 50975, 51086, 50975, 50899, 50975, 50436, 69593, 50440, 50968, 69455, 50902, 59981, 50900, 50975, 50916, 50975, 75019, 67595, 50455, 50968, 50975, 53975, 50975, 50916, 50975, 75019, 67595, 50429, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50437, 50968, 70736, 50968, 55380, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50452, 50968, 64776, 50968, 57239, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 53069, 50999, 50975, 57025, 50975, 50900, 50975, 50916, 50975, 50968, 73637, 50999, 73064, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50449, 50999, 59315, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 51809, 50902, 74377, 51176, 50975, 50916, 50975, 67595, 50431, 50899, 50975, 50973, 60363, 51027, 50975, 50900, 50975, 68165, 50453, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50461, 78773, 51809, 50968, 55573, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50428, 50968, 64058, 50968, 59184, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50443, 50999, 58981, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 77567, 50999, 50975, 52177, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50425, 50999, 50975, 58296, 50975, 50951, 50975, 50440, 51027, 50975, 50900, 50975, 51114, 73704, 51026, 51059, 51086, 51059, 50899, 51059, 50951, 51059, 54955, 50975, 51086, 50975, 50899, 50975, 50951, 50975, 50429, 75019, 50902, 50975, 50437, 50861, 67353, 70736, 50861, 67353, 55380, 75019, 50902, 50975, 50452, 67595, 50968, 50975, 50459, 50902, 50975, 50931, 50975, 53069, 51026, 50975, 50861, 51059, 50902, 51059, 57025, 73637, 51086, 50975, 50902, 50975, 50931, 73064, 50900, 50975, 67595, 50968, 50975, 50449, 50861, 51059, 50876, 75487, 51315, 50975, 51809, 51050, 50975, 67595, 50968, 74377, 51026, 50975, 50861, 51009, 50973, 51009, 50902, 51009, 50431, 51026, 55996, 51026, 53925, 51026, 75255, 75019, 50902, 50975, 50461, 50861, 67353, 50823, 51809, 50861, 67353, 55573, 75019, 50902, 50975, 50428, 67595, 50968, 50975, 50435, 50902, 50975, 50931, 50975, 50443, 51026, 50975, 50861, 51059, 50902, 63399, 51027, 77567, 51086, 50975, 50902, 50975, 50931, 50975, 52177, 50900, 50975, 67595, 50968, 50975, 78630, 51059, 50876, 68025, 51315, 50975, 50440, 51050, 50975, 67595, 50968, 73704, 51026, 50975, 50861, 51009, 50973, 51009, 50902, 51009, 50455, 51026, 56250, 51026, 50823, 54955, 50975, 50429, 50861, 51059, 50452, 50861, 64776, 50861, 57239, 50861, 51059, 50796, 73866, 61109, 50861, 59475, 75019, 50449, 50916, 59315, 50900, 50975, 51809, 50916, 74377, 75019, 50431, 50916, 50975, 57267, 74661, 67595, 50453, 75019, 50461, 50916, 50975, 52591, 50900, 50975, 50428, 50916, 50975, 50435, 75019, 50443, 50916, 50975, 56222, 77567, 67595, 52177, 75019, 78630, 65759, 50861, 54179, 75019, 50440, 50861, 69455, 50861, 59981, 75019, 50455, 75019, 54594, 50975, 50429, 50900, 50975, 50916, 50975, 75019, 50437, 50861, 70736, 50861, 55380, 50900, 50975, 50916, 50975, 75019, 50452, 50861, 64776, 50861, 57239, 50900, 50975, 50916, 50975, 67595, 53069, 50902, 50975, 53523, 50975, 50916, 50975, 50968, 73637, 50861, 61109, 50861, 59475, 50900, 50975, 50916, 50975, 75019, 50449, 50861, 71524, 50861, 54178, 50900, 50975, 50916, 50975, 67595, 51809, 50968, 74377, 51026, 50975, 51086, 50975, 50899, 50975, 50902, 50975, 50431, 50973, 60363, 51026, 50975, 51086, 50975, 50899, 50975, 75019, 67655, 63816, 50861, 58615, 50900, 50975, 50916, 50975, 75019, 50461, 50861, 50823, 51809, 50861, 50823, 53502, 50975, 50916, 50975, 75019, 50428, 50861, 64058, 50861, 59184, 50900, 50975, 50916, 50975, 67595, 50443, 50902, 50975, 55895, 50975, 50916, 50975, 50968, 77567, 50876, 62181, 78773, 52177, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50425, 51026, 50975, 51086, 50975, 50899, 59959, 51026, 50975, 51086, 50975, 50899, 50975, 50436, 69593, 50440, 50968, 69455, 50902, 59981, 50900, 50975, 50916, 50975, 75019, 67595, 50455, 50968, 50975, 53975, 50975, 50916, 50975, 75019, 67595, 50429, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50437, 51026, 50975, 51086, 50975, 50899, 58919, 51026, 50975, 51086, 50975, 50899, 50975, 50448, 69593, 50452, 50968, 64776, 50902, 57239, 50900, 50975, 50916, 50975, 75019, 67595, 53069, 50968, 59216, 51085, 54217, 50900, 54217, 50916, 54217, 50861, 54217, 50876, 54217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 15855, 2125, 19, 3495, 16882, 6, 4246, 10, 24896, 8, 21979, 8669, 4279, 594, 4, 20, 2214, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 6, 19, 17878, 9, 657, 8, 1619, 4, 8504, 11, 83, 538, 8, 10, 23667, 204, 73, 306, 86, 6543, 6, 24, 22848, 10, 33215, 16739, 9, 83, 6, 381, 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 ]	[ 50799, 50643, 50426, 52521, 50860, 51967, 54684, 52521, 50860, 51967, 55276, 52521, 50860, 51967, 63757, 53122, 54554, 51967, 50860, 52142, 55273, 52130, 50860, 52142, 50860, 77630, 50860, 52142, 51072, 51171, 68107, 53058, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 52130, 50860, 52142, 51072, 50946, 63523, 53058, 54554, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53058, 50860, 52142, 50860, 71411, 51072, 52142, 50860, 51171, 68107, 53020, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 51951, 50860, 52142, 55276, 53058, 50860, 52142, 51072, 50946, 63523, 52130, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 51951, 50860, 52142, 50860, 77630, 50860, 52142, 51072, 51171, 68107, 53058, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 53058, 50860, 52142, 51072, 50946, 63523, 52130, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 51066, 51967, 51066, 51171, 62819, 52521, 50860, 51967, 67072, 51066, 50944, 51066, 50850, 63284, 53122, 50860, 51967, 55276, 51967, 50860, 52142, 50860, 52540, 63523, 52130, 50860, 52142, 54554, 53058, 50860, 52142, 50860, 51791, 62287, 51967, 50860, 52142, 50860, 71411, 50860, 52142, 50860, 51688, 68107, 52130, 50860, 52142, 54675, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 63284, 52130, 50860, 52142, 55276, 52130, 50860, 52142, 50860, 51217, 63523, 53058, 50860, 52142, 54554, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 62287, 53928, 50860, 52130, 50860, 50799, 53122, 50860, 52130, 50860, 51688, 68107, 53928, 50860, 52130, 54675, 53928, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 53928, 50860, 52130, 55276, 53122, 50860, 52130, 50860, 51791, 63523, 52521, 50860, 52130, 54554, 53122, 50860, 52130, 50860, 52540, 62287, 53928, 50860, 52130, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 52130, 50860, 52142, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 51066, 51967, 51066, 51171, 62819, 52521, 50860, 51967, 67072, 51066, 50944, 51066, 50850, 63284, 52521, 50860, 51967, 55276, 52521, 50860, 51967, 72628, 63523, 53122, 50860, 51967, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 51951, 50860, 52142, 50860, 77630, 50860, 52142, 50860, 51171, 68107, 53058, 50860, 52142, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 52130, 50860, 52142, 72628, 63523, 53058, 50860, 52142, 54554, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53058, 50860, 52142, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 51967, 50860, 53020, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 51951, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53058, 50860, 52142, 50860, 71411, 50860, 53258, 50860, 51171, 68107, 51967, 50860, 53020, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 51951, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 50860, 51967, 50860, 51171, 68107, 53122, 50860, 51967, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 50860, 52540, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 50860, 51791, 62287, 53058, 50860, 52142, 50860, 71411, 50860, 52142, 50860, 51688, 68107, 52130, 50860, 52142, 54675, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 63284, 52130, 50860, 52142, 55276, 52130, 50860, 52142, 50860, 51217, 63523, 53058, 50860, 52142, 54554, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 62287, 53928, 50860, 52130, 50860, 50799, 53122, 50860, 52130, 50860, 51688, 68107, 53928, 50860, 52130, 54675, 53928, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 53928, 50860, 52130, 55276, 53122, 50860, 52130, 50860, 51791, 63523, 52521, 50860, 52130, 54554, 53122, 50860, 52130, 50860, 52540, 62287, 53928, 50860, 52130, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 53058, 50860, 52142, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 71411, 51066, 52142, 51066, 51171, 62819, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 50860, 51217, 63523, 51951, 50860, 52142, 54554, 51967, 50860, 52142, 50860, 51506, 62287, 51967, 50860, 53258, 50860, 71411, 50860, 52142, 50860, 50988, 68107, 51967, 50860, 53020, 54675, 51967, 50860, 53020, 67072, 51066, 50847, 51066, 50935, 63284, 51967, 50860, 53020, 55276, 51967, 50860, 53020, 50860, 51171, 63523, 51967, 50860, 52142, 54554, 51967, 50860, 53020, 67072, 51066, 50847, 51066, 50935, 62287, 51967, 50860, 56212, 50860, 71411, 51066, 53258, 51066, 50988, 62819, 51967, 50860, 53258, 67072, 51066, 50847, 51066, 50935, 63284, 51967, 50860, 55034, 55276, 51967, 50860, 53258, 50860, 51506, 63523, 51967, 50860, 53020, 54554, 51967, 50860, 52142, 50860, 51217, 62287, 51967, 50860, 51951, 50860, 52142, 50860, 77630, 50860, 52142, 50860, 51171, 68107, 53058, 50860, 52142, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 50860, 51967, 50860, 51171, 68107, 53122, 50860, 51967, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 50860, 52540, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 50860, 51791, 62287, 53058, 50860, 52142, 50860, 77723, 50860, 51967, 50860, 51688, 68107, 52682, 50860, 52130, 54675, 52682, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 52682, 50860, 52130, 55276, 52682, 50860, 52130, 50860, 52540, 63523, 52682, 50860, 53058, 54554, 52682, 50860, 52130, 74090, 51066, 78436, 50850, 62287, 53928, 50860, 52130, 50860, 50799, 53122, 50860, 52130, 50860, 51688, 68107, 53928, 50860, 52130, 54675, 53928, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 53928, 50860, 52130, 55276, 53122, 50860, 52130, 50860, 51791, 63523, 52521, 50860, 52130, 54554, 53122, 50860, 52130, 50860, 52540, 62287, 53928, 50860, 52130, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 52130, 50860, 52142, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 50860, 51967, 50860, 51171 ]
[ 0, 250, 182, 1769, 12, 20764, 8, 20425, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 34879, 11, 5, 762, 9, 272, 538, 4, 20, 15229, 34, 10, 25306, 1318, 8, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 15073, 4, 85, 3905, 10, 204, 73, 306, 86, 6543, 8, 1171, 10, 33215, 16739, 9, 83, 6, 211, 119, 6, 381, 6, 230, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 51050, 80082, 51141, 50999, 51077, 53645, 57173, 51146, 53263, 51062, 52599, 51050, 64951, 51608, 50326, 55082, 50871, 67883, 78599, 50889, 54197, 67883, 51141, 50999, 51141, 53645, 57173, 50951, 67689, 52446, 51050, 64510, 51608, 50328, 55480, 51026, 53562, 51027, 53586, 50997, 50845, 53975, 58421, 51077, 50931, 67297, 51085, 54975, 50999, 62530, 60006, 63883, 50951, 52596, 50931, 50805, 51085, 57414, 50951, 50805, 55694, 65934, 55385, 50871, 53172, 50900, 57069, 62931, 55112, 51027, 53264, 51050, 56306, 50931, 52596, 51339, 61480, 57414, 51339, 50805, 68818, 57260, 57933, 51146, 52483, 51081, 69769, 57173, 51081, 52446, 71214, 50916, 63939, 51081, 52711, 50999, 53668, 51081, 52741, 51062, 69769, 57414, 79299, 62856, 52864, 50871, 64510, 52483, 50900, 67996, 55112, 51027, 53264, 51050, 56306, 50931, 52596, 51339, 61480, 57414, 51339, 50805, 68818, 57260, 57933, 51146, 52483, 51081, 69769, 57173, 51081, 52446, 71214, 50916, 63939, 51081, 52711, 50999, 53668, 51081, 52741, 51062, 69769, 57414, 79299, 62856, 57449, 57933, 50999, 52483, 51081, 53847, 50999, 52559, 50951, 53263, 50999, 52599, 51062, 55143, 56306, 51081, 52596, 51062, 53987, 51081, 52643, 50999, 53848, 79299, 62529, 56876, 57933, 51062, 52483, 51146, 53847, 51062, 52559, 51220, 53263, 51062, 52599, 51399, 58204, 56306, 51146, 52596, 51081, 52961, 50951, 50805, 56229, 56472, 57933, 50968, 52483, 50951, 52605, 50931, 52446, 50931, 54134, 50951, 52711, 50931, 53668, 50968, 52741, 50968, 53987, 50931, 52643, 50968, 53848, 66638, 55331, 54275, 50968, 52871, 50902, 54080, 50876, 53049, 50876, 56274, 50902, 53911, 50876, 56529, 50906, 52729, 50906, 56532, 50876, 53783, 50906, 55876, 50877, 53140, 50877, 56936, 50906, 54900, 50877, 58223, 58219, 54578, 65348, 51283, 50999, 51080, 57340, 52688, 50876, 53052, 72441, 50877, 56784, 51062, 52788, 50871, 57945, 77404, 56350, 50877, 52985, 50876, 57643, 70453, 56109, 50877, 50838, 54578, 57643, 51283, 50999, 51283, 57340, 52688, 50876, 53052, 50877, 57945, 64079, 52718, 50871, 60472, 74616, 56350, 50877, 52985, 50876, 53581, 50877, 50838, 54578, 51260, 50333, 51283, 51146, 51080, 55902, 52688, 50902, 53052, 51487, 50827, 50861, 56784, 51339, 52788, 50871, 65348, 51517, 50332, 56350, 50861, 52985, 50902, 74984, 51517, 50330, 56109, 50861, 50838, 54578, 74984, 51283, 51146, 51283, 55902, 52688, 50902, 53052, 50861, 65348, 51260, 50332, 52718, 50871, 77868, 51517, 50333, 56350, 50861, 52985, 50902, 53581, 50861, 50838, 55524, 57945, 51077, 51487, 51077, 55902, 52688, 50876, 53052, 50861, 52718, 51487, 50933, 50916, 50838, 50442, 51339, 57940, 50861, 69262, 51430, 55514, 51430, 50933, 50876, 80230, 51146, 57131, 50861, 70529, 51062, 50933, 59733, 50933, 50871, 50838, 50418, 51220, 50933, 57340, 67132, 50999, 55656, 50876, 60472, 51381, 63174, 52718, 50871, 50932, 50442, 51147, 62565, 50999, 55514, 51220, 72921, 50999, 65897, 51147, 50933, 58479, 50933, 50418, 51220, 64987, 51062, 55656, 51146, 68858, 51062, 62727, 51220, 56180, 51062, 70430, 51399, 62565, 51146, 55514, 51430, 72921, 51146, 65897, 51399, 50933, 62529, 51008, 50916, 50995, 50418, 51430, 65023, 51339, 57818, 51487, 70258, 51339, 63125, 51430, 55467, 51814, 50878, 50871, 50889, 50442, 51487, 69775, 51339, 58332, 51430, 50942, 50989, 50807, 50454, 51146, 65737, 51062, 50925, 66302, 50925, 50861, 50896, 50418, 51146, 62270, 51062, 55640, 51220, 69270, 50999, 62408, 50951, 56983, 69697, 51026, 51608, 50303, 50889, 50442, 50968, 64482, 50902, 57006, 50968, 50910, 51026, 70156, 50889, 50454, 50902, 62990, 67594, 57844, 50910, 51026, 62525, 50889, 50418, 51146, 60853, 51062, 56382, 51220, 62815, 50999, 58877, 50951, 56983, 69697, 51026, 51608, 50303, 50889, 50442, 50968, 64482, 50902, 57006, 50968, 50910, 51026, 70156, 50889, 50454, 50902, 62990, 67594, 57844, 50910, 51026, 62525, 50889, 80121, 60853, 50876, 56382, 50973, 62815, 50877, 58877, 50861, 56983, 67559, 51214, 76195, 50889, 50442, 80143, 64118, 57006, 80143, 51214, 76195, 50889, 50454, 50899, 62990, 50900, 50910, 54795, 50897, 51086, 79936, 51026, 50925, 61084, 50422, 51120, 50942, 50899, 57629, 51324, 50878, 51086, 68486, 51120, 50959, 50899, 61782, 51324, 51008, 51086, 59983, 51214, 52019, 50299, 59124, 50951, 50932, 59733, 51283, 54439, 55665, 51146, 53720, 51430, 52788, 50876, 62722, 54980, 51028, 77316, 56807, 54869, 58254, 50931, 70342, 50876, 52739, 50973, 53720, 50877, 52788, 50861, 55247, 50965, 60700, 51517, 50327, 50932, 54852, 74616, 51283, 50968, 51080, 56546, 57173, 51220, 53720, 50999, 52788, 51147, 57712, 56350, 50999, 52985, 73137, 51001, 65421, 50999, 53176, 50951, 54529, 61111, 66302, 51172, 50916, 76695, 51147, 52580, 50973, 51172, 50968, 75986, 50965, 52788, 50916, 54980, 50968, 50932, 58479, 51283, 56248, 55665, 51220, 53720, 51062, 52788, 50877, 58327, 57991, 50973, 60700, 51741, 50325, 50981, 57923, 51807, 50322, 51003, 56546, 64951, 51218, 50968, 51359, 59419, 51077, 50906, 63883, 50931, 52596, 50951, 52961, 50999, 50805, 56807, 58520, 58421, 57933, 50931, 53172, 50968, 52015, 78740, 54221, 50902, 52718, 50916, 58327, 71169, 51080, 56415, 62722, 52062, 50456, 50902, 50838, 53975, 65377, 58327, 55665, 50951, 53263, 50931, 52599, 51315, 59368, 62219, 53898, 50444, 51120, 59238, 58404, 52610, 51085, 61805, 56501, 52931, 51324, 70167, 58692, 50806, 55547, 51608, 50301, 59460, 55112, 50877, 53263, 50951, 52599, 51050, 57926, 63037, 52692, 51315, 59368, 62219, 52570, 50450, 51120, 59238, 58404, 52931, 51085, 61805, 71181, 58066, 51608, 50303, 66154, 55112, 51339, 53720, 51430, 52788, 50973, 77868, 53624, 50902, 65348, 52985, 50973, 74984, 53581, 50902, 60472, 50838, 54960, 57945, 51172, 67855, 56909, 50999, 52580, 50876, 57945, 53052, 50968, 51260, 50335, 52718, 50902, 57945, 78369, 50931, 57060, 50999, 52989, 50902, 57945, 53581, 50931, 51260, 50335, 50838, 56807, 50933, 50968, 50932, 50418, 51487, 64987, 51339, 55656, 51430, 68858, 51146, 62727, 51062, 56180, 51146, 50825, 50968, 65300, 77563, 51062, 67552, 51220, 62565, 51062, 55514, 51146, 69043, 51619, 62624, 50451, 51062, 65415, 51220, 65897, 51062, 50933, 57289, 65300, 50932, 50418, 51487, 64987, 51339, 55656, 51430, 68858, 51146, 62727, 51062, 56180, 51146, 50825, 50968, 65300, 77563, 51062, 67552, 51220, 62565, 51062, 55514, 51146, 69043, 51619, 62624, 50451, 51062, 65415, 51220, 65897, 51062, 50933, 57289, 65300, 50932, 50418, 51062, 64987, 51146, 57818, 51430, 70258, 51339, 66855, 51487, 58866, 51081, 51077, 50442, 50951, 64482, 50931, 55620, 50968, 50925, 50454, 50902, 68627, 59725, 56310, 50981, 50418, 51147, 64987, 50999, 55656, 51062, 68858, 50999, 62727, 50931, 56180, 50861, 58327, 62722, 51592, 63932, 61077, 70713, 80245, 50876, 58345, 50902, 63226, 50876, 54481, 50902, 67321, 50876, 57490, 50902, 65315, 50876, 50867, 54960, 62722, 51452, 50432, 50951, 53263, 50931, 52599, 51315, 59368, 62219, 53898, 50444, 51120, 59238, 58404, 52610, 51085, 61805, 56501, 52931, 51324, 70167, 58692, 50806, 55547, 51608, 50301, 59460, 55112, 50877, 53263, 50951, 52599, 51050, 57926, 63037, 52692, 51315, 59368, 62219, 52570, 50450, 51120, 59238, 58404, 52931, 51085, 61805, 71181, 58066, 51608, 50303, 66154, 55112, 51339, 53720, 51430, 52788, 50973 ]
[ 0, 250, 15352, 30054, 8, 19448, 3495, 13305, 2125, 11, 83, 538, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 11926, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 590, 10, 23758, 3938, 20889, 8, 10, 132, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 381, 406, 6, 83, 6, 15312, 757, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 69434, 50425, 51114, 55191, 50968, 52254, 50432, 51114, 56000, 51114, 50813, 69434, 50415, 51114, 67142, 50989, 51148, 50421, 50877, 51490, 50899, 51490, 50431, 51114, 50859, 51057, 50632, 50415, 67423, 50421, 51114, 50866, 50425, 50931, 51254, 50428, 51114, 66591, 50951, 52168, 69434, 51315, 54228, 50421, 51027, 59170, 50427, 51040, 52618, 71625, 55811, 50433, 51315, 52514, 50436, 64920, 69434, 50415, 51315, 53164, 50315, 52011, 50417, 51028, 53838, 50421, 51027, 55812, 50427, 51040, 52618, 50431, 50902, 51254, 50434, 51001, 51022, 50437, 50968, 51709, 51057, 50630, 50415, 51315, 52397, 56945, 52618, 61104, 60346, 51001, 73632, 51315, 52514, 51057, 50630, 50415, 50968, 51277, 51279, 52519, 50420, 51315, 60243, 50421, 51001, 70001, 51026, 72464, 50428, 50968, 51524, 50430, 76890, 50431, 51360, 51832, 50433, 51114, 51376, 51057, 50630, 50415, 51120, 52518, 50421, 51027, 54191, 50313, 71874, 50973, 72435, 51028, 64463, 50989, 72464, 50433, 50861, 52179, 50902, 75256, 50968, 50933, 50436, 50965, 50912, 69781, 51114, 50904, 76751, 51060, 58973, 71695, 71473, 53109, 50999, 72680, 52386, 50330, 53272, 50902, 50863, 50999, 51764, 50330, 55286, 50902, 50820, 50999, 50829, 51146, 50908, 69781, 51146, 66919, 66083, 50901, 54569, 51954, 50298, 51051, 57025, 54354, 64920, 69781, 75456, 67722, 50968, 51524, 75536, 51258, 50418, 76884, 50421, 51028, 53935, 50902, 51008, 50429, 51001, 51051, 50433, 50968, 51490, 51057, 50630, 51027, 54557, 50421, 50916, 56374, 58319, 52167, 51028, 51387, 69781, 50416, 50861, 51642, 50902, 51095, 51315, 51244, 50422, 50973, 51481, 72513, 77429, 50317, 51490, 50430, 71579, 50434, 50973, 53280, 69781, 50415, 51279, 52988, 50428, 50877, 56427, 50973, 56857, 57947, 50437, 51028, 51333, 74734, 50415, 51360, 53838, 50416, 51027, 52397, 50428, 51315, 69066, 50431, 64041, 50433, 51197, 52101, 51028, 60968, 50968, 73425, 51120, 51387, 77669, 50902, 51753, 50420, 51841, 67022, 50287, 75431, 51503, 57818, 51279, 51381, 66702, 50415, 51324, 50914, 50421, 51360, 52059, 50427, 51120, 51210, 50431, 51315, 51753, 50437, 51027, 52056, 51057, 50630, 51120, 52378, 50419, 50877, 51112, 50973, 51159, 50902, 67800, 51226, 50431, 50973, 62574, 50320, 69868, 50899, 52514, 50434, 50956, 51210, 50436, 64410, 69781, 50877, 51100, 50973, 51101, 50931, 51215, 50871, 51534, 75456, 51166, 50421, 50968, 72925, 50902, 75343, 51001, 61231, 50968, 51115, 69434, 74354, 51703, 51040, 54829, 50421, 50916, 57912, 50422, 51028, 52134, 50427, 50902, 65176, 50968, 51009, 69781, 50426, 51315, 51376, 50429, 51050, 65298, 51026, 51252, 50434, 51176, 51022, 50437, 51027, 51333, 51057, 50630, 50419, 50968, 52717, 50289, 50974, 50421, 50931, 51550, 50423, 50968, 52482, 50432, 51001, 50907, 51057, 50630, 50968, 50879, 50421, 51040, 50982, 50861, 53896, 50902, 51051, 50429, 51028, 51524, 63975, 51922, 50433, 50871, 54557, 69434, 50415, 51197, 51258, 51120, 52783, 50421, 51027, 51550, 50427, 51050, 58483, 71288, 79675, 51477, 50877, 51562, 51057, 50630, 50421, 51027, 61033, 51027, 50937, 50430, 51026, 51376, 50433, 51050, 51524, 50435, 51315, 51470, 69781, 50415, 51120, 51961, 55961, 54179, 50861, 76257, 50965, 50907, 69781, 50877, 50974, 58060, 51446, 50426, 51234, 57648, 50906, 52188, 69781, 51279, 70261, 50877, 51318, 61104, 50863, 50916, 62169, 51324, 51129, 50861, 51006, 50436, 69119, 69781, 51279, 65926, 50916, 59492, 51040, 50908, 51027, 51128, 51057, 50630, 51279, 51258, 56440, 50972, 50427, 51040, 57378, 50871, 51376, 50435, 50989, 51022, 77669, 72251, 51279, 52407, 62143, 69118, 62804, 50430, 50965, 50866, 50433, 51315, 63684, 50313, 50917, 50436, 51197, 51365, 69434, 50415, 51120, 51212, 50421, 50951, 51006, 50424, 51147, 69118, 50999, 57004, 51027, 51269, 50997, 51269, 51147, 66878, 51174, 69781, 65882, 51126, 50421, 51028, 51328, 79270, 50951, 51095, 51027, 75725, 50916, 64399, 64551, 58961, 50433, 51114, 61284, 51040, 52167, 69781, 76047, 51051, 50419, 50916, 51832, 57340, 50952, 50973, 51116, 50931, 51238, 50902, 51345, 50421, 50871, 51337, 64185, 62391, 53529, 50315, 65567, 59816, 71152, 50436, 64410, 69781, 50871, 51277, 66002, 76751, 52434, 50315, 60582, 50924, 56440, 62907, 50968, 56323, 50902, 61156, 51114, 51123, 50430, 51001, 50959, 50433, 50968, 51194, 69781, 50415, 51324, 51129, 51279, 51775, 50421, 51028, 51609, 50296, 52518, 50427, 51026, 57123, 50902, 52363, 50296, 51314, 50435, 51001, 50959, 51057, 50630, 50968, 51203, 56978, 51330, 50431, 50997, 51269, 50434, 50899, 51006, 69781, 51040, 51226, 67855, 53537, 50861, 57378, 70647, 77669, 69640, 50968, 51310, 50421, 51279, 51203, 51315, 51115, 50427, 50902, 52179, 50431, 51028, 51365, 50435, 51197, 51862, 50902, 51381, 50871, 52519, 69434, 50415, 51120, 53957, 50422, 51799, 50925, 50428, 58219, 50431, 50965, 65176, 61048, 50436, 58254, 51057, 50630, 75337, 79578, 51241, 57340, 57421, 51378, 50845, 69781, 51026, 51477, 50419, 50902, 68545, 57864, 51351, 50420, 50973, 50907, 50906, 52415, 50287, 51110, 50431, 50877, 59099, 51050, 65867, 50906, 51218, 50436, 51315, 51417, 69781, 50861, 63129, 51541, 50427, 51197, 51056, 50436, 51360, 51022, 69781, 51120, 51680, 50417, 51339, 51142, 50419, 51146, 59895, 50999, 67503, 50931, 51091, 50431, 50951, 79624, 50999, 50892, 69781, 51146, 55492, 51799, 57173, 50902, 50905, 50436, 69915, 51057, 50630, 50415, 50931, 51391, 50421, 51234, 51178, 50428, 51050, 51297, 50431, 72311, 50433, 50902, 70142, 50931, 51365, 69434, 50415, 51176, 50984, 50899, 51022, 50968, 51210, 50418, 76884, 50421, 51028, 51679, 54439, 54126, 50305, 51333, 50434, 50916, 54088, 50968, 54618, 50436, 50956, 51269, 50437, 50902, 51645, 69781, 76047, 52514, 50421, 51214, 51008, 50424, 51503, 53272, 51279, 51108, 69434, 50415, 51799, 57242, 51114, 62846, 51787, 54104, 51114, 50835, 51787, 52670, 51114, 50837, 51787, 52767, 50997, 50839, 51114, 50829, 51787, 51604, 50294, 50933, 51378, 52434, 50301, 66867, 67502, 51315, 51008, 69781, 51114, 50829, 51787, 50867, 54569, 50908, 50877, 76875, 53803, 51114, 50837, 51787, 53196, 51114, 50813, 51787, 50867, 51057, 50630, 50989, 64215, 74197, 51682, 50322, 51689, 50334, 58745, 51114, 51682, 50334, 61721, 51176, 75967, 51609, 50296, 51665, 50305, 53308, 51026, 73098, 52731, 50434, 66735, 69781, 50951, 51391, 61683, 67445, 64189, 59741, 50968, 52188, 50431, 51028, 66129, 50931, 67022, 50317, 51806, 50437, 51040, 51126, 69781, 50861, 50908, 50916, 76247, 50973, 51645, 50428, 51028, 74308, 50902, 51142, 50434, 50968, 50981, 69781, 50916, 61686, 50820, 51040, 60567, 50968, 77554, 51001, 51524, 71625, 51333, 51057, 50630, 51040, 61687, 59602, 53405, 51001, 52048, 50427, 51360, 50863, 51324, 51051, 51279, 51480, 50432, 51085, 57800, 50320, 51254, 50435, 50931, 51470, 50436, 51360, 51269, 69781, 51120, 52845, 50322, 51477, 50427, 51279, 56123, 63975, 51309, 51057, 50630, 51120, 51466, 58973, 58980, 50902, 52524, 50902, 51764, 50289, 52059, 50431, 50902, 50835, 69781, 50861, 63665, 51274, 50877, 51448, 51966, 51417, 50428, 51120, 63532, 50431, 51028, 50933, 51057, 50630, 50968, 51022, 50965, 51043, 50902, 51255, 51247, 51391, 50422, 51028, 50959, 50428, 51050, 52059, 50431, 50902, 72426, 51001, 51254, 69781, 50968, 53674, 50861, 56374, 50415, 51279, 73318 ]
[ 0, 250, 2635, 12, 20764, 6, 15352, 30054, 3495, 1619, 1011, 625, 11, 230, 3694, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 8669, 6, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 1328, 42, 8787, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 53069, 50791, 60759, 50791, 61194, 50900, 65758, 71420, 50859, 66088, 51026, 51189, 51085, 77392, 60715, 50902, 50921, 50931, 50921, 50861, 53538, 59363, 50968, 51045, 53069, 50973, 51157, 50902, 51073, 51279, 51141, 50916, 51417, 50791, 62518, 51315, 50889, 50431, 50877, 79340, 53960, 60281, 51027, 50849, 50443, 50871, 51116, 50899, 51189, 50900, 51218, 51120, 51413, 50791, 61576, 51027, 51191, 50455, 50871, 66363, 59363, 50877, 50836, 53069, 50877, 51505, 50876, 51505, 51026, 62461, 62518, 50871, 51138, 50431, 50973, 56294, 51505, 50899, 50980, 51050, 60181, 60281, 50876, 50950, 50443, 50861, 50980, 50973, 51157, 50902, 70660, 51608, 50296, 76909, 60715, 50861, 58568, 59363, 50973, 50855, 53069, 50916, 64715, 51919, 50289, 67425, 62518, 51315, 50914, 50431, 50861, 50884, 50968, 50884, 51027, 60181, 60281, 50916, 78954, 62860, 50900, 58871, 57743, 50805, 51120, 51472, 50791, 61576, 51027, 51141, 50455, 50877, 51331, 59363, 50876, 51045, 53069, 50899, 60757, 63621, 56501, 67899, 51364, 57034, 72376, 62518, 51214, 51073, 51098, 50892, 50431, 50951, 50828, 50999, 50884, 51062, 51031, 51146, 51031, 51487, 50817, 51273, 53284, 60281, 51098, 50892, 50440, 51026, 59692, 51026, 58903, 51274, 50951, 51761, 50876, 51285, 50900, 51472, 51150, 51103, 50791, 66219, 50900, 51006, 50454, 50900, 51277, 50455, 50791, 65493, 50899, 50838, 52177, 50916, 51277, 50419, 51086, 51958, 50322, 51141, 50902, 51364, 50973, 51077, 51668, 64389, 55133, 50871, 51277, 50430, 50916, 51277, 50431, 50916, 51237, 51493, 58880, 65925, 50899, 65668, 51147, 51138, 77025, 51283, 50443, 50968, 65332, 51238, 50876, 50980, 51027, 51364, 52419, 72376, 61576, 50916, 50889, 50455, 50999, 51392, 65493, 51062, 50883, 51601, 50916, 56115, 50899, 50838, 50418, 51026, 51073, 50419, 50902, 70622, 64332, 55859, 55133, 50900, 51277, 50425, 50951, 57834, 50899, 70217, 50968, 71327, 51158, 50876, 51345, 51461, 55859, 65925, 51027, 51277, 50437, 50931, 71647, 50951, 59503, 50931, 51226, 50999, 51059, 50876, 51761, 50900, 51283, 51050, 51285, 51140, 51413, 50791, 61576, 50900, 51241, 50455, 50871, 76104, 65493, 50931, 62959, 65608, 65585, 56310, 74941, 55916, 60906, 50418, 51086, 68588, 51472, 50419, 50951, 53819, 50318, 50821, 51220, 50950, 51140, 51103, 50791, 63655, 51146, 51031, 50900, 71202, 51487, 51031, 50899, 51309, 50431, 50791, 65925, 51220, 59575, 50899, 65534, 64524, 50899, 65534, 51080, 50443, 50968, 51141, 50951, 51141, 50902, 51218, 50916, 51417, 51315, 51413, 51493, 67425, 60715, 50791, 50883, 52478, 51793, 59182, 52078, 72376, 53336, 50877, 50980, 60355, 50899, 51274, 51026, 51274, 50425, 50876, 50824, 50431, 50877, 53960, 60281, 57127, 50871, 50817, 50899, 51277, 50443, 51085, 50883, 50900, 51604, 50299, 51274, 50916, 51761, 50900, 51300, 50861, 52512, 51150, 51103, 50791, 53675, 51085, 51274, 50445, 51027, 56197, 51026, 51172, 50455, 50791, 61765, 51026, 61243, 60906, 51601, 63383, 50419, 50916, 52169, 50306, 51192, 51324, 51345, 51086, 50980, 51668, 64389, 63655, 50871, 69192, 50916, 71983, 50916, 51277, 50431, 51086, 53819, 50312, 50811, 51315, 50889, 51493, 55859, 65925, 50902, 59653, 51086, 50838, 77025, 51283, 50443, 50877, 66291, 58681, 51141, 51027, 51472, 51216, 59770, 61576, 51279, 51013, 50455, 50900, 51575, 59363, 50861, 51010, 51601, 50877, 50950, 50416, 61022, 50418, 50861, 50950, 51214, 58548, 50838, 50419, 50899, 50950, 50906, 51505, 51098, 55859, 63655, 50997, 51031, 50900, 75343, 50877, 50884, 68928, 76242, 50902, 66355, 51919, 50292, 59238, 70217, 51461, 55859, 65925, 72862, 51027, 51277, 50443, 51247, 57253, 51745, 50877, 51761, 50861, 51274, 50900, 51627, 50871, 51870, 51140, 59770, 66219, 51085, 51204, 50455, 51027, 59961, 65493, 50876, 51138, 53069, 50900, 51277, 50916, 51735, 50861, 53751, 50296, 51364, 50876, 51870, 51493, 59770, 62518, 50899, 70217, 50916, 51484, 50916, 72872, 60281, 50861, 50924, 50440, 58529, 50442, 51120, 62860, 50899, 51627, 50899, 52512, 50871, 52512, 50877, 51300, 51273, 51103, 50791, 53675, 51120, 51472, 50455, 50791, 50883, 53069, 74231, 62926, 50899, 71368, 50921, 51026, 51336, 51098, 50991, 51088, 55706, 61426, 51026, 70217, 50871, 74275, 79340, 53194, 50321, 64332, 79164, 56214, 52586, 57776, 50877, 50838, 51098, 50821, 51284, 50805, 52487, 50923, 50443, 50861, 59238, 51505, 50916, 51505, 51085, 51364, 50861, 51627, 51150, 51145, 51182, 51077, 51926, 51077, 52453, 54533, 50449, 51026, 50889, 52112, 50455, 50902, 51031, 50931, 51010, 50929, 50884, 51032, 50846, 51292, 64654, 51636, 50461, 50968, 50921, 50876, 54444, 50884, 51809, 50861, 62016, 50861, 50838, 50419, 50973, 58404, 51442, 50289, 51141, 51216, 59770, 53432, 75564, 50916, 69192, 51315, 51013, 51384, 50805, 54970, 53417, 60759, 50876, 53936, 50313, 74275, 51172, 51032, 50884, 51292, 75634, 50883, 51558, 50938, 54294, 50924, 50903, 51636, 50437, 51027, 50879, 51304, 50977, 53506, 52201, 73423, 61022, 50443, 50899, 57926, 61805, 51192, 51120, 51294, 50871, 51283, 51273, 51189, 51201, 51183, 51690, 51183, 52453, 58977, 51027, 51215, 52112, 50455, 50877, 53194, 50306, 51192, 50871, 51505, 50970, 75634, 50883, 51032, 64654, 51636, 50461, 50876, 51010, 51273, 54042, 50884, 51601, 50871, 62016, 50871, 51277, 51214, 51095, 50419, 50899, 52035, 50304, 76206, 51012, 51098, 51003, 51304, 50901, 53506, 50938, 52453, 63863, 50916, 51277, 50425, 51026, 50806, 51558, 50866, 54294, 52201, 61426, 50899, 70217, 50861, 51932, 50973, 51932, 51050, 65610, 51735, 51140, 50914, 50960, 50883, 51032, 50840, 50970, 50884, 50947, 50883, 51284, 50905, 52487, 50938, 50903, 51636, 50437, 50973, 50838, 51558, 50901, 54294, 52839, 65809, 50861, 51627, 50443, 50916, 51167, 50861, 51653, 50973, 51653, 51315, 51274, 51493, 51091, 51182, 51623, 51926, 51790, 52453, 58977, 52112, 50455, 50916, 51238, 50998, 50883, 50929, 50883, 51067, 50839, 51076, 64654, 51636, 50461, 68455, 51493, 50901, 65986, 50949, 51601, 50861, 62016, 50861, 51277, 50419, 50916, 51160, 51279, 51274, 50876, 51761, 51216, 51189, 52453, 60517, 50871, 68589, 51364, 51384, 50805, 54970, 52839, 61426, 50916, 51172, 50431, 50900, 51138, 50998, 50884, 50947, 50883, 51032, 50884, 51558, 50901, 54294, 71424, 51636, 50437, 50916, 50817, 51216, 50849, 51304, 50845, 53506, 54042, 73423, 50871, 63893, 64524, 51120, 51294, 50443, 50861, 52169, 50306, 76206, 61805, 51192, 51273, 51295, 51284, 51623, 52487, 51790, 52453, 64223, 50871, 51006, 50449, 51027, 51095, 52112, 50454, 50871, 51277, 50455, 50877, 53936, 50309, 58813, 51653, 50960, 50883, 50947, 50884, 50970, 51041, 54831, 56912, 50916, 51277, 51493, 52217, 54405, 50949, 51809, 51140, 66356, 50899, 51505, 50871, 51192, 51214, 51215, 50900, 51215, 50899, 51172, 69606, 51032, 51196, 52453, 60517, 50877, 50859, 50947, 51552, 51733, 50854, 60336, 53199, 68016, 51384, 50854, 54970, 66084, 50861, 53936, 50315, 51505, 50899, 51653, 51050, 50824, 67603, 79184, 51304, 50901, 53506, 54042, 53432, 64116, 53785, 50973, 65668, 74302, 54765, 51558, 50887, 54294, 52423, 51130, 73423, 51182, 50854, 51926, 50955, 50441, 61048, 50443, 50899, 51073, 50916, 62667, 52297, 50296, 51336, 51493, 51091, 51384, 51336, 54970, 51183, 52453, 52267, 80235, 50449, 52112, 50455, 50899, 51012, 50998, 50884 ]
[ 0, 250, 12298, 5175, 1619, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 3152, 6757, 981, 5, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 20535, 2810, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 11498, 10, 11956, 38451, 3938, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 2060, 538, 6, 19, 5, 40286, 2060, 119, 1176, 406, 8, 2060, 401, 16331, 1328, 6, 2351, 10, 32625, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 70561, 50823, 51570, 50823, 53028, 50823, 51544, 50823, 51570, 52116, 50791, 50803, 57346, 50817, 50871, 68678, 51059, 51360, 61511, 50956, 51059, 50906, 51059, 50989, 51059, 51197, 65027, 51966, 51029, 51040, 51029, 50989, 75422, 51029, 52591, 51040, 50823, 51966, 52035, 50310, 67573, 54675, 51966, 52035, 50305, 52035, 50310, 67573, 54684, 51966, 52035, 50305, 52035, 50310, 67573, 55276, 51966, 50823, 51040, 52035, 50310, 67573, 56059, 50906, 50823, 51966, 52035, 50305, 52035, 50310, 54554, 51966, 52035, 50305, 52035, 50310, 67573, 55273, 50989, 79482, 51040, 52035, 50286, 50802, 54578, 50824, 51040, 68678, 50824, 51360, 61511, 50956, 51059, 50989, 51059, 51197, 51059, 50906, 63399, 51966, 51029, 51040, 51029, 50989, 75422, 51029, 52591, 51040, 72524, 50823, 51966, 67573, 55720, 54675, 51040, 50823, 51966, 52035, 50310, 67573, 60280, 50816, 54179, 51966, 50823, 51040, 72524, 62406, 53925, 51966, 50823, 51040, 72524, 67573, 55720, 56059, 51966, 50823, 51040, 72234, 50989, 50860, 51224, 55059, 50816, 54554, 51966, 50823, 51040, 72524, 67573, 62183, 52489, 50811, 56404, 63182, 52193, 51966, 68708, 62119, 79482, 51906, 50811, 53628, 52791, 51759, 50976, 50459, 52310, 50811, 54727, 52791, 50817, 57346, 50824, 52318, 50824, 51169, 50817, 74182, 74686, 52394, 50811, 51201, 51184, 51629, 58583, 52448, 56778, 51169, 50817, 74182, 51683, 50803, 52394, 53213, 51169, 50817, 51032, 51625, 68675, 53578, 51169, 50817, 51032, 54987, 52968, 51169, 50811, 51032, 52791, 65765, 52030, 50852, 59786, 51170, 53785, 51176, 50811, 55366, 55364, 52952, 51040, 50817, 52318, 50817, 51169, 50817, 74182, 74686, 52394, 58094, 56119, 50871, 50811, 51140, 50811, 51169, 50817, 74182, 51683, 50803, 52394, 51670, 52940, 50832, 55373, 50989, 50811, 51705, 50811, 51169, 50817, 74182, 74686, 52394, 51670, 50823, 51899, 55115, 55680, 60373, 51098, 50811, 51169, 50817, 74182, 52489, 50811, 56404, 50817, 53880, 52193, 51906, 50803, 53628, 76453, 54934, 50861, 50817, 51098, 50817, 51169, 50817, 74182, 74686, 52394, 50811, 58526, 51059, 55366, 51059, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 50811, 51600, 51184, 51394, 58583, 55115, 56778, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 53213, 51064, 50817, 51316, 54987, 51625, 54433, 51064, 50817, 51316, 54987, 52968, 51064, 50811, 51316, 52791, 65765, 54684, 50852, 59786, 51170, 53785, 50956, 50811, 51560, 55364, 52676, 51176, 50811, 55366, 50811, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 58094, 56119, 51176, 50803, 55366, 50803, 51064, 50811, 51316, 50811, 52425, 50811, 53580, 51670, 52940, 50832, 55373, 50956, 50811, 51560, 50811, 51064, 50811, 51316, 50817, 52425, 50811, 53580, 51670, 50823, 51899, 55115, 62183, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 50817, 52489, 50811, 56404, 52884, 50956, 50811, 51560, 50811, 51906, 50811, 53628, 76453, 54934, 51176, 50811, 55366, 50811, 51064, 50817, 51316, 50817, 52310, 50811, 54727, 50811, 57346, 50824, 52318, 50824, 51169, 50817, 74182, 74686, 52394, 50811, 51201, 51184, 51629, 58583, 55115, 56778, 51169, 50817, 74182, 74686, 52394, 53213, 51169, 50817, 51032, 54987, 51625, 54433, 51169, 50817, 51032, 54987, 52968, 51169, 50817, 51032, 52791, 55115, 52030, 50852, 59786, 51170, 53785, 51176, 50811, 55366, 55364, 52952, 51040, 50811, 52318, 50811, 51169, 50817, 74182, 74686, 52394, 65440, 56119, 50871, 50811, 51140, 50811, 51169, 50817, 74182, 74686, 52394, 51670, 52940, 50832, 55373, 50989, 50811, 51705, 50811, 51169, 50817, 74182, 74686, 52394, 51670, 50823, 51899, 55115, 55680, 60373, 51098, 50811, 51169, 50817, 74182, 52489, 50811, 56404, 52884, 51906, 50811, 53628, 51520, 51759, 54934, 50861, 50817, 51098, 50817, 51169, 50817, 74182, 74686, 52394, 50811, 58526, 51059, 55366, 51059, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 50811, 51600, 51184, 51394, 58583, 52448, 56778, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 53213, 51064, 50817, 51316, 51625, 66350, 51240, 53578, 51064, 50817, 51316, 63863, 51240, 52968, 51064, 50811, 51316, 52791, 65765, 52030, 50852, 59786, 51170, 53785, 50956, 50811, 51560, 55364, 52676, 51176, 50817, 55366, 50817, 51316, 50817, 51064, 50817, 52425, 50811, 53580, 58094, 56119, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 50811, 52425, 50811, 53580, 51670, 52940, 50832, 61443, 50956, 50811, 51560, 50811, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 51670, 50823, 51899, 55115, 55680, 51176, 50811, 55366, 50811, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 52884, 50956, 50817, 51560, 52220, 51759, 60271, 51176, 50817, 55366, 50817, 51064, 50817, 51316, 50817, 58526, 50975, 55366, 50975, 77135, 51629, 51732, 50992, 55311, 56168, 66421, 55344, 53578, 50997, 50993, 52157, 50993, 51064, 50976, 50939, 50975, 51240, 50811, 51694, 65765, 52726, 51040, 50975, 52318, 50975, 51316, 50976, 51125, 55188, 55364, 53785, 51170, 52952, 51320, 55092, 50956, 50975, 51560, 50975, 51549, 50976, 51298, 54482, 66901, 55059, 50798, 53798, 50871, 50811, 51140, 50811, 72222, 51257, 52791, 55115, 52884, 50956, 50811, 51560, 50811, 51549, 50811, 51298, 65440, 50811, 58526, 50975, 55366, 50975, 51169, 50976, 52838, 51795, 50992, 54482, 55115, 66421, 55344, 53578, 50997, 50975, 52157, 50975, 51064, 50976, 50939, 50975, 51240, 50811, 51694, 65765, 52726, 51040, 50976, 52318, 50976, 51316, 50976, 51125, 55188, 55364, 53785, 51170, 52952, 51320, 55092, 50956, 50976, 51560, 50976, 51549, 50802, 51298, 54482, 60681, 51081, 50802, 52317, 74856, 55059, 50798, 52116, 50871, 50811, 51399, 50811, 51140, 50811, 72222, 51257, 52409, 56168, 50811, 53146, 52884, 50956, 50811, 51405, 50811, 51560, 50811, 51549, 50817, 51298, 76453, 50802, 53426, 50811, 59733, 51066, 51040, 50824, 52318, 50824, 51169, 50817, 74182, 51201, 51184, 51629, 58583, 55115, 50860, 51829, 51066, 50417, 51169, 50817, 51032, 52302, 51169, 50817, 51032, 51625, 54433, 51169, 50817, 51032, 52630, 51169, 50811, 51032, 52050, 65765, 54684, 50852, 68675, 53785, 51176, 50811, 55366, 55344, 52952, 51040, 50811, 52318, 50811, 51169, 50817, 51032, 58094, 61870, 50871, 50811, 51140, 50811, 51169, 50817, 51032, 52220, 60681, 50931, 50802, 51859, 52313, 50832, 71921, 53851, 50989, 50811, 51705, 50811, 51169, 50817, 51032, 52220, 69425, 52568, 51147, 52791, 55115, 50860, 52977, 55552, 60373, 51098, 50811, 51169, 50817, 51032, 52193, 50931, 76453, 50802, 51859, 54871, 50861, 50817, 51001, 50975, 51098, 50817, 51169, 50817, 74182, 53088, 50975, 58526, 51059, 55366, 51059, 51064, 50817, 51316, 50817, 51600, 51184, 51394, 58583, 56168, 56778, 51064, 50817, 51316, 52302, 51028, 50824, 51064, 50817, 51316, 51625, 50802, 53245, 64381, 51064, 50817, 51316, 52630, 51064, 50811, 51316, 52050, 65765, 54684, 50852, 54241, 50956, 50811, 51560, 52952, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 58094, 56119, 51176, 50811, 51081, 50975, 55366, 50811, 51064, 50811, 51316, 52220, 50811, 52317, 58919, 50832, 50860, 51240, 53851, 50956, 50811, 51560, 50811, 51064, 50811, 51316, 54987, 51670, 53798, 51399, 52791, 55115, 50802, 53146, 55552, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 52193, 50956, 50811, 51405, 50811, 51560, 76453, 50976, 51170, 50817, 53426, 54871, 51176, 50803, 55366, 50803 ]
[ 0, 250, 2635, 8, 5679, 26709, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 21040, 2426, 483, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 17035, 873, 2401, 6, 8, 6755, 12547, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 16, 163, 428, 6, 12608, 6, 2060, 6, 12608, 6, 163, 428, 406, 4, 20, 15229, 7630, 6568, 10, 19448, 8, 2933, 5466, 6, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 53032, 51047, 79629, 53926, 51047, 57980, 51047, 59191, 51047, 51711, 62976, 55575, 50845, 58314, 53172, 54884, 50845, 58084, 53387, 65574, 50845, 69145, 53264, 54544, 51047, 51395, 51047, 52018, 51047, 55527, 51047, 56199, 51047, 52340, 63897, 55575, 50845, 58314, 53562, 56648, 50845, 65283, 53586, 56833, 50845, 72844, 50845, 50799, 58373, 51422, 51375, 51422, 51720, 51047, 55840, 51047, 55791, 51047, 52255, 75504, 53733, 50845, 55026, 53172, 54884, 50845, 58084, 53387, 59610, 50845, 50714, 50297, 53264, 52053, 51047, 58240, 51047, 56815, 63897, 54884, 50845, 58084, 53562, 54489, 50845, 51165, 50845, 56648, 50845, 65283, 50845, 51863, 53586, 53032, 50845, 51093, 50845, 65574, 50845, 69145, 50845, 51711, 50845, 50799, 55625, 50845, 51488, 50845, 53733, 51047, 55026, 51047, 51186, 50845, 66167, 50845, 55478, 50845, 52414, 54644, 53032, 50845, 51093, 50845, 51133, 50845, 60244, 50845, 54713, 50845, 51711, 53172, 54489, 50845, 51165, 50845, 52022, 50845, 67312, 50845, 60188, 50845, 51863, 53387, 58373, 50845, 51375, 50845, 51271, 50845, 58942, 50845, 55120, 50845, 52255, 53264, 56026, 50915, 58373, 50915, 51154, 50915, 51375, 50915, 58943, 50915, 53733, 50915, 58477, 50915, 55026, 50915, 52053, 50915, 58240, 50915, 56815, 50915, 51743, 50915, 52255, 55247, 66023, 50915, 54890, 50915, 51426, 50915, 51088, 50915, 58943, 50915, 55575, 50915, 58477, 50915, 58314, 50915, 52053, 50915, 58240, 50915, 56815, 50915, 52402, 50915, 51615, 50915, 50799, 58373, 51047, 51375, 51047, 51325, 51047, 50694, 50276, 51047, 57980, 51047, 52255, 62976, 54884, 50845, 58084, 53172, 55575, 50845, 58314, 53387, 54884, 50845, 58084, 53264, 54489, 51145, 51165, 51145, 52053, 51145, 58240, 51145, 56815, 51145, 51863, 70190, 58943, 50892, 58477, 54058, 53733, 50892, 55026, 54771, 58943, 50892, 58477, 50892, 50799, 53032, 51148, 51093, 51148, 53926, 51148, 57980, 51148, 59191, 51148, 51711, 72442, 55575, 50905, 58314, 54335, 55321, 50905, 55988, 54342, 55575, 50905, 58314, 54137, 54489, 51244, 51165, 51244, 52053, 51244, 58240, 51244, 56815, 51244, 51863, 79098, 58943, 50974, 58477, 56697, 53733, 50974, 55026, 56711, 58943, 50974, 58477, 50974, 50799, 54884, 51080, 58084, 51080, 51325, 51080, 50694, 50276, 51080, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50827, 58373, 50827, 75437, 50992, 54889, 54489, 50827, 54489, 50827, 72443, 50939, 52739, 53032, 50838, 53032, 50838, 51093, 65545, 50827, 50909, 52718, 53032, 50838, 53032, 50838, 51093, 50838, 55575, 51080, 53370, 51080, 58314, 51080, 54601, 51080, 52053, 51080, 58240, 51080, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 50992, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 58373, 51283, 58373, 51283, 51375, 51283, 53733, 51080, 55026, 51080, 52022, 51080, 67312, 51080, 50992, 79309, 54489, 50827, 54489, 50827, 72443, 50939, 53720, 58373, 50827, 58373, 50827, 75437, 50992, 52788, 53032, 51080, 53032, 51080, 51093, 51080, 65574, 50932, 55575, 50932, 69145, 50932, 58314, 50932, 53926, 50932, 57980, 50932, 50909, 66405, 56648, 50838, 65283, 50838, 51213, 50838, 52022, 50838, 50694, 50274, 53581, 60383, 50838, 61228, 50838, 50953, 50838, 51271, 50838, 50694, 50275, 50838, 50799, 54884, 51080, 58084, 51080, 51325, 51080, 52053, 51080, 50694, 50276, 51080, 57980, 51080, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50827, 58373, 50827, 75437, 50992, 54889, 54489, 50827, 54489, 50827, 72443, 50939, 52739, 53032, 50838, 53032, 50838, 51093, 62431, 52718, 53032, 50838, 53032, 50838, 51093, 50838, 55575, 51080, 53370, 51080, 58314, 51080, 54601, 51080, 52053, 51080, 62027, 51080, 58240, 51080, 56815, 51080, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 50992, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 56026, 51080, 56026, 51080, 51154, 51080, 65574, 51080, 69145, 51080, 52022, 51080, 53926, 51080, 67312, 51080, 60188, 51080, 50872, 60934, 54890, 51080, 54890, 51080, 51088, 51080, 56648, 51080, 65283, 51080, 52053, 50932, 58240, 50932, 50847, 66405, 52053, 50838, 58240, 53581, 51105, 50838, 50694, 50271, 50838, 50799, 54884, 51080, 58084, 51080, 51325, 51080, 50694, 50276, 51080, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50838, 58373, 50838, 51375, 61942, 53052, 54489, 50827, 54489, 50827, 72443, 50939, 53720, 53032, 50827, 53032, 50827, 72756, 50909, 52788, 53032, 50838, 53032, 50838, 51093, 50838, 55575, 51080, 53370, 51080, 58314, 51080, 54601, 51080, 52053, 51080, 62027, 51080, 58240, 51080, 56815, 51080, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 50992, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 58373, 51283, 58373, 51283, 51375, 51283, 53733, 51080, 55026, 51080, 52022, 51080, 67312, 51080, 60188, 51080, 50992, 79309, 53141, 50827, 53141, 50827, 51201, 50827, 51257, 53720, 53141, 50827, 53141, 50827, 51201, 50827, 51257, 52788, 54544, 50827, 54544, 51283, 78805, 54884, 51080, 55575, 51080, 58084, 51080, 58314, 51080, 53926, 51080, 57980, 51080, 59191, 51080, 51298, 55608, 54489, 50827, 72443, 50939, 53086, 53032, 70491, 50932, 50909, 56109, 55625, 50838, 55625, 50838, 51488, 79222, 50838, 50799, 53032, 50827, 58373, 51381, 72756, 55575, 51080, 58314, 51080, 51325, 50932, 50694, 50276, 50932, 57980, 50932, 56031, 50417, 54489, 50827, 72443, 50939, 53004, 58373, 50932, 51375, 50932, 50992, 54869, 51133, 50932, 60244, 50932, 54713, 55665, 53032, 50838, 53032, 50838, 51093, 62431, 52718, 66023, 51283, 66023, 51283, 51426, 51283, 56648, 51080, 58943, 51080, 65283, 51080, 58477, 51080, 52053, 51080, 53926, 51080, 58240, 51080, 56815, 51080, 50979, 51283, 50456, 56026, 50827, 56026, 50827, 51154, 50827, 50872, 54529, 58373, 50827, 58373, 50827, 75437, 61388, 50799, 58373, 51080, 58373, 51080, 51375, 51080, 54884, 51080, 55575, 51080, 58084, 51080, 58314, 51080, 51325, 51283, 50694, 50276, 51283, 57980, 51283, 50992, 74521, 52053, 50838, 58240, 50838, 56815, 52718, 63293, 50827, 51491, 50827, 51213, 50932, 52646, 50932, 50694, 50274, 50932, 66168, 50932, 50944, 55608, 76859, 50827, 51638, 50827, 51037, 53086, 50673, 50305, 50827, 51794, 50827, 51017, 54043, 58373, 50827, 75437, 50992, 52989, 56026, 50827, 51154, 50827, 51228, 50932, 52022, 50932, 67312, 50932, 50872, 55371, 50673, 50300, 50827, 52316, 50827, 51396, 53176, 50673, 50305, 50827, 51794, 50827, 51017, 54529, 56026, 50827, 51154, 50827, 56401, 50799, 54884, 51080, 58084, 51080, 51325, 51283, 53926, 51283, 50694, 50276, 51283, 57980, 51283, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50827, 58373, 50827, 75437, 50992, 54889, 54489, 50827, 54489, 50827, 72443, 50939, 52739, 53032, 50838, 53032, 50838, 51093, 50838, 51325, 50838, 50694, 50276, 62431, 52718, 53032, 50838, 53032, 50838, 51093, 50838, 53370, 51080, 54601, 51080, 52053, 51283, 62027, 51283, 58240, 51283, 56815, 51283, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 52053, 50838, 58240, 61942, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 58373, 51283, 58373, 51283, 51375 ]
[ 0, 250, 19448, 8, 5679, 26709, 5175, 19834, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 155, 73, 398, 86, 6543, 4, 20, 2125, 3136, 23, 10, 2635, 226, 22740, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 7125, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 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, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50621, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 64252, 50998, 55451, 56488, 52323, 66530, 50929, 51160, 60434, 54901, 50970, 52422, 50970, 55224, 50986, 52322, 51131, 52692, 56488, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 63965, 57998, 50929, 52692, 56406, 52323, 61446, 50986, 69171, 50970, 63492, 62867, 52323, 50621, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 64252, 50998, 55451, 56488, 52323, 66530, 50929, 51160, 60434, 54901, 50970, 52422, 50970, 55224, 50986, 52322, 51131, 52692, 56488, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 63965, 57998, 50929, 52692, 56406, 52323, 61446, 50986, 69171, 50970, 63492, 62867, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 80161, 60183, 50415, 50960, 51196, 50416, 50970, 70599, 75563, 51076, 53585, 58208, 59100, 62569, 52323, 63642, 50415, 79184, 50416, 51067, 56003, 57998, 58308, 51032, 53585, 51032, 51538, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 71888, 51076, 68381, 50960, 51157, 50416, 50970, 51346, 50420, 51563, 52483, 51563, 52605, 50947, 52446, 51207, 50805, 51076, 66326, 50960, 50938, 50440, 50970, 60204, 51067, 50805, 52323, 51725, 50889, 50415, 50970, 51157, 50416, 51067, 51346, 50426, 66776, 74313, 51032, 50889, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 80161, 60183, 50415, 50960, 51196, 50416, 50970, 70599, 75563, 51076, 53585, 58208, 59100, 62569, 52323, 63642, 50415, 79184, 50416, 51067, 56003, 57998, 58308, 51032, 53585, 51032, 51538, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 71888, 51076, 68381, 50960, 51157, 50416, 50970, 51346, 50420, 51563, 52483, 51563, 52605, 50947, 52446, 51207, 50805, 51076, 66326, 50960, 50938, 50440, 50970, 60204, 51067, 50805, 52323, 51725, 50889, 70804, 51067, 55385, 50621, 50426, 50621, 66776, 74313, 51032, 52605, 50620, 51076, 52446, 50620, 51032, 52815, 51064, 50805, 52323, 50621, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 64252, 50998, 55451, 56488, 52323, 66530, 50929, 51160, 60434, 54901, 50970, 52422, 50970, 55224, 50986, 52322, 51131, 52692, 56488, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 72101, 50621, 50986, 54901, 51064, 52422, 50621, 51064, 55224, 50620, 50986, 52322, 50620, 63965, 57998, 50929, 52692, 56406, 52323, 61446, 50986, 69171, 50970, 63492, 62867, 52323, 50621, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 53271, 50889, 51032, 54243, 51246, 50889, 74175, 51064, 61086, 74175, 70804, 52323, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 51246, 50889, 51064, 78034, 50960, 72265, 53271, 50889, 52323, 50621, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 53271, 50889, 51032, 54243, 51246, 50889, 74175, 51064, 61086, 74175, 70804, 52323, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 51246, 50889, 51064, 78034, 50960, 72265, 53271, 50889, 52323, 51207, 51077, 51064, 68381, 50960, 64739, 51032, 52483, 51064, 53912, 71888, 74175, 51064, 50889, 52323, 52028, 50889, 50415, 50947, 51157, 50416, 51067, 51346, 50426, 52028, 50889, 69160, 51067, 50889, 52323, 51207, 51077, 51067, 68381, 51064, 64739, 51549, 52483, 51067, 53912, 71888, 51064, 50889, 51563, 50889, 52323, 74175, 50415, 51064, 51157, 50416, 51563, 51346, 50426, 51444, 50889, 69160, 51786, 50889, 52323, 51207, 51077, 51067, 50889, 50415, 51438, 72265, 51563, 53847, 51438, 53513, 51032, 50805, 51549, 53913, 71888, 51076, 50889, 51067, 50889, 52323, 66776, 51076, 68381, 51067, 61555, 51032, 50805, 51549, 52483, 51032, 50805, 51549, 52605, 51725, 52446, 53805, 50889, 52323, 51444, 51077, 69160, 50415, 51067, 61555, 51032, 52483, 66976, 51064, 53912, 51444, 50889, 66776, 51078, 50889, 69160, 52323, 51207, 51077, 66776, 50415, 51078, 51157, 50416, 50947, 51346, 50426, 51246, 50889, 66976, 52323, 51207, 51077, 51064, 68381, 50960, 64739, 51032, 52483, 51064, 53912, 71888, 74175, 51064, 50889, 52323, 52028, 50889, 50415, 50947, 51157, 50416, 51067, 51346, 50426, 52028, 50889, 69160, 51067, 50889, 52323, 51207, 51077, 51067, 68381, 51064, 64739, 51549, 52483, 51067, 53912, 71888, 51064, 50889, 51563, 50889, 52323, 74175, 50415, 51064, 51157, 50416, 51563, 51346, 50426, 51444, 50889, 69160, 51786, 50889, 52323, 51207, 51077, 51067, 50889, 50415, 51438, 72265, 51563, 53847, 51438, 53513, 51032, 50805, 51549, 53913, 71888, 51076, 50889, 51067, 50889, 52323, 66776, 51076 ]
[ 0, 4688, 5175, 25771, 2214, 19, 10, 1769, 20889, 9, 18461, 163, 5683, 6, 4246, 10, 3366, 219, 8, 15352, 30054, 5466, 4, 16241, 212, 9590, 6, 21072, 6, 3459, 8669, 6, 18558, 10, 25118, 6, 8, 38668, 22052, 283, 561, 7, 1045, 10, 980, 219, 8, 20425, 2369, 18795, 4, 20, 2125, 16, 11, 5, 762, 9, 83, 3694, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 53028, 75011, 50841, 51570, 53083, 52261, 50799, 54511, 52204, 53733, 52204, 53818, 52204, 50796, 50796, 52591, 51229, 55889, 51229, 57748, 51229, 59646, 51229, 54630, 51229, 57006, 51229, 57939, 51229, 50938, 50799, 51408, 60647, 51229, 57316, 51209, 58466, 51229, 51343, 52591, 51229, 55889, 51229, 59099, 51229, 59646, 51229, 60021, 51229, 58138, 51229, 59349, 51229, 50938, 50799, 51408, 63817, 51334, 58798, 51390, 59099, 51229, 51073, 50444, 51209, 58138, 51256, 51227, 50799, 54884, 52204, 54924, 52204, 53370, 52204, 51209, 72107, 51366, 51685, 76501, 51229, 50980, 50799, 56648, 52204, 54511, 52204, 51209, 72107, 51322, 51685, 61627, 51209, 60835, 51209, 57099, 51256, 58603, 51366, 50924, 50799, 54511, 52204, 53733, 52204, 53818, 52204, 52383, 50828, 51322, 51192, 50920, 57503, 50820, 53321, 57918, 59338, 52383, 55004, 53332, 53109, 50920, 59317, 54689, 52505, 60369, 52823, 57503, 55477, 52005, 55739, 52383, 55004, 57918, 58255, 50920, 53332, 53439, 52505, 52793, 59317, 55108, 52383, 52793, 57503, 50820, 54234, 57918, 60226, 52383, 55004, 53332, 53528, 50920, 59317, 55256, 52505, 60369, 52823, 57503, 55223, 52005, 55647, 52383, 55004, 57918, 60550, 50920, 53332, 54026, 52505, 52793, 59317, 50971, 71861, 50828, 52383, 54940, 57503, 55138, 52383, 55004, 57918, 59338, 52383, 50836, 54238, 55004, 53332, 53109, 52383, 54940, 59317, 54689, 52505, 50828, 52383, 58972, 52823, 57503, 55477, 52005, 55739, 52383, 50836, 54238, 55004, 57918, 58255, 52383, 54940, 53332, 53439, 52505, 50828, 52383, 55004, 59317, 55108, 52383, 50828, 54238, 55004, 57503, 50820, 54234, 57918, 60226, 52383, 55004, 53332, 53528, 50920, 59317, 55256, 52505, 60369, 52823, 57503, 55223, 52005, 55647, 52383, 55004, 57918, 60550, 50920, 53332, 54026, 52505, 52793, 59317, 50971, 71861, 53704, 54545, 57503, 50820, 53321, 57918, 59338, 52383, 55004, 53332, 53109, 50920, 59317, 54689, 52505, 53704, 64116, 52823, 57503, 55477, 52005, 55739, 52383, 55004, 57918, 58255, 50920, 53332, 53439, 52505, 52793, 59317, 55108, 52383, 53704, 54545, 57503, 50820, 54234, 57918, 60226, 52383, 55004, 53332, 53528, 50920, 59317, 55256, 52505, 53704, 64116, 52823, 57503, 55223, 52005, 55647, 52383, 55004, 57918, 60550, 50920, 53332, 54026, 52505, 52793, 59317, 50971, 71861, 50828, 54238, 54355, 54545, 57503, 55138, 54238, 55004, 57918, 59338, 52383, 50836, 55684, 55004, 53332, 53109, 54238, 54940, 59317, 54689, 52505, 50828, 54238, 53243, 64116, 52823, 57503, 55477, 52005, 55739, 52383, 50836, 55684, 55004, 57918, 58255, 54238, 54940, 53332, 53439, 52505, 50828, 54238, 55004, 59317, 55108, 50770, 50321, 64270, 50949, 51955, 57143, 52005, 50841, 50799, 54884, 52204, 53818, 51449, 52595, 50828, 55387, 50825, 52595, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 53509, 50825, 52595, 55004, 57918, 59338, 54510, 50825, 52595, 50836, 53509, 55153, 54299, 55819, 53332, 53109, 54559, 50825, 52595, 54940, 50369, 52752, 64274, 54689, 51874, 50828, 55279, 50825, 52595, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 56309, 50825, 52595, 50836, 53509, 55004, 57918, 58255, 59907, 50825, 52595, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 51874, 50828, 78094, 50825, 52595, 55004, 59317, 67009, 51170, 54927, 52595, 50828, 50689, 50337, 50825, 53509, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 78094, 52523, 57918, 60226, 59907, 50825, 52595, 55153, 58071, 63862, 66691, 55819, 53332, 53528, 56309, 52523, 59317, 55256, 51874, 50828, 55279, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 54559, 50825, 52595, 55004, 57918, 60550, 54510, 54778, 58071, 63862, 64541, 56071, 53332, 54026, 51874, 50828, 53509, 52523, 50369, 52752, 58869, 68358, 51170, 50941, 50799, 54924, 51449, 53370, 52204, 52042, 50828, 54170, 50825, 52042, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 55387, 50825, 52042, 55004, 57918, 59338, 54170, 50825, 52042, 50836, 55387, 55153, 55991, 53332, 53109, 54242, 50825, 52042, 54940, 50369, 52752, 64274, 64179, 51240, 53881, 52401, 50828, 54559, 50825, 52042, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 54979, 50825, 52042, 50836, 55387, 55004, 57918, 58255, 58103, 50825, 52042, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 52401, 50828, 59907, 50825, 52042, 55004, 59317, 67009, 51170, 54927, 52042, 50828, 63933, 50825, 55387, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 50689, 50335, 52523, 57918, 60226, 63933, 50825, 52042, 55153, 56854, 55819, 53332, 53528, 59907, 52523, 59317, 55256, 52401, 50828, 58103, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 54979, 50825, 52042, 55004, 57918, 51297, 50454, 51170, 55835, 54559, 54778, 53821, 53332, 54026, 52401, 50828, 54242, 52523, 50369, 52752, 58869, 75003, 50941, 50799, 54511, 51449, 53949, 51449, 53207, 50828, 54238, 50825, 53207, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 54242, 50825, 53207, 55004, 57918, 59338, 53604, 50825, 53207, 50836, 54242, 55153, 54299, 55819, 53332, 53109, 55684, 50825, 53207, 54940, 50369, 52752, 64274, 54689, 52020, 50828, 58103, 50825, 53207, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 61533, 50825, 53207, 50836, 54242, 55004, 57918, 58255, 61106, 50825, 53207, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 52020, 50828, 50689, 50335, 50825, 53207, 55004, 59317, 67009, 51170, 54927, 53207, 50828, 50689, 50338, 50825, 54242, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 50689, 50335, 52523, 57918, 60226, 61106, 50825, 53207, 55153, 58071, 63862, 66691, 55819, 53332, 53528, 61533, 52523, 59317, 55256, 52020, 50828, 58103, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 55684, 50825, 53207, 55004, 57918, 60550, 53604, 54778, 58071, 63862, 64541, 56071, 53332, 54026, 52020, 50828, 54242, 52523, 50369, 52752, 58869, 68358, 51170, 50941, 50799, 54884, 52204, 54924, 51449, 53818, 51314, 52042, 50828, 54170, 50825, 52042, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 55387, 50825, 52042, 55004, 57918, 59338, 54170, 50825, 52042, 50836, 55387, 55153, 55991, 53332, 53109, 54510, 50825, 52042, 54940, 50369, 52752, 64274, 64179, 51240, 53881, 52401, 50828, 54559, 50825, 52042, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 54979, 50825, 52042, 50836, 55387, 55004, 57918, 58255, 56309, 50825, 52042, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 52401, 50828, 59907, 50825, 52042, 55004, 59317, 67009, 51170, 54927, 53370, 51314, 52042, 50828, 63933, 50825, 55387, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 50689, 50335, 52523, 57918, 60226, 63933, 50825, 52042, 55153, 56854, 55819, 53332, 53528, 59907, 52523, 59317, 55256, 52401, 50828, 58103, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 54979, 50825, 52042, 55004, 57918, 51297, 50454, 51170, 55835, 54559, 54778, 53821, 53332, 54026, 52401, 50828, 54242, 52523, 50369, 52752, 58869, 75003, 50941, 50799, 53733, 51449, 53818, 51449, 52595, 50828, 53509, 50825, 52595, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 55387, 50825, 52595, 55004, 57918, 59338, 53509, 50825, 52595, 50836, 53509, 55153, 54299, 55819, 53332, 53109, 54510, 50825, 52595, 54940, 50369, 52752, 64274, 54689, 51874, 50828, 54559, 50825, 52595, 53243, 64116, 53434, 54419, 57503, 55477, 52005 ]
[ 0, 250, 13363, 28191, 5175, 25771, 2125, 14, 36193, 5, 30443, 7, 10, 18747, 9, 36474, 13005, 8, 22845, 41708, 4, 590, 10, 20889, 9, 21234, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 30853, 11, 230, 538, 6, 10346, 30, 10, 6755, 12547, 6, 16867, 6, 13305, 6, 38668, 9590, 6, 8, 38668, 2236, 4, 20, 33215, 16739, 9, 230, 119, 6, 12608, 6, 272, 119, 6, 2060, 119, 1176, 406, 6, 8, 211, 406, 3639, 5581, 7, 5, 3366, 219, 5466, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 8, 26545, 1328, 5, 5679, 26709, 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 ]	[ 56236, 50461, 64885, 51359, 56103, 51050, 52727, 50876, 51965, 55961, 54861, 65099, 51832, 62144, 51737, 50428, 50729, 50317, 51851, 50430, 61264, 51851, 59409, 55586, 73111, 51319, 50434, 64436, 79106, 64905, 61389, 61779, 51297, 50440, 50729, 50324, 51128, 50442, 71801, 57522, 62920, 52335, 50461, 60691, 51359, 57551, 52503, 50906, 51115, 53502, 54298, 54439, 60484, 50906, 52980, 50440, 71801, 74965, 50729, 50324, 62232, 61779, 77388, 64905, 51128, 50448, 73111, 60801, 61264, 79949, 65099, 61164, 50461, 58366, 51359, 55881, 51922, 50906, 78374, 50626, 50900, 54861, 56040, 54861, 58319, 54861, 63808, 55812, 50456, 50871, 58247, 58222, 50461, 66264, 51359, 57211, 51360, 52727, 50965, 51310, 66650, 67016, 50624, 50900, 51387, 58783, 55812, 62204, 51432, 55513, 51387, 61779, 77388, 64905, 51128, 50448, 73111, 51128, 56415, 51466, 61264, 79949, 65099, 52503, 75152, 51466, 50461, 55793, 52250, 53997, 51922, 50965, 79311, 50623, 50997, 52441, 61104, 52034, 76567, 54938, 50861, 70190, 50621, 50900, 63050, 50876, 52011, 50729, 50329, 51306, 50451, 61454, 51258, 50452, 74147, 51258, 50453, 64351, 51258, 50454, 61934, 76344, 72787, 56077, 63689, 51129, 50457, 74637, 73966, 68226, 60078, 70524, 77054, 50729, 50339, 60323, 66933, 51445, 57333, 51050, 52727, 50876, 51965, 55961, 54861, 62144, 51737, 59409, 52025, 52253, 61169, 52253, 52841, 50871, 54861, 50442, 52253, 52597, 50876, 52618, 50447, 52253, 66563, 50931, 69513, 50876, 51737, 57551, 52503, 68275, 53502, 55002, 54439, 60484, 50906, 51376, 52253, 50897, 55203, 55812, 50439, 52253, 70981, 52253, 59352, 50876, 52618, 50449, 52253, 51127, 50450, 50951, 69513, 50876, 51737, 55881, 51922, 50876, 50915, 53502, 54298, 53645, 60484, 50877, 51376, 52253, 52841, 50900, 54861, 52253, 50897, 50443, 52253, 50917, 57428, 55812, 50450, 50931, 51387, 52544, 66313, 50876, 51737, 50459, 52253, 72914, 58366, 52121, 57497, 52727, 50876, 71215, 52253, 51191, 56759, 51387, 58783, 51376, 50435, 52685, 58316, 52253, 53116, 50906, 50915, 52685, 51351, 57428, 55812, 50450, 50965, 50974, 50452, 54072, 51397, 50456, 50906, 51218, 57497, 52727, 56363, 51432, 56040, 51387, 50428, 52685, 54259, 50861, 55812, 50435, 52685, 56057, 50906, 51432, 50439, 54072, 58937, 51028, 51387, 52464, 51103, 65851, 51466, 72786, 51466, 50461, 66264, 51293, 53997, 51922, 50965, 51310, 66650, 52441, 56040, 52034, 50427, 52253, 53695, 50965, 50972, 50433, 52253, 62657, 52685, 52841, 51001, 51145, 50440, 52253, 65891, 52685, 54746, 50876, 51387, 50446, 54072, 76630, 50965, 69173, 50956, 50972, 50461, 60515, 51293, 57497, 51922, 50871, 60115, 51176, 52441, 50421, 52253, 50938, 53645, 74448, 52253, 52749, 50876, 50972, 50434, 52253, 53470, 50931, 51145, 50440, 52544, 68247, 50876, 51387, 50448, 52253, 51377, 50450, 50965, 69173, 50871, 50972, 50458, 52253, 62659, 60691, 51145, 54795, 51703, 50997, 51145, 50416, 52253, 51413, 55961, 52441, 77718, 50906, 57524, 51028, 50972, 50437, 55793, 53082, 62275, 51703, 50965, 50981, 52685, 51377, 66626, 51387, 50447, 50621, 50449, 54072, 53562, 50861, 50995, 50455, 52464, 62034, 50900, 50972, 57333, 51050, 52727, 50876, 51148, 55961, 51737, 52253, 66031, 52253, 52710, 50861, 51737, 50430, 52253, 57066, 50965, 51387, 50435, 52253, 51103, 55203, 51447, 50461, 52133, 52121, 57551, 52503, 68275, 55902, 51697, 52253, 55640, 50965, 51387, 50427, 52253, 64123, 52253, 50937, 51615, 51803, 63931, 51074, 50437, 53857, 51183, 55203, 51490, 50458, 51711, 52644, 55881, 51922, 76417, 57340, 51697, 52253, 52710, 50906, 51387, 52253, 50897, 50431, 52253, 51100, 59409, 51074, 55203, 51387, 52544, 51204, 57428, 67427, 50931, 77765, 52253, 59960, 50876, 51737, 50459, 52253, 72914, 53100, 52121, 57497, 52727, 50876, 62976, 52253, 51191, 56759, 51387, 58783, 51376, 50435, 53859, 62439, 52253, 58414, 51743, 56692, 50906, 50915, 52685, 51351, 57428, 51737, 50449, 52255, 57105, 50965, 51097, 50452, 54072, 51115, 50461, 51615, 53454, 57497, 52727, 50906, 50943, 56363, 51432, 56040, 50907, 50428, 52685, 77840, 50871, 54661, 50861, 56857, 50965, 50912, 52685, 56057, 70181, 50439, 54072, 50937, 50441, 50876, 54947, 64920, 52464, 51218, 50447, 51001, 53567, 50931, 60201, 50951, 53176, 51147, 54529, 51081, 65736, 52133, 52121, 53997, 51922, 51081, 51127, 50421, 52253, 50917, 56040, 51074, 50430, 52253, 52749, 50965, 50972, 50436, 52253, 75094, 52340, 57937, 51001, 51145, 50442, 52685, 54247, 50876, 51310, 50445, 54072, 50915, 50449, 51711, 50943, 50461, 52255, 51313, 57497, 51922, 50965, 51295, 66650, 51166, 50421, 52253, 50938, 53645, 52980, 50429, 52253, 52749, 50876, 50972, 50434, 52253, 64967, 50931, 51145, 50440, 52544, 68247, 50876, 51387, 50448, 52253, 51377, 50450, 50965, 59435, 50871, 50972, 50458, 52253, 76888, 55793, 51449, 51863, 51080, 57530, 51085, 51922, 50965, 51477, 50416, 52253, 51189, 53502, 58309, 50623, 50916, 57524, 50965, 50972, 50437, 51711, 51283, 62335, 51965, 52253, 51377, 55513, 51387, 50447, 50621, 50449, 50619, 52685, 51025, 56222, 50905, 56236, 52730, 50846, 52049, 50857, 53324, 50857, 51975, 66277, 55189, 67729, 52049, 50904, 53324, 50886, 51975, 53272, 62346, 52049, 50857, 53324, 50813, 51975, 50857, 51887, 50811, 51375, 50811, 51690, 52726, 52049, 50904, 53324, 50864, 51975, 55643, 55189, 52841, 52730, 50846, 52049, 50857, 53324, 50857, 51975, 58545, 55189, 51264, 50444, 52049, 50864, 53324, 50886, 51975, 52743, 52049, 50857, 53324, 50857, 51975, 54199, 52049, 50864, 53324, 50864, 51975, 50886, 50799, 52049, 50813, 53324, 50813, 51975, 54657, 52049, 50864, 53324, 50864, 51975, 53935, 52049, 50857, 53324, 50813, 51975, 53705, 52632, 50865, 52049, 50864, 53324, 50886, 51975, 50886, 52481, 50811, 51375, 50811, 51690, 52952, 52049, 50862, 53324, 50862, 51975, 53524, 52049, 50864, 53324, 50886, 51975, 54105, 55189, 50805, 52049, 50862, 53324, 50862, 51975, 54319, 52730, 50808, 52049, 50835, 53324, 50867, 51975, 50829, 50799, 55189, 51157, 52292, 50813, 53324, 50813, 51975, 54657, 52292, 50864, 53324, 50864, 51975, 53935, 55189, 50849, 52292, 50857, 53324, 50813, 51975, 53705, 52730, 50938, 52292, 50864, 53324, 50886, 51975, 53980, 55189, 50807, 52292, 50862, 53324, 50862, 51975, 53524, 52292, 50864, 53324, 50886, 51975, 54105, 55189, 50873, 52292, 50862, 53324, 50862, 51975, 54319, 52730, 50937, 52292, 50835, 53324, 50867, 51975, 50829, 50799, 52730, 51141, 53334, 50813, 52049, 50813, 51975, 54657, 53334, 50864, 52049, 50864, 51975, 53935, 53334, 50857, 52049, 50813, 51975, 53705, 53761, 50808, 53334, 50864, 52049, 50886, 51975, 53980, 53761, 50808, 53334, 50862, 52049, 50862, 51975, 56714, 53859, 52597, 52253, 51103, 53334, 50864, 52049, 50886, 51975, 54105, 53334, 50862, 52049, 50862, 51975, 54319, 54679, 50865, 53334, 50835, 52049, 50867, 51975, 50829, 53623, 50811, 51093, 50811, 51304, 50811, 69716, 50865, 53882, 50813, 52292, 50813, 52342, 50857, 53599, 50811, 51093, 50811, 51304, 53213, 53882, 50864, 52292, 50864, 52342, 53935, 53882, 50857, 52292, 50813, 52342, 53705, 53882, 50864, 52292, 50886, 52342, 53980, 52544, 50812, 53882, 50862, 52292, 50862, 52342, 53524, 52544, 50897, 53882, 50864, 52292, 50886, 52342, 54105, 52544, 50897, 53882, 50862, 52292, 50862, 52342, 54319, 52544, 51116, 53882 ]
[ 0, 250, 2635, 12, 20764, 3495, 657, 2214, 278, 11, 5, 762, 9, 211, 538, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 4801, 13410, 228, 2289, 6, 42, 15352, 30054, 1011, 625, 7630, 6568, 10, 1372, 8, 8728, 1619, 5466, 6, 25, 5, 40286, 163, 119, 6, 381, 406, 6, 8, 272, 73, 250, 18399, 4704, 5, 30443, 149, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50415, 65735, 50973, 51047, 74655, 51146, 51077, 51598, 51080, 50421, 70990, 72513, 51806, 50433, 50899, 51709, 50439, 50973, 51267, 51146, 51189, 50861, 51314, 50902, 51148, 51598, 51244, 50445, 50877, 50972, 50451, 50973, 50974, 50457, 78980, 50876, 51254, 50460, 51220, 50808, 51601, 50973, 55332, 78989, 52845, 50299, 51310, 50973, 51486, 50902, 51486, 51598, 60922, 65334, 51842, 50421, 50899, 51806, 51086, 51148, 50427, 65735, 50899, 50915, 50428, 51842, 50433, 70990, 50861, 51318, 79807, 51709, 50899, 59401, 73052, 51970, 50445, 50973, 51310, 50451, 50973, 62543, 51199, 50902, 51709, 50861, 61701, 65674, 51970, 50457, 50876, 77973, 50901, 57796, 50863, 51601, 50973, 55332, 78989, 71169, 51295, 50973, 51486, 50902, 51161, 51598, 60922, 70325, 51970, 50421, 70990, 51086, 51148, 72513, 52056, 50899, 50981, 50428, 51960, 50433, 50899, 51806, 50861, 51310, 79807, 51709, 50899, 59401, 73052, 51842, 50445, 50973, 51115, 50451, 50973, 64675, 51199, 50902, 51709, 50861, 61737, 65674, 51960, 50457, 50876, 69887, 50892, 57796, 50870, 51601, 50973, 62543, 64306, 52026, 50299, 51318, 50973, 51538, 50902, 51538, 51598, 70153, 65597, 51970, 50421, 50899, 51709, 51086, 51183, 72513, 51709, 50899, 50995, 50428, 51970, 50433, 50899, 63869, 51295, 79807, 51709, 50899, 68432, 73052, 51983, 50445, 50973, 51295, 50451, 50973, 55332, 51199, 50902, 51709, 50861, 63184, 79857, 51842, 50457, 50876, 77973, 50892, 57796, 50863, 51601, 50899, 63257, 70651, 52026, 50304, 51318, 50999, 68900, 51103, 50931, 51103, 51598, 63346, 70325, 51983, 50421, 62440, 50899, 51310, 50427, 70179, 50871, 50915, 50428, 51983, 50433, 50871, 67891, 77046, 51086, 66228, 54828, 73790, 51310, 50861, 51314, 50931, 51103, 50902, 51103, 51598, 63346, 69864, 51970, 50445, 50877, 51853, 50315, 51115, 50451, 50973, 62543, 62771, 79857, 51842, 50457, 50876, 52169, 50306, 50892, 57796, 50863, 51601, 50916, 52104, 50299, 52845, 50304, 51310, 50900, 51077, 50973, 71651, 51896, 50861, 51894, 51704, 52071, 50798, 65334, 51960, 50421, 51085, 52104, 50296, 51148, 50427, 51315, 52104, 50299, 51003, 50428, 51970, 50433, 51026, 71451, 51115, 50439, 50900, 51283, 50861, 66646, 69864, 51983, 50445, 50899, 78912, 51310, 50451, 50916, 68996, 62771, 67940, 51842, 50457, 50900, 51962, 50310, 61434, 52415, 50299, 50901, 51704, 50866, 57796, 50837, 51601, 50916, 51853, 50299, 63085, 51318, 50900, 51127, 50973, 71651, 51623, 50861, 51605, 51704, 52071, 50798, 65597, 51970, 50421, 51085, 51853, 50296, 51148, 50427, 51315, 51712, 50299, 50995, 50428, 51468, 50433, 51026, 69476, 51115, 50439, 50900, 51283, 50861, 68432, 69864, 51970, 50445, 50899, 62215, 51318, 50451, 50916, 61528, 61737, 67940, 51970, 50457, 50900, 73446, 65327, 52434, 50299, 50892, 51704, 50987, 57796, 50870, 51601, 50989, 68589, 52454, 50301, 76602, 51295, 50899, 74882, 51103, 50876, 50918, 51507, 60881, 65334, 51970, 50421, 51120, 51260, 50298, 51148, 50427, 51378, 51712, 50301, 50995, 50428, 51960, 50433, 51027, 61566, 51115, 50439, 50902, 62159, 68691, 71004, 51295, 51507, 73013, 73052, 51970, 50445, 50968, 66982, 51310, 50451, 50861, 57669, 67734, 59537, 51003, 51785, 50987, 50903, 68317, 51960, 50457, 51027, 71274, 57254, 60358, 50974, 52413, 50866, 57796, 50837, 51601, 52252, 51145, 52471, 51148, 50973, 62543, 64306, 71169, 51318, 50973, 51103, 50902, 51103, 51598, 54805, 65334, 51956, 50421, 50899, 51709, 51086, 51115, 50422, 51960, 72513, 51380, 50899, 51003, 50428, 51956, 50433, 50861, 62035, 51199, 50434, 51468, 50439, 52252, 51148, 52471, 51145, 51086, 64449, 56135, 52454, 50306, 51318, 50861, 51244, 50902, 51077, 51598, 51336, 50440, 51762, 50445, 50877, 61418, 51115, 64979, 57471, 50891, 57048, 57136, 50973, 65721, 56951, 70000, 50876, 69887, 70634, 51289, 54162, 50818, 51601, 52252, 51353, 52471, 51151, 50973, 57777, 56931, 63821, 51800, 50299, 51310, 50973, 51161, 51598, 51189, 67779, 65533, 51762, 50421, 50902, 51109, 51086, 51145, 50422, 51842, 50427, 63775, 50899, 58799, 68016, 51762, 50433, 50902, 51267, 69640, 51598, 50917, 50434, 52352, 51005, 57972, 50861, 79746, 51310, 51598, 55157, 68017, 51762, 50445, 50902, 66154, 51295, 50446, 51468, 50451, 50861, 64535, 58399, 56951, 67940, 51471, 50457, 50876, 69887, 58127, 60756, 50892, 51598, 67074, 51970, 51601, 52252, 51353, 52471, 51151, 50973, 63785, 57260, 58794, 51734, 50299, 51318, 50973, 51538, 51598, 57394, 72083, 51956, 50421, 50902, 51253, 51086, 51047, 50422, 51983, 50427, 69459, 50899, 57604, 70690, 51762, 50433, 50902, 51253, 50861, 51295, 51598, 78446, 51927, 51005, 57270, 50861, 79746, 51115, 51598, 62343, 68017, 51956, 50445, 50902, 66154, 51310, 50446, 51960, 50451, 50861, 78288, 57864, 58379, 65674, 51471, 50457, 50876, 77509, 58399, 59374, 50905, 51598, 50924, 50458, 51468, 51601, 52252, 51293, 52471, 51353, 50973, 73585, 58871, 67278, 68518, 51295, 50973, 51161, 51598, 57394, 64664, 80077, 50902, 51109, 51086, 51148, 50422, 51983, 50427, 63775, 50899, 57604, 68016, 51956, 50433, 50902, 51312, 50861, 51295, 51598, 78446, 56089, 65004, 50861, 60959, 51310, 51598, 55157, 68017, 51762, 50445, 50902, 66154, 51115, 50446, 51960, 50451, 50861, 51853, 50315, 58127, 56951, 65674, 51931, 50457, 50876, 69887, 57348, 60379, 50845, 51598, 67074, 51468, 51601, 51716, 51183, 52009, 51047, 50899, 67891, 71883, 62447, 51295, 50999, 68900, 51127, 50931, 51336, 51598, 57394, 50961, 50416, 80077, 50871, 51709, 50899, 51295, 50422, 51842, 76946, 52056, 50871, 58379, 77751, 51956, 50433, 50871, 63257, 50905, 51598, 66881, 58140, 60470, 52252, 51183, 52471, 51145, 51086, 64449, 55143, 73790, 51115, 50861, 51447, 50931, 51103, 50902, 51103, 51598, 62343, 68017, 51762, 50445, 50877, 78288, 51115, 50446, 51468, 50451, 50973, 55332, 57604, 79857, 51762, 50457, 50876, 77509, 50845, 51598, 73246, 51983, 51601, 51716, 51313, 52295, 51353, 50900, 61679, 63141, 74471, 69970, 51115, 50861, 71052, 51077, 51704, 57394, 70426, 51956, 50421, 50900, 51310, 51315, 51148, 50422, 51970, 50427, 51026, 72272, 51295, 50804, 71362, 51956, 50433, 50900, 51310, 70330, 51704, 77121, 71218, 58159, 50900, 64464, 51295, 51704, 64132, 77378, 51931, 50445, 50899, 61432, 51318, 50446, 51468, 50451, 50916, 63327, 50995, 51704, 58668, 79857, 51931, 50457, 50900, 52415, 50310, 65792, 51962, 50299, 70634, 51970, 51601, 51716, 51293, 52295, 51151, 50900, 61679, 51712, 50299, 52845, 50308, 70156, 51310, 74367, 50973, 50918, 51704, 67777, 70426, 79224, 50900, 51318, 51315, 51047, 50422, 51970, 50427, 51026, 68184, 51310, 50804, 70690, 51471, 50433, 50900, 51318, 65218, 51704, 66881, 71218, 57270, 50900, 51141, 69640, 51704, 64132, 68017, 51956, 50445, 50899, 61432, 51115, 50446, 51970, 50451, 50916, 63327, 50915, 51704, 71441, 65674, 51956, 50457, 50900, 73446, 65792, 52415, 50299, 73752, 51468, 51601, 52009, 51151, 53608, 51293, 50899, 62838, 51712, 50301, 52845, 50310, 75628, 51189, 50899, 51310, 77113, 51507, 67777, 64664, 51762, 50421, 50899, 51189, 51378, 51183, 50422, 51842, 50427, 51027, 68369, 58379, 70690, 51471, 50433, 51027, 59537, 51295, 51507, 78446, 51927, 51005, 57270, 50899, 62159, 56876, 51157, 68485, 51507, 56001, 67268, 51471, 50445, 50916, 75670, 51310, 50446, 51842, 50451, 50916, 57864 ]
[ 0, 713, 765, 5175, 2214, 16, 278, 11, 230, 3694, 8, 3136, 23, 41, 12447, 1001, 20889, 6, 4246, 10, 38668, 483, 6, 36075, 8669, 6, 8, 385, 922, 438, 15677, 14, 283, 561, 7, 1045, 10, 15352, 30054, 8, 20425, 5466, 19, 10, 11602, 9, 980, 219, 3366, 6601, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 71628, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 50799, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 62760, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 50799, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 71628, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 50799, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 62760, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 76755, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50338, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50331, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 59143, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50331, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50338, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 76755, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50338, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50331, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 59143, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50331, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50338, 50795, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 19448, 5175, 25771, 2214, 4246, 10, 6755, 12547, 6, 13305, 6, 2352, 6757, 6, 2662, 271, 6, 8, 1515, 21305, 6, 2351, 10, 3366, 219, 8, 33558, 5466, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 211, 119, 6, 1918, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50426, 79151, 55277, 79151, 52121, 50799, 52133, 51293, 51743, 51293, 79656, 52338, 51293, 51996, 51293, 52196, 51293, 50945, 50844, 57971, 50844, 59849, 50844, 73980, 54788, 51411, 50417, 52327, 56944, 54351, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 62149, 76668, 50844, 52327, 56944, 53450, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50945, 50844, 57971, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 50844, 53357, 50844, 57971, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 60785, 76668, 50844, 51607, 56944, 54004, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 50945, 50844, 57971, 50844, 51607, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 52133, 51448, 51743, 51448, 51615, 51448, 52338, 51448, 51996, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 54788, 51411, 79151, 52121, 50417, 59849, 56944, 54351, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 62149, 61668, 50844, 52327, 56944, 53450, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50964, 50844, 54664, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 60977, 51607, 56944, 50844, 50799, 53181, 51448, 51881, 51448, 51615, 51448, 54277, 51448, 52665, 51448, 51946, 51448, 51096, 50844, 55151, 50844, 63767, 50844, 73980, 54788, 51411, 50417, 52257, 56944, 54351, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 62149, 63241, 50844, 52257, 56944, 53450, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 51096, 50844, 55151, 50844, 52257, 50844, 73980, 60234, 54910, 56944, 53614, 53181, 51448, 51881, 51448, 51743, 51448, 54277, 51448, 52665, 51448, 51996, 51448, 51096, 50844, 55151, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 60785, 63241, 50844, 51669, 56944, 54004, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 51096, 50844, 55151, 50844, 51669, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 51881, 51448, 51743, 51448, 51656, 51448, 52665, 51448, 51996, 51448, 52196, 51448, 72987, 54931, 50844, 59849, 50844, 73980, 54788, 51411, 50417, 52327, 56944, 54351, 72987, 54931, 50844, 54910, 50844, 73980, 62149, 68963, 50844, 52327, 56944, 53450, 72987, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 72987, 54931, 50844, 52327, 50844, 73980, 60234, 54910, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 51607, 50844, 73980, 60977, 52257, 56944, 50844, 50799, 52133, 51293, 51743, 51293, 79656, 52338, 51293, 51996, 51293, 52196, 51293, 50945, 50844, 57971, 50844, 59849, 50844, 73980, 54788, 51411, 79151, 52121, 50417, 52327, 56944, 54351, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 62149, 76668, 50844, 52327, 56944, 53450, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50945, 50844, 57971, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 50844, 53357, 50844, 57971, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 60785, 76668, 50844, 51607, 56944, 54004, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 50945, 50844, 57971, 50844, 51607, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 52133, 51448, 51743, 51448, 51615, 51448, 52338, 51448, 51996, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 54788, 51411, 50417, 59849, 56944, 54351, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 62149, 61668, 50844, 52327, 56944, 53450, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50964, 50844, 54664, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 60977, 51607, 56944, 50844, 50799, 53181, 51448, 51881, 51448, 51615, 51448, 54277, 51448, 52665, 51448, 51946, 51448, 51096, 50844, 55151, 50844, 63767, 50844, 73980, 54788, 51411, 50417, 52257, 56944, 54351, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 62149, 63241, 50844, 52257, 56944, 53450, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 51096, 50844, 55151, 50844, 52257, 50844, 73980, 60234, 54910, 56944, 53614, 53181, 51448, 51881, 51448, 51743, 51448, 54277, 51448, 52665, 51448, 51996, 51448, 51096, 50844, 55151, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 60785, 63241, 50844, 51669, 56944, 54004, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 51096, 50844, 55151, 50844, 51669, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 51881, 51448, 51743, 51448, 51656, 51448, 52665, 51448, 51996, 51448, 52196, 51448, 72987, 54931, 50844, 59849, 50844, 73980, 54788, 51411, 79151, 52121, 50417, 52327, 56944, 54351, 72987, 54931, 50844, 54910, 50844, 73980, 62149, 68963, 50844, 52327, 56944, 53450, 72987, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 72987, 54931, 50844, 52327, 50844, 73980, 60234, 54910, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 51607, 50844, 73980, 60977, 52257, 56944, 50844, 50799, 55499, 51059, 54019, 51059, 52133, 51293, 51743, 51293, 79656, 52338, 51293, 51996, 51293, 52196, 51293, 50945, 50844, 59849, 50844, 73980, 54788, 51411, 50417, 52327, 56944, 54351, 50945, 50844, 53876, 50844, 73980, 62149, 52327, 56944, 53450, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 52380, 50803, 62292, 71912, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 53614, 52380, 51795, 62292, 51795, 50945, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 50945, 50844, 53876, 50844 ]
[ 0, 250, 2635, 8, 2933, 5175, 2125, 4246, 10, 21040, 2426, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 20889, 16, 10, 16906, 352, 226, 22740, 6, 8, 5, 33215, 16739, 9, 272, 6, 1918, 6, 8, 163, 119, 17992, 7, 5, 45565, 12589, 5466, 4, 2285, 63, 15549, 38639, 6, 5, 15229, 7630, 6568, 10, 25306, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 61791, 53032, 50807, 53195, 52910, 53032, 50807, 53195, 52424, 53032, 50918, 53195, 50918, 50799, 52758, 50795, 53141, 52115, 53195, 50795, 52969, 51631, 53141, 50795, 53429, 51736, 53195, 50795, 52969, 51646, 53195, 50918, 52969, 50918, 50799, 52758, 50795, 53141, 52115, 53195, 50795, 52969, 51631, 53141, 50795, 53429, 51736, 53195, 50795, 52969, 51646, 53195, 50795, 52969, 51918, 52758, 50795, 53141, 52728, 53032, 51923, 53032, 50918, 53195, 50918, 66243, 53032, 50807, 53195, 53218, 53032, 50807, 53195, 53312, 53032, 50918, 53195, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50795, 53429, 51798, 53195, 50795, 52969, 51923, 53195, 50918, 52969, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50807, 53429, 53312, 53195, 50795, 52969, 50795, 50799, 53195, 50795, 52969, 52115, 52758, 50795, 53141, 51631, 53032, 50795, 53195, 51736, 53032, 50918, 53195, 72423, 53032, 50795, 53032, 50795, 50799, 53032, 50795, 53032, 52115, 53032, 50795, 53032, 51631, 53032, 50807, 53032, 53218, 53032, 50795, 53032, 51798, 52758, 50795, 52758, 51923, 53032, 50795, 53032, 50795, 50799, 54489, 50795, 54489, 52115, 54182, 50795, 54182, 51631, 54890, 50795, 54890, 51358, 50432, 54890, 50918, 50799, 53195, 50795, 52969, 52115, 53141, 50795, 53429, 51631, 53141, 50795, 53429, 51736, 53195, 50795, 52969, 51646, 53032, 50795, 53195, 51918, 52758, 50795, 53141, 51798, 53032, 50795, 53195, 51923, 53032, 50918, 53195, 50918, 66243, 53032, 50807, 53195, 53218, 53032, 50807, 53195, 53312, 53032, 50918, 53195, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50795, 53429, 51798, 53195, 50795, 52969, 51923, 53195, 50918, 52969, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50807, 53429, 53312, 53195, 50795, 52969, 50795, 50799, 53032, 50795, 53195, 52115, 52758, 50795, 53141, 51631, 53032, 50795, 53195, 51736, 53032, 50918, 53195, 72423, 53032, 50807, 53195, 50807, 52591, 53032, 50807, 53195, 53182, 53032, 50807, 53195, 53218, 52758, 50795, 53141, 51798, 53195, 50795, 52969, 51923, 53141, 50795, 53429, 50795, 50799, 53195, 50795, 52969, 52115, 53195, 50918, 52969, 56027, 52758, 50795, 53141, 51798, 53195, 50795, 52969, 51923, 53141, 50795, 53429, 50795, 50799, 53141, 50795, 53429, 52115, 53032, 50795, 53195, 51631, 53195, 50795, 52969, 51736, 52758, 50795, 53141, 51646, 53032, 50795, 53195, 51918, 53032, 50918, 53195, 50918, 52591, 53032, 50807, 53032, 53182, 53032, 50795, 53032, 51646, 54489, 50795, 54489, 51918, 54182, 50795, 54182, 51798, 54890, 51358, 54890, 51358, 61627, 53195, 50795, 52969, 51918, 53141, 50807, 53429, 53312, 53195, 50795, 52969, 50795, 50799, 53195, 50795, 52969, 52115, 52758, 50795, 53141, 51631, 53032, 50795, 53195, 51736, 53032, 50918, 53195, 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, 250, 15352, 30054, 8, 2933, 5175, 15855, 2125, 4246, 10, 3741, 27374, 594, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 398, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 727, 163, 5683, 6, 36830, 227, 5, 40286, 272, 8, 230, 119, 1328, 42, 765, 2214, 6, 2351, 10, 980, 219, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 54122, 63603, 54548, 55265, 54122, 61993, 54548, 52302, 54122, 57369, 54548, 53578, 53489, 60517, 54548, 52630, 59633, 62938, 54122, 54396, 59633, 58976, 54122, 52265, 59633, 56987, 54122, 53785, 54548, 57776, 54122, 52676, 58658, 62968, 59633, 54129, 58658, 58772, 59633, 52267, 58658, 56877, 59633, 53851, 54122, 58977, 59633, 52568, 57961, 62353, 58658, 54085, 57961, 57859, 58658, 52193, 57961, 56995, 58658, 53736, 59633, 56912, 58658, 50817, 50799, 52118, 50817, 57961, 51795, 50416, 52230, 55265, 52118, 61993, 52230, 52302, 52118, 57369, 52230, 53578, 52760, 60517, 52230, 52630, 52345, 62938, 52118, 54396, 52345, 58976, 52118, 52265, 52345, 56987, 52118, 53785, 52230, 57776, 52118, 52676, 52661, 62968, 52345, 54129, 52661, 58772, 52345, 52267, 52661, 56877, 52345, 53851, 52118, 58977, 52345, 52568, 52360, 62353, 52661, 54085, 52360, 57859, 52661, 52193, 52360, 50817, 58658, 56575, 52661, 53736, 52360, 50817, 59633, 56771, 54267, 50817, 50799, 54122, 50803, 53276, 56778, 58658, 52244, 59633, 50803, 54832, 54433, 54122, 51973, 59633, 50803, 53328, 55396, 54548, 52119, 54122, 50803, 52230, 54241, 53489, 52057, 53480, 56119, 54548, 52284, 53328, 50803, 52661, 55373, 54267, 52116, 52661, 50803, 53469, 55680, 54548, 52163, 54832, 50803, 53252, 54934, 53276, 50803, 50799, 52661, 50803, 53480, 56778, 54548, 52244, 53328, 50803, 52661, 54433, 54267, 51973, 52661, 50803, 53469, 55396, 54548, 52119, 54832, 50803, 53252, 54241, 53276, 52057, 53480, 50803, 52661, 53609, 52661, 52284, 52230, 50803, 54548, 70048, 53480, 52116, 54470, 53532, 52230, 52163, 52724, 50803, 53489, 50802, 54122, 54934, 54470, 50803, 50799, 56064, 54024, 53480, 52244, 54470, 50803, 54548, 50802, 59633, 54433, 56064, 51973, 56549, 53300, 54470, 52119, 55532, 50803, 54122, 50802, 58658, 54241, 56549, 52057, 56064, 56119, 57961, 52284, 54548, 50803, 53480, 63058, 53328, 52116, 54832, 53532, 54548, 52163, 54832, 74218, 54934, 53276, 50803, 50799, 53328, 50803, 54750, 58297, 55183, 52244, 53328, 50803, 52230, 54433, 54267, 51973, 53232, 74218, 50802, 53252, 58542, 55183, 52119, 53276, 50803, 56687, 54241, 52360, 52057, 53232, 50803, 54750, 57699, 55183, 52284, 53328, 50803, 52230, 55373, 54267, 52116, 53232, 74218, 50802, 53252, 57325, 55183, 52163, 53276, 50803, 56687, 54934, 52360, 50803, 50799, 53232, 54024, 53232, 52244, 53252, 50803, 55183, 64381, 52724, 51973, 56687, 53300, 53232, 52119, 52230, 50803, 54267, 50802, 53328, 54241, 54750, 52057, 56687, 53609, 53232, 52284, 53252, 50803, 53276, 50802, 54832, 55373, 52724, 52116, 56687, 53532, 53232, 52163, 52230, 50803, 54267, 50802, 53328, 54934, 54750, 50803, 50799, 56687, 50803, 52360, 50802, 53276, 56778, 53232, 52244, 53252, 50803, 52360, 50802, 53276, 50802, 55183, 54433, 52724, 51973, 53874, 53300, 52118, 52119, 53252, 50803, 52661, 50802, 54267, 50802, 54548, 54241, 53874, 52057, 56687, 53609, 53232, 52284, 53252, 50803, 52360, 50802, 55183, 50802, 54122, 55373, 56687, 52116, 53480, 53532, 52661, 52163, 52230, 50803, 53328, 50802, 54548, 50802, 59633, 54934, 53480, 50803, 50799, 52724, 54024, 52360, 52244, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 54433, 52760, 51973, 52724, 53300, 52360, 52119, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54241, 52230, 52057, 52724, 53609, 52360, 52284, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 55373, 52760, 52116, 52724, 53532, 52360, 52163, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54934, 52230, 50803, 50799, 55532, 54024, 52724, 52244, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 62133, 54433, 56165, 51973, 55532, 53300, 52724, 52119, 56687, 50803, 53328, 50802, 55183, 50802, 54122, 50802, 57961, 54241, 54470, 52057, 55532, 53609, 52724, 52284, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 64974, 55373, 56165, 52116, 55532, 53532, 52724, 52163, 56687, 50803, 55183, 50802, 54122, 50802, 57961, 54934, 54470, 50803, 50799, 55532, 54024, 52724, 52244, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 64974, 54433, 55532, 51973, 75004, 58542, 62133, 52119, 57961, 52674, 54122, 52057, 59633, 50803, 56064, 50802, 57961, 57699, 54548, 52284, 54122, 50803, 53480, 55373, 53074, 52116, 55183, 74218, 50802, 54122, 57325, 53328, 52163, 53074, 50803, 55532, 54934, 53385, 50803, 50799, 53328, 50803, 54470, 56778, 54122, 52244, 53328, 50803, 52230, 54433, 52360, 51973, 54267, 50803, 53480, 55396, 59633, 52119, 54548, 50803, 52661, 54241, 52779, 52057, 52724, 50803, 53385, 56119, 52360, 52284, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 55373, 52760, 52116, 52724, 53532, 52360, 52163, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54934, 52230, 50803, 50799, 52724, 54024, 52360, 52244, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 54433, 52760, 51973, 52724, 53300, 52360, 52119, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54241, 52230, 52057, 55532, 53609, 52724, 52284, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 62133, 55373, 56165, 52116, 55532, 53532, 52724, 52163, 56687, 50803, 53328, 50802, 55183, 50802, 54122, 50802, 57961, 54934, 54470, 50803, 50799, 55532, 54024, 52724, 52244, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 64974, 54433, 56165, 51973, 55532, 53300, 52724, 52119, 56687, 50803, 55183, 50802, 54122, 50802, 57961, 54241, 54470, 52057, 55532, 53609, 52724, 52284, 53874, 50803, 53074, 50993, 54548, 50993, 54122, 50993, 64974, 70048, 55532, 52116, 75004, 57325, 62133, 52163, 57961, 52937, 54122, 50803, 50799, 59633, 50803, 56064, 50802, 57961, 58297, 54548, 52244, 54122, 50803, 53480, 54433, 53074, 51973, 55183, 74218, 50802, 54122, 58542, 53328, 52119, 53074, 50803, 55532, 54241, 53385, 52057, 53328, 50803, 54470, 56119, 54122, 52284, 53328, 50803, 56687, 55373, 52360, 52116, 54267, 50803, 53480, 55680, 59633, 52163, 54548, 50803, 53874, 54934, 53385, 50803, 50799, 53328, 50803, 56687, 56778, 54122, 52244, 53328, 50803, 75004, 54433, 52360, 51973, 54267, 50803, 56064, 55396, 59633, 52119, 54548, 50803, 60565, 54241, 53385, 52057, 53328, 50803, 75004, 56119, 52360, 52284, 54267, 50803, 56064, 55373, 52661, 52116, 53232, 50803, 55532, 55680, 53328, 52163, 52118, 50803, 79808, 54934, 53385, 50803, 50799, 53328, 51029, 56549, 58769, 56549, 51407, 50441, 52230, 52284, 52345, 52911, 52360, 52116, 53328, 53532, 53489, 52163, 54122, 52937, 62133, 50803, 50799, 57961, 51407, 50417, 54470, 52244, 53854, 52801, 52724, 51973, 52230, 53300, 52345, 52119, 52360, 52674, 53276, 52057, 54832, 51029, 50441, 57961, 52284, 58658, 52911, 55358, 52116, 58658, 53532, 55358, 52163, 58658, 50803, 53328, 54934, 57961, 50803, 50799, 50658, 50334, 50803, 53276, 56778, 57961, 52244, 58658, 50803, 53469, 54433, 59633, 51973, 54122, 50803, 53232, 55396, 54548, 52119, 55183, 50803, 52360, 54241, 54832, 52057, 53328, 50803, 54267, 56119, 59633, 52284, 55183, 50803, 54750, 63058, 53328, 52116, 54267, 53532, 59633, 52163, 54548, 50803, 53469, 50802, 52661, 54934, 54832, 50803, 50799, 54267, 50803, 52230, 50802, 53232, 51029, 50417, 59633, 52244, 55183, 50803, 54750, 51029, 50423, 53328, 51973, 54267, 53300, 59633, 52119, 54548, 50803, 53469, 50802, 52661, 54241 ]
[ 0, 250, 5679, 26709, 5175, 2125, 19, 15855, 16882, 6, 4246, 38668, 22052, 6, 32909, 6, 21979, 8669, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 2829, 2933, 5466, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 8, 22848, 10, 33215, 16739, 9, 12608, 6, 2060, 6, 163, 428, 406, 6, 12608, 6, 8, 274, 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 ]	[ 51034, 50627, 51018, 51018, 51018, 50433, 52398, 50823, 51716, 55996, 58155, 50952, 59524, 51014, 56297, 61109, 52398, 50975, 51716, 60363, 58155, 51167, 59524, 51483, 56297, 50975, 50445, 51716, 50823, 53034, 56695, 53605, 50921, 56297, 51045, 50750, 50331, 51014, 50449, 51716, 50975, 53034, 50975, 51034, 51105, 51352, 53605, 51167, 56297, 50975, 50750, 50331, 51483, 51246, 51009, 51136, 51009, 50929, 51009, 51064, 51009, 50421, 52072, 50823, 52736, 56733, 54855, 50921, 57678, 50823, 72907, 51045, 50425, 52072, 50975, 52736, 59216, 54855, 51175, 57678, 51483, 72907, 51483, 50433, 52072, 50823, 52736, 55996, 54855, 50940, 57678, 51045, 72907, 51045, 50437, 52736, 50975, 52547, 60363, 58206, 51379, 72907, 50975, 64907, 51483, 51246, 51054, 51136, 50824, 73560, 68137, 50445, 52072, 50823, 52736, 56695, 54855, 50952, 57678, 51014, 72907, 51045, 50449, 52398, 52442, 51716, 52442, 51034, 51796, 51407, 58155, 56082, 59524, 52737, 56297, 52737, 50986, 51352, 51136, 51352, 51169, 51352, 51032, 51161, 51320, 52087, 56856, 50913, 52966, 66776, 51136, 51016, 51169, 51013, 65429, 59811, 56516, 52211, 50803, 51431, 53277, 50579, 52535, 52958, 50986, 51103, 51136, 50918, 51169, 50918, 51032, 50918, 52211, 50802, 51431, 51331, 64572, 54016, 58655, 50913, 58394, 66490, 51431, 50823, 51641, 51033, 51326, 52245, 50891, 51034, 51325, 51009, 50986, 51352, 51136, 51352, 51169, 51352, 51032, 51941, 51431, 52442, 52264, 52442, 51320, 52087, 56856, 50913, 52966, 66776, 77389, 78991, 51032, 51013, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53372, 68765, 71885, 50986, 51013, 51136, 51016, 51169, 51016, 51032, 51013, 59811, 50820, 51882, 51379, 52832, 50975, 50442, 50913, 60479, 53909, 62888, 50913, 50891, 52077, 51033, 54641, 63816, 54229, 51285, 51034, 51796, 51009, 50986, 51175, 51136, 51175, 51169, 51215, 51032, 51194, 51320, 52087, 50829, 52753, 51541, 58220, 51059, 50422, 70899, 51136, 50933, 51169, 50955, 51032, 79077, 52966, 50986, 51090, 77389, 51169, 51013, 51032, 50889, 50986, 51103, 51136, 51145, 51169, 51047, 51032, 51183, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53372, 51167, 54571, 68765, 51105, 51072, 50986, 51090, 51136, 51013, 51169, 50889, 51032, 55107, 51187, 52755, 50820, 51882, 51379, 52770, 50975, 50442, 50913, 60479, 53909, 50921, 55031, 62888, 50913, 50891, 52077, 51033, 54103, 63816, 54229, 51285, 53372, 51285, 51034, 51325, 51009, 50986, 51110, 51136, 51233, 51169, 51110, 51032, 51110, 51320, 52087, 50829, 52753, 51496, 52832, 51029, 50422, 50986, 51051, 51136, 50933, 51169, 50955, 51032, 75989, 52966, 66776, 51136, 50889, 51169, 51013, 51032, 50889, 50986, 51103, 51136, 51148, 51169, 51077, 51032, 51183, 59811, 57107, 54229, 50921, 53372, 62887, 50913, 50908, 52753, 50930, 52832, 57784, 54229, 51167, 53372, 68765, 71885, 50986, 51013, 51136, 50914, 73008, 51032, 53030, 51187, 52755, 50820, 52753, 51379, 52832, 50975, 50442, 50913, 60479, 53909, 50921, 55031, 62888, 50913, 50891, 52077, 51033, 54103, 63816, 53372, 51167, 54571, 51167, 51034, 51796, 51300, 50986, 50967, 51136, 51110, 51169, 51194, 51032, 51110, 51320, 52087, 50829, 51882, 51379, 52770, 50975, 50421, 53372, 50921, 54571, 62991, 50986, 51008, 51136, 51008, 51169, 50942, 51032, 63832, 50891, 51882, 51033, 52770, 63606, 53372, 51167, 54571, 67875, 50986, 51090, 51136, 51090, 51169, 51016, 51032, 50889, 50986, 51103, 51136, 51080, 51169, 51103, 51032, 51148, 59811, 50829, 51882, 51379, 52770, 50975, 50433, 53372, 50921, 54571, 62887, 50913, 50908, 51882, 51033, 52770, 61109, 53909, 51167, 55031, 68765, 51796, 50824, 50986, 51090, 51136, 51016, 51169, 51016, 51032, 50914, 55610, 52755, 50820, 52077, 51379, 54103, 50975, 50442, 50913, 60479, 54229, 50921, 53372, 62888, 50913, 50891, 52753, 51033, 52832, 63816, 52471, 51285, 53909, 51285, 51034, 51105, 51009, 51246, 51175, 51136, 51043, 50929, 50967, 51064, 51043, 51320, 52087, 50829, 51813, 51496, 54641, 51029, 50422, 51246, 51008, 51136, 50933, 71257, 51064, 51008, 50913, 52966, 51246, 51090, 51136, 51013, 56767, 51064, 50889, 51246, 50918, 51136, 51183, 80145, 51064, 51077, 51641, 50824, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53909, 68765, 51096, 51072, 51246, 51016, 51136, 50943, 58352, 68137, 51641, 50824, 51579, 54565, 51187, 52755, 50820, 52077, 51379, 54641, 50975, 50442, 50913, 60479, 54229, 50921, 60260, 52543, 50891, 52753, 51033, 58220, 63816, 52471, 51285, 51034, 51105, 51009, 51246, 51215, 51136, 51043, 50929, 51095, 51064, 51215, 51579, 51184, 52336, 52379, 51320, 52087, 50829, 51813, 51496, 56724, 51029, 50422, 51246, 50955, 51136, 50959, 71257, 51064, 79077, 52966, 51246, 51090, 51136, 51013, 50929, 51016, 68137, 51246, 51196, 51136, 51127, 50929, 51077, 51064, 51127, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 55031, 51167, 55803, 68765, 51096, 51072, 63965, 51136, 77749, 51013, 51064, 51016, 55610, 52755, 50820, 52655, 51379, 51831, 50975, 50442, 50913, 60479, 53372, 50921, 54571, 62888, 50913, 50891, 51882, 51033, 52770, 63816, 53909, 51285, 55031, 51285, 51034, 51105, 51300, 51246, 51110, 51136, 51642, 50929, 51110, 51064, 51110, 51320, 52087, 50829, 52077, 51496, 54103, 51029, 50422, 51246, 50878, 51136, 51008, 50929, 50910, 51064, 64099, 52966, 63965, 51136, 51237, 50929, 51237, 51064, 50889, 51246, 51127, 51136, 51244, 50929, 51127, 51064, 51127, 59811, 57107, 53909, 50921, 55031, 62887, 50913, 50908, 52077, 50882, 54103, 57880, 53909, 51167, 55031, 68765, 76091, 63965, 51136, 50889, 50929, 51016, 51064, 51013, 55610, 52755, 50820, 52077, 51379, 54103, 50975, 50442, 50913, 60479, 53372, 50921, 54571, 62888, 50913, 50891, 51882, 51033, 52770, 63816, 55031, 51167, 55803, 51167, 51034, 51105, 51300, 51246, 51095, 51136, 51233, 50929, 51110, 51064, 51178, 51320, 52087, 50829, 52655, 51379, 51831, 50975, 50421, 55031, 50921, 55803, 62991, 51246, 50959, 51136, 50959, 71257, 51064, 75989, 50891, 52655, 51033, 51831, 63606, 55031, 51167, 55803, 67875, 51246, 51090, 51136, 51237, 50929, 51054, 51064, 50889, 51246, 51077, 51136, 51183, 50929, 51103, 51064, 51127, 59811, 50829, 52655, 51379, 51831, 50975, 50433, 55031, 50921, 55803, 62887, 50913, 50908, 52655, 51033, 51831, 61109, 53372, 51167, 54571, 68765, 51096, 50975, 51246, 51016, 51136, 50914, 50929, 51016, 51064, 53030, 51187, 52755, 50820, 51882, 51379, 52770, 50975, 50442, 50913, 60479, 53909, 50921, 55031, 62888, 51105, 52199, 50891, 52077, 51033, 54103, 63816, 54229, 51274, 53372, 51274, 51034, 51325, 51870, 80149, 51136, 51110, 51169, 51110, 51032, 50967, 51320, 52087, 50829, 52753, 51496, 52832, 51029, 50422, 50986, 50959, 51136, 51142, 51169, 50942, 51032, 63832, 52966, 50986, 51054, 51136, 51090, 78991, 51032, 50914, 50986, 51336, 51136, 51103, 51169, 51145, 51032, 51127, 51431, 50824, 51641, 50824, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53372, 68765, 51105, 51072, 50986, 51016, 51136, 51013, 73008, 65429, 51431, 50824, 52264, 54565, 51187, 52755, 50820, 51882, 51379, 52832, 50975, 50442, 50913, 60479, 53909, 50921, 60260, 52532, 50891, 52077, 51033, 54641, 63816, 54229, 51285, 51034, 51796, 51009, 50986 ]
[ 0, 250, 20902, 3495, 2214, 4246, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 8, 21040, 2426, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 13950, 13410, 228, 2289, 4, 20, 14899, 33301, 8, 204, 73, 306, 86, 6543, 1045, 10, 1372, 8, 33558, 5466, 6, 19, 5, 40286, 272, 8, 211, 1976, 5, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 54920, 51055, 53195, 50918, 52969, 50918, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 52969, 50795, 54990, 57484, 50805, 71594, 52120, 53035, 65476, 53141, 50795, 53429, 50795, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 51358, 52969, 51358, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 52969, 50795, 54990, 57484, 50805, 71594, 61741, 69789, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 51358, 52969, 51358, 63755, 71594, 64765, 54920, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 52969, 50795, 54990, 57484, 50805, 71594, 61741, 65476, 53141, 50795, 53429, 50795, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 50807, 52969, 50807, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 53195, 50807, 52969, 50807, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 52969, 50795, 54990, 57484, 50805, 71594, 52120, 53035, 69789, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 50807, 52969, 50807, 51676, 58690, 63755, 71594, 64765, 54920, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 63755, 71594, 61741, 65476, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 51617, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 51676, 50923, 63755, 71594, 61741, 69789, 51676, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 51953, 50923, 63755, 71594, 64765, 54920, 51055, 51676, 50923, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 51676, 50923, 71615, 67672, 61862, 51416, 51055, 51676, 50923, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 51953, 50923, 71615, 67672, 52093, 57842, 51055, 51676, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 51676, 51054, 63755, 71594, 52120, 53035, 65476, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51617, 51552, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 51676, 50923, 63755, 71594, 52120, 53035, 69789, 51676, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 51953, 50923, 63755, 71594, 52093, 54920, 51055, 51676, 51054, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51676, 50923, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 51953, 50923, 71615, 67672, 52093, 57842, 51055, 51676, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 51676, 50923, 63755, 71594, 61741, 65476, 51676, 50923, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51617, 51552, 51207, 51013, 56745, 66976, 51076, 50943, 64765, 54920, 51055, 51897, 53336, 52012, 50879, 71836, 51131, 50805, 71615, 58993, 61862, 51416, 51055, 52012, 51013, 66615, 76901, 71615, 58993, 54161, 52975, 71615, 58993, 52093, 54585, 51055, 52012, 51013, 66615, 76901, 71615, 58993, 52166, 53675, 51617, 50923, 71615, 58993, 61741, 69789, 51617, 50923, 52012, 51013, 66615, 76901, 71615, 58993, 54161, 53563, 65476, 51617, 51552, 71615, 58993, 52093, 52894, 51055, 51504, 51013, 59737, 66776, 61416, 58993, 51897, 53336, 61416, 58993, 61862, 51132, 51055, 51504, 51013, 59737, 66776, 61416, 58993, 54161, 52975, 61416, 58993, 52093, 54908, 51055, 51504, 51013, 59737, 66776, 61416, 58993, 52166, 53675, 51617, 50923, 61416, 58993, 61741, 76616, 51617, 50923, 51504, 51013, 59737, 66776, 61416, 58993, 54161, 53563, 51640, 50806, 52333, 51552, 61416, 58993, 64765, 53053, 51055, 51207, 51013, 56745, 63755, 71594, 51897, 53336, 63755, 71594, 61862, 51137, 51055, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 52975, 63755, 71594, 52093, 57080, 51055, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 51617, 50923, 63755, 71594, 61741, 65476, 52333, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 69789, 51829, 52311, 63755, 71594, 64765, 54920, 51055, 53195, 50918, 52969, 50918, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 52120, 52905, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 52969, 50795, 54990, 57484, 50805, 71594, 52120, 53035, 65476, 53141, 50795, 53429, 50795, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 51358, 52969, 51358, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 53141, 50795, 53429, 50795, 51617, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 52969, 50795, 54990, 50795, 52333, 50923, 63755, 71594, 52120, 53035, 69789, 53141, 50795, 53429, 50795, 51617, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 50795, 52969, 50795, 52333, 50923, 63755, 71594, 64765, 54920, 51055, 51676, 55198, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 63755, 71594, 61741, 65476, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615 ]
[ 0, 713, 5175, 25771, 2214, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 15352, 30054, 8, 32076, 5466, 4, 20, 15229, 1575, 10, 11739, 9, 21072, 6, 3459, 8669, 6, 38668, 11212, 6, 13305, 6, 8, 6755, 12547, 6, 2351, 10, 4066, 8, 28026, 2369, 4, 13231, 5, 2125, 6, 5, 33215, 16739, 9, 2060, 6, 274, 10431, 6, 2060, 6, 8, 230, 10431, 16, 26584, 3520, 6, 6946, 7, 63, 13363, 28191, 20299, 4, 590, 10, 38451, 3938, 20889, 9, 727, 13410, 228, 2289, 6, 42, 2214, 5315, 10, 2394, 227, 26545, 8, 5581, 6, 442, 24, 41, 5631, 2031, 13, 3618, 6288, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 53028, 75011, 50841, 51570, 53083, 52261, 55881, 51184, 50956, 51184, 50989, 51184, 50906, 51184, 52343, 51036, 65638, 51184, 53953, 51184, 53654, 51184, 53361, 61912, 52191, 50817, 51513, 50817, 51659, 50817, 51543, 50898, 52782, 50424, 52191, 58459, 52191, 52975, 52191, 68676, 50817, 51659, 50817, 51543, 50898, 52782, 50444, 52191, 50817, 51513, 50817, 51659, 50817, 51543, 50898, 52782, 50448, 52191, 52768, 51721, 67897, 52191, 52884, 51990, 68676, 50817, 51659, 50817, 51543, 50817, 52226, 51331, 52167, 58526, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52426, 50983, 52200, 50802, 65143, 51029, 56470, 51029, 53953, 51029, 53654, 58823, 52007, 50817, 79007, 51513, 50817, 51659, 50817, 52226, 57838, 52167, 50424, 52007, 58459, 52007, 52265, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50883, 51262, 50828, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 64811, 52167, 50444, 52899, 50817, 51729, 50817, 51262, 50949, 51781, 50898, 52167, 50448, 52899, 59154, 52899, 52193, 52899, 50817, 51729, 50817, 51262, 50883, 51781, 50898, 51252, 50460, 52899, 50811, 55881, 51184, 50956, 51184, 50989, 51184, 50906, 51184, 52343, 51036, 65638, 51184, 53953, 51184, 53654, 51184, 53361, 61912, 52191, 50817, 51513, 50817, 51659, 50817, 51543, 51130, 52782, 50424, 52191, 58459, 52191, 52975, 52191, 68676, 50817, 51659, 50817, 51543, 51130, 52782, 50444, 52191, 50817, 51513, 50895, 51659, 50817, 51543, 51044, 52782, 50448, 52191, 52768, 53179, 58268, 52191, 52884, 51990, 68676, 50883, 51659, 50817, 51543, 50883, 53179, 51052, 52167, 58526, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52426, 50983, 52200, 50860, 65143, 51029, 56470, 51029, 53953, 51029, 53654, 58823, 52007, 50817, 79007, 51513, 50817, 51659, 50817, 52226, 57838, 52167, 50424, 52007, 58459, 52007, 52265, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50817, 51262, 50828, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 64811, 52167, 50444, 52899, 50817, 51729, 50883, 51262, 50846, 51781, 50898, 52167, 50448, 52899, 52768, 51488, 50911, 51905, 50911, 50454, 52899, 52193, 52899, 50817, 51729, 50895, 51262, 50828, 51781, 50817, 51395, 50911, 51811, 54065, 51252, 50460, 52899, 50811, 55881, 51184, 50956, 51184, 50989, 51184, 50906, 51184, 52343, 51036, 65638, 51184, 53953, 51184, 53654, 51184, 53361, 51184, 51600, 52017, 52405, 52017, 50420, 52191, 50817, 51513, 50883, 51659, 50817, 51543, 51044, 52782, 50424, 52191, 58459, 52191, 52975, 52191, 68676, 50817, 51659, 50817, 51543, 51044, 52782, 50444, 52191, 50817, 51513, 50883, 51659, 50817, 51543, 51044, 52782, 50448, 52191, 52768, 51721, 67897, 52191, 52884, 51990, 68676, 50883, 51659, 50817, 51543, 50949, 52226, 54589, 52167, 58526, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52426, 50983, 52200, 50802, 65143, 51029, 56470, 51029, 53953, 51029, 53654, 51029, 51395, 51496, 51811, 51496, 50420, 52007, 50817, 79007, 51513, 50817, 51659, 50817, 52226, 57838, 52167, 50424, 52007, 58459, 52007, 52265, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50883, 51262, 50828, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 51201, 52282, 51690, 52282, 50791, 52167, 50444, 52899, 50817, 51729, 50883, 51262, 50846, 51781, 50898, 52167, 50448, 52899, 59154, 52899, 52193, 52899, 50817, 51729, 50895, 51262, 50846, 51781, 51041, 51252, 50460, 52899, 50811, 58066, 51184, 51086, 51184, 50956, 51184, 50989, 51184, 52413, 51036, 75386, 51184, 56470, 51184, 53953, 51184, 53654, 51184, 51600, 52266, 52405, 52266, 50420, 53180, 50817, 79007, 51513, 50883, 51659, 50898, 52782, 50424, 53180, 58459, 53180, 52209, 53180, 50811, 79007, 51513, 50883, 51659, 50898, 52782, 50444, 53180, 50817, 51545, 50883, 51513, 50883, 51659, 50898, 52782, 50448, 53180, 52768, 51394, 51090, 53089, 51090, 50454, 55821, 54583, 53180, 50840, 51545, 50883, 51513, 50817, 51659, 51041, 52167, 57497, 51184, 51040, 51184, 50871, 51184, 50965, 51184, 52669, 51605, 77991, 51184, 55080, 51184, 52693, 51184, 54165, 51184, 51629, 52195, 52838, 52195, 59130, 51029, 51040, 51029, 50989, 75422, 51029, 52593, 50983, 67314, 51029, 55080, 51029, 53654, 51029, 53361, 51029, 52164, 65424, 50976, 69889, 50895, 53321, 50837, 55676, 54681, 51990, 50817, 51729, 50817, 51659, 50817, 51543, 51759, 50866, 51270, 56691, 54579, 56465, 50424, 51990, 52968, 52164, 70260, 50976, 52574, 51371, 54800, 50839, 53666, 58027, 51990, 51135, 54937, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50895, 51262, 50883, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 50852, 50866, 51383, 56136, 54487, 51270, 54800, 52904, 52164, 70260, 50975, 69889, 55201, 51270, 54940, 50837, 55820, 55489, 52899, 50817, 51729, 50895, 51262, 50818, 51781, 51759, 50987, 51383, 55150, 54926, 50920, 60411, 52899, 52568, 52164, 55075, 50860, 52574, 51371, 53045, 55079, 51270, 52539, 59753, 52899, 51156, 55433, 52447, 50811, 51729, 50895, 51262, 50818, 51781, 51759, 68814, 53045, 58323, 51270, 56047, 50920, 61994, 51270, 50825, 58066, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52413, 50983, 75386, 51029, 56470, 51029, 53953, 51029, 53654, 51029, 52164, 65424, 50976, 52574, 51371, 55004, 50895, 53321, 50837, 55676, 54681, 53180, 50817, 79007, 51513, 50817, 51659, 51759, 50866, 51270, 53045, 54579, 56465, 50424, 53180, 52968, 52164, 70260, 50976, 52574, 51371, 56136, 50839, 53666, 58027, 53180, 51156, 54937, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50817, 51262, 50818, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 50852, 50866, 51383, 53836, 54487, 51270, 55692, 52904, 52164, 70260, 50975, 69889, 55201, 51270, 54940, 50837, 55820, 55489, 52899, 50817, 51729, 50895, 51262, 50828, 51781, 51759, 50987, 51383, 56691, 54926, 50920, 60411, 52899, 52768, 52164, 55075, 50860, 52574, 51371, 54857, 50846, 54287, 59753, 52899, 50898, 55433, 52899, 50817, 51729, 50895, 51262, 50846, 51781, 51759, 68814, 56136, 54814, 50920, 61994, 52191, 50811, 59130, 51029, 51040, 51029, 50989, 75422, 51029, 52593, 50983, 67314, 51029, 55080, 51029, 53654, 51029, 53361, 51029, 52164, 65424, 50976, 69889, 50895, 53321, 50837, 55676, 54681, 51990, 50817, 51729, 50817, 51659, 50817, 51543, 52586, 50866, 51270, 56691, 54579, 56465, 50424, 51990, 52968, 52164, 70260, 50976, 52574, 51371, 54800, 50839, 53666, 58027, 51990, 51041, 54937, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50883, 51262, 50818, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 50852, 50866, 51383, 56136, 54487, 51270, 54800, 52904, 52164, 70260, 50975, 69889, 55201, 51270, 54940, 50837, 55820, 55489, 52899, 50817, 51729, 50895, 51262, 50828, 51781, 52586, 50987, 51383, 55150, 54926, 50920, 60411, 52899, 52568, 52164, 55075, 50860, 52574, 51371, 53045, 55079, 51270, 52539, 59753, 52899, 50898, 55433, 52447, 50962, 51729, 50895, 51262, 50818, 51781, 52586, 68814, 53045, 58323, 51270, 56047, 50920, 61994, 51270 ]

[ 0, 250, 15352, 30054, 11057, 1011, 625, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 483, 7513, 30, 41, 21979, 9590, 8, 21072, 4, 20, 2214, 7630, 6568, 10, 1372, 8, 19448, 6711, 6, 19, 10, 11602, 9, 1619, 4780, 4, 85, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6543, 8, 16, 278, 11, 5, 762, 9, 274, 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 ]

[ 54458, 51755, 53106, 54928, 50856, 51051, 74354, 51025, 50876, 51377, 50931, 51346, 50871, 51255, 50899, 51534, 50421, 51140, 59606, 51851, 50425, 51140, 51466, 52653, 50804, 51862, 50432, 50856, 51051, 50433, 50804, 52059, 50801, 51998, 50434, 51147, 51294, 51001, 51204, 50965, 51191, 51028, 51351, 50989, 50981, 50436, 51248, 50397, 50443, 51140, 55924, 51851, 50447, 51140, 51333, 52653, 50903, 51806, 50455, 50877, 64924, 51419, 50801, 50360, 51024, 54553, 53553, 50861, 74826, 60138, 52025, 57268, 53106, 54928, 52177, 51140, 50886, 57493, 63272, 73768, 51140, 51330, 52653, 50804, 67836, 50989, 51380, 75417, 51114, 51056, 51028, 51253, 51001, 51380, 50801, 50358, 51002, 52059, 50856, 72435, 50916, 54228, 51361, 51051, 50439, 51140, 50886, 60409, 51851, 50443, 51140, 51365, 50903, 51806, 52653, 54141, 79626, 50931, 62141, 66813, 77798, 54835, 61212, 65126, 54928, 50461, 51389, 51108, 57126, 50854, 69429, 50900, 56897, 50851, 51402, 50959, 50425, 50801, 51998, 50428, 51098, 51142, 50902, 53156, 72153, 51051, 78414, 52946, 80035, 50900, 51550, 50439, 51668, 50851, 62389, 62094, 51086, 50912, 70795, 51028, 57261, 51806, 52653, 50856, 60333, 51150, 52996, 50916, 54228, 50989, 51775, 50801, 53106, 54928, 50856, 51051, 50451, 50997, 53096, 50461, 52653, 50856, 51051, 52591, 51098, 60776, 51705, 50827, 50965, 52136, 50871, 53577, 51040, 54211, 50801, 50358, 51024, 65173, 50956, 61124, 50424, 51140, 54590, 50301, 74478, 54928, 50856, 71666, 50903, 51806, 52653, 50856, 51051, 50439, 51461, 51297, 50443, 52659, 50874, 50861, 58059, 50360, 51024, 54553, 51126, 50445, 66908, 50446, 52157, 51965, 50801, 53106, 51248, 50797, 51051, 51206, 52179, 50447, 50871, 53674, 50455, 71773, 50457, 52653, 50856, 51051, 52177, 50801, 50358, 51024, 54711, 51560, 51852, 54928, 50856, 51051, 50421, 50902, 51003, 50431, 50903, 51806, 52653, 50856, 51051, 50439, 51560, 56029, 50360, 51024, 74787, 62198, 50442, 51273, 53697, 50801, 53106, 54928, 50856, 51051, 57428, 51008, 51382, 51252, 50453, 51522, 51709, 50989, 52415, 50314, 50978, 52653, 50856, 71105, 50900, 51470, 50461, 50801, 50358, 51024, 50851, 51809, 51098, 54344, 50900, 51524, 50902, 51142, 54928, 50856, 51051, 74850, 51862, 70742, 50427, 51668, 69136, 51008, 50903, 51806, 52653, 50856, 51051, 50428, 51086, 53130, 50321, 68250, 50984, 50871, 55811, 55957, 53269, 51150, 53164, 50318, 51000, 54928, 50856, 51051, 50439, 51001, 62847, 55574, 50877, 55574, 50997, 53892, 50899, 55765, 50440, 50968, 51423, 56576, 70936, 52653, 50856, 51051, 50457, 51098, 50907, 50902, 53617, 51998, 50459, 50916, 56563, 50877, 56563, 50997, 56458, 50460, 51493, 52136, 54928, 50856, 51051, 50461, 72991, 51601, 59715, 50418, 50968, 51123, 50421, 50902, 63285, 50903, 51806, 52653, 50856, 51051, 50424, 50968, 51423, 50431, 51140, 51423, 77431, 51422, 55481, 53106, 54928, 50856, 51051, 50442, 50997, 50984, 50956, 59002, 52653, 50856, 51051, 56222, 70738, 50906, 60554, 54021, 50827, 53691, 54036, 50358, 51024, 54622, 53240, 80095, 50866, 54928, 50856, 51051, 51601, 50989, 52378, 50416, 51150, 51365, 50956, 52996, 50417, 51027, 58576, 50419, 50876, 51006, 50903, 51806, 52653, 50856, 77946, 51140, 54848, 50427, 51522, 53529, 50305, 54715, 50360, 51024, 64756, 51261, 53697, 60714, 50931, 52482, 50431, 51028, 53111, 72153, 51051, 50433, 50902, 54137, 72529, 50439, 50899, 51269, 50442, 51493, 52056, 52653, 50856, 51051, 50449, 50801, 50358, 51024, 53567, 50871, 60554, 51560, 52256, 51040, 52136, 67692, 54928, 62373, 50460, 50906, 50857, 51809, 50903, 51806, 52653, 50856, 51051, 50419, 50861, 55754, 51273, 62055, 62763, 51273, 54228, 73306, 54928, 50856, 51051, 55481, 51252, 51570, 62718, 51051, 50445, 51522, 50851, 50906, 62465, 60812, 50900, 50972, 50449, 51098, 53096, 50871, 53130, 50318, 50912, 54928, 50856, 63234, 50801, 79530, 50931, 50866, 50460, 51668, 51534, 73754, 56963, 51086, 51058, 50903, 51806, 52653, 50856, 51051, 53069, 50801, 52794, 53158, 54252, 51705, 51297, 51150, 51123, 50902, 52048, 50951, 60540, 58556, 50313, 55036, 50302, 53697, 50801, 53106, 54928, 62373, 50434, 51098, 51123, 51461, 53164, 50323, 50917, 52653, 50856, 51051, 68959, 50358, 51024, 63540, 51493, 53697, 50916, 52598, 50997, 54532, 50877, 54557, 50951, 54196, 72153, 51051, 50448, 51147, 54939, 50951, 71105, 50931, 55293, 51098, 52996, 50903, 51806, 52653, 50856, 51051, 50457, 50951, 51100, 51601, 50801, 52794, 50416, 50856, 59010, 75660, 51062, 51295, 50418, 50951, 51851, 50419, 51140, 53280, 50801, 53106, 54928, 62373, 50421, 50999, 51961, 50428, 50997, 51269, 50861, 54731, 50307, 62618, 52653, 50856, 71666, 63095, 50437, 51216, 71747, 53106, 50438, 50968, 55921, 51051, 50441, 51261, 51550, 51668, 52441, 51001, 51328, 54928, 62373, 50448, 51224, 52167, 50449, 50965, 52666, 50305, 52666, 50307, 51000, 50452, 50903, 51806, 52653, 50856, 72647, 51522, 74068, 54146, 50856, 51051, 51601, 51261, 55812, 51787, 50921, 51081, 51623, 51405, 51896, 52052, 77598, 53106, 50804, 51709, 54928, 51206, 51862, 50416, 50900, 51244, 50956, 51675, 65218, 51176, 51591, 50418, 51487, 51047, 53951, 54691, 51302, 56373, 52653, 50856, 51051, 50433, 51930, 60600, 53106, 50856, 51051, 50437, 56864, 51749, 54928, 50856, 68982, 51224, 53106, 50448, 50903, 51806, 52653, 50856, 51051, 50455, 50801, 56373, 50856, 72647, 55616, 52618, 54928, 50856, 51051, 53069, 51040, 52995, 54711, 50906, 62614, 76962, 53096, 50956, 58640, 54021, 61887, 52653, 50856, 75912, 50956, 57094, 52858, 50318, 51455, 50300, 50974, 50430, 50801, 51998, 50433, 51793, 55574, 54928, 50856, 68630, 75337, 50900, 55505, 50306, 65721, 52192, 50435, 51176, 51365, 50444, 51261, 52996, 51081, 70571, 51806, 52653, 50856, 51051, 50445, 50899, 51172, 50861, 52363, 50322, 51514, 50303, 63422, 52169, 50300, 69138, 53131, 50319, 51365, 50455, 51930, 52482, 50801, 53106, 54928, 50856, 63234, 50900, 52059, 50999, 51412, 50931, 51753, 50871, 54836, 50902, 52063, 50906, 52858, 50299, 51884, 51601, 50804, 51252, 50418, 52653, 50856, 51051, 50425, 51705, 51258, 50931, 52762, 50801, 50358, 51024, 56552, 51098, 54590, 50311, 54521, 50876, 55812, 50899, 55812, 50999, 52207, 51051, 62373, 50430, 51081, 50978, 50433, 50999, 68522, 72310, 50440, 50861, 53024, 50903, 51806, 52653, 50856, 68982, 50951, 52513, 51560, 50912, 50999, 64598, 62373, 50451, 51273, 55036, 50323, 51518, 54928, 50856, 56573, 50871, 70567, 59220, 50851, 56451, 51199, 52653, 50856, 51051, 50419, 50877, 62488, 50876, 55401, 51998, 50425, 51098, 56615, 51028, 54042, 72153, 68630, 50965, 51753, 51086, 53726, 50871, 55584, 50436, 51668, 70024, 59355, 51806, 52653, 50856, 77302, 51150, 54228, 51001, 61579, 52441, 50876, 54590, 50311, 55574, 50997, 54848, 50801, 53106, 54928, 50856, 51051, 50455, 50804, 51252, 50458, 52653, 50856, 51051, 52177, 73057, 50418, 50956, 59244, 50835, 50997, 71073, 50358, 51024, 68483, 51461, 54228, 50902, 51277, 67136, 50956, 50907, 54928, 50856, 51051, 66345, 51123, 50428, 50956, 55863, 51001, 59244, 52518, 50431, 50997, 51998, 64551, 50984, 50931, 51328, 50903, 51806, 52653, 50856, 51051, 50436, 51261, 50941, 50439, 51216, 51524, 50440, 51001, 69303, 51954, 50305, 71015, 76065, 51522, 51645, 50801, 53106, 54928, 50856, 60333, 66908, 51040, 51008 ]

[ 0, 250, 765, 3495, 2214, 11, 12608, 538, 19, 10, 19448, 8, 3722, 16464, 6, 8668, 12049, 9, 657, 149, 63, 15352, 30054, 15229, 4, 85, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 6, 19, 10, 33215, 16739, 9, 272, 119, 6, 2060, 6, 163, 428, 401, 6, 230, 119, 6, 8, 163, 428, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50900, 61579, 61579, 51517, 50300, 51080, 61104, 58194, 61306, 54498, 50956, 61306, 66743, 51080, 51176, 51592, 56415, 50932, 56178, 61306, 58327, 50932, 53523, 61579, 58794, 58327, 54498, 51040, 72110, 58194, 59478, 54980, 51050, 72110, 61306, 61306, 50932, 55881, 61579, 58327, 51283, 50861, 62666, 51197, 72110, 55665, 50906, 52718, 51050, 51080, 50965, 77132, 51592, 50965, 51243, 55881, 58794, 54869, 51360, 71117, 58194, 54498, 51085, 51080, 51176, 51080, 50956, 51080, 50965, 51080, 57190, 61306, 51080, 56546, 54498, 50900, 61306, 66985, 51080, 51176, 51592, 50450, 51040, 59478, 50932, 56178, 58327, 66985, 50932, 53523, 61579, 61306, 66985, 54498, 51040, 72110, 60700, 61306, 51080, 55895, 61579, 66985, 50932, 54955, 51283, 50956, 51283, 50906, 51283, 51001, 79309, 51176, 60420, 59316, 55512, 52718, 50956, 67835, 51592, 50956, 51243, 50906, 51243, 54578, 51080, 62144, 54498, 50956, 51592, 50861, 51592, 50906, 51592, 50906, 51592, 50796, 55203, 61306, 66985, 51080, 51001, 51080, 64057, 58794, 50932, 58526, 58194, 51517, 50324, 51283, 51147, 51283, 56759, 58794, 55665, 50931, 57643, 52718, 50965, 62447, 51243, 51001, 51243, 51001, 51243, 56222, 51080, 55746, 50956, 54498, 51176, 69711, 58327, 60700, 54980, 50956, 51517, 50300, 66743, 51080, 51001, 51080, 54578, 54869, 51176, 69711, 58327, 58327, 54498, 50876, 51283, 51040, 68026, 51080, 50965, 51080, 50456, 50906, 50838, 57190, 61306, 72110, 51080, 50916, 51080, 62144, 61306, 54498, 51360, 72110, 58194, 59478, 54980, 51360, 51592, 51040, 51592, 50871, 51592, 50965, 51592, 61627, 51360, 51517, 50300, 58194, 61306, 54980, 51085, 51592, 51176, 51592, 50956, 51592, 50965, 51592, 61627, 51360, 51517, 50300, 72110, 58194, 54980, 51197, 51592, 51026, 51592, 50900, 51592, 50956, 51592, 61627, 51197, 51080, 51026, 77132, 51080, 50956, 51080, 53975, 58194, 61306, 71445, 51080, 61104, 61306, 65521, 54498, 51197, 51080, 50956, 51080, 50965, 66743, 51080, 55881, 61579, 58794, 58327, 54869, 51197, 51517, 50300, 61306, 58327, 54498, 50906, 59478, 71445, 51080, 51040, 66405, 50965, 61306, 50932, 56178, 58327, 51283, 51197, 67835, 51080, 61104, 55665, 50906, 52718, 51176, 51243, 80141, 50956, 51243, 50965, 51243, 61627, 51176, 77132, 51080, 50956, 51080, 50965, 51080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 182, 1769, 8, 765, 37903, 9, 5175, 3495, 930, 11, 230, 538, 6, 4246, 10, 13305, 816, 10, 881, 13931, 9, 230, 6, 274, 6, 274, 10431, 37152, 6, 1918, 6, 8, 230, 119, 40286, 6, 2351, 41, 20425, 8, 15352, 30054, 5466, 19, 10, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 65919, 51876, 50995, 51578, 51283, 51837, 76906, 51876, 61271, 51578, 51079, 51837, 54137, 51876, 51097, 52381, 50972, 52461, 55200, 51578, 51079, 51837, 54323, 51876, 51097, 51948, 50972, 52353, 54509, 51578, 51965, 51837, 51318, 64680, 58187, 51708, 51097, 51435, 51108, 51578, 56656, 51708, 51097, 51639, 51108, 51516, 57105, 51708, 51097, 51275, 51108, 51435, 50995, 65364, 50995, 51308, 51283, 51275, 78046, 51706, 61271, 51308, 51079, 51275, 54137, 50638, 51706, 51097, 51119, 50972, 51777, 69151, 50638, 50444, 50638, 51308, 51079, 51275, 61554, 50638, 50450, 50638, 51706, 51097, 51777, 50972, 51489, 67763, 50638, 50456, 50638, 51275, 51965, 51435, 51318, 50459, 50638, 65919, 52040, 58187, 52040, 51097, 51275, 51108, 51435, 56656, 50638, 52040, 51097, 51777, 51108, 51489, 77052, 50638, 50444, 50638, 50447, 50638, 50450, 50638, 51706, 51097, 51308, 51108, 51275, 73959, 50638, 50456, 50638, 50459, 50638, 65919, 51708, 50995, 51119, 51283, 51153, 78046, 51708, 61271, 51275, 51965, 51435, 51318, 50438, 51708, 59124, 51708, 51097, 51435, 51637, 51578, 51318, 74421, 60726, 51578, 51965, 51837, 76906, 52477, 57937, 52477, 51097, 51516, 51108, 51948, 57105, 52477, 51097, 51435, 51108, 51578, 50995, 65237, 50995, 51516, 50838, 51948, 55041, 51435, 51079, 51578, 54335, 51869, 51097, 51099, 50972, 51153, 54342, 51119, 51079, 51777, 54137, 50638, 51869, 50974, 51308, 50972, 51275, 69151, 50638, 50444, 50638, 51706, 50838, 51435, 51330, 51578, 50995, 50447, 50638, 50450, 50638, 52040, 70184, 50638, 50456, 50637, 51280, 50838, 51489, 51079, 51516, 60864, 50637, 52177, 50638, 50420, 51280, 50838, 51489, 51079, 51837, 54335, 51198, 50974, 51435, 50974, 51837, 53052, 51561, 50838, 52070, 50974, 51837, 52718, 51232, 50974, 51516, 51108, 51837, 59242, 51280, 52985, 51869, 51097, 59649, 50995, 51435, 51283, 51578, 78046, 51876, 61271, 51489, 51079, 52381, 54137, 51876, 51097, 51435, 50972, 51578, 55200, 51516, 51079, 51948, 54323, 51876, 51097, 52381, 50972, 52461, 54509, 51578, 52783, 51837, 51803, 79921, 58187, 52746, 57937, 52746, 51097, 51516, 51108, 52353, 57105, 52746, 51097, 51578, 51108, 52778, 50995, 62404, 50995, 51948, 51283, 52709, 78046, 52176, 61271, 51435, 51965, 52353, 51318, 50438, 52176, 59124, 52176, 51097, 51275, 51108, 51435, 50995, 78323, 50995, 51435, 51080, 51837, 72440, 53646, 57937, 53646, 51097, 51777, 51314, 51948, 77307, 53646, 51097, 64680, 50995, 51153, 51283, 51578, 78046, 51708, 61271, 51435, 51965, 52353, 51318, 50438, 52477, 59124, 52477, 51097, 51578, 51108, 52709, 50995, 65237, 50995, 51948, 50838, 55165, 55041, 51578, 51079, 52709, 54335, 51869, 51097, 51435, 50972, 52353, 54342, 52070, 51079, 53629, 54137, 51280, 51097, 51516, 50972, 52778, 55200, 51578, 51079, 52709, 54323, 51280, 51097, 51948, 51108, 53519, 50995, 78323, 50905, 51578, 50838, 52709, 55041, 53646, 50838, 51578, 51079, 52709, 56307, 53646, 50974, 51578, 50974, 52709, 53052, 52746, 50932, 51948, 51097, 52709, 56350, 52746, 50932, 51516, 51097, 52709, 56109, 52746, 50838, 51948, 50974, 52709, 50838, 59649, 50995, 51578, 50932, 52709, 58326, 51876, 51097, 51119, 51108, 51435, 50995, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 182, 765, 37903, 9, 5175, 15855, 930, 4246, 10, 13305, 6, 278, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 182, 1769, 20889, 9, 8963, 13410, 228, 2289, 6, 7630, 14805, 10, 11739, 9, 25306, 6, 15352, 30054, 6, 20425, 6, 2933, 6, 8, 1372, 6711, 29, 624, 63, 33744, 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 ]

[ 71691, 51220, 54869, 50951, 56350, 51062, 52985, 51220, 53581, 50999, 50838, 56229, 54177, 50999, 52688, 51220, 52718, 51062, 53624, 51062, 54980, 51220, 56109, 51062, 50932, 52591, 51220, 55665, 50999, 56109, 50902, 50932, 52591, 50951, 52688, 50951, 53052, 50951, 54498, 51114, 53624, 50968, 50838, 55331, 54177, 50951, 52688, 50951, 53052, 50951, 52718, 51114, 53624, 50968, 52985, 50902, 53581, 50999, 50838, 58479, 54177, 50951, 52688, 51114, 53052, 50951, 52718, 50999, 56350, 50951, 50838, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 21979, 8669, 6, 2382, 3459, 8669, 6, 13305, 6, 8, 6755, 12547, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 6, 657, 6, 8, 10, 11602, 9, 1619, 4780, 4, 20, 33215, 16739, 9, 3676, 6, 230, 6, 8, 211, 3639, 7, 63, 16634, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 66243, 73424, 51217, 50938, 50988, 62803, 53160, 50828, 51332, 53219, 50885, 50921, 50847, 50921, 50909, 50980, 50868, 51055, 50847, 51566, 51332, 52195, 58463, 75723, 50847, 53938, 50847, 73953, 79396, 51021, 50847, 51030, 50909, 76342, 51093, 59643, 65734, 50938, 72803, 59589, 50459, 51266, 50812, 51332, 71488, 50855, 70564, 58239, 51033, 50847, 51379, 50909, 51932, 50872, 51454, 50847, 51454, 51171, 51761, 50420, 51266, 58239, 67078, 50847, 53803, 51093, 58239, 50952, 62486, 50847, 50940, 50872, 51030, 50909, 60022, 51088, 51141, 72797, 50885, 50897, 63866, 65940, 50909, 57907, 51171, 70391, 53574, 50885, 51014, 50872, 51603, 50847, 76601, 51932, 50909, 51072, 51164, 51552, 58463, 57415, 51093, 57954, 51014, 50872, 51021, 50847, 51030, 72976, 50909, 58760, 51357, 50915, 56740, 50872, 55269, 53848, 51164, 64961, 50988, 52536, 64933, 53435, 50848, 54055, 76750, 53435, 50935, 54055, 50420, 51113, 50845, 51070, 52976, 51357, 54259, 51093, 51692, 51070, 53569, 51070, 55686, 51070, 54044, 69603, 50770, 50306, 56934, 51070, 51319, 59007, 50924, 50909, 51346, 74085, 51332, 51285, 51769, 53829, 53771, 50865, 50868, 62862, 52928, 53771, 66608, 51033, 50909, 51566, 80032, 50868, 51196, 50909, 51356, 50432, 53771, 70845, 56282, 53771, 50948, 69230, 51332, 51159, 68272, 50909, 67645, 53771, 56567, 68527, 51236, 52772, 53077, 50936, 50848, 50921, 50935, 51346, 51791, 51290, 50847, 51290, 51170, 52579, 53077, 51013, 61995, 59007, 50917, 50909, 51162, 50850, 51157, 51688, 64739, 53250, 51623, 67593, 51236, 52928, 50868, 58149, 51566, 50885, 51356, 50850, 51336, 50850, 51356, 50435, 50868, 53574, 69230, 51688, 51346, 50909, 65346, 66853, 51170, 52802, 50868, 50921, 50850, 51427, 50909, 51160, 51688, 50980, 50453, 51240, 53017, 76230, 59008, 52097, 50420, 53407, 79854, 59004, 52928, 53407, 73953, 51192, 50872, 51167, 50850, 51285, 50432, 53407, 59894, 53407, 50952, 67759, 50872, 51346, 51164, 51204, 50444, 53407, 62773, 75723, 51236, 52772, 53771, 51030, 50885, 51454, 50872, 51055, 50850, 51090, 51170, 52579, 53771, 51013, 51164, 50917, 57746, 52195, 50420, 53077, 51103, 50848, 61150, 52928, 50848, 51460, 50847, 51603, 50935, 56158, 50872, 51160, 50847, 51454, 50909, 51055, 51164, 67388, 60969, 51170, 52802, 50935, 50894, 51042, 50980, 50848, 51345, 50988, 51055, 50847, 58031, 50909, 51116, 51240, 50829, 59007, 50924, 50909, 51346, 74085, 51332, 51285, 51236, 56390, 51236, 53070, 53771, 50917, 51555, 68668, 55044, 50868, 62862, 55215, 54104, 51240, 52639, 53771, 50948, 51555, 50942, 50868, 51033, 50847, 51566, 50909, 51566, 50868, 51196, 50909, 51356, 51236, 53063, 53771, 50865, 51555, 50977, 50868, 56282, 53771, 50924, 51555, 50942, 69230, 51332, 51159, 68272, 50909, 67645, 53771, 50795, 51555, 55077, 68527, 51236, 52772, 53077, 50924, 51783, 50942, 50871, 53265, 50848, 50921, 50935, 51346, 51791, 51290, 50847, 51290, 51170, 52579, 51783, 51157, 61995, 50457, 53077, 51016, 59007, 50917, 50909, 51162, 50850, 51157, 51688, 64739, 53250, 51103, 52041, 51244, 50916, 53700, 67593, 51236, 52928, 50868, 58149, 51566, 50885, 51356, 50850, 51336, 50850, 51356, 50435, 50868, 53574, 69230, 51688, 51346, 50909, 65346, 66853, 51170, 52802, 50868, 50921, 50850, 51427, 50909, 51160, 51688, 50980, 50453, 51240, 53017, 76230, 59008, 52097, 50420, 53407, 50937, 51584, 66388, 54830, 50885, 59004, 52928, 53407, 50948, 51584, 50897, 50885, 51192, 50872, 51167, 50850, 51285, 50432, 53407, 50800, 51584, 56057, 53407, 50924, 51584, 50878, 67759, 50872, 51346, 51164, 51204, 50444, 53407, 50948, 51584, 50955, 67386, 50447, 51236, 58145, 51584, 59881, 53771, 78769, 51454, 50872, 51055, 50850, 51090, 51170, 52579, 53771, 51016, 51164, 50917, 50457, 51555, 62614, 51998, 50460, 51584, 62391, 51998, 57342, 50910, 68272, 50935, 51159, 50988, 51189, 50415, 51555, 51148, 50861, 55044, 50420, 53077, 51351, 60893, 51236, 52928, 61325, 50847, 51290, 50935, 51290, 50432, 61059, 50435, 50988, 69705, 50848, 50952, 50847, 51345, 50935, 76264, 53771, 72635, 54672, 50988, 65223, 53077, 72201, 51167, 50935, 51215, 50847, 51160, 50832, 53563, 53250, 51362, 50988, 50858, 50799, 52133, 51047, 51743, 51145, 51615, 52644, 64339, 50847, 51346, 50909, 51112, 51164, 51362, 51335, 51464, 53203, 63866, 65747, 52712, 53771, 56674, 51021, 50909, 51603, 50847, 51566, 55347, 54121, 52925, 53077, 51356, 51164, 50879, 72894, 50872, 53813, 53541, 51244, 51881, 51127, 50848, 57618, 51346, 50847, 51073, 50988, 51226, 51956, 51180, 54492, 50848, 59608, 52743, 50848, 51483, 50847, 51379, 50935, 51454, 55347, 54763, 53268, 50988, 50936, 72446, 53077, 59262, 50840, 55972, 50799, 52133, 50943, 52033, 50981, 53771, 50806, 51555, 54828, 56120, 50868, 50924, 50847, 51227, 50909, 51345, 51332, 51454, 51956, 50420, 53250, 50808, 66732, 65747, 58092, 52041, 50822, 50916, 51998, 50423, 53077, 51160, 50424, 51783, 51116, 50871, 55177, 50426, 53541, 50995, 51881, 51003, 50848, 51033, 50847, 51500, 50935, 51290, 51791, 51013, 58246, 54121, 52925, 53771, 69855, 50910, 51468, 50433, 51555, 69937, 51998, 50435, 53250, 51446, 50436, 52041, 51318, 50916, 52722, 50438, 53389, 51103, 52033, 51145, 51656, 51148, 50868, 50952, 76581, 50909, 51055, 51688, 51285, 51762, 66368, 50938, 72556, 50946, 50940, 51236, 52763, 50868, 79393, 51460, 50909, 51160, 62418, 56233, 55007, 50946, 73575, 66732, 51956, 50799, 52133, 51293, 51743, 51445, 51615, 52096, 51164, 51100, 50885, 51346, 50872, 51162, 71868, 51471, 50420, 53250, 50890, 65747, 53868, 51164, 78769, 63492, 53250, 79854, 51286, 50872, 51566, 50847, 51454, 50850, 51870, 55347, 54121, 52925, 53250, 51030, 51164, 51294, 72894, 50885, 53813, 53250, 62773, 50948, 50872, 51073, 75897, 51956, 50444, 56213, 51030, 73424, 78718, 51164, 50830, 51236, 52743, 53250, 51030, 50885, 50940, 50872, 66857, 51388, 50847, 51235, 55347, 54763, 54859, 51164, 66911, 53077, 51343, 50885, 50940, 72446, 50872, 50836, 50799, 53541, 51359, 51881, 51353, 50848, 51227, 50847, 51500, 50935, 51345, 50988, 51048, 50856, 52139, 78411, 52639, 50848, 51685, 50847, 52827, 50935, 52827, 50988, 52282, 50432, 53077, 58818, 53077, 50911, 50443, 65856, 69279, 53771, 52610, 53407, 57241, 54985, 51055, 51240, 54814, 51240, 50846, 54309, 52195, 51615, 52096, 51711, 52644, 50868, 50921, 50847, 51566, 50909, 51290, 51332, 51541, 52047, 51241, 51020, 51109, 51092, 51400, 51335, 53735, 51041, 53995, 53420, 53863, 51073, 67593, 69477, 50982, 57417, 52976, 50868, 76798, 51030, 50909, 51030, 51020, 51111, 51092, 51124, 51068, 51044, 52539, 52844, 53863, 50890, 51555, 50870, 51567, 60924, 70361, 52254, 66853, 58966, 70141, 52047, 50879, 69477, 58721, 53863, 50880, 51555, 50836, 51567, 50884, 51332, 70424, 56081, 51987, 54114, 51181, 50962, 53863, 50911, 51555, 50948, 51567, 56674, 51500, 50847, 51055, 50909, 51290, 51171, 51059, 51763, 61760, 51346, 51092, 51400, 52120, 51987, 53114, 51181, 51496, 53407, 50890, 51783, 50857, 51584, 62464, 71233, 52254, 58787, 55686, 53407, 51235, 51783, 51124, 51584, 51235, 50920, 52846, 50872, 56977, 51290, 50909, 51566, 51020, 51159, 51092, 51157, 51068, 51406, 53045, 53173, 53771, 50865, 52041, 50867, 51555, 65802, 76741, 52254, 51171, 50893, 51763, 50978, 58787, 56232, 52041, 51194, 51555 ]

[ 0, 250, 12298, 3495, 2214, 14, 7630, 6568, 5, 4780, 9, 1619, 6, 42, 2125, 16, 17407, 30, 63, 32076, 34879, 8, 8728, 223, 34693, 6, 2351, 10, 19448, 8, 1372, 5466, 4, 590, 10, 23667, 20889, 9, 18872, 13410, 228, 2289, 8, 278, 11, 5, 762, 9, 274, 538, 6, 5, 2214, 1575, 10, 20902, 3222, 5785, 227, 13305, 6, 6755, 12547, 6, 326, 5638, 18026, 6, 21072, 6, 8, 3459, 9590, 6, 70, 11491, 13871, 561, 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 ]

[ 54458, 50415, 51120, 52062, 50422, 51027, 53674, 50428, 50916, 53674, 50435, 50989, 51244, 50449, 51027, 51961, 50455, 50916, 51333, 50461, 55117, 51000, 57126, 51490, 50416, 50856, 56933, 51065, 65942, 50856, 53336, 52351, 50369, 50793, 50615, 51605, 50421, 51120, 52151, 50428, 51027, 51637, 50435, 50916, 52136, 50440, 50856, 60604, 50989, 71106, 51881, 53201, 50455, 51027, 51797, 55524, 51412, 50417, 51027, 51645, 50419, 55117, 58333, 51146, 53184, 51430, 75027, 51120, 51313, 51787, 50889, 52351, 63520, 51027, 51642, 50440, 50916, 51134, 50447, 51114, 64870, 51114, 51411, 51146, 51233, 50460, 51027, 50892, 51601, 51430, 50937, 50416, 51114, 50982, 50418, 50916, 51100, 50424, 71216, 55117, 63026, 51065, 71362, 55117, 71371, 50999, 51400, 51114, 51400, 51120, 51677, 50432, 52351, 59295, 54968, 51027, 51333, 50443, 51656, 51961, 65827, 53957, 50445, 50913, 51241, 60027, 51108, 50856, 60376, 50989, 53892, 50457, 51615, 51381, 51601, 51027, 50974, 50422, 61412, 50913, 51290, 50423, 52332, 51330, 50425, 51027, 70134, 52560, 77045, 50902, 75101, 50856, 62357, 50968, 50952, 51065, 58406, 50856, 76082, 51234, 61026, 51351, 50931, 51115, 52913, 56030, 50902, 50863, 51743, 52204, 50441, 50997, 64457, 50899, 51191, 50913, 51362, 50454, 50968, 63804, 55735, 58398, 50460, 50951, 59460, 50942, 50906, 50981, 53069, 50997, 51346, 50871, 51221, 50425, 50913, 51541, 50426, 50931, 55224, 70798, 55025, 54728, 50876, 51189, 50997, 52222, 69332, 51380, 52913, 67235, 50913, 51091, 50452, 50899, 51965, 50458, 73895, 57731, 50871, 50905, 50945, 50892, 50424, 50913, 59225, 60509, 51186, 60096, 51226, 50433, 57956, 50436, 51146, 50925, 51011, 60095, 53219, 51430, 68258, 64100, 50953, 52903, 54235, 50864, 51881, 51449, 50856, 69824, 51339, 51362, 50445, 51026, 51703, 64057, 51627, 50455, 50899, 51753, 63908, 74380, 50856, 51031, 54594, 51645, 50421, 50906, 51189, 53337, 64662, 50861, 53189, 73898, 66557, 52351, 50373, 53323, 63895, 58368, 50445, 51050, 51662, 50902, 51318, 50906, 65910, 51314, 52133, 51080, 50856, 64281, 52820, 70834, 50899, 51419, 50458, 50861, 50981, 50913, 50890, 51601, 52018, 51060, 50416, 75172, 50422, 53181, 51080, 50423, 50968, 50807, 51720, 70583, 50899, 51172, 72959, 57869, 66638, 51271, 58831, 51010, 50436, 50856, 51004, 50442, 51133, 51884, 50448, 51120, 52015, 50899, 74468, 51542, 50902, 51477, 51881, 52136, 50856, 61576, 51271, 51295, 50455, 51027, 51079, 50461, 50916, 51709, 50913, 50930, 53069, 63268, 50989, 51365, 52033, 51642, 50856, 53336, 52657, 51991, 50426, 51114, 51313, 50989, 52011, 52332, 51314, 74769, 53470, 50916, 65562, 50989, 51413, 55117, 65170, 51120, 52015, 50899, 50838, 52351, 50813, 51656, 51314, 50452, 51838, 50981, 50457, 51027, 50892, 50799, 52225, 51351, 50416, 50916, 51110, 52196, 51267, 53093, 51233, 50421, 50989, 73238, 51271, 50936, 50428, 50877, 51212, 51011, 51346, 51881, 53487, 53129, 51097, 52058, 51095, 50429, 52601, 51162, 50434, 51027, 50893, 50436, 53267, 57320, 52566, 51126, 50439, 52697, 67264, 50899, 51157, 53260, 50834, 51838, 50943, 50441, 53000, 50837, 55117, 50880, 52384, 51095, 50903, 63895, 54012, 51112, 50945, 50862, 53039, 59692, 51027, 78373, 53436, 59843, 54428, 63319, 51146, 50858, 53647, 56669, 51111, 50448, 54723, 69698, 51430, 50854, 51339, 54004, 55802, 62785, 51787, 78599, 53674, 51120, 51109, 51271, 51016, 55372, 51693, 52351, 52207, 55130, 75903, 57545, 50908, 51656, 51692, 52058, 51091, 50455, 57570, 51896, 50460, 51027, 59215, 50846, 52478, 50899, 67638, 53732, 53423, 51271, 60743, 50999, 50910, 51146, 50865, 53093, 51420, 52816, 60155, 50999, 51328, 51430, 50991, 53093, 51790, 50436, 51027, 50940, 51271, 51055, 58005, 50439, 56065, 51178, 50440, 69165, 51146, 50812, 51615, 51419, 50442, 50903, 56034, 72631, 50916, 50805, 50448, 53883, 50910, 51011, 50873, 55117, 60374, 51147, 50820, 51114, 67095, 51090, 50843, 67509, 55117, 62564, 52332, 51742, 50455, 57570, 51541, 51271, 51541, 52351, 52411, 51864, 54450, 51120, 51241, 50461, 63360, 56310, 50995, 50416, 52058, 51212, 57340, 51097, 50843, 72185, 65602, 50989, 51484, 50425, 52384, 57629, 54012, 50858, 55117, 54739, 51864, 60760, 64001, 51271, 56629, 51656, 51591, 50843, 56748, 52351, 50809, 52698, 50991, 50434, 52601, 51446, 51570, 57014, 51120, 59537, 50854, 51271, 64733, 52058, 51377, 50852, 62746, 75568, 51027, 50910, 52560, 61925, 50899, 65170, 60537, 51271, 50893, 50452, 50843, 57637, 58368, 50458, 50902, 51961, 50906, 51542, 50931, 51961, 51234, 50892, 51186, 51191, 53181, 52204, 51863, 51243, 52339, 62343, 52374, 57841, 52032, 52069, 52913, 50883, 51809, 50852, 56933, 50997, 59329, 50903, 59214, 50843, 64527, 50899, 51391, 50428, 62113, 58146, 50968, 50933, 50871, 51961, 51186, 58779, 53456, 51359, 77431, 51008, 64993, 61385, 50906, 52454, 50323, 51199, 51572, 66331, 50997, 51884, 51186, 73128, 50852, 62794, 79738, 50899, 74056, 50995, 50454, 51996, 50925, 55025, 67010, 50871, 52441, 50945, 74671, 64961, 50906, 51293, 51186, 51091, 52036, 52151, 50791, 54906, 51010, 55435, 52783, 52601, 51310, 52913, 64523, 50852, 54031, 50899, 52063, 55057, 56171, 50871, 52063, 50903, 52975, 50899, 51097, 51947, 51864, 61361, 51836, 50874, 51186, 53690, 67166, 52339, 68075, 63337, 50871, 58483, 52032, 51124, 50445, 50997, 50977, 50446, 51186, 55271, 60376, 50899, 59844, 54060, 52225, 51097, 50452, 51011, 51056, 55117, 50864, 53093, 51116, 50903, 52702, 54085, 52196, 51255, 50457, 51027, 53529, 50318, 50940, 55779, 53902, 50852, 62519, 61097, 51601, 50902, 51318, 50931, 51218, 54235, 51000, 53817, 52204, 51863, 52727, 51838, 51801, 50416, 51026, 52071, 50906, 51191, 50953, 51091, 53266, 78711, 52853, 55265, 51946, 51148, 62074, 53423, 75482, 50428, 50852, 55212, 50899, 63096, 65625, 50871, 51709, 50435, 58368, 50906, 50908, 50953, 50981, 53583, 56262, 76521, 50440, 50906, 74478, 50441, 52196, 51562, 52058, 51945, 50843, 65809, 50951, 51115, 79043, 50925, 50448, 51011, 70007, 67641, 50899, 52454, 50302, 52482, 50791, 64116, 57841, 51186, 51060, 50460, 58529, 50931, 51121, 50852, 67327, 67695, 52478, 52032, 50914, 51271, 51204, 52430, 51314, 50791, 61993, 51050, 51592, 50951, 51145, 50906, 51592, 50798, 51031, 50425, 50997, 53486, 50843, 75347, 50899, 51703, 52601, 51162, 50852, 52975, 50903, 51031, 50436, 52148, 59321, 50871, 53674, 51271, 50854, 51570, 59575, 50798, 78684, 51866, 51477, 50444, 50931, 52378, 56065, 51056, 52657, 51016, 52137, 51314, 50843, 51031, 61695, 61376, 50968, 53892, 50852, 61612, 53883, 51159, 52018, 51090, 63474, 50961, 51601, 50902, 51000, 51866, 56661, 60879, 51271, 51623, 53129, 54573, 50791, 70394, 51120, 53486, 50877, 52598, 57570, 51358, 52430, 52431, 52698, 54788, 62231, 50989, 56374, 50428, 51027, 51166, 50852, 50948, 50431, 52058, 50972, 50434, 50843, 55486, 50916, 54344, 50903, 60032, 52384, 50933, 66651, 59120, 50989, 53280, 52351, 57515, 53675, 52351, 56377, 50852, 60044, 50877, 51490, 52698, 51134, 50453, 51027, 51166, 51011, 57837, 61807, 52601, 51060, 50457, 52137, 52256, 52225, 51679, 50459, 50916, 52518, 50903, 51010, 50460, 55117, 71621, 50883, 51809, 54012, 73362, 50989, 51737, 50418, 51011, 50873, 52058, 56395, 53423, 51838, 54373, 50424, 51120, 52168, 52601, 51241, 52351, 51000, 53129 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 17407, 30, 63, 8728, 8, 19448, 5466, 4, 20, 13305, 1239, 5, 483, 6, 17769, 5, 30443, 149, 10, 21844, 3251, 9, 657, 4, 8504, 11, 5, 762, 9, 211, 538, 8, 19, 10, 231, 73, 398, 86, 6543, 6, 5, 2125, 3136, 23, 10, 16634, 178, 5285, 2877, 4, 20, 33215, 16739, 9, 83, 406, 6, 211, 6, 83, 406, 6, 8, 211, 401, 3639, 7, 5, 2214, 18, 36355, 2088, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50626, 51214, 51592, 51026, 71169, 51592, 50951, 51592, 51220, 51592, 51146, 51592, 51487, 51592, 53337, 54498, 50861, 70713, 54980, 51324, 51592, 51086, 51517, 50303, 51592, 50951, 51080, 51220, 51080, 51405, 51080, 51487, 51080, 50462, 50956, 58794, 70713, 50932, 50474, 51279, 72388, 51517, 50322, 51517, 50327, 51517, 50331, 51517, 50334, 50932, 51540, 51214, 51592, 51026, 71169, 51592, 50968, 51592, 51220, 51592, 51430, 51592, 56248, 54498, 50861, 70713, 54980, 51360, 51592, 51040, 51592, 50861, 51592, 50906, 51592, 50968, 50932, 50462, 51114, 50932, 50474, 50968, 50932, 51540, 50625, 51120, 52826, 50899, 51592, 50861, 51592, 50973, 51592, 50968, 54869, 50625, 50902, 54498, 50624, 50973, 54980, 51086, 51517, 50303, 51592, 50861, 58794, 51592, 78092, 70713, 50932, 50474, 51086, 60473, 50932, 51540, 51279, 51592, 51027, 51592, 50861, 51592, 50876, 55116, 51001, 51592, 50450, 51120, 51243, 50899, 51243, 50989, 51243, 50902, 51243, 51474, 80212, 51026, 52826, 51086, 79193, 51592, 50861, 51080, 50973, 60473, 54980, 50902, 65300, 50932, 78092, 51592, 50951, 51517, 50327, 50932, 50474, 51086, 67835, 51080, 51220, 51517, 50330, 50932, 51540, 50902, 54869, 50997, 72110, 65300, 77404, 54498, 51026, 51517, 50303, 63030, 65300, 51517, 50327, 54980, 50916, 50932, 78092, 50932, 50474, 51026, 58194, 70713, 70713, 60473, 50932, 51540, 50877, 54869, 51026, 58194, 58794, 58794, 70713, 54498, 51085, 51592, 50900, 51592, 50916, 58794, 58794, 66743, 54980, 50861, 51243, 50968, 51080, 50951, 51080, 50462, 50877, 50932, 50474, 51324, 51080, 51086, 51080, 50973, 51592, 50968, 65300, 51080, 51540, 51001, 62666, 51279, 72388, 69711, 51517, 50322, 54498, 51214, 51080, 51026, 51080, 50916, 51592, 50968, 51592, 56222, 70713, 50932, 50462, 51315, 65377, 51592, 50861, 70713, 50932, 50474, 51360, 51592, 51040, 51592, 50861, 51592, 50906, 51592, 50968, 50932, 51540, 51114, 54869, 50916, 62722, 54498, 51120, 52826, 50899, 52826, 50861, 51592, 50973, 51080, 50973, 51080, 50968, 54980, 50902, 50932, 50462, 50906, 59478, 65521, 50932, 50474, 50989, 59219, 59219, 58327, 50932, 51540, 50861, 58794, 70713, 54869, 50989, 69711, 59219, 54498, 51799, 51517, 50294, 63030, 69711, 58327, 60473, 60473, 54980, 50876, 50932, 50462, 50973, 50932, 50474, 50900, 63030, 69711, 59219, 59219, 60473, 50932, 51540, 50973, 54869, 50877, 54498, 51086, 51592, 50899, 51801, 50899, 51801, 50861, 51592, 50444, 51028, 52985, 50902, 53581, 50973, 50838, 50462, 50902, 50838, 50468, 50968, 50838, 50474, 51027, 51592, 50900, 51592, 50989, 51592, 51114, 50838, 50480, 50931, 50838, 51540, 51114, 54177, 50999, 52688, 51146, 53052, 51062, 53720, 51062, 52788, 51026, 51592, 51086, 51592, 50861, 51592, 51220, 53624, 51146, 52985, 51220, 53581, 50951, 50838, 50462, 50902, 50838, 50468, 50973, 50838, 50474, 51324, 51592, 51086, 51592, 50871, 51592, 50965, 51592, 50902, 50932, 51540, 50902, 50932, 53337, 60473, 54498, 51085, 51592, 50900, 51592, 50956, 51592, 50871, 59219, 66985, 54980, 50871, 50932, 50462, 50877, 66985, 50932, 50474, 51247, 51592, 51050, 51592, 50871, 75656, 66985, 60700, 50932, 51540, 50871, 51080, 56207, 66985, 60700, 54498, 51247, 71445, 62447, 58194, 59219, 66985, 60700, 54980, 50899, 50932, 50462, 50956, 50932, 50474, 51247, 71445, 58194, 59219, 66985, 60700, 50932, 51540, 50861, 54869, 50877, 54498, 51234, 52826, 50997, 58794, 51592, 50906, 52062, 50902, 52062, 50951, 51592, 50450, 51120, 53581, 51050, 50838, 50462, 50997, 50838, 50468, 50900, 50838, 50474, 50899, 58194, 51592, 50931, 50838, 50480, 50906, 50838, 51540, 50902, 54177, 50931, 52688, 50951, 53052, 50999, 52718, 51214, 51592, 51026, 51592, 50906, 51592, 50906, 51243, 50902, 51592, 50951, 51592, 51081, 51592, 50474, 51315, 51080, 50916, 75489, 51080, 51028, 51080, 50951, 51080, 51081, 51080, 51540, 50906, 54869, 51360, 72110, 59478, 59478, 62722, 65300, 77404, 54498, 51120, 52826, 51026, 52826, 50899, 53233, 50973, 70713, 51592, 50973, 51592, 50902, 65300, 51517, 50327, 54980, 50951, 50932, 50462, 50973, 51243, 50474, 50899, 51592, 50902, 50932, 51540, 50951, 54869, 50973, 51517, 50327, 54498, 51120, 51592, 50899, 51592, 50877, 66743, 51517, 50322, 70453, 54980, 50877, 66743, 51517, 73864, 50462, 50989, 58327, 60473, 50932, 50474, 51120, 51592, 50900, 51592, 50899, 69711, 58327, 50932, 51540, 50900, 51080, 50989, 75656, 54869, 50906, 54498, 51026, 51517, 50303, 51517, 50303, 53233, 50899, 58794, 70713, 54980, 50861, 53581, 50973, 50838, 50462, 50902, 50838, 50468, 51028, 50838, 50474, 51086, 51592, 50899, 67835, 51080, 50973, 75657, 50838, 50480, 50968, 50838, 51540, 50902, 54177, 51114, 52688, 51086, 79193, 58794, 70713, 65300, 53052, 50999, 52718, 51026, 51517, 50303, 79193, 58794, 51517, 50327, 53624, 50902, 52985, 50951, 53581, 51220, 50838, 50462, 51146, 50838, 50468, 51487, 50838, 50474, 51026, 51517, 50303, 63030, 58794, 51517, 50339, 50932, 51540, 50861, 70713, 60473, 50932, 53337, 54498, 50916, 51592, 50861, 51592, 50876, 51592, 50968, 51592, 56279, 63030, 51080, 50462, 51120, 50932, 50474, 50899, 51080, 50989, 51592, 50973, 75657, 51080, 51540, 50899, 63030, 62666, 51120, 62447, 59219, 58327, 54498, 50916, 51592, 50861, 51592, 50876, 51592, 50968, 51592, 56279, 63030, 51080, 50462, 51120, 50932, 50474, 50899, 51080, 50989, 51592, 50973, 75657, 51080, 51540, 50899, 63030, 62666, 51120, 62447, 59219, 58327, 54498, 51085, 77132, 51080, 50916, 51592, 50861, 75656, 51080, 50968, 54980, 50877, 50932, 50462, 51027, 62447, 65377, 51243, 50877, 58327, 50932, 50474, 50997, 51592, 51040, 51592, 50916, 51592, 50861, 51592, 50968, 50932, 51540, 50951, 54869, 51430, 54498, 51086, 51592, 50899, 51592, 50899, 51592, 50861, 51592, 51146, 54980, 50951, 50932, 50462, 50902, 65300, 51517, 50327, 50932, 50474, 51120, 51592, 50899, 51592, 50968, 51517, 50322, 74616, 50932, 51540, 50902, 51517, 50322, 51517, 50327, 54869, 50876, 51517, 50322, 70453, 54498, 51315, 53233, 51026, 53233, 51086, 53233, 50916, 53233, 50861, 53233, 50951, 51592, 50450, 50973, 50932, 50462, 50968, 50932, 50474, 50951, 65300, 51080, 51540, 50973, 54869, 51026, 51517, 50303, 65377, 65377, 58794, 62722, 62722, 54498, 51378, 51592, 51086, 51592, 50899, 51592, 50989, 51592, 50989, 51592, 51114, 51517, 50322, 51592, 50450, 50973, 50932, 50462, 50902, 50932, 50474, 51315, 51592, 50997, 51592, 51040, 51592, 50916, 51592, 50989, 51592, 51114, 51517, 50322, 51592, 51540, 50906, 54869, 51028, 54498, 51120, 51592, 51086, 51592, 50899, 51592, 50989, 51801, 51114, 51517, 50322, 51592, 50450, 50973, 50932, 50462, 50902, 50932, 50474, 51360, 51592, 50997, 51592, 51040, 51592, 50968, 51517, 50322, 51592, 51540, 50906, 54869, 51028, 54498, 51324, 51080, 51086, 51080, 50973, 75657, 51080, 51114, 51080, 50474, 51279, 51592, 51027, 51592, 50876, 51592, 50902, 51592, 51114, 51592, 51474, 50438, 51214, 71169, 58794, 70713, 60473, 65300, 54980, 51086, 50932, 78092, 50932, 50474, 50861, 50932, 51540, 50877, 54869, 50973, 54498, 51214, 51592, 51026, 51592, 50973, 70713, 51592, 50902, 51592, 51220, 54980, 50877, 77316, 50462, 50861, 65300, 50932, 50474, 51841, 51517, 50296, 61306, 51080, 50973, 51080, 50968, 51080, 51147, 51080, 51540, 51315, 65377, 54869, 51120, 63030, 61306 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 15855, 16882, 6, 4246, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 13305, 6, 8, 13305, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 4, 20, 15229, 17384, 10, 1186, 9, 6711, 29, 6, 31, 20425, 8, 2933, 7, 1372, 6, 442, 24, 10686, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50437, 51001, 50895, 50902, 54292, 51001, 58746, 50951, 54651, 50876, 56325, 51001, 54596, 50861, 58639, 50876, 54353, 50956, 56860, 64782, 50461, 53282, 50895, 52449, 50895, 57923, 50858, 52114, 55728, 50951, 54718, 50876, 55884, 51001, 54149, 51771, 52765, 51959, 51628, 50951, 50893, 52647, 52262, 51771, 51724, 51147, 50858, 51890, 50983, 50441, 51062, 54651, 50931, 56325, 51147, 54596, 50876, 58639, 51147, 70329, 53139, 50895, 55439, 53650, 63459, 51959, 54093, 64944, 56807, 50858, 52647, 50983, 77343, 54718, 51001, 55884, 50951, 54149, 50876, 57781, 63459, 50431, 52889, 50895, 53139, 53644, 64944, 51959, 53505, 51001, 54362, 64944, 52003, 50983, 50441, 51147, 54651, 50902, 56325, 50931, 54596, 50973, 58639, 51435, 65243, 53282, 50884, 52889, 53685, 51639, 50839, 51771, 74949, 51639, 58472, 51001, 50839, 51639, 54625, 74790, 52449, 65175, 53282, 50884, 52449, 50884, 57923, 50983, 52114, 54275, 52647, 52734, 53168, 53184, 52114, 52450, 55407, 53847, 53168, 52559, 50951, 50795, 53897, 53263, 55407, 50808, 52449, 58566, 53282, 53813, 50902, 50983, 55333, 54134, 52951, 52711, 53168, 53668, 52951, 52741, 53795, 53987, 53168, 52643, 50951, 50795, 55333, 52567, 53795, 50800, 50799, 59179, 64167, 63229, 51081, 51835, 51147, 52296, 50951, 51620, 50931, 52765, 51001, 58812, 52092, 50818, 53234, 52209, 57213, 55953, 53505, 50876, 51724, 60003, 55479, 50918, 55383, 51551, 50441, 50931, 51820, 51001, 52513, 50902, 51757, 50876, 52809, 50973, 58740, 51816, 50818, 52427, 52349, 50877, 52567, 57031, 50799, 54767, 59176, 54337, 54681, 69084, 52627, 55747, 51220, 50859, 54767, 53950, 52092, 52765, 52627, 51628, 51146, 50795, 52427, 52262, 52092, 50808, 61069, 58566, 56184, 53813, 51405, 50805, 51959, 54134, 53234, 50808, 61069, 59503, 56184, 54400, 51405, 50805, 51771, 53668, 51959, 50808, 61069, 58432, 56184, 53688, 51405, 50795, 52647, 52809, 51771, 50800, 61069, 59310, 56184, 52485, 51405, 50795, 52114, 52567, 52647, 50800, 76953, 50800, 55497, 55728, 59179, 50419, 54057, 50818, 53826, 52432, 51081, 52296, 50999, 51620, 58276, 52569, 52765, 58276, 50431, 52627, 50818, 52930, 52209, 50951, 52262, 50931, 51724, 51146, 50805, 52158, 54134, 52092, 50808, 56184, 59503, 55402, 54400, 51146, 50795, 51890, 52513, 52158, 50800, 56184, 59248, 55402, 52555, 51146, 50795, 52003, 52809, 51890, 50800, 56184, 59310, 55402, 52485, 51146, 50795, 52951, 52567, 52003, 50800, 62529, 50859, 58153, 78006, 51081, 72857, 52930, 50884, 54057, 53829, 50999, 55747, 50951, 51620, 60003, 53234, 52765, 50951, 58812, 52569, 50818, 52627, 52209, 50931, 53263, 51001, 52599, 51062, 50805, 51816, 54134, 51959, 50808, 55402, 65781, 55951, 55489, 51062, 50805, 52647, 53668, 51771, 50808, 55402, 58432, 55951, 53688, 51062, 50795, 52114, 52809, 52647, 50800, 55402, 59310, 55951, 52485, 51062, 50795, 53359, 52567, 52114, 50800, 50799, 59179, 54999, 55728, 58276, 50419, 52627, 50818, 52930, 52432, 50951, 52296, 51114, 51620, 79630, 52092, 53847, 51114, 66084, 52577, 50846, 54282, 52927, 50968, 54125, 50902, 52841, 76533, 51771, 51124, 50441, 50902, 52597, 51146, 51124, 50447, 51816, 61216, 52158, 53886, 52092, 60976, 50951, 52955, 76533, 51771, 62355, 68278, 58479, 50812, 52775, 51124, 50417, 50902, 52871, 51062, 51124, 50423, 51816, 52710, 52003, 60412, 50999, 52749, 78980, 52775, 58926, 50999, 52841, 76533, 51771, 51124, 50441, 50902, 52597, 51146, 51124, 50447, 51816, 61216, 52158, 53886, 52092, 60976, 50951, 52955, 79299, 51771, 58565, 66736, 58479, 50808, 52775, 51116, 50417, 50902, 52734, 51062, 77950, 51816, 52450, 52003, 54253, 50999, 51628, 59179, 52775, 53505, 58276, 50437, 55951, 50818, 53652, 52565, 51948, 50991, 51771, 51918, 52158, 53658, 51837, 71303, 55951, 57868, 55402, 50818, 56184, 52396, 51837, 50839, 52647, 60720, 52461, 61425, 51837, 57109, 52461, 58464, 51837, 53173, 52461, 50846, 51771, 69495, 51837, 58892, 52461, 54943, 51837, 57962, 52461, 50846, 50799, 51837, 50828, 55951, 50828, 55402, 55614, 52353, 50914, 52951, 64754, 51771, 67503, 52003, 65366, 51771, 59749, 52951, 60313, 52003, 59628, 50902, 50849, 53168, 62657, 52951, 60831, 53282, 53219, 52449, 56068, 64341, 53897, 51189, 50442, 50951, 63178, 60437, 50448, 51001, 58974, 59285, 50454, 64341, 50455, 52449, 52738, 53282, 57735, 61673, 52114, 50849, 50460, 60437, 51601, 50902, 51189, 52951, 64754, 51771, 67503, 52003, 65366, 51771, 59749, 52951, 60313, 52003, 64123, 53282, 62089, 50902, 50828, 53168, 59662, 51028, 54002, 50902, 60631, 51028, 50828, 52951, 60831, 50902, 50828, 52269, 53219, 51028, 50828, 52449, 56068, 64341, 53897, 51189, 50442, 50951, 63178, 60437, 50448, 51001, 58974, 59285, 50454, 64341, 50455, 52449, 52738, 53282, 57735, 61673, 52114, 50849, 50460, 60437, 51601, 50902, 51189, 52951, 64754, 51771, 67503, 52003, 65366, 51771, 59749, 52951, 60313, 52003, 59628, 50951, 50805, 53168, 63116, 52951, 63038, 61496, 53359, 51141, 50442, 51001, 62236, 60742, 50448, 61496, 50451, 50989, 65601, 62926, 50455, 52681, 52349, 52269, 57430, 50906, 50858, 52003, 50805, 54999, 50795, 50460, 70796, 51601, 50906, 50890, 53168, 50879, 60513, 78006, 50877, 64941, 50861, 65602, 50876, 50880, 53359, 50879, 60009, 65393, 50906, 62588, 50877, 64855, 50902, 50880, 69570, 57672, 65708, 50876, 62941, 50906, 62725, 50968, 50880, 52114, 50879, 56163, 63363, 50902, 62256, 50876, 67166, 51114, 50880, 52003, 50879, 54999, 73824, 50968, 67106, 50902, 64733, 50951, 50887, 52126, 50879, 58312, 67636, 51114, 66429, 50968, 66280, 50999, 50887, 52775, 50879, 60117, 69194, 50951, 70332, 51114, 66000, 51081, 50890, 51771, 50795, 55479, 64503, 50999, 64961, 50951, 50890, 51601, 51062, 51016, 51816, 50983, 53856, 50893, 50430, 51405, 64338, 51146, 50858, 52775, 50795, 50436, 51062, 66972, 78363, 51771, 50795, 50442, 51081, 71643, 50999, 50859, 52647, 50879, 50448, 50951, 68523, 51081, 50859, 52114, 50879, 50454, 50999, 65243, 53139, 53685, 53652, 61160, 69084, 52003, 50879, 50460, 51114, 50859, 51601, 50951, 50807, 52627, 50800, 52239, 50918, 52690, 51356, 50418, 52092, 60721, 53234, 60809, 51959, 56919, 50931, 50795, 52092, 59545, 52427, 57659, 51001, 50795, 51959, 58480, 51816, 55900, 50902, 50795, 52427, 50800, 55479, 50918, 55383, 51356, 50442, 51771, 59070, 51001, 50805, 51959, 66372, 51816, 64847, 50902, 50805, 52427, 64998, 51771, 63848, 50876, 50805, 51816, 50808, 52769, 64333, 52775, 50808, 56194, 50808, 51601, 50902, 50805, 52427, 50808, 55479, 51356, 50418, 51771, 65992, 51001, 50805, 51959, 62779, 51816, 60262, 50902, 50805, 52427, 60133, 51771, 61761, 50876, 50805, 51816, 63116, 52775, 63038, 76698, 53168, 51077, 60513, 51077, 50442, 50899, 62236, 60742, 50448, 50900, 64847, 59285, 50454, 51086, 62516, 50989, 63357, 51027, 50812, 51601, 76514, 52003, 51103, 55741, 51103, 52690, 74871, 52571, 65054, 53655, 67937, 52690, 65001, 57081, 68207, 53655, 64338, 55383, 66554, 57081, 64141, 52603, 53442, 51669, 57014, 51001, 75018, 63459, 50445, 62873, 50448, 51001, 65449, 64782, 50454, 62873, 50457, 50956, 66330, 64782, 50461, 53282, 50895, 50799, 52449, 58487, 51001, 50858, 52114, 50795, 50418, 63459, 50421, 62873, 50424, 51001, 65001, 51771, 59545, 51959, 57659, 50951, 50893, 52647, 58480, 51771, 55900, 51147, 50858 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 38668, 483, 6, 13305, 6, 38668, 11212, 6, 3459, 9590, 6, 8, 21072, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 211, 119, 406, 6, 230, 6, 8, 274, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57211, 51755, 57515, 50836, 77865, 62635, 70261, 51240, 77639, 62320, 51297, 61640, 57693, 50971, 52622, 60659, 54546, 50862, 52029, 52051, 79464, 75870, 62635, 55487, 69563, 53821, 51128, 56321, 60984, 53340, 58388, 50854, 51450, 50813, 78896, 59122, 50598, 62635, 51000, 65073, 55434, 75290, 54763, 53821, 50971, 51618, 53003, 51068, 55742, 50862, 51715, 51371, 62825, 52757, 50598, 67962, 51128, 51453, 53515, 51022, 51621, 56128, 50820, 51755, 57515, 50886, 53510, 52051, 71516, 50379, 54118, 50360, 51035, 51128, 51039, 50366, 51657, 52823, 51123, 61640, 57693, 51750, 52641, 51068, 55296, 50857, 52352, 52051, 50363, 52272, 59548, 58295, 51126, 51361, 66621, 50378, 54118, 62635, 51128, 56321, 60984, 54447, 58806, 50855, 51450, 51437, 62381, 63130, 51123, 50441, 52855, 51657, 53041, 50801, 63273, 69527, 57803, 50971, 51618, 52805, 51068, 54384, 56914, 54506, 69253, 50910, 53867, 63130, 50971, 51453, 60140, 55150, 51128, 51621, 57744, 50855, 51755, 57515, 50836, 77865, 50366, 51613, 50380, 54118, 50361, 51084, 51000, 51039, 50366, 51657, 52539, 51297, 61640, 57693, 50971, 53510, 51087, 52870, 51068, 54546, 50862, 52029, 52051, 73804, 52757, 50599, 50363, 51084, 55487, 60210, 55692, 51128, 56321, 60984, 53340, 56368, 50836, 51450, 50813, 78896, 60525, 50598, 54071, 50920, 51000, 65073, 68813, 54465, 75290, 54121, 56691, 50971, 51618, 58533, 54411, 51068, 55742, 50862, 51715, 51371, 73804, 50387, 53830, 56570, 51128, 51453, 53515, 51022, 51621, 55215, 50862, 51755, 57515, 50886, 53510, 52051, 50364, 51613, 50379, 54118, 62635, 79754, 51270, 52134, 51039, 50366, 51657, 52823, 51123, 61640, 57693, 51750, 55144, 53425, 52799, 50990, 50857, 52352, 52051, 66622, 64406, 50363, 51084, 51126, 51361, 55756, 51128, 56321, 60984, 54447, 60238, 50840, 51658, 53983, 50377, 55958, 50373, 55550, 75308, 50362, 54118, 50363, 51084, 51123, 50441, 51236, 50380, 54118, 51851, 50447, 53867, 52514, 50456, 53867, 51258, 61323, 51677, 51303, 51422, 51249, 51422, 50945, 51091, 50872, 58213, 67234, 50835, 51683, 50914, 51947, 50995, 53460, 51671, 52693, 52204, 52684, 51671, 50801, 57515, 50836, 72216, 53376, 50598, 62320, 51000, 51039, 50366, 51586, 55718, 68874, 50872, 58213, 65537, 54355, 57693, 50971, 63201, 51648, 50943, 52058, 51097, 51068, 54546, 50862, 52029, 52051, 74479, 50952, 52834, 50361, 51084, 61036, 50945, 53810, 63542, 50872, 59588, 65537, 50857, 60210, 55150, 64568, 50927, 53345, 60984, 53340, 58723, 53415, 55564, 51713, 51157, 51702, 61011, 50813, 78896, 50365, 54118, 50363, 51084, 51000, 65073, 50371, 51613, 54247, 50964, 59274, 59203, 64705, 54355, 53270, 54763, 59658, 52786, 50971, 51618, 53003, 65340, 51776, 51116, 51866, 51043, 51068, 55742, 50862, 51715, 51371, 69253, 52757, 50599, 50363, 51084, 51128, 50453, 50872, 58213, 65537, 54199, 50945, 56022, 53515, 65319, 52002, 50846, 52148, 53309, 50941, 51931, 71965, 52151, 51410, 52151, 51303, 52071, 51249, 52071, 51096, 51175, 50872, 62834, 75086, 50835, 52583, 51243, 53361, 51449, 50801, 57515, 50886, 53510, 52272, 50379, 54118, 50360, 51084, 79754, 52002, 50818, 52148, 68606, 71813, 50366, 51657, 55399, 52823, 62791, 61199, 50872, 64203, 75086, 53617, 57693, 51750, 55144, 52992, 50945, 58029, 55296, 50857, 52352, 52051, 69253, 75870, 77810, 68364, 50945, 54216, 70746, 50872, 61507, 75974, 55316, 50364, 51433, 50378, 54118, 50360, 51084, 64568, 70746, 51683, 50855, 51947, 55503, 60984, 54447, 60140, 54431, 74959, 52002, 50812, 52148, 54923, 51437, 54608, 51123, 50441, 51776, 50897, 51866, 53835, 64793, 50363, 51613, 54840, 50945, 58541, 64203, 75086, 54036, 63273, 61960, 58295, 58554, 51713, 50840, 51702, 50886, 60583, 65082, 51068, 54384, 56914, 54506, 66622, 50869, 50598, 63130, 60754, 50872, 61507, 75086, 50835, 51648, 50809, 52058, 53820, 50964, 52808, 70117, 50363, 51084, 68248, 51683, 50809, 51947, 50886, 53510, 51087, 50855, 61323, 52071, 51303, 52151, 51249, 52151, 50945, 51091, 50872, 58213, 70246, 50857, 53460, 51243, 52684, 69094, 57515, 50836, 72216, 53376, 50598, 63130, 70261, 52306, 50836, 52194, 50867, 52148, 64706, 50366, 51657, 52786, 51297, 50422, 52194, 56133, 50872, 58213, 67234, 50867, 52306, 50809, 52148, 58059, 57693, 50971, 53510, 51087, 53901, 51068, 54546, 50862, 52029, 52051, 74479, 64406, 77810, 61036, 50945, 50840, 57217, 53911, 63542, 50872, 59588, 70246, 50857, 56187, 50854, 69563, 55150, 64568, 79072, 52306, 50840, 52194, 53309, 60984, 53340, 58388, 62439, 52148, 50941, 53758, 51428, 50813, 78896, 76745, 50360, 51084, 51000, 50440, 52194, 58545, 52306, 50809, 52148, 56935, 75613, 54247, 50964, 59274, 58213, 70246, 54109, 53270, 54763, 56691, 58554, 57217, 50862, 79117, 54208, 65340, 56187, 58738, 55742, 50862, 51715, 51371, 50364, 51826, 52476, 50599, 50363, 51084, 51128, 50452, 52148, 61096, 50872, 58213, 67234, 50867, 52306, 50840, 52194, 50857, 57217, 52863, 69642, 54958, 51087, 52786, 65319, 52991, 50795, 52488, 51212, 51702, 50912, 59931, 55675, 50971, 75507, 50839, 71965, 52222, 51410, 52151, 51303, 52151, 51249, 52222, 51096, 51175, 50872, 64203, 75086, 50886, 52583, 51243, 53361, 51449, 50801, 57515, 50886, 53510, 52051, 66622, 50942, 53867, 54691, 50920, 51128, 51039, 50366, 51657, 55692, 62791, 51096, 55414, 61507, 75086, 54036, 57693, 51750, 55144, 53425, 50945, 58029, 55296, 50857, 52352, 52051, 73804, 52476, 50599, 62635, 68364, 50945, 54216, 70746, 50872, 64203, 50834, 51007, 53065, 66621, 50378, 54118, 54618, 50920, 64568, 50945, 52423, 60984, 54447, 50366, 51433, 54431, 51457, 51127, 74959, 52002, 50812, 52148, 53197, 51437, 62381, 63873, 51123, 50441, 52366, 50836, 52178, 54897, 67822, 54840, 61269, 58442, 50939, 75086, 50829, 52306, 50836, 52194, 54874, 63273, 61960, 53277, 50598, 50363, 51084, 58554, 51776, 50812, 51866, 50867, 60583, 65082, 51713, 50836, 51702, 58107, 54384, 56914, 54506, 50364, 51586, 52476, 50599, 50362, 51035, 60754, 58442, 50939, 75086, 50835, 52306, 68607, 51022, 50454, 52194, 54199, 50964, 52808, 60140, 55692, 68248, 52991, 50917, 52488, 53021, 72956, 50840, 61323, 52071, 51303, 52151, 51249, 52151, 51327, 51422, 50945, 51091, 58180, 62308, 69461, 53460, 52062, 52684, 51449, 50801, 57515, 50836, 77865, 65826, 50378, 54118, 63130, 51000, 50416, 52306, 50836, 52194, 60209, 52178, 50912, 50418, 52366, 66179, 52002, 50840, 52148, 50867, 51039, 50366, 51657, 55004, 68874, 50872, 58213, 67234, 50829, 52306, 50808, 52194, 54355, 57693, 50971, 53510, 51117, 52329, 51068, 54546, 50862, 52029, 52051, 74479, 52476, 50599, 50363, 51084, 61036, 50945, 50840, 52306, 50800, 52194, 52658, 63542, 50872, 58213, 65537, 51464, 60432, 56691, 64568, 50927, 53345, 60984, 53340, 58388, 50862, 53758, 56645, 54187, 50813, 78896, 50362, 50792, 50598, 54146, 50920, 51000, 65073, 50371, 51613, 54840, 50964, 59274, 59588, 65537, 75088, 50893, 75290, 54763, 55150, 50971, 51618, 57071, 53083, 50927, 57253, 64187, 55742, 50862, 51715, 51371, 66622, 52476, 50599, 50363, 51084, 51128, 50453, 50872, 58213, 50867, 50909, 54199, 50945, 67922, 50980, 54958, 51087, 55692, 51022, 62190, 50971, 51715, 51433, 50855, 71965, 52151, 51410, 52151, 51303, 52151, 51249, 52151, 51096, 51175, 58442, 50939, 75974, 50886, 52583, 51243, 53361, 51671, 50801, 57515, 50886 ]

[ 0, 250, 33928, 3495, 3152, 2214, 19, 10, 2842, 9, 1619, 4780, 6, 4246, 2382, 3459, 8669, 6, 21979, 8669, 6, 2342, 4467, 6, 81, 9756, 8669, 6, 8, 3459, 9590, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 132, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 16662, 13410, 228, 2289, 4, 20, 2214, 29769, 198, 5, 40286, 272, 8, 230, 6, 2351, 10, 15352, 30054, 8, 33558, 5466, 14, 8409, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51057, 50630, 79361, 51127, 51020, 51127, 51092, 51127, 51133, 58673, 78077, 57237, 51127, 54602, 51127, 54391, 64345, 51023, 51127, 51092, 51127, 51530, 51127, 50945, 58673, 78077, 55010, 51127, 54391, 51127, 56146, 51127, 50799, 51092, 51359, 51403, 51359, 51810, 51359, 50964, 61113, 78077, 54391, 51359, 56968, 51359, 55849, 51359, 50415, 59058, 51359, 57008, 52444, 50816, 58344, 50798, 50809, 56032, 50809, 56875, 50809, 52534, 51654, 52634, 50809, 74558, 51518, 50420, 50964, 52483, 61415, 61854, 51127, 77719, 52446, 56735, 59058, 58141, 50927, 52596, 51019, 51654, 52634, 50809, 58757, 58705, 51596, 50795, 62008, 72849, 58536, 57394, 51421, 78077, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51596, 51370, 54689, 51606, 57965, 50943, 51092, 50943, 51530, 53946, 54500, 51164, 57847, 57076, 54100, 51606, 58536, 52201, 50971, 71209, 65131, 59381, 51164, 51310, 78007, 50872, 76810, 51606, 68152, 58673, 72445, 51606, 51370, 50971, 78883, 64583, 50872, 57991, 51565, 57965, 50943, 51092, 50943, 51810, 53946, 54500, 51164, 50981, 64804, 50872, 58667, 51606, 51370, 50971, 50946, 57245, 56743, 50905, 68967, 58536, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51686, 51370, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 51164, 51310, 78007, 50872, 51310, 56107, 53769, 72445, 50852, 62798, 50995, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 50943, 50964, 55506, 50809, 51164, 50981, 64804, 50872, 58667, 51686, 51370, 50971, 50946, 57245, 56743, 50905, 68967, 58536, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51686, 51370, 54689, 51686, 64352, 50943, 51530, 50943, 52110, 53946, 54500, 51164, 51677, 50885, 51677, 50872, 51677, 50432, 51686, 58536, 52201, 50971, 71209, 65131, 50872, 56509, 51686, 68152, 58673, 72445, 51686, 51370, 50971, 78883, 64583, 50872, 57991, 51827, 64352, 50943, 51530, 50943, 53463, 53946, 51421, 52485, 51827, 51370, 50971, 50946, 57245, 56743, 50905, 71467, 58536, 58673, 54500, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 78377, 51673, 51370, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 51164, 50981, 50946, 61677, 50981, 72918, 68100, 50872, 56389, 51565, 50918, 51092, 51127, 51546, 51127, 51810, 51127, 51011, 58673, 51421, 56717, 52510, 78883, 64583, 69130, 51688, 51318, 50946, 51318, 50456, 50946, 57245, 62344, 50905, 68449, 50918, 51186, 57394, 51421, 78077, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 79927, 50872, 51318, 51039, 54689, 51061, 50943, 51193, 50943, 51185, 56744, 54500, 52021, 51501, 50297, 67842, 54100, 51186, 52201, 50971, 51037, 50943, 59911, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 53357, 58673, 54500, 51180, 50971, 74732, 61542, 50872, 57991, 51061, 50943, 51193, 50943, 51185, 56744, 54500, 52021, 50981, 51164, 50981, 78889, 51453, 50971, 51037, 77256, 50905, 54516, 53769, 54500, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 79927, 50872, 51318, 51039, 54689, 51061, 50943, 51193, 50943, 51185, 50943, 50945, 55506, 54500, 52021, 51310, 51164, 51310, 51037, 51310, 50432, 51037, 50943, 59911, 50872, 56389, 51565, 50918, 51193, 51127, 51403, 51127, 51810, 51127, 51133, 58673, 51421, 56717, 52510, 71432, 74732, 63153, 51332, 51295, 50988, 51295, 50885, 51295, 50456, 50988, 69178, 57371, 50905, 68967, 50918, 50945, 57394, 51421, 78077, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 51318, 51039, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 51677, 50885, 51677, 50872, 51677, 50432, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 56107, 57394, 54500, 51180, 50971, 78883, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 56744, 51421, 52485, 50964, 52504, 51421, 50971, 50946, 57245, 56743, 50905, 52354, 57394, 54500, 51164, 51003, 65131, 59381, 50946, 51318, 79845, 50872, 51318, 51039, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 51164, 51310, 78007, 50872, 51310, 56107, 53769, 54500, 51180, 50971, 78883, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 50943, 50964, 55506, 54500, 51164, 50981, 64804, 50872, 58667, 51596, 60020, 51421, 50971, 50946, 57245, 56743, 50905, 72849, 58536, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 78377, 51596, 51370, 54689, 51606, 57965, 50943, 51092, 50943, 51530, 53946, 54500, 51164, 57847, 57076, 54100, 51606, 58536, 52201, 50971, 71209, 65131, 59381, 51164, 51310, 78007, 50872, 76810, 51606, 68152, 58673, 72445, 51606, 51370, 50971, 78883, 64583, 50872, 57991, 51606, 57965, 50943, 51092, 50943, 51530, 53946, 54500, 51164, 50981, 64804, 50872, 58667, 51686, 79000, 50971, 50946, 57245, 56743, 50905, 52354, 57394, 54500, 51164, 61677, 50943, 59504, 50946, 51318, 79845, 50872, 51318, 51039, 54689, 51023, 50943, 51092, 50943, 51530, 56744, 54500, 51164, 57847, 57076, 54100, 50945, 52201, 50971, 50946, 61677, 50943, 59504, 51164, 51310, 78007, 50872, 51310, 56107, 51654, 54500, 53012, 53524, 50964, 52918, 51559, 50971, 78883, 64583, 50872, 57991, 51023, 50943, 51092, 50943, 51530, 50943, 50945, 55506, 54500, 51164, 50981, 64804, 68100, 51453, 50971, 50946, 57245, 56743, 50905, 73350, 66820, 57394, 54500, 52021, 51003, 51164, 51003, 51037, 51003, 51037, 51318, 79927, 50872, 78377, 51606, 51370, 54689, 51606, 70828, 50943, 51185, 50943, 51530, 53946, 54500, 52021, 51501, 50297, 67842, 54100, 51606, 66820, 52201, 50971, 51037, 51003, 62224, 59381, 52021, 51310, 51164, 51310, 51037, 76810, 51606, 50800, 50945, 58673, 54500, 50441, 51606, 69339, 50971, 74732, 61542, 73360, 50447, 51606, 52728, 51193, 50943, 51185, 50943, 51530, 53946, 54500, 52021, 50981, 51164, 50981, 51037, 58667, 51606, 51370, 50971, 51037, 77256, 50905, 74291, 50918, 51186, 57394, 54500, 52021, 50943, 51164, 50943, 51037, 50943, 51037, 51318, 79927, 50872, 51318, 51039, 54689, 51193, 50943, 51185, 50943, 51530, 56744, 54500, 52021, 51501, 50297, 67842, 54100, 51186, 52201, 50971, 51037, 50943, 59911, 59504, 52021, 51310, 51164, 51310, 51037, 51310, 53357, 58673, 54500, 51180, 50971, 51037, 51318, 79927, 50872, 72269, 51193, 50943, 51185, 50943, 51530, 56744, 54500, 52021, 50981, 51164, 50981, 78889, 51453, 50971, 71467, 68782, 57394, 54500, 51332, 68420, 61677, 61677, 51318, 79172, 74086, 50420, 51673, 51370, 54689, 51673, 64352, 50943, 51403, 50943, 51810, 50943, 53477, 53946, 54500, 51332, 51677, 50988, 51677, 50885, 51677, 50432, 51673, 68782, 52201, 50971, 72918, 60104, 50847, 56389, 51673, 60277, 58673, 72445, 51673, 51370, 50971, 64583, 63153, 50847, 57991, 51673, 64352, 50943, 51403, 50943, 51810, 50943, 53477, 53946, 51421, 52485, 51673, 51370, 50971, 50885, 57371, 56713, 50905, 71467, 68782, 58673, 54500, 51332, 68420, 61677, 61677, 51318, 79172, 74086, 50420, 51673, 51370, 54689, 51092, 50943, 51403, 50943, 51810, 56744, 54500, 51332, 51310, 50988, 51310, 78007, 50432, 65131, 61560, 50847, 56509, 51827, 50918, 51185, 51127, 51530, 51127, 53463, 51127, 51186, 58673, 51421, 56717, 52510, 74732, 61542 ]

[ 0, 250, 15352, 30054, 3152, 2214, 19, 3495, 16882, 6, 4246, 10, 11739, 9, 13305, 6, 38668, 3038, 6, 38668, 11212, 6, 81, 9756, 8669, 6, 8, 38668, 20535, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 20902, 12447, 1001, 20889, 8, 10, 132, 73, 306, 86, 6543, 6, 2351, 41, 20425, 8, 11653, 5466, 19, 12577, 2933, 223, 34693, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 77669, 51323, 51264, 50752, 50325, 53090, 57756, 53090, 51023, 51264, 50796, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50899, 61471, 71685, 51083, 50889, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 63560, 51120, 63030, 50932, 51409, 50932, 51763, 50932, 53337, 51623, 50902, 51623, 51188, 51623, 51083, 51623, 50432, 51120, 51264, 50899, 51264, 51409, 51264, 51763, 51264, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 56945, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 51623, 50876, 51623, 51347, 51623, 51118, 51623, 74769, 51538, 50877, 51538, 51200, 51538, 51282, 51538, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 52591, 51027, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 51264, 50876, 51264, 51347, 51264, 51118, 51264, 74769, 74114, 51077, 51200, 51077, 51282, 51077, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 51086, 66154, 50889, 51499, 50889, 51595, 50889, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 51264, 56978, 58794, 50932, 51263, 50932, 51401, 54869, 51086, 51264, 50973, 51264, 51499, 51264, 51595, 51264, 71341, 51538, 50861, 51538, 51263, 51538, 51401, 51538, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50899, 61471, 71685, 51083, 50889, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 63560, 51120, 63030, 50932, 51409, 50932, 51763, 50932, 53337, 51623, 50902, 51623, 51188, 51623, 51083, 51623, 50432, 51120, 51264, 50899, 51264, 51409, 51264, 51763, 51264, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 56945, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 51623, 50876, 51623, 51347, 51623, 51118, 51623, 74769, 51538, 50877, 51538, 51200, 51538, 51282, 51538, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 50900, 58835, 50889, 67677, 51118, 50889, 52591, 51027, 59219, 50932, 51200, 50932, 51282, 50932, 53523, 54834, 50876, 54834, 51347, 53090, 51118, 54834, 74769, 74114, 51077, 51200, 51077, 51282, 51077, 60496, 66083, 50805, 51323, 69728, 52815, 50861, 65934, 50889, 78268, 51020, 55069, 51086, 53363, 50973, 53363, 51499, 51991, 51595, 53363, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 51264, 50450, 51593, 53363, 55156, 50889, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 51264, 56376, 57394, 70607, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54601, 51654, 52815, 54837, 68838, 56376, 52918, 52961, 54486, 57394, 50805, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 50798, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54837, 51654, 52815, 56376, 53769, 50805, 51382, 52961, 54486, 57394, 50805, 51528, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54486, 51654, 52815, 56376, 68838, 54837, 52918, 52961, 54601, 51991, 50798, 50805, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 61113, 52864, 50798, 50805, 51302, 50805, 51974, 50805, 51450, 50805, 52129, 52596, 55156, 55506, 52961, 50798, 50805, 50799, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 51264, 56376, 57394, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54601, 51654, 52815, 54837, 68838, 56376, 52918, 52961, 54486, 57394, 50805, 50799, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 50798, 52864, 50798, 50805, 51302, 52605, 54601, 51654, 52446, 54837, 51654, 52815, 56376, 53769, 50805, 51382, 52961, 54486, 57394, 50805, 51528, 52864, 50798, 52483, 54601, 52918, 52605, 54601, 51654, 52446, 54486, 51654, 52815, 56376, 68838, 54837, 52918, 52961, 54601, 51991, 50798, 50805, 50799, 50752, 50311, 51264, 50752, 50311, 51264, 50752, 50318, 51264, 50752, 50323, 51264, 50752, 50327, 51264, 52507, 51264, 52507, 51264, 53679, 51264, 56336, 51264, 64995, 61113, 52864, 50798, 50805, 51302, 50805, 51974, 50805, 51450, 50805, 52129, 52596, 55156, 50889, 57381, 56858, 52961, 50798, 50805, 54868, 51264, 51027, 51264, 50899, 51264, 50899, 51264, 50989, 51264, 50877, 51264, 50877, 51264, 50902, 51264, 51114, 51264, 50999, 51264, 50752, 50306, 51264, 50752, 50313, 51264, 50752, 50318, 51264, 50752, 50322, 51264, 50752, 50325, 51264, 52583, 51264, 52684, 51264, 53679, 51264, 59255, 51264, 57756, 51264, 56376, 51077, 62365, 56203, 52864, 50798, 50805, 51302, 50805, 51974, 52446, 54601, 50805, 62365, 53656, 52815, 54837, 50805, 55156, 53656, 52596, 56376, 50805, 56276, 55284, 52961, 54486, 51141, 56276, 53656, 50805, 55547, 51538, 51315, 51538, 51027, 51538, 51027, 51538, 50900, 51538, 50916, 51538, 50861, 51538, 50877, 51538, 50876, 51538, 50876, 51538, 50951, 51538, 51062, 51538, 50752, 50301, 52024, 50752, 50308, 52024, 50752, 50313, 52024, 50752, 50316, 52024, 50752, 50323, 52024, 50752, 50328, 52024, 56035, 52024, 53278, 52024, 52684, 52024, 53465, 52024, 56336, 52024, 66789, 52024, 50798, 52864, 50798, 50805, 51302, 52605, 54601, 50805, 57381, 53656, 52446, 54837, 50805, 62365, 53656, 52815, 56376, 50889, 56276, 56203, 52596, 51279, 51608, 50301, 55506, 52961, 54486, 51141, 56276, 53656, 50805, 55547, 51538, 51315, 51538, 51027, 51538, 51027, 51538, 50900, 51538, 50916, 51538, 50861, 51538, 50877, 51538, 50876, 51538, 50876, 51538, 50951, 51538, 51062, 68801, 52864, 50798, 52483, 54601, 50805, 57381, 55284, 52605, 54601, 50805, 57381, 53656, 52446, 54486, 50805, 62365, 53656, 52815, 56376, 50805, 55156, 53656, 52596, 51279 ]

[ 0, 4688, 20425, 5175, 3836, 1349, 4246, 38668, 22052, 6, 10, 6755, 12547, 6, 21072, 6, 228, 438, 4781, 2088, 6757, 6, 8, 10, 38668, 483, 4, 20, 2214, 7630, 6568, 10, 1472, 9, 980, 8, 33301, 6, 19, 10, 3366, 219, 8, 1372, 16464, 4, 85, 18, 278, 11, 211, 3694, 6, 34, 10, 1769, 20889, 9, 18461, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 4212, 25935, 1626, 227, 1918, 406, 8, 211, 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 ]

[ 56236, 50796, 50796, 50799, 54511, 51264, 53733, 51036, 53818, 51036, 54256, 57705, 54256, 55893, 62423, 53087, 51113, 51237, 62423, 56499, 62423, 52975, 62423, 55135, 62423, 53294, 51088, 51138, 62423, 55757, 62423, 53675, 51088, 50950, 62423, 55551, 62423, 53711, 51088, 51138, 62423, 54944, 62423, 53563, 51154, 51138, 62423, 56046, 62423, 50883, 50799, 54884, 51264, 54924, 51036, 53370, 51036, 54256, 57705, 54256, 55893, 62423, 53087, 51113, 51735, 62423, 56499, 62423, 52975, 62423, 55135, 62423, 53294, 51088, 51138, 62423, 55757, 62423, 53675, 51154, 51045, 62423, 55551, 62423, 53711, 51154, 51932, 62423, 54944, 62423, 53563, 62423, 56046, 62423, 50883, 50799, 56833, 51036, 56648, 51036, 54511, 51036, 51088, 51138, 54256, 57705, 54256, 54031, 51375, 73131, 62423, 53087, 51088, 51505, 62423, 56499, 62423, 52975, 62423, 55135, 51088, 50950, 62423, 53294, 51154, 51012, 62423, 55757, 62423, 53675, 51088, 51045, 62423, 55551, 62423, 53711, 51088, 50950, 62423, 54944, 62423, 53563, 51088, 51237, 62423, 56046, 62423, 50883, 50799, 56648, 50918, 54511, 50918, 53733, 50918, 54256, 57705, 54256, 54031, 51154, 73131, 62423, 53087, 51251, 51012, 62423, 56499, 62423, 52975, 51088, 52512, 62423, 55135, 62423, 53294, 54884, 51077, 54924, 50918, 53370, 50918, 62423, 55757, 62423, 53675, 62423, 55551, 62423, 53711, 62423, 54944, 62423, 53563, 62423, 56046, 62423, 50883, 70212, 51012, 54511, 51264, 53733, 51036, 53818, 51036, 54256, 51135, 56166, 54256, 50895, 52906, 54104, 52505, 50949, 62423, 53087, 52505, 50894, 51113, 51237, 62423, 51135, 54956, 62423, 52975, 52505, 50962, 62423, 52586, 54288, 52020, 50894, 62423, 53294, 51088, 51138, 62423, 51041, 55262, 52020, 51010, 62423, 53675, 52020, 51138, 51088, 50950, 62423, 52586, 54368, 62423, 53711, 51088, 51012, 62423, 51041, 55097, 52020, 50949, 62423, 53563, 52020, 50894, 51154, 51045, 62423, 52586, 54794, 62423, 50883, 50799, 52999, 51012, 54884, 51036, 54924, 51036, 53370, 51036, 54256, 51135, 56166, 54256, 50895, 52906, 54104, 52999, 51031, 62423, 53087, 52999, 50894, 51113, 51932, 62423, 51135, 54956, 62423, 52975, 52999, 50962, 62423, 52586, 54288, 52401, 50950, 62423, 53294, 51088, 51138, 62423, 51041, 55262, 52401, 51010, 62423, 53675, 52401, 51014, 51154, 51045, 62423, 52586, 54368, 62423, 53711, 51154, 51735, 62423, 51041, 55097, 52401, 51031, 62423, 53563, 52401, 50894, 62423, 52586, 54794, 62423, 50883, 70212, 51138, 56833, 51036, 56648, 51036, 54511, 51655, 51088, 51012, 54256, 51135, 56166, 54256, 54031, 51375, 60687, 54104, 52505, 51031, 62423, 53087, 52505, 50894, 51088, 51483, 62423, 51135, 54956, 62423, 52975, 52505, 50962, 62423, 52586, 54288, 52020, 51014, 51154, 50950, 62423, 53294, 51088, 51012, 62423, 51041, 55262, 52020, 51010, 62423, 53675, 52020, 51021, 51375, 51012, 62423, 52586, 54368, 62423, 53711, 51088, 51012, 62423, 51041, 55097, 52020, 50949, 62423, 53563, 52020, 50894, 51154, 51237, 62423, 52586, 54794, 62423, 50883, 50799, 52999, 51138, 56648, 50918, 54511, 50918, 53733, 50918, 54256, 51135, 56166, 54256, 54031, 51251, 60687, 54104, 52999, 50949, 62423, 53087, 52999, 50894, 51088, 51870, 62423, 51135, 54956, 62423, 52975, 52999, 51010, 62423, 52586, 54288, 52401, 51045, 62423, 53294, 54884, 51077, 54924, 50918, 53370, 50918, 62423, 51041, 55262, 52401, 51010, 62423, 53675, 52401, 50923, 62423, 52586, 54368, 62423, 53711, 62423, 51041, 55097, 52401, 51031, 62423, 53563, 52401, 51014, 62423, 52586, 54794, 62423, 50883, 50799, 52364, 51006, 52842, 51058, 52350, 51058, 51842, 50420, 51046, 69042, 54316, 52364, 51006, 52842, 51058, 52350, 51058, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 60465, 51046, 50834, 51075, 55604, 52364, 51006, 52277, 51058, 52350, 80059, 51046, 50834, 51075, 53057, 52364, 50933, 52277, 51008, 52350, 51008, 51046, 69042, 54859, 51046, 69042, 53268, 52364, 50825, 52277, 50835, 52350, 50835, 51046, 69042, 54359, 51046, 50834, 51075, 50820, 50799, 52364, 50933, 52842, 51008, 52350, 76430, 51046, 69042, 54316, 52364, 50933, 52842, 51008, 52350, 51008, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 59983, 51046, 50834, 51075, 55604, 52364, 51006, 52842, 51008, 52350, 80059, 51046, 50834, 51075, 53057, 53165, 50933, 52673, 51008, 52350, 51008, 51063, 50820, 51143, 54859, 51063, 50820, 51143, 53268, 53165, 50825, 52673, 50835, 52350, 50825, 51063, 50820, 51143, 54359, 70230, 51143, 50820, 50799, 52364, 51006, 52842, 51058, 52350, 70997, 51046, 69042, 54316, 52364, 51006, 52842, 51058, 52350, 51058, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 60465, 51046, 50834, 51075, 55604, 52364, 51006, 52277, 51058, 52350, 80059, 51046, 50834, 51075, 53057, 52364, 50933, 52277, 51008, 52350, 51008, 51046, 69042, 54859, 51046, 69042, 53268, 52364, 50825, 52277, 50835, 52350, 50835, 51046, 69042, 54359, 51046, 50834, 51075, 50820, 50799, 52364, 50933, 52842, 51008, 52350, 76430, 51046, 69042, 54316, 52364, 50933, 52842, 51008, 52350, 51008, 50429, 51046, 50834, 51075, 53063, 52364, 51006, 52842, 51008, 52350, 59983, 70230, 51143, 55604, 52364, 51006, 52842, 51008, 52350, 61972, 70230, 51143, 53057, 53165, 50933, 52673, 51008, 52350, 51008, 51046, 50820, 51348, 50839, 51767, 51576, 51263, 51199, 50453, 51046, 50820, 51348, 53268, 53165, 50825, 52673, 50835, 52350, 50825, 51063, 50820, 51143, 54359, 70230, 51143, 50820, 70212, 51012, 51384, 53295, 52364, 51006, 52842, 51058, 52350, 51058, 51409, 51645, 51200, 51645, 50420, 51107, 51010, 51046, 69042, 54316, 52505, 50949, 52364, 51006, 52842, 51058, 52350, 61911, 52505, 50894, 51093, 51505, 50429, 51046, 50834, 51075, 53063, 52505, 50962, 52364, 51006, 52842, 51008, 52350, 76257, 52020, 50894, 51093, 56262, 51093, 51010, 51046, 50834, 51075, 55604, 52020, 51010, 51093, 51010, 52364, 51006, 52277, 51058, 52350, 61972, 52020, 51138, 50447, 51093, 51010, 51046, 50834, 51075, 53057, 52364, 50933, 52277, 51008, 52350, 51008, 51046, 69042, 54859, 52020, 50949, 51093, 51010, 51046, 69042, 53268, 52020, 50894, 51154, 51138, 52364, 50825, 52277, 50835, 52350, 50835, 51046, 69042, 54359, 51046, 50834, 51075, 50820, 50799, 52999, 51012, 51093, 50950, 52364, 50933, 52842, 51008, 52350, 76430, 51093, 51010, 51046, 69042, 54316, 52999, 51031, 52364, 50933, 52842, 51008, 52350, 57630, 52999, 50894, 51093, 51138, 50429, 51046, 50834, 51075, 53063, 52999, 50962, 51165, 51010, 52364, 51006, 52842, 51008, 52350, 69876, 52401, 50950, 51113, 72547, 51046, 50834, 51075, 55604, 52401, 51010, 51165, 51010, 52364, 51006, 52842, 51008, 52350, 61972, 52401, 51014, 51690, 60785, 51093, 51010, 51046, 50834, 51075, 53057, 51733, 50845, 53165, 50933, 52673, 51008, 52350, 51008, 51063, 50820, 51143, 54859, 52401, 51031, 51165, 51010, 51063, 50820, 51143, 53268, 52401, 50894, 51304, 50892, 51113, 51932, 53165, 50825, 52673, 50835, 52350, 50825, 51063, 50820, 51143, 54359, 70230, 51143, 50820, 70212, 51138, 51384, 52121, 52364, 51006, 52842, 51058, 52350, 51058, 50417, 51165, 57606, 51093, 51735, 51046, 69042, 54316, 52505, 51031, 52364, 51006, 52842, 51058, 52350, 61911, 52505, 58236, 51046, 50834, 51075, 53063, 52505, 50962, 52364, 51006, 52842, 51008, 52350, 76257, 52020 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 15229, 11, 2060, 538, 6, 42, 765, 2214, 1575, 10, 23667, 12447, 1001, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 11602, 9, 15073, 14, 115, 15658, 1495, 157, 7, 10, 822, 19834, 6, 150, 202, 6780, 41, 1374, 1372, 16464, 6, 25, 24, 26658, 149, 10, 33215, 13931, 9, 230, 406, 6, 274, 406, 73, 250, 6, 8, 12608, 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 ]

[ 58402, 51247, 57722, 51358, 51001, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 62674, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 57722, 52567, 73764, 54734, 66303, 51492, 51001, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 62674, 51492, 50417, 51247, 52296, 51247, 51628, 51247, 51724, 51247, 52831, 51247, 52513, 51247, 51754, 51247, 50800, 54734, 53504, 51247, 52296, 51247, 51628, 51247, 78858, 51724, 51247, 78858, 52831, 51247, 51820, 51147, 52513, 51247, 51757, 51147, 51754, 51247, 50800, 51405, 50800, 56229, 51757, 51081, 51754, 59179, 60820, 51835, 51062, 51620, 51147, 51628, 51081, 51757, 50951, 51754, 65902, 50796, 66243, 50931, 51724, 50931, 51820, 50951, 51757, 51147, 51754, 51405, 50800, 62856, 50800, 50796, 50444, 51405, 51757, 59179, 50796, 66243, 50931, 51724, 50931, 51820, 51147, 51757, 60003, 61627, 50951, 51820, 51405, 50800, 61627, 50951, 51820, 51147, 50800, 50796, 61627, 50876, 51820, 51147, 51757, 50876, 52809, 60003, 50796, 76501, 51405, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 5175, 3152, 2214, 19, 10, 2933, 8, 9066, 619, 6, 4246, 81, 9756, 8, 30587, 29589, 6, 2382, 3459, 8669, 6, 38668, 11212, 6, 8, 21072, 4, 20, 1349, 16, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 8017, 163, 5683, 4, 20, 1049, 33215, 16739, 6, 274, 6, 2060, 6, 12608, 6, 8, 163, 428, 6, 35315, 1328, 5, 2214, 6, 2351, 10, 19448, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50801, 53071, 69044, 51387, 51769, 51387, 51289, 51480, 68780, 51480, 50420, 51769, 52192, 51206, 61390, 51206, 51387, 51769, 51387, 51224, 75359, 51206, 51387, 51769, 51387, 50435, 51224, 50978, 51658, 50905, 51326, 50905, 51206, 51387, 51769, 51387, 50441, 51224, 74458, 51206, 51387, 51769, 51387, 50801, 51242, 51326, 68465, 51206, 51387, 51769, 51387, 51289, 51480, 51289, 51480, 50768, 50287, 51480, 50456, 51206, 51387, 51769, 51387, 51755, 69044, 51387, 51769, 51387, 51289, 51480, 68780, 51480, 50420, 51206, 51387, 51769, 61390, 51206, 51387, 51769, 51387, 51224, 75359, 51206, 51387, 51769, 51387, 50435, 51224, 50978, 51658, 50905, 51326, 50905, 51206, 51387, 51769, 64714, 51206, 51387, 51769, 51387, 50801, 51242, 51326, 68465, 51206, 51387, 51769, 51387, 51289, 51480, 50768, 50287, 51480, 50456, 51206, 51387, 51769, 51387, 51755, 69044, 51387, 51769, 51387, 51289, 51480, 68780, 51480, 50420, 51206, 51387, 51769, 61390, 51206, 51387, 51769, 51387, 51224, 75359, 51206, 51387, 51769, 51387, 50435, 51224, 50978, 51658, 50905, 51326, 50905, 51206, 51387, 51769, 51387, 50441, 51224, 74458, 51206, 51387, 51769, 51387, 50801, 51242, 51326, 68465, 51206, 51387, 51769, 51387, 51289, 51480, 50768, 50287, 51480, 50456, 51206, 51387, 51769, 51387, 55669, 52218, 53071, 50830, 55207, 50886, 53327, 50867, 51302, 52218, 50830, 54321, 51628, 50804, 50809, 52594, 52444, 50804, 52831, 50804, 51820, 50804, 50809, 52612, 50809, 51382, 79233, 51754, 50804, 50809, 52198, 50809, 50799, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 55944, 63179, 51797, 51335, 51797, 50420, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 56323, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 58652, 54372, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 51000, 52594, 52444, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 59874, 54630, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 59874, 53484, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 58652, 54896, 51583, 50838, 69408, 51839, 50838, 53707, 51079, 51616, 51079, 51557, 51079, 51186, 50901, 51348, 51074, 51344, 51074, 51843, 51074, 52000, 50845, 51256, 50845, 51408, 50845, 52352, 51225, 51000, 50799, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 59874, 55587, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 56323, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 58652, 54372, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 55666, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 59874, 54630, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 59874, 53484, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 58652, 54896, 52971, 50838, 52023, 50838, 51943, 50838, 50678, 50281, 51079, 63512, 51079, 54322, 51079, 51228, 50901, 51885, 51074, 51511, 51074, 51548, 51074, 55655, 50845, 53008, 50845, 51917, 50845, 52352, 51225, 51000, 50799, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 55944, 63179, 51797, 51335, 51797, 50420, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 56323, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 58652, 54372, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 51000, 52594, 52444, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 59874, 54630, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 59874, 53484, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 58652, 54896, 52023, 50838, 51856, 50838, 52074, 50838, 63512, 51079, 52947, 51079, 52159, 51079, 51325, 50901, 51511, 51074, 51569, 51074, 51849, 51074, 53008, 50845, 51772, 50845, 51674, 50845, 52352, 51225, 51000, 50799, 52160, 50838, 51583, 50838, 51856, 50838, 50678, 50283, 51079, 53707, 51079, 52947, 51079, 51105, 50901, 51521, 51074, 51348, 51074, 51569, 51074, 54223, 50845, 52000, 50845, 51772, 50845, 52352, 51225, 59874, 55587, 52160, 50838, 51583, 50838, 51856, 50838, 50678, 50283, 51079, 53707, 51079, 52947, 51079, 51105, 50901, 51521, 51074, 51348, 51074, 51569, 51074, 54223, 50845, 52000, 50845, 51772, 50845, 52352, 51225, 56323, 52160, 50838, 51583, 50838, 51856, 50838, 50678, 50283, 51079, 53707, 51079, 52947, 51079, 51105, 50901, 51521, 51074, 51348, 51074, 51569, 51074, 54223, 50845, 52000, 50845, 51772, 50845, 52352, 51225 ]

[ 0, 250, 15352, 30054, 3495, 1619, 2214, 11, 230, 538, 6, 4246, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 930, 2233, 6, 8, 3152, 6757, 6, 7630, 14805, 6453, 9, 11098, 6, 657, 6, 8, 26545, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 5, 33215, 16739, 9, 211, 119, 6, 272, 6, 230, 6, 3676, 406, 6, 8, 274, 401, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50997, 52335, 50906, 51445, 50902, 51003, 63766, 55191, 51081, 55544, 51146, 53913, 51062, 55200, 51081, 54058, 50931, 50981, 56310, 52335, 50877, 52151, 50968, 71215, 50951, 55752, 51062, 54342, 50951, 52718, 50968, 54323, 50876, 50873, 54206, 52071, 50902, 51183, 63766, 55191, 51081, 54777, 50999, 53264, 50931, 53999, 50902, 54058, 50906, 58843, 50876, 50974, 55435, 52335, 50876, 62244, 51318, 58973, 58069, 50906, 56427, 50876, 51477, 50968, 51183, 50450, 51065, 55695, 50901, 50799, 52806, 52335, 51607, 69238, 52019, 50301, 52335, 50876, 65516, 52043, 66386, 54335, 51607, 55002, 52257, 58363, 55002, 50951, 54342, 53876, 51295, 50856, 65348, 51295, 56797, 59242, 54258, 51619, 50326, 55247, 52807, 56255, 64510, 53586, 52257, 57945, 50838, 67547, 52335, 51607, 52335, 52327, 59384, 61849, 52335, 50876, 52335, 50931, 57437, 52257, 72895, 58069, 51669, 51452, 50902, 51452, 50432, 52043, 58377, 65064, 54137, 52327, 78145, 67883, 59124, 52807, 56255, 73089, 50845, 76759, 53142, 51440, 53588, 51669, 51692, 50856, 51807, 50302, 53142, 50877, 53588, 50902, 51692, 50420, 52327, 78504, 64396, 52807, 52104, 50325, 56427, 53876, 78145, 67996, 61112, 52807, 58377, 60472, 54323, 52327, 58377, 62244, 54509, 51669, 70358, 51074, 77631, 53055, 51929, 52212, 51808, 51145, 50856, 75860, 53055, 50965, 52212, 50973, 67568, 52327, 66257, 55191, 54050, 51517, 50324, 54498, 51774, 51490, 51434, 57820, 51773, 52168, 50856, 60259, 51490, 50861, 57820, 50906, 52168, 50444, 51669, 63785, 56697, 52327, 51310, 50931, 51310, 52591, 51773, 51680, 50906, 51680, 50421, 58997, 53383, 51669, 60473, 50932, 59584, 52810, 52327, 75598, 51079, 64258, 53614, 51669, 51697, 52807, 60756, 54126, 50325, 50892, 66076, 53783, 52257, 51965, 50816, 65934, 51965, 64495, 54105, 51669, 60379, 50905, 59584, 54199, 51774, 52783, 51773, 77212, 62530, 52783, 50906, 51074, 58997, 50857, 75235, 50914, 51515, 50995, 51440, 51310, 51132, 51295, 50856, 61530, 71445, 61581, 61817, 51310, 64258, 54657, 51607, 58722, 56307, 51515, 50972, 52327, 59140, 55921, 57911, 66257, 54342, 53369, 51183, 51434, 50981, 51773, 50981, 52327, 51318, 51416, 51608, 50297, 51183, 50861, 62163, 65910, 51318, 50437, 50856, 69959, 55965, 51614, 51077, 50899, 63883, 51434, 51318, 51684, 58657, 51318, 50449, 50856, 58162, 60649, 51773, 61419, 55670, 53369, 51189, 51416, 69769, 51189, 61532, 59854, 50856, 51177, 67548, 51127, 51440, 50943, 51607, 50849, 51132, 57394, 64291, 51127, 50877, 59391, 50849, 56318, 76157, 58997, 53728, 52327, 62244, 53172, 51440, 51387, 51607, 57353, 64709, 65657, 76830, 50901, 64258, 52810, 53369, 51790, 51440, 51003, 51607, 50914, 52327, 51189, 51416, 71570, 51790, 50877, 60559, 65208, 71378, 51660, 51127, 50856, 54035, 65788, 51127, 50443, 64258, 51210, 50444, 51440, 51295, 51684, 60598, 79766, 51607, 52108, 57075, 65090, 50795, 62527, 54900, 52327, 50845, 51416, 59879, 50845, 64258, 50857, 75235, 50981, 51614, 51310, 51434, 50901, 51773, 50901, 51132, 51218, 50856, 55998, 51800, 50297, 61849, 51310, 50861, 61419, 50901, 64495, 53932, 52327, 64213, 50901, 64258, 60417, 62527, 52524, 51434, 50974, 51773, 56923, 58473, 51008, 50861, 63422, 50892, 50431, 59584, 53911, 53369, 51047, 51660, 51218, 51440, 51218, 51607, 50889, 51416, 71570, 51047, 50916, 51218, 50877, 51218, 50876, 53912, 50856, 75751, 50914, 58997, 54247, 52327, 50805, 51684, 62244, 52596, 51440, 50873, 51607, 50805, 51416, 54792, 65928, 58800, 56964, 50805, 56318, 52955, 53369, 51074, 51515, 51127, 51773, 51115, 51669, 51141, 51338, 51519, 50297, 69442, 51127, 50906, 51115, 79728, 59584, 59700, 50856, 51377, 75235, 51115, 51132, 53769, 51800, 50297, 71215, 52327, 64213, 50901, 50421, 59584, 61823, 50816, 58382, 51773, 50892, 51669, 50807, 51132, 51141, 50856, 75600, 60756, 53182, 53369, 51047, 51050, 51047, 61532, 60831, 50798, 64835, 54233, 51434, 51003, 51607, 50849, 52043, 58263, 60559, 65544, 50849, 58997, 52597, 52257, 51115, 51684, 70452, 70703, 51773, 51003, 51416, 56923, 58162, 50878, 50906, 51003, 58997, 54583, 51774, 50892, 51684, 62530, 50892, 75235, 50943, 51515, 50943, 51440, 50943, 52327, 64835, 51519, 50297, 60241, 60015, 67780, 50943, 64258, 54611, 51440, 65186, 60184, 51553, 53182, 53369, 50901, 51515, 52011, 51440, 50974, 51607, 50915, 52327, 51619, 50297, 58520, 53126, 50313, 58722, 67883, 54975, 51224, 53218, 53369, 51514, 50297, 55125, 51774, 50873, 51434, 50901, 51773, 50901, 52327, 50901, 51416, 50889, 51289, 60339, 57094, 61419, 64213, 73894, 52463, 51411, 53368, 51411, 75235, 51295, 51515, 51965, 51440, 51003, 51607, 50889, 52327, 50914, 51132, 62343, 60095, 51608, 50297, 78704, 51965, 50877, 60559, 62931, 50914, 50425, 52463, 51400, 53368, 77399, 51440, 50943, 51607, 50981, 52327, 64019, 53592, 56876, 59391, 65910, 57421, 53369, 51079, 51515, 50974, 51132, 55732, 51458, 50297, 65594, 56298, 52806, 51330, 51434, 50981, 51440, 50845, 51607, 50914, 52043, 50889, 51349, 62343, 57594, 50873, 52328, 51203, 51027, 67278, 60268, 57586, 68547, 50889, 53059, 51203, 52129, 54323, 51434, 50845, 51607, 50849, 52043, 52504, 59384, 50805, 52328, 51400, 50861, 57586, 65544, 55143, 50915, 53059, 51400, 50456, 52806, 51074, 51349, 53834, 63663, 51074, 50799, 57117, 51003, 51434, 50845, 51607, 50845, 52043, 50845, 51526, 56001, 53592, 50849, 52328, 51458, 50290, 58657, 57586, 61527, 50845, 53059, 55689, 51440, 50892, 51607, 50849, 52327, 53834, 50849, 52463, 51056, 50877, 58007, 62377, 50849, 53368, 68106, 51614, 52136, 50816, 60095, 57260, 52136, 50431, 51982, 51562, 52631, 51562, 50432, 57117, 51074, 51515, 51145, 51773, 51183, 51669, 51103, 51526, 56001, 51519, 50290, 69442, 51145, 50906, 51183, 50902, 64050, 57117, 73016, 54367, 51519, 50290, 68288, 51526, 56001, 53794, 51614, 63097, 56255, 64151, 50974, 50455, 51829, 50901, 52588, 55670, 51434, 50873, 51607, 50873, 51526, 55998, 57094, 56964, 74304, 51617, 51377, 52564, 51377, 75235, 51108, 52806, 51079, 51774, 50981, 51515, 51003, 51440, 50943, 51132, 55530, 54367, 51519, 50297, 52026, 50301, 68996, 60138, 60598, 50943, 57087, 78868, 51617, 51056, 52564, 68106, 51774, 50995, 51515, 50915, 51440, 50889, 51132, 62877, 60095, 69214, 60367, 58421, 55112, 53722, 60386, 51458, 50294, 54938, 52769, 51108, 51434, 50892, 51773, 50873, 51137, 58955, 53592, 50805, 52317, 51177, 51026, 63821, 61366, 50873, 53350, 67367, 51515, 51166, 51440, 54788, 50892, 51617, 59198, 71454, 76236, 74299, 51676, 51312, 53191, 72380, 52557, 50972, 51515, 51166, 51434, 50901, 51137, 64648, 60095, 51458, 50302, 60912, 71395, 55670, 52769, 52212, 50798, 71115, 52212, 50461, 51829, 51056, 52588, 51056, 50799, 54437, 50943, 51515, 50915, 51434, 50915, 51607, 50889, 51416, 63732, 53592, 51519, 50292, 60241, 58339, 59258, 55385, 50798, 79490, 55906, 55440, 51774, 51141, 51434, 51538, 51607, 51538, 50816, 53592, 50849, 51829, 51218, 50900, 51141, 50861, 51538, 50876, 51538, 55076, 50987, 52588, 51218, 50432, 54437, 50849, 52769, 53577, 51660, 50873, 51416, 57685, 51455, 50292, 77782, 53577, 50916, 50873, 58997, 73320, 54437, 51003, 51137, 55998, 53592, 51458, 50292, 60510, 51338, 57685, 60095, 50849, 61532, 54276, 51181, 54792, 50805, 51553, 50849, 56318, 54424, 51774, 51452, 51137, 50901, 51289 ]

[ 0, 250, 15855, 2125, 14, 115, 28, 233, 9, 10, 822, 19834, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 4149, 6, 19, 10, 11602, 9, 9884, 8, 11926, 4, 2595, 10312, 9382, 15, 10, 2352, 6757, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 6, 5, 15229, 1575, 10, 33215, 16739, 9, 163, 428, 6, 274, 406, 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 ]

[ 56103, 50417, 69982, 53082, 50418, 55546, 52644, 56146, 51362, 55339, 51294, 50436, 56146, 72538, 55339, 50844, 50442, 56146, 50807, 50443, 55339, 51486, 50455, 62882, 51013, 52478, 56146, 51013, 50430, 56283, 51363, 54304, 50807, 50442, 56967, 51941, 57281, 53454, 60058, 53753, 54602, 51422, 50796, 50430, 56445, 51790, 55849, 51933, 55339, 51538, 52177, 56967, 51362, 57281, 52919, 50418, 54602, 51417, 60058, 51422, 50437, 55339, 51379, 50443, 56445, 50889, 54602, 51103, 50456, 55339, 50807, 69982, 52069, 55753, 56283, 51091, 55128, 51591, 50435, 55546, 51241, 57483, 51189, 50451, 56445, 52500, 56487, 52335, 50452, 60058, 52062, 50796, 50456, 55339, 51343, 56445, 53082, 54602, 51562, 50457, 60058, 51801, 75695, 54391, 51043, 56283, 51121, 50435, 55339, 51362, 54602, 51353, 50448, 57281, 51894, 50796, 50439, 56445, 52903, 55339, 51472, 54602, 51397, 50459, 54391, 51100, 56283, 50795, 52177, 55339, 51226, 54602, 51991, 50430, 57281, 51790, 52591, 56146, 50918, 56283, 53380, 57281, 55408, 55128, 51351, 55546, 51714, 50446, 56146, 51167, 50452, 54304, 69085, 54304, 51356, 55128, 51675, 50796, 50436, 56283, 51016, 54304, 51016, 50449, 56445, 51717, 60058, 52644, 54602, 51145, 56967, 51356, 69341, 56967, 51060, 54602, 51696, 50433, 55339, 50937, 50440, 55339, 51538, 75695, 57483, 53413, 54391, 51218, 56283, 50983, 50448, 56283, 50812, 54391, 64870, 54391, 51358, 50454, 56283, 50943, 52478, 56967, 51413, 50437, 55339, 51178, 54304, 50805, 50443, 54391, 50807, 56283, 50981, 50455, 60058, 52821, 55339, 51343, 54602, 51397, 55746, 56283, 50805, 54391, 77066, 55339, 50896, 54602, 51264, 50445, 57281, 51538, 50796, 50434, 57483, 53090, 54391, 51141, 50454, 54391, 51933, 50460, 54977, 50915, 56283, 50943, 59412, 56445, 52122, 56967, 50983, 50442, 54304, 50879, 50443, 55339, 51110, 50448, 54391, 51091, 50449, 56283, 51134, 50452, 54304, 56603, 55339, 51661, 50799, 54602, 51417, 60058, 52045, 50433, 54391, 51328, 56283, 50977, 50439, 54602, 52069, 55339, 51091, 50453, 57281, 51790, 50796, 50440, 56146, 50983, 50441, 57281, 53753, 55546, 52644, 55128, 50943, 55339, 51141, 50461, 55339, 50844, 56146, 50921, 52478, 55339, 51692, 56146, 50914, 50431, 62882, 51016, 50443, 56146, 51013, 50455, 57483, 50943, 56283, 51109, 54304, 51013, 53069, 55339, 51134, 56967, 51991, 50420, 56445, 53082, 56487, 51486, 50433, 54602, 56306, 55339, 51036, 50458, 60058, 51452, 55849, 51161, 50796, 50447, 57281, 53454, 56967, 51562, 60058, 51714, 50448, 54602, 51183, 52591, 55339, 71783, 54602, 51047, 56445, 61298, 55339, 51204, 50440, 69982, 52069, 50452, 56283, 51091, 55128, 51591, 52177, 57483, 51351, 50418, 55546, 51191, 50432, 56445, 54527, 60058, 54143, 56487, 53233, 50796, 50453, 55339, 51364, 56445, 52821, 54602, 51446, 60058, 52096, 59412, 54391, 51233, 56283, 67772, 54602, 51109, 55339, 51294, 50445, 57281, 51518, 54602, 52140, 50796, 50434, 56445, 51422, 55339, 51472, 50435, 54602, 51562, 50455, 54391, 51194, 56283, 75389, 55339, 51294, 54602, 51255, 59412, 57281, 51452, 56445, 53486, 54602, 51623, 51809, 56146, 51362, 56283, 51241, 55546, 51677, 55128, 51157, 57281, 52826, 50440, 56146, 51286, 50441, 56283, 51157, 50446, 54304, 76335, 56283, 51356, 54304, 51527, 55128, 51692, 50796, 50430, 56283, 51013, 54304, 51016, 50443, 54602, 51047, 56967, 51661, 56445, 52149, 50444, 60058, 57598, 52591, 54602, 51359, 56967, 70266, 55339, 53627, 55339, 51538, 55753, 54391, 51141, 57483, 52821, 50422, 56283, 51141, 50441, 54391, 50808, 56283, 54803, 56283, 50915, 54391, 51933, 50460, 56967, 51472, 77033, 55339, 51100, 54304, 68405, 56283, 51003, 54391, 55082, 60058, 52903, 55339, 51364, 54602, 51749, 55753, 56283, 50873, 54391, 68033, 55339, 51294, 50427, 54602, 51411, 50439, 57281, 51692, 54602, 51518, 79254, 57483, 53082, 56445, 53280, 54391, 51295, 50430, 54977, 51148, 50449, 56445, 52122, 54391, 51933, 50455, 56283, 50889, 52591, 56967, 51446, 50439, 54304, 50795, 55339, 51177, 50445, 56283, 51003, 54391, 50914, 50457, 60058, 52644, 55339, 51141, 50458, 54602, 51283, 75695, 56283, 50845, 54391, 51753, 50434, 55339, 51204, 54602, 50915, 50448, 54602, 51742, 57281, 51790, 50796, 50439, 55546, 52919, 56146, 51343, 57281, 52919, 55128, 51112, 55339, 51157, 50458, 56146, 64959, 55339, 50830, 52177, 56146, 51013, 55339, 51933, 50429, 62882, 51073, 50441, 56146, 50889, 50454, 56283, 51400, 57483, 50943, 54304, 50889, 52478, 56445, 53478, 54602, 51945, 56967, 52500, 50419, 56487, 70268, 57281, 51655, 50457, 60058, 51518, 55849, 51941, 55339, 51991, 76501, 57281, 52821, 56967, 51285, 54602, 51103, 60058, 51422, 56020, 55339, 51095, 50429, 54602, 53486, 56445, 51191, 50443, 55339, 51241, 69982, 51945, 50456, 56283, 51091, 55128, 51675, 56020, 57483, 51241, 55546, 51241, 50437, 56445, 54484, 60058, 53478, 56487, 51244, 51601, 57483, 51351, 54977, 51381, 50431, 56487, 53486, 57281, 51742, 57731, 55339, 51472, 56445, 53090, 54602, 51103, 60058, 52122, 50444, 54391, 51194, 50445, 56283, 67070, 54602, 51056, 55339, 51362, 51809, 57281, 51991, 54602, 51518, 50455, 56445, 51662, 55339, 51291, 54602, 51413, 75695, 54391, 51100, 56283, 50938, 50433, 55339, 51294, 50434, 54602, 51377, 50446, 56445, 52015, 54602, 51790, 50447, 57281, 51742, 50796, 50437, 55546, 51677, 57281, 53295, 55128, 51115, 56283, 51183, 56146, 51145, 51601, 56146, 51158, 56283, 51157, 50421, 54304, 50924, 50427, 56283, 51161, 54304, 51933, 50428, 55128, 51677, 52177, 56445, 51801, 56967, 51077, 54602, 52644, 60058, 53478, 50442, 56967, 51192, 50448, 55339, 74022, 55339, 51161, 50796, 50445, 57483, 52644, 54391, 51189, 56283, 51141, 51809, 54391, 50910, 56283, 63980, 54391, 51591, 56283, 50943, 50434, 56967, 51472, 50454, 55339, 51177, 54304, 69189, 54391, 50914, 56283, 51003, 59412, 55339, 51446, 60058, 53082, 54602, 51627, 50445, 56283, 50845, 54391, 51101, 50451, 54602, 51377, 55339, 51294, 51809, 54602, 51945, 57281, 51692, 50454, 57483, 53090, 54391, 51141, 55746, 54391, 51941, 50432, 54977, 51003, 56283, 50914, 50445, 56445, 52122, 56967, 51417, 51809, 54304, 50805, 55339, 51212, 50422, 54391, 50914, 56283, 50915, 50435, 60058, 53454, 55339, 51291, 54602, 51749, 50456, 56283, 50977, 50457, 54391, 51100, 50799, 54602, 51312, 55339, 51204, 50428, 54602, 51538, 57281, 51518, 53069, 56146, 51472, 57281, 52821, 55128, 51291, 55546, 52821, 55339, 51291, 50441, 56146, 50940, 55339, 58726, 55339, 51894, 56146, 51541, 50460, 62882, 51362, 55746, 56146, 60315, 57483, 50932, 56283, 51400, 54304, 51204, 50439, 55128, 51178, 50452, 57281, 53478, 60058, 53082, 56967, 52536, 56445, 53413, 54602, 51422, 50796, 50443, 55849, 51161, 55339, 51714, 50796, 50434, 57281, 52903, 54602, 51291, 56967, 51285, 60058, 52069, 50454, 55339, 51175, 50461, 54602, 51452, 56445, 51204, 69341, 69982, 51307, 55339, 51091, 50442, 56283, 51091, 55128, 51790, 50457, 57483, 51295, 55546, 51141, 59412, 56445, 53002, 56487, 67778, 60058, 51801, 57281, 51452, 50458, 57483, 51448, 54977, 51562, 50796, 50430, 56487, 52140, 50431, 57281, 51422, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 5175, 2214, 11, 12608, 3694, 16, 3820, 19, 34879, 8, 1007, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 657, 4, 85, 3136, 23, 41, 12447, 1001, 20889, 11, 204, 73, 306, 86, 6, 4246, 10, 33215, 13931, 9, 230, 10431, 73, 534, 10431, 6, 12608, 119, 6, 8, 274, 10431, 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, 0, 0, 0, 0 ]

[ 58402, 51503, 56190, 52115, 51503, 53467, 51503, 56962, 51736, 51324, 58509, 54789, 50973, 50795, 51324, 58647, 51503, 56962, 51923, 51324, 58509, 50795, 58439, 56730, 52115, 51503, 52296, 50989, 79818, 51503, 52359, 51360, 58509, 54789, 51360, 59123, 53658, 51360, 51757, 50989, 51923, 51966, 58509, 50795, 58439, 56962, 52115, 51503, 53467, 51503, 59625, 51736, 51324, 64404, 54789, 50965, 50795, 51324, 58647, 51503, 59625, 51923, 51324, 64404, 50795, 58439, 56962, 52115, 51503, 52296, 50989, 79818, 51503, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51966, 64404, 50795, 62856, 50800, 51503, 56190, 55728, 51147, 51835, 51503, 53467, 51147, 50800, 51503, 56962, 51736, 51324, 58509, 51646, 51114, 52831, 68631, 50973, 50795, 51324, 50967, 50447, 51114, 51757, 51503, 56962, 51923, 51324, 58509, 50795, 58540, 50800, 51503, 56730, 55728, 51028, 51835, 51503, 52296, 67243, 50989, 79818, 51503, 52359, 51360, 58509, 54789, 51360, 59123, 53658, 51360, 51757, 50989, 51923, 51966, 58509, 50795, 58439, 56962, 52115, 51503, 53467, 51503, 59625, 51736, 51324, 64404, 54789, 50965, 50795, 51324, 58647, 51503, 59625, 51923, 51324, 64404, 50795, 58439, 56962, 52115, 51503, 52296, 50989, 79818, 51503, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51966, 64404, 50795, 58439, 56190, 66107, 53561, 51503, 53467, 51503, 56962, 51736, 51503, 58509, 59688, 58627, 50973, 50795, 51503, 58647, 51503, 56962, 51923, 51503, 58509, 50795, 58066, 56730, 52115, 51324, 52296, 50989, 79818, 51324, 52359, 51324, 58509, 54789, 51324, 59123, 53658, 51324, 51757, 50989, 51923, 51966, 58509, 50795, 57497, 56962, 52115, 51360, 53467, 51360, 59625, 51736, 51360, 64404, 54789, 50965, 62515, 58647, 51360, 59625, 51923, 51360, 64404, 50795, 57497, 56962, 52115, 51360, 52296, 50989, 79818, 51360, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51197, 64404, 50795, 62856, 50800, 51503, 56190, 55728, 51147, 51835, 51503, 53467, 51147, 50800, 51503, 56962, 51736, 51503, 58509, 51646, 51114, 52831, 68631, 50973, 50795, 51503, 50967, 50447, 51114, 51757, 51503, 56962, 51923, 51503, 58509, 50795, 58540, 70419, 56730, 55728, 51028, 51835, 51324, 52296, 67243, 50989, 79818, 51324, 52359, 51324, 58509, 54789, 51324, 59123, 53658, 51324, 51757, 50989, 51923, 51966, 58509, 50795, 57497, 56962, 52115, 51360, 53467, 51360, 59625, 51736, 51360, 64404, 54789, 50965, 62515, 58647, 51360, 59625, 51923, 51360, 64404, 50795, 57497, 56962, 52115, 51360, 52296, 50989, 79818, 51360, 52359, 51360, 64404, 54789, 51360, 62674, 53658, 51360, 51757, 50989, 51923, 51197, 64404, 50795, 66302, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50432, 51147, 52728, 51086, 50807, 58066, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 57497, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 62856, 50800, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 64163, 51147, 52296, 51147, 51724, 51114, 52831, 51114, 52513, 51114, 51757, 51086, 50807, 58540, 50800, 51197, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50906, 64163, 51028, 52296, 67243, 57497, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 66302, 50807, 51220, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50432, 51147, 78210, 52728, 51086, 50807, 73607, 50807, 51324, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50432, 51220, 52728, 51114, 53312, 51147, 50807, 57497, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 50450, 51114, 53312, 51147, 50807, 62856, 50800, 51220, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 64163, 51147, 52296, 51147, 51628, 51147, 52424, 51114, 52831, 51114, 52513, 51114, 51757, 51086, 50807, 58540, 50800, 51399, 50807, 51197, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50906, 64163, 51028, 52296, 51028, 51628, 51220, 52728, 51081, 50807, 62856, 50807, 51360, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 51036, 57190, 57981, 66107, 50807, 51220, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50423, 50965, 57981, 51736, 50965, 57981, 59688, 78210, 58627, 50965, 57981, 51798, 50965, 57981, 68339, 76679, 50973, 57367, 50795, 73607, 50807, 51324, 51036, 51086, 51036, 50956, 51036, 50989, 56100, 50973, 57367, 54253, 50973, 57367, 51736, 51220, 52424, 50973, 57367, 53658, 50973, 57367, 51798, 51114, 53312, 50973, 57367, 59688, 50807, 58540, 61907, 62515, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 50423, 51028, 61907, 51736, 51028, 61907, 54789, 51028, 61907, 51798, 51028, 61907, 54093, 51028, 76291, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 56100, 51028, 56645, 54253, 51028, 56645, 51646, 51028, 56645, 53658, 51028, 56645, 51798, 51114, 53312, 51028, 56645, 59688, 50807, 62856, 62674, 57981, 66107, 50807, 51176, 51161, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 64163, 51147, 52296, 51147, 62674, 57981, 51736, 50965, 57981, 59688, 52424, 51114, 52831, 51114, 62674, 57981, 53658, 51114, 51757, 50965, 57981, 68339, 76679, 51028, 61907, 50795, 58540, 50800, 51399, 50807, 51197, 51036, 51086, 51036, 50956, 51036, 50989, 51036, 50906, 64163, 51028, 51835, 51028, 61907, 53471, 51028, 52765, 51028, 61907, 51736, 51220, 52424, 51028, 61907, 53658, 51028, 61907, 51798, 51081, 53312, 51028, 61907, 50795, 58540, 59688, 59688, 50807, 51360, 51036, 51040, 51036, 50989, 51036, 50965, 51036, 50423, 51028, 59688, 51736, 51028, 59688, 54789, 51028, 59688, 51798, 51028, 59688, 54093, 51028, 59688, 50795, 57497, 51036, 51040, 51036, 50871, 51036, 50965, 56100, 51028, 59688, 54253, 51028, 59688, 51646, 51028, 59688, 53658, 51028, 59688, 51923, 51028, 59688, 50795, 58439, 56962, 57981, 66107, 50807, 51176, 51036, 50956, 51036, 50965, 56100, 51503, 53467, 51503, 56962, 57981, 51736, 51503, 56962, 57981, 59688, 58627, 50965, 57981, 50795, 51503, 58647, 51503, 56962, 57981, 51923, 51503, 54093, 50973, 57367, 50795, 58066, 74213, 50807, 51086, 51036, 50956, 51036, 50989, 56100, 51324, 50800, 50973, 57367, 79818, 51324, 54056, 50973, 57367, 51736, 51324, 66107, 52424, 50973, 57367, 54789, 51324, 52513, 51324, 50800, 50973, 57367, 51798, 51114, 53312, 51966, 56190, 57367, 59688, 50807, 57497, 57981, 61907, 64404, 51036, 50989, 51036, 50965, 56100, 51360, 53467, 51360, 57981, 61907, 51736, 51360, 57981, 61907, 54789, 51028, 61907, 62515, 58647, 51360, 57981, 61907, 51923, 51360, 54093, 51028, 76291, 57497, 64404, 51036, 50871, 51036, 50965, 56100, 63049, 51028, 76291, 50424, 51360, 54056, 51028, 56645, 51736, 51360, 51646, 51028, 56645, 54789, 51360, 52513, 63049, 51028, 56645, 51798, 51114, 53312, 51197, 57981, 56645, 59688, 50807, 58439, 56962, 57981, 66107, 50807, 51176, 51036, 50956, 51036, 50965, 51036, 50973, 56100, 51503, 53467, 51503, 56962, 57981, 51736, 51503, 56962, 57981, 59688, 58627, 50965, 57981, 50795, 51503, 58647, 51503, 56962, 57981, 51923, 51503, 54093, 51028, 61907, 50795, 55881, 74213, 50807, 51086, 51036, 50956, 51036, 50989 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 25306, 619, 6, 4246, 13305, 6, 21072, 6, 21979, 8669, 6, 6755, 12547, 6, 8, 38668, 11212, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 16331, 33215, 16739, 9, 230, 119, 6, 274, 6, 230, 119, 6, 2060, 119, 1176, 406, 6, 8, 272, 17992, 7, 63, 9066, 8, 32076, 1619, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50453, 50931, 50924, 60212, 50999, 60021, 51234, 51962, 50326, 55428, 54522, 53849, 53679, 53849, 55796, 55392, 59601, 55392, 75862, 50454, 51050, 51824, 52190, 51058, 51070, 51470, 51601, 50997, 52192, 50832, 50917, 52005, 68087, 51470, 50425, 50900, 51376, 52190, 51058, 51070, 51824, 56514, 52731, 50435, 50899, 51058, 50913, 51174, 52190, 51021, 55513, 51824, 51070, 52731, 50450, 51236, 54887, 50454, 50997, 51824, 50913, 51058, 51809, 51050, 52048, 50913, 54071, 51070, 52192, 50421, 53679, 50363, 50412, 56947, 50978, 52507, 62321, 56336, 53849, 59601, 59828, 75862, 50436, 52190, 51058, 51070, 51470, 56514, 51470, 50445, 51062, 66639, 50917, 50455, 52190, 51058, 51070, 51824, 50460, 52005, 51470, 52177, 51146, 50917, 50913, 51174, 52190, 51021, 52005, 57104, 51062, 51006, 51845, 51376, 51070, 52731, 50431, 51845, 52731, 50436, 50999, 50917, 51925, 70739, 51376, 52819, 52192, 50446, 50913, 54071, 51070, 52192, 50456, 51197, 52169, 50326, 52069, 53953, 62321, 53679, 62321, 56679, 58651, 56336, 57598, 59601, 57771, 75862, 52478, 50997, 51470, 52190, 51058, 51070, 51470, 50427, 50899, 52192, 50832, 50917, 52005, 68087, 51470, 50437, 50956, 59977, 50328, 51411, 52190, 51058, 51070, 51824, 56514, 52731, 50447, 50861, 57800, 50321, 77227, 51174, 52190, 61063, 51070, 52731, 50461, 51236, 54887, 52478, 50876, 51448, 50913, 51058, 50428, 50913, 54071, 51070, 52192, 62275, 51254, 53465, 55174, 56679, 56515, 56336, 55392, 59601, 57771, 51889, 68527, 51026, 52192, 52190, 51058, 51070, 51470, 56514, 51470, 50457, 51081, 76553, 53957, 50832, 50917, 53069, 50956, 52782, 52190, 51058, 51070, 51824, 50424, 52005, 51470, 78312, 57800, 50328, 50987, 50913, 51174, 52190, 51021, 52005, 56480, 51081, 51470, 51845, 51376, 51070, 52731, 50443, 51845, 52731, 50448, 51147, 51006, 51925, 70739, 51376, 52819, 52192, 50458, 51147, 54071, 50913, 54071, 51070, 52192, 51601, 51062, 51824, 60284, 57800, 50333, 51134, 51889, 69353, 50900, 51254, 52190, 51058, 51070, 51470, 69332, 51824, 50832, 50917, 52005, 68087, 51470, 50449, 50965, 51470, 52190, 51058, 51070, 51824, 56514, 52731, 50458, 50906, 51824, 50913, 51174, 52190, 51021, 52591, 50876, 52192, 51070, 52731, 50425, 51236, 54887, 50430, 50931, 52731, 50913, 51058, 50440, 50913, 54071, 51070, 52192, 50442, 50931, 55765, 50443, 51147, 51550, 50445, 51062, 51123, 50448, 51339, 52989, 51889, 67238, 52190, 51058, 51070, 51470, 56514, 51470, 55753, 50832, 50917, 50424, 50758, 50336, 53098, 73113, 70898, 76499, 60155, 60891, 61699, 61867, 71135, 51058, 51070, 51824, 50432, 70877, 58662, 57205, 50822, 58458, 64359, 62218, 50870, 60468, 54858, 50616, 51470, 50437, 57205, 58751, 61948, 50910, 60468, 76428, 50945, 51413, 50871, 76028, 50924, 51743, 51535, 52036, 51103, 51224, 51138, 50913, 51174, 52190, 51021, 52005, 72927, 64243, 79392, 61948, 54626, 51845, 51376, 51070, 52731, 50455, 51845, 52731, 50460, 50964, 51134, 50877, 51710, 50325, 50924, 51656, 51318, 52430, 51310, 62672, 50938, 51326, 51138, 51925, 70739, 51376, 52819, 52192, 56020, 51289, 51138, 50913, 54071, 51070, 52192, 50431, 51096, 54454, 51234, 64152, 55428, 51081, 55428, 51863, 52071, 52735, 51991, 60468, 53651, 54522, 56235, 55796, 58643, 51037, 54454, 50798, 54444, 50917, 51335, 50937, 51070, 50977, 50441, 51050, 51824, 50872, 52136, 50791, 51254, 51889, 51058, 51070, 51376, 50451, 50997, 52192, 50939, 79427, 50924, 51070, 51376, 50460, 50900, 51376, 51007, 51795, 50791, 52782, 52190, 51174, 51070, 51470, 56020, 50899, 51058, 51711, 52069, 52626, 51894, 79843, 50903, 57725, 52715, 50936, 52190, 50938, 51070, 50977, 50970, 51627, 56014, 51824, 50791, 51824, 51236, 50977, 51070, 51824, 50442, 50997, 51824, 50939, 66009, 51006, 51240, 51824, 51070, 51470, 50947, 51189, 50452, 51096, 51411, 51050, 52048, 50872, 58571, 56022, 52192, 51240, 50917, 51070, 77403, 51007, 57070, 50913, 51254, 50460, 51064, 51662, 50461, 51443, 53487, 51026, 50978, 51838, 51714, 52886, 52069, 56336, 53454, 50988, 53898, 50798, 54444, 50924, 51070, 54071, 57731, 50848, 73844, 51376, 51889, 50924, 51070, 51824, 50433, 51062, 50924, 57205, 76601, 69365, 50987, 74113, 50442, 50939, 52392, 50791, 51470, 52190, 51058, 51070, 51470, 51618, 52782, 50452, 51146, 50917, 51711, 51413, 52626, 51446, 58448, 50938, 50847, 51294, 50903, 57725, 52715, 50924, 52190, 50917, 74113, 59733, 51006, 57205, 51254, 50848, 53957, 50791, 76524, 51376, 52190, 50924, 51070, 51470, 50419, 50791, 52192, 50913, 51174, 50424, 51096, 51562, 50999, 50917, 51863, 51397, 52735, 51562, 62672, 76601, 51400, 50843, 51058, 51070, 55811, 50428, 51236, 51376, 50433, 78547, 50852, 50977, 51240, 50978, 51070, 52192, 50443, 51105, 53651, 51197, 52169, 50326, 52069, 51615, 52151, 52137, 51991, 60468, 51803, 53953, 58962, 53361, 57820, 56336, 55408, 59601, 55482, 51751, 53898, 50798, 54444, 50917, 51070, 77462, 50997, 51470, 50979, 52188, 50791, 51254, 51889, 51058, 51070, 51376, 54206, 52192, 50847, 76104, 50924, 51070, 51376, 50424, 50956, 59977, 50328, 51411, 57205, 51162, 50847, 52192, 50939, 53435, 50791, 52782, 52190, 51174, 51070, 51470, 50425, 53729, 51162, 73866, 57800, 50321, 51448, 51863, 52069, 52735, 51894, 61948, 51351, 50847, 51346, 50903, 57725, 52715, 50936, 52190, 50938, 51070, 50977, 51438, 72758, 50979, 52378, 50791, 51824, 51236, 50977, 51070, 51824, 50453, 51032, 51933, 50454, 50876, 51448, 65918, 51103, 50847, 51345, 50791, 51006, 51240, 51824, 51070, 51470, 51601, 50927, 50866, 50979, 51576, 50798, 56022, 52192, 51240, 50917, 51070, 51470, 56063, 51254, 50425, 50964, 52903, 51085, 51254, 51711, 52919, 52626, 53259, 53460, 51293, 53465, 51293, 56679, 51447, 56336, 52644, 59601, 53478, 50885, 53898, 50798, 54444, 50924, 51070, 54071, 50435, 51026, 52192, 50847, 51419, 50791, 51376, 51889, 50924, 51070, 51824, 50444, 51081, 76553, 53957, 60468, 51162, 50909, 69365, 50987, 74113, 51408, 51189, 50454, 50956, 52782, 50847, 76104, 51470, 52190, 51058, 51070, 51470, 51621, 52782, 51809, 50871, 57800, 50328, 50987, 57205, 50978, 51298, 51285, 50903, 57725, 52715, 50924, 52190, 50917, 74113, 51334, 51116, 50424, 51408, 51645, 50426, 51081, 51470, 60468, 51006, 50847, 51679, 50791, 76524, 51376, 52190, 50924, 51070, 51470, 55994, 52192, 50913, 51174, 50434, 51674, 51448, 50436, 51147, 51006, 52340, 51477, 54339, 51295, 64243, 51351, 50939, 50980, 50843, 51058, 51070, 55811, 50440, 51236, 51376, 50445, 51147, 54071, 50909, 51400, 50852, 50977, 51240, 50978, 51070, 52192, 50450, 51062, 51824, 50454, 51893, 51790, 51438, 63318, 50945, 53363, 51050, 57800, 50333, 51134, 52036, 55408, 53718, 54153, 58458, 51452, 52693, 52096, 53465, 52204, 55796, 52122, 66789, 52121, 51164, 53090, 50798, 54444, 50917, 51070, 59960, 51438, 61688, 51438, 50982, 51601, 51438, 56231, 50900, 51254, 50872, 51576, 50791, 51254, 51889, 51058, 51070, 51376, 51438, 66478, 51438, 59993, 59601, 56599, 50423, 51438, 59509, 51438, 52966, 50871, 51824, 50939, 51345, 50791, 50924, 51070, 51376, 50427, 51438, 57845, 51438, 59278, 51438, 60002, 51438, 54288, 51438, 60591, 50965, 51470, 50909, 66009, 52782, 51224, 50860, 52190, 51174, 51070, 71552, 51438, 58751, 51438, 61577, 51438, 54434, 51438, 59002, 51256, 51003, 76495, 51824, 61948, 50866 ]

[ 0, 713, 17627, 17274, 3152, 8, 3495, 2214, 6, 278, 11, 10, 20902, 132, 73, 306, 86, 6543, 6, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 81, 9756, 8669, 8, 8669, 21040, 2857, 185, 5, 483, 6, 2800, 30, 10, 6755, 12547, 6, 3459, 9590, 6, 8, 21072, 4, 96, 5, 762, 9, 230, 538, 6, 5, 2125, 5705, 25614, 2629, 5, 33215, 16739, 9, 1918, 6, 272, 6, 274, 6, 3676, 6, 8, 272, 6, 2705, 4945, 63, 33928, 8, 20425, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 69434, 69808, 55382, 51321, 52565, 51321, 52396, 51321, 50818, 70878, 51189, 51323, 51189, 51478, 51189, 52106, 51189, 52150, 51189, 51107, 51492, 51201, 51492, 51284, 51492, 51507, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51323, 50914, 51478, 50914, 52106, 50914, 51507, 58253, 52599, 51507, 61619, 70398, 55920, 50856, 52848, 51497, 50849, 66710, 51478, 53834, 58971, 70398, 54712, 51497, 50914, 51323, 50914, 51478, 61035, 50833, 61697, 67275, 70398, 55446, 51497, 51103, 51323, 51103, 51770, 51103, 50856, 50833, 52389, 58971, 70398, 53917, 51507, 58253, 52599, 51507, 61619, 70499, 54651, 50856, 55268, 50798, 58971, 52229, 52163, 79429, 52106, 50849, 52150, 57594, 50811, 50799, 51245, 51189, 51593, 51189, 51770, 51189, 51940, 51189, 51093, 51492, 51266, 51492, 51182, 51492, 51704, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51593, 50914, 52106, 50914, 51704, 58253, 52599, 51704, 61619, 70398, 55920, 51245, 50915, 51593, 62211, 52848, 50798, 58971, 70398, 54712, 51593, 51591, 51770, 51591, 51940, 51591, 50856, 50833, 68154, 67275, 70398, 50882, 53158, 50833, 52389, 58971, 70398, 53917, 51704, 58253, 52599, 51704, 61619, 70499, 54651, 50856, 55268, 51404, 50914, 51245, 50914, 51593, 56001, 58971, 52229, 52163, 75550, 50799, 51839, 51189, 51478, 51189, 52150, 51189, 51165, 51492, 51107, 51492, 51201, 51492, 52237, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51839, 50914, 51478, 50914, 51940, 50914, 52237, 58253, 51724, 52237, 61619, 52229, 55920, 50856, 53688, 51839, 50849, 79429, 52106, 50849, 53212, 51024, 54403, 51497, 51103, 51839, 51103, 51478, 51103, 52723, 51259, 50812, 64846, 67275, 52229, 51014, 53158, 50833, 51302, 54286, 65846, 51839, 51189, 51478, 51189, 52106, 51189, 52237, 58253, 53415, 52237, 61619, 52229, 55920, 50856, 54596, 51839, 50849, 79429, 52106, 53888, 54286, 54712, 51323, 51103, 51593, 51103, 51770, 51103, 51940, 51103, 52615, 51259, 50860, 64554, 51036, 77215, 51266, 51036, 51785, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51347, 51103, 51404, 51103, 51323, 51103, 51785, 58253, 51724, 51785, 61619, 52229, 55920, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 66325, 50807, 66287, 67837, 51704, 56203, 52229, 51014, 53158, 53049, 77492, 51245, 50849, 51593, 50849, 67914, 66287, 67837, 51704, 56858, 54286, 65846, 51404, 50914, 51245, 50914, 51593, 61035, 53415, 67914, 66287, 67837, 51704, 56203, 54286, 55920, 51404, 51189, 51245, 51189, 51593, 51189, 50856, 54755, 67914, 66287, 67837, 51704, 56858, 52229, 54712, 52615, 51259, 50860, 50799, 52150, 51189, 73604, 51189, 51107, 51492, 51201, 51492, 51284, 51492, 51507, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51940, 50849, 74704, 50849, 51507, 58253, 52599, 52106, 51159, 73109, 51159, 51507, 61619, 70398, 55920, 50856, 52848, 51770, 50849, 68475, 53834, 58971, 70398, 54712, 51478, 50914, 65119, 61035, 50833, 61697, 67275, 70398, 55446, 51770, 51189, 68475, 51189, 50856, 50833, 52389, 58971, 70398, 53917, 51507, 58253, 52599, 51507, 61619, 70499, 54651, 50856, 55268, 52106, 50849, 73109, 53834, 58971, 52229, 52163, 52150, 50849, 73604, 57594, 50811, 50799, 51940, 51189, 74704, 51189, 51093, 51492, 51266, 51492, 51182, 51492, 51704, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 52106, 50849, 73109, 50849, 51704, 58253, 52599, 51770, 51159, 68475, 51159, 51704, 61619, 70398, 55920, 50856, 52848, 52106, 50849, 73109, 53834, 58971, 70398, 54712, 51940, 51591, 74704, 51591, 50856, 50833, 68154, 67275, 70398, 50882, 53158, 50833, 52389, 58971, 70398, 53917, 51704, 58253, 52599, 51704, 61619, 70499, 54651, 50856, 55268, 50798, 58971, 52229, 52163, 75550, 50799, 52150, 51159, 73604, 51159, 51165, 51492, 51107, 51492, 51201, 51492, 52237, 51283, 52055, 51024, 50949, 53158, 52710, 52150, 50849, 73604, 53888, 70398, 54440, 51940, 51189, 74704, 51189, 52237, 58253, 51724, 52237, 61619, 52229, 55920, 50856, 53688, 52106, 50849, 73109, 50849, 53212, 51024, 54403, 51478, 51103, 65119, 51103, 52723, 51259, 50812, 64846, 67275, 52229, 51014, 53158, 50833, 51302, 54286, 65846, 51770, 50849, 68475, 50849, 52237, 58253, 53415, 52106, 51159, 73109, 51159, 52237, 61619, 52229, 55920, 50856, 54596, 52150, 50849, 73604, 53888, 54286, 54712, 51940, 51103, 74704, 51103, 52615, 51259, 50860, 64554, 51036, 77215, 51266, 51036, 51785, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51593, 51103, 63198, 51103, 51785, 58253, 51724, 51785, 61619, 52229, 55920, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 66325, 50807, 66287, 67837, 51704, 56203, 52229, 51014, 53158, 53049, 77492, 51245, 50849, 51593, 50849, 67914, 66287, 67837, 51704, 56858, 54286, 65846, 51404, 50914, 51245, 50914, 51593, 61035, 53415, 67914, 66287, 67837, 51704, 56203, 54286, 55920, 51404, 51189, 51245, 51189, 51593, 51189, 50856, 54755, 67914, 66287, 67837, 51704, 56858, 52229, 54712, 52615, 51259, 50860, 50799, 52150, 51189, 73604, 51189, 51107, 51492, 51201, 51492, 51284, 51492, 51507, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 51940, 50849, 74704, 50849, 51507, 58253, 52599, 52106, 51159, 73109, 51159, 51507, 61619, 70398, 55920, 50856, 52848, 51770, 50849, 68475, 53834, 58971, 70398, 54712, 51478, 50914, 65119, 61035, 50833, 61697, 67275, 70398, 55446, 51770, 51189, 68475, 51189, 50856, 50833, 52389, 58971, 70398, 53917, 51507, 58253, 52599, 51507, 61619, 70499, 54651, 52150, 51159, 73604, 51159, 50856, 55268, 50798, 58971, 52229, 52163, 75550, 50799, 51940, 51189, 74704, 51189, 51093, 51492, 51266, 51492, 51182, 51492, 51704, 51283, 52723, 51259, 50961, 53158, 50808, 52389, 58971, 70499, 54154, 52106, 50849, 73109, 50849, 51704, 58253, 52599, 51770, 51159, 68475, 51159, 51704, 61619, 70398, 55920, 50856, 52848, 52106, 50849, 73109, 53834, 58971, 70398, 54712, 51940, 51591, 74704, 51591, 50856, 50833, 68154, 67275, 70398, 50882, 53158, 50833, 52389, 58971, 70398, 53917, 51704, 58253, 52599, 51704, 61619, 70499, 54651, 50856, 55268, 50798, 58971, 52229, 52163, 51593, 50849, 63198, 57594, 50811, 50799, 52150, 51159, 73604, 51159, 51165, 51492, 51107, 51492, 51201, 51492, 52237, 51283, 52055, 51024, 50949, 53158, 52710, 52150, 50849, 73604, 53888, 70398, 54440, 51940, 50914, 74704, 50914, 52237, 58253, 51724, 52237, 61619, 52229, 55920, 52106, 51189, 73109, 51189, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 76676, 51159, 65119, 51159, 52237, 67275, 52229, 51014, 53158, 53049, 51770, 50849, 68475, 53888, 54286, 65846, 52106, 51189, 73109, 51189, 52237, 58253, 53415, 52237, 61619, 52229, 55920, 50856, 54596, 52150, 50849, 73604, 53888, 54286, 54712, 51940, 51103, 74704, 51103, 52615, 51259, 50860, 64554, 51036, 77215, 51266, 51036, 51785, 51283, 52055, 51024, 50949, 53158, 50812, 51302, 70398, 54440, 51593, 51103, 63198, 51103, 51785, 58253, 51724, 51785, 61619, 52229, 55920, 50856, 50840, 51382, 58095, 54403, 52723, 51259, 50812, 66325, 50807, 66287, 67837, 51704, 56203, 52229, 51014, 53158, 53049, 77492, 51245, 50849, 51593, 50849, 67914, 66287, 67837, 51704, 56858, 54286, 65846, 51404, 50914, 51245, 50914, 51593 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 230, 10431, 538, 6, 4246, 10, 13305, 6, 21072, 6, 8, 2236, 1021, 2678, 29, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 6, 26545, 6, 8, 11098, 6, 19, 10, 11602, 9, 1619, 4780, 4, 20, 1049, 33215, 16739, 10726, 9, 2060, 6, 274, 10431, 6, 230, 10431, 73, 717, 10431, 6, 8, 12608, 119, 406, 4, 152, 8787, 15229, 11498, 10, 5204, 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 ]

[ 57528, 50796, 55986, 53356, 50843, 55379, 50843, 54044, 50843, 50982, 57346, 51675, 50989, 51675, 51966, 51677, 51378, 51677, 55057, 54044, 50843, 51004, 50906, 53702, 51378, 52140, 55694, 51790, 50916, 51591, 51966, 51714, 55057, 55038, 50843, 51004, 51040, 51159, 50965, 77304, 51966, 50810, 57542, 51790, 50956, 51452, 51324, 51714, 50989, 51151, 55057, 57536, 51086, 51637, 57702, 51129, 70585, 50456, 51324, 51470, 55435, 51803, 51040, 51803, 51966, 51518, 50989, 52071, 55057, 54044, 50843, 51258, 51040, 50795, 50799, 55161, 52431, 52708, 52335, 50997, 51183, 51040, 51127, 51378, 51692, 51966, 51714, 55057, 56663, 54570, 52059, 50843, 51004, 50906, 62034, 51378, 51592, 50799, 55161, 51671, 52708, 52140, 51040, 51790, 50906, 51452, 50989, 51675, 51966, 51945, 55057, 54406, 51378, 68500, 53216, 51380, 50843, 51004, 50989, 78054, 56974, 51378, 50835, 50799, 61906, 52431, 54570, 51592, 50965, 51790, 50871, 51790, 51040, 51742, 51360, 52069, 55057, 55038, 55161, 51709, 50843, 51004, 51040, 59198, 61419, 53586, 51360, 51790, 50799, 61906, 51490, 53216, 51080, 51040, 51397, 50871, 51562, 50973, 51397, 55057, 54203, 55161, 51642, 54570, 51309, 51040, 52256, 57428, 57197, 61906, 51330, 53216, 62726, 51004, 51028, 51923, 51040, 50820, 50799, 55161, 53142, 52708, 52335, 52421, 52204, 52317, 52204, 53146, 52829, 53815, 52204, 53125, 52204, 54466, 52204, 51040, 51145, 50989, 51452, 51966, 51790, 50997, 51662, 55057, 57536, 51040, 52059, 57702, 51129, 50965, 51519, 50286, 70854, 51040, 50828, 50799, 55161, 51447, 52708, 51939, 52328, 51243, 54867, 51243, 51966, 51183, 50906, 51591, 51040, 51591, 55057, 57481, 61906, 52454, 50288, 51534, 50450, 54570, 51333, 52753, 62726, 51129, 51234, 51025, 51040, 51025, 50965, 51377, 50799, 55683, 51314, 52708, 51314, 52421, 51243, 52333, 51671, 53426, 51449, 53815, 51449, 52867, 51243, 53475, 51449, 51086, 51790, 51324, 51945, 50956, 51945, 50989, 52071, 55057, 55038, 61906, 51806, 53216, 51199, 52753, 51108, 50843, 51129, 51086, 51174, 50799, 55161, 52140, 52708, 51592, 52421, 51449, 52317, 51449, 53146, 51449, 53815, 51243, 53125, 51449, 54466, 51449, 51040, 51417, 50997, 51047, 50989, 51452, 51378, 51353, 55057, 55379, 51040, 53624, 50997, 51477, 57702, 51129, 50989, 51159, 50799, 52708, 51637, 52077, 51310, 53773, 51318, 52421, 51243, 52317, 51449, 53146, 51449, 52328, 51449, 53815, 51449, 53125, 51243, 54466, 51243, 54867, 51449, 50997, 51480, 51040, 51775, 50989, 51411, 51966, 52222, 55057, 54203, 52708, 51172, 52077, 51480, 53773, 51480, 51040, 63772, 61026, 51177, 50446, 51040, 54386, 50450, 52708, 51645, 52077, 51412, 53773, 51412, 50843, 51004, 50906, 52014, 50310, 52961, 51040, 53902, 52753, 50837, 55272, 50867, 52525, 59175, 52708, 56834, 52077, 50829, 53773, 50834, 50799, 52088, 51637, 52753, 51318, 52561, 51310, 52977, 51449, 53146, 51449, 52463, 51449, 54575, 51449, 54466, 51243, 55517, 51449, 50871, 51127, 51040, 51103, 50965, 51945, 51360, 52069, 55057, 55379, 52088, 51645, 52753, 51363, 52561, 51412, 71289, 53161, 50450, 52088, 51172, 52753, 51203, 52561, 51363, 50843, 51129, 50871, 67238, 52708, 50864, 51855, 50829, 53773, 65315, 52753, 56172, 52088, 50837, 52561, 50834, 50799, 53216, 51637, 52708, 51318, 52914, 51318, 52421, 51801, 52333, 51314, 53426, 52263, 53815, 52829, 52867, 51314, 53475, 51878, 50956, 51189, 51086, 51218, 50989, 51218, 51324, 51218, 55057, 55379, 54570, 51484, 52708, 51480, 52655, 51480, 52317, 51645, 53146, 51108, 53125, 51645, 54466, 52026, 50302, 52434, 50305, 51588, 50290, 64813, 55125, 55683, 51709, 52708, 51363, 52914, 51411, 52977, 51484, 52333, 51709, 54575, 52188, 52867, 51806, 50843, 51129, 51176, 51514, 50303, 66199, 51458, 50288, 51177, 50799, 55161, 51314, 52708, 51148, 52655, 51148, 52317, 51449, 53146, 51449, 53125, 51449, 54466, 51243, 51966, 51400, 50997, 51400, 51040, 51400, 50989, 51400, 55057, 51258, 50441, 50775, 50338, 52231, 50775, 50337, 55084, 50443, 50775, 50333, 54618, 50775, 50342, 54618, 50446, 50775, 50335, 51737, 50450, 50770, 50271, 50914, 50770, 50300, 66799, 51004, 50775, 50337, 51269, 50775, 50330, 53892, 50452, 50775, 50338, 50984, 50455, 50775, 50340, 72806, 50775, 50342, 65897, 50775, 50333, 51008, 50461, 52000, 51445, 51917, 51359, 50775, 50338, 50867, 50799, 65141, 51124, 52166, 50884, 56194, 51714, 52557, 52071, 52435, 51714, 51944, 52071, 51547, 52392, 50775, 50342, 51212, 50417, 50775, 50330, 51381, 50418, 51513, 54213, 53580, 51370, 50846, 51659, 59891, 50775, 50333, 50972, 50424, 55160, 50817, 51659, 50829, 50775, 50335, 53957, 50426, 52891, 72637, 54724, 54192, 51139, 50884, 50775, 50337, 54298, 50430, 56465, 51659, 53670, 52891, 50807, 64272, 50820, 50775, 50338, 54618, 50433, 50775, 50332, 51832, 50435, 50775, 50340, 54060, 50436, 55022, 54005, 50834, 51659, 51306, 50775, 50328, 50359, 50400, 50438, 65141, 51446, 51897, 58408, 51659, 53858, 52608, 51464, 60794, 51513, 53068, 51525, 54724, 53989, 78696, 51659, 50991, 51453, 56419, 52557, 51662, 51513, 58841, 65141, 50839, 52435, 51662, 50461, 52000, 51445, 51917, 51353, 50799, 65141, 50967, 52166, 50895, 51944, 51422, 56194, 51353, 51547, 51605, 50418, 51513, 64706, 50895, 51659, 60548, 55160, 50817, 52436, 50879, 51659, 52905, 51525, 54724, 53989, 51130, 63248, 52656, 52079, 50837, 51659, 80029, 52079, 50834, 51659, 51129, 50436, 55022, 50818, 52436, 54005, 50891, 51659, 52621, 65141, 51159, 52455, 66331, 52656, 50809, 51659, 68202, 66119, 52436, 51346, 51513, 53057, 56915, 50845, 51525, 55211, 54192, 51139, 50883, 52557, 51109, 52435, 51312, 51929, 51109, 51659, 55764, 53900, 52839, 50884, 51513, 56603, 51912, 51445, 51772, 51359, 50799, 55393, 51124, 52455, 50884, 58748, 51692, 52745, 51422, 52027, 51422, 51944, 51422, 51547, 51605, 50418, 53580, 50825, 51513, 53420, 53580, 50887, 52112, 51659, 60955, 57953, 50817, 51659, 52762, 52891, 77326, 55211, 53989, 51130, 63519, 56465, 51659, 53575, 52891, 52348, 52786, 58316, 55160, 50818, 52891, 72934, 50829, 51659, 57481, 55393, 50983, 52166, 58408, 51659, 53384, 52608, 55280, 50448, 51513, 53057, 51525, 55211, 53989, 78696, 58748, 51003, 52745, 50925, 51660, 50943, 51929, 51056, 51659, 59592, 55393, 54042, 50884, 52745, 74238, 51513, 57243, 52000, 51445, 51917, 51353, 50799, 65141, 50967, 51897, 50884, 56194, 51692, 52557, 51675, 52435, 51692, 51944, 51518, 51547, 51605, 51729, 66089, 51513, 54213, 53580, 51421, 50895, 51659, 59825, 55160, 50817, 51659, 52905, 52891, 63631, 54724, 53989, 51139, 63519, 52891, 56691, 50863, 51659, 52818, 52608, 50955, 65616, 50834, 51659, 78573, 55022, 50818, 52891, 53345, 50908, 51659, 52766, 65141, 51191, 52166, 50884, 51543, 51022, 50442, 52656, 50809, 52459, 50862, 51180, 50895, 51543, 60852, 52891, 50967, 52557, 55256, 51525, 54724, 53989, 51130, 50883, 56194, 51411, 51659, 59753, 55022, 51178, 52745, 50879, 52027, 51111, 51944, 51151, 51453, 50895, 51513, 61145, 52000, 51243, 51917, 51151, 50799, 65141, 51116, 52455, 50884, 56194, 52071, 52557, 52069, 52435, 51945, 51547, 51605, 50418, 51513, 54213, 53580, 51370, 50818, 51659, 61159, 55160, 50817, 51659, 52762, 52891, 50383, 55913, 54724, 65987, 63248, 65811, 51659, 53575, 52891, 50859, 64272, 59990, 55022, 50818, 53580, 54390, 50829 ]

[ 0, 250, 33928, 8, 15352, 30054, 5175, 1619, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 13305, 6, 10170, 1499, 6, 8, 38668, 11212, 4, 8504, 11, 5, 762, 9, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 7212, 20889, 9, 8017, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 211, 6, 272, 6, 163, 406, 6, 381, 6, 8, 163, 119, 406, 428, 245, 3639, 7, 63, 12298, 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 ]

[ 57333, 50796, 50446, 51553, 53057, 51224, 56399, 51326, 50820, 52534, 51189, 51869, 51417, 51280, 51417, 51232, 51413, 58385, 58642, 57900, 54018, 50835, 60849, 74171, 50841, 62594, 51536, 59740, 62506, 51350, 50828, 62594, 51536, 60161, 51118, 50942, 51089, 50810, 58128, 50890, 59858, 50825, 56770, 50855, 51350, 50841, 73376, 51536, 59761, 51089, 50917, 51020, 55640, 72437, 71519, 68957, 52922, 50837, 59800, 50800, 51350, 50839, 73376, 51536, 58331, 62506, 51350, 50841, 68540, 51536, 56802, 51092, 50833, 64344, 51020, 59979, 69741, 63132, 52466, 51750, 54274, 50837, 59449, 50952, 51350, 50839, 68540, 51536, 53219, 51069, 50889, 51232, 51189, 51708, 51189, 51280, 63732, 53518, 50825, 51350, 50839, 69660, 51536, 59954, 51070, 50863, 51350, 50828, 51355, 50828, 51536, 59673, 51118, 50959, 51089, 50854, 58128, 51014, 59858, 50837, 56770, 50940, 51350, 50841, 69660, 51536, 58560, 51089, 58332, 51023, 50925, 51092, 50910, 50903, 52941, 50837, 51350, 50841, 51355, 50828, 51536, 59096, 51070, 50835, 51350, 50828, 69660, 51536, 58323, 51023, 70485, 50812, 64344, 58385, 50880, 59858, 50825, 60849, 50855, 51350, 50841, 51355, 50828, 51536, 50839, 52288, 51191, 51708, 51241, 51198, 51241, 51144, 51241, 57655, 53235, 53518, 50835, 56737, 50808, 77309, 51355, 50818, 51630, 63672, 51070, 50835, 79533, 69660, 51630, 60161, 51282, 50866, 51083, 50977, 58128, 51010, 59858, 50835, 56770, 50809, 79533, 51355, 63629, 59824, 51061, 50977, 51023, 55640, 51185, 50942, 57716, 62809, 53544, 50837, 55845, 50833, 51262, 50828, 69660, 51630, 58854, 62506, 77309, 51355, 50828, 51630, 59076, 51185, 50833, 51061, 65670, 59979, 50927, 50874, 71519, 51573, 58140, 69627, 59800, 51362, 51262, 50828, 51355, 50828, 51630, 53219, 75649, 52040, 51218, 51198, 51218, 51099, 69281, 53622, 50837, 68540, 51780, 50846, 51630, 59117, 76089, 68540, 51780, 63629, 59673, 73702, 51401, 50878, 51595, 50933, 60702, 50825, 68540, 51780, 63629, 58560, 51083, 55620, 51019, 51110, 71264, 51208, 50925, 50903, 52922, 50837, 73376, 51780, 50828, 51630, 57297, 51070, 50825, 68540, 51780, 50846, 51630, 57461, 70943, 51020, 50812, 51208, 50833, 51083, 51420, 54018, 50835, 51250, 50839, 51780, 63629, 50828, 52534, 51191, 51869, 51413, 51280, 51417, 51232, 51417, 58385, 57642, 54018, 50825, 60849, 50830, 51350, 50828, 51250, 50818, 51536, 63672, 51070, 50825, 51350, 50828, 62594, 51536, 60161, 51118, 50878, 66525, 57655, 51508, 53622, 50835, 56737, 50812, 51350, 50841, 73376, 51536, 59824, 51089, 50937, 51020, 57499, 72437, 58128, 76132, 52922, 50837, 56770, 50800, 51350, 50841, 73376, 51536, 58331, 51070, 50825, 51350, 50841, 68540, 51536, 57398, 51092, 50854, 64344, 51020, 59662, 50964, 50854, 63132, 53236, 51539, 53518, 50837, 59449, 50924, 51350, 50828, 73376, 51536, 53219, 51069, 51191, 51232, 51218, 51708, 51218, 51280, 63732, 53518, 50837, 51350, 50828, 51355, 50828, 51536, 59117, 76089, 51350, 50828, 51355, 50839, 51536, 57854, 51118, 51008, 66525, 55873, 50894, 59858, 50835, 57406, 50808, 51350, 50841, 69660, 51536, 58560, 51089, 58460, 51023, 50925, 51092, 50897, 58385, 60910, 52941, 50837, 60849, 50924, 51350, 50828, 51355, 50841, 51536, 59096, 62506, 51350, 50841, 51355, 50828, 51536, 57461, 51023, 65448, 50812, 64344, 60702, 50837, 51350, 50828, 51355, 50839, 51536, 50841, 52288, 50849, 76011, 51119, 50865, 57655, 61712, 54018, 50825, 56737, 50865, 51262, 50806, 51355, 50893, 51630, 50806, 50418, 51070, 60916, 58385, 50882, 60849, 50800, 51250, 50880, 51536, 50808, 51350, 58741, 51019, 50808, 51099, 50809, 51232, 50862, 68878, 52641, 50945, 51100, 71726, 51144, 50879, 51061, 78860, 50812, 51208, 50813, 55873, 51014, 50903, 50381, 52663, 57406, 50830, 51195, 50865, 51262, 51030, 51780, 50940, 50430, 51070, 58803, 51250, 50918, 51780, 51336, 51195, 51077, 51262, 51356, 50434, 50953, 50918, 51198, 51077, 51144, 51336, 51083, 51358, 51061, 51358, 51208, 51675, 55873, 52512, 56089, 57900, 53518, 50870, 57406, 51472, 50438, 51070, 59144, 51070, 58394, 51070, 52763, 62506, 50452, 51531, 62603, 52393, 58122, 53137, 51666, 60135, 52183, 60228, 58841, 51908, 55971, 51691, 50829, 52534, 51189, 52939, 50867, 58053, 51184, 52075, 51469, 51555, 51307, 51232, 50865, 51099, 50948, 51153, 54070, 53518, 50829, 51350, 50839, 73376, 51536, 61686, 53700, 50876, 53700, 50968, 53700, 50415, 51871, 51036, 51567, 51353, 50418, 51070, 50825, 51350, 50841, 73376, 51536, 58235, 60702, 50825, 51350, 50828, 51250, 50839, 51536, 52905, 51232, 50805, 64227, 51153, 51100, 50903, 50380, 52663, 51350, 50841, 68540, 51536, 58854, 62506, 51350, 50841, 73376, 51536, 58608, 50964, 53351, 51539, 54018, 50837, 51350, 50828, 51250, 50839, 51536, 53219, 50953, 50889, 51153, 51111, 51232, 50795, 51099, 52090, 53622, 50825, 51350, 50828, 68540, 51536, 59954, 62506, 51350, 50841, 68540, 51536, 58275, 60702, 50825, 51350, 50828, 73376, 51536, 53035, 51133, 51162, 51232, 50967, 51099, 51167, 51153, 51095, 50903, 52922, 50837, 51350, 50828, 73376, 51536, 59617, 62506, 51350, 50828, 73376, 51536, 58323, 59858, 50837, 51350, 50839, 51250, 50839, 51536, 50841, 52288, 51191, 52939, 52151, 58053, 53174, 52089, 51692, 51567, 51486, 52075, 51585, 51494, 50879, 51119, 51158, 51153, 59407, 53518, 50835, 51659, 50828, 51355, 50818, 51536, 77997, 54830, 50876, 54830, 50968, 54830, 50418, 51070, 50825, 51659, 50841, 69660, 51536, 57466, 60702, 50829, 51659, 50839, 51355, 50828, 51536, 52870, 51494, 50795, 80064, 51153, 51158, 50903, 50381, 52663, 51659, 50841, 69660, 51536, 58854, 62506, 51659, 50828, 51355, 50841, 51536, 58608, 50927, 53590, 51750, 53518, 50837, 51659, 50841, 51355, 50828, 51536, 53116, 51069, 51141, 51494, 51173, 51119, 51060, 51153, 63388, 53622, 50825, 51659, 50828, 69660, 51536, 59117, 51070, 50863, 51659, 50839, 51355, 50841, 51536, 57854, 60702, 50837, 51659, 50841, 51355, 50841, 51536, 58501, 56084, 51237, 51567, 59731, 52089, 50943, 51584, 50943, 51494, 50795, 51119, 51060, 51153, 59899, 50380, 52663, 51659, 50841, 51355, 50841, 51536, 50839, 50989, 71233, 70361, 52254, 50454, 62506, 51659, 50841, 51355, 50828, 51536, 57461, 60702, 50835, 51659, 50841, 51355, 50839, 51536, 58660, 51783, 51127, 52288, 51191, 58053, 51090, 51567, 51267, 52075, 51013, 51494, 51100, 80064, 51489, 60665, 53518, 50829, 51659, 50841, 51355, 50828, 52395, 69348, 59189, 50876, 56557, 50968, 52254, 50418, 62506, 51659, 50828, 51355, 50828, 52395, 57466, 59858, 50829, 51659, 50841, 51355, 50841, 52395, 52905, 56084, 51167, 51567, 51486, 51494, 51100, 51119, 51060, 51489, 51100, 50903, 52922, 50837, 51659, 50841, 51355, 50828, 52395, 70934, 53700, 50430, 62506, 51659, 50839, 51355, 50828, 52395, 52925, 50902, 53700, 50433, 56033, 51977, 51612, 51591, 50434, 50927, 53590, 51464, 69627, 51659, 50839, 51355, 50828, 52395, 53219, 51069, 51218, 51489, 51100, 51494, 51111, 51119, 65249, 54018, 50835, 51659, 50841, 51355, 50841, 52395, 59954, 76089, 51659, 50828, 51355, 50839, 52395, 57854, 52939, 50857, 68878, 50825, 51659, 50841, 69660, 52395, 60954, 51871, 53639, 51489, 51110, 51494, 51095, 51119, 51215, 50903, 53544, 50837, 51659, 50841, 51355, 50841, 52395, 57143, 53242, 61481, 52368, 58869, 50837, 51659, 50828, 51355, 50828, 52395, 52738, 53105 ]

[ 0, 250, 1769, 12, 20764, 15855, 2125, 14, 115, 1807, 25, 10, 5386, 8, 9066, 19834, 13, 10, 822, 4, 31103, 5675, 22052, 6, 2342, 4467, 6, 8, 17691, 28430, 35810, 561, 7, 1045, 41, 3722, 8, 814, 12, 21330, 15229, 11, 272, 538, 6, 3185, 30, 10, 16331, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 8, 230, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 58969, 52910, 56825, 52424, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 58969, 50807, 56930, 52910, 56825, 52424, 62059, 50807, 59941, 58624, 56825, 53312, 66757, 52567, 59941, 50800, 50799, 70969, 50807, 61462, 52910, 56825, 52424, 57302, 50807, 61462, 52728, 56825, 50807, 50799, 66723, 50807, 56930, 52910, 56825, 52424, 70969, 50807, 61462, 58624, 56825, 53312, 59941, 52567, 61462, 50800, 50799, 58969, 50807, 70209, 52910, 56825, 52424, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 50695, 50296, 50807, 70209, 52910, 58969, 52424, 70121, 50807, 74356, 52728, 58969, 50807, 50799, 70121, 50807, 57195, 52910, 58969, 52424, 63276, 50807, 75618, 58624, 58185, 53312, 70209, 58839, 61462, 59107, 59941, 50809, 50799, 66723, 50807, 66757, 52910, 57302, 52424, 58185, 50807, 74356, 52728, 57302, 50807, 50799, 58969, 50807, 62059, 50807, 59941, 52910, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 58969, 50807, 56930, 52910, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 58624, 56825, 53312, 66757, 52567, 59941, 50800, 50799, 54108, 50807, 70969, 50807, 61462, 52910, 56825, 52424, 51596, 50807, 57302, 50807, 61462, 52728, 56825, 50807, 50799, 66723, 50807, 56930, 52910, 56825, 52424, 51596, 50807, 70969, 50807, 61462, 58624, 56825, 53312, 59941, 52567, 61462, 50800, 50799, 51789, 50807, 58969, 50807, 70209, 52910, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 52728, 56825, 50807, 50799, 54246, 50807, 50695, 50296, 50807, 70209, 52910, 58969, 52424, 52278, 50807, 66723, 50807, 74356, 52728, 58969, 50807, 50799, 58916, 50807, 70121, 50807, 57195, 52910, 58969, 52424, 51606, 50807, 63276, 50807, 75618, 58624, 58185, 53312, 70209, 58839, 61462, 59107, 59941, 50809, 73350, 50807, 66723, 50807, 66757, 52910, 57302, 52424, 51565, 50807, 58185, 50807, 74356, 52728, 57302, 50807, 72849, 50807, 58969, 50807, 62059, 50807, 59941, 52910, 55008, 50807, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 52728, 55008, 50807, 56825, 50807, 50799, 55008, 50807, 58969, 50807, 56930, 52910, 55008, 50807, 56825, 52424, 55008, 50807, 62059, 50807, 59941, 58624, 55008, 50807, 56825, 53312, 66757, 52567, 59941, 50800, 50799, 54108, 50807, 70969, 50807, 61462, 52910, 51596, 50807, 56825, 52424, 51596, 50807, 57302, 50807, 61462, 52728, 51596, 50807, 56825, 50807, 73350, 50807, 66723, 50807, 56930, 52910, 51596, 50807, 56825, 52424, 51596, 50807, 70969, 50807, 61462, 58624, 51596, 50807, 56825, 53312, 59941, 52567, 61462, 50800, 50799, 51789, 50807, 58969, 50807, 70209, 52910, 55008, 50795, 56825, 53182, 55008, 51646, 55008, 50807, 58969, 50807, 59941, 52728, 55008, 50807, 56825, 50807, 50799, 52278, 50807, 50695, 50296, 50807, 70209, 52910, 51565, 50795, 58969, 53182, 51565, 51646, 51565, 50807, 66723, 50807, 74356, 52728, 51565, 50807, 58969, 50807, 50799, 52155, 50807, 70121, 50807, 57195, 53561, 52714, 51631, 52714, 50795, 58969, 53182, 52714, 51646, 52714, 50795, 63276, 50807, 75618, 60865, 52714, 51798, 52714, 50795, 58185, 53312, 52714, 50795, 70209, 58839, 61462, 59107, 59941, 50809, 50799, 58699, 50807, 66723, 50807, 66757, 53561, 51565, 51631, 51565, 50795, 58699, 50807, 57302, 53182, 51565, 51646, 51565, 50795, 58185, 50807, 74356, 53218, 51565, 51798, 51565, 50795, 57302, 53312, 51565, 50795, 72849, 50807, 79586, 50795, 59941, 53561, 58969, 51631, 51752, 50807, 54246, 50918, 79586, 50795, 56825, 50918, 55045, 62715, 58969, 51646, 79586, 51918, 58969, 51798, 54108, 50795, 79586, 50795, 57302, 50795, 56591, 51923, 55008, 50795, 58969, 50795, 62059, 50795, 55045, 50795, 50799, 58699, 50807, 79586, 50795, 58185, 50807, 59522, 53561, 58969, 51631, 58699, 50807, 79586, 50795, 58185, 50807, 59522, 53182, 58969, 51646, 55008, 50807, 79586, 50795, 62059, 50807, 55045, 53218, 58969, 51798, 54108, 50807, 79586, 50795, 57302, 50807, 56591, 53312, 58969, 50795, 50799, 55008, 50807, 79586, 50795, 62059, 50807, 55045, 53561, 58969, 51631, 51565, 50918, 55008, 50807, 79586, 50795, 58091, 50918, 56930, 62715, 58969, 51646, 79586, 51918, 58969, 51798, 51606, 50795, 79586, 50795, 56591, 50795, 56801, 51923, 51789, 50795, 58969, 50795, 55045, 50795, 58091, 50795, 73350, 50807, 79586, 50795, 59522, 50807, 56591, 53561, 58969, 51631, 51596, 50807, 79586, 50795, 59522, 50807, 56591, 53182, 58969, 51646, 51789, 50807, 79586, 50795, 55045, 50807, 58091, 53218, 58969, 51798, 51606, 50807, 79586, 50795, 56591, 50807, 56801, 53312, 58969, 50795, 68449, 50807, 79586, 50807, 55045, 50807, 58091, 52910, 51789, 52424, 54246, 50795, 55045, 50795, 58091, 51918, 52714, 50795, 56591, 50795, 56801, 51798, 52278, 50795, 58091, 50795, 56930, 51923, 54246, 50795, 55045, 50795, 58091, 50795, 50799, 54108, 50807, 66723, 50807, 56825, 50807, 59522, 50807, 56591, 52910, 54108, 52424, 54246, 50807, 58969, 50807, 56825, 50807, 55045, 50807, 58091, 52728, 54246, 50807, 50799, 54108, 50807, 66723, 50807, 56825, 50807, 59522, 50807, 56591, 52910, 61331, 52424, 51789, 50795, 59941, 50795, 70209, 51918, 51606, 50795, 61462, 50795, 75618, 51798, 51565, 50795, 70209, 50795, 74356, 51923, 51789, 50795, 59941, 50795, 70209, 50795, 73350, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50807, 61462, 52910, 51596, 52424, 51789, 50807, 58969, 50807, 62059, 50807, 59941, 50807, 70209, 52728, 51789, 50807, 73350, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50807, 61462, 52910, 51596, 50795, 58699, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50807, 61462, 53182, 51596, 51646, 51789, 50807, 55008, 50807, 58969, 50807, 62059, 50807, 59941, 50807, 70209, 52728, 51789, 50807, 55008, 50807, 58969, 50807, 62059, 50807, 59941, 50807, 70209, 50807, 73350, 50807, 58699, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50795, 61462, 52115, 56930, 51631, 51596, 50795, 58699, 50795, 66723, 50807, 70969, 50807, 58185, 50807, 66757, 50795, 61462, 51736, 51596, 50795, 58699, 50795, 56930, 51646, 51789, 50807, 55008, 50807, 58969, 50807, 62059, 50807, 59941, 50795, 70209, 51918, 56930, 51798, 51789, 50807, 54246, 50807, 58969, 50807, 62059, 50807, 59941, 50795, 70209, 51923, 56930, 50795, 73350, 50807, 52278, 50807, 66723, 50807, 70969, 50807, 58185, 50807, 56930, 50807, 66757, 50807, 61462, 52910, 52182, 50807, 61331, 50807, 56825, 50807, 56591, 50807, 56930, 50807, 66757, 52424, 58185, 50807, 56591, 50807, 61462, 52728, 70969, 50807, 56930, 50807, 74356, 50807, 50799, 66723, 50807, 56825, 50807, 56930, 52910, 66723, 50807, 56825, 51736, 55846, 51646, 50695, 50298, 50807, 62514, 51918, 56825, 51798, 50695, 50296, 50807, 62059, 51923, 62514, 50795, 50799, 75458, 50795, 58185, 53561, 58185, 51631, 54108, 50918, 75458, 50795, 70209, 62715, 58185, 51646, 75458, 51918, 58185, 51798, 54246, 50795, 75458, 50795, 70209, 51923, 54108, 50795, 58185, 50795, 61462, 50795, 50799, 55008, 50807, 75458, 50795, 66295, 51036, 59941, 53561, 58185, 51631, 58916, 50807, 75458, 50795, 66757, 53182, 58185, 51646, 54108, 50807, 75458, 50795, 61462, 53218, 58185, 51798, 55008, 50807, 75458, 50795, 59941, 53312, 58185, 50795, 50799, 58699, 50807, 75458, 50795, 56930, 50807, 66757, 53561, 58185, 51631, 51565, 50918, 75458, 50795, 56930, 62715, 58185, 51646, 75458, 51918 ]

[ 0, 250, 33928, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 6, 2382, 3459, 8669, 6, 21072, 6, 3459, 9590, 6, 8, 20535, 2810, 4, 20, 33301, 16, 17627, 17274, 8, 2365, 12, 36381, 6, 7630, 14805, 10, 1472, 9, 7125, 8, 1619, 9450, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 6, 5, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 52615, 54118, 54738, 79349, 58767, 51456, 50373, 53823, 55473, 54819, 50920, 54446, 50920, 57515, 77794, 52329, 50913, 53943, 51224, 57148, 56935, 53695, 50920, 53908, 51326, 53963, 50971, 51450, 77172, 58665, 56442, 51889, 53524, 50920, 50829, 52612, 54800, 50863, 51382, 58665, 53351, 50880, 54287, 53966, 52485, 51326, 50380, 53047, 57661, 52428, 51084, 50841, 52354, 50889, 50920, 55130, 54262, 50588, 56365, 52683, 59376, 54906, 50882, 51683, 50880, 55912, 50809, 51713, 50809, 51431, 51031, 52067, 50930, 51303, 52335, 51249, 52151, 51327, 51293, 50415, 51023, 50818, 53075, 52151, 51476, 52151, 53321, 53227, 50913, 52793, 50961, 75364, 55912, 50840, 51713, 50840, 51431, 50930, 52067, 61291, 51321, 50895, 52111, 64494, 52637, 50862, 51530, 59869, 50884, 51092, 53516, 51133, 56001, 61487, 50894, 51683, 50895, 55912, 50846, 51713, 50846, 51431, 50961, 52067, 50809, 53666, 52810, 50913, 52139, 75073, 53836, 55657, 50817, 51530, 62194, 71701, 50961, 51683, 50887, 55912, 50855, 51713, 50855, 51431, 50880, 52067, 59093, 51321, 56356, 50920, 57405, 52310, 51016, 55865, 50889, 52664, 50889, 53357, 58955, 51045, 51579, 50807, 52298, 51090, 54234, 54247, 50913, 60961, 58996, 55657, 53045, 69062, 51023, 50807, 51092, 51090, 51530, 50889, 61296, 56918, 51913, 51048, 55865, 51056, 52664, 70147, 51019, 51003, 59293, 73254, 50884, 51509, 50943, 51898, 51048, 52145, 55657, 53211, 50913, 57220, 55657, 52793, 67239, 51321, 59426, 51383, 54545, 50862, 52326, 53801, 50461, 51410, 51080, 53655, 51878, 52288, 52221, 66036, 80210, 54545, 50949, 62534, 51092, 50846, 51530, 50829, 51719, 52598, 51249, 51397, 52109, 51448, 50415, 51268, 70422, 50820, 51185, 50863, 53321, 50836, 51268, 50841, 51385, 50884, 51185, 59346, 55912, 50890, 52425, 50962, 52578, 50890, 52719, 50890, 52061, 54892, 50913, 53127, 60099, 50895, 52067, 56299, 51270, 52637, 64793, 69062, 51268, 50884, 51385, 50883, 51185, 62239, 52425, 50962, 55912, 50890, 52719, 50890, 52578, 50890, 52067, 50930, 52061, 50962, 52389, 62567, 51033, 50427, 51011, 51345, 53666, 60519, 55912, 50809, 52425, 50930, 52578, 50809, 52719, 50809, 52067, 50890, 52061, 56629, 51321, 54016, 52100, 80210, 52637, 80210, 52637, 50949, 51385, 50895, 77391, 51268, 53593, 50920, 59948, 51683, 51016, 52719, 50914, 55282, 50914, 51431, 51054, 51579, 51073, 55208, 59103, 64409, 50841, 51327, 51056, 51231, 51397, 51410, 51709, 51465, 51365, 52690, 51749, 54234, 53044, 50913, 60218, 52546, 64494, 54365, 54545, 53963, 50949, 51810, 68129, 50884, 51185, 55551, 50920, 58560, 55282, 51162, 52310, 51345, 50450, 50953, 51255, 51383, 55130, 51021, 53212, 51035, 50961, 52719, 51162, 52298, 51235, 51579, 51337, 51672, 51534, 51410, 51079, 52145, 53836, 50839, 51208, 67127, 50895, 51810, 53173, 50913, 57590, 80210, 55657, 57220, 54545, 59426, 51383, 55657, 65303, 78360, 52264, 50895, 51476, 56308, 51249, 51145, 53075, 52151, 52354, 51048, 50832, 54749, 51033, 51383, 57362, 50949, 51185, 50883, 51810, 70377, 50884, 51092, 50846, 51530, 50839, 75364, 51713, 50840, 51431, 50949, 52067, 50859, 51231, 51148, 51327, 51183, 50415, 62534, 55912, 50846, 53321, 64682, 55912, 50884, 51683, 50961, 51713, 53829, 50913, 76857, 57772, 50949, 51431, 50961, 52067, 56299, 51270, 51625, 53836, 73417, 50883, 51530, 63039, 61396, 52067, 54392, 51133, 58955, 58971, 51021, 51683, 50880, 55912, 50818, 51713, 50818, 51431, 50961, 53666, 53810, 50913, 59302, 52637, 55657, 60099, 69062, 55912, 50836, 75364, 51713, 50836, 52067, 50859, 51431, 56486, 50920, 50841, 51023, 71701, 50949, 51530, 50818, 51450, 51033, 50920, 50846, 55865, 50889, 52664, 50889, 52310, 51016, 51579, 51013, 52298, 51016, 52326, 58898, 50439, 50945, 51101, 51476, 51142, 54234, 50820, 51231, 50828, 51249, 50818, 51327, 52878, 50913, 56410, 52637, 55657, 60099, 52546, 50895, 51023, 50896, 51208, 51054, 51530, 62902, 51476, 51242, 50448, 50945, 64860, 51728, 51035, 53850, 51021, 55865, 51056, 51913, 51073, 52664, 51056, 51509, 50915, 51898, 51048, 51327, 51400, 51303, 51109, 51249, 51121, 50451, 51133, 53987, 50920, 52139, 53685, 51019, 59450, 57220, 53067, 53963, 62561, 61612, 52326, 52916, 50459, 51383, 54545, 59026, 52425, 51655, 52578, 50841, 52578, 51307, 55912, 51307, 52719, 51307, 52264, 50846, 61332, 59376, 54545, 54906, 50821, 70308, 51385, 50884, 77390, 51431, 50846, 52067, 51894, 51410, 54829, 53655, 52015, 51249, 52212, 50415, 50927, 51003, 52061, 51605, 51719, 51314, 52109, 51183, 53321, 67158, 74500, 50895, 51185, 52761, 51321, 54016, 52793, 55657, 50895, 52111, 64494, 52637, 50828, 51268, 50895, 51385, 50883, 51185, 50846, 52389, 62567, 51021, 53666, 53695, 50927, 64585, 51872, 59376, 52637, 55657, 53963, 62561, 50961, 51385, 50949, 52165, 50818, 51023, 56356, 50920, 50841, 51450, 79387, 61173, 51415, 54472, 50386, 52272, 50383, 54502, 56136, 50884, 51268, 50855, 51385, 50863, 51281, 63954, 51719, 50846, 51249, 50818, 52109, 52878, 50920, 56197, 51011, 50937, 52365, 54749, 54332, 50387, 52272, 55790, 50941, 51268, 50840, 51281, 50890, 51385, 60954, 53655, 51337, 51410, 51006, 50449, 51495, 50820, 51089, 63039, 52772, 51213, 53834, 51907, 79350, 50957, 50596, 55790, 50880, 74677, 62744, 51495, 50800, 51249, 51100, 52109, 51194, 50451, 51719, 50901, 54287, 55735, 55564, 53257, 57167, 53836, 50886, 51410, 54678, 50920, 57319, 52326, 51258, 52354, 50991, 51335, 52637, 55657, 54906, 54168, 52668, 59376, 50949, 51023, 73417, 74153, 50839, 51683, 50880, 55912, 50809, 51713, 50809, 52067, 51031, 51231, 51310, 51249, 51742, 53075, 52335, 51476, 51680, 51327, 51742, 50415, 51092, 50949, 68244, 51431, 50895, 53321, 53227, 50913, 52793, 50961, 55912, 50846, 51683, 50895, 51713, 50846, 51431, 50895, 52067, 50930, 50421, 51321, 50818, 52111, 64494, 52637, 77110, 50884, 51092, 50895, 51530, 53425, 51133, 71160, 61487, 50894, 51683, 50895, 55912, 50846, 51713, 50846, 52067, 50884, 51431, 50880, 53666, 52810, 50913, 52139, 58372, 56580, 53836, 55657, 50817, 51023, 71701, 50961, 51530, 50809, 51683, 50809, 55912, 50855, 51713, 50855, 52067, 50887, 51431, 68487, 51231, 53010, 58455, 52766, 50945, 56001, 51045, 52310, 50807, 55865, 50943, 52664, 50943, 51579, 51048, 52298, 51090, 54234, 50862, 51249, 50841, 51327, 60067, 51303, 53239, 50913, 60961, 69804, 55657, 53045, 69062, 51023, 50807, 51208, 51090, 51530, 50889, 61296, 50829, 51476, 74299, 51509, 70269, 51019, 51377, 59293, 73254, 50884, 55865, 51003, 52664, 51003, 51913, 50807, 51898, 51048, 51303, 50987, 51249, 51803, 51327, 51534, 52145, 55657, 53211, 50913, 60961, 80210, 55657, 52793, 50949, 53075, 50827, 51476, 51000, 51303, 51058, 50458, 52326, 56308, 50459, 51383, 54545, 59496, 51410, 54532, 52288, 51221, 50832, 80210, 54545, 55146, 51033, 51268, 50841, 51385, 75809, 50829, 53655, 51397, 51719, 51477, 52109, 51749, 53321, 50828, 51268, 50841, 51385, 50884, 51185, 59346, 55912, 50895, 52425, 50949, 52578, 50895, 52719, 54031, 50913, 60218, 55657, 50949, 52061, 50817, 52067, 53467, 51270, 52637, 64793, 69062, 51385, 50883, 51185, 50846, 51268, 53150, 51011, 71160, 62567, 51033, 52425, 50930, 55912, 50809, 52578, 50809, 52719, 50809, 52061, 50949, 52067, 50887, 53666, 60519, 55912, 50809, 52719, 50809, 52425, 50930, 52578, 50809, 52061 ]

[ 0, 250, 15352, 30054, 5175, 11057, 2214, 4246, 13305, 6, 31391, 1672, 9590, 6, 1076, 560, 8, 579, 1517, 20426, 31365, 6673, 6909, 6, 8, 32909, 6, 2351, 10, 19448, 1619, 5466, 4, 8504, 11, 163, 538, 19, 10, 1769, 20889, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50799, 57081, 52096, 66165, 51717, 51374, 51362, 51170, 53223, 51719, 50932, 51240, 52966, 51651, 50845, 51672, 53021, 59534, 52209, 51719, 51013, 51651, 51013, 51672, 50807, 77687, 54360, 51013, 51240, 52986, 51719, 50807, 51651, 50807, 51672, 62902, 51240, 50841, 52320, 52193, 51719, 50807, 51651, 50914, 51672, 50914, 77687, 51240, 50829, 54281, 66403, 51719, 50889, 51651, 51103, 51672, 51675, 51240, 50835, 51544, 53778, 52844, 51719, 52282, 72383, 51240, 50835, 54360, 51294, 51240, 54905, 51240, 53114, 51651, 51218, 51240, 54525, 51240, 52725, 51672, 60181, 54987, 54450, 73654, 51240, 50829, 66268, 51310, 51672, 50983, 51910, 69613, 53589, 53223, 51240, 52966, 51249, 50845, 52109, 50845, 51236, 52209, 51672, 51218, 51980, 51218, 51910, 73841, 52565, 51240, 52986, 52109, 50974, 51825, 65586, 51240, 53083, 51980, 51477, 51981, 51218, 51910, 73841, 53685, 51240, 50829, 50799, 51825, 51058, 52287, 70589, 53927, 51115, 51981, 51218, 51910, 73841, 53317, 52712, 51236, 52844, 55386, 51058, 52287, 51058, 51240, 52621, 53927, 50889, 56822, 50943, 51910, 51060, 52404, 51082, 54905, 51240, 53114, 51240, 54525, 51240, 52725, 53927, 51109, 56822, 51159, 51910, 51235, 52404, 51082, 54450, 51240, 50829, 50799, 57081, 52096, 66165, 51717, 51374, 51362, 51170, 53223, 51719, 50932, 51240, 52966, 51651, 50845, 51672, 53021, 62131, 52209, 51719, 51013, 51651, 51013, 51672, 50807, 77687, 54360, 51013, 51240, 52986, 51719, 50807, 51651, 50807, 51672, 62902, 51240, 50841, 52320, 55891, 51719, 50807, 51651, 50914, 51672, 50914, 77687, 51240, 50829, 54281, 66403, 51719, 50889, 51651, 51103, 51672, 51675, 51240, 50835, 51544, 59534, 52844, 51719, 52282, 72383, 51240, 50835, 54360, 51294, 51240, 54905, 51240, 53114, 51651, 51218, 51240, 54525, 51240, 52725, 51672, 60181, 60457, 54450, 73654, 51240, 50829, 66268, 51310, 51672, 50983, 51910, 69613, 53589, 53223, 51240, 52966, 51249, 50845, 52109, 50845, 51236, 52209, 51672, 51218, 51980, 51218, 51910, 73841, 52565, 51240, 52986, 52109, 50974, 51825, 65586, 51240, 53083, 51980, 51477, 51981, 51218, 51910, 73841, 53685, 51240, 50829, 50799, 51825, 51058, 52287, 70589, 53927, 51115, 51981, 51218, 51910, 73841, 53317, 52712, 51236, 52844, 55386, 51058, 52287, 51058, 51240, 52621, 53927, 50889, 56822, 50943, 51910, 51060, 52404, 51082, 54905, 51240, 53114, 51240, 54525, 51240, 52725, 53927, 51109, 56822, 51159, 51910, 51235, 52404, 51082, 54450, 51240, 50829, 78937, 51806, 51651, 51199, 51672, 51709, 51687, 52056, 51374, 69613, 53829, 51240, 52905, 51719, 51318, 51687, 51283, 51651, 52136, 51672, 51477, 50791, 59534, 52927, 51374, 50859, 53771, 51650, 54877, 50828, 54360, 69613, 59901, 53771, 51056, 50444, 51687, 51108, 51719, 51108, 51651, 51108, 51672, 51097, 51170, 53068, 53771, 54042, 52193, 51719, 51477, 51672, 51310, 51980, 51477, 51374, 53841, 56455, 57077, 55602, 51221, 56682, 73841, 53829, 51240, 59043, 55602, 63963, 51719, 51166, 51672, 51074, 51980, 62621, 53778, 52209, 51672, 51115, 51719, 51477, 51980, 51318, 51349, 50952, 52095, 51087, 61251, 53777, 51095, 54585, 73841, 58500, 55343, 51110, 50447, 51240, 53068, 51719, 51074, 51672, 51074, 51980, 62621, 52193, 51672, 51115, 51980, 51803, 51719, 51803, 51349, 50952, 52095, 51082, 57430, 56213, 51353, 55609, 73841, 53829, 51240, 52870, 51672, 71782, 59534, 52209, 51602, 50910, 52095, 51087, 53018, 51719, 51244, 51672, 50845, 51980, 51244, 51602, 73841, 53589, 53114, 51672, 51115, 51240, 50829, 52320, 53778, 53685, 78489, 52095, 51087, 50825, 66513, 50822, 51414, 50874, 51457, 50874, 51957, 51362, 52404, 51087, 52944, 51303, 50981, 51414, 50995, 51457, 50981, 51240, 50839, 51544, 53778, 52209, 51303, 51079, 51414, 51079, 51457, 51079, 51825, 50972, 52458, 60855, 53735, 53219, 51303, 50995, 51414, 50915, 51457, 50915, 51825, 51397, 52458, 69613, 53589, 52875, 51170, 52763, 51303, 51203, 51414, 51203, 51457, 63238, 55717, 52738, 52458, 53558, 54782, 50835, 67718, 51318, 51249, 51115, 52109, 51318, 51640, 73841, 53829, 51240, 50829, 51544, 59534, 52209, 51465, 50981, 51249, 50915, 52109, 50995, 54423, 50808, 53771, 50865, 52006, 51087, 50884, 51272, 50298, 51091, 53771, 50805, 52404, 51087, 52878, 51465, 51318, 51249, 51115, 52109, 51310, 50446, 53771, 51221, 50447, 51240, 50839, 52320, 52193, 51640, 50921, 54985, 50991, 53080, 51082, 50818, 55984, 73503, 53829, 52571, 52441, 54985, 50967, 51240, 52992, 52102, 56975, 53778, 52927, 51719, 50866, 52102, 50827, 51465, 50959, 51249, 50942, 51672, 50905, 51910, 50808, 56853, 50967, 51170, 54390, 50828, 58711, 73841, 53589, 53041, 51719, 51310, 51249, 51115, 51672, 51218, 52571, 51318, 51465, 51477, 53771, 54276, 55602, 77392, 54987, 53017, 51857, 50952, 52095, 51082, 50839, 50799, 57081, 51449, 51374, 62695, 57829, 66165, 75272, 56853, 50371, 51613, 57240, 55602, 60417, 53771, 51790, 51544, 59534, 57286, 51465, 64809, 51672, 50974, 72383, 51170, 55401, 58414, 51651, 53418, 51672, 51047, 51719, 51627, 51374, 73841, 53589, 52986, 51465, 66260, 52772, 51465, 61098, 53778, 52881, 52102, 50977, 72383, 51170, 54109, 50828, 50799, 55349, 52195, 51640, 73841, 57829, 51170, 55265, 51170, 61792, 51236, 52302, 51456, 57404, 51465, 51290, 55057, 52265, 52571, 50840, 51640, 52218, 76494, 53439, 52102, 53891, 51465, 50938, 57081, 51677, 51857, 62695, 63209, 60372, 51465, 51896, 57702, 62240, 53173, 51910, 50830, 52095, 52388, 55971, 52402, 51748, 52255, 51671, 52187, 51449, 78937, 51806, 51651, 51199, 51672, 51709, 51687, 52056, 51374, 51362, 75060, 52944, 51240, 51187, 52966, 51719, 51318, 51687, 51283, 51651, 52136, 51672, 51477, 51236, 61295, 51239, 52927, 51374, 50859, 53771, 51650, 51239, 55176, 50828, 54360, 51362, 52455, 57972, 53771, 55700, 51687, 51108, 51719, 51108, 51651, 51108, 51672, 51097, 65747, 57854, 53771, 51060, 51955, 51187, 54450, 51719, 51477, 51672, 51310, 51980, 51477, 51374, 53841, 51406, 56113, 57077, 55602, 50991, 50461, 52332, 51801, 52187, 51801, 52340, 51801, 56682, 51294, 52455, 64956, 56506, 59043, 55602, 64131, 51719, 51166, 51672, 51074, 51980, 51166, 57653, 55767, 52209, 51672, 51115, 51719, 51477, 51980, 51318, 51349, 50952, 53777, 51095, 53026, 55176, 50884, 54585, 51294, 52120, 52986, 55343, 51178, 57653, 56368, 60479, 51170, 52763, 51719, 51074, 51672, 51074, 51980, 51166, 52574, 51082, 55223, 51170, 52920, 51672, 51115, 51980, 51803, 51719, 51803, 51349, 50952, 52095, 51082, 51239, 62662, 56213, 51714, 51170, 50839, 55609, 51294, 52455, 62456, 56368, 52870, 51672, 51097, 50903, 56494, 51044, 53230, 51602, 50910, 53026, 57744, 53018, 51719, 51244, 51672, 50845, 51980, 51244, 51602, 51294, 61115, 56088, 55144, 53114, 51672, 51115, 51895, 51082, 50829, 51955, 51187, 58264, 53685, 78489, 53026, 56113, 56834, 51743, 51449, 51863, 51449, 51838, 51445, 66513, 51449, 51414, 50972, 51457, 50838, 51957, 51362, 52455, 54877, 52944, 51414, 52222, 51457, 51097, 51825, 50932, 51240, 51467, 50870, 51768, 56494, 51044, 53644, 51825, 50981, 52932, 50915, 51457, 51803, 52458, 50859, 79661, 53735, 50828, 62083, 51362, 65986, 53589, 54656, 51170, 53114, 52932, 51318, 54310, 51318, 51825, 51419, 52352, 51502, 54763, 54368, 51170, 50839, 52320, 56152, 56883, 51170, 54450, 52458, 51575, 55401, 55202 ]

[ 0, 250, 15855, 8, 13134, 12, 13028, 2214, 14, 7630, 6568, 10, 1472, 9, 9733, 8, 1619, 9450, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 26432, 636, 3938, 22052, 6, 15054, 17838, 6, 8, 2342, 4467, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 20902, 8, 32076, 5466, 4, 20, 15229, 22848, 10, 33215, 16739, 9, 211, 6, 272, 73, 495, 6, 211, 406, 6, 272, 73, 495, 6, 8, 381, 406, 6, 1271, 7, 63, 6878, 8, 17627, 17274, 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 ]

[ 58402, 61628, 58891, 79279, 51031, 50876, 50962, 51150, 50936, 51093, 50962, 55008, 53530, 54212, 54726, 58976, 51214, 50811, 50973, 52640, 50306, 70215, 54151, 51098, 50854, 75114, 54108, 53946, 50908, 53924, 50928, 52594, 58286, 50861, 66894, 50809, 52206, 58891, 50828, 54246, 54172, 52742, 50906, 50834, 51150, 50921, 51266, 55461, 54212, 57583, 50973, 53819, 50311, 67536, 52236, 50287, 50811, 79638, 52714, 54166, 51389, 54047, 50908, 54124, 50928, 52198, 56772, 52206, 75892, 50961, 50876, 52717, 50320, 50950, 51182, 53988, 50825, 69899, 50921, 52278, 53309, 54499, 59346, 51266, 50809, 54246, 54507, 50804, 60463, 51201, 70576, 51214, 50811, 50973, 75892, 50961, 50902, 51010, 51098, 50924, 52714, 53548, 60269, 60443, 51107, 62941, 54108, 53695, 50804, 59051, 52206, 50811, 51150, 50936, 51093, 50890, 55008, 61169, 50861, 79027, 52717, 50308, 50962, 51658, 54499, 59753, 51247, 50976, 52355, 51111, 50455, 50877, 72712, 53318, 50316, 50802, 51793, 50923, 51284, 51505, 50456, 51113, 54371, 50908, 54124, 50928, 52198, 56772, 51841, 58676, 50810, 72370, 51984, 50882, 77470, 77584, 52278, 53497, 50864, 54594, 53287, 52572, 56657, 51154, 51158, 52714, 61120, 50877, 61818, 72712, 50860, 51201, 57432, 50908, 53924, 50928, 52594, 58286, 50804, 52742, 50876, 50950, 70433, 50861, 50882, 72268, 54246, 53097, 54212, 55698, 51266, 75336, 51113, 52485, 51279, 50802, 51216, 51286, 51883, 51033, 52355, 53497, 50908, 54124, 50928, 52198, 56772, 51214, 50962, 51088, 53988, 50825, 53458, 50833, 51699, 50887, 52278, 53933, 52572, 59346, 51247, 50962, 66441, 52714, 52871, 51140, 50808, 51887, 56106, 58990, 51841, 50962, 51493, 50809, 51301, 50887, 52830, 50836, 54246, 53425, 66502, 59278, 51799, 50811, 51273, 50890, 51251, 50890, 52371, 50890, 54108, 53911, 50804, 57413, 52206, 50803, 51461, 50882, 52143, 50962, 51299, 50894, 55008, 50809, 51658, 54499, 61082, 52206, 63816, 66698, 61881, 79297, 51461, 50823, 51093, 50803, 52143, 50823, 51304, 50803, 51299, 50823, 55008, 54721, 62936, 53708, 57916, 50843, 50870, 51038, 50431, 53250, 51073, 53997, 51158, 51093, 50890, 52182, 51445, 52278, 51353, 50801, 56260, 51150, 51177, 61090, 63094, 51357, 52628, 50861, 69856, 61547, 50836, 65696, 50846, 56213, 52467, 58964, 53250, 50809, 51093, 54392, 51214, 50849, 51098, 51178, 61090, 53971, 56657, 56213, 50809, 51357, 52359, 50861, 50809, 60437, 50916, 50855, 65696, 54212, 57413, 53250, 53574, 51085, 50795, 51150, 51121, 61090, 50828, 51093, 54405, 60371, 64008, 50846, 53077, 50846, 51107, 55489, 56143, 50916, 59244, 52467, 57723, 76401, 50841, 53771, 50836, 51266, 54208, 51214, 50873, 51098, 73908, 61250, 53250, 50887, 51093, 53875, 56143, 50861, 75509, 50836, 61090, 54617, 57995, 53863, 51290, 51182, 51221, 58066, 50873, 51389, 50967, 68198, 50840, 52278, 51312, 50801, 63094, 50973, 69584, 62379, 54507, 50804, 58964, 51214, 51121, 52714, 58326, 51098, 51121, 78415, 50809, 53407, 51048, 51201, 73442, 52417, 50973, 69584, 60365, 54345, 57413, 51668, 51167, 76401, 50828, 51266, 51380, 54246, 57937, 51324, 50795, 53771, 76016, 53044, 50973, 57722, 66675, 54742, 57723, 53077, 51158, 51107, 51363, 54108, 59124, 51214, 51121, 51098, 50805, 64008, 53704, 53268, 50973, 74336, 62221, 54472, 57995, 51324, 50879, 53077, 51158, 52278, 51313, 50799, 64008, 50818, 51107, 50818, 52182, 54249, 50801, 56260, 51668, 51286, 50419, 66627, 50818, 55343, 54878, 50973, 64587, 68370, 50857, 51488, 54472, 58964, 53077, 53950, 51214, 51110, 51098, 51178, 64008, 50841, 51107, 53243, 56657, 55343, 50855, 51488, 52359, 50973, 69584, 62379, 50809, 66627, 54212, 57413, 51668, 51286, 53077, 50840, 51107, 53813, 51324, 50879, 64008, 53704, 60371, 55343, 50840, 51266, 54247, 50973, 69584, 62379, 50840, 76401, 54212, 57723, 51098, 51100, 78415, 50828, 53077, 50840, 51201, 54208, 51214, 54754, 61250, 50973, 66477, 62465, 50809, 53077, 50855, 51107, 54583, 64008, 55018, 57995, 51085, 51158, 51150, 51100, 50659, 50349, 50855, 54985, 51112, 51284, 51346, 50799, 52355, 67294, 53223, 50861, 69245, 62141, 54472, 58964, 51214, 51121, 51098, 51178, 53863, 50807, 51182, 51400, 52278, 55382, 68198, 54005, 56657, 50916, 60924, 63835, 53810, 50804, 57413, 78415, 50818, 51201, 51267, 52714, 57937, 51085, 51173, 51150, 51100, 53407, 51566, 50801, 53044, 50876, 69856, 61368, 53988, 59361, 54246, 51253, 50449, 51098, 51100, 53771, 51158, 51266, 51255, 50450, 51214, 51060, 76401, 54285, 53268, 50876, 69856, 61368, 52467, 50908, 54124, 50928, 52198, 50891, 56483, 50825, 54594, 50840, 56770, 52069, 53771, 50830, 51301, 50836, 65182, 54764, 50862, 61331, 50987, 58947, 61798, 53863, 50923, 50419, 59613, 51161, 51093, 50809, 52278, 51008, 58060, 50840, 51182, 50962, 52876, 53309, 54212, 58854, 53771, 66084, 51266, 50818, 65269, 52202, 53705, 50877, 50840, 54764, 50834, 52714, 78778, 53863, 51354, 50437, 51182, 50887, 51752, 50867, 52876, 50813, 54246, 58946, 50876, 50836, 51093, 58344, 53407, 50921, 50443, 79638, 51113, 50836, 51596, 50904, 53143, 50857, 54108, 53103, 50877, 61230, 51266, 50930, 51088, 50890, 51789, 50810, 54764, 50820, 55008, 50955, 56222, 50809, 53771, 76694, 56531, 50813, 55008, 50937, 55524, 50857, 57312, 51359, 53771, 50806, 51301, 50840, 51093, 64941, 53410, 50834, 52278, 50878, 55902, 50809, 59449, 51714, 53771, 50803, 51266, 50809, 51088, 62941, 53407, 56087, 50989, 50809, 51093, 50962, 51491, 50880, 53320, 50854, 56531, 50813, 54219, 61360, 53771, 54993, 50861, 50809, 51266, 50890, 51088, 50887, 52155, 50959, 53410, 50813, 52278, 70627, 50965, 50887, 53077, 50859, 52202, 50867, 61405, 50890, 52926, 53524, 51107, 50962, 51375, 63154, 50877, 50890, 53250, 50800, 51093, 50962, 51113, 50821, 56531, 50809, 52355, 52848, 51752, 72070, 59173, 50822, 51883, 51145, 50461, 53250, 50893, 55547, 50905, 51216, 51121, 55845, 50858, 52155, 52212, 58916, 73138, 63094, 53250, 52244, 50989, 66675, 63100, 54597, 59136, 53077, 55447, 51120, 51101, 51389, 70401, 56839, 53250, 64123, 50877, 65037, 53998, 50899, 55651, 57413, 51279, 51212, 56213, 56810, 51216, 50901, 57406, 50874, 51251, 51145, 51596, 51703, 54108, 65345, 57927, 59800, 70081, 50989, 50886, 54812, 52711, 50899, 62821, 53352, 57723, 51120, 50866, 51389, 51121, 56213, 57322, 50801, 61250, 50899, 71414, 62391, 50855, 53250, 54424, 50804, 57950, 53077, 51241, 50461, 51214, 50833, 51086, 68370, 50836, 51098, 50937, 52065, 50878, 52202, 54373, 58699, 50874, 54594, 52773, 59761, 50899, 50803, 51251, 54856, 54108, 52467, 79499, 54804, 50429, 50916, 50971, 51301, 55924, 51004, 50430, 74372, 51251, 50844, 54108, 50955, 50431, 50804, 63256, 54804, 50433, 50900, 50978, 51299, 61782, 55008, 62788, 51129, 52594, 74896, 51086, 50962, 52065, 50930, 58699, 53988, 51004, 53550, 78565, 50804, 50982, 53012, 50928, 62177, 53858, 50804, 50908, 53526, 50891, 52612, 60145, 51026, 50811, 51098, 50924, 52776, 50962, 51699, 50803, 52278, 53259, 50804, 53003, 52799, 50934, 50829, 53997, 51158, 53250, 51173, 51093, 54020, 56260, 51150, 51177, 61090, 63094, 56213, 50840, 51357, 52628, 50861, 69856, 61547, 50836, 65696, 54499, 58964, 51093, 54392, 51214, 50849, 51098, 51178, 61090, 50841, 53250, 60777, 56657, 56213, 50808, 51357, 52359, 50861, 50809, 60437, 50916, 50855, 65696, 54212 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 13305, 6, 21979, 8669, 6, 21072, 6, 6755, 12547, 6, 8, 38668, 2236, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 272, 119, 1176, 406, 6, 12608, 6, 8, 2060, 119, 1176, 406, 3639, 7, 63, 17627, 17274, 2365, 8, 1619, 16464, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 53927, 51894, 53171, 51991, 51981, 51894, 70899, 51076, 51210, 51032, 51058, 51149, 51177, 53080, 51152, 57112, 58033, 57666, 51818, 51714, 51150, 51573, 50419, 50909, 53010, 66817, 52680, 55406, 58990, 50847, 52034, 50426, 76084, 51076, 51199, 50998, 51109, 51065, 56671, 53740, 52925, 51150, 50890, 51149, 51310, 50801, 57112, 58729, 61796, 50839, 51658, 56725, 57840, 65004, 51150, 51454, 50444, 51076, 51210, 51032, 50959, 50998, 51051, 51068, 52755, 55406, 59892, 50909, 51753, 50450, 51065, 57532, 54018, 57143, 76063, 50456, 51150, 53287, 57112, 57808, 59667, 57077, 51067, 62431, 50892, 50799, 51457, 50834, 51140, 51090, 50847, 51128, 51257, 51377, 66231, 55731, 55987, 58452, 53420, 67395, 50929, 79042, 52532, 58033, 58592, 69236, 50847, 69790, 50909, 69872, 59677, 53730, 52667, 51140, 70326, 51679, 50929, 51381, 50986, 51961, 51257, 67839, 57112, 58016, 59750, 53115, 51140, 67812, 57112, 65233, 53027, 78656, 51068, 52703, 58033, 53083, 59995, 51065, 55139, 59677, 53246, 52881, 51140, 50940, 51067, 65245, 57112, 56128, 59127, 58908, 51149, 50971, 51257, 50971, 50799, 53171, 51486, 53927, 51422, 51150, 51090, 51149, 77602, 55731, 58033, 55376, 51818, 51692, 50420, 50847, 51645, 50913, 55406, 52712, 51032, 51058, 51076, 51254, 50909, 63320, 59677, 53332, 56344, 50998, 54150, 51150, 50890, 51149, 59250, 57112, 58729, 58033, 58685, 50998, 55666, 51150, 51090, 50998, 59874, 56725, 57113, 58495, 63938, 50847, 51679, 50444, 51032, 50955, 51076, 51210, 50998, 51008, 51068, 59003, 52532, 55406, 57723, 50909, 66809, 51065, 57532, 53622, 58014, 51149, 59960, 51150, 50940, 66860, 50929, 50943, 52234, 51202, 56128, 59127, 62662, 66860, 50461, 51257, 51400, 61323, 51212, 51327, 51101, 51231, 51212, 51140, 51016, 52095, 51202, 57975, 54213, 50929, 58178, 52151, 51068, 59376, 52300, 61796, 57404, 50970, 50837, 50986, 52872, 77558, 50903, 52493, 55326, 56671, 53740, 56344, 50986, 61193, 51257, 51675, 50432, 51140, 50890, 64387, 50986, 68108, 59281, 55051, 56851, 58729, 61796, 56802, 50986, 54498, 51140, 51238, 52095, 51202, 57840, 53384, 50903, 55304, 52703, 55406, 59892, 64162, 50970, 51051, 69236, 52612, 53595, 51140, 51227, 51068, 54404, 57532, 54018, 54859, 51068, 54210, 50801, 54563, 57505, 57808, 59667, 57077, 50970, 51051, 78777, 60287, 50799, 51672, 51151, 51327, 51353, 51476, 51293, 51150, 51362, 50986, 52011, 51032, 51254, 50998, 51824, 51076, 52192, 50801, 53816, 62142, 50870, 52399, 52543, 52670, 71664, 50998, 51333, 51076, 52011, 50903, 53816, 53622, 60741, 51150, 52559, 51207, 52136, 50801, 53816, 62142, 52958, 51098, 51362, 65043, 56866, 50909, 76623, 50998, 51376, 51032, 51008, 51076, 51862, 50903, 53434, 52532, 59843, 50935, 58369, 50847, 51277, 50843, 62142, 54435, 59842, 51032, 51283, 50456, 51098, 50887, 50998, 52519, 51076, 53280, 50986, 52519, 50909, 51419, 50801, 69183, 50799, 51672, 51675, 51818, 51675, 51327, 51452, 51150, 61986, 59281, 53816, 53576, 50935, 52056, 50843, 52373, 58015, 52872, 50843, 53622, 52818, 51150, 50924, 51207, 52519, 51032, 50933, 50998, 51210, 51076, 51862, 50847, 52140, 50801, 59281, 53944, 53219, 51098, 53287, 53833, 62142, 53384, 51981, 50800, 51818, 50862, 51327, 50854, 51672, 50812, 51150, 50858, 50998, 50932, 51076, 51330, 51032, 57604, 55630, 52535, 58015, 67394, 53927, 50867, 52612, 50828, 51955, 56396, 53816, 71239, 53246, 53137, 51981, 50977, 51818, 50937, 51327, 71922, 50890, 50986, 51470, 50801, 53816, 54563, 59044, 51672, 50937, 56451, 51294, 51846, 51333, 51169, 51006, 50986, 51376, 50929, 51824, 50801, 57434, 50870, 52399, 52543, 52670, 51169, 50932, 50986, 51333, 50929, 51333, 50903, 53816, 52922, 52818, 51522, 50840, 52562, 52167, 50801, 53816, 62497, 53115, 51930, 51016, 52562, 51333, 69594, 65043, 52616, 50992, 51166, 50903, 53434, 52502, 59843, 50986, 52731, 51169, 51470, 50929, 52731, 50450, 50872, 51477, 50843, 57434, 53740, 53137, 53001, 51151, 51930, 50948, 51846, 52136, 50986, 51965, 51169, 51318, 50929, 52136, 50939, 58307, 53816, 50820, 56451, 65221, 59281, 53816, 52432, 51981, 52069, 50992, 56395, 52543, 58015, 53356, 50843, 53518, 60741, 50986, 51524, 50929, 51862, 50432, 51522, 50940, 51169, 51051, 52562, 51824, 50992, 51790, 50801, 59281, 55691, 55147, 54726, 74069, 58803, 56822, 52783, 57385, 50910, 52562, 52011, 65043, 68256, 63938, 50986, 68288, 51930, 50948, 50929, 51466, 51169, 50995, 50843, 52532, 58015, 62849, 51522, 50897, 51955, 56396, 54640, 66624, 54561, 59842, 51930, 54896, 52562, 52192, 50801, 56564, 54563, 50835, 61323, 51151, 52102, 51353, 56397, 51293, 51868, 51294, 53805, 52011, 51317, 51254, 51504, 51824, 50986, 52192, 50801, 53816, 62142, 50870, 52399, 52543, 52670, 51317, 50995, 51504, 51333, 50986, 52011, 50903, 53816, 53622, 52818, 51868, 50830, 51846, 52136, 50801, 53816, 62142, 52958, 51522, 51016, 50939, 51221, 65043, 53041, 51504, 51376, 51317, 51008, 50986, 51862, 50992, 51481, 50903, 53434, 52532, 58510, 50872, 54323, 50843, 62142, 54435, 59842, 51317, 51283, 50456, 51522, 50890, 51504, 52519, 50986, 53280, 53805, 52519, 50939, 51662, 50801, 69183, 61323, 51675, 51303, 51675, 52102, 51452, 51868, 67812, 59281, 53816, 50846, 52399, 52373, 58015, 52872, 50843, 53622, 52818, 51868, 50948, 51846, 52519, 51317, 50933, 51504, 51210, 50986, 51862, 50801, 59281, 53944, 53219, 51522, 53841, 53833, 62142, 53384, 51651, 50800, 51303, 50862, 52102, 50854, 51476, 50812, 51868, 50930, 51504, 51006, 50986, 51254, 51317, 50987, 50992, 51363, 50804, 55630, 52535, 58015, 67394, 51327, 50867, 52612, 50828, 51955, 53434, 71239, 53246, 53137, 51868, 51030, 51504, 73819, 51145, 50992, 78811, 53816, 50839, 60294, 50829, 51389, 51204, 51444, 51333, 72203, 50970, 51376, 51311, 51824, 50801, 57434, 50870, 52399, 52543, 52670, 50960, 50932, 51311, 51333, 50970, 51333, 50903, 53816, 52922, 52818, 51389, 50840, 51846, 52167, 50801, 53816, 62497, 53115, 51389, 51013, 51846, 51333, 65043, 52616, 74649, 70531, 50903, 53434, 52502, 59843, 50960, 51470, 50970, 52731, 51311, 52731, 57702, 57434, 53740, 59699, 50992, 51242, 50455, 51389, 50865, 50872, 63234, 51457, 50820, 51444, 50870, 50970, 50863, 68021, 51311, 55170, 53816, 50820, 53458, 67949, 51243, 50847, 51313, 50801, 59281, 53816, 52432, 51825, 65316, 52543, 58015, 53356, 67806, 50970, 51380, 51207, 51109, 50903, 52493, 55326, 56671, 53740, 52925, 51098, 53841, 59281, 55051, 56851, 58729, 61796, 52950, 51140, 51541, 52095, 51202, 57840, 53384, 50970, 51210, 50929, 50959, 51311, 51051, 50903, 55304, 52703, 55406, 50891, 52612, 53595, 51068, 54404, 57532, 54018, 54859, 51068, 54210, 51140, 50865, 76979, 78705, 50929, 55675, 54563, 57505, 57808, 59667, 50825, 50799, 51672, 51151, 51327, 51353, 51476, 51293, 51150, 51362, 50986, 52011, 51032, 51254, 50998, 51824, 51076, 52192, 50801, 53816, 62142, 50870, 52399, 52543, 52670, 71664, 50998, 51333, 51076, 52011, 50903, 53816, 53622, 60741, 51150, 52559, 51207, 52136, 50801, 53816, 62142, 52958, 73709, 50909, 51255, 65043, 53041, 50998, 51376, 51032, 51008, 51076, 51862, 50935, 51642, 50903, 53434, 52532, 52763, 50847, 61724, 62142, 54435, 59842, 51032, 51283, 50456, 51098, 50858, 50998, 52519, 51076, 53280, 50986, 52519, 50909, 51391, 50801, 69183, 50799, 51672, 51675 ]

[ 0, 250, 15352, 30054, 5175, 2214, 11, 272, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 3459, 9590, 6, 36075, 8669, 6, 38668, 22052, 6, 8, 38668, 11212, 6, 2351, 10, 11739, 9, 2933, 8, 5679, 26709, 43118, 29492, 19, 10, 11602, 9, 11098, 4, 20, 2125, 26658, 23, 41, 178, 5285, 20889, 11, 41, 18186, 262, 73, 398, 86, 6543, 6, 19, 10, 2007, 46336, 3184, 36830, 227, 211, 8, 230, 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 ]

[ 57211, 50456, 55479, 51300, 53388, 52937, 52239, 50803, 50799, 53388, 54024, 52269, 52244, 52239, 52801, 52449, 51973, 52239, 53300, 55497, 51300, 52269, 52119, 52248, 52674, 52269, 52057, 52889, 53609, 52248, 52284, 53139, 52911, 52248, 52116, 55479, 51300, 53388, 53532, 52239, 52163, 53388, 52937, 52269, 50803, 50799, 52239, 54024, 52449, 52244, 52239, 52801, 55497, 51300, 52269, 51973, 52248, 53300, 52269, 52119, 52889, 52674, 52248, 52057, 53139, 53609, 52248, 52284, 55479, 51300, 53388, 52911, 52239, 52116, 53388, 53532, 52269, 52163, 52239, 52937, 52449, 50803, 50799, 52239, 54024, 55497, 51300, 52269, 52244, 52248, 52801, 52269, 51973, 52889, 53300, 52248, 52119, 53139, 52674, 52248, 52057, 58312, 51009, 53388, 53609, 52239, 52284, 53022, 52911, 52269, 52116, 53022, 53532, 53388, 52163, 53022, 52937, 52239, 50803, 50799, 56163, 51009, 52269, 50803, 51817, 59714, 58197, 51553, 54024, 52239, 78537, 59714, 52244, 53022, 74082, 59714, 52801, 52239, 50803, 51415, 59714, 51973, 53022, 75159, 61411, 53300, 52822, 50803, 50953, 61411, 52119, 53022, 69583, 61411, 52674, 52822, 69583, 61411, 52057, 54999, 51300, 53381, 50803, 62644, 53964, 69826, 59177, 53056, 56119, 52706, 52001, 52284, 53381, 52001, 52911, 52239, 50803, 51622, 52001, 52116, 52706, 75159, 50993, 54282, 52409, 52010, 50453, 52248, 50803, 51634, 50803, 54282, 52001, 52163, 52706, 50803, 54282, 52001, 52937, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 51599, 61903, 50799, 53022, 52001, 54024, 52239, 50803, 60264, 51634, 50823, 52577, 69834, 52244, 52269, 50803, 58461, 51622, 74562, 51599, 52001, 52801, 53022, 52001, 51973, 52449, 50803, 57416, 51622, 74562, 52677, 51858, 53300, 53022, 52119, 54999, 51300, 53381, 50803, 62644, 53964, 50975, 52092, 51599, 52001, 52674, 52706, 52001, 57880, 52092, 52125, 53381, 52001, 53609, 52239, 50803, 51622, 52001, 60295, 52092, 52313, 52706, 75159, 64322, 52010, 50447, 52248, 50803, 51634, 50803, 54282, 53025, 52116, 52706, 52001, 53532, 56163, 51300, 52239, 50803, 56372, 69756, 54282, 51599, 52001, 52163, 53022, 52001, 52937, 52239, 50803, 57951, 51634, 50803, 52930, 51599, 61903, 50799, 52269, 50803, 58461, 51211, 50811, 52577, 51599, 52001, 54024, 53022, 52001, 52244, 52449, 50803, 56372, 51211, 62333, 52801, 53022, 51973, 54999, 51300, 53381, 50803, 53964, 69826, 51520, 61536, 50927, 73708, 52706, 52001, 52119, 53381, 52001, 52674, 52239, 50803, 51622, 52702, 58198, 52092, 52952, 52706, 75159, 51072, 54282, 52409, 52010, 50441, 52248, 50803, 51634, 50803, 54282, 52001, 52284, 52706, 50803, 54282, 52001, 52911, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 53236, 51858, 52116, 53022, 52001, 53532, 52239, 69583, 50823, 51634, 74562, 69834, 52163, 52269, 50803, 51622, 74562, 51599, 52001, 57303, 51019, 60271, 53022, 61903, 50799, 52449, 50803, 57416, 51622, 74562, 52677, 51858, 54024, 53022, 52244, 54999, 51300, 53381, 50803, 53964, 50993, 52092, 51599, 52001, 59236, 62644, 50423, 52706, 52001, 51973, 53381, 50803, 52092, 53025, 53300, 52239, 50803, 51622, 50811, 54282, 53025, 52119, 52706, 75159, 64322, 52010, 50435, 52248, 50803, 51634, 50811, 52627, 53025, 52057, 52706, 52001, 53609, 56163, 51300, 52239, 50803, 69756, 52930, 51599, 52001, 60295, 51133, 52313, 53022, 52001, 52911, 52239, 50803, 51634, 50803, 52627, 51599, 52001, 59550, 51415, 53798, 52269, 50803, 52874, 52299, 51858, 57365, 51011, 62183, 53022, 52163, 52449, 50803, 57416, 51456, 53843, 56575, 51456, 57841, 53022, 61903, 50799, 54999, 51300, 53381, 50803, 53964, 50993, 51335, 53766, 51520, 59413, 50927, 51072, 50417, 52706, 52001, 52244, 53381, 52001, 52801, 52239, 50803, 51622, 50803, 52092, 52702, 51973, 52706, 75159, 51072, 54282, 52409, 52010, 50429, 52248, 50803, 51634, 50803, 54282, 52001, 52119, 52706, 50803, 54282, 52001, 52674, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 53236, 52001, 52057, 53022, 52001, 53609, 52239, 69583, 50823, 51634, 50823, 52577, 51599, 52001, 52284, 52269, 50803, 51622, 69834, 57276, 51019, 61443, 53022, 74562, 52001, 52116, 52449, 50803, 57416, 51622, 74562, 52677, 51858, 53532, 53022, 52163, 54999, 51300, 53381, 50803, 62644, 53964, 50975, 52092, 51066, 50843, 51520, 54934, 52706, 61903, 50799, 53381, 52001, 54024, 52239, 50803, 51622, 50803, 54282, 63304, 52244, 52706, 75159, 64322, 52010, 50423, 52248, 50803, 51634, 50803, 52627, 53025, 51973, 52706, 52001, 53300, 56163, 51300, 52239, 50803, 56372, 69756, 52930, 51599, 52001, 52119, 53022, 52001, 52674, 52239, 50803, 57951, 51634, 69834, 52057, 52269, 50803, 58461, 51211, 51670, 52001, 53609, 53022, 52001, 52284, 52449, 50803, 60378, 51211, 52677, 51858, 52911, 53022, 52116, 54999, 51300, 53381, 50803, 62644, 53964, 69826, 51520, 55680, 52706, 52001, 52163, 53381, 52001, 52937, 52239, 50803, 51622, 50811, 52092, 61903, 50799, 52706, 75159, 50993, 54282, 52409, 52010, 50417, 52248, 50803, 51634, 50803, 54282, 52001, 52244, 52706, 50803, 54282, 52001, 52801, 56163, 51300, 52239, 50803, 56372, 51854, 50860, 54282, 69834, 51973, 53022, 50803, 54282, 53025, 53300, 52239, 50803, 57951, 51634, 69834, 52119, 52269, 50803, 57416, 51622, 74562, 69834, 52674, 53022, 74562, 53025, 52057, 52449, 50803, 57416, 51622, 62333, 53609, 53022, 50803, 52092, 52313, 54999, 51300, 53381, 50803, 53964, 69826, 51520, 62485, 62644, 50447, 52706, 50803, 52092, 54972, 52116, 53381, 52001, 53532, 52239, 50803, 51622, 50811, 54282, 53025, 52163, 52706, 75159, 64322, 52010, 50459, 52248, 50803, 51634, 50811, 52092, 61903, 50799, 52706, 50803, 51959, 53025, 54024, 56163, 51300, 52239, 50803, 51854, 51599, 61903, 50418, 50964, 52410, 53022, 52001, 52801, 52239, 50803, 63166, 51634, 69834, 51973, 52269, 50803, 52874, 52299, 52001, 56998, 51019, 55396, 53022, 52001, 52119, 52449, 62333, 57476, 51213, 59618, 53022, 52057, 55479, 51009, 53388, 50802, 54638, 51009, 55931, 51009, 69849, 51009, 71877, 52375, 52208, 50843, 51730, 58329, 51013, 54268, 51820, 52239, 52010, 50447, 52449, 50802, 52202, 52001, 51757, 51565, 52001, 55023, 57325, 52239, 78537, 50803, 51565, 52001, 51754, 53388, 50803, 52018, 50803, 51565, 52010, 50459, 52239, 78537, 50803, 51565, 52001, 50800, 50799, 55497, 51009, 52269, 50802, 55014, 51009, 58714, 51009, 59327, 51009, 50945, 51300, 51606, 53025, 51730, 50824, 53440, 51835, 52495, 52010, 50423, 52248, 53025, 51620, 50843, 55023, 58542, 52495, 50803, 51606, 52001, 51628, 53388, 50803, 51606, 51858, 52674, 52269, 50803, 51415, 50803, 51606, 52001, 51724, 58312, 51009, 53388, 50802, 56140, 51009, 55931, 51009, 69849, 51009, 51019, 51300, 51789, 52001, 51730, 57699, 51606, 52001, 51820, 52239, 50803, 51565, 51331, 52911, 52269, 53025, 51757, 50843, 55023, 57325, 52239, 52001, 51754, 53388, 52001, 52567, 52239, 67199, 52001, 50800, 50799, 66391, 51009, 53388, 50802, 56271, 51009, 54638, 51009, 63857, 51009, 51415, 50993, 51565, 78975, 56763, 52239, 52229, 55884, 52269, 50802, 61149, 51686, 52319, 77198, 52239, 50803, 60264, 51565, 54158, 52686, 53388, 70213, 52319, 62960, 52239, 52057, 55479, 51009, 53388, 50802, 54638, 51009, 55931, 51009, 69849, 51009, 50953, 51300, 50843, 51730, 50824, 54268, 51820, 52239, 52010, 50447, 52449, 53025, 51757, 51565, 52001, 55023 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 19834, 2125, 11, 163, 428, 3694, 6, 4246, 10, 5730, 2342, 4467, 483, 7513, 30, 10, 31391, 1672, 9590, 6, 38668, 11212, 6, 13305, 6, 8, 21072, 4, 20, 15229, 11498, 10, 204, 73, 306, 86, 6543, 8, 10, 38451, 3938, 20889, 6, 19, 10, 881, 21263, 9, 5, 12608, 401, 6, 12608, 406, 6, 12608, 401, 6, 163, 43531, 6, 8, 230, 119, 406, 33215, 16739, 6, 2351, 10, 11739, 9, 2933, 8, 1372, 6711, 29, 10686, 13, 10, 6717, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 61143, 50802, 53919, 50806, 52013, 53113, 61143, 50803, 51405, 54901, 61143, 51973, 61143, 50803, 52128, 50806, 52013, 55104, 61143, 52119, 51405, 52322, 55663, 50802, 53919, 50806, 52013, 53247, 55663, 50803, 51405, 55967, 55663, 52116, 55663, 50802, 52128, 50806, 52013, 52935, 55663, 50803, 51405, 56277, 55663, 50803, 50799, 63331, 50802, 53919, 50806, 52013, 53113, 63331, 50803, 51405, 54901, 63331, 51973, 63331, 50803, 52128, 50806, 52013, 55104, 63331, 52119, 51405, 52322, 59018, 50802, 53919, 50806, 52013, 53247, 59018, 50803, 51405, 55967, 59018, 52116, 59018, 50802, 52128, 50806, 52013, 52935, 59018, 50803, 51405, 56277, 59018, 50803, 50799, 63331, 50803, 53919, 50806, 52013, 56191, 63331, 52244, 63331, 50803, 51405, 54901, 63331, 51973, 63331, 50803, 52128, 50806, 52013, 55104, 63331, 52119, 51405, 52322, 55663, 50802, 53919, 50806, 52013, 53247, 55663, 50803, 51405, 55967, 55663, 52116, 55663, 50803, 52128, 50806, 52013, 55982, 55663, 52163, 55663, 50803, 51405, 56277, 55663, 50803, 50799, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 53113, 61143, 50802, 51405, 50806, 50741, 50286, 50806, 56258, 52247, 52128, 50806, 69807, 50806, 51640, 50806, 52013, 52686, 55663, 50803, 51405, 50806, 60082, 50806, 51132, 55246, 55663, 52057, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 53247, 61143, 50802, 51405, 52610, 52128, 50806, 52013, 52935, 51405, 50806, 50799, 61143, 50806, 61143, 50802, 63331, 51411, 53919, 50806, 56258, 50385, 57332, 52589, 53113, 61143, 50821, 61143, 50803, 51405, 54901, 61143, 50821, 61143, 51973, 61143, 50821, 61143, 50803, 61143, 51411, 52128, 50806, 51640, 50806, 51525, 52180, 50562, 55104, 61143, 50821, 61143, 52119, 51405, 50806, 51132, 52322, 61143, 50806, 55663, 50802, 59018, 51411, 53919, 50806, 51533, 50806, 52013, 52589, 53247, 61143, 50821, 55663, 50803, 51405, 55967, 61143, 50821, 55663, 52116, 61143, 50806, 55663, 50802, 55663, 51411, 52128, 50806, 51525, 52180, 50562, 52935, 61143, 50821, 55663, 50803, 51405, 56277, 61143, 50821, 55663, 50803, 50799, 61143, 50806, 63331, 50802, 63331, 51411, 53919, 50806, 56258, 50385, 57332, 52589, 53113, 61143, 50821, 63331, 50803, 51405, 54901, 61143, 50821, 63331, 51973, 61143, 50821, 63331, 50803, 61143, 51411, 52128, 50806, 51640, 50806, 51525, 52180, 50562, 55104, 61143, 50821, 63331, 52119, 51405, 50806, 51132, 52322, 61143, 50806, 59018, 50802, 59018, 51411, 53919, 50806, 51533, 50806, 52013, 52589, 52692, 61143, 50821, 59018, 50803, 51405, 52090, 54787, 61143, 50821, 59018, 52116, 61143, 50806, 59018, 50802, 55663, 51411, 52128, 50806, 51525, 52180, 50562, 52935, 61143, 50821, 59018, 50803, 51405, 56277, 61143, 50821, 59018, 50803, 50799, 61143, 50821, 63331, 50803, 63331, 51411, 53919, 50806, 56258, 50385, 57332, 52589, 56191, 61143, 50821, 63331, 52244, 61143, 50821, 63331, 50803, 51405, 54901, 61143, 50821, 63331, 51973, 61143, 50821, 63331, 50803, 61143, 51411, 52128, 50806, 51640, 50806, 51525, 52180, 50562, 55104, 61143, 50821, 63331, 52119, 51405, 50806, 51132, 52322, 61143, 50806, 55663, 50802, 59018, 51411, 53919, 50806, 51533, 50806, 52013, 52589, 53247, 61143, 50821, 55663, 50803, 51405, 55967, 61143, 50821, 55663, 52116, 61143, 50821, 55663, 50803, 55663, 51411, 52128, 50806, 51525, 52180, 50562, 55982, 61143, 50821, 55663, 52163, 61143, 50821, 55663, 50803, 51405, 56277, 61143, 50821, 55663, 50803, 50799, 55663, 50806, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 61143, 50806, 61143, 50802, 51405, 50806, 50741, 50286, 50806, 56258, 52247, 52128, 50806, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 55663, 50821, 55663, 50803, 51405, 50806, 60082, 50806, 51132, 55246, 55663, 50821, 55663, 52057, 55663, 50806, 55663, 50802, 53919, 50806, 73931, 50806, 51533, 50806, 52013, 52589, 52692, 61143, 50806, 61143, 50802, 51405, 52090, 53153, 52128, 50806, 51525, 52180, 50562, 52935, 54324, 50803, 51405, 56277, 54375, 50803, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 51640, 50806, 51525, 52180, 50562, 52686, 76616, 55545, 50806, 52013, 52589, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 52422, 51640, 50806, 51525, 52180, 50562, 52686, 76616, 55545, 50806, 52013, 52589, 53153, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 54467, 50802, 50741, 50286, 50806, 56258, 52247, 54467, 50802, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 60082, 50806, 51132, 52322, 54467, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50803, 56258, 50385, 57332, 52589, 56191, 54375, 52244, 54324, 51973, 51640, 50806, 51525, 52180, 50562, 52686, 76616, 55545, 50806, 52013, 52589, 53153, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50802, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 51533, 50806, 52013, 52589, 53247, 54375, 52175, 54324, 64825, 52180, 50562, 52935, 54375, 50802, 50799, 54324, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 50741, 50286, 50806, 56258, 52247, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 60082, 50806, 51132, 52322, 73931, 50806, 51533, 50806, 52013, 52589, 50806, 52129, 53153, 51525, 52180, 50562, 52935, 53527, 52937, 55861, 50803, 50799, 55861, 50802, 63331, 51411, 56258, 50385, 57332, 52589, 53113, 53527, 52038, 61143, 51411, 51640, 50806, 51525, 52180, 50562, 52686, 51132, 52322, 59018, 51411, 51533, 50806, 52013, 52589, 53153, 55663, 51411, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 63331, 51411, 56258, 50385, 57332, 52589, 53113, 54467, 52038, 54467, 50802, 61143, 51411, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802, 51132, 52322, 54467, 50802, 59018, 51411, 51533, 50806, 52013, 52589, 52692, 54375, 51599, 53153, 54324, 50802, 55663, 51411, 51525, 52180, 50562, 52935, 54375, 50802, 50799, 54467, 50803, 63331, 51411, 56258, 50385, 57332, 52589, 56191, 54375, 52244, 54324, 51973, 61143, 51411, 51640, 50806, 51525, 52180, 50562, 52686, 51132, 52322, 59018, 51411, 51533, 50806, 52013, 52589, 53153, 55663, 51411, 51525, 52180, 50562, 52935, 54324, 52937, 54375, 50803, 50799, 54467, 50802, 73931, 50806, 51533, 50806, 52013, 52589, 53113, 54467, 50802, 50741, 50286, 50806, 56258, 52247, 54467, 50802, 69807, 50806, 51640, 50806, 51525, 52180, 50562, 52686, 53527, 50802 ]

[ 0, 250, 19448, 15855, 2125, 6, 533, 31, 10, 822, 19834, 6, 4246, 10, 15352, 30054, 21979, 8669, 4, 20, 2214, 16, 11, 274, 538, 6, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 4, 20, 1049, 33215, 16739, 16, 274, 119, 6, 274, 6, 274, 119, 6, 274, 6, 230, 119, 4, 2285, 63, 765, 13428, 6, 42, 15229, 7630, 6568, 10, 5679, 26709, 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 ]

[ 54458, 50429, 51007, 50809, 54039, 52359, 51007, 50809, 54039, 53307, 51007, 50809, 54039, 52444, 51007, 68783, 50809, 52403, 50809, 54039, 50809, 53271, 51192, 51246, 51192, 50441, 51257, 52510, 52403, 53401, 54039, 50809, 52012, 51167, 51131, 69560, 51257, 54139, 52403, 52485, 54039, 50809, 54432, 51167, 51207, 51167, 50459, 51257, 50809, 50799, 52403, 54745, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51125, 50967, 51257, 50967, 52403, 50967, 54696, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 58999, 50980, 51846, 56812, 54696, 54139, 51257, 52485, 52403, 53793, 54696, 50809, 68643, 50880, 52028, 50880, 50799, 52403, 54745, 54696, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54696, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51007, 50967, 51257, 50967, 52403, 50967, 54039, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 52012, 50980, 51131, 56812, 54039, 54139, 51257, 52485, 52403, 53793, 54039, 50809, 53271, 50880, 51207, 50880, 50799, 51257, 54745, 51257, 50809, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 50809, 54039, 53467, 51257, 50809, 54039, 52329, 51257, 50809, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 50809, 54696, 52359, 51298, 50809, 79445, 58397, 50936, 51504, 69200, 51298, 50809, 52548, 52444, 50939, 60878, 50983, 52403, 50983, 51246, 59779, 50850, 50809, 51131, 54989, 50847, 50809, 51207, 56312, 50872, 50809, 51504, 54411, 52562, 50880, 51136, 58215, 51444, 50880, 50960, 54647, 51725, 50880, 50986, 57521, 53271, 50880, 51246, 50880, 76572, 50880, 51246, 59630, 52012, 50880, 51131, 54658, 54432, 50880, 51207, 56299, 58397, 51167, 51504, 51167, 50429, 51007, 50809, 54039, 52359, 51007, 50809, 54039, 53307, 51007, 50809, 54039, 52444, 51007, 68783, 50809, 52403, 50809, 54039, 50809, 53271, 51192, 51246, 51192, 50441, 51257, 52510, 52403, 53401, 54039, 50809, 52012, 51167, 51131, 69560, 51257, 54139, 52403, 52485, 54039, 50809, 54432, 51167, 51207, 51167, 50459, 51257, 50809, 50799, 52403, 54745, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51125, 50967, 51257, 50967, 52403, 50967, 54696, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 58999, 50980, 51846, 56812, 54696, 54139, 51257, 52485, 52403, 53793, 54696, 50809, 68643, 50880, 52028, 50880, 50799, 52403, 54745, 54696, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 53467, 52403, 52329, 54696, 50809, 58397, 50936, 51504, 71983, 51257, 52359, 52403, 50809, 58397, 50936, 51504, 69200, 51007, 50967, 51257, 50967, 52403, 50967, 54039, 59067, 53271, 51192, 51246, 77588, 51257, 53401, 52403, 50809, 52012, 50980, 51131, 56812, 54039, 54139, 51257, 52485, 52403, 53793, 54039, 50809, 53271, 50880, 51207, 50880, 50799, 51257, 68783, 50809, 54039, 54745, 51257, 50809, 54039, 50809, 52012, 51192, 51504, 51192, 50420, 51257, 50809, 54039, 53467, 51257, 50809, 54039, 52329, 51257, 50809, 54039, 50809, 58397, 50936, 51504, 71983, 51257, 50809, 54696, 52359, 51298, 50809, 79445, 58397, 50936, 51504, 69200, 51298, 50809, 52548, 52444, 51007, 51161, 52403, 51161, 53271, 50880, 51246, 59779, 51131, 54989, 51207, 56312, 51504, 54411, 52562, 58215, 51444, 54647, 51725, 57521, 53271, 50880, 76572, 59630, 58397, 50936, 51504, 67808, 53271, 51167, 51246, 51167, 50429, 51257, 52359, 51439, 53307, 52238, 52444, 51649, 50809, 58397, 50980, 51504, 77756, 52238, 52510, 51439, 53401, 51257, 52555, 70602, 51725, 50980, 50453, 52238, 52485, 51649, 53793, 52238, 50809, 50799, 70602, 58397, 50980, 51504, 50980, 50417, 51257, 52628, 51439, 53467, 52238, 52329, 51649, 50809, 51725, 50980, 50986, 74177, 52238, 52359, 51439, 53307, 51257, 52444, 50939, 60878, 68783, 50809, 52403, 50809, 53271, 50980, 51246, 77756, 51649, 52510, 51439, 53401, 51257, 52555, 50939, 60878, 68783, 50809, 52403, 50809, 53271, 50980, 51246, 50980, 50453, 51649, 52485, 51439, 53793, 51257, 50809, 76952, 60878, 68783, 50809, 52403, 50809, 53271, 50980, 51246, 50980, 50417, 51649, 52628, 51439, 53467, 51257, 52329, 51298, 50809, 51725, 74177, 51007, 52359, 50909, 53307, 50939, 52444, 50850, 50809, 58397, 50980, 51504, 77756, 50872, 52510, 50850, 53401, 50909, 52555, 51298, 50809, 51725, 50980, 50986, 50980, 50453, 51257, 52485, 51439, 53793, 51649, 50809, 50799, 70602, 51504, 50980, 50970, 50980, 50417, 51257, 52628, 51149, 53467, 51257, 52329, 70602, 52562, 50980, 51136, 74177, 51257, 52359, 51149, 53307, 51298, 52444, 51007, 50983, 51444, 50880, 50960, 59779, 50986, 54989, 51246, 56312, 51131, 54411, 51725, 50880, 50986, 58215, 51246, 54647, 51131, 57521, 51246, 50880, 76220, 51112, 53271, 50880, 51246, 59630, 51207, 54658, 51444, 56299, 51504, 51167, 50429, 51257, 52359, 51439, 53307, 52238, 52444, 50850, 51060, 50909, 51060, 51298, 51060, 51649, 51060, 58397, 50980, 51131, 50980, 50447, 50872, 68783, 52555, 50847, 50809, 70602, 51725, 76335, 50992, 50809, 52238, 52485, 63224, 65420, 51257, 50865, 51649, 50865, 58397, 50936, 51504, 50936, 52177, 51257, 52628, 51149, 53467, 51257, 52329, 70602, 51504, 74177, 51257, 52359, 51149, 53307, 51298, 52444, 50939, 51060, 51007, 51060, 51257, 51060, 52403, 51060, 53271, 50980, 51246, 50980, 50447, 50872, 68783, 52555, 50847, 50809, 70602, 51504, 76335, 50850, 50809, 51649, 52485, 69155, 69357, 51257, 50865, 52403, 50865, 53271, 50936, 51246, 50936, 52177, 50872, 68783, 52628, 50847, 50809, 51439, 53467, 50850, 68783, 52329, 52403, 50809, 51504, 74177, 51649, 52359, 51439, 53307, 51257, 52444, 50850, 51060, 50909, 51060, 51298, 51060, 51649, 51060, 58397, 50980, 51504, 50980, 50447, 50872, 68783, 52555, 50847, 50809, 70602, 51725, 76335, 50992, 50809, 52238, 52485, 63224, 65420, 51298, 50865, 51649, 50865, 58397, 50936, 51504, 50936, 52177, 51439, 52628, 51257, 53467, 51439, 52329, 50850, 61056, 68783, 50809, 58397, 50980, 51504, 74177, 51298, 52359, 51007, 53307, 50909, 52444, 50939, 51161, 53271, 50880, 51246, 59779, 52012, 50880, 51131, 54989, 53271, 50880, 51246, 56312, 51725, 50880, 50986, 54411, 53805, 50880, 51317, 58215, 51725, 50880, 50986, 54647, 53805, 50880, 51317, 57521, 52562, 50880, 70952, 58700, 50880, 50970, 59630, 50986, 54658, 51131, 56299, 51504, 51167, 50429, 50872, 52359, 50939, 53307, 50909, 52444, 50872, 69684, 50809, 53271, 50980, 51246, 77756, 50909, 52510, 50939, 53401, 50872, 52555, 51017, 62690, 50809, 53271, 50980, 51246, 50980, 50453, 50909, 52485, 51125, 53793, 50909, 50809, 63649, 62690, 50809, 58999, 50980, 51846, 50980, 50417, 50872, 52628, 50939, 53467, 50909, 52329, 50872, 69684, 50809, 58999, 50980, 51846, 74177, 50909, 52359, 50939, 53307, 69155, 51298, 50865, 51840, 54930, 68643, 50980, 52028, 77756, 51257, 52510, 51298, 53401, 51257, 52555, 50939, 50809, 51298, 50809, 51840, 50809, 68643, 50980, 52028, 50980, 50453, 51257, 52485, 51298, 53793, 51257, 50809, 76952, 50809, 51298, 50809, 51840, 50809, 72187, 50980, 52562, 50980, 50417, 51257, 61456, 51298 ]

[ 0, 713, 14899, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 10563, 4, 590, 10, 20902, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 2382, 3459, 8669, 981, 5, 33301, 6, 2800, 30, 5, 4066, 23225, 9, 10, 2003, 38704, 31365, 25999, 4, 20, 12989, 2810, 6, 13822, 9, 31391, 1672, 8, 21979, 9590, 552, 19, 21072, 6, 11498, 10, 5204, 8, 20425, 27071, 1328, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2214, 22848, 10, 33215, 16739, 9, 83, 6, 211, 406, 6, 8, 3676, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 77629, 51181, 50896, 51763, 50807, 51389, 50981, 54933, 67444, 52762, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 55722, 79714, 53219, 51181, 50896, 66469, 51389, 50981, 53804, 53162, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 55722, 53017, 51083, 63483, 57965, 52152, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 67444, 52712, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 58246, 79714, 52904, 51181, 50896, 66469, 51389, 50981, 53804, 52878, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 58246, 55097, 61014, 51083, 63483, 57965, 51370, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 54933, 67444, 52762, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 55722, 79714, 53219, 51181, 50896, 66469, 51389, 50981, 53804, 53162, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 55722, 53017, 51083, 63483, 57965, 52152, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 67444, 52712, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 58246, 79714, 52904, 51181, 50896, 66469, 51389, 50981, 53804, 52878, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 58246, 55097, 61014, 51083, 63483, 57965, 51370, 50829, 53447, 50896, 51763, 50807, 51389, 50981, 54933, 67444, 52712, 51844, 50896, 51083, 79157, 71638, 50807, 51216, 50981, 55722, 80029, 52766, 51181, 50896, 66469, 51389, 50981, 53804, 53162, 57683, 50983, 51083, 63483, 57965, 51370, 52802, 51844, 50896, 51083, 63483, 57965, 64014, 50981, 55722, 53137, 51083, 63483, 57965, 52152, 50829, 53447, 50896, 57683, 50807, 51389, 50981, 53804, 69006, 64706, 52762, 51844, 50896, 62366, 71638, 50918, 51185, 50918, 51216, 50981, 58246, 79714, 52904, 51181, 50896, 58438, 50807, 51389, 50981, 53804, 73739, 52802, 51844, 50896, 51216, 50981, 58246, 53137, 58438, 50807, 51960, 53447, 50896, 51185, 50983, 52165, 50983, 51389, 50981, 54933, 52981, 57683, 50983, 58139, 51844, 50896, 51216, 50981, 58246, 52818, 52110, 50807, 56270, 51181, 50896, 51389, 50981, 53804, 53162, 52165, 51049, 54368, 52110, 51757, 51844, 50896, 52165, 50807, 51216, 50981, 55722, 53137, 57683, 50983, 63609, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 69006, 64706, 52762, 51844, 50896, 62366, 71638, 50983, 51185, 50983, 51216, 50981, 55722, 79714, 52904, 51181, 50896, 58438, 50807, 51389, 50981, 53804, 52878, 51185, 51370, 52802, 51844, 50896, 60827, 57965, 50807, 51216, 50981, 55722, 53137, 57683, 50983, 51960, 53447, 50896, 51185, 50807, 52165, 50807, 51389, 50981, 54933, 67444, 52712, 51844, 50896, 51023, 64014, 50981, 55722, 52818, 52110, 50807, 56270, 51181, 50896, 51389, 50981, 53804, 53162, 52165, 51370, 52802, 51844, 50896, 51023, 50807, 51216, 50981, 55722, 53137, 63609, 53447, 50896, 57683, 50807, 51389, 50981, 53804, 69006, 64706, 52762, 51844, 50896, 62366, 61538, 50983, 51268, 50983, 51023, 50983, 51216, 50981, 55722, 79714, 52904, 51181, 50896, 58438, 50807, 51389, 50981, 53804, 52878, 51185, 51370, 52802, 51844, 50896, 51023, 50807, 51216, 50981, 55722, 53137, 58438, 50807, 51960, 53447, 50896, 51389, 50981, 53804, 52981, 51185, 50983, 52165, 50983, 80077, 57683, 55834, 51844, 50896, 51216, 50981, 55722, 79714, 53219, 51181, 50896, 52110, 50807, 51389, 50981, 53804, 53162, 62435, 51370, 52802, 51844, 50896, 57683, 50807, 51185, 50807, 52165, 50807, 51216, 50981, 55722, 53017, 71973, 53447, 50896, 58850, 71638, 63997, 50795, 52165, 69535, 50981, 53804, 52981, 51185, 50795, 52165, 51370, 52712, 51844, 50896, 62435, 63997, 50795, 52165, 64014, 50981, 58246, 52953, 57683, 50983, 51185, 50795, 52165, 51370, 53116, 51181, 50896, 51185, 50795, 52165, 69535, 50981, 53804, 53162, 52110, 50807, 59056, 51844, 50896, 58438, 50807, 51216, 50981, 58246, 53137, 51185, 50795, 52165, 52152, 50829, 53447, 50896, 60827, 50807, 51185, 50795, 52165, 69535, 50981, 53804, 52981, 51185, 50795, 52165, 51370, 52762, 51844, 50896, 60827, 63997, 50795, 52165, 64014, 50981, 55722, 52953, 57065, 50807, 51185, 50795, 52165, 51370, 53219, 51181, 50896, 51185, 50795, 52165, 69535, 50981, 53804, 53162, 55910, 50983, 51185, 50795, 52165, 51370, 52802, 51844, 50896, 51185, 50807, 51216, 50981, 55722, 53017, 71973, 53053, 50896, 57721, 50918, 52078, 50981, 53804, 67444, 52712, 51181, 50896, 51083, 50983, 51061, 50983, 51389, 50981, 58246, 79714, 53116, 74897, 52078, 50981, 53804, 53162, 51208, 51370, 52772, 51181, 50896, 51061, 50807, 51389, 50981, 58246, 53137, 63609, 53053, 50896, 51401, 50807, 52078, 50981, 53804, 67444, 52762, 51181, 50896, 51061, 65779, 69535, 50981, 58246, 52953, 51023, 50807, 52093, 57842, 50896, 60985, 50795, 52078, 50981, 53804, 53162, 55910, 50983, 51185, 51370, 52802, 51181, 50896, 51020, 50807, 51389, 50981, 55722, 53017, 71973, 53053, 50896, 57721, 50918, 51401, 50807, 52078, 50981, 53804, 67444, 52712, 51181, 50896, 51061, 50983, 51208, 50983, 51389, 50981, 55722, 79714, 53116, 74897, 52078, 50981, 53804, 53162, 51061, 51370, 52772, 51181, 50896, 51083, 50807, 51389, 50981, 55722, 53137, 63609, 53053, 50896, 51401, 50918, 51208, 50918, 51185, 50918, 52078, 50981, 53804, 67444, 52762, 51181, 50896, 51389, 50981, 58246, 79714, 53219, 65476, 62435, 65779, 50807, 52078, 50981, 53804, 53162, 51374, 50849, 57683, 51358, 56890, 76616, 51061, 71638, 50807, 51389, 50981, 55722, 53017, 51137, 55163, 50835, 54468, 50896, 53240, 50981, 53804, 67444, 52712, 51374, 50896, 58850, 50983, 51020, 65779, 76674, 50795, 51984, 50981, 55722, 52953, 51020, 65779, 76674, 51370, 50841, 54585, 50896, 51020, 65779, 76674, 50795, 53240, 50981, 53804, 53162, 62435, 50983, 51020, 65779, 76674, 51370, 52772, 51374, 50896, 51020, 50807, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 53137, 63609, 54468, 50896, 57683, 50983, 51020, 50807, 51208, 50807, 51403, 50807, 53240, 50981, 53804, 63059, 52712, 51374, 50896, 51495, 58281, 50795, 51984, 50981, 58246, 52953, 58438, 50983, 51020, 50807, 51208, 50807, 51403, 50807, 51960, 54585, 50896, 53240, 50981, 53804, 53162, 51020, 65779, 76674, 51370, 50835, 51618, 53003, 51374, 50896, 57683, 50918, 51020, 50807, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 50835, 73145, 54468, 50896, 53240, 50981, 53804, 67444, 52762, 51374, 50896, 58850, 50918, 51020, 65779, 76674, 50795, 51984, 50981, 55722, 52953, 51020, 65779, 76674, 51370, 50829, 54585, 50896, 51020, 65779, 76674, 50795, 53240, 50981, 53804, 52875, 51020, 65779, 76674, 51370, 52802, 51374, 50896, 57683, 77169, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 53017, 71973, 54468, 50896, 58438, 50918, 51020, 65779, 76674, 50795, 53240, 50981, 53804, 52981, 51020, 65779, 76674, 51370, 52712, 51374, 50896, 51020, 65779, 76674, 50795, 51984, 50981, 55722, 52818, 51020, 50807, 51385, 50807, 52165, 50807, 51983, 54585, 50896, 57683, 50807, 53240, 50981, 53804, 53162, 51020, 65779, 76674, 51370, 50829, 51618, 53003, 51374, 50896, 57721, 50918, 51020, 50807, 51208, 50807, 51403, 50807, 51984, 50981, 55722, 50829, 73145, 53447, 50896, 51763, 50807, 51389, 50981, 53804, 67444, 52762, 51844, 50896, 55910, 51161, 51083, 50983, 51185, 50983, 51216, 50981, 55722, 79714, 53219 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 25, 5, 6922, 10320, 4, 8504, 11, 83, 538, 19, 10, 20902, 132, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 83, 8, 381, 406, 35315, 1328, 5, 2125, 6, 1271, 7, 63, 14899, 8, 20425, 16464, 6, 150, 5, 34879, 35334, 6453, 9, 11098, 8, 657, 6, 442, 24, 10686, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 77669, 51038, 75040, 52136, 50989, 51637, 51120, 51922, 50432, 51176, 75868, 64248, 51027, 52386, 50310, 64359, 51086, 65379, 50904, 75040, 52136, 50989, 51637, 50432, 51176, 75868, 64248, 51027, 52386, 50310, 64359, 51086, 65379, 50904, 69953, 52916, 51027, 52528, 50989, 52140, 52076, 52323, 51114, 59288, 50951, 55191, 51120, 51806, 50899, 51806, 50999, 59612, 51787, 51853, 50301, 52056, 50899, 52056, 50989, 52056, 50444, 51430, 50972, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 67088, 73585, 51644, 50330, 54342, 51027, 71066, 74468, 72713, 51712, 50332, 50974, 75040, 71066, 74468, 52216, 50322, 51712, 50334, 58879, 51114, 50851, 51027, 71066, 74468, 75741, 50951, 53220, 51120, 67088, 52104, 50325, 53052, 51787, 50851, 51027, 71066, 74468, 75256, 51430, 50851, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 67088, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 67088, 52104, 50330, 53052, 51027, 71066, 74468, 70358, 51853, 50322, 73276, 51853, 50330, 50972, 69953, 71066, 70358, 51853, 50322, 73276, 51853, 50330, 59288, 51114, 55054, 50951, 53220, 51120, 67088, 52104, 50325, 53052, 51787, 50851, 51027, 71066, 74468, 75256, 51430, 50851, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 67088, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 67088, 73585, 51644, 50330, 54342, 51027, 71066, 74468, 72713, 51712, 50332, 50974, 75040, 71066, 74468, 52216, 50322, 51712, 50334, 58879, 51114, 50851, 51027, 71066, 74468, 75741, 50951, 53220, 51120, 67088, 52104, 50325, 53052, 51787, 50851, 51027, 71066, 74468, 75256, 51430, 50851, 75040, 71066, 74468, 52216, 50330, 50972, 58973, 55054, 50968, 53220, 51120, 67088, 52104, 50322, 51637, 74769, 71066, 74468, 51074, 75040, 71066, 74468, 63961, 50951, 55054, 51114, 53220, 51279, 52216, 50301, 71509, 53052, 66005, 51027, 52216, 50305, 78912, 65721, 75256, 51114, 50851, 51057, 72147, 51279, 52216, 50301, 51074, 79578, 54711, 51220, 50851, 51027, 52216, 50305, 78912, 65721, 75741, 51399, 53220, 51120, 71066, 52216, 50330, 55378, 51027, 71066, 74468, 70358, 51853, 50322, 73276, 51853, 50330, 50972, 52323, 51120, 51738, 50899, 52056, 50902, 51709, 51114, 51709, 50999, 51709, 51146, 51709, 50426, 51399, 55378, 51146, 52322, 51279, 51073, 51027, 51290, 51430, 51566, 75040, 50812, 51040, 50812, 59285, 50999, 53504, 51027, 50812, 51040, 50812, 59285, 50999, 51835, 51027, 70101, 56135, 72386, 52247, 51027, 70101, 56135, 51442, 50337, 52309, 51120, 63461, 51936, 50334, 51496, 75040, 63891, 75965, 57368, 51027, 63891, 75965, 52871, 51027, 58548, 62838, 54851, 51339, 50821, 51027, 58548, 62838, 65708, 51787, 52686, 51360, 51936, 50305, 51936, 50336, 50911, 51057, 51040, 58963, 50812, 58383, 51399, 53504, 51040, 58963, 50812, 58383, 51399, 51835, 51040, 57874, 60452, 51442, 50329, 52247, 51040, 57874, 60452, 51442, 50341, 52309, 51378, 51936, 50310, 51936, 50337, 51274, 51057, 51040, 50812, 63435, 57002, 50417, 51040, 50812, 63435, 50877, 52871, 51040, 62838, 58696, 54851, 51814, 77099, 62838, 58696, 65708, 51814, 51628, 51814, 51033, 51086, 50893, 51057, 51487, 79730, 71335, 50879, 54569, 71335, 51442, 50330, 50806, 52912, 52247, 50899, 71335, 65708, 51487, 52686, 51487, 51033, 51040, 50893, 51057, 51787, 50921, 50989, 58696, 56179, 50989, 58696, 51442, 50329, 50806, 53684, 52247, 50989, 58696, 65708, 51399, 52686, 51146, 51033, 51040, 50893, 51057, 51399, 50921, 50871, 60452, 50879, 55961, 60452, 72386, 50806, 51814, 52247, 50871, 60452, 65708, 51147, 50821, 52128, 52686, 50989, 65481, 51936, 50322, 51496, 51787, 51496, 51057, 50989, 58696, 56179, 50989, 58696, 54851, 51399, 55104, 51146, 52686, 51279, 69748, 51936, 50332, 50911, 75040, 50812, 51040, 50812, 59285, 50999, 53504, 51027, 50812, 51040, 50812, 59285, 50999, 51835, 51027, 70101, 56135, 72386, 52247, 51027, 70101, 56135, 51442, 50337, 52309, 51120, 63461, 51936, 50334, 51496, 75040, 63891, 75965, 57368, 51027, 63891, 75965, 52871, 51027, 58548, 62838, 54851, 51339, 50821, 51027, 58548, 62838, 65708, 51787, 52686, 51360, 51936, 50305, 51936, 50336, 50911, 51057, 51040, 58963, 50812, 58383, 51399, 53504, 51040, 58963, 50812, 58383, 51399, 51835, 51040, 57874, 60452, 51442, 50329, 52247, 51040, 57874, 60452, 51442, 50341, 52309, 51378, 51936, 50310, 51936, 50337, 51274, 51057, 51040, 50812, 63435, 57002, 50417, 51040, 50812, 63435, 50877, 52871, 51040, 62838, 58696, 54851, 51814, 77099, 62838, 58696, 65708, 51814, 51628, 51814, 51033, 51086, 50893, 51057, 51487, 79730, 71335, 50879, 54569, 71335, 51442, 50330, 50806, 52912, 52247, 50899, 71335, 65708, 51487, 52686, 51487, 51033, 51040, 50893, 51057, 51787, 50921, 50989, 58696, 56179, 50989, 58696, 51442, 50329, 50806, 53684, 52247, 50989, 58696, 65708, 51399, 52686, 51146, 51033, 51040, 50893, 51057, 51399, 50921, 50871, 60452, 50879, 55961, 60452, 72386, 50806, 51814, 52247, 50871, 60452, 65708, 51147, 50821, 52128, 52686, 50989, 65481, 51936, 50322, 51496, 51787, 51496, 51057, 50989, 58696, 56179, 50989, 58696, 54851, 51114, 55104, 50951, 52686, 51120, 63461, 51936, 50325, 50911, 51057, 51787, 50821, 51027, 58548, 62838, 78006, 51430, 53113, 51027, 58548, 62838, 51442, 50330, 52247, 68455, 51027, 58548, 62838, 65708, 50968, 52686, 51120, 63461, 51936, 50322, 51274, 75040, 58548, 62838, 56179, 51027, 58548, 62838, 54851, 62679, 51027, 58548, 62838, 65708, 51114, 52686, 51279, 69748, 75672, 50911, 51057, 70433, 51027, 70101, 63254, 56135, 78006, 51114, 53113, 62679, 51279, 69748, 65393, 50999, 52422, 72822, 51027, 70101, 63254, 56135, 65708, 51399, 52686, 51120, 63461, 68550, 53194, 50330, 51012, 75040, 58548, 62838, 67734, 52362, 50332, 50923, 56945, 58548, 62838, 51442, 50322, 52362, 50334, 57078, 51114, 50821, 51027, 58548, 62838, 65708, 50951, 52686, 51120, 63461, 51936, 50325, 50911, 51057, 51787, 50821, 51027, 58548, 62838, 78006, 51430, 53113, 51027, 58548, 62838, 51442, 50330, 52247, 68455, 51027, 58548, 62838, 65708, 50968, 52686, 51120, 63461, 51936, 50322, 51274, 75040, 58548, 62838, 56179, 51027, 58548, 62838, 54851, 62679, 51027, 58548, 62838, 65708, 51114, 52686, 51279, 69748, 75672, 50911, 51057, 70433, 51027, 70101, 63254, 56135, 78006, 51114, 53113, 62679, 51279, 69748, 65393, 50999, 52422, 72822, 51027 ]

[ 0, 250, 20902, 3495, 2214, 11, 274, 538, 6, 17407, 30, 41, 20425, 8, 15352, 30054, 13305, 819, 4, 590, 10, 1769, 20889, 9, 18461, 13410, 228, 2289, 8, 10, 231, 73, 398, 86, 6543, 6, 24, 7630, 6568, 6453, 9, 11098, 8, 657, 4, 20, 46336, 3184, 29769, 198, 5, 3222, 5785, 227, 5, 230, 406, 73, 717, 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 ]

[ 51540, 50632, 50899, 73273, 51127, 50997, 52644, 53645, 56509, 50906, 73273, 50943, 56279, 51619, 50326, 51538, 50462, 50871, 50981, 50474, 50906, 51003, 51540, 50899, 67883, 51103, 50997, 53454, 53645, 54975, 50906, 73273, 55441, 50899, 64571, 51518, 50462, 50871, 51003, 50474, 50906, 51003, 51540, 50997, 64292, 51127, 53645, 50981, 55898, 60006, 55441, 64062, 51050, 65421, 50876, 51124, 50462, 50871, 64292, 50914, 50474, 50956, 60559, 50943, 51540, 50997, 61739, 51518, 53337, 56692, 50871, 55247, 50997, 62163, 51127, 78092, 71207, 50871, 50981, 51540, 51086, 64951, 51103, 51026, 53082, 53337, 54975, 50861, 71946, 57197, 51086, 51807, 50330, 51692, 78092, 51003, 50474, 50861, 50915, 51540, 51086, 71946, 51103, 51026, 52644, 53337, 54975, 50861, 71946, 55441, 51086, 61739, 51518, 78092, 51003, 50474, 50861, 50915, 51540, 51086, 79327, 51103, 51026, 51692, 53337, 54975, 50861, 64951, 55441, 51220, 64774, 51619, 50299, 51422, 50453, 50999, 51116, 78092, 64951, 50889, 50474, 50989, 51807, 50325, 50914, 51540, 51086, 69836, 51692, 50951, 51359, 53337, 54975, 50997, 57105, 51027, 60045, 51003, 50462, 50997, 61861, 67883, 50914, 50474, 50900, 66533, 65910, 50943, 51540, 50899, 67883, 51127, 50997, 53082, 53645, 54975, 50906, 67883, 55441, 50899, 51619, 50326, 51518, 50462, 50871, 51003, 50474, 50906, 51003, 51540, 50899, 65910, 51127, 50997, 53082, 53645, 56692, 50906, 65910, 55082, 50899, 63129, 51486, 50462, 50871, 71207, 50906, 50915, 51540, 50997, 60006, 51103, 53645, 51003, 55898, 62163, 55082, 61673, 51050, 65421, 79844, 50462, 50871, 62163, 50943, 50474, 50956, 60559, 50914, 51540, 50997, 64571, 51538, 53337, 54975, 50871, 57105, 50997, 60006, 51103, 78092, 71207, 50871, 50981, 51540, 51086, 79327, 51127, 51026, 52644, 53337, 54975, 50861, 64951, 55441, 51086, 51619, 50330, 51486, 78092, 50981, 50474, 50861, 50981, 51540, 51086, 71946, 51127, 51026, 53454, 53337, 56509, 50861, 79327, 56508, 51086, 64571, 51486, 78092, 71207, 50861, 51003, 51540, 51086, 71946, 51127, 51026, 51422, 53337, 54975, 50861, 64951, 55441, 51220, 64774, 69836, 51677, 50453, 50999, 51124, 78092, 64951, 50914, 50474, 50989, 75052, 50914, 51540, 51086, 51619, 50299, 51677, 50951, 51359, 53337, 54975, 50997, 57105, 51027, 65117, 50981, 50462, 50997, 64763, 64951, 50889, 50474, 50900, 65227, 79327, 50889, 51540, 50900, 65910, 51127, 51027, 53454, 56040, 54975, 50871, 73273, 50943, 55895, 51741, 50333, 53380, 50462, 50956, 50981, 50474, 50871, 50915, 51540, 50997, 64763, 50981, 53645, 56692, 50956, 51619, 50333, 50943, 56279, 73273, 53259, 50462, 50900, 71207, 50997, 50981, 51540, 50900, 72944, 53454, 56040, 54975, 50871, 67883, 51003, 55895, 51619, 50333, 53363, 50462, 50956, 71207, 50871, 51003, 51540, 50997, 61861, 50981, 53645, 54975, 50899, 51741, 50333, 55441, 50997, 67883, 51183, 50462, 51050, 50981, 50474, 51120, 51807, 50333, 50943, 51540, 51234, 65910, 51103, 53337, 56692, 50871, 67883, 55441, 50899, 51741, 50326, 51486, 50997, 51717, 50462, 50871, 71207, 50906, 51003, 51540, 50899, 67883, 51077, 53645, 56692, 50906, 73273, 50943, 56279, 61739, 51538, 50462, 50871, 51003, 50474, 50906, 50915, 51540, 51050, 62163, 51077, 53645, 54975, 50899, 60006, 56508, 67666, 51050, 51003, 50453, 79844, 50462, 50871, 62163, 50943, 50474, 50956, 60559, 50914, 51540, 50997, 61849, 60006, 51486, 53645, 54975, 50956, 50981, 56279, 51003, 50462, 50900, 71207, 50997, 50981, 51540, 50900, 73273, 51103, 51027, 53082, 56040, 56692, 50871, 67883, 51003, 55895, 51741, 50333, 53363, 50462, 50956, 50981, 50474, 50871, 50981, 51540, 50997, 61861, 50915, 53645, 56692, 50956, 51741, 50333, 51003, 56279, 67883, 53259, 50462, 50900, 71207, 50997, 50915, 51540, 50900, 73657, 53454, 56040, 56509, 50871, 67883, 50943, 55895, 51741, 50333, 53380, 50462, 50956, 50981, 50474, 50871, 50981, 51540, 50997, 64763, 50915, 53645, 54975, 50899, 51741, 50333, 56508, 50997, 65910, 51077, 50462, 51050, 50981, 50474, 51120, 51619, 50333, 51003, 51540, 51234, 65910, 51077, 53337, 56692, 50871, 67883, 50943, 56279, 51807, 50326, 51518, 50997, 52122, 50462, 50871, 50981, 50474, 50906, 50915, 51540, 50899, 67883, 51103, 53645, 56509, 50906, 65910, 55441, 50899, 64571, 51486, 50462, 50871, 71207, 50906, 50981, 51540, 51050, 64292, 51183, 53645, 54975, 50899, 62163, 55441, 64062, 51050, 51003, 50453, 50876, 51124, 50462, 50871, 62163, 50943, 50474, 50956, 59258, 50943, 51540, 50997, 64763, 62163, 51518, 56759, 54975, 50997, 55247, 51234, 58657, 51538, 51001, 51518, 50462, 50997, 51003, 50474, 50997, 50915, 51540, 51234, 59782, 51486, 50902, 51518, 56759, 54975, 50997, 57197, 51234, 66533, 51692, 50876, 51518, 50462, 50997, 50981, 50474, 50997, 50915, 51540, 51234, 61861, 60597, 50889, 53337, 60006, 56389, 50997, 62163, 56508, 60437, 51026, 77204, 50906, 51255, 50462, 50997, 58421, 50914, 50474, 51026, 60006, 50914, 51540, 51197, 59258, 50943, 56947, 59937, 53912, 51197, 60559, 56508, 51050, 60559, 50914, 50462, 51027, 61739, 50914, 50474, 51050, 59937, 50943, 51540, 51234, 62163, 51183, 56759, 56692, 50997, 50981, 56222, 73273, 50914, 50462, 50997, 69928, 50943, 50474, 50997, 77240, 50943, 51540, 50871, 69928, 55973, 50997, 61739, 56389, 50997, 63129, 55441, 50956, 64571, 50914, 50462, 50997, 60559, 50943, 50474, 50997, 60559, 50943, 51540, 50899, 64292, 55973, 50997, 64292, 55965, 50997, 62163, 55082, 60437, 51026, 77204, 50906, 51124, 50462, 50997, 60598, 51003, 50474, 51026, 64292, 50943, 51540, 51197, 59258, 54243, 51026, 59937, 56389, 51197, 59937, 55082, 64062, 51050, 65421, 50876, 51124, 50462, 51027, 62163, 50889, 50474, 51050, 59258, 50943, 51540, 51234, 61739, 51003, 56759, 61739, 56389, 51027, 61739, 55441, 64341, 50997, 51003, 50453, 50902, 51221, 50462, 51027, 59937, 50914, 50474, 50997, 64571, 50943, 51540, 51026, 73093, 55973, 51027, 71278, 56509, 50997, 68504, 55441, 66771, 50900, 77204, 50968, 51124, 50462, 50997, 63129, 50943, 50474, 50900, 68504, 50914, 51540, 51027, 65910, 54243, 50877, 65910, 56389, 50871, 65910, 57197, 50951, 63891, 65421, 50931, 51255, 50462, 50871, 68504, 50889, 50474, 50899, 67883, 50914, 51540, 50997, 64951, 50943, 53337, 64951, 56389, 50997, 64951, 55441, 50900, 79327, 51003, 50462, 50916, 51741, 50325, 50914, 50474, 50900, 79327, 50943, 51540, 51050, 67883, 55973, 51027, 51619, 50333, 56389, 51050, 51741, 50333, 55441, 51487, 50812, 51120, 65421, 51339, 51116, 50462, 51050, 51619, 50332, 50914, 50474, 51120, 51619, 50333, 50914, 51540, 51234, 51741, 50335, 57908, 51120, 51619, 50335, 56389, 51234, 51741, 50335, 57197, 51085, 51741, 50335, 50943, 50462, 51315, 51741, 50337, 50914, 50474, 51085, 51619, 50335, 50914, 51540, 51339, 78167, 78042, 50931, 56509, 50931, 55441, 50931, 50943, 50462, 50968, 50943, 50474, 50931, 50914, 51540, 50968, 55973, 50931, 55965, 50931, 56508, 50968, 50943, 50462, 50931, 50889, 50474, 50931, 50889, 51540, 50968, 64912, 74333, 52644, 75536, 51562, 53645, 54975, 50906, 73273, 55082, 50899, 51619, 50326, 51518, 50462, 50871, 71207, 50906, 50981, 51540, 50968, 65860, 74333, 52644, 75536, 51446, 53645, 56692, 50906, 67883, 55082, 50899, 61739, 51486, 50462, 50871, 51003, 50474, 50906, 51003, 51540, 61233, 50997, 51003, 50417, 50906, 51413 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 25771, 2214, 4246, 10, 6755, 12547, 6, 24896, 6, 20535, 483, 6, 2342, 4467, 6, 8, 38668, 22052, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 1614, 1073, 1020, 20889, 9, 5913, 163, 5683, 4, 20, 1049, 33215, 16739, 6, 274, 10431, 8, 230, 10431, 6, 35315, 1328, 5, 15229, 6, 2351, 10, 5679, 26709, 8, 23975, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57528, 50796, 50796, 50444, 52083, 53794, 52251, 53702, 51827, 50873, 55984, 51189, 54549, 51748, 52606, 51748, 52582, 52829, 52161, 51351, 51320, 50834, 57009, 56572, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 57644, 55028, 51525, 54695, 53962, 51640, 51103, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 52875, 52083, 50849, 51525, 71746, 50870, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50849, 69661, 55079, 51525, 54695, 54059, 51857, 50845, 52083, 50910, 52553, 50863, 53341, 50928, 55556, 50983, 54064, 51748, 53496, 51671, 52083, 52411, 50898, 50829, 57009, 64301, 52161, 55926, 52671, 51363, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 60388, 55001, 51525, 54695, 77985, 54075, 51640, 51077, 63192, 61102, 53018, 51190, 53315, 50908, 62250, 53114, 52083, 50865, 51525, 71746, 50863, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50938, 69661, 55079, 51525, 54695, 54059, 51727, 50805, 51827, 52972, 51041, 50863, 53341, 50928, 65718, 51141, 54549, 51671, 52606, 51671, 52582, 52829, 51827, 78060, 50834, 57009, 67722, 52251, 58160, 52083, 51400, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 57644, 54974, 51525, 54695, 53962, 51640, 51077, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 54905, 52671, 52711, 52161, 50938, 51525, 71746, 50870, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 57358, 53784, 55079, 51525, 54695, 54059, 54457, 50849, 52251, 50901, 52553, 50863, 53341, 50928, 51094, 50273, 51295, 54064, 51748, 53496, 51449, 52083, 51003, 51320, 50829, 57009, 56166, 62250, 64336, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 60388, 54974, 51525, 54695, 77985, 54075, 51640, 51077, 63192, 61102, 53018, 51190, 53315, 50908, 62250, 53114, 52083, 50917, 51525, 71746, 50863, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50938, 69661, 55079, 51525, 54695, 54059, 51827, 51654, 51041, 50863, 62250, 50837, 53341, 50928, 55984, 51218, 54549, 51671, 52606, 51449, 52582, 52829, 52161, 51157, 51320, 50834, 57644, 56166, 62250, 61044, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 50928, 57009, 52917, 69661, 50846, 62250, 55028, 51525, 54695, 53962, 51640, 51077, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 52875, 52161, 50845, 51525, 71746, 50870, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 51060, 69661, 55079, 51525, 54695, 54059, 51857, 50845, 52251, 50901, 52553, 50863, 53341, 50928, 55556, 50983, 54064, 51671, 53496, 51449, 52083, 51110, 51320, 50829, 60388, 56572, 62250, 61044, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 62250, 54974, 51525, 54695, 77985, 54075, 51640, 51077, 63192, 61102, 53018, 51190, 53315, 50908, 62250, 52875, 52083, 57358, 71746, 50863, 60388, 50835, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52251, 50938, 69661, 55079, 51525, 54695, 54059, 51727, 50805, 51827, 50897, 52553, 50863, 60388, 50837, 53341, 50928, 65718, 51141, 54549, 51671, 52606, 51671, 52582, 51671, 51827, 50897, 51320, 50834, 57009, 56572, 62250, 53405, 52083, 51346, 51960, 50770, 50285, 53471, 51525, 53802, 52373, 53098, 69661, 50846, 57644, 54956, 51525, 54695, 53962, 51640, 51336, 63192, 61102, 50863, 51570, 60327, 50908, 62250, 52875, 52161, 50849, 51525, 71746, 50870, 60388, 50829, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 50849, 69661, 55079, 51525, 54695, 54059, 54457, 50849, 52251, 51654, 51041, 50863, 53341, 50928, 51094, 50273, 51295, 54064, 51671, 53496, 51671, 52582, 51671, 52083, 51056, 51320, 50829, 60388, 56166, 62250, 60740, 50870, 50770, 50285, 53471, 51525, 53802, 52373, 50928, 60388, 52712, 52083, 51159, 69661, 50846, 62250, 54956, 51525, 54695, 77985, 54075, 51640, 51336, 63192, 61102, 53018, 52083, 50805, 51190, 53315, 50908, 62250, 53114, 51525, 71746, 50863, 60388, 50863, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 51525, 55335, 63078, 51525, 57855, 51525, 52805, 52083, 52476, 50559, 53784, 55079, 52251, 53597, 50559, 54695, 54059, 51827, 51747, 51041, 50863, 53341, 50928, 55984, 51189, 54549, 51748, 52606, 51748, 52582, 52829, 52736, 53201, 53034, 51748, 53608, 53201, 54027, 51998, 53216, 50800, 52708, 50854, 52077, 50810, 52525, 54897, 50898, 50834, 57644, 55138, 62250, 61072, 50870, 50770, 50285, 53471, 53928, 50844, 56212, 54592, 50559, 53802, 52373, 53098, 54027, 51998, 52813, 50905, 54113, 51074, 53216, 50858, 52708, 50812, 52077, 50844, 52525, 50371, 55913, 53784, 50846, 60388, 53943, 51525, 54695, 53962, 51640, 51103, 53928, 50827, 56212, 62730, 50888, 61102, 53018, 54027, 51998, 53216, 50808, 52708, 50812, 52077, 50822, 52525, 50941, 52029, 53315, 50908, 62250, 52986, 51525, 71746, 50870, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 53928, 50822, 56212, 54592, 50559, 55335, 63078, 51525, 57855, 51525, 52805, 54027, 55177, 52813, 50838, 54113, 51166, 53216, 51116, 52708, 51124, 52525, 51203, 69661, 50846, 62250, 55423, 51525, 54695, 54059, 51857, 50845, 52553, 55053, 55830, 51998, 55161, 50810, 54570, 50810, 53216, 53869, 50928, 55556, 50983, 54064, 51748, 53496, 51671, 52072, 51449, 54027, 51998, 54570, 50812, 52708, 50854, 52077, 53197, 50898, 50829, 57644, 55138, 62250, 60740, 50870, 50770, 50285, 53471, 53928, 50874, 56212, 58112, 50559, 53802, 52373, 53098, 54027, 51998, 52813, 50905, 54113, 51166, 54570, 50808, 52708, 50812, 52077, 53597, 50559, 53784, 50846, 60388, 53943, 51525, 54695, 77985, 54075, 51640, 51077, 53928, 50838, 56212, 62730, 50888, 61102, 53018, 54027, 51998, 54570, 50833, 52708, 50812, 52077, 50854, 51190, 53315, 50908, 62250, 52875, 51525, 71746, 50863, 60388, 50825, 50770, 50285, 59513, 51525, 52445, 50446, 51525, 68466, 53928, 50822, 56212, 58112, 50559, 55335, 63078, 51525, 57855, 51525, 52805, 54027, 55177, 52813, 51534, 54113, 51852, 54570, 51116, 52708, 51124, 52077, 51363, 69661, 50846, 62250, 54781, 51525, 54695, 54059, 51727, 51654, 51041, 55053, 55830, 51998, 55161, 50844, 54570, 50874, 53216, 53869, 50928, 65718, 51141, 54549, 51671, 52606, 51671, 52582, 52829, 52398, 51449, 52252, 51671, 53034, 52503, 54027, 51998, 53216, 50812, 52708, 50854, 52525, 53197, 50898, 50834, 57644, 56166, 62250, 61044, 50870, 50770, 50285, 53471, 53928, 50822, 56212, 54592, 50559, 53802, 52373, 53098, 54027, 51998, 53122, 50845, 53020, 51079, 53216, 50812, 52708, 50854, 52525, 52406, 50559, 53784, 50846, 60388, 56609, 51525, 54695, 53962, 51640, 51077, 54313, 50905, 54236, 51432, 63192, 61102, 53018, 54027, 51998, 53928, 51097, 56212, 52011, 53216, 50812, 52708, 50854, 52525, 50854, 52029, 53315, 50908, 62250, 53114, 51525, 71746, 50870, 60388, 50835, 50770, 50285, 59513 ]

[ 0, 250, 8787, 3495, 3152, 15229, 11, 211, 538, 6, 42, 2125, 16, 10, 5797, 990, 1506, 9, 657, 6, 11098, 6, 8, 15352, 30054, 22845, 41708, 6, 19, 12577, 20292, 8, 5679, 26709, 223, 34693, 4, 11281, 33938, 8669, 6, 6755, 12547, 6, 21979, 8, 3459, 29589, 6, 8, 769, 196, 6757, 35810, 561, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 19, 10, 33215, 16739, 9, 272, 6, 274, 10431, 119, 6, 381, 6, 83, 6, 8, 272, 401, 1271, 7, 63, 36355, 2088, 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 ]

[ 56103, 57128, 50791, 50917, 51544, 51174, 51570, 51432, 52320, 51051, 50799, 51229, 50803, 51181, 51184, 59416, 51007, 50901, 52807, 51036, 56007, 52096, 57010, 52121, 51444, 50901, 64629, 51078, 50937, 50947, 51158, 51067, 51100, 50417, 51590, 54681, 51390, 51300, 50423, 51444, 50825, 78772, 51078, 52641, 56955, 51007, 50892, 51444, 51008, 63557, 73776, 78672, 51067, 64388, 52749, 51078, 59817, 55878, 51007, 50844, 51444, 50838, 67293, 72212, 67418, 51067, 51008, 50441, 62765, 51078, 54406, 51229, 50803, 55878, 51007, 50822, 51444, 51008, 71539, 73776, 50947, 50959, 51067, 67168, 51590, 52741, 51390, 50803, 58119, 51078, 51949, 53987, 55878, 62893, 51444, 50886, 50960, 54232, 51590, 50803, 55853, 51007, 50844, 51444, 50862, 78131, 50836, 73062, 51067, 57023, 51229, 52282, 53447, 51184, 56105, 51007, 50810, 52807, 51036, 51444, 50901, 69088, 51078, 50925, 50947, 50938, 51067, 51121, 50423, 56555, 73188, 51444, 50864, 51078, 52872, 55119, 51007, 50901, 51444, 50878, 70497, 51078, 50942, 77457, 51067, 64834, 52749, 58119, 51078, 58721, 51229, 50803, 56955, 51007, 50810, 51444, 51008, 50986, 51058, 64323, 67418, 51067, 60592, 51590, 61032, 51390, 50803, 55878, 51007, 50984, 51078, 54485, 51924, 50802, 55853, 51007, 50901, 51444, 50813, 73248, 72212, 63079, 51067, 58238, 51390, 56491, 50827, 51444, 50822, 50986, 53657, 53987, 55878, 62893, 51078, 50809, 75727, 51067, 58298, 51924, 56548, 64889, 50810, 51444, 50820, 50986, 57187, 51078, 50834, 50799, 51390, 51029, 51181, 51184, 56955, 51007, 50845, 52807, 51036, 51444, 50917, 51311, 50917, 51078, 50897, 51076, 50974, 51067, 55689, 62765, 51007, 58910, 51311, 50863, 51078, 52670, 55853, 51007, 50974, 51444, 50942, 51311, 50925, 77673, 51076, 50933, 51067, 59576, 52749, 62765, 51078, 59817, 55878, 51007, 50974, 51444, 50878, 51311, 50878, 70549, 51076, 51008, 51067, 58927, 51229, 61618, 51590, 50854, 62765, 51444, 50863, 51078, 53027, 51390, 56491, 67917, 51255, 51444, 50878, 51311, 50955, 75655, 51076, 50933, 51067, 56060, 51229, 50803, 61632, 51078, 51949, 53987, 51590, 50859, 56555, 62893, 51444, 50864, 51311, 54232, 51390, 56491, 50827, 51007, 50907, 51444, 50886, 51311, 50886, 51078, 50859, 51076, 50833, 76610, 50799, 51924, 50803, 51181, 51184, 50850, 67917, 50845, 52807, 51036, 51444, 50901, 51131, 50879, 51078, 50878, 70696, 51067, 51111, 50417, 51390, 55446, 51590, 50879, 51078, 58362, 51444, 50870, 51078, 53098, 51229, 51090, 55853, 51007, 51534, 51444, 50905, 51131, 50977, 69605, 67418, 51067, 51101, 50832, 52749, 51078, 58721, 61632, 76525, 51444, 51006, 51131, 50987, 51078, 51008, 50947, 50955, 51067, 53264, 51229, 58746, 51590, 50854, 58119, 51007, 51123, 51131, 50863, 51078, 53325, 51390, 50824, 50850, 63253, 51645, 51444, 50974, 51131, 51101, 66253, 64102, 51067, 58175, 51078, 60348, 53987, 58119, 51007, 50972, 51444, 50886, 51131, 54199, 51229, 61267, 51123, 51078, 50841, 50947, 68561, 54655, 51590, 50859, 56555, 51131, 50941, 50799, 51229, 51029, 51181, 51184, 50850, 71899, 51116, 52807, 51036, 51444, 50873, 74975, 50960, 51100, 74892, 50947, 50952, 51067, 73965, 50850, 54504, 50850, 64108, 50845, 51444, 50977, 51131, 50901, 65813, 51078, 50925, 50947, 50917, 51067, 58214, 52749, 50850, 53720, 55878, 51007, 50892, 51444, 50866, 51131, 50866, 50960, 51058, 51078, 50971, 62458, 51067, 54123, 51664, 53609, 51912, 50859, 51078, 53858, 51322, 50824, 55853, 51007, 51172, 51444, 50854, 51131, 50864, 51078, 50864, 50947, 50942, 51067, 76791, 51078, 53421, 51444, 50810, 51131, 50955, 50960, 59576, 53987, 56955, 51007, 50972, 51078, 55433, 51366, 50802, 51078, 62222, 50809, 51067, 57326, 61632, 51444, 50829, 50960, 50835, 50799, 51322, 51541, 51181, 51184, 55119, 51007, 50845, 52807, 51036, 51444, 50901, 50986, 50879, 51078, 50925, 50947, 50924, 51067, 55099, 50850, 56237, 51007, 50984, 51078, 52872, 55878, 51007, 51363, 51444, 50942, 50986, 50942, 51078, 50840, 78129, 51067, 64834, 52749, 51366, 50803, 62765, 51078, 58721, 51547, 50810, 55878, 51007, 50822, 51444, 50878, 73065, 64323, 67418, 51067, 58866, 51229, 58746, 51590, 50844, 55878, 51007, 50907, 51444, 50834, 50986, 50837, 51078, 54189, 51390, 50824, 50850, 63253, 50845, 51444, 50977, 79740, 51078, 50955, 50947, 50955, 51067, 58460, 62765, 51078, 51949, 53987, 56555, 51007, 50972, 51444, 50855, 50986, 54583, 58119, 51444, 50855, 50986, 50840, 51078, 50887, 50947, 50962, 51067, 50840, 53447, 51184, 50850, 67917, 50845, 52807, 50807, 51444, 50845, 51311, 50845, 51078, 50910, 51076, 51212, 51067, 52864, 51366, 56491, 50912, 51078, 52872, 51322, 50882, 56955, 51007, 50892, 52807, 51161, 51444, 50845, 51311, 50937, 51078, 50897, 51076, 50987, 51067, 64388, 55658, 51912, 52749, 51322, 51090, 50435, 56955, 51007, 50822, 51444, 50978, 51311, 50955, 70549, 51076, 50955, 51067, 78013, 58119, 51444, 50863, 51311, 50870, 51078, 53594, 51912, 50858, 55853, 51007, 50845, 51444, 50942, 51311, 51008, 70549, 51076, 51058, 51067, 67168, 51664, 54721, 51912, 50859, 58119, 51078, 52859, 53987, 51664, 50950, 55878, 51007, 50822, 51444, 50942, 51311, 52863, 52812, 50808, 55878, 51078, 50887, 51076, 50833, 51067, 53793, 51444, 50835, 51311, 50835, 53447, 51184, 50850, 66362, 50901, 52807, 51036, 51444, 51101, 51131, 50805, 51078, 50959, 66906, 51067, 77772, 62765, 51078, 52966, 50850, 51681, 50318, 50905, 51444, 50845, 71494, 51078, 50925, 50947, 50924, 51067, 59145, 54125, 51547, 51653, 56955, 51007, 50974, 51444, 51058, 51131, 50937, 51078, 50959, 67418, 66863, 50441, 58119, 51444, 50863, 51131, 50867, 51078, 54394, 51229, 58857, 50874, 51007, 50838, 51444, 50974, 51131, 50901, 51078, 51008, 50947, 50942, 51067, 55125, 51366, 50993, 62765, 51078, 57296, 53987, 58119, 62893, 51444, 50874, 51131, 61898, 51209, 50993, 50850, 63253, 50974, 75655, 70182, 51067, 50854, 50799, 51322, 51745, 51181, 51184, 59416, 51007, 50901, 52807, 51036, 51444, 50901, 64629, 51078, 50937, 50947, 51158, 51067, 51100, 55822, 59176, 52457, 65393, 51444, 50825, 78772, 51078, 50825, 55822, 53950, 56955, 51007, 50892, 51444, 51008, 63557, 73776, 78672, 51067, 64388, 50812, 52457, 54729, 51078, 51004, 55822, 56535, 55878, 51007, 50844, 51444, 50838, 67293, 72212, 67418, 51067, 51008, 52457, 73824, 62765, 51078, 51004, 55822, 54811, 55878, 51007, 50822, 51444, 51008, 71539, 73776, 50947, 50959, 51067, 50942, 52376, 56762, 52522, 54721, 58119, 51078, 51949, 53987, 55878, 62893, 51444, 50886, 50960, 54232, 55853, 51007, 50844, 51444, 50862, 78131, 50836, 73062, 51067, 50862, 53447, 51184, 56105, 51007, 50810, 52807, 51036, 51444, 50901, 69088, 51078, 50925, 50947, 50938, 51067, 51121, 55822, 59176, 52457, 65393, 56555, 73188, 51444, 50864, 51078, 50870, 55822, 53950, 55119, 51007, 50901, 51444, 50878, 70497, 51078, 50942, 77457, 51067, 64834, 50812, 52457, 54729, 58119, 51078, 50982, 55822, 56535, 56955, 51007, 50810, 51444, 51008, 50986, 51058, 64323, 67418, 51067, 50977, 51652, 73824, 55878, 51007, 50984, 51078, 50928, 52522, 54811, 55853, 51007, 50901, 51444, 50813, 73248, 72212, 63079, 51067, 50955, 52457, 55149, 56555, 51444, 50822, 50986, 53657, 53987, 55878, 62893, 51078, 50809, 75727, 51067, 58298, 55119, 51007, 50810, 51444, 50820, 50986, 57187, 51078, 50834, 53447 ]

[ 0, 250, 2635, 12, 20764, 6, 8787, 15855, 30062, 620, 7085, 2125, 11, 211, 538, 6, 7630, 14805, 10, 25306, 5466, 3820, 19, 4149, 6, 9733, 6, 814, 6, 8, 9066, 2821, 16235, 4, 20, 6755, 12547, 6, 4246, 21711, 1344, 6, 26432, 636, 3938, 22052, 6, 8, 1515, 24496, 6, 1239, 5, 483, 6, 150, 5, 6168, 3540, 3639, 10, 16141, 2236, 7, 5, 15229, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 211, 6, 272, 6, 211, 6, 8, 83, 6, 2351, 10, 1472, 9, 21420, 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 ]

[ 50799, 50619, 50456, 65431, 73877, 52115, 51107, 51631, 51182, 51736, 51558, 51646, 53958, 50807, 53767, 50807, 51946, 50918, 53883, 50918, 66465, 74611, 69961, 57853, 50795, 56511, 65213, 74611, 51107, 54790, 51182, 58350, 74611, 51107, 52510, 66465, 74611, 67837, 57853, 50795, 56511, 59830, 74611, 51107, 59787, 74611, 51107, 52555, 52900, 50807, 56940, 50807, 66465, 51093, 50809, 64884, 50795, 54610, 64751, 51093, 50809, 51266, 57637, 51093, 50809, 51266, 52485, 51301, 50809, 66465, 51284, 50809, 64884, 50795, 54610, 59831, 66465, 51093, 50809, 51182, 53793, 51600, 59107, 66465, 51093, 57747, 51266, 50809, 50799, 52665, 50983, 52601, 50983, 76017, 66465, 79206, 59213, 50795, 56577, 66139, 66465, 51357, 54745, 51107, 60232, 66465, 51357, 52628, 53839, 50795, 53958, 64096, 50809, 66465, 68831, 59213, 50795, 56577, 60010, 66465, 51357, 59474, 66465, 51357, 52329, 53839, 50795, 52614, 64096, 50809, 74821, 59213, 50795, 56577, 64977, 74821, 51113, 57766, 74821, 51113, 52359, 53839, 50795, 52900, 50795, 52601, 50795, 56065, 64096, 50809, 74821, 69401, 59213, 50795, 56577, 57775, 74821, 65269, 51266, 59079, 74821, 65269, 51093, 52444, 53839, 50807, 52900, 50807, 52601, 50807, 56065, 50807, 76017, 74821, 67914, 50440, 74821, 51113, 58344, 74821, 51113, 52510, 76017, 74821, 59213, 50795, 56577, 59830, 74821, 51113, 59787, 74821, 51113, 52555, 52203, 50795, 53958, 50795, 53883, 50795, 61249, 64096, 50809, 76017, 71006, 57853, 50795, 56511, 64751, 66465, 51088, 57637, 66465, 51088, 52485, 66465, 74611, 51600, 59831, 74611, 51107, 59107, 74611, 69401, 63441, 50809, 51600, 50809, 60595, 50416, 51093, 50809, 51266, 50865, 50418, 51093, 52628, 66465, 51088, 50795, 51266, 60010, 51093, 59474, 51093, 52329, 66465, 51266, 50809, 51357, 64977, 74611, 51107, 50865, 50430, 51357, 52359, 66465, 51301, 50795, 51107, 57775, 51357, 59079, 51357, 52444, 51301, 50809, 66465, 72165, 57375, 50795, 56531, 65213, 51301, 50809, 51088, 58344, 51301, 50809, 51088, 52510, 51301, 50809, 66465, 57375, 50795, 56531, 59830, 51301, 50809, 51088, 59787, 51301, 50809, 51088, 52555, 53839, 50807, 52900, 50807, 52601, 50807, 56065, 50807, 74821, 65269, 67914, 59213, 50795, 56577, 64751, 74821, 51113, 57637, 74821, 51113, 52485, 74821, 65269, 59213, 50795, 56577, 59831, 74821, 51113, 59107, 74821, 65269, 50799, 53958, 50807, 52203, 51358, 51946, 50918, 53883, 50918, 76017, 66465, 74681, 57853, 50795, 56511, 66139, 76017, 51088, 59748, 76017, 51088, 52628, 76017, 66465, 57853, 50795, 56511, 60010, 76017, 51088, 59474, 76017, 51088, 52329, 56940, 50807, 51299, 50809, 66465, 66287, 64884, 50795, 54610, 64977, 51299, 50809, 51088, 57766, 51299, 50809, 51088, 52359, 51299, 50809, 66465, 64884, 50795, 54610, 57775, 51299, 50809, 51088, 59079, 51299, 50809, 51301, 52444, 52203, 50807, 52665, 50983, 52601, 50983, 52065, 50809, 76017, 75840, 59213, 50795, 56577, 65213, 52065, 50809, 51251, 58344, 52065, 50809, 51251, 52510, 52494, 50795, 52065, 50809, 76017, 56577, 50795, 54708, 59830, 52065, 50809, 51251, 59787, 52065, 50809, 51251, 52555, 52494, 50795, 53839, 50795, 51883, 50809, 76017, 51491, 50795, 59213, 50795, 56577, 64751, 51301, 50809, 51113, 57637, 66465, 51357, 52485, 53258, 61503, 50809, 51093, 58839, 66465, 51357, 59107, 74821, 65269, 50799, 53020, 67583, 50795, 51357, 52115, 53258, 51631, 57293, 51736, 74006, 51646, 62087, 50800, 66465, 74611, 51088, 50795, 57853, 50795, 56511, 61187, 50619, 50440, 74611, 51107, 54790, 57293, 58350, 74611, 51107, 52510, 50619, 57293, 50807, 66465, 74611, 51088, 59830, 74611, 51107, 59787, 74611, 51107, 52555, 66465, 51093, 50809, 51299, 50795, 64884, 50795, 54610, 64751, 51093, 50809, 51266, 57637, 51093, 50809, 51266, 52485, 50619, 62087, 50809, 51301, 50809, 66465, 51299, 61393, 57293, 58839, 66465, 51093, 53793, 60197, 59107, 55034, 50809, 66465, 51093, 50809, 50799, 50619, 55034, 50800, 76017, 66465, 51251, 50795, 59213, 50795, 56577, 66139, 66465, 51357, 54745, 53258, 60232, 66465, 51357, 52628, 53258, 51091, 76017, 66465, 51251, 60010, 66465, 51357, 59474, 66465, 51357, 52329, 76017, 74821, 51251, 50795, 59213, 50795, 56577, 64977, 74821, 51113, 57766, 74821, 51113, 52359, 76017, 74821, 51251, 57775, 55034, 50809, 74821, 51113, 59079, 52780, 50809, 74821, 51113, 52444, 53258, 64096, 50809, 74821, 56577, 50795, 54708, 65213, 74821, 51113, 58344, 74821, 51113, 52510, 50619, 52780, 50809, 74821, 65269, 51251, 59830, 53258, 50809, 65269, 51600, 53401, 52780, 59787, 65269, 51600, 59248, 53258, 52555, 50619, 53020, 50795, 66465, 51182, 50809, 51088, 50795, 57853, 50795, 56511, 64751, 74611, 51107, 57637, 74611, 51107, 52485, 51951, 50795, 74611, 69401, 51699, 59831, 66465, 51357, 59107, 66465, 74611, 50799, 53058, 50800, 66465, 51093, 50809, 54610, 50795, 53410, 66139, 51301, 50809, 51088, 54745, 52130, 50807, 50418, 51301, 50809, 51088, 52628, 51301, 50809, 66465, 51299, 60010, 66465, 51093, 59474, 66465, 51093, 52329, 66465, 51093, 50809, 51299, 50795, 64884, 50795, 54610, 64977, 51093, 50809, 51266, 54056, 55034, 59545, 50619, 51093, 50809, 51266, 52359, 50619, 52780, 50800, 51093, 50809, 51266, 50809, 51299, 57775, 65269, 51093, 53307, 52142, 58480, 65269, 51093, 52444, 51951, 51091, 66465, 74611, 59213, 50795, 56577, 65213, 74611, 51107, 58344, 74611, 51107, 52510, 74611, 69401, 51251, 59830, 66465, 51357, 59787, 66465, 51357, 52555, 51301, 50809, 65269, 51251, 50795, 56577, 50795, 54708, 64751, 65269, 51107, 54139, 53058, 57924, 65269, 51107, 52485, 51951, 50800, 51093, 50809, 51266, 50809, 51299, 50795, 54610, 50795, 53410, 61393, 50619, 50458, 50619, 51301, 50809, 51088, 53793, 52130, 59342, 50619, 51301, 50809, 51088, 57747, 50619, 50799, 50619, 51967, 64096, 50809, 66465, 52065, 50795, 60842, 50795, 61405, 66139, 66465, 51107, 59748, 66465, 51107, 52628, 52994, 50809, 51299, 50809, 66465, 51299, 50795, 54610, 50795, 53410, 60010, 52130, 50809, 66465, 51093, 59474, 52064, 50809, 66465, 51266, 52329, 53122, 50795, 66465, 69401, 51251, 50795, 56577, 50795, 54708, 64977, 76017, 51088, 57766, 76017, 51088, 52359, 51967, 50809, 51299, 50809, 74821, 51251, 50795, 59213, 50795, 56577, 57775, 52064, 50809, 74821, 51113, 53307, 53122, 59079, 74821, 51093, 58291, 52521, 52444, 50619, 52682, 50807, 53883, 50807, 53883, 50807, 66465, 74611, 51251, 50807, 57853, 50807, 56511, 68647, 52203, 50809, 53958, 50809, 66465, 51357, 58344, 52614, 50809, 52900, 50809, 65269, 51093, 52510, 53958, 50809, 53767, 50809, 74611, 51107, 57993, 52614, 50809, 52900, 50809, 65269, 51093, 59787, 52203, 50809, 53958, 50809, 66465, 51357, 52555, 53839, 50809, 52614, 50809, 52601, 50807, 52601, 50807, 74821, 51113, 63602, 52614, 50809, 52900, 50809, 65269, 51093, 57637, 53958, 50809, 53767, 50809, 74611, 51107, 52485, 52900, 50809, 56940, 50809, 51093, 50809, 51266, 58839, 53958, 50809, 53767, 50809, 74611, 51107, 59107, 52614, 50809, 52900, 50809, 65269, 51093, 50809, 50799, 50619, 52682, 50807, 52203, 50795, 53958, 50795, 51946, 50795, 51946, 50795, 66465, 74611, 57853, 50795, 56511, 66139, 74611, 51107, 59748, 74611, 51107, 52628, 66465, 74611, 51088, 60010, 74611, 51107, 59474, 74611, 51107, 52329, 53020, 50807, 66465, 74611, 51088, 50795, 57853, 50795, 56511 ]

[ 0, 250, 20902, 3495, 2214, 4246, 21979, 8669, 6, 23338, 33518, 1264, 6, 2382, 3459, 8669, 6, 8, 21072, 6, 2351, 41, 17627, 17274, 8, 33558, 5466, 4, 590, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 11, 204, 73, 306, 86, 6, 5, 2125, 16, 278, 11, 5, 762, 9, 83, 538, 8, 22848, 10, 33215, 16739, 9, 1918, 1176, 406, 6, 381, 6, 211, 6, 83, 6, 8, 211, 4, 20, 33928, 34879, 8, 11653, 23338, 293, 146, 24, 41, 5631, 3618, 1349, 13, 2365, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50796, 61627, 50630, 51444, 55247, 53805, 50915, 61894, 51142, 53092, 52821, 50848, 51210, 50935, 51328, 50417, 51078, 51051, 50944, 51470, 57761, 51254, 65125, 50423, 50998, 51051, 50868, 51365, 50935, 53770, 50960, 51277, 66397, 50903, 76978, 51078, 51006, 50868, 65948, 50998, 51212, 50935, 60663, 72212, 50944, 52518, 50438, 51078, 50873, 51076, 67917, 69151, 50960, 60366, 72045, 51076, 51576, 50868, 71106, 51078, 51178, 51007, 68465, 50960, 51824, 64412, 50903, 59835, 51311, 51524, 65125, 50456, 51078, 66362, 73316, 50960, 51123, 74948, 61894, 51142, 51076, 51110, 50848, 51210, 51840, 51328, 50417, 51078, 51051, 50944, 51470, 57761, 51254, 65125, 50423, 50998, 51051, 51076, 51043, 50868, 51365, 51840, 53770, 50960, 51277, 66397, 50903, 54889, 51078, 51006, 50868, 65948, 51076, 50978, 51840, 60663, 50998, 51051, 50944, 52518, 50438, 51076, 51056, 51311, 50889, 52548, 69151, 71539, 50848, 72045, 51078, 64111, 71106, 50960, 51824, 52548, 68465, 51067, 51400, 51131, 50943, 64412, 50903, 58759, 51078, 52034, 65125, 50456, 51311, 51524, 52548, 73316, 50960, 51123, 74948, 73934, 51470, 51076, 51178, 51207, 53259, 50848, 51210, 51439, 51328, 50417, 50929, 51824, 50847, 51470, 57761, 51376, 51042, 75431, 51076, 51233, 50848, 51365, 51439, 53770, 51311, 53680, 50303, 50933, 50903, 76978, 50929, 54558, 50311, 65948, 51076, 50987, 50960, 52347, 50323, 60663, 51311, 52063, 50848, 52518, 50438, 51032, 51177, 51649, 69151, 50929, 51824, 51042, 72045, 50960, 67742, 52059, 50447, 51032, 51177, 51649, 68465, 51311, 60025, 51008, 50903, 59835, 50929, 51824, 50848, 51753, 50456, 51032, 50977, 51649, 73316, 67293, 51042, 51123, 73934, 51470, 51067, 51178, 50848, 51210, 52548, 51328, 50417, 50929, 51824, 50847, 51470, 57761, 51376, 51042, 75431, 51067, 67083, 51365, 52548, 53770, 51311, 53680, 50303, 50933, 50903, 76978, 50929, 54558, 50311, 65948, 51067, 50987, 50960, 52347, 50327, 51174, 50435, 51311, 52063, 50848, 52518, 50438, 51067, 51177, 71888, 52548, 69151, 50929, 51824, 51042, 72045, 50960, 67742, 52034, 50447, 51067, 51177, 52548, 68465, 51311, 51074, 52028, 50943, 64957, 50903, 59835, 50929, 51824, 51042, 72492, 51067, 50977, 52548, 73316, 67293, 69637, 75961, 51470, 51316, 51178, 51574, 51077, 50868, 51210, 51649, 51328, 50417, 50947, 51824, 50850, 78906, 50998, 51376, 51017, 75431, 51316, 51212, 50868, 51365, 51649, 53770, 51317, 53680, 50305, 50933, 50903, 76978, 50947, 77712, 65948, 51316, 50987, 50998, 52347, 50325, 51174, 50435, 51317, 52063, 50868, 52518, 50438, 51076, 51177, 51444, 51003, 51439, 69151, 50947, 51824, 51017, 72045, 50998, 64111, 52034, 50447, 51076, 51177, 51439, 68465, 79208, 53805, 50943, 67071, 50903, 59835, 50947, 51824, 51017, 72492, 51076, 50977, 51439, 73316, 63045, 74948, 54458, 51760, 50897, 51444, 50943, 57724, 50944, 51309, 50850, 51709, 50420, 51760, 50854, 51078, 51051, 50947, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 50944, 51423, 50426, 51760, 50865, 52012, 50981, 50848, 51642, 50850, 51806, 50432, 51971, 50808, 51078, 50984, 79504, 51067, 50933, 50944, 51166, 50903, 55643, 58816, 50436, 51760, 58020, 75548, 69158, 74088, 50439, 51444, 51056, 50444, 51760, 60352, 50912, 51067, 50907, 51078, 50933, 50944, 59355, 57091, 50850, 78814, 79063, 50944, 51337, 50451, 51760, 50925, 52012, 58667, 52678, 50840, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 52678, 50917, 66189, 75016, 60533, 51109, 57724, 50944, 51309, 50850, 51709, 50419, 51760, 54507, 51078, 51051, 50947, 51008, 51067, 51142, 50848, 51432, 50903, 59993, 51760, 63867, 50944, 51423, 50426, 52012, 50981, 50848, 51642, 50850, 51806, 50432, 52678, 50854, 51078, 50984, 79504, 51067, 50933, 50944, 51166, 50903, 55643, 51992, 51215, 50848, 53945, 51444, 60871, 51380, 69158, 74088, 50443, 52678, 52597, 63183, 51067, 50907, 51078, 50933, 50944, 59355, 61334, 51971, 53658, 50850, 78814, 79063, 50944, 51337, 50451, 53805, 51003, 50453, 51760, 54424, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 51760, 50938, 66189, 75016, 57342, 50978, 50944, 51309, 50935, 51709, 50415, 53092, 51056, 50419, 51760, 54402, 51078, 51051, 51076, 51008, 51067, 51142, 50848, 51432, 50903, 59993, 51760, 51095, 50423, 50944, 51423, 50426, 68643, 51312, 50848, 51642, 50935, 51806, 50432, 51971, 50800, 51078, 50984, 51076, 50933, 51067, 50933, 50944, 51166, 50903, 55643, 50848, 53945, 53092, 51312, 75548, 69158, 50935, 51337, 50439, 51971, 60835, 51078, 50933, 51076, 51142, 51067, 51210, 50944, 59355, 63693, 51760, 54417, 77201, 50448, 51760, 52596, 68643, 51312, 79063, 50944, 51337, 50456, 52678, 50855, 51078, 51210, 51076, 50933, 51067, 51142, 50848, 51074, 50903, 57490, 52678, 51060, 66189, 50935, 51123, 50799, 53092, 50915, 57724, 50944, 51309, 50935, 51709, 50420, 51992, 50809, 51078, 51051, 51076, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 50944, 51423, 50424, 51992, 51631, 68643, 60871, 51642, 50935, 51806, 50432, 52678, 50855, 51078, 50984, 51076, 50933, 51067, 50933, 50944, 51166, 50903, 55643, 52678, 50967, 50848, 53945, 51311, 51003, 75548, 69158, 50935, 51337, 50444, 51078, 50933, 51076, 51142, 51067, 51210, 50944, 59355, 61334, 51971, 51159, 50447, 77201, 50450, 51131, 51157, 79063, 50944, 51337, 50456, 51078, 51210, 51076, 50933, 51067, 51142, 50848, 51074, 50903, 62309, 51760, 54093, 66189, 50935, 51123, 61108, 51162, 57724, 50847, 51309, 50935, 51709, 50420, 50929, 51051, 51076, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 66329, 50426, 51444, 51003, 50848, 51642, 50935, 51806, 50432, 71258, 51076, 50933, 51067, 50933, 50847, 51166, 50903, 55643, 50848, 53945, 51992, 51157, 51207, 51159, 75548, 63955, 50935, 51337, 50444, 65423, 51076, 51142, 51067, 51210, 50847, 59355, 57091, 77201, 50450, 52678, 51157, 52028, 51056, 79063, 71032, 50456, 50929, 51210, 51076, 50933, 51067, 51142, 50848, 51074, 50903, 57490, 57578, 50935, 51123, 76139, 50807, 51574, 50914, 71988, 50868, 51309, 50847, 51709, 50850, 51709, 50420, 50998, 51051, 50947, 51008, 51316, 51142, 51017, 51432, 50903, 56037, 71359, 50426, 51760, 72067, 51642, 50850, 51806, 50847, 51709, 50427, 51444, 51177, 50429, 52840, 54259, 50998, 51365, 51316, 50933, 50947, 51006, 53805, 55501, 51166, 50903, 55643, 51760, 51157, 51017, 53945, 75548, 69158, 74088, 50439, 51444, 51417, 50444, 51078, 50933, 50947, 51142, 51067, 51210, 50944, 59355, 57091, 50850, 78814, 52012, 51412, 79063, 50944, 51337, 50456, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 66189, 75016, 68093, 50812, 51444, 50943, 57724, 50944, 51309, 50850, 51709, 50418, 51760, 65739, 51078, 51051, 50947, 51008, 51067, 51142, 50848, 51432, 50903, 56037, 50944, 51423, 50426, 51760, 50865, 52012, 50981, 50848, 51642, 50850, 51806, 50432, 51971, 50840, 51078, 50984, 79504, 51067, 50933, 50944, 51166, 50903, 55643, 58816, 50436, 51971, 73320, 75548, 69158, 74088, 50439, 51444, 51056, 50444, 51760, 60352, 50912, 51067, 50907, 51078, 50933, 50944, 59355, 57091, 51760, 54954, 78814, 79063, 50944, 51337, 50451, 52012, 58667, 52678, 50840, 51078, 51210, 79504, 51067, 51142, 50848, 51074, 50903, 57490, 52678, 50917, 66189, 75016, 60533, 51109, 57724, 50944, 51309, 50850, 51709, 50419, 51760, 54507 ]

[ 0, 250, 765, 15855, 2125, 11, 230, 538, 6, 4246, 10, 12280, 3275, 1725, 3109, 8, 32017, 6, 7630, 14805, 10, 32076, 8, 15352, 30054, 5466, 20455, 9, 822, 930, 4, 590, 10, 231, 73, 398, 86, 6543, 8, 41, 12447, 1001, 20889, 6, 24, 3136, 149, 10, 33215, 16739, 9, 272, 6, 211, 6, 3676, 6, 1918, 406, 6, 8, 211, 6, 2351, 10, 1109, 18948, 8, 12298, 6711, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51540, 50630, 56126, 51803, 52550, 51878, 52740, 51878, 52049, 52168, 50438, 53296, 51576, 52573, 78814, 56126, 51295, 53249, 51878, 52550, 51878, 52242, 51749, 50468, 56326, 50901, 50474, 60060, 50943, 53029, 51484, 53296, 51484, 52443, 51775, 51540, 61557, 51486, 53571, 51803, 53249, 51381, 51975, 51742, 50432, 52550, 60465, 53249, 52335, 50450, 61557, 51115, 53571, 51742, 52242, 51679, 50468, 60588, 50873, 52443, 51006, 50474, 66105, 50943, 51975, 51775, 51540, 60588, 51183, 53296, 51448, 52573, 51448, 52443, 79218, 61557, 50981, 53571, 52188, 52242, 52188, 50450, 60060, 51310, 52550, 51749, 52740, 51749, 52049, 51679, 50468, 56326, 50845, 52292, 51006, 50474, 60060, 51003, 53571, 52335, 52049, 51775, 51540, 61557, 52821, 53249, 51679, 52292, 55844, 50432, 52550, 56480, 53249, 52335, 50450, 53571, 51742, 51540, 50630, 56126, 51803, 52550, 51448, 52740, 51448, 52049, 52015, 50438, 53296, 52188, 52573, 52188, 50450, 56126, 51115, 53249, 51749, 52550, 51749, 52242, 51749, 50468, 56326, 50873, 50474, 60060, 50914, 53029, 51484, 53296, 51484, 52443, 51484, 51540, 61557, 51486, 53571, 51742, 53249, 51381, 51975, 52015, 50432, 52550, 56480, 53249, 52062, 50450, 61557, 51295, 53571, 51452, 52242, 51381, 50468, 60588, 50873, 52443, 51058, 50474, 66105, 50943, 51975, 51775, 51540, 60588, 51047, 53296, 51749, 52573, 51749, 52443, 52263, 50438, 61557, 50981, 53571, 52188, 52242, 78814, 60060, 51477, 52550, 51749, 52740, 51749, 52049, 51679, 50468, 56326, 50892, 52292, 51174, 50474, 60060, 50981, 53571, 53142, 52049, 51484, 51540, 61557, 53651, 53249, 51679, 52292, 54249, 50432, 52550, 71113, 53249, 53142, 50450, 53571, 51742, 50474, 60588, 51377, 51540, 66105, 51675, 52550, 53478, 52242, 51803, 51975, 51803, 50432, 52573, 56480, 52740, 51775, 50450, 66105, 51295, 52292, 51803, 52242, 51742, 52342, 51391, 50468, 60588, 50845, 52416, 51006, 50474, 61557, 51253, 52044, 51775, 51540, 60588, 53651, 52550, 52826, 51975, 53454, 52416, 54143, 50438, 53029, 52151, 50450, 55411, 51803, 50474, 60588, 50915, 52416, 51484, 51540, 60060, 51318, 52740, 51803, 52049, 52826, 51975, 51961, 50432, 61557, 50901, 52044, 60465, 60588, 51056, 52416, 79771, 60588, 51115, 52550, 52783, 52416, 51381, 50468, 61557, 50892, 52044, 51254, 50474, 60060, 50981, 51975, 51576, 51540, 56326, 54143, 53029, 53413, 52049, 51391, 52049, 53082, 52797, 53233, 50432, 52292, 56480, 52740, 75756, 52573, 51749, 50474, 60060, 51003, 52550, 51484, 51975, 51775, 51540, 61557, 51295, 53571, 52263, 52292, 51803, 52242, 51961, 50432, 60588, 50901, 52443, 60676, 61557, 51003, 53571, 51576, 52242, 75756, 60060, 51145, 52550, 51627, 52740, 51742, 52049, 52263, 50474, 56126, 51097, 52550, 51484, 52242, 51484, 51540, 56326, 51318, 53296, 51749, 52292, 51452, 52443, 51542, 50432, 60060, 50849, 51975, 56480, 61557, 50914, 53296, 51576, 52044, 51775, 50450, 60060, 51047, 52550, 51627, 52242, 51562, 51975, 51627, 50474, 56126, 50981, 52550, 51576, 52242, 52188, 51540, 56326, 51183, 52573, 51749, 52292, 52015, 52443, 51535, 50438, 56126, 50915, 52573, 51484, 52242, 75756, 62611, 51310, 53029, 52263, 52573, 51803, 52049, 51878, 50468, 55775, 50892, 50474, 62611, 50981, 53029, 52015, 52049, 51576, 51540, 56126, 53380, 55411, 51803, 52740, 52919, 51975, 53487, 50432, 52550, 60465, 53029, 52335, 50450, 55411, 51742, 50474, 60588, 51112, 51540, 66105, 51591, 52550, 53478, 52242, 51591, 51975, 52015, 50432, 52573, 60676, 52740, 79771, 66105, 51295, 52292, 52015, 52242, 51742, 52342, 51419, 50468, 60588, 50845, 52416, 51006, 50474, 61557, 51109, 52044, 51576, 51540, 60588, 53380, 52550, 53849, 51975, 52644, 52416, 54143, 50438, 53029, 52151, 50450, 55411, 52015, 50474, 60588, 50915, 52416, 51484, 51540, 60060, 51477, 52740, 52015, 52049, 53478, 51975, 51961, 50432, 61557, 50901, 52044, 60465, 60588, 51159, 52416, 51775, 50450, 60588, 51295, 52550, 52168, 52416, 51542, 50468, 61557, 50905, 52044, 51174, 50474, 60060, 50995, 51975, 51576, 51540, 56326, 54143, 53029, 53082, 52049, 51134, 52049, 53082, 52797, 54249, 50432, 52292, 56480, 52740, 75756, 52573, 51749, 50474, 60060, 50943, 52550, 51484, 51975, 51775, 51540, 61557, 51189, 53571, 51878, 52292, 51742, 52242, 51961, 50432, 60588, 50901, 52443, 56480, 61557, 50915, 53571, 51484, 52242, 78814, 60060, 51145, 52550, 51535, 52740, 51742, 52049, 51878, 50474, 56126, 51097, 52550, 51576, 52242, 51775, 51540, 56326, 51318, 53296, 51627, 52292, 51790, 52443, 51542, 50432, 60060, 50849, 51975, 56480, 61557, 50889, 53296, 51484, 52044, 79771, 60060, 51047, 52550, 51749, 52242, 51562, 51975, 51627, 50474, 56126, 50995, 52550, 51576, 52242, 52188, 51540, 56326, 51145, 52573, 51627, 52292, 52015, 52443, 51749, 50438, 56126, 50915, 52573, 51484, 52242, 78814, 62611, 51318, 53029, 51878, 52573, 51803, 52049, 51878, 50468, 55775, 50845, 50474, 62611, 51003, 53029, 55482, 52049, 51775, 51540, 56126, 52821, 52550, 53478, 52740, 52919, 51975, 53753, 50450, 55411, 51452, 51540, 50630, 56126, 51742, 52550, 51749, 52740, 51749, 52049, 52168, 50438, 53296, 51775, 52573, 51775, 50450, 56126, 51115, 53249, 51627, 52550, 51627, 52242, 51749, 50468, 56326, 50901, 50474, 60060, 50943, 53029, 51484, 53296, 51484, 52443, 51775, 51540, 61557, 51486, 53571, 51803, 53249, 51542, 51975, 51680, 50432, 52550, 60465, 53249, 52062, 50450, 61557, 51115, 53571, 51452, 52242, 51679, 50468, 60588, 50849, 52443, 51058, 50474, 66105, 50943, 51975, 51484, 51540, 60588, 51047, 53296, 51749, 52573, 51749, 52443, 51878, 50438, 61557, 50981, 53571, 52188, 52242, 75756, 60060, 51318, 52550, 51749, 52740, 51749, 52049, 51381, 50468, 56326, 50905, 52292, 51174, 50474, 60060, 50981, 53571, 53142, 52049, 51480, 51540, 61557, 52821, 53249, 51679, 52292, 55844, 50432, 52550, 56480, 53249, 54171, 50450, 53571, 51742, 51540, 50630, 56126, 51803, 52550, 51749, 52740, 51749, 52049, 52015, 50438, 53296, 51484, 52573, 75756, 56126, 51115, 53249, 51878, 52550, 51878, 52242, 51749, 50468, 56326, 50901, 50474, 60060, 50943, 53029, 51484, 53296, 51484, 52443, 51775, 51540, 61557, 51538, 53571, 51452, 53249, 51679, 51975, 52015, 50432, 52550, 60676, 53249, 52062, 50450, 61557, 51295, 53571, 51742, 52242, 51381, 50468, 60588, 50849, 52443, 51006, 50474, 66105, 51003, 51975, 51775, 51540, 60588, 51145, 53296, 51535, 52573, 51535, 52443, 51878, 50438, 61557, 50981, 53571, 51576, 52242, 51775, 50450, 60060, 51318, 52550, 51749, 52740, 51749, 52049, 51381, 50468, 56326, 50892, 52292, 51254, 50474, 60060, 50915, 53571, 53142, 52049, 51480, 51540, 61557, 53380, 53249, 51679, 52292, 53233, 50432, 52550, 70448, 53249, 53588, 50450, 53571, 51742, 50474, 60588, 51346, 51540, 66105, 51675, 52550, 53478, 52242, 51591, 51975, 51742, 50432, 52573, 60465, 52740, 51775, 50450, 66105, 51218, 52292, 51803, 52242, 51452, 52342, 51391, 50468, 60588, 50845, 52416, 51174, 50474, 61557, 51109, 52044, 51576, 51540, 60588, 53651, 52550, 53849, 51975, 52644, 52416, 53233, 50438, 53029, 52151, 50450, 55411, 51742, 50474, 60588, 51003, 52416, 51480, 51540, 60060, 51295, 52740, 52015, 52049, 52826, 51975, 51961, 50432, 61557, 50901, 52044, 60465, 60588, 51159, 52416, 75756, 60588, 51295, 52550, 51680, 52416, 51381, 50468, 61557, 50905, 52044, 51006 ]

[ 0, 250, 182, 1769, 12, 20764, 15855, 2125, 6, 42, 765, 2214, 16, 3820, 19, 10, 1472, 9, 9066, 9733, 6, 6683, 14756, 13, 10, 822, 19834, 4, 20, 6755, 12547, 6, 32909, 6, 3551, 139, 6, 17035, 873, 2401, 6, 8, 2342, 4467, 283, 561, 7, 1045, 10, 5386, 8, 814, 12, 21330, 15229, 11, 12608, 538, 6, 19, 10, 881, 4327, 9, 5, 33215, 16739, 2060, 401, 6, 12608, 6, 230, 119, 6, 12608, 6, 8, 211, 119, 406, 428, 245, 73, 347, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50639, 51375, 50867, 51629, 50809, 55403, 50844, 57980, 50827, 51431, 50835, 52264, 50855, 53542, 50827, 55515, 53988, 53213, 51431, 50820, 51641, 60776, 51093, 50813, 51395, 50809, 52480, 58116, 51641, 63339, 51093, 50857, 51395, 50809, 52480, 51126, 51431, 72375, 54959, 53450, 51093, 50813, 51629, 50809, 58240, 50827, 51431, 50834, 52264, 50809, 54461, 50942, 53121, 65469, 51673, 51126, 54051, 72925, 51335, 52119, 51395, 50813, 51394, 50809, 52336, 50857, 51641, 58406, 52480, 50928, 53809, 75753, 55403, 50844, 57980, 50827, 52629, 50809, 52264, 50818, 53542, 50942, 55515, 55395, 51629, 50813, 51304, 59586, 53809, 51022, 52480, 51851, 51641, 50809, 52336, 54400, 51395, 50867, 51394, 59787, 53121, 66429, 54959, 50844, 58240, 50827, 51431, 50813, 52264, 50809, 54461, 53597, 50588, 53798, 51093, 50857, 51629, 50809, 54051, 51126, 51673, 51297, 50455, 51641, 50855, 52336, 54583, 51394, 50809, 51395, 50810, 52480, 51126, 53809, 51123, 50460, 53542, 73562, 55403, 50844, 57980, 50827, 52629, 50809, 52264, 50809, 55515, 50859, 50799, 51629, 50813, 51304, 56025, 54635, 50864, 54051, 63339, 51335, 57615, 54959, 50844, 51431, 50813, 52264, 50800, 54461, 50854, 53121, 54818, 51093, 50857, 51629, 50809, 58240, 50827, 54051, 51022, 51673, 75753, 51431, 51127, 52264, 50918, 53542, 50854, 55515, 55395, 51093, 51397, 51629, 50918, 55403, 62090, 57980, 50827, 54051, 51314, 51673, 52440, 50449, 54461, 50854, 53121, 50383, 53692, 53798, 54959, 50844, 58240, 50827, 50799, 55403, 50844, 53542, 50942, 55515, 67694, 57980, 50933, 50419, 51093, 53299, 51641, 50809, 51431, 58592, 51395, 58741, 52480, 50908, 51641, 55754, 51093, 50863, 51431, 61599, 51395, 50809, 52480, 51297, 50425, 51093, 50857, 53121, 50383, 53692, 51973, 79432, 54959, 50844, 58240, 50827, 51431, 50834, 52264, 50809, 54461, 60950, 54051, 50886, 51673, 53962, 51395, 50813, 72552, 51641, 50818, 52336, 57201, 52480, 51258, 53809, 75753, 55403, 50844, 53542, 54181, 51629, 50813, 51304, 50800, 57980, 50827, 52629, 50855, 52264, 50841, 55515, 71647, 54051, 50864, 54635, 51126, 50443, 51394, 52510, 51395, 50864, 52336, 50862, 51641, 58500, 52480, 51128, 53809, 51126, 50449, 51093, 50857, 51629, 50809, 54959, 50844, 58240, 50827, 54461, 53140, 54051, 51128, 51673, 51128, 51431, 50855, 52264, 50857, 53121, 66280, 51335, 59730, 51395, 50813, 51394, 50809, 51641, 59593, 52480, 51004, 53809, 51128, 52336, 59700, 51629, 50857, 51304, 50800, 55403, 50844, 57980, 50827, 52629, 50812, 53542, 50942, 55515, 50887, 50799, 54635, 50864, 54051, 50829, 52264, 58067, 51093, 50857, 51629, 50809, 54959, 50844, 58240, 50827, 53121, 50383, 53692, 51973, 54051, 50827, 51673, 51126, 51431, 50809, 52264, 50808, 54461, 63443, 55403, 50844, 57980, 52788, 79629, 51629, 50918, 54051, 51318, 51673, 53280, 51431, 50983, 52264, 50983, 53542, 50844, 55515, 66429, 54959, 50844, 58240, 52989, 54461, 50854, 53121, 50383, 53692, 56771, 55403, 50844, 57980, 50933, 50799, 55515, 67694, 53542, 54351, 51488, 50813, 51201, 50809, 52061, 50857, 51509, 57240, 51509, 50813, 52061, 54951, 51488, 50834, 51201, 50809, 52604, 51129, 52171, 58964, 51488, 50813, 54959, 50844, 58240, 50827, 52604, 50904, 53809, 50864, 54461, 50810, 53121, 54818, 51394, 50809, 52061, 50864, 52336, 50376, 53692, 52119, 51201, 50867, 51304, 50809, 52171, 51126, 54635, 50971, 52629, 50855, 51509, 63120, 55403, 50844, 57980, 62551, 53809, 50907, 53542, 50942, 55515, 55395, 51488, 50813, 51394, 50809, 52604, 50971, 52061, 50864, 52336, 54305, 51093, 50857, 51201, 50809, 52171, 50864, 51673, 50971, 51431, 50864, 51509, 66185, 54959, 64913, 51488, 50809, 58240, 50827, 52604, 50941, 51827, 51000, 51723, 50864, 52061, 50857, 54461, 50844, 53121, 50383, 53692, 52116, 51165, 62802, 51201, 50836, 52171, 50904, 51673, 50891, 51431, 50886, 51509, 54199, 51093, 63298, 55403, 65922, 72552, 57980, 50827, 52604, 50941, 53809, 50971, 52061, 50857, 52336, 50855, 53542, 50854, 55515, 50887, 50799, 51488, 63315, 52171, 50971, 51673, 50971, 51509, 50864, 51431, 55772, 51093, 50886, 51201, 58067, 54959, 50857, 52604, 51126, 51827, 51004, 54461, 50854, 53121, 50383, 53692, 53537, 51165, 50867, 51488, 50809, 58240, 50827, 51723, 50891, 52061, 62627, 70708, 51673, 50982, 52171, 50941, 51431, 50867, 51509, 54860, 51093, 65219, 55403, 50844, 55515, 55395, 51488, 51397, 51394, 50918, 57980, 50827, 52604, 51080, 53809, 51080, 52061, 51291, 52336, 51417, 53542, 76078, 54959, 50857, 53121, 50383, 53692, 52116, 58240, 50827, 54461, 64098, 55403, 50844, 50799, 57980, 50827, 53542, 50854, 55515, 67237, 51093, 50820, 51431, 50855, 51641, 53420, 51395, 50818, 52480, 50825, 51673, 58409, 51093, 50835, 51395, 50813, 52480, 51000, 51641, 63339, 51093, 60811, 79432, 54959, 50857, 58240, 50827, 51673, 51126, 54051, 50864, 51431, 51000, 53121, 50383, 53692, 51973, 52264, 50809, 54461, 66113, 51395, 50813, 51394, 50836, 52480, 51000, 53809, 50941, 51641, 52927, 52336, 62439, 57980, 62551, 51093, 50857, 51629, 50809, 55403, 50844, 54051, 50941, 51673, 50837, 52264, 50809, 55515, 55395, 51431, 50857, 53542, 75636, 51165, 50857, 51395, 50809, 51827, 50870, 52480, 50904, 51723, 54305, 51641, 65807, 58240, 65311, 51375, 50813, 51093, 50809, 54959, 50844, 52251, 50891, 51673, 50904, 51431, 50857, 52211, 50867, 54461, 50854, 53121, 50383, 53692, 58403, 51165, 50857, 69926, 52480, 50864, 51827, 50908, 51723, 50857, 51641, 60870, 65203, 79432, 55403, 50844, 57980, 50827, 51673, 50971, 54051, 51126, 52264, 50809, 51431, 50837, 53542, 50854, 55515, 50887, 53069, 51827, 50891, 52480, 51000, 51723, 50904, 51641, 53299, 51165, 50863, 51395, 59474, 51335, 57615, 54959, 50844, 58240, 50827, 52251, 51126, 51673, 50941, 52211, 50813, 51431, 50855, 54461, 50854, 53121, 54818, 51375, 50813, 51093, 58607, 51395, 50855, 51827, 50908, 52480, 51000, 51723, 50857, 51641, 54854, 51165, 61360, 51629, 50918, 55403, 50844, 57980, 50827, 54051, 51244, 51673, 51080, 51431, 51077, 52264, 50918, 55515, 55395, 51093, 51397, 53542, 65261, 53121, 53409, 54959, 50844, 58240, 50827, 54461, 50378, 53692, 56628, 51335, 50823, 50799, 55724, 52071, 53121, 50884, 77722, 51112, 50778, 50284, 51112, 50778, 50285, 51112, 50778, 50289, 51112, 50415, 56815, 52062, 55120, 50825, 54461, 52069, 50416, 53121, 69736, 53121, 53576, 51093, 50813, 51395, 50809, 52480, 50870, 51673, 50971, 51431, 50855, 51641, 50834, 53121, 63630, 52314, 73435, 51395, 53467, 51165, 50982, 51093, 50813, 52480, 50971, 51641, 50904, 53121, 63501, 53121, 62239, 51629, 51620, 51093, 50813, 54051, 50904, 51673, 50908, 51431, 50857, 52264, 50840, 53121, 56171, 52314, 51129, 53121, 56710, 53121, 63519, 53121, 56999, 72552, 52480, 60838, 51395, 50813, 53809, 50864, 51641, 50834, 52336, 50840, 53121, 61251, 53121, 55486, 53121, 63061, 53121, 59653, 51304, 50809, 54635, 50941, 54051, 50971, 53121, 53418, 51629, 50810, 52629, 50862, 52264, 62255, 53121, 53988, 50817, 53012, 58772, 51394, 51907, 52267, 51395, 50857, 52480, 50864, 53809, 50864, 51641, 50862, 52336, 50840, 64614, 50817, 53526, 50817, 57471, 58977, 51629, 50809, 51673, 51297, 54051, 51000, 51431, 50867, 52264, 52467, 52568, 51093, 50857, 57688, 50817, 53061, 50817, 55350, 57859, 72552, 52480, 50864, 53809, 50886, 51641 ]

[ 0, 713, 17627, 17274, 3495, 2214, 6, 278, 11, 10, 2216, 316, 73, 1549, 86, 6543, 6, 1931, 21683, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 20, 3459, 8669, 6, 13305, 6, 3152, 6757, 6, 2370, 21305, 6, 8, 36075, 8669, 35810, 561, 7, 1045, 41, 11653, 2369, 18795, 4, 2285, 63, 2635, 20889, 6, 5, 2125, 11498, 10, 1472, 9, 556, 4298, 6, 10346, 30, 5, 16331, 33215, 16739, 9, 381, 6, 83, 6, 163, 406, 6, 381, 6, 8, 83, 11, 5, 762, 9, 381, 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 ]

[ 61791, 50438, 51288, 54790, 52529, 58726, 52294, 52555, 52874, 54139, 52874, 52485, 52874, 53793, 52375, 50830, 52177, 52294, 52628, 52874, 53467, 52874, 52329, 52874, 54056, 52375, 57907, 52294, 50809, 51350, 50809, 51781, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 51232, 50809, 51512, 50809, 79879, 51489, 50809, 52461, 50809, 55209, 50809, 55981, 50809, 51914, 50809, 51953, 50809, 52333, 52444, 51622, 50809, 51350, 50809, 51350, 50967, 51781, 50809, 51781, 50967, 51630, 50809, 52395, 50809, 55320, 50809, 51232, 50809, 51232, 50967, 51512, 50809, 51512, 50967, 79879, 51489, 50809, 52461, 50809, 55209, 50809, 55209, 50967, 55981, 50809, 55981, 50967, 51914, 50809, 51953, 50809, 52333, 54790, 51634, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 52510, 51288, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 53401, 73650, 51350, 50809, 51350, 50967, 51781, 50809, 51781, 50967, 51630, 50809, 52395, 50809, 55320, 50809, 51232, 50809, 51232, 50967, 51512, 50809, 51512, 50967, 79879, 51489, 50809, 52461, 50809, 55209, 50809, 55209, 50967, 55981, 50809, 55981, 50967, 51914, 50809, 51953, 50809, 52333, 52555, 51529, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 54139, 51344, 50809, 51630, 50809, 52395, 50809, 55320, 50809, 58267, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 52485, 51219, 50967, 51350, 50809, 51350, 50967, 51781, 50809, 51781, 50967, 51630, 50830, 52395, 50830, 55320, 50830, 65049, 50830, 51232, 50809, 51232, 50967, 51512, 50809, 51512, 50967, 51275, 50830, 79318, 52461, 50830, 55209, 50809, 55209, 50967, 55981, 50809, 55981, 50967, 51914, 50830, 51953, 50830, 52333, 50830, 50799, 51630, 50809, 52395, 50809, 55320, 50809, 56588, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 54745, 51350, 50830, 51350, 50967, 51781, 50830, 51781, 50967, 51630, 50830, 52395, 50830, 55320, 50830, 65049, 50830, 51232, 50830, 51232, 50967, 51512, 50830, 51512, 50967, 51275, 50830, 79318, 52461, 50830, 55209, 50830, 55209, 50967, 55981, 50830, 55981, 50967, 51914, 50830, 51953, 50830, 52333, 58218, 51630, 50809, 52395, 50809, 55320, 50809, 58267, 50809, 79879, 51489, 50809, 52461, 50809, 51914, 50809, 51953, 50809, 52333, 52329, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 51091, 62724, 51091, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 54372, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 53307, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 67007, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52510, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 51091, 62724, 51091, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 53484, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 54139, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 57814, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 50809, 50799, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 55587, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 53467, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 63395, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 65049, 50809, 62724, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52359, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 50830, 62724, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 53402, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 56334, 50830, 62724, 50830, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 54790, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 54630, 56588, 50830, 62724, 58726, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52555, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 52475, 50967, 65049, 50830, 62724, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 54896, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 58267, 51091, 62724, 51091, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 53793, 51265, 50967, 51350, 50967, 51355, 50830, 52459, 50830, 52395, 50830, 54010, 50830, 51708, 50967, 51232, 50967, 79408, 51777, 50830, 79318, 51578, 50830, 57523, 50967, 55209, 50967, 52949, 50830, 53245, 50830, 51953, 50830, 51617, 50830, 52177, 51350, 73472, 50809, 52459, 50809, 52395, 50809, 54010, 50809, 51232, 50809, 51119, 50809, 51777, 50809, 51489, 50809, 51578, 50809, 55209, 50809, 52949, 50809, 53245, 50809, 51953, 50809, 51617, 52628, 51265, 50967 ]

[ 0, 250, 33928, 1619, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 21979, 8669, 6, 21072, 6, 9590, 6, 8, 24896, 4, 20, 33301, 16, 702, 23, 10, 7212, 20889, 11, 5, 762, 9, 12608, 538, 6, 19, 10, 5705, 16331, 33215, 16739, 9, 163, 428, 406, 6, 12608, 6, 8, 2060, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 2214, 1375, 552, 11844, 6, 2351, 10, 32076, 8, 2365, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 79152, 70354, 56179, 51093, 51073, 51846, 51294, 50986, 51294, 51136, 51294, 50876, 71827, 51294, 50900, 51294, 50956, 51294, 51522, 51294, 50432, 51093, 57253, 55122, 51488, 51073, 51246, 51294, 51317, 51294, 50929, 51294, 51028, 73569, 51294, 51040, 51294, 50956, 51294, 50861, 51294, 51261, 51294, 50450, 51488, 63681, 55416, 51395, 50879, 50986, 51294, 51136, 51294, 51169, 51294, 51001, 60867, 51294, 50956, 51294, 50965, 51294, 51150, 51294, 51540, 51395, 51472, 51001, 51472, 50438, 51846, 51896, 50986, 51896, 51136, 51896, 51176, 51896, 50900, 51896, 50956, 51896, 51522, 51896, 50462, 51395, 51073, 51001, 51073, 50474, 51201, 51073, 51317, 51896, 50970, 51896, 51169, 51896, 50931, 75350, 51896, 50871, 51896, 50965, 51896, 51868, 51896, 51540, 51201, 51472, 50931, 51472, 50438, 51629, 51472, 51504, 51896, 51846, 51896, 51317, 51896, 51147, 51472, 51050, 51896, 51176, 51896, 51040, 51896, 51140, 51896, 50462, 51629, 51073, 51147, 51073, 50474, 51395, 51655, 51846, 51896, 50986, 51896, 51136, 51896, 51176, 51896, 50900, 51896, 50956, 51896, 51001, 51655, 51522, 51896, 51474, 50438, 51846, 51896, 50986, 51896, 51136, 51896, 51176, 51896, 50900, 51896, 50956, 51896, 51522, 51896, 50474, 51629, 51472, 51846, 51896, 50986, 51896, 51136, 51896, 51147, 51472, 51176, 51896, 50900, 51896, 50956, 51896, 51522, 51896, 75196, 51395, 51073, 51001, 69052, 51488, 51472, 51504, 51896, 51131, 51896, 51136, 51896, 51028, 51472, 51050, 51896, 51027, 51896, 50956, 51896, 51140, 51896, 50462, 51093, 64217, 50474, 51165, 51073, 51246, 51896, 51317, 51896, 50906, 73569, 51896, 51040, 51896, 51261, 51896, 51540, 51201, 52392, 50931, 52392, 50438, 53805, 51896, 51504, 51896, 51246, 51896, 51360, 51896, 51050, 51896, 50997, 51896, 52318, 51896, 50462, 51201, 51073, 50931, 51073, 50474, 51629, 51472, 52562, 51896, 51846, 51896, 50986, 51896, 51147, 51472, 51197, 51896, 51176, 51896, 50900, 51896, 51560, 51896, 75196, 51165, 66562, 69052, 51093, 51073, 52562, 51896, 51207, 51896, 51317, 51896, 50876, 51073, 51197, 51896, 51026, 51896, 51040, 51896, 51560, 51896, 50450, 51165, 51472, 50906, 51472, 50474, 51375, 51896, 51846, 51896, 50986, 51896, 51176, 51896, 50900, 51896, 50965, 51896, 51522, 51896, 51474, 50436, 50986, 50918, 50437, 51136, 51413, 50438, 51169, 51417, 51503, 51472, 50900, 51472, 50956, 51472, 50965, 51472, 51522, 51472, 50804, 50884, 51382, 53685, 50804, 79611, 53777, 58668, 53347, 50884, 50474, 53250, 51472, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 53150, 53250, 68761, 51361, 53418, 55343, 51472, 51136, 51896, 50929, 51896, 51316, 51896, 51234, 51896, 50997, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51261, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 55343, 58668, 53347, 50884, 50474, 53777, 51073, 51136, 51896, 51169, 51896, 51549, 51896, 51085, 51896, 50900, 51896, 50956, 51896, 50965, 51896, 51001, 51896, 51150, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53777, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53777, 58668, 53347, 50884, 50474, 53407, 51073, 50970, 51896, 51169, 51896, 51316, 51896, 51360, 51896, 51040, 51896, 50871, 51896, 50965, 51896, 51028, 51896, 51868, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53407, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53863, 51472, 50970, 51896, 51169, 51896, 51316, 51896, 51360, 51896, 51040, 51896, 50871, 51896, 50965, 51896, 51028, 51896, 51868, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53407, 58668, 53347, 50884, 50474, 53777, 51896, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53777, 58668, 53347, 50884, 50474, 53777, 51073, 51136, 51896, 50929, 51896, 51316, 51896, 51234, 51896, 50997, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51261, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 55343, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53777, 51472, 51136, 51896, 50929, 51896, 51316, 51896, 52046, 51896, 51197, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51560, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 55343, 58668, 53347, 50884, 50474, 55343, 51073, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53250, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53250, 58668, 53347, 50884, 50474, 54414, 51073, 50960, 51896, 51169, 51896, 51064, 51896, 51234, 51896, 50997, 51896, 50899, 51896, 50871, 51896, 50965, 51896, 50906, 51896, 51261, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 54414, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53250, 51472, 50960, 51896, 51169, 51896, 51064, 51896, 51234, 51896, 50997, 51896, 50899, 51896, 50871, 51896, 50965, 51896, 50906, 51896, 51261, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 54414, 58668, 53347, 50884, 50474, 54414, 51655, 51136, 51896, 50929, 51896, 51064, 51896, 52046, 51896, 51197, 51896, 50956, 51896, 50861, 51896, 50906, 51896, 51560, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 51136, 51896, 50929, 51896, 51064, 51896, 52046, 51896, 51197, 51896, 50956, 51896, 50861, 51896, 50906, 51896, 51560, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 54414, 58668, 53347, 50884, 50474, 53250, 51472, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 50791, 59912, 53150, 53250, 68761, 51361, 53418, 55343, 51472, 51136, 51896, 50929, 51896, 51316, 51896, 51234, 51896, 50997, 51896, 50956, 51896, 50861, 51896, 51028, 51896, 51261, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 55343, 58668, 53347, 50884, 50474, 53777, 51073, 51136, 51896, 51169, 51896, 51549, 51896, 51085, 51896, 50900, 51896, 50956, 51896, 50965, 51896, 51001, 51896, 51150, 51896, 52902, 50884, 50480, 50791, 50884, 51540, 53777, 51472, 50791, 59912, 50884, 74327, 50884, 51361, 53418, 53250, 51472, 51136, 51896, 51169, 51896, 51032, 51896, 51503, 51896, 51176, 51896, 50956, 51896, 50965, 51896, 50876, 51896, 51522, 51896, 52902, 63247, 50884, 52320, 50884, 51453, 79611, 53777, 58668, 53347, 50884, 50474, 53407, 51073, 50970, 51896, 51169, 51896, 51316, 51896, 51360, 51896, 51040, 51896, 50871, 51896, 50965, 51896, 51028, 51896 ]

[ 0, 1121, 42, 5175, 25771, 2214, 6, 10, 18558, 8, 2236, 1021, 2678, 29, 185, 5, 483, 6, 2800, 30, 21072, 6, 10, 228, 438, 4781, 2088, 6757, 6, 8, 41, 21979, 9590, 4, 590, 10, 1769, 20889, 9, 24646, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 7630, 6568, 10, 1472, 9, 980, 8, 15073, 150, 6780, 15352, 30054, 4785, 4, 8504, 11, 5, 762, 9, 12608, 538, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 12608, 8, 272, 119, 6, 2351, 10, 19448, 5466, 1328, 5, 2214, 18, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50796, 50796, 51450, 51003, 51382, 53238, 51003, 51528, 51003, 51302, 53579, 51003, 51450, 51003, 51382, 53579, 51003, 51528, 51003, 51302, 53238, 51003, 51450, 51003, 51382, 53238, 51003, 51528, 51003, 51302, 53238, 51003, 51450, 51003, 51382, 53238, 51003, 50458, 55199, 50952, 51528, 58299, 55199, 56155, 53238, 51003, 51450, 51003, 51382, 53579, 51003, 51528, 51003, 51302, 53238, 51003, 51450, 51003, 51382, 53238, 51003, 50458, 55199, 51033, 50799, 57017, 50975, 52664, 55311, 58299, 57017, 50993, 54295, 50886, 52664, 50993, 55199, 54780, 53238, 51003, 51450, 51003, 51382, 53579, 51003, 50799, 52164, 53983, 51003, 50418, 52164, 65532, 52164, 52921, 52164, 52764, 53238, 51003, 50430, 52164, 59909, 52164, 52691, 52164, 53590, 51003, 50442, 52164, 62077, 52164, 50942, 51382, 53104, 50558, 61174, 51003, 50454, 52164, 63321, 55199, 50849, 55929, 51212, 77433, 50976, 57017, 51379, 52664, 50975, 53165, 51277, 52164, 54366, 58299, 51461, 51391, 77433, 51059, 57017, 51500, 52664, 51066, 55199, 51030, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 58610, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53238, 51003, 56451, 51233, 64034, 50975, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 56858, 53579, 56509, 51560, 51363, 65549, 50993, 54614, 51852, 50798, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 50804, 50942, 51382, 58396, 51003, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 73783, 58299, 51461, 51391, 77433, 51059, 57017, 51379, 54295, 50828, 52664, 50975, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 58610, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53238, 51003, 56451, 51233, 64034, 50975, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 56858, 53238, 51003, 50434, 55199, 59646, 51560, 51363, 65549, 50993, 54614, 51852, 50798, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 52088, 56946, 58332, 55199, 53543, 53238, 51003, 55929, 51212, 77433, 50976, 53165, 51277, 51813, 68796, 58299, 51461, 51391, 77433, 51059, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 53169, 59569, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 51345, 56451, 51233, 64034, 50975, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 50932, 53169, 53888, 53238, 56509, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 54523, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 50450, 52088, 69405, 53238, 51003, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 51277, 51525, 58717, 54788, 58299, 51461, 51391, 77433, 51059, 57017, 51427, 52664, 50993, 53165, 51419, 50804, 75297, 51060, 51068, 71058, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 51813, 60665, 51003, 50446, 53169, 55149, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 51345, 56451, 51233, 64034, 50975, 55199, 50897, 54383, 66711, 58299, 51522, 50981, 64034, 50824, 54383, 56858, 53238, 51003, 50434, 55199, 50882, 53169, 55467, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 58396, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 50804, 57006, 52088, 54593, 53238, 51003, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 52063, 51525, 62752, 57564, 58299, 51461, 51391, 77433, 51059, 57017, 51379, 52664, 50976, 53165, 51961, 50804, 75297, 58717, 54788, 56509, 51560, 51212, 65549, 50976, 54614, 51242, 51813, 53834, 51003, 50446, 53169, 58248, 51560, 50981, 65549, 50824, 54614, 56858, 53238, 51003, 50458, 53216, 50879, 56451, 50892, 64034, 50802, 55199, 50812, 54383, 68495, 58299, 51522, 51312, 64034, 51072, 54383, 51199, 53169, 54472, 53579, 51003, 50434, 55199, 51033, 53169, 55467, 51560, 51233, 65549, 50975, 54614, 51309, 53216, 53840, 51003, 50446, 51140, 51391, 59860, 51059, 52842, 51961, 50804, 58332, 52088, 58063, 53579, 51003, 54124, 50910, 55929, 50892, 77433, 50802, 51813, 63388, 51003, 50422, 53169, 52524, 51461, 50892, 77433, 51812, 53238, 51003, 50434, 53169, 54773, 51461, 50892, 77433, 51599, 51003, 50446, 53169, 54356, 51461, 50892, 77433, 51812, 53238, 51003, 50458, 55161, 50827, 55970, 50892, 65549, 50802, 52679, 52727, 52623, 51748, 53169, 58610, 51003, 50422, 53216, 53803, 51560, 50892, 65549, 50802, 52088, 53119, 53238, 51003, 50434, 51813, 56282, 51560, 50892, 65549, 51599, 57197, 51560, 50892, 65549, 50802, 52077, 63011, 53238, 51003, 50458, 51813, 51100, 55929, 51212, 77433, 50976, 53165, 73783, 58299, 51461, 51391, 77433, 51059, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 53169, 53834, 57197, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 51100, 56451, 51233, 64034, 50975, 54383, 51337, 53169, 79544, 58299, 51522, 50981, 64034, 50824, 54383, 50932, 53169, 54371, 53238, 51003, 50434, 53216, 60315, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 57277, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 52088, 79771, 52088, 54593, 53238, 51003, 50458, 53169, 50915, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 73783, 58299, 51461, 51391, 77433, 51059, 57017, 51427, 52664, 50993, 53165, 51419, 50804, 53238, 56509, 51560, 51233, 65549, 50975, 54614, 51043, 51813, 61525, 51003, 50446, 53169, 54356, 51560, 51391, 65549, 51059, 54614, 63782, 53579, 51003, 50458, 53216, 50849, 56451, 51233, 64034, 50975, 55199, 50897, 54383, 51337, 53169, 68591, 58299, 51522, 50981, 64034, 50824, 54383, 50932, 53169, 54472, 53238, 51003, 50434, 55199, 50882, 53169, 50878, 53216, 54975, 51560, 51363, 65549, 50993, 54614, 51852, 53216, 53840, 51003, 50446, 51140, 51310, 59860, 51029, 52842, 52519, 52088, 65475, 58332, 52088, 54047, 53238, 51003, 50458, 53169, 51134, 55929, 51212, 77433, 50976, 57017, 50976, 52664, 50976, 53165, 52063, 51813, 68796, 58299, 51461, 51391, 77433, 51059, 57017, 51379, 52664, 50976, 53165, 51961, 50804, 53238, 56509, 51560, 51212, 65549, 50976, 54614, 51242, 53169, 64861, 57197, 51560, 50981, 65549, 50824, 54614, 56858, 53238, 51003, 50458, 53216, 50849, 56451, 50892, 64034, 50802, 55199, 50812, 54383, 68495, 58299, 51522, 51312, 64034, 51072, 54383, 68693, 53579, 51003, 50434, 55199, 51033, 53169, 54014, 51560, 51233, 65549, 50975, 54614, 51309, 53216, 53197, 51003, 50446, 51140, 51391, 59860, 51059, 52842, 51961, 50804, 58332, 52088, 54047, 53579, 51003, 55929, 51233, 77433, 50975, 51813, 53351, 51003, 50422, 51813, 54818, 51461, 51233, 77433, 57432, 53238, 51003, 50434, 51813, 54773, 51461, 51233, 77433, 54482, 51003, 50446, 51813, 52725, 51461, 51233, 77433, 50975, 51813, 53497, 53238, 51003, 50458, 52088, 50917, 55970, 51233, 65549, 50975, 51813, 52784, 58299, 51560, 51233, 65549, 50975, 51813, 53497, 53238, 56509, 51560, 51233, 65549, 50975, 51813, 62288, 51003, 53526, 58332, 51560, 51233, 65549, 57432, 53238, 51003, 54124, 50942, 55929, 51233, 77433, 50975, 53165, 55856, 67579, 50908, 52679, 53871, 58299, 51461, 51233, 77433, 57432, 53238, 51003, 50434, 52456, 63418, 51461, 51233, 77433, 54482, 57197, 51461, 51233, 77433, 50975, 52517, 63066, 53579, 51003, 50458, 53169, 50897, 55929, 51233, 77433, 50975, 52517, 62067, 58299, 51461, 51233, 77433, 50975, 53169, 54047 ]

[ 0, 250, 15352, 30054, 8, 19448, 5175, 2214, 4246, 10, 13305, 816, 5, 483, 33301, 6, 7513, 30, 41, 3459, 8669, 8, 31391, 1672, 9590, 4, 20, 1349, 34, 10, 2365, 8, 3366, 219, 16464, 6, 442, 24, 10686, 13, 3618, 930, 4, 85, 18, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 9, 16157, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 52894, 51377, 50801, 55456, 50800, 51476, 51677, 51465, 51662, 51249, 51675, 51327, 51790, 78594, 51976, 60267, 51510, 52921, 51132, 58804, 73231, 52658, 55088, 54125, 51132, 53530, 51049, 50858, 53075, 51680, 51570, 56358, 51338, 53309, 51420, 55920, 51132, 57983, 52227, 53791, 50812, 51327, 50983, 51382, 50800, 51476, 51097, 51647, 50810, 51465, 51238, 50456, 51132, 53530, 55603, 54413, 50812, 53053, 51377, 51976, 50822, 52690, 51243, 51303, 51445, 51414, 51894, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51137, 51121, 52957, 51998, 51532, 54221, 55088, 54125, 51137, 53097, 53365, 51570, 58862, 51132, 55503, 51420, 55920, 51137, 58307, 52227, 53187, 50812, 51410, 51189, 50447, 59011, 51382, 75083, 50810, 51457, 66313, 51181, 53309, 55603, 60267, 54468, 51377, 51976, 50822, 51465, 51151, 51231, 51151, 51249, 51151, 51327, 51151, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51349, 51177, 52957, 51998, 51532, 54221, 55088, 54125, 51349, 53530, 53365, 51570, 58862, 51374, 58059, 51420, 55920, 51349, 66781, 52227, 53187, 74780, 75083, 52863, 51349, 52218, 55603, 60267, 53053, 51377, 51976, 50822, 51303, 51151, 51231, 51151, 51414, 51151, 51457, 51151, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51137, 51060, 52957, 51998, 51532, 54221, 55088, 54125, 51137, 53530, 53365, 51570, 58862, 51181, 53309, 51420, 55920, 51137, 57983, 52227, 53187, 54672, 59011, 51382, 75083, 52863, 51137, 53530, 55603, 60267, 52894, 51377, 51976, 50822, 51465, 51047, 51231, 51047, 51249, 51047, 51327, 51047, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51132, 51060, 52957, 51998, 51532, 54221, 55088, 54125, 51132, 53530, 53365, 51570, 58862, 51338, 53309, 51420, 55920, 51132, 57983, 52227, 53187, 50812, 51465, 51295, 51231, 51295, 51249, 51295, 51327, 51295, 51382, 75083, 52863, 51132, 53530, 55603, 60267, 53053, 51377, 50801, 52189, 50808, 51303, 51742, 51231, 51742, 51414, 51742, 51457, 51742, 51402, 54964, 51976, 52668, 50812, 66866, 51137, 58804, 50859, 51532, 50851, 51361, 52668, 54125, 51137, 53530, 52227, 79161, 58862, 51181, 53309, 55190, 53743, 51137, 51025, 52404, 51104, 54413, 50812, 51303, 51115, 51382, 50858, 51414, 50914, 51647, 53820, 51137, 53530, 55603, 54413, 50812, 51457, 50845, 54468, 51377, 50801, 52189, 50808, 51465, 51151, 51231, 51151, 51249, 51151, 51327, 51151, 51402, 54964, 51976, 52668, 50812, 66866, 51349, 58804, 50859, 51532, 50851, 51361, 52668, 54125, 51349, 53530, 55168, 51570, 58862, 51374, 53309, 52938, 51820, 51349, 51025, 52404, 51104, 54413, 74780, 50858, 51647, 53820, 51349, 53530, 55603, 54413, 50812, 53053, 51377, 51976, 67051, 51303, 51790, 51231, 51790, 51414, 51790, 51457, 51790, 51402, 53066, 50804, 51475, 50810, 51510, 52710, 51137, 64210, 51475, 50851, 51532, 52658, 55088, 54112, 51137, 53497, 77181, 51475, 58862, 51132, 55924, 53103, 51137, 55560, 51475, 50810, 51303, 50977, 51231, 50977, 51414, 50977, 51457, 79860, 52506, 54626, 70513, 60201, 51303, 51203, 51231, 51203, 51414, 51203, 51457, 69960, 51181, 53352, 54984, 51475, 50810, 52894, 70013, 55456, 50800, 51062, 51400, 71731, 51410, 51115, 51303, 51115, 51249, 51115, 51327, 71215, 51976, 60267, 50421, 50999, 51255, 51510, 52921, 51132, 57439, 73231, 64222, 51081, 64669, 55088, 54125, 51181, 54312, 51049, 54362, 51181, 56914, 50812, 51719, 51397, 51249, 51397, 51327, 51397, 51457, 51397, 51062, 51159, 50441, 51338, 56081, 51420, 55920, 51181, 51775, 50801, 52227, 53791, 74780, 75083, 52863, 51181, 50873, 67681, 54413, 62371, 51146, 50901, 53053, 51162, 51976, 62501, 51081, 51100, 51402, 50907, 51303, 51115, 51231, 51115, 51414, 51115, 51457, 71215, 51976, 53791, 59432, 50951, 51124, 51510, 54325, 51137, 50967, 52957, 51998, 51532, 77285, 50999, 66440, 55088, 54125, 51416, 54312, 53365, 54683, 50971, 52066, 51465, 51397, 51231, 51397, 51414, 51397, 51327, 51397, 51081, 51189, 50441, 51727, 56081, 51420, 55920, 51338, 51775, 50801, 52227, 53187, 74780, 75083, 52863, 51338, 50873, 67681, 60267, 52894, 51162, 51976, 50810, 51410, 51397, 51231, 51397, 51249, 51397, 51327, 51397, 76301, 52071, 51402, 54964, 51976, 60267, 66866, 51132, 57439, 73231, 50851, 51361, 55352, 54125, 51181, 54312, 51049, 54362, 51181, 50971, 52066, 50441, 51338, 56081, 51420, 50882, 51303, 51115, 51249, 51115, 51327, 51115, 51457, 64632, 51181, 51775, 50801, 52227, 60267, 51382, 75083, 52863, 51181, 50873, 67681, 54413, 50812, 55556, 51162, 63735, 51303, 51397, 51249, 51397, 51327, 51397, 51457, 51397, 50415, 70135, 78594, 51976, 53288, 59432, 50877, 51116, 51510, 52921, 51727, 57439, 50858, 51532, 58779, 50906, 71895, 55088, 54125, 51844, 54312, 51049, 50858, 54585, 56914, 66303, 51109, 50441, 51137, 56081, 51420, 50851, 51303, 51115, 51231, 51115, 51249, 51115, 52109, 64632, 51349, 51775, 50801, 52227, 60267, 51382, 50858, 51028, 50915, 51647, 51754, 79212, 67681, 53791, 50812, 52198, 50810, 53447, 51162, 51976, 50822, 51303, 51397, 51249, 51397, 51327, 51397, 51457, 51397, 74354, 50915, 51402, 54964, 51976, 53791, 50812, 51510, 54325, 51181, 50967, 52957, 51998, 73343, 51159, 51532, 54221, 55088, 54125, 51526, 54312, 53365, 55511, 50971, 52066, 51303, 51397, 51231, 51397, 51414, 51397, 52109, 51397, 50877, 74244, 51602, 56081, 51420, 55920, 51526, 51775, 50801, 52227, 53187, 54672, 59011, 51382, 63333, 50915, 51647, 52863, 51526, 50873, 67681, 60267, 52894, 51162, 51976, 50822, 51410, 51397, 51303, 51397, 51249, 51397, 51327, 51397, 76301, 50943, 51402, 54964, 51976, 53791, 54080, 50852, 52710, 51132, 50967, 52957, 51998, 70836, 51532, 54221, 55088, 54125, 51910, 54312, 53365, 57144, 50889, 52066, 51719, 50915, 51249, 50915, 51672, 50915, 51457, 75408, 50968, 51448, 50441, 52506, 55920, 50801, 52227, 53187, 52848, 51374, 55506, 50800, 51410, 50915, 51465, 50915, 51651, 50915, 51672, 50915, 51647, 52863, 67681, 60267, 56682, 70013, 52189, 50808, 51402, 50907, 51465, 51115, 51651, 51115, 51672, 51115, 52109, 71215, 51976, 52668, 50812, 66866, 51844, 57439, 50859, 51532, 50851, 51361, 52668, 50812, 51028, 58926, 51727, 54312, 52227, 50812, 57124, 50889, 52066, 51303, 50915, 51651, 50915, 51414, 50915, 52109, 75408, 51001, 50943, 68959, 52938, 51820, 52404, 51104, 54413, 52848, 51533, 55506, 50858, 51231, 50915, 51414, 50915, 52109, 50915, 51980, 50915, 50451, 51028, 50915, 51647, 53820, 67681, 54413, 50812, 55609, 51162, 57986, 51475, 50851, 51687, 51397, 51231, 51397, 51414, 51397, 51327, 51397, 76301, 51518, 54519, 79827, 55171, 50810, 53327, 52654, 51602, 57439, 51475, 50851, 51532, 54150, 55088, 54112, 51137, 54806, 51724, 51137, 55633, 67051, 51303, 50915, 51231, 50915, 51414, 50915, 51457, 50915, 53012, 53103, 50804, 51475, 54803, 50801, 52848, 51338, 55506, 51475, 50851, 51647, 50851, 51465, 51203, 51231, 51203, 51414, 51203, 51327, 69960, 52095, 52054, 53187, 57450, 51062, 51351, 52894, 70013, 55456, 50800, 71731, 51410, 51115, 51303, 51115, 51249, 51115, 51327, 71215, 51976, 60267, 50421, 50999, 51255, 51510, 52921, 51132, 57439, 73231, 64222, 51081, 64669, 55088, 54125, 51181, 54312, 51049, 54362, 51181, 56914, 50812, 51062, 51159, 50441, 51338, 56081, 51420, 50882, 51719, 51115, 51249 ]

[ 0, 250, 765, 37903, 9, 15855, 930, 14, 115, 28, 341, 25, 10, 19834, 11, 10, 822, 4, 85, 34, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 16, 11, 5, 762, 9, 274, 538, 4, 20, 6711, 16, 19448, 648, 2933, 8, 3722, 6, 19, 10, 15352, 30054, 4782, 4, 20, 33215, 16739, 9, 230, 6, 211, 119, 6, 272, 6, 230, 6, 1918, 16, 341, 683, 11, 42, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50877, 52115, 50906, 51631, 50876, 51736, 50876, 53218, 50877, 53312, 50876, 50983, 55746, 50931, 52424, 50876, 52728, 50877, 50807, 55694, 52115, 50876, 51631, 50902, 51736, 50902, 58624, 50906, 51923, 50902, 51036, 50796, 50456, 50906, 50795, 54960, 52115, 50902, 51631, 50902, 52424, 50906, 52728, 50902, 50983, 52591, 50951, 53182, 50968, 53218, 50876, 53312, 50877, 50795, 55694, 52115, 50876, 51631, 50876, 60865, 50931, 51798, 50876, 51036, 50796, 63932, 51923, 50968, 50795, 56229, 52115, 50931, 53182, 50902, 53218, 50931, 50983, 55331, 52115, 50931, 53182, 50902, 58624, 50906, 51923, 75022, 55331, 52115, 50902, 53182, 50906, 53218, 50902, 51036, 50796, 50444, 50906, 51798, 50876, 51923, 50902, 50795, 55331, 52910, 50906, 52424, 50861, 52728, 50877, 50807, 55694, 52910, 50861, 50983, 57428, 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, 250, 33928, 3495, 1619, 2214, 11, 155, 73, 306, 86, 6543, 6, 4246, 41, 21979, 8669, 8, 13305, 816, 5, 33301, 6, 2800, 30, 21072, 8, 41, 21979, 9590, 4, 20, 2125, 16, 11, 5, 762, 9, 230, 538, 6, 19, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 272, 6, 272, 406, 6, 8, 230, 4, 85, 34, 10, 23758, 3938, 20889, 8, 10, 13428, 6097, 9, 10, 455, 2214, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51034, 50628, 51018, 51034, 50903, 50839, 51768, 52742, 50903, 50825, 51034, 50903, 50839, 51768, 52742, 50903, 50825, 51034, 53248, 52140, 51476, 51314, 51465, 51742, 51231, 51662, 51414, 51939, 50986, 52598, 50998, 52212, 51064, 52015, 50801, 54778, 56813, 51150, 51518, 51768, 51464, 56344, 51149, 51448, 50900, 51048, 50428, 51439, 51637, 50434, 51725, 51391, 59419, 50800, 50986, 66377, 60067, 50956, 58780, 50899, 54758, 51476, 50974, 50445, 60509, 50446, 71656, 50447, 51298, 51004, 51034, 53248, 51447, 51465, 51535, 51231, 51535, 51414, 51535, 51327, 51535, 50986, 53486, 50998, 53866, 51064, 52528, 50801, 54778, 56813, 50900, 50823, 51150, 51692, 50417, 50909, 51310, 51149, 51679, 50419, 51086, 62906, 50997, 65553, 51027, 50870, 51768, 51464, 56344, 50997, 67161, 51027, 72300, 51176, 64042, 51026, 54927, 51465, 50857, 51231, 50857, 51414, 50857, 51327, 62156, 58159, 50939, 51644, 50299, 51073, 50440, 69598, 50446, 51725, 50925, 51034, 51476, 54143, 51303, 54143, 51249, 54143, 50801, 54778, 56813, 51140, 51518, 50986, 59170, 50970, 59170, 50947, 59170, 50416, 51050, 52195, 50417, 50850, 51353, 50418, 50909, 51080, 51768, 51464, 52950, 50903, 58159, 51085, 50821, 50986, 51961, 50970, 51961, 50947, 51961, 50443, 51324, 50813, 68423, 51675, 50801, 54778, 56813, 51050, 51422, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 65184, 51476, 51254, 51303, 51254, 51249, 51254, 50903, 52986, 69122, 55685, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 56698, 53454, 50801, 54778, 56813, 51257, 51059, 51026, 50808, 51140, 51518, 50986, 59170, 50970, 59170, 50947, 59170, 50418, 51027, 51605, 50420, 53075, 52919, 51510, 52992, 51476, 54143, 59193, 52925, 51303, 51218, 50434, 51149, 54362, 51007, 51735, 51249, 63675, 58159, 50986, 51961, 50970, 51961, 50947, 51961, 50444, 51327, 51486, 51034, 50909, 51735, 51249, 51742, 51150, 51675, 50801, 54778, 56813, 51050, 51310, 51510, 52992, 50850, 50823, 59193, 56344, 50986, 51330, 50970, 51330, 50947, 51330, 50430, 50992, 52925, 50847, 72762, 51303, 50878, 50903, 58159, 51085, 50925, 50442, 51324, 52986, 76067, 51234, 51051, 50446, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 51476, 52826, 51303, 52826, 51249, 52826, 51504, 55392, 50801, 54778, 56813, 51279, 51148, 51140, 51518, 50416, 50850, 54454, 50422, 50986, 53674, 50426, 50970, 54557, 59193, 57535, 50947, 51679, 59015, 58159, 51279, 51166, 50446, 50986, 51391, 50447, 51085, 50874, 68423, 51675, 50970, 55586, 50801, 54778, 69939, 51050, 51535, 50422, 50947, 51244, 51768, 51464, 52950, 50903, 58159, 51050, 50987, 50446, 50909, 50882, 51026, 50955, 50970, 50941, 50947, 50907, 51034, 51327, 52140, 51303, 54249, 50801, 54778, 56813, 51176, 51312, 53075, 58651, 51476, 55844, 51140, 51518, 50986, 59170, 50970, 59170, 50947, 59170, 50416, 51257, 51653, 51768, 51464, 56344, 51027, 51295, 50428, 51149, 51237, 59015, 58159, 50900, 50915, 50986, 51961, 50970, 51961, 50947, 51961, 50446, 51007, 50860, 68423, 51675, 50801, 54778, 56813, 70093, 50416, 50909, 52097, 50425, 53171, 51448, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 70550, 52287, 51961, 59015, 58159, 51825, 76097, 51327, 50933, 50445, 50872, 61409, 51050, 50845, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 51465, 52826, 51231, 52826, 51414, 52826, 51327, 52826, 50986, 51490, 50998, 58468, 51064, 52528, 50801, 54778, 56813, 51150, 51692, 50417, 50868, 51795, 51315, 51313, 51510, 50839, 51768, 51464, 52950, 51725, 51449, 50903, 57728, 50986, 52212, 67834, 51803, 50998, 51592, 50801, 54778, 58235, 50929, 52015, 51768, 51464, 65760, 50885, 55666, 50903, 57728, 50986, 51210, 51034, 53248, 51671, 51465, 52919, 51231, 52919, 51414, 52919, 51327, 52919, 50986, 51490, 50998, 58468, 51064, 52528, 50801, 54778, 56813, 51149, 51761, 51150, 51518, 50416, 50900, 56769, 51768, 51464, 52950, 51725, 51449, 50903, 58159, 51007, 51012, 50446, 50909, 51030, 50986, 52212, 67834, 51675, 50998, 51592, 50801, 54778, 69939, 50939, 51300, 50422, 50929, 52015, 51768, 51464, 52950, 51465, 61319, 58159, 50847, 50806, 50440, 50900, 75097, 70384, 77469, 50986, 51210, 51034, 51465, 54143, 51231, 54143, 51414, 54143, 51327, 54143, 50801, 54778, 56813, 51150, 51518, 50998, 59170, 50929, 59170, 51064, 59170, 51032, 59170, 50416, 50868, 51285, 50997, 56515, 51768, 51464, 52950, 50903, 58159, 50868, 50882, 50998, 51961, 50929, 51961, 51064, 51961, 51032, 51961, 50442, 50979, 53041, 55315, 67834, 51675, 50801, 54778, 56813, 50885, 51790, 50916, 51742, 51768, 51464, 56344, 50998, 51330, 50929, 51330, 51064, 51330, 51032, 65184, 51465, 51254, 51231, 51254, 51414, 51254, 51327, 51254, 50903, 57728, 50885, 50897, 50998, 51051, 50929, 51051, 51064, 51051, 51032, 51051, 78458, 51358, 53248, 53454, 50986, 51490, 50998, 58468, 51064, 52528, 50801, 54778, 56813, 50885, 51603, 51150, 51692, 50426, 78436, 51476, 54143, 59193, 52925, 51465, 71161, 50847, 51072, 51231, 50892, 51725, 51449, 50903, 58159, 50900, 79954, 51414, 51486, 50446, 50986, 52212, 51034, 50939, 51009, 74720, 51231, 51742, 51098, 51803, 50998, 51592, 50801, 54778, 58235, 50929, 52015, 51510, 50839, 51768, 51464, 52950, 51465, 50878, 50903, 58159, 50900, 63954, 51086, 64300, 50997, 53010, 50446, 50992, 50860, 50986, 51210, 51034, 51476, 52826, 51303, 52826, 51249, 52826, 50986, 51490, 50970, 58468, 50947, 52528, 50801, 54778, 56813, 51140, 51790, 50416, 50850, 51795, 50417, 51027, 52071, 51768, 51464, 52950, 51504, 51449, 50903, 57728, 50986, 52212, 73831, 51486, 50970, 51592, 50801, 54778, 50839, 51768, 51464, 52950, 50903, 57728, 50986, 51210, 51034, 51257, 51870, 56698, 53454, 50801, 54778, 56813, 50877, 51160, 51140, 51692, 50986, 59170, 50970, 59170, 50947, 59170, 50420, 53075, 52919, 50426, 51476, 54143, 59193, 56344, 50861, 69133, 51303, 51218, 50437, 51149, 54114, 51249, 63675, 58159, 51149, 51033, 50871, 51159, 50906, 50870, 50986, 51961, 50970, 51961, 50947, 51961, 50444, 51327, 51486, 50446, 51007, 51021, 51034, 51249, 51742, 51461, 51803, 50801, 54778, 56813, 50916, 51411, 50416, 50909, 51552, 53337, 51411, 59193, 56344, 50986, 51330, 50970, 51330, 50947, 51330, 50434, 50850, 62591, 51303, 50878, 50903, 58159, 50900, 51058, 50440, 50847, 50923, 50446, 50986, 51051, 50970, 51051, 50947, 77302, 59949, 50850, 50841, 51034, 51327, 52140, 51303, 54249, 50801, 54778, 56813, 53075, 58651, 51476, 55844, 51140, 51692, 50986, 59170, 50970, 59170, 50947, 59170, 50417, 50850, 51603, 50418, 51050, 51422, 51768, 51464, 65760, 50850, 52379, 59015, 58159, 50986, 51961, 50970, 51961, 50947, 51961, 51034, 51461, 51803, 50801, 54778, 69939, 51050, 51803, 50425, 53171, 51448, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 70550, 52287, 51961, 59015, 58159, 51825, 76097, 51327, 62565, 50986, 51051, 50970, 51051, 50947, 51051, 51034, 51476, 54143, 51303, 54143, 51249, 54143, 50801, 54778, 56813, 51257, 51059, 51140, 51692, 50986, 59170, 50970, 59170, 50947, 59170, 50416, 51050, 51486, 51510, 50839, 51768, 51464, 52950, 50903, 58159, 51149, 50894, 50986, 51961, 50970, 51961, 50947, 51961, 50446, 51007, 51033, 51034, 51461, 51803, 50801, 54778, 69939, 50909, 52195, 51050, 51103, 51768, 51464, 56344, 50986, 51330, 50970, 51330, 50947, 65184, 51476, 51254 ]

[ 0, 250, 20902, 8, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 2712, 6, 3185, 30, 10, 13305, 816, 11, 10, 1769, 20889, 4, 8504, 11, 5, 762, 9, 83, 3694, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 1918, 6, 211, 119, 406, 428, 245, 73, 347, 6, 1918, 6, 8, 381, 4, 2285, 63, 765, 13428, 6, 5, 2125, 10200, 7, 35334, 10, 3344, 9, 20425, 8, 1372, 6711, 29, 6, 19, 41, 7482, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 72861, 50877, 64924, 50943, 53523, 60097, 58722, 54777, 50899, 59903, 70062, 60510, 51027, 65378, 66920, 59827, 50900, 60097, 58722, 50901, 55435, 64000, 64290, 55689, 50997, 61123, 58722, 55035, 50997, 61123, 63785, 54777, 50900, 60097, 78172, 51003, 55513, 60097, 63785, 55125, 50900, 60097, 63348, 51003, 59626, 50899, 66676, 51101, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 51310, 50456, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 58667, 51050, 51212, 50906, 50838, 54206, 69887, 51242, 50931, 54644, 50871, 57777, 50981, 57025, 51212, 50877, 53052, 50899, 62597, 60472, 51742, 55898, 56391, 50871, 52985, 50877, 53581, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 50931, 54644, 50871, 57777, 50981, 57025, 51212, 50877, 53052, 50899, 61902, 65348, 54498, 50899, 56391, 50871, 74984, 51310, 60027, 53581, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 50931, 54644, 50871, 57777, 50981, 57025, 51212, 50877, 53052, 50899, 62597, 60472, 51742, 55898, 56391, 50871, 52985, 50877, 53581, 51027, 66289, 50838, 56310, 50874, 50916, 59023, 55689, 50997, 61123, 66412, 60307, 51040, 60097, 52454, 50317, 59791, 50916, 59903, 51477, 50968, 51295, 59626, 50899, 66676, 51101, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 55961, 52688, 51027, 51212, 50877, 57777, 54100, 50899, 62597, 60756, 52718, 50899, 67919, 53999, 50871, 57643, 54058, 50877, 57945, 54771, 51027, 51212, 51028, 60472, 50892, 54206, 69887, 51242, 51430, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 77868, 51310, 55898, 56391, 50871, 52985, 50877, 60472, 58667, 51027, 51212, 50973, 50838, 54206, 69887, 51242, 51062, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 62597, 74984, 51310, 55898, 56391, 50871, 52985, 50877, 57945, 58667, 51027, 51212, 51028, 50838, 54206, 69887, 51242, 51081, 51115, 55961, 52688, 51027, 51212, 50877, 53052, 50899, 61902, 60472, 51310, 55898, 56391, 50871, 52985, 50877, 57643, 51310, 50456, 51027, 51212, 50973, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 51310, 50456, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 58902, 57547, 50997, 64152, 52718, 51040, 64369, 53999, 50871, 57945, 50981, 56222, 53581, 51050, 51212, 50906, 64079, 51145, 55435, 51962, 50305, 51328, 55961, 52688, 51050, 51212, 50861, 53052, 50997, 64152, 65505, 54498, 51040, 56391, 50871, 64079, 51310, 56222, 53581, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51062, 54644, 50871, 64079, 53770, 51050, 51212, 50861, 65505, 54100, 50997, 64152, 64079, 56692, 51040, 56391, 50871, 65505, 54058, 50861, 57945, 58667, 51050, 51212, 50906, 50838, 55435, 51962, 50305, 51328, 51147, 54644, 50871, 57945, 53770, 51050, 51212, 50861, 57643, 54100, 50997, 64152, 57945, 56692, 51040, 56391, 50871, 57643, 54058, 50861, 60778, 58667, 51050, 51212, 50906, 50838, 54206, 69887 ]

[ 0, 713, 20425, 8, 15352, 30054, 3495, 2214, 11, 272, 538, 1575, 10, 13305, 816, 5, 1049, 4782, 4, 590, 10, 20889, 9, 13950, 163, 5683, 36, 7083, 4308, 1001, 43, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 7630, 6568, 10, 3344, 9, 8597, 6, 31, 15073, 7, 657, 6, 442, 24, 10686, 13, 822, 2369, 36546, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 8, 211, 3639, 7, 63, 13363, 28191, 2574, 11, 42, 765, 4388, 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 ]

[ 56236, 50796, 57267, 55247, 50900, 59258, 51115, 55524, 50915, 55902, 53172, 50876, 57348, 57648, 50902, 53264, 50900, 68504, 51422, 59758, 50915, 54594, 50995, 53523, 68504, 51115, 59419, 56306, 50902, 53562, 50968, 57348, 58843, 50931, 50845, 53975, 64951, 51047, 56248, 54975, 50861, 60250, 55247, 50900, 75052, 50915, 54578, 64951, 55382, 50877, 79442, 54975, 50900, 64951, 55247, 50871, 67883, 50915, 54852, 75511, 55382, 51086, 61739, 52644, 55898, 55247, 50861, 50995, 54955, 55382, 51027, 54975, 51086, 51412, 55895, 59258, 51115, 55524, 50915, 55902, 53172, 50876, 57348, 57173, 50902, 53264, 50900, 68504, 51422, 59758, 50915, 54594, 50915, 53523, 68504, 51115, 59419, 56306, 50902, 53562, 50968, 57348, 57414, 50931, 50845, 53975, 64951, 51047, 56248, 54975, 50861, 59258, 55247, 50900, 75052, 50915, 54578, 64951, 55382, 50877, 67883, 54975, 51086, 68504, 55247, 50899, 61739, 50915, 54594, 67430, 50915, 53523, 59258, 51115, 59419, 56306, 50861, 53562, 50968, 57348, 57414, 50902, 50845, 53975, 51422, 50876, 51422, 50451, 51026, 66532, 50943, 51601, 51027, 59258, 50915, 50427, 51086, 51203, 50902, 51203, 50439, 51086, 63402, 50943, 50451, 51027, 59258, 50915, 51601, 51026, 51203, 50973, 51203, 50427, 51315, 59258, 51115, 50439, 51026, 50915, 50445, 50861, 71474, 50876, 63327, 50915, 50457, 50902, 50845, 51601, 51026, 68504, 51422, 77095, 75408, 50916, 50915, 50451, 51026, 67430, 50915, 51601, 51027, 59258, 50915, 50427, 51086, 51203, 50902, 51203, 50439, 51086, 63402, 50943, 50451, 50900, 74335, 50943, 51601, 50899, 67780, 75725, 50900, 68504, 51115, 50439, 50916, 50915, 50445, 50902, 71474, 50968, 57348, 50915, 50457, 50902, 50845, 51601, 50631, 50900, 59258, 51422, 50427, 50916, 75408, 50861, 50915, 50451, 50632, 51050, 67883, 50915, 51601, 51027, 58421, 50915, 77095, 58421, 75408, 51050, 58421, 50915, 50451, 51027, 59258, 50915, 51601, 50900, 67883, 50915, 50427, 51026, 68504, 51047, 50439, 50900, 50915, 50451, 50916, 67883, 50915, 51601, 51026, 64951, 51422, 77095, 75408, 50916, 50915, 50451, 51378, 61739, 51047, 51601, 51027, 50915, 50427, 50899, 61739, 75408, 51378, 61739, 50915, 50451, 51027, 68504, 50915, 51601, 50899, 59258, 50915, 50427, 51026, 68504, 51422, 50439, 50900, 50915, 50451, 50916, 50915, 51601, 50631, 51026, 61739, 51422, 50427, 51027, 75408, 51086, 50995, 50451, 50632, 50900, 59258, 51115, 51601, 50916, 50915, 50421, 50861, 75241, 50876, 57348, 50995, 50433, 50902, 78947, 50900, 68504, 51422, 50451, 50916, 50915, 51601, 50861, 50995, 77095, 68504, 51115, 50439, 50916, 50915, 50445, 50902, 71474, 50968, 57348, 50995, 50457, 50931, 50845, 51601, 50900, 64951, 51047, 50427, 50916, 75408, 50861, 60250, 50915, 50451, 50900, 75052, 50915, 51601, 50871, 64951, 50915, 50427, 50877, 79442, 75408, 50900, 64951, 50915, 73867, 67883, 50915, 51601, 50877, 75511, 50915, 50427, 51086, 61739, 52644, 50439, 50899, 50915, 50451, 50861, 50995, 51601, 50871, 50915, 50427, 50916, 75408, 50899, 50995, 50451, 50900, 59258, 51115, 51601, 50916, 50915, 50421, 50861, 75241, 50876, 57348, 50995, 50433, 50902, 78947, 50900, 68504, 51422, 50451, 50916, 50915, 51601, 50861, 50995, 77095, 68504, 51115, 50439, 50916, 50915, 50445, 50902, 71474, 50968, 57348, 50995, 50457, 50931, 50845, 51601, 50900, 64951, 51047, 50427, 50916, 75408, 50861, 60250, 50915, 50451, 50900, 75052, 50915, 51601, 50871, 64951, 50915, 50427, 50877, 79442, 75408, 51086, 68504, 50915, 50451, 50899, 61739, 50915, 51601, 50861, 67888, 50915, 50427, 50631, 50900, 59258, 51115, 50439, 50916, 50915, 50445, 50861, 71474, 50968, 57348, 50995, 50457, 50902, 50845, 51601, 50900, 53295, 50876, 53295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3495, 2214, 4246, 9590, 3863, 6, 12280, 3275, 1725, 3109, 6, 17691, 28430, 6, 23338, 33518, 1264, 6, 8, 1515, 21305, 6, 7630, 14805, 6453, 9, 657, 8, 1619, 4, 8504, 11, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 2877, 6, 19, 5, 40286, 211, 8, 83, 406, 1976, 5, 46336, 4811, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50799, 53029, 51337, 50420, 53895, 52688, 52573, 77066, 53895, 53264, 52550, 55322, 53249, 54058, 51273, 50995, 53029, 54509, 56280, 51079, 53458, 51419, 53029, 51423, 50420, 53895, 52688, 52573, 78265, 53895, 54137, 52550, 51363, 50444, 53249, 54058, 52387, 51060, 51273, 50995, 53029, 54509, 52213, 51100, 56280, 50838, 50799, 52721, 50942, 51098, 51749, 53029, 51337, 50420, 52721, 50933, 52573, 54335, 52721, 50955, 53895, 56427, 52721, 50810, 52573, 54938, 52721, 51194, 51098, 51244, 52049, 55103, 52573, 52985, 51760, 51178, 53895, 57092, 52550, 64735, 51971, 50937, 68093, 51100, 51273, 51244, 52573, 63922, 51756, 50795, 53249, 54335, 52721, 51121, 56280, 57524, 52213, 50849, 53249, 52718, 52721, 50893, 51098, 51318, 53895, 53999, 52387, 50897, 53029, 51477, 50450, 52387, 65847, 52213, 50845, 50799, 52721, 50878, 51098, 51749, 52049, 55041, 52721, 50959, 52573, 54335, 52721, 50955, 53895, 55378, 52721, 50955, 52573, 55659, 52721, 51060, 51098, 51314, 52049, 53624, 52573, 55437, 51760, 51235, 53895, 59435, 52550, 79088, 51971, 50937, 68093, 51100, 51273, 51244, 52573, 63922, 51756, 50805, 53249, 58069, 52721, 50873, 56280, 65298, 52213, 51110, 53249, 52718, 52387, 50914, 51098, 51542, 53029, 51637, 50450, 59766, 51121, 60198, 51221, 50459, 56848, 51008, 64616, 50878, 54079, 51448, 59766, 51121, 60198, 51111, 50420, 53249, 51079, 54668, 50901, 56848, 63559, 56280, 51432, 53060, 50974, 59766, 53052, 53249, 50838, 54668, 50925, 55455, 52718, 51098, 51542, 53029, 51108, 59766, 51159, 53060, 57105, 52387, 65847, 52213, 51121, 50799, 52721, 50955, 51098, 51448, 52049, 50892, 53060, 51115, 59766, 72108, 52721, 50822, 52573, 56307, 52721, 50955, 53895, 55378, 52721, 50810, 52573, 50972, 54668, 51212, 56848, 74387, 52721, 51100, 51098, 51244, 52049, 50892, 59766, 50866, 60198, 73971, 52573, 56697, 51760, 51235, 53895, 51166, 59766, 50845, 60198, 57414, 52550, 56517, 51971, 50938, 68093, 51111, 51273, 51244, 52573, 50972, 56848, 51310, 69070, 73009, 51756, 51158, 53249, 53770, 52721, 50893, 56280, 55378, 52213, 50849, 53249, 52718, 52721, 68314, 51448, 53895, 50972, 60198, 51203, 57331, 51312, 50444, 52387, 50812, 53029, 64180, 64616, 50822, 61743, 54004, 52387, 51060, 57331, 51221, 60198, 51400, 50456, 52213, 51101, 50799, 52721, 50959, 51098, 51535, 52049, 50892, 53060, 51295, 59766, 78377, 52721, 50822, 52573, 56307, 52721, 50866, 53895, 55378, 52721, 50833, 52573, 50972, 54668, 51242, 56848, 72759, 52721, 51060, 51098, 51148, 52049, 50892, 59766, 51058, 60198, 55945, 52573, 56697, 51760, 51227, 53895, 51166, 59766, 50845, 60198, 53586, 52550, 56517, 51971, 50917, 68093, 50849, 51273, 51148, 52573, 50972, 54668, 51047, 56848, 62976, 51756, 50879, 53249, 53770, 52721, 50849, 56280, 55378, 52213, 51100, 53249, 52718, 52387, 51003, 51098, 50995, 53029, 51108, 53060, 51108, 59766, 57105, 52824, 50967, 51900, 51110, 50459, 51784, 50857, 52285, 50844, 54079, 51535, 52824, 50805, 51900, 51111, 50420, 53249, 50892, 52355, 50937, 51784, 66010, 56280, 50972, 52278, 50845, 52824, 68766, 53249, 50838, 54219, 50974, 52355, 51121, 57280, 50995, 53029, 51108, 52824, 50914, 52278, 72269, 52387, 59562, 52213, 51100, 50799, 52721, 50955, 51098, 51535, 51098, 51535, 52049, 55041, 52721, 50822, 52573, 50974, 52824, 50904, 52278, 53881, 52721, 50955, 53895, 50972, 52278, 50867, 52824, 54854, 52721, 50810, 52573, 50972, 52824, 51172, 52278, 51400, 50438, 52721, 51100, 51098, 51148, 52049, 55200, 52573, 50974, 52278, 50886, 52824, 58271, 51760, 51235, 53895, 51166, 52278, 50857, 52824, 54232, 52550, 50838, 52278, 51203, 52824, 51534, 50459, 51971, 50938, 68093, 51111, 51273, 51148, 52573, 59288, 51756, 51158, 53249, 50892, 52355, 50886, 51784, 54317, 52721, 50893, 56280, 50972, 51784, 50886, 52355, 52658, 52213, 50849, 53249, 50838, 51784, 50981, 52355, 56692, 52721, 68314, 51391, 53895, 57997, 52387, 50812, 53029, 50972, 52824, 50971, 51900, 54915, 52387, 51060, 52824, 50867, 51900, 54199, 52213, 51101, 51273, 50822, 52824, 51194, 51900, 51203, 50799, 52721, 50959, 51098, 51047, 52049, 55041, 52721, 50822, 52573, 50974, 52278, 50886, 52824, 54689, 52721, 50866, 53895, 50972, 52824, 50941, 52278, 54221, 52721, 50833, 52573, 50972, 52278, 51312, 52824, 74048, 52721, 51060, 51098, 51145, 52049, 55200, 52573, 50974, 52278, 50941, 52824, 54939, 51760, 51227, 53895, 51166, 52824, 50829, 52278, 54199, 52550, 50838, 52278, 51194, 52824, 51337, 50459, 51971, 50917, 68093, 50849, 51273, 51148, 52573, 59288, 51756, 50879, 53249, 50892, 54219, 50870, 52355, 53935, 52721, 50849, 56280, 50972, 54219, 50820, 52355, 53705, 52213, 51100, 53249, 50838, 54219, 50959, 52355, 53913, 52387, 51194, 51098, 51134, 53029, 51108, 52824, 50932, 52278, 72499, 52044, 66313, 51098, 57490, 52416, 50897, 54079, 51397, 52044, 55099, 53249, 50892, 51975, 50873, 54219, 50870, 52355, 53935, 56280, 50972, 52797, 50925, 54219, 50820, 52355, 53705, 53249, 50838, 52242, 50822, 54219, 50959, 52355, 53913, 51098, 51134, 53029, 51108, 52049, 51141, 52824, 50932, 52278, 72499, 52387, 59562, 52213, 51100, 51273, 50867, 50799, 52721, 50955, 51098, 51397, 52049, 50892, 56049, 51295, 56117, 72108, 52721, 50822, 52573, 56307, 52721, 50955, 53895, 55378, 52721, 50810, 52573, 50972, 55308, 50845, 52338, 51328, 50438, 52721, 51100, 51098, 51244, 52049, 50892, 56117, 51212, 52665, 72438, 52573, 56697, 51760, 51235, 53895, 51166, 52665, 50981, 56117, 58843, 52550, 56517, 51971, 50938, 68093, 51111, 51273, 51148, 52573, 50972, 52338, 50892, 55308, 51212, 50420, 51756, 51158, 53249, 50892, 56049, 50974, 56117, 64570, 52721, 50893, 56280, 50972, 55308, 51212, 52338, 68181, 52213, 50849, 53249, 50838, 56117, 50905, 52665, 56298, 52721, 68314, 51535, 53895, 50972, 56049, 51337, 56117, 61112, 52387, 50812, 53029, 55437, 52387, 51060, 66207, 51233, 56049, 58667, 52213, 51101, 50799, 52721, 50959, 51098, 51535, 52049, 50892, 56049, 51637, 56117, 51477, 50420, 52721, 50822, 52573, 56307, 52721, 50866, 53895, 55378, 52721, 50833, 52573, 50972, 55308, 51277, 52338, 72759, 52721, 51060, 51098, 51314, 52049, 50892, 52665, 50845, 56117, 73971, 52573, 56697, 51760, 51227, 53895, 51166, 56117, 51097, 52665, 58843, 52550, 56517, 51971, 50917, 68093, 50849, 51273, 51244, 52573, 50972, 52338, 50905, 55308, 77769, 51756, 50879, 53249, 50892, 56049, 50905, 56117, 64570, 52721, 50849, 56280, 50972, 55308, 50892, 52338, 54342, 52213, 51100, 53249, 50838, 56117, 50838, 52665, 56298, 52387, 51194, 51098, 51749, 53029, 51108, 56117, 51411, 56049, 57991, 56117, 51162, 52665, 51377, 50459, 52338, 50822, 53064, 50955, 54079, 51535, 56117, 50901, 52665, 57437, 53249, 50892, 55308, 50873, 52338, 55035, 53895, 50972, 56117, 50795, 56049, 68181, 53249, 50838, 73293, 51277, 55308, 51101, 57280, 51749, 53029, 51108, 56049, 51448, 56117, 51535, 50450, 52387, 59562, 52213, 51100, 50799, 52721, 50955, 51098, 51535, 52049, 50892, 53060, 51115, 59766, 51283, 56117, 72108, 52721, 50822, 52573, 56307, 52721, 50955, 53895, 55378, 52721, 50810, 52573, 50972, 54668, 51212, 56848, 51177, 52338, 51328, 50438, 52721, 51100, 51098, 51244, 52049, 50892, 59766, 50866, 60198, 51212, 52665, 72438, 52573, 56697, 51760, 51235, 53895, 51166, 59766, 50845, 60198 ]

[ 0, 250, 15352, 30054, 3495, 2214, 11509, 657, 8, 11098, 6, 4246, 10, 11739, 9, 21072, 6, 6755, 12547, 6, 13305, 6, 449, 7087, 6, 8, 21979, 8669, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 274, 10431, 119, 6, 163, 119, 6, 381, 6, 163, 119, 6, 8, 230, 10431, 119, 3639, 7, 63, 1144, 26016, 13569, 9862, 6, 442, 24, 10, 12365, 2031, 13, 10, 1619, 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 ]

[ 54458, 50796, 50452, 55340, 77898, 59412, 65917, 54143, 50796, 50436, 64538, 51801, 50796, 50447, 56336, 60130, 64995, 53201, 50796, 50436, 59480, 51878, 50458, 57788, 60243, 55746, 60996, 65527, 50796, 51809, 64538, 52431, 50456, 57788, 52263, 50796, 50430, 59480, 60243, 50437, 64638, 54270, 50443, 56336, 52829, 64995, 60130, 64538, 53055, 53069, 60996, 56329, 50422, 53278, 59189, 50445, 65917, 59519, 56020, 50843, 68751, 50843, 65252, 51019, 57383, 58346, 51415, 50873, 50443, 51011, 51538, 52326, 55776, 51249, 52140, 52109, 51592, 51818, 52916, 52684, 51939, 55340, 51662, 55314, 51939, 52225, 52598, 53828, 51749, 50798, 56022, 50937, 74113, 55639, 51542, 56403, 50987, 51889, 50978, 51070, 51006, 51355, 51254, 50458, 58088, 51166, 50459, 51236, 54071, 51889, 50987, 51601, 55639, 51466, 50416, 52414, 52263, 53976, 51562, 50903, 52201, 50845, 51236, 50805, 51889, 50873, 51070, 67132, 51355, 50987, 62579, 51387, 79668, 51070, 50838, 53297, 56427, 52367, 52192, 64821, 55811, 50437, 52433, 52256, 56903, 51358, 54369, 52916, 51231, 52431, 51672, 52528, 51818, 52528, 52507, 51939, 54008, 51939, 55314, 51592, 52187, 52528, 53499, 52062, 50798, 54260, 50977, 70501, 74004, 51470, 51270, 50978, 51889, 50938, 51845, 51470, 70501, 51350, 51058, 50454, 51845, 52731, 50458, 52433, 52378, 50459, 50903, 52201, 55993, 61202, 51387, 51845, 51074, 51925, 50974, 51070, 50838, 52177, 51240, 51376, 51350, 51058, 50421, 52367, 52048, 50422, 51019, 53834, 57290, 51074, 51240, 50892, 51889, 50849, 51925, 51079, 51070, 50905, 50428, 50913, 51006, 51350, 52192, 50432, 53297, 52256, 50433, 51011, 51538, 52326, 54829, 51249, 52783, 52109, 52783, 51818, 52783, 52684, 51680, 55340, 51803, 55314, 51680, 52033, 52140, 52225, 52222, 50798, 57837, 51058, 51070, 51006, 51355, 54887, 50438, 51355, 53306, 51180, 51006, 51889, 77848, 51006, 51355, 70591, 55639, 51166, 50449, 51236, 51432, 51889, 70184, 58088, 51466, 50454, 50903, 53710, 51254, 51236, 50938, 51889, 77848, 51254, 50460, 51355, 50978, 51809, 55639, 58090, 51402, 50838, 51270, 53313, 52190, 50845, 51070, 50974, 50422, 52367, 54887, 51355, 52192, 50427, 53297, 52916, 50428, 51213, 51538, 55349, 52140, 51719, 51662, 51249, 51939, 52109, 52431, 53654, 51662, 52684, 51592, 55340, 52140, 51656, 52062, 52430, 52222, 50798, 54042, 50901, 51270, 51387, 51070, 56298, 51316, 55744, 51254, 51270, 50987, 51889, 70739, 51006, 51659, 51058, 50443, 51292, 62523, 65256, 51142, 50446, 59456, 51142, 50448, 56601, 70936, 51076, 51079, 50903, 55992, 59694, 50865, 51236, 51824, 51845, 50978, 51070, 57299, 60189, 66145, 76889, 51240, 51737, 51659, 50901, 50460, 50947, 50981, 62855, 56104, 71589, 51058, 51240, 50987, 51889, 50865, 51925, 50978, 74113, 51809, 62672, 52946, 53214, 51254, 51659, 52782, 50419, 59570, 65173, 51019, 51538, 54369, 52528, 51231, 52015, 51672, 52015, 51818, 52140, 53278, 55482, 52507, 51677, 55340, 52335, 52187, 53588, 53499, 52222, 68559, 51749, 50798, 52201, 50873, 51070, 50892, 51350, 55544, 56200, 50835, 63668, 62886, 50791, 50987, 51889, 50978, 51070, 56480, 51236, 51697, 51889, 50892, 51350, 50905, 50443, 55639, 54758, 50903, 50938, 53226, 51236, 50977, 51889, 50937, 51070, 51006, 50455, 50791, 52192, 51270, 50987, 52190, 50977, 51070, 51006, 51350, 51824, 64402, 55811, 52177, 51011, 51623, 52326, 52431, 51249, 51592, 52109, 51592, 51818, 52783, 52684, 51939, 55340, 56329, 52225, 52140, 53828, 52062, 50798, 52808, 50901, 51070, 50974, 51350, 51697, 50427, 56200, 71699, 50791, 51166, 51236, 50845, 51889, 50805, 51845, 51166, 51070, 50974, 63668, 50912, 51355, 78239, 51845, 52731, 50438, 58088, 77563, 50903, 56022, 58589, 50865, 51845, 51376, 51925, 51058, 51070, 58867, 51240, 51737, 51355, 78876, 55639, 56989, 51019, 55548, 58174, 51376, 51240, 50987, 75862, 51925, 51254, 67728, 50454, 52367, 62356, 50913, 50838, 50460, 51213, 51161, 55349, 54829, 51719, 52168, 51249, 52168, 52109, 52980, 53654, 52431, 51656, 52263, 52430, 51878, 50798, 57837, 51058, 51070, 51006, 53297, 50857, 51659, 51174, 50799, 55639, 50907, 50416, 53297, 50907, 50419, 55639, 61211, 50421, 53297, 52514, 51510, 50838, 51889, 50892, 51070, 69192, 53297, 51697, 50428, 51224, 51174, 51270, 51006, 51889, 51058, 51659, 50978, 50431, 55639, 67494, 53297, 51022, 50434, 52684, 51738, 52187, 52263, 53499, 51749, 50903, 51370, 51079, 51326, 53872, 53024, 51270, 50905, 51889, 50892, 51070, 51079, 55639, 67009, 53297, 56458, 50439, 51065, 51254, 51180, 51006, 51065, 51058, 51236, 50866, 52190, 50866, 70501, 51659, 64533, 51065, 51387, 50451, 50998, 50978, 50453, 50929, 51677, 51076, 55086, 50455, 51019, 51161, 54369, 52916, 51231, 52140, 51672, 52140, 52109, 52431, 53278, 52140, 52507, 51592, 54008, 54887, 55340, 52980, 52033, 53588, 53828, 53588, 51316, 51742, 50798, 57837, 71589, 52731, 50856, 51824, 51321, 50987, 51065, 51006, 70501, 51350, 52783, 75695, 55360, 51159, 71810, 50434, 50843, 51376, 50439, 54063, 51775, 50852, 60649, 52515, 51591, 51011, 51161, 52326, 59828, 52102, 57598, 51249, 53849, 52109, 52062, 51818, 52431, 53278, 58643, 52684, 55116, 55340, 55174, 50798, 56022, 50937, 51769, 50938, 74113, 50461, 50791, 50987, 51889, 50978, 51070, 51006, 51355, 51058, 52478, 51236, 54071, 51889, 66700, 50903, 52201, 50845, 51236, 50805, 51889, 50873, 51070, 58125, 51355, 51174, 50434, 54063, 79518, 51387, 79668, 51070, 50838, 66651, 55811, 50445, 55360, 51397, 51011, 51623, 52109, 52168, 51818, 52528, 50798, 54260, 50977, 70501, 51453, 51470, 51270, 50978, 51889, 50938, 51845, 51470, 70501, 51355, 50866, 50461, 51845, 51697, 52478, 52285, 51411, 50903, 56022, 58589, 50865, 51236, 52192, 51845, 51376, 51925, 51058, 51070, 51006, 50424, 51240, 51376, 51355, 73058, 51950, 51312, 51011, 53834, 57290, 51074, 51240, 50892, 51889, 50849, 51925, 51079, 51070, 50905, 51250, 53024, 50434, 50913, 51006, 50440, 52285, 51535, 51019, 51358, 54369, 52916, 51231, 51592, 51672, 52140, 51818, 52140, 53278, 52431, 55314, 51592, 50798, 54042, 50974, 51070, 50838, 51250, 51166, 50445, 51350, 54071, 52320, 51006, 51889, 77848, 51006, 51350, 54887, 50454, 65256, 51524, 50456, 51236, 51432, 51889, 50974, 51350, 67590, 59456, 74981, 56601, 51210, 50461, 52285, 51025, 60189, 79488, 53710, 51254, 51236, 50938, 51889, 77848, 51254, 60212, 51950, 51109, 62008, 56601, 52873, 50838, 51270, 53313, 52190, 50845, 51070, 78239, 52515, 51109, 51205, 51623, 51719, 51680, 51672, 52783, 52571, 53486, 51457, 52783, 52583, 51680, 53654, 51662, 54008, 52140, 50798, 54042, 50901, 51270, 51387, 51070, 65867, 60189, 77118, 51780, 63693, 54063, 51562, 50791, 51254, 51270, 50987, 51889, 70739, 57299, 51780, 54900, 50903, 55992, 59694, 50865, 51236, 51824, 51845, 50978, 51070, 51006, 50461, 51240, 51737, 53069, 54063, 51377, 51205, 55548, 71589, 51058, 51240, 50987, 51889, 50865, 51925, 50978, 74113, 51780, 66910, 65256, 52179, 50424, 50913, 51254, 51250, 51128, 50425, 59456, 51524, 50427, 56601, 56552, 57489, 51417, 51019, 51538, 51231, 52062, 51672, 51939, 51818, 52140, 54369, 54171, 60189, 59083, 52201, 50873, 51070, 50892, 51350, 51851, 66651, 50892, 51889, 50905, 51070, 50838, 51350, 58545, 60189, 62232, 58448, 70003, 51236, 54071, 51889, 58038, 62855, 63653, 54063, 51400, 50903 ]

[ 0, 4688, 20425, 8, 15352, 30054, 5175, 3836, 1349, 11, 230, 10431, 538, 6, 4246, 10, 38668, 483, 6, 38668, 9590, 6, 21072, 6, 2236, 1021, 2678, 29, 6, 8, 38668, 20535, 4, 590, 10, 1769, 20889, 9, 22236, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 10, 5705, 19983, 33215, 16739, 9, 274, 10431, 6, 230, 10431, 6, 2060, 6, 274, 10431, 6, 8, 230, 10431, 6, 2351, 10, 11299, 8, 3366, 219, 5466, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 61627, 53955, 50795, 52077, 56646, 52685, 50795, 52655, 56160, 53955, 50795, 52077, 54403, 53286, 51091, 52914, 51541, 50461, 52606, 51748, 52582, 51748, 52252, 51748, 76501, 52525, 56210, 52077, 51496, 50461, 53496, 52720, 52582, 52720, 52072, 52720, 55746, 52708, 56087, 54570, 63437, 52077, 51541, 50799, 52077, 67566, 52708, 56087, 54570, 63437, 52077, 63962, 52753, 52282, 50461, 53496, 51748, 51821, 51748, 52398, 51748, 61627, 52708, 64466, 52753, 51090, 50461, 52606, 51748, 52582, 51748, 52252, 51748, 50799, 55013, 52244, 55013, 53184, 54205, 51973, 53955, 50882, 53216, 58465, 54205, 52559, 53955, 50911, 53216, 50911, 54133, 52057, 53761, 50882, 52525, 50882, 54133, 54134, 55013, 52284, 53761, 50882, 52525, 57674, 55013, 52741, 53761, 50911, 52525, 50911, 54205, 52163, 53859, 51090, 52077, 51090, 54133, 52937, 54133, 62923, 53496, 52720, 52582, 52720, 52072, 52720, 50799, 55013, 52244, 52685, 51090, 52708, 51090, 55013, 53184, 54205, 53300, 54205, 52559, 53955, 51090, 54570, 51090, 54133, 52057, 54133, 54134, 55013, 52284, 53859, 51541, 52077, 51541, 50447, 55013, 52741, 54205, 52163, 54133, 52937, 54133, 50808, 50799, 53859, 51427, 52077, 51090, 54205, 52244, 54205, 53184, 54133, 51973, 52685, 50911, 52708, 68350, 54133, 52559, 53955, 51427, 54570, 51090, 53190, 52057, 53190, 54134, 54205, 52284, 53859, 51090, 52077, 51090, 50447, 54205, 52741, 54133, 52163, 53286, 51496, 52753, 51496, 53190, 52937, 53190, 62923, 53496, 51748, 51821, 51748, 52398, 51748, 50799, 54097, 52244, 54097, 53184, 52696, 51973, 53859, 50911, 52077, 68350, 52696, 52559, 53286, 51090, 52753, 51090, 53190, 52057, 53190, 54134, 54097, 52284, 53859, 50911, 52077, 75476, 54097, 52741, 53286, 50911, 52753, 50911, 52696, 52163, 52685, 50911, 52708, 51427, 53190, 52937, 53190, 50808, 50799, 54306, 51111, 54135, 51100, 54685, 50817, 58233, 54024, 56845, 52302, 54862, 50817, 58233, 55747, 54862, 50817, 59143, 51973, 54306, 50805, 54135, 50849, 56845, 54396, 56845, 50817, 59143, 53974, 54862, 50817, 60601, 52674, 54306, 50910, 54135, 50897, 54862, 52676, 52525, 50882, 56845, 50817, 60601, 61032, 54306, 50846, 54135, 50828, 54862, 50817, 58233, 52284, 54306, 50805, 54135, 50849, 52525, 50882, 54862, 53851, 56845, 50817, 58233, 54721, 52490, 50805, 54048, 50849, 52525, 50911, 54862, 50817, 59143, 53532, 54862, 52193, 53178, 50805, 53377, 50849, 52077, 51496, 56845, 50817, 60601, 52937, 54862, 50817, 60601, 50859, 50799, 54916, 51111, 53178, 51100, 54685, 50817, 56091, 54024, 54685, 52302, 53355, 50817, 56091, 55747, 53355, 50817, 58957, 51973, 54916, 50805, 53178, 50849, 52708, 50911, 54685, 54396, 54685, 50817, 58957, 53974, 54570, 51090, 53355, 50817, 60601, 52674, 54916, 50910, 53178, 50897, 53355, 52676, 54685, 50817, 60601, 61032, 54916, 50846, 53178, 50828, 53355, 50817, 56091, 52284, 54916, 50910, 53178, 50897, 52077, 51090, 53355, 53851, 54685, 50817, 56091, 54721, 52999, 50805, 52293, 50849, 53355, 50817, 58957, 53532, 53355, 52193, 53185, 50805, 52960, 50849, 54685, 50817, 60601, 52937, 53355, 50817, 60601, 50859, 72014, 51111, 53377, 51100, 55537, 50817, 56091, 54024, 55537, 52302, 53714, 50817, 56091, 55747, 53714, 50817, 55452, 51973, 53178, 50805, 53377, 50849, 55537, 54396, 55537, 50817, 55452, 53974, 53714, 50817, 58957, 52674, 53178, 50910, 53377, 50897, 53714, 52676, 52077, 50911, 55537, 50817, 58957, 61032, 53178, 50846, 53377, 50828, 53714, 50817, 56091, 52284, 53178, 50805, 53377, 50849, 52525, 50911, 53714, 53851, 55537, 50817, 56091, 54721, 52293, 50805, 53776, 50849, 52077, 50882, 53714, 50817, 55452, 53532, 53714, 52193, 52960, 50805, 56820, 50849, 52077, 50911, 55537, 50817, 58957, 52937, 53714, 50817, 58957, 50859, 50799, 53185, 51111, 52960, 51100, 52753, 52282, 56256, 50817, 55087, 54024, 56256, 52302, 54427, 50817, 55087, 55747, 54427, 50817, 58957, 51973, 53185, 50805, 52960, 50849, 56256, 54396, 56256, 50817, 58957, 53974, 54427, 50817, 62700, 52674, 53185, 50910, 52960, 50897, 54427, 52676, 56256, 50817, 62700, 61032, 53185, 50846, 52960, 50828, 54427, 50817, 55087, 52284, 53185, 50805, 52960, 50849, 52077, 51427, 54427, 53851, 56256, 50817, 55087, 54721, 51874, 50805, 52595, 50849, 52753, 50911, 54427, 50817, 58957, 53532, 54427, 52193, 52556, 50805, 55058, 50849, 52708, 51090, 56256, 50817, 62700, 52937, 54427, 50817, 62700, 50859, 50799, 54306, 51111, 54135, 51100, 54685, 50817, 58233, 54024, 56845, 52302, 54862, 50817, 58233, 55879, 53868, 54862, 50817, 59143, 51973, 54306, 50805, 54135, 50849, 56845, 50898, 55001, 56845, 50817, 59143, 53974, 54862, 50817, 60601, 51858, 54248, 54306, 50910, 54135, 50897, 54862, 52676, 52525, 50882, 56845, 50817, 60601, 50859, 51956, 50441, 54306, 50846, 54135, 50828, 54862, 50817, 58233, 52284, 54306, 50805, 54135, 50849, 52525, 50882, 54862, 53851, 56845, 50817, 58233, 54721, 52490, 50805, 54048, 50849, 52525, 50911, 54862, 50817, 59143, 53532, 54862, 52193, 53178, 50805, 53377, 50849, 52077, 51496, 56845, 50817, 60601, 51858, 54603, 54862, 50817, 60601, 50859, 50799, 54916, 51111, 53178, 51100, 54685, 50817, 56091, 51052, 56572, 54685, 52302, 53355, 50817, 56091, 55879, 53868, 53355, 50817, 58957, 51973, 54916, 50805, 53178, 50849, 52708, 50911, 54685, 50898, 55001, 54685, 50817, 58957, 53974, 54570, 51090, 53355, 50817, 60601, 51858, 54248, 54916, 50910, 53178, 50897, 53355, 52676, 54685, 50817, 60601, 50859, 51956, 50441, 54916, 50846, 53178, 50828, 53355, 50817, 56091, 52284, 54916, 50910, 53178, 50897, 52077, 51090, 53355, 53851, 54685, 50817, 56091, 54721, 52999, 50805, 52293, 50849, 53355, 50817, 58957, 53532, 53355, 52193, 53185, 50805, 52960, 50849, 54685, 50817, 60601, 52937, 53355, 50817, 60601, 50859, 72014, 51111, 53377, 51100, 55537, 50817, 56091, 54024, 55537, 52302, 53714, 50817, 56091, 55879, 53868, 53714, 50817, 55452, 51973, 53178, 50805, 53377, 50849, 55537, 50898, 55001, 55537, 50817, 55452, 53974, 53714, 50817, 58957, 51858, 54248, 53178, 50910, 53377, 50897, 53714, 52676, 52077, 50911, 55537, 50817, 58957, 50859, 51956, 50441, 53178, 50846, 53377, 50828, 53714, 50817, 56091, 52284, 53178, 50805, 53377, 50849, 52525, 50911, 53714, 53851, 55537, 50817, 56091, 54721, 52293, 50805, 53776, 50849, 52077, 50882, 53714, 50817, 55452, 53532, 53714, 52193, 52960, 50805, 56820, 50849, 52077, 50911, 55537, 50817, 58957, 51858, 54603, 53714, 50817, 58957, 50859, 50799, 53185, 51111, 52960, 51100, 52753, 52282, 56256, 50817, 55087, 51052, 56572, 56256, 52302, 54427, 50817, 55087, 55879, 53868, 54427, 50817, 58957, 51973, 53185, 50805, 52960, 50849, 56256, 50898, 55001, 56256, 50817, 58957, 53974, 54427, 50817, 62700, 51858, 54248, 53185, 50910, 52960, 50897, 54427, 57776, 50770, 50319, 52282, 50438, 56256, 50817, 62700, 50859, 51956, 50441, 53185, 50846, 52960, 50828, 54427, 50817, 55087, 52284, 53185, 50805, 52960, 50849, 52077, 50911, 54427, 51759, 54492, 56256, 50817, 55087, 54721, 51874, 50805, 52595, 50849, 52753, 50911, 54427, 50817, 58957, 51052, 55423, 54427, 52193, 52556, 50805, 55058, 50849, 52708, 50911, 56256, 50817, 62700, 51858, 54603, 54427, 50817, 62700, 50859, 72014, 50805, 53377, 53834, 52885, 53403, 50816, 60480, 50816, 63501, 50816, 50884, 51694, 53230, 51456 ]

[ 0, 713, 20425, 8, 15352, 30054, 3495, 3152, 2214, 6, 278, 11, 163, 3694, 6, 1575, 10, 20902, 11739, 9, 38668, 3038, 6, 32909, 6, 3152, 6757, 6, 1076, 560, 31365, 25999, 6, 8, 31391, 1672, 9590, 4, 590, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1931, 21683, 10, 1372, 8, 33558, 16464, 6, 442, 24, 157, 12, 9228, 4560, 13, 2365, 9629, 4, 20, 33215, 16739, 9, 1918, 1176, 406, 6, 163, 119, 406, 6, 230, 10431, 119, 406, 6, 8, 211, 119, 1176, 406, 3639, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

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

[ 0, 250, 1144, 26016, 3495, 2214, 14, 19369, 5, 4780, 9, 1619, 6, 5378, 16364, 19, 11098, 8, 657, 4, 20, 7212, 20889, 8, 204, 73, 306, 86, 6543, 1045, 10, 32625, 13569, 9862, 6, 150, 5, 6755, 12547, 6, 13305, 6, 21979, 8, 3459, 29589, 6, 8, 856, 17993, 35810, 561, 10, 5797, 990, 1506, 9, 17627, 17274, 34879, 4, 8504, 11, 5, 762, 9, 163, 538, 6, 5, 2214, 1575, 10, 16331, 33215, 16739, 9, 3676, 1176, 406, 6, 274, 10431, 6, 8, 163, 6, 1271, 7, 63, 33558, 8, 11653, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 53028, 50981, 51544, 50981, 51570, 59242, 51326, 52743, 51326, 50967, 55524, 51191, 50965, 51191, 51086, 51191, 51315, 51413, 51493, 51343, 74077, 51060, 51217, 55157, 51016, 51206, 60726, 71346, 51060, 51042, 59218, 52580, 70731, 51060, 66588, 50868, 53677, 50943, 77569, 51042, 63096, 51573, 50432, 51493, 50893, 55233, 64539, 53071, 50893, 52066, 63809, 51191, 51040, 51191, 50916, 51191, 51279, 51103, 51216, 51356, 50946, 50983, 51230, 50966, 51343, 50444, 71346, 63296, 51060, 71330, 63224, 50868, 54572, 50943, 73132, 60104, 50903, 51573, 50456, 59829, 63296, 50830, 52066, 50461, 51503, 51413, 53975, 51191, 51176, 51191, 50956, 51351, 51522, 51343, 51396, 59564, 51016, 52068, 50420, 70731, 57680, 59218, 52580, 50979, 56792, 54180, 50943, 51396, 66061, 63096, 51573, 50431, 53546, 69467, 51522, 62773, 54070, 50893, 52066, 50437, 50965, 51413, 59419, 51189, 51040, 51189, 51360, 51103, 51868, 51356, 52540, 50918, 51230, 50966, 51343, 50444, 61991, 51060, 51017, 50983, 71330, 55818, 55787, 51112, 50992, 51112, 50992, 50981, 51017, 51003, 60104, 50903, 51573, 74330, 56310, 51191, 50916, 51189, 51040, 51218, 51279, 51103, 51216, 51343, 74077, 50795, 51688, 54805, 51016, 52068, 50419, 71346, 51060, 67653, 66009, 63074, 51017, 64002, 70731, 51060, 50868, 54572, 50943, 51017, 51241, 50868, 51241, 50903, 51573, 50432, 51705, 50893, 55818, 50983, 50946, 54070, 50893, 73208, 51086, 51241, 50956, 51191, 50989, 51241, 51324, 51103, 51668, 51356, 51791, 51091, 51230, 50966, 51343, 50444, 51042, 51477, 52066, 50449, 50761, 50307, 52728, 50979, 50991, 50944, 51048, 50979, 50943, 73904, 50944, 63096, 51573, 74330, 51621, 55971, 50761, 50307, 50854, 57551, 51591, 50916, 51591, 50965, 51790, 51086, 51518, 51493, 51343, 51217, 55157, 51016, 52068, 50416, 74077, 71785, 51042, 52201, 52580, 71103, 63060, 50868, 51218, 50992, 51218, 51042, 51417, 50903, 51573, 50432, 51493, 76107, 53071, 50893, 73208, 51668, 51016, 51791, 51291, 51230, 50966, 51343, 50444, 51042, 50938, 71330, 52659, 77758, 65102, 53677, 50943, 77569, 51042, 63096, 51573, 50456, 51042, 50865, 52066, 50799, 51846, 60973, 63403, 51191, 51086, 51191, 51315, 51413, 51493, 51356, 51217, 59564, 51343, 52068, 64308, 50976, 51042, 59218, 52580, 51311, 50976, 63060, 66588, 73948, 50992, 51056, 51042, 63096, 51573, 50432, 51317, 50824, 51042, 51049, 53269, 50916, 61915, 51191, 51040, 51241, 51279, 51103, 51216, 51356, 51688, 50983, 51230, 50966, 51343, 50444, 51131, 62988, 51060, 71330, 63060, 51017, 54572, 50943, 60104, 51017, 51241, 50903, 51573, 50456, 52028, 62988, 51049, 50851, 57126, 51662, 50973, 51518, 50956, 51518, 51324, 51894, 51668, 51356, 51791, 59564, 51343, 52068, 50420, 51846, 50948, 51042, 52201, 52580, 50944, 59897, 50830, 50935, 63096, 51573, 50432, 51042, 51370, 53269, 51668, 51356, 51125, 51393, 50291, 50983, 51230, 50966, 51343, 50444, 51042, 68855, 51121, 71330, 66484, 63138, 51042, 63096, 51573, 50456, 51574, 50976, 51042, 50865, 52066, 50799, 51846, 60973, 51189, 51086, 51218, 50965, 51189, 51315, 51103, 51493, 51356, 51217, 55157, 51343, 52068, 64308, 62858, 52808, 52580, 51311, 65101, 50830, 63060, 60104, 77569, 51042, 51241, 50903, 51573, 50432, 51317, 50824, 51042, 51049, 64704, 51279, 51103, 60496, 51191, 51040, 51191, 50916, 51191, 51216, 51356, 51688, 50983, 51230, 50966, 51343, 50444, 51131, 62988, 50805, 71330, 63060, 51017, 54572, 50943, 60104, 51017, 51241, 50903, 51573, 50456, 51136, 51795, 50946, 51049, 50851, 58066, 51189, 50989, 51591, 50973, 51591, 50956, 51591, 51668, 51356, 51791, 59564, 51343, 52068, 50420, 51042, 59218, 63074, 59829, 63559, 50979, 63538, 50830, 50979, 51218, 51042, 51417, 50944, 51417, 50903, 51573, 50427, 50979, 54372, 53546, 65224, 50830, 73208, 51668, 51356, 55715, 51295, 51791, 50983, 51230, 50966, 51343, 50444, 51042, 51044, 53567, 66484, 63138, 50944, 66061, 50943, 51042, 51241, 50903, 51573, 50455, 63718, 54424, 51574, 50975, 51042, 50865, 52066, 50458, 54269, 64098, 50916, 51191, 50965, 51191, 51086, 51189, 63718, 51127, 50799, 51846, 50802, 51315, 51103, 51493, 51356, 51217, 59564, 51343, 52068, 64308, 50976, 51042, 64532, 52580, 51311, 50976, 50868, 67231, 65102, 51056, 50992, 51056, 51042, 63096, 51573, 50432, 51317, 50824, 51042, 51049, 64704, 55233, 51103, 60496, 51191, 50916, 51189, 51040, 51189, 51279, 51103, 51216, 51356, 51688, 50918, 51230, 50966, 51343, 50444, 51131, 62988, 51370, 53567, 51017, 53677, 53677, 51056, 71047, 51017, 63096, 51573, 50456, 51136, 62988, 50865, 52066, 53975, 51191, 50965, 51191, 50956, 51241, 51503, 51127, 51522, 51343, 70731, 50914, 51396, 55157, 51343, 52068, 50420, 51846, 57513, 53710, 52580, 55540, 50915, 50979, 56792, 61009, 51056, 50885, 51056, 50979, 61737, 51573, 50432, 78453, 51522, 62773, 50865, 73208, 51360, 63403, 51191, 50916, 51189, 51040, 51413, 51868, 51356, 63913, 50915, 52540, 50918, 51230, 50966, 51343, 50444, 51317, 50976, 51017, 50983, 52066, 50449, 50992, 52728, 51311, 50802, 51324, 50914, 74077, 51486, 79493, 73132, 60104, 50992, 63096, 51573, 50456, 51846, 51331, 50851, 65962, 50975, 50916, 51189, 50877, 51189, 51040, 51413, 51279, 51103, 51216, 51343, 51688, 54805, 51343, 52068, 50420, 52028, 50976, 50946, 70096, 52580, 51846, 70620, 53677, 53677, 50943, 71047, 51017, 63096, 51573, 50432, 51311, 51029, 51705, 66341, 50830, 52066, 50437, 71346, 80179, 50973, 51191, 50956, 51189, 50989, 51189, 51324, 51103, 51668, 51356, 51791, 50983, 51230, 50966, 51343, 50444, 51042, 51060, 71330, 51311, 50976, 66484, 63138, 50979, 50943, 67766, 51042, 51241, 50903, 51573, 50456, 51846, 50993, 51042, 50833, 52066, 55524, 51894, 50965, 51945, 51086, 51945, 51315, 51894, 51493, 51343, 51217, 55157, 51016, 52068, 50417, 52028, 54718, 51574, 51675, 70731, 63243, 57154, 53591, 55233, 50897, 60454, 70731, 59243, 50830, 63060, 50868, 51241, 50992, 51241, 51042, 51241, 50903, 51573, 50432, 51493, 50893, 55818, 63243, 51730, 50893, 52066, 50435, 61991, 52841, 51668, 51016, 55818, 51103, 51791, 51091, 51230, 50966, 51343, 50444, 51042, 53934, 50938, 50449, 54872, 56697, 52659, 75736, 56792, 53677, 50943, 77569, 51042, 51241, 51465, 51423, 50903, 51573, 52066, 50455, 52326, 77228, 51042, 50809, 51719, 51328, 52066, 50799, 51846, 60973, 51800, 50303, 51241, 50965, 51191, 51315, 51103, 51493, 51356, 51217, 50983, 53008, 51009, 51465, 51477, 52571, 51477, 51651, 78813, 51356, 50856, 51419, 64308, 62858, 64532, 52580, 51311, 65101, 50865, 50868, 59687, 50943, 60104, 50992, 63096, 51573, 50432, 51317, 50824, 51042, 51049, 53269, 50877, 51191, 50916, 51191, 51040, 51218, 51279, 51103, 51216, 51356, 51688, 50983, 51664, 51009, 51249, 51542, 51465, 51542, 52102, 51542, 52326, 51244, 51230, 50966, 51343, 50444, 51131, 62988, 51370, 53567, 63060, 51017, 53006, 51056, 51017, 50981, 60104, 50903, 51573, 50455, 50965, 53268, 52028, 62988, 50865, 52066, 56178, 51692, 50989, 51518, 51086, 51894, 51324, 51307, 51668, 51343, 51791, 50983, 51912, 51184, 51719, 51939, 51672, 51939, 51687, 51939, 52571, 79780, 51016, 52068, 50420, 51846, 76107, 60596, 52580, 66484, 63138, 50979, 51318, 50944, 51318, 51042, 51477, 50903, 51573, 50432, 51668, 76107, 51730, 50893, 73208, 51378, 50802, 51668, 51356, 51791, 50918 ]

[ 0, 250, 765, 15855, 2125, 19, 10, 25306, 619, 6, 42, 15229, 1931, 21683, 10, 19448, 8, 5679, 26709, 13569, 9862, 6, 1969, 13, 5, 1619, 191, 4, 8504, 11, 5, 762, 9, 2060, 538, 8, 1375, 23, 10, 7212, 20889, 6, 24, 1575, 10, 24897, 3222, 5785, 227, 6755, 12547, 6, 21979, 8669, 6, 13305, 6, 1893, 43639, 6, 8, 31391, 1672, 9590, 4, 20, 86, 6543, 9, 112, 73, 306, 3639, 10, 2216, 41063, 15796, 7510, 7, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50628, 52274, 51034, 51360, 51677, 54978, 51896, 54978, 51896, 53805, 51592, 53805, 51592, 51957, 51790, 66650, 51452, 51846, 51591, 51846, 51591, 61104, 51145, 50956, 51145, 50871, 51080, 51317, 51080, 51317, 51080, 51136, 51080, 51136, 51080, 50970, 51447, 50970, 51447, 50443, 57249, 51014, 57249, 77572, 54978, 50952, 54978, 50952, 50449, 57355, 52311, 57355, 52311, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51692, 66650, 51742, 51846, 51680, 51846, 51680, 61104, 51448, 50956, 51448, 50989, 51448, 51317, 51627, 51317, 51627, 51136, 51627, 51136, 51627, 51078, 51627, 51078, 51627, 50442, 57454, 50936, 57454, 50936, 50445, 57355, 51021, 57355, 51021, 50448, 54978, 50914, 54978, 50914, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51692, 66650, 51103, 51846, 51183, 51846, 51183, 50425, 57249, 51226, 57249, 51226, 61104, 51677, 50956, 51677, 71578, 50970, 51080, 50970, 51080, 51317, 51592, 51317, 51592, 51136, 51592, 51136, 51592, 50438, 60530, 51013, 60530, 51013, 51034, 51503, 51677, 57249, 51294, 57249, 51294, 58999, 51592, 58999, 51592, 54457, 51790, 50420, 51197, 51535, 52562, 52598, 52562, 52598, 70562, 51310, 51040, 51337, 50956, 51244, 66964, 51124, 66964, 51124, 51317, 52059, 51317, 52059, 51846, 51283, 51846, 51283, 51136, 51703, 51136, 51703, 55203, 51391, 50986, 51961, 50986, 51961, 51602, 51003, 50439, 66964, 50943, 66964, 50943, 51034, 51360, 51677, 54978, 51896, 54978, 51896, 53805, 51592, 53805, 51592, 51957, 51486, 66650, 51790, 51846, 51790, 51846, 51790, 61104, 51244, 50956, 51244, 50871, 51080, 50970, 51447, 50970, 51447, 51317, 51703, 51317, 51703, 51136, 51703, 51136, 51703, 50442, 57249, 50921, 57249, 50921, 50445, 54978, 50952, 54978, 50952, 50448, 57355, 51896, 57355, 51896, 51034, 51360, 51592, 53805, 52431, 53805, 52431, 51957, 51486, 66650, 51790, 51846, 51790, 51846, 51790, 61104, 51145, 50956, 51145, 50989, 51145, 51317, 51080, 51317, 51080, 51136, 51080, 51136, 51080, 51078, 51080, 51078, 51080, 50443, 57454, 50936, 57454, 50936, 50445, 57355, 50924, 57355, 50924, 50448, 54978, 51204, 54978, 51204, 51034, 51360, 50839, 51360, 51677, 53805, 50829, 53805, 50829, 53805, 51592, 53805, 51592, 51957, 51562, 66650, 51790, 51846, 51790, 51846, 51790, 61104, 51244, 50956, 51244, 50871, 51080, 57249, 51013, 57249, 51013, 50970, 51447, 50970, 51447, 51317, 51703, 51317, 51703, 51136, 51703, 51136, 51703, 50438, 60530, 51204, 60530, 51204, 51957, 51003, 51034, 51503, 51592, 57249, 51896, 57249, 51896, 58999, 52431, 58999, 52431, 51602, 51790, 50420, 51197, 51677, 52562, 51592, 52562, 67778, 51176, 79304, 61579, 50981, 50986, 51330, 50986, 51330, 51136, 50932, 51136, 50932, 51846, 51148, 51846, 65680, 51040, 51351, 50871, 51351, 51317, 51419, 51317, 51419, 50970, 51419, 50970, 51419, 54457, 51159, 51034, 51966, 51486, 54899, 51358, 54899, 51358, 68643, 51692, 68643, 51692, 56258, 54994, 51360, 51803, 53805, 52980, 53805, 52980, 50426, 51378, 51183, 50997, 51183, 51040, 51145, 50989, 51183, 52028, 51148, 52028, 51148, 51078, 51080, 51078, 51080, 51246, 51148, 51246, 51148, 51317, 51080, 51317, 51080, 55827, 50914, 50442, 57454, 50865, 57454, 70425, 54899, 50830, 54899, 50830, 50448, 57454, 50983, 57454, 50983, 74968, 51790, 58397, 51803, 58397, 51803, 51132, 51692, 60284, 51790, 51504, 51790, 51504, 51790, 50425, 60530, 51346, 60530, 51346, 70562, 51145, 51040, 51145, 50871, 51183, 50970, 51148, 50970, 51148, 51846, 51080, 51846, 51080, 51317, 51080, 51317, 51080, 50439, 60530, 51055, 60530, 51055, 51034, 51966, 51742, 54899, 51896, 54899, 51896, 68643, 51680, 68643, 51680, 56258, 65516, 51378, 51183, 52028, 51148, 52028, 51148, 56759, 51148, 51040, 51145, 50989, 51145, 51246, 51490, 51246, 51490, 51317, 51080, 51317, 51080, 51078, 51080, 51078, 51080, 51640, 51183, 50443, 53862, 50800, 53862, 57295, 54899, 50938, 54899, 50938, 74968, 51183, 57454, 51486, 57454, 51486, 58397, 51148, 58397, 51148, 51132, 51692, 60284, 51448, 51504, 52263, 51504, 52263, 70562, 51310, 50871, 51310, 51040, 51448, 51846, 51965, 51846, 51965, 50970, 51965, 50970, 51965, 51317, 52263, 51317, 52263, 50438, 51247, 50943, 58397, 50915, 58397, 50915, 72316, 51677, 57355, 51685, 57355, 51685, 52562, 52431, 52562, 52431, 51533, 51486, 56363, 51692, 51246, 51692, 51246, 51692, 61104, 51244, 50989, 51145, 50906, 51145, 51064, 51080, 51064, 51080, 51078, 51080, 51078, 51080, 51317, 51703, 51317, 51703, 50442, 57454, 50921, 57454, 62888, 57355, 50921, 57355, 50921, 50449, 54978, 51204, 54978, 51204, 68792, 51680, 53271, 52783, 53271, 52783, 51526, 51486, 60284, 51790, 51504, 51790, 51504, 51790, 61104, 68026, 51183, 50965, 51145, 57249, 51013, 57249, 51013, 51317, 51447, 51317, 51447, 50970, 51183, 50970, 51183, 51169, 51080, 51169, 60934, 60530, 51055, 60530, 51055, 50449, 57249, 54300, 57249, 54300, 51034, 51324, 51592, 53092, 52431, 53092, 52431, 51910, 51486, 50420, 51378, 51452, 52028, 51591, 52028, 51591, 71241, 51680, 50997, 51742, 51040, 51183, 50956, 51145, 51317, 51148, 51317, 51148, 51136, 51447, 51136, 51447, 51246, 51680, 51246, 51680, 51078, 52783, 51078, 52783, 51034, 51503, 51677, 58999, 52431, 58999, 52431, 51602, 64739, 51197, 51803, 52562, 51803, 52562, 51803, 50426, 51378, 51145, 51040, 65227, 51145, 50989, 51080, 51317, 50995, 51317, 50995, 52028, 51080, 52028, 51080, 51136, 51080, 51136, 51080, 51078, 51447, 51078, 51447, 55203, 51255, 77465, 77465, 54457, 50914, 51034, 51360, 51692, 53805, 51592, 53805, 51592, 51957, 51486, 53599, 52250, 50415, 54157, 51358, 54157, 51358, 51201, 52168, 51690, 52168, 66650, 51452, 51846, 51591, 51846, 51591, 61104, 51145, 50956, 51145, 71578, 51317, 51080, 51317, 51080, 51136, 51080, 51136, 51080, 50970, 51447, 50970, 51447, 50443, 54542, 50859, 54542, 50859, 78805, 51811, 62182, 54157, 50952, 54157, 50952, 51201, 50933, 51690, 69945, 57794, 51358, 57794, 51358, 51600, 52168, 52405, 52168, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51623, 66650, 51677, 51846, 51592, 51846, 51592, 61104, 51448, 50956, 51448, 50989, 51448, 51317, 51627, 51317, 51627, 51136, 51627, 51136, 51627, 51078, 51627, 51078, 51627, 50442, 57436, 50830, 57436, 50830, 51629, 51051, 52838, 68982, 51602, 51111, 50445, 57794, 50800, 57794, 50800, 51600, 50851, 52405, 70635, 54157, 51204, 54157, 51204, 51201, 51961, 51690, 51961, 51034, 51360, 51591, 53805, 51790, 53805, 51790, 51957, 51591, 66650, 51103, 51846, 51183, 51846, 51183, 61104, 51677, 50956, 51677, 71578, 54542, 51013, 54542, 51013, 50970, 51080, 50970, 51080, 51317, 51592, 51317, 51592, 51136, 51592, 51136, 51592, 51395, 50932, 51811, 54498, 56841, 51204, 56841, 51204, 51488, 51961, 51905, 51961, 50444, 51957, 50795, 51034, 51503, 51677, 58999, 51592, 58999, 51592, 51602, 51291, 53623, 51422, 50415, 54542, 50807, 54542, 50807, 51395, 51108, 51811, 67142, 51197, 51662, 52562, 52528, 52562, 52528, 50421, 55872, 54335, 51176, 51145, 51040, 51642, 50956, 51145, 57454, 50805, 57454, 50805, 51317, 52059, 51317, 52059, 51846, 51080, 51846, 51080, 51136, 51703, 51136, 51703, 51375, 51079, 51629, 51079, 50427, 52849, 54342, 53314, 53264, 50900, 51381, 57454, 50889, 57454, 50889, 50986, 51961, 50986, 51961, 51602, 50914, 51375, 51330 ]

[ 0, 250, 15855, 2125, 19, 5175, 4785, 6, 42, 33558, 1619, 2214, 11, 163, 428, 538, 1575, 41, 21979, 8669, 8, 13305, 981, 5, 33301, 6, 2800, 30, 21072, 6, 10, 6755, 12547, 6, 8, 41, 3459, 9590, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 26658, 149, 10, 33215, 13931, 9, 163, 428, 6, 274, 73, 250, 6, 12608, 73, 534, 6, 8, 274, 73, 347, 6, 2351, 10, 33928, 8, 15352, 30054, 5466, 1969, 13, 5, 2317, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50454, 50909, 51175, 51298, 51215, 52138, 50967, 56622, 50967, 75696, 51215, 51298, 50967, 52138, 51175, 56622, 51215, 50422, 50935, 51175, 51007, 51215, 52548, 51095, 54039, 51215, 50430, 50939, 50967, 51125, 51095, 52403, 50967, 54696, 70149, 51325, 51364, 51512, 51157, 51153, 51091, 51639, 51446, 52381, 51977, 50992, 51364, 50909, 51364, 52238, 51364, 52138, 51343, 51711, 52122, 52340, 52250, 53188, 52250, 75771, 52990, 53806, 50856, 53533, 51512, 51655, 50903, 52990, 66468, 53173, 51105, 51285, 51153, 51264, 50992, 51554, 50324, 50879, 71012, 50884, 76571, 51077, 50909, 50918, 51257, 51356, 52238, 51336, 52138, 51336, 57556, 51336, 50856, 53829, 51639, 52382, 56639, 50895, 51302, 52990, 52209, 51105, 50948, 52381, 51161, 50856, 52565, 51325, 51496, 76035, 52210, 50856, 61312, 50909, 50967, 51298, 51095, 52138, 51175, 56622, 64949, 51512, 51977, 50903, 53390, 66468, 57297, 50909, 51095, 51298, 50967, 52138, 51215, 56622, 58760, 51105, 51274, 51153, 51446, 71012, 50846, 75696, 51215, 51298, 51095, 52138, 51175, 56622, 51215, 50856, 52432, 52381, 50991, 71012, 56493, 50939, 50967, 51007, 51175, 52403, 51175, 54039, 59204, 51325, 52420, 51920, 63248, 50992, 51175, 50909, 51095, 52238, 50967, 52138, 58443, 51186, 62417, 53418, 51105, 51496, 51099, 51204, 51308, 51446, 51639, 51605, 74648, 50939, 50983, 51439, 51141, 52403, 51141, 52340, 51359, 52137, 51264, 52735, 51307, 56639, 52210, 69773, 51955, 52990, 66468, 53268, 51186, 52195, 51099, 51472, 50847, 51554, 50323, 50893, 71012, 50846, 64170, 51077, 51298, 50918, 51439, 51077, 56622, 50918, 50856, 53576, 51308, 51977, 71012, 72247, 53390, 53230, 51186, 51030, 51099, 66435, 54292, 51105, 51362, 51099, 50938, 51308, 51364, 51639, 51294, 52340, 51183, 52137, 51127, 52735, 51103, 56639, 53806, 51099, 51294, 50856, 53533, 51308, 51175, 50903, 53498, 75151, 52738, 51096, 51030, 51639, 50865, 50847, 60771, 51554, 50323, 50805, 52403, 50879, 52137, 50893, 52735, 51428, 54973, 50895, 55194, 51286, 51494, 50805, 80064, 51153, 62289, 50967, 51298, 51095, 52138, 50967, 56622, 51215, 53129, 51127, 52430, 51103, 52626, 51215, 52626, 51241, 54339, 72875, 54031, 56639, 60480, 51213, 58149, 51175, 51298, 51215, 52138, 50967, 56622, 51215, 52626, 51134, 54339, 51233, 50423, 51494, 50879, 63439, 79870, 51302, 57979, 53390, 57318, 50909, 51175, 51298, 51175, 52138, 51095, 56622, 51175, 52626, 51215, 54339, 51110, 50431, 51213, 51173, 51494, 50924, 51119, 50948, 51153, 57943, 51289, 53237, 50846, 53357, 51364, 51144, 51112, 51512, 51091, 51153, 51472, 50939, 51364, 51007, 51364, 52403, 51364, 54039, 51364, 52036, 51127, 53188, 51077, 52735, 51141, 52626, 51790, 52886, 51141, 76650, 53390, 53239, 50856, 53409, 51144, 51161, 50903, 51920, 79470, 53173, 50964, 51343, 51512, 51623, 50872, 56792, 50805, 51257, 50805, 52238, 50893, 52036, 51591, 53188, 51351, 56639, 50884, 76571, 51175, 50909, 50967, 52238, 50967, 52138, 50967, 53188, 51241, 52626, 51091, 50856, 52432, 51153, 51362, 76035, 60170, 50992, 51215, 50909, 50967, 52238, 51175, 52138, 50967, 53188, 51134, 52626, 51294, 50426, 50945, 55404, 53390, 63519, 50992, 50967, 50909, 51215, 52238, 51095, 52138, 51095, 53188, 51233, 52626, 70192, 66979, 50856, 53442, 51096, 51362, 51144, 51157, 51308, 51036, 51275, 51623, 50872, 51343, 50939, 50983, 51257, 50983, 52403, 51364, 52036, 51218, 52036, 51127, 53188, 51623, 52735, 51218, 52735, 51991, 76035, 53239, 50856, 53409, 51144, 51345, 50903, 53498, 66468, 52881, 50945, 51552, 51639, 51116, 50872, 50795, 51257, 50893, 52036, 51675, 62393, 50846, 62673, 51141, 50992, 50967, 50909, 51095, 52238, 51215, 52138, 51175, 53188, 51183, 52626, 51233, 50856, 52432, 51275, 50889, 71012, 61710, 68823, 50939, 50967, 51439, 51215, 52403, 50967, 52137, 50967, 52735, 51351, 50426, 51096, 55404, 53498, 59971, 50872, 51215, 50992, 51175, 51257, 51095, 52238, 51095, 52036, 51110, 53188, 74257, 63042, 50856, 54292, 51105, 51364, 51099, 50983, 51308, 51364, 51639, 51655, 50979, 51036, 50847, 51264, 51298, 51696, 51439, 51655, 52340, 51359, 52340, 51307, 52137, 51655, 52137, 51307, 52735, 51264, 62393, 53885, 50856, 50846, 51955, 53498, 79470, 53268, 51186, 51294, 51099, 51896, 62393, 50818, 55858, 53829, 51308, 50983, 76035, 53150, 51186, 62719, 51920, 53230, 52161, 63572, 54292, 51565, 51160, 51105, 51274, 51099, 51294, 51308, 51036, 51639, 51977, 52340, 51307, 52137, 51264, 52735, 51264, 52553, 72796, 54255, 51606, 51427, 51955, 51179, 50379, 52289, 52738, 52161, 50821, 51186, 51274, 51099, 51896, 52883, 50841, 78208, 50896, 52112, 50420, 51639, 51204, 52553, 53855, 51565, 50879, 63046, 58246, 52667, 51827, 51551, 51186, 50936, 52553, 53442, 50953, 51343, 51099, 51362, 51308, 51941, 51275, 51161, 51838, 51359, 52137, 51307, 52735, 51264, 52883, 68619, 50841, 51955, 51179, 67576, 52881, 51565, 51160, 50927, 51541, 51099, 51356, 72609, 51554, 50323, 51554, 50326, 50893, 52553, 50846, 76952, 51356, 51007, 51356, 52403, 51356, 54039, 77229, 52432, 51827, 50893, 52883, 52905, 60357, 51275, 51157, 58246, 54660, 51827, 56087, 65557, 51308, 54749, 51041, 53219, 52251, 51016, 51325, 51364, 51512, 51238, 52340, 51141, 53188, 50983, 52626, 51141, 52883, 53044, 51153, 51060, 63350, 51565, 50821, 51512, 65465, 51044, 50379, 52289, 52881, 51565, 51274, 51186, 51274, 51308, 51077, 51275, 51336, 52036, 51675, 52735, 51675, 52886, 51591, 52883, 50846, 50799, 52112, 50420, 52553, 52905, 51606, 50893, 50945, 60910, 51135, 52925, 52161, 51541, 51186, 51030, 52883, 53593, 51308, 53402, 51105, 51226, 51308, 51112, 51639, 51161, 52340, 51264, 52137, 51264, 52735, 51264, 52883, 73816, 59673, 50979, 51095, 68567, 51298, 50967, 51439, 67702, 51308, 51343, 58246, 66468, 59096, 72252, 50992, 50967, 51257, 51215, 52238, 68635, 51186, 51362, 51516, 51472, 52553, 50839, 64170, 51336, 50939, 51077, 51439, 50918, 52403, 51077, 52261, 50420, 51308, 51013, 52620, 52905, 51827, 51013, 51186, 60910, 51135, 52844, 51105, 51033, 52883, 53116, 52480, 50911, 50964, 51573, 51639, 51356, 52340, 51264, 52137, 51036, 52626, 51359, 52553, 73739, 55354, 52480, 55260, 51099, 51161, 59491, 75151, 52349, 52480, 50821, 50953, 52195, 51153, 51091, 52553, 50828, 78939, 51575, 53223, 51639, 51227, 52553, 54579, 52480, 50879, 51768, 51179, 52927, 52480, 50893, 50964, 52090, 51041, 53116, 51886, 51090, 50953, 51362, 51099, 51933, 51308, 51358, 51275, 51358, 51838, 51353, 52137, 51036, 52735, 51359, 52553, 53041, 50939, 50889, 51007, 50807, 52403, 50889, 54039, 50807, 63350, 51673, 50911, 59491, 50379, 52289, 52881, 51827, 50896, 50927, 51274, 51007, 51623, 51257, 51358, 54039, 51977, 57556, 51896, 52883, 50846, 50799, 52112, 50420, 51275, 51091, 52553, 53855, 51827, 51090, 75825, 51308, 50924, 59491, 52927, 69078, 51099, 53238, 51139, 52565, 51673, 50911, 51325, 51362, 51561, 50846, 51512, 50887, 51153, 50884, 52340, 51307, 53188, 51359, 52626, 51307, 52620, 53041, 51561, 51095, 51512, 51215, 51153, 50967, 50992, 51013, 74877, 52238, 51016, 52138, 50889, 75764, 51673, 50911, 51955, 51135, 67576, 52881, 51827, 50821, 51105, 51496, 51561, 50983, 51512, 51336, 51153, 51661, 50909, 51358, 51298, 51977, 52138, 51896, 56622, 51977, 52883, 50841, 50799, 52251, 50896, 52112, 50420 ]

[ 0, 250, 5679, 26709, 8, 19448, 5175, 2214, 19, 10, 15352, 30054, 13305, 483, 6, 14156, 19601, 30, 38668, 22052, 6, 41, 81, 9756, 8669, 6, 8, 10, 6755, 12547, 6, 70, 23396, 30, 10, 5204, 12638, 1451, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 2351, 10, 23975, 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, 0, 0, 0, 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, 53028, 50949, 51544, 50895, 51570, 50895, 52320, 50895, 55556, 54834, 50902, 74492, 51351, 50871, 51542, 50899, 51241, 54720, 52121, 51881, 52096, 58366, 52096, 51863, 52121, 52615, 50888, 50841, 55825, 52121, 52016, 52096, 64724, 52096, 52072, 52121, 56952, 52905, 50902, 51060, 50920, 52844, 50920, 53219, 50902, 51048, 50997, 59782, 51241, 50899, 51241, 50843, 53067, 53533, 50876, 62805, 50902, 51358, 55435, 60138, 61861, 51241, 50920, 53871, 52432, 50920, 52905, 50920, 52667, 50920, 53442, 50906, 51111, 50997, 59782, 61861, 51218, 50920, 52141, 55186, 79377, 50913, 52396, 51181, 61471, 51428, 52502, 52349, 50906, 51111, 50461, 53817, 52121, 52402, 52337, 55464, 52121, 52606, 52337, 54293, 53520, 50997, 51351, 78548, 50956, 51191, 51728, 50888, 52981, 50920, 52992, 50951, 51158, 50920, 52844, 50920, 53116, 50951, 66677, 51351, 50997, 51241, 50956, 51295, 50843, 53067, 53533, 51147, 55037, 50951, 51294, 55435, 58657, 66715, 68078, 52079, 52981, 50920, 57074, 50931, 64002, 50920, 59185, 50951, 69467, 50920, 53442, 50861, 72893, 51241, 50956, 74256, 55657, 53806, 50931, 69046, 53409, 51533, 52297, 50323, 60096, 54739, 52881, 50931, 70886, 54720, 52121, 55825, 52121, 50461, 51881, 52337, 52016, 52337, 55556, 51655, 50931, 73569, 51134, 50871, 51241, 50899, 51218, 51728, 50888, 53223, 50920, 52905, 50906, 52542, 52844, 50906, 51294, 50920, 53219, 50997, 51351, 50871, 51351, 50899, 51351, 50843, 53067, 53533, 50906, 51294, 55556, 51933, 50997, 77240, 70022, 51115, 50871, 51218, 50920, 53871, 52432, 50920, 59824, 50902, 70266, 50920, 59483, 50876, 51472, 50432, 50920, 53442, 50997, 59782, 51191, 50899, 74256, 55657, 52210, 50913, 52396, 51181, 56793, 55154, 52349, 50861, 54300, 54293, 53520, 51197, 51056, 51026, 51253, 50997, 50807, 53817, 51717, 52402, 52121, 50920, 53756, 50895, 55464, 51717, 52606, 52121, 56952, 52992, 50920, 52844, 50920, 53116, 51197, 50897, 51026, 52014, 50302, 62116, 53836, 53533, 51197, 68539, 53173, 50997, 51221, 51026, 51162, 51528, 53067, 52981, 51197, 51413, 50920, 52639, 50997, 51191, 51026, 51413, 50920, 52844, 50861, 50879, 50920, 53442, 50906, 59218, 52079, 53806, 50876, 55185, 52502, 53409, 51533, 73988, 51158, 50852, 53099, 53685, 51001, 59342, 54720, 52121, 55825, 52121, 55556, 56736, 50931, 51158, 50997, 60241, 64763, 51351, 51881, 52096, 52615, 50888, 50841, 52016, 52096, 56952, 52905, 50931, 51036, 50920, 50828, 51974, 52079, 53219, 50997, 60241, 51391, 74876, 50843, 55657, 53533, 50798, 50846, 55435, 61849, 59782, 51003, 51728, 50888, 53576, 50920, 52905, 50920, 52667, 50920, 53442, 50906, 64823, 62646, 64815, 51191, 50920, 52141, 54586, 50876, 62736, 52396, 51181, 71884, 65129, 52349, 50906, 51095, 54293, 51036, 50997, 65227, 51191, 50861, 51204, 53817, 52121, 52402, 52096, 50920, 53756, 50818, 55464, 52121, 52606, 52096, 56952, 52992, 50951, 54857, 52844, 50951, 58249, 52079, 53116, 50997, 51241, 50861, 51351, 50956, 51115, 50920, 53473, 55254, 51147, 59554, 50884, 54293, 51036, 50951, 76455, 51241, 50861, 51204, 50956, 51351, 51728, 50888, 52981, 50931, 58295, 52639, 50931, 56969, 52844, 50951, 51158, 50920, 53442, 50931, 51215, 50997, 58657, 72225, 51391, 50843, 55657, 53806, 50913, 53409, 50931, 55065, 53685, 50931, 51358, 50461, 54720, 52122, 55825, 52122, 55556, 52392, 50997, 51253, 50871, 64763, 50943, 51881, 52096, 52615, 50888, 50841, 52016, 52096, 56952, 52905, 50906, 50889, 50920, 50828, 51974, 53127, 53219, 50997, 58134, 51391, 50876, 51091, 50899, 51391, 50843, 55657, 53533, 50902, 52221, 50818, 55556, 51036, 51001, 65757, 64763, 51283, 74228, 52723, 50888, 53576, 50920, 52905, 79727, 50920, 52667, 50876, 50983, 50920, 53442, 50871, 51255, 50997, 51346, 50899, 51267, 50920, 52141, 54586, 50913, 52396, 50902, 69046, 52349, 50861, 56300, 50461, 53817, 52121, 55464, 52121, 54293, 53520, 51197, 72893, 51241, 51026, 51191, 52402, 55408, 50920, 53756, 50883, 52606, 55408, 56952, 52992, 50920, 52844, 50920, 53852, 52565, 51197, 71556, 74492, 51100, 50920, 57014, 50843, 71540, 51197, 55082, 50798, 58464, 50997, 66225, 51026, 51162, 51528, 55657, 52981, 51197, 51100, 50920, 52639, 51026, 64823, 60684, 59185, 51224, 52975, 51197, 51141, 50920, 53442, 50997, 51162, 51026, 77656, 55657, 53806, 51289, 53353, 53409, 51533, 73642, 53104, 50572, 54016, 53685, 51001, 57614, 52133, 51717, 54720, 51717, 52233, 51717, 55825, 51717, 52894, 51933, 77115, 50931, 51238, 51050, 51381, 51247, 50983, 51656, 51717, 51743, 51717, 51728, 50888, 54726, 50895, 51701, 51717, 51821, 51717, 76751, 55385, 50920, 52905, 50843, 53127, 52844, 50876, 50818, 50931, 64890, 52411, 53963, 53219, 50877, 55695, 62931, 52297, 50285, 51608, 50297, 51351, 50843, 53963, 53404, 53595, 51132, 70440, 53871, 52349, 74790, 52894, 51161, 50877, 63835, 50808, 75032, 51247, 51141, 51050, 51218, 57770, 53067, 53576, 50877, 59879, 57253, 51060, 50920, 52905, 50843, 52793, 52667, 79494, 50931, 60594, 51091, 50920, 53442, 51247, 51048, 51050, 53030, 53843, 53836, 52210, 50913, 52396, 51132, 73642, 70264, 52502, 52349, 51001, 66879, 51863, 53753, 52856, 51941, 52072, 53753, 55556, 56793, 59879, 51173, 65338, 51234, 51191, 50997, 51204, 51881, 51151, 57770, 53067, 50828, 80188, 56952, 52992, 51727, 51661, 50906, 61420, 59815, 58295, 55882, 50843, 60426, 50931, 51173, 63975, 51116, 50906, 51141, 50920, 53852, 56359, 50997, 69241, 51234, 51233, 50920, 53404, 52586, 53885, 50951, 54755, 51181, 51290, 50861, 51336, 50906, 50918, 61260, 57150, 51839, 50807, 50460, 53817, 51151, 55464, 51151, 50461, 50956, 51159, 51197, 50807, 52402, 51151, 52402, 51151, 51615, 51353, 52606, 51151, 52606, 51151, 51678, 51353, 54293, 51161, 51856, 51492, 62997, 55657, 52981, 50920, 52639, 50843, 52793, 52844, 50920, 58855, 50956, 51221, 50438, 51197, 50943, 59239, 53963, 53806, 50913, 60374, 50902, 65458, 51533, 51016, 50843, 52755, 53685, 51001, 50952, 50460, 54720, 52121, 51881, 51717, 55825, 52121, 52016, 51717, 50461, 51234, 72893, 51351, 50931, 51362, 51863, 52121, 51743, 51717, 52072, 52121, 51821, 51717, 55556, 51358, 50906, 51091, 50902, 51204, 57770, 55657, 53223, 50920, 52905, 50843, 53127, 50828, 51974, 53963, 50828, 55511, 56793, 60762, 66156, 50859, 51234, 51141, 50997, 51189, 50816, 53843, 53067, 53239, 50906, 61420, 66156, 65835, 50843, 52396, 51727, 58801, 62176, 59304, 53238, 53685, 50931, 73988, 51091, 50906, 51189, 50461, 50798, 50883, 55556, 50918, 51234, 51351, 50997, 51241, 50843, 53067, 53576, 50920, 52905, 51001, 70440, 53127, 52667, 50920, 50846, 55511, 51048, 51234, 51177, 50997, 51267, 50902, 51073, 59239, 53963, 52210, 50913, 52396, 51727, 51159, 51001, 56593, 52245, 56904, 54720, 51717, 52133, 51717, 51497, 51492, 55825, 51717, 52233, 51717, 52894, 51933, 50877, 50967, 50902, 51238, 51050, 51241, 50871, 51191, 51656, 52644, 62997, 55657, 50828, 51701, 52644, 56952, 52992, 50877, 60407, 52847, 53963, 52844, 50876, 51036, 50877, 72163, 52079, 53116, 51050, 59466, 51003, 59239, 53963, 61587, 50843, 52816, 53409, 51132, 51095, 50461, 62997, 50961, 52894, 51161, 51050, 57934, 51095, 50920, 52981, 50900, 51060, 50920, 57074, 50843, 52905, 50871, 50918, 50920, 52844, 50900, 51346, 50920, 53442, 51050, 51091, 50816, 53671, 53836, 62860, 51615 ]

[ 0, 250, 765, 6, 15352, 30054, 5175, 14123, 3495, 2214, 4246, 21072, 6, 21979, 9590, 6, 13305, 6, 8, 3741, 27374, 594, 6, 278, 11, 10, 182, 1769, 20889, 8, 204, 73, 306, 86, 6543, 11, 5, 762, 9, 230, 3694, 6, 7630, 14805, 10, 3344, 9, 1372, 8, 19448, 6711, 29, 19, 10, 11602, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 50852, 56795, 58320, 51140, 58595, 51140, 51066, 50852, 69018, 61718, 57322, 50801, 51858, 64959, 51461, 71206, 51140, 50893, 51755, 52625, 80048, 51140, 50983, 51544, 56282, 51340, 51106, 52116, 50791, 67098, 51522, 56250, 51848, 50942, 51755, 53547, 51973, 50852, 50860, 55481, 52444, 51150, 58834, 50952, 50439, 50816, 57795, 51522, 77778, 50852, 55166, 56771, 51098, 51362, 51755, 52625, 50860, 51544, 51033, 50433, 51522, 50993, 51570, 55508, 52116, 51140, 64512, 56575, 50903, 53902, 50801, 50844, 56098, 50991, 51848, 51858, 50911, 50425, 51493, 50974, 51694, 53270, 78116, 51848, 53574, 50852, 57149, 61718, 57322, 51848, 55043, 52625, 57459, 50903, 54871, 51461, 50930, 64908, 51858, 78346, 51461, 51006, 51544, 50917, 50427, 51461, 74123, 51340, 51104, 52409, 52116, 51150, 52448, 51805, 51605, 50458, 50903, 50811, 54204, 50940, 51848, 51858, 57506, 66659, 51660, 51336, 52760, 51336, 51694, 53270, 55276, 50852, 51052, 51294, 50439, 50816, 57795, 51461, 50911, 52320, 51407, 50852, 66635, 51033, 50451, 51515, 51072, 52230, 51072, 50458, 50903, 56628, 51434, 51562, 52118, 51562, 55929, 76152, 51858, 50860, 51544, 51541, 50431, 51522, 51029, 50433, 52361, 51496, 54267, 51496, 51570, 51362, 50852, 52409, 57891, 51493, 51798, 51607, 51016, 52360, 55637, 51795, 50791, 51184, 50458, 51848, 58713, 50811, 57752, 55400, 51740, 62695, 58320, 51140, 58595, 51140, 51066, 50856, 51091, 50856, 51358, 50852, 56810, 50852, 51858, 64021, 52311, 50856, 52369, 50439, 50816, 52791, 76347, 52536, 62132, 51795, 50856, 51184, 52962, 51795, 50791, 51184, 50852, 51091, 50458, 50903, 56658, 51184, 50459, 51461, 71206, 51140, 50893, 51755, 52625, 52827, 50856, 51353, 50856, 53651, 50425, 51140, 50983, 55592, 55362, 50856, 56082, 51340, 50410, 50438, 51340, 50410, 50852, 51407, 50852, 51795, 50856, 57508, 50856, 59939, 50816, 51184, 50816, 51732, 62132, 59939, 50856, 54430, 50791, 52737, 50791, 54217, 50791, 51492, 50451, 51522, 56250, 51848, 50942, 50903, 51184, 50903, 51732, 51755, 52229, 51492, 50856, 51492, 50852, 51407, 55592, 51492, 50856, 51492, 50852, 51407, 55481, 52444, 51150, 51066, 50852, 51407, 50852, 51184, 50856, 53501, 50856, 53501, 52574, 50413, 50439, 50816, 51732, 50816, 51732, 50449, 51522, 51379, 62132, 51732, 50856, 51732, 50791, 51732, 50791, 51732, 50852, 52442, 50801, 56575, 50903, 51732, 50903, 51732, 50461, 51098, 51362, 51755, 52625, 52442, 50856, 52122, 50856, 52122, 55592, 53601, 50856, 53601, 50791, 53601, 50433, 51522, 50993, 51570, 53073, 50852, 51184, 50852, 52442, 50856, 54430, 50856, 54430, 50816, 51732, 50816, 51732, 50450, 51140, 51500, 50856, 54430, 50856, 54430, 50791, 51732, 50791, 51732, 50791, 51732, 50458, 50903, 51732, 50903, 51732, 62190, 50844, 56098, 50991, 51848, 51858, 52017, 50856, 51492, 50856, 51492, 50425, 51493, 50974, 55592, 51492, 50856, 51492, 50852, 55362, 50434, 51848, 53574, 50852, 52737, 50852, 54217, 50856, 53501, 50856, 53501, 50439, 50816, 51732, 50816, 51732, 50791, 53073, 62132, 51732, 50856, 51732, 51848, 51594, 51732, 50791, 51732, 50852, 51492, 50458, 50903, 51732, 50903, 51732, 50459, 51461, 50930, 64908, 51858, 54430, 50856, 52122, 50856, 52122, 50415, 51461, 51006, 55592, 53601, 50856, 53601, 51340, 50413, 50427, 51461, 74123, 51340, 50413, 50852, 51732, 50852, 51732, 50856, 54430, 50856, 54430, 50816, 51732, 50816, 51732, 50450, 51150, 55415, 54430, 50856, 54430, 50791, 51732, 50791, 51732, 50791, 51492, 50456, 51224, 57450, 51456, 79488, 51732, 50903, 51732, 54204, 50940, 51326, 73986, 51858, 51732, 50426, 51660, 52195, 52760, 52195, 50852, 51732, 51570, 53002, 50445, 51515, 51496, 52230, 51496, 50449, 51461, 56160, 50852, 51732, 51848, 51033, 76056, 51761, 51461, 50824, 52118, 51761, 51848, 51858, 51732, 51544, 53601, 50431, 51522, 61511, 52361, 51274, 54267, 51274, 51570, 53073, 50449, 51607, 51073, 51493, 50795, 52360, 51073, 52320, 51732, 50458, 51848, 61145, 51206, 50803, 57752, 53601, 50856, 73086, 58320, 51929, 52570, 51140, 50976, 53232, 52570, 50426, 51140, 51066, 50856, 51492, 50852, 53601, 50438, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50791, 53073, 62132, 51732, 52962, 51732, 50852, 51492, 50458, 50903, 51732, 50459, 51461, 71206, 51140, 50893, 51755, 52625, 54430, 50856, 52122, 50425, 51140, 50983, 55592, 53601, 51340, 50413, 50438, 51340, 50413, 50852, 51732, 50856, 54430, 50816, 51732, 62132, 54430, 50791, 51732, 50791, 51492, 50451, 51522, 56250, 51848, 50942, 50903, 51732, 51755, 52229, 51492, 50852, 51732, 55592, 51492, 50852, 51732, 50433, 51515, 52195, 52230, 52195, 55481, 52444, 51150, 51066, 50852, 51732, 50856, 53501, 52574, 50413, 50439, 50816, 51732, 50449, 51522, 51379, 62132, 51732, 50791, 51732, 50852, 79220, 62103, 51434, 51566, 52118, 51566, 50458, 50903, 51732, 50461, 51098, 51362, 50799, 51929, 51029, 53232, 59110, 52625, 51732, 50856, 52122, 55592, 53601, 50791, 53601, 50432, 51434, 51295, 52118, 51295, 50433, 51522, 50993, 51570, 53073, 50852, 51732, 50856, 54430, 50816, 51732, 50450, 51607, 51158, 51140, 51500, 52360, 51158, 50856, 54430, 50791, 51732, 50791, 51732, 50457, 51660, 53295, 52760, 53295, 50458, 50903, 51732, 62190, 50844, 56098, 50991, 51848, 51858, 53601, 50856, 51492, 50425, 51493, 50974, 55592, 51492, 50852, 53601, 50434, 51848, 53574, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50791, 53073, 62132, 51732, 51848, 51594, 51732, 50852, 51492, 50458, 50903, 51732, 50459, 51461, 50930, 64908, 51858, 54430, 50856, 52122, 50415, 51461, 51006, 55592, 53601, 51340, 50413, 50427, 51461, 74123, 51340, 50413, 50852, 51732, 50856, 54430, 50816, 51732, 50450, 51150, 55415, 54430, 50791, 51732, 50791, 51492, 50458, 50903, 51732, 54204, 50940, 51848, 52229, 51492, 50852, 51732, 50426, 51660, 52195, 52760, 52195, 50856, 51492, 50852, 51732, 50438, 50852, 51732, 50856, 53501, 52574, 50413, 50439, 50816, 51732, 50445, 51515, 51496, 52230, 51496, 50449, 51461, 56160, 50856, 51732, 50791, 51732, 50852, 51732, 51848, 72870, 50903, 51732, 76056, 51761, 51461, 50824, 52118, 51761, 51848, 51858, 51732, 50856, 52122, 55592, 53601, 50791, 53601, 50431, 51522, 61511, 52361, 51274, 54267, 51274, 51570, 53073, 50852, 51732, 50856, 54430, 50816, 51732, 50449, 51607, 51073, 51493, 50795, 52360, 51073, 62132, 54430, 50791, 51732, 50791, 51732, 50458, 51848, 58713, 51732, 50460, 51769, 50810, 57752, 53601, 50856, 73086, 58320, 51929, 52570, 51140, 50976, 53232, 52570, 50426, 51140, 51066, 50856, 51492, 50852, 53601, 50438, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50791, 53073, 62132, 51732, 52962, 51732, 50852, 51492, 50458, 50903, 51732, 50459, 51461, 71206, 51140, 50893, 51755, 52625, 54430, 50856, 52122, 50425, 51140, 50983, 55592, 53601, 51340, 50413, 50438, 51340, 50413, 50852, 51732, 50856, 54430, 50816, 51732, 62132, 54430, 50791, 51732, 50791, 51492, 50451, 51522, 56250, 51848, 50942, 50903, 51732, 51755, 52229, 51492, 50852, 51732, 55592, 51492, 50852, 51732, 50433, 51515, 52195, 52230, 52195, 55481, 52444, 51150, 51066, 50852, 51732, 50856, 53501, 50439, 50816, 51732, 50449, 51522, 77778, 50852, 79220, 62103, 51434, 51566, 52118, 51566, 50461, 51098, 51362, 50799, 51929, 51029, 53232, 59110, 52625, 51732, 50432, 51434, 51295, 52118 ]

[ 0, 250, 2635, 12, 20764, 19834, 2125, 14, 7630, 6568, 10, 1619, 5466, 6, 4246, 10, 13305, 6, 6755, 12547, 6, 21979, 9590, 6, 3459, 8669, 6, 8, 5730, 2342, 4467, 4, 20, 15229, 16, 11, 211, 538, 8, 204, 73, 306, 86, 6543, 6, 19, 10, 33215, 16739, 9, 163, 119, 6, 3676, 406, 6, 211, 73, 250, 6, 83, 406, 6, 8, 211, 4, 3139, 19448, 8, 8728, 23225, 146, 24, 10686, 13, 822, 50, 4149, 5422, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 54795, 51244, 51098, 51291, 50804, 55942, 51129, 50418, 50899, 52011, 70166, 64309, 57616, 52976, 50973, 64835, 50364, 51152, 59508, 50861, 74045, 59516, 50899, 59809, 54114, 51799, 51047, 51273, 51472, 50856, 63272, 61118, 50899, 65155, 51129, 50446, 50989, 59743, 53166, 79724, 50856, 68704, 57690, 50989, 62836, 67076, 50899, 62788, 51129, 54795, 51047, 51098, 51413, 68198, 53280, 50659, 50351, 54532, 50804, 55942, 51129, 50418, 51086, 51172, 70166, 63715, 54566, 52976, 79269, 50856, 50364, 51152, 59508, 50899, 59809, 59516, 51086, 62788, 54114, 50973, 51095, 51799, 51134, 51273, 51056, 68198, 54532, 64008, 54532, 50856, 63272, 61118, 50861, 60054, 51129, 64118, 59809, 53166, 50902, 50943, 51273, 56241, 68704, 57690, 50973, 51534, 51493, 54172, 67076, 62958, 51705, 56776, 51129, 54955, 51047, 51098, 51562, 54619, 51103, 51881, 51145, 53541, 51449, 52187, 52204, 68198, 51490, 50659, 50351, 51447, 50804, 55942, 51129, 50415, 51615, 51314, 50418, 50861, 56858, 78893, 50973, 59809, 52976, 50902, 61035, 50364, 51152, 59508, 50973, 51423, 50804, 59516, 50861, 62522, 60622, 52332, 51047, 51838, 65680, 51324, 51244, 52659, 51218, 53200, 51103, 50659, 50351, 51447, 50659, 50354, 51490, 50856, 63272, 61118, 50989, 56858, 51129, 50446, 50973, 59809, 53166, 50902, 64835, 68704, 57690, 50973, 77487, 67076, 50989, 62522, 51129, 57551, 51127, 51493, 51562, 54619, 51518, 53541, 51293, 52033, 51313, 75281, 68198, 52980, 76401, 54829, 50804, 55942, 51129, 50418, 50916, 59975, 51129, 64309, 60146, 52976, 50973, 80066, 50364, 51152, 59508, 50861, 58799, 59516, 50916, 59809, 54114, 51120, 51148, 51273, 51417, 50856, 63272, 61118, 50916, 56858, 51129, 67655, 59809, 53166, 50973, 50914, 50659, 50349, 51079, 50856, 68704, 57690, 50861, 51337, 54580, 55588, 54059, 50659, 50351, 50972, 50458, 79848, 55857, 56776, 51129, 53997, 51127, 51461, 51397, 52133, 51148, 52033, 51148, 51711, 51148, 73331, 50659, 50352, 51878, 50804, 55942, 51129, 50415, 53664, 51077, 50418, 50916, 56951, 51129, 64309, 60146, 52976, 50876, 61035, 50364, 51152, 59508, 50861, 51337, 50804, 59516, 50916, 60146, 54114, 51324, 51448, 52659, 51397, 55857, 51103, 51881, 51448, 53541, 51080, 52187, 51080, 50659, 50351, 52407, 50856, 63272, 61118, 50899, 58799, 51129, 67655, 57990, 53166, 50973, 56053, 68704, 57690, 50861, 74045, 67076, 50899, 59809, 73496, 53389, 51313, 52133, 51313, 55547, 51145, 52419, 51448, 54580, 51591, 52332, 51449, 51656, 51313, 50659, 50349, 53142, 50804, 55942, 51129, 50418, 50899, 56858, 78893, 50989, 59809, 52976, 50877, 51091, 50856, 50364, 51152, 59508, 50989, 51423, 50804, 59516, 50899, 60146, 54114, 51120, 51448, 51273, 51291, 50856, 63272, 61118, 50899, 56858, 51129, 50446, 50989, 59743, 53166, 50877, 57038, 68704, 57690, 50989, 59743, 67076, 63383, 57324, 55588, 51129, 53997, 51103, 51461, 51291, 59114, 51103, 53817, 51148, 52133, 51244, 52033, 51447, 76401, 51703, 50804, 55942, 51129, 50415, 51615, 51080, 50418, 51026, 51097, 51830, 53674, 70166, 63686, 50942, 51451, 51679, 50804, 52976, 50916, 50914, 51366, 51108, 50856, 50364, 51152, 59508, 50900, 74045, 59516, 51026, 62788, 54114, 51120, 51183, 51273, 51291, 63331, 51077, 53389, 51244, 51881, 51047, 51656, 51080, 52332, 51080, 50659, 50346, 52263, 50856, 63272, 61118, 51027, 51330, 51322, 51642, 70166, 50446, 60833, 51547, 51679, 50804, 53166, 50989, 51016, 51229, 51199, 50856, 68704, 57690, 50899, 56959, 67076, 51027, 59809, 51129, 57551, 51127, 51493, 51241, 54619, 51413, 51615, 51314, 53541, 51080, 52033, 51148, 52187, 51447, 68198, 51878, 50804, 55942, 51129, 50418, 50973, 51797, 51366, 59975, 78893, 69915, 51209, 59975, 52976, 50951, 50914, 51590, 52378, 50856, 50364, 51152, 59508, 50968, 51043, 51098, 54172, 59516, 79623, 51668, 52764, 54114, 51085, 50807, 51150, 51056, 54580, 51110, 53389, 51110, 52133, 51423, 52033, 51178, 50659, 50349, 52059, 50856, 63272, 61118, 50876, 51233, 51209, 51679, 70166, 79472, 50925, 51334, 50932, 55857, 51095, 53389, 51110, 52133, 51233, 52033, 51423, 51615, 51178, 50659, 50351, 52059, 50804, 53166, 51279, 78599, 50914, 51216, 51025, 51924, 51309, 50856, 68704, 57690, 50968, 51178, 53664, 50967, 53389, 51110, 52133, 51043, 52033, 51043, 51656, 51194, 50659, 50352, 51797, 50804, 67076, 50876, 57990, 51129, 58359, 51448, 51273, 51417, 55857, 51077, 55430, 51047, 53541, 51047, 51881, 51127, 51615, 51145, 50659, 50351, 52598, 50804, 55942, 51129, 50418, 50899, 51108, 51209, 53280, 70166, 50422, 58882, 51590, 51961, 50804, 52976, 50973, 50889, 51390, 51775, 50856, 50364, 51152, 59508, 50861, 74045, 59516, 50899, 60146, 54114, 51799, 51047, 51273, 51417, 54580, 51413, 55430, 51047, 52133, 51047, 52332, 51080, 51656, 51244, 50659, 50349, 56458, 50856, 63272, 61118, 50900, 50981, 51547, 52519, 70166, 50446, 77663, 51229, 51679, 50804, 53166, 79724, 51390, 51576, 50856, 68704, 57690, 50989, 62314, 67076, 50899, 62788, 51129, 54795, 51313, 51098, 51413, 54619, 51790, 53817, 51662, 53541, 52140, 51881, 51662, 51615, 51662, 68198, 54829, 50804, 55942, 51129, 50418, 51086, 51330, 51209, 51314, 70166, 63715, 50959, 51590, 51680, 50804, 52976, 50861, 51194, 52004, 51145, 50856, 50364, 51152, 59508, 50899, 59809, 59516, 51086, 59743, 54114, 50973, 50889, 51389, 51159, 50856, 63272, 61118, 50861, 51337, 70166, 64118, 51337, 50804, 53166, 50902, 51013, 51273, 51400, 50856, 68704, 57690, 50973, 56959, 67076, 50861, 62788, 51129, 54955, 51047, 51098, 51562, 51209, 51490, 54619, 51103, 53541, 51314, 51881, 51145, 52187, 51314, 50804, 55942, 51129, 50415, 51615, 51314, 50418, 50899, 56858, 51129, 64309, 59809, 52976, 50973, 61035, 50364, 51152, 59508, 79270, 50804, 59516, 50899, 62522, 60622, 53541, 51047, 52332, 51047, 52187, 51314, 51838, 65680, 51324, 51244, 52659, 51218, 51547, 51447, 53200, 51103, 50856, 63272, 61118, 50989, 56858, 51129, 50446, 50973, 59809, 53166, 50902, 64835, 68704, 57690, 50973, 77487, 67076, 50989, 62522, 51129, 57551, 51127, 51493, 51562, 51366, 52431, 54619, 51518, 53541, 51293, 52033, 51313, 75281, 52187, 51449, 50804, 55942, 51129, 50418, 50916, 59975, 51129, 64309, 60146, 52976, 50973, 80066, 50364, 51152, 59508, 50861, 58799, 59516, 50916, 59809, 54114, 51315, 51253, 51493, 51377, 50856, 63272, 61118, 50916, 56858, 51129, 67655, 59809, 53166, 51120, 51253, 50973, 50914, 78703, 50856, 68704, 57690, 50861, 51337, 54580, 55588, 67076, 79848, 55857, 56776, 51129, 53997, 51127, 51461, 51397, 51451, 51490, 51334, 51490, 51615, 51148, 53817, 51148, 52133, 51080, 52033, 51148, 50804, 55942, 51129, 50415, 53664, 51077, 50418, 50916, 56951, 51129, 64309, 60146, 52976, 50876, 61035, 50364, 51152, 59508, 50861, 51337, 50804, 59516, 50916, 60146, 54114, 51324, 51448, 52659, 51397, 51322, 51314, 51390, 51490, 55857, 51103, 51881, 51448, 53817, 51080, 53541, 51080, 51615, 51080, 50856, 63272, 61118, 50899, 58799, 51129, 67655, 57990, 53166, 50973, 56053, 68704, 57690, 50861, 74045, 67076, 50899, 59809, 73496, 53389, 51313, 52133, 51313, 55547, 51145, 52419, 51448, 51322, 51243, 51390, 51748, 54580, 51591, 51881, 51313, 52332, 51449, 50804, 55942, 51129, 50418, 50899, 56858, 78893, 50989, 59809, 52976, 50877, 51091, 50856, 50364, 51152, 59508, 50989, 51423, 50804 ]

[ 0, 250, 765, 15855, 8, 5175, 15229, 14, 7630, 6568, 10, 25306, 5466, 6, 29354, 19448, 8, 2933, 4785, 4, 20, 6755, 12547, 6, 17465, 102, 6, 13305, 6, 1893, 43639, 6, 8, 3459, 9590, 45552, 833, 11, 10, 5679, 26709, 5797, 990, 1506, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 23758, 3938, 20889, 8, 10, 132, 73, 306, 86, 6543, 4, 20, 2125, 24708, 1626, 149, 10, 33215, 16739, 9, 2060, 401, 6, 230, 10431, 6, 2060, 406, 73, 347, 6, 163, 43531, 406, 6, 8, 2060, 406, 6, 2351, 41, 9066, 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 ]

[ 69781, 50989, 59991, 50906, 54351, 50989, 55266, 50906, 53450, 50965, 57250, 50906, 52658, 50965, 54112, 60834, 51057, 50965, 59991, 50973, 54351, 50906, 54252, 50973, 53450, 51040, 56552, 50871, 53513, 50965, 55270, 66457, 51057, 50989, 59991, 50906, 54351, 61256, 51028, 59573, 50906, 52654, 50965, 50844, 51114, 60412, 50906, 53193, 56756, 51081, 58926, 66768, 51057, 50965, 50854, 51220, 66147, 50973, 53728, 61801, 51147, 59573, 50973, 53450, 51040, 57250, 50871, 53911, 50965, 50844, 51220, 58926, 58529, 51057, 59289, 51081, 66147, 50906, 54448, 78675, 51114, 59573, 50906, 53450, 50956, 55730, 50989, 52658, 78675, 51001, 58926, 60834, 51057, 70806, 51028, 50914, 50417, 50906, 54448, 50989, 53591, 50956, 52580, 51040, 61271, 51399, 54125, 51220, 50812, 51057, 76533, 51378, 50995, 51488, 51803, 50420, 51399, 52710, 67423, 51197, 57547, 76533, 51057, 70597, 51176, 50981, 51357, 67568, 51220, 52710, 66188, 51360, 60307, 70597, 51057, 67423, 51197, 51003, 51165, 78377, 51081, 52710, 64341, 51176, 57648, 67423, 51375, 50974, 51057, 70597, 51360, 50981, 51357, 67568, 50989, 53172, 50871, 54342, 51040, 50995, 51057, 53148, 51148, 51491, 50995, 51213, 60413, 51488, 50923, 59659, 50844, 60530, 53450, 51794, 50995, 51600, 50923, 51105, 57421, 51394, 50923, 59659, 50844, 60530, 50844, 51057, 52065, 51148, 51357, 50995, 51558, 50923, 51325, 60413, 51629, 51054, 58003, 50844, 57249, 53450, 51491, 57648, 51558, 50923, 58003, 50844, 57249, 50844, 51057, 51638, 51148, 78256, 51394, 50923, 50945, 60413, 51600, 51054, 60530, 50874, 57355, 53881, 51491, 50995, 51325, 57421, 51395, 50923, 60530, 50822, 57355, 59259, 50949, 51057, 52316, 51148, 51375, 50995, 51488, 51527, 51925, 56051, 60530, 50961, 56841, 66774, 58003, 50961, 55860, 58980, 59659, 50961, 54899, 80148, 58003, 50961, 55860, 55800, 51154, 50995, 56841, 53917, 56841, 56486, 55860, 50880, 51057, 54899, 50921, 52646, 60413, 56841, 55889, 57355, 50921, 52053, 57421, 54899, 50921, 51057, 57454, 51033, 53926, 60413, 55860, 55889, 54978, 51033, 52022, 57421, 57454, 50952, 51057, 57355, 50940, 52053, 50943, 51925, 53223, 54899, 61177, 60530, 50952, 53926, 50943, 51925, 53230, 57454, 50952, 51057, 51600, 50859, 52405, 50859, 57355, 50921, 52646, 51003, 51925, 55265, 76263, 51690, 54681, 51395, 50859, 51811, 55747, 51488, 50800, 51905, 53950, 76631, 51558, 58129, 51165, 50808, 51394, 53974, 51375, 50808, 51629, 56535, 70502, 78589, 51057, 51113, 51077, 51107, 51264, 51600, 64739, 56435, 52483, 54885, 52605, 58502, 50795, 51057, 51266, 50915, 54552, 52115, 57538, 73439, 51182, 50915, 51057, 51201, 51047, 51284, 62976, 53942, 53466, 53994, 54259, 55679, 50805, 51057, 51395, 51047, 51182, 51047, 55005, 55099, 54552, 51189, 51057, 51093, 51134, 51395, 51134, 51629, 51134, 55184, 54275, 61438, 52871, 55184, 54080, 61438, 52710, 55184, 52749, 65203, 51395, 50810, 51629, 50810, 56380, 50805, 51057, 51488, 51397, 51266, 51397, 51629, 51397, 60177, 52864, 51236, 53578, 57454, 80148, 54899, 55229, 53862, 68388, 56841, 50806, 51057, 51357, 51134, 51266, 51134, 51629, 51134, 56380, 57368, 54552, 52871, 56380, 53184, 54552, 52450, 56380, 52749, 51357, 50810, 78155, 51629, 50810, 57538, 50849, 51057, 51266, 50915, 51284, 50915, 51019, 51003, 55679, 60724, 55679, 51620, 51201, 50981, 51394, 50981, 51186, 51003, 55005, 50805, 51057, 51488, 51145, 51600, 51145, 51394, 51145, 51213, 60413, 51905, 50795, 59659, 50859, 60530, 53950, 52405, 50806, 51105, 57421, 53089, 50806, 59659, 50800, 60530, 50800, 51057, 51395, 51145, 51600, 51145, 51558, 51145, 54294, 50923, 51325, 60413, 52838, 51054, 58003, 50800, 57249, 51620, 51228, 56217, 54294, 50795, 58003, 50808, 57249, 50808, 51057, 51488, 52071, 51600, 51145, 51394, 51145, 53089, 58536, 57519, 52405, 50914, 60530, 50812, 57355, 52710, 51325, 57421, 51811, 50879, 60530, 50808, 57355, 52476, 50612, 50817, 51057, 51201, 51310, 51629, 51310, 51905, 51013, 52022, 50943, 51925, 52302, 56380, 50810, 60177, 50810, 55936, 54347, 60177, 50810, 57216, 52654, 51415, 50943, 56380, 50810, 60177, 50810, 55936, 52658, 51905, 56535, 51558, 50821, 51057, 51165, 51183, 51488, 51183, 51394, 50879, 51213, 60413, 51905, 55035, 72888, 51105, 57421, 51394, 50806, 51057, 51375, 51127, 51357, 51127, 51629, 50795, 51325, 57519, 51558, 54851, 51201, 50805, 51228, 56217, 51629, 50879, 51057, 51491, 51003, 51165, 51003, 51600, 50879, 51105, 57519, 51394, 54851, 51154, 51003, 51375, 51003, 51488, 50901, 51325, 56217, 51629, 50795, 51057, 51165, 51183, 51488, 51183, 51600, 51183, 51213, 57437, 51228, 52247, 69364, 51057, 53919, 50952, 57249, 70335, 53117, 61378, 52128, 50955, 60530, 64784, 53117, 55656, 53919, 50952, 58003, 66094, 53117, 56626, 52128, 50878, 57249, 63363, 53117, 50933, 51057, 52956, 50830, 54978, 78006, 53684, 61378, 52052, 50959, 57249, 65393, 53684, 57630, 52956, 50910, 60530, 66094, 53684, 56626, 52052, 50959, 54978, 63363, 53684, 50933, 51057, 56193, 50910, 57355, 70335, 53919, 61378, 53117, 50959, 57249, 64784, 53919, 55656, 56193, 50910, 58003, 55214, 64534, 70708, 51690, 50800, 54978, 55632, 79432, 52838, 50800, 57454, 50858, 51057, 51357, 50901, 51395, 50901, 51600, 50901, 51558, 50901, 51811, 50901, 52405, 50901, 57355, 50893, 50706, 50310, 50802, 50706, 50322, 52410, 51357, 50849, 51395, 50849, 51600, 50849, 51558, 50849, 51811, 50849, 52405, 50849, 50706, 50310, 50802, 50706, 50322, 52030, 51375, 50952, 51488, 50952, 51600, 50952, 51629, 50952, 51905, 50952, 52405, 50952, 69220, 50802, 50706, 50322, 50802, 50269, 50786, 50414, 51165, 51077, 51488, 51077, 51600, 51077, 51394, 51077, 51905, 51077, 52405, 51077, 50706, 50310, 51009, 50706, 50322, 51009, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 3495, 2712, 6, 4246, 10, 13305, 483, 7513, 30, 41, 3459, 9590, 6, 81, 9756, 8669, 6, 16867, 6, 8, 21072, 6, 2351, 10, 11739, 9, 1372, 8, 20425, 23338, 293, 19, 10, 11602, 9, 15073, 6, 278, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 70781, 51134, 51153, 51134, 51489, 51134, 52657, 51134, 50423, 51489, 53548, 51578, 58466, 52461, 56983, 51837, 50889, 51119, 51134, 51429, 51134, 51489, 51134, 52018, 51134, 50456, 52778, 50910, 50799, 52778, 51204, 51119, 51452, 51153, 51452, 51489, 51452, 51720, 51452, 50429, 52709, 53810, 52353, 55782, 51837, 53813, 52353, 51623, 50799, 51512, 51452, 51429, 51452, 51489, 51452, 51817, 51714, 50429, 51489, 53810, 52461, 55782, 51837, 53813, 52353, 60204, 52709, 69352, 52353, 52843, 52778, 51141, 70781, 51452, 51153, 51452, 51489, 51452, 51720, 51714, 50423, 52353, 53548, 51837, 56338, 52461, 53810, 51578, 51446, 68819, 51134, 51232, 51134, 51119, 51134, 51011, 73967, 51578, 56382, 55165, 61086, 51429, 51043, 51275, 51043, 51516, 51043, 51415, 65029, 51308, 51043, 51777, 51043, 51516, 51043, 52022, 51043, 50453, 52778, 54166, 52709, 56249, 53519, 50938, 61310, 51134, 51144, 51134, 51119, 51134, 51271, 65177, 52709, 63244, 52778, 53576, 52709, 61086, 51280, 51134, 51232, 51134, 51119, 73779, 51133, 69204, 52778, 58045, 51837, 54166, 52353, 56249, 52778, 50840, 50799, 52353, 50846, 52040, 51134, 51198, 51134, 51099, 51134, 51415, 50915, 50416, 51837, 55927, 52353, 63244, 51837, 53576, 52353, 61086, 51708, 51134, 51280, 51134, 51144, 51134, 51011, 69204, 51837, 58045, 51578, 54166, 52461, 56249, 51837, 50840, 50799, 52461, 50840, 51869, 51134, 52040, 51134, 51232, 51134, 50953, 51134, 50417, 51578, 54507, 52461, 61086, 52477, 51134, 52040, 51134, 51232, 51134, 51325, 69204, 51198, 58045, 51232, 54166, 51512, 56249, 51429, 50840, 64680, 51134, 51232, 51134, 51099, 51134, 51153, 51134, 51069, 51134, 51011, 51047, 50856, 50940, 55592, 58967, 64436, 52810, 59247, 50813, 54127, 58970, 65362, 52781, 62920, 50915, 51869, 51134, 51232, 51134, 51099, 51134, 51429, 51134, 51153, 51134, 50953, 50820, 50953, 51047, 50856, 50858, 51955, 54046, 54663, 64351, 50878, 54820, 50890, 50799, 64351, 51134, 51876, 51452, 51232, 51452, 51119, 51452, 51489, 51452, 50945, 50820, 50945, 51452, 50856, 50940, 55592, 58967, 61934, 52810, 61454, 50813, 54127, 58970, 62920, 50813, 51720, 52781, 61454, 51134, 51720, 73497, 50858, 51955, 54046, 50890, 54820, 50890, 69935, 51452, 51198, 51452, 51512, 51452, 51429, 51452, 51019, 51452, 51817, 51452, 50856, 50940, 55592, 58967, 64436, 52810, 65362, 50813, 54127, 58970, 62920, 52781, 61454, 57075, 54651, 61934, 56060, 64351, 51115, 50903, 54046, 50890, 54820, 50890, 59649, 50915, 51232, 50915, 51144, 51452, 51119, 51452, 51489, 51452, 50945, 51714, 51720, 51714, 50856, 73427, 61454, 52524, 62920, 50813, 51876, 51452, 51232, 51452, 50856, 58967, 65362, 52810, 59247, 51397, 54127, 54957, 50856, 50858, 51955, 54046, 68750, 53366, 50810, 51869, 76577, 50820, 50953, 57450, 54733, 50810, 52477, 50810, 51325, 54049, 50890, 64680, 51134, 51847, 51134, 51119, 51134, 51516, 51134, 51011, 73497, 61955, 59247, 55440, 68226, 51397, 50856, 50890, 54127, 54957, 52040, 51043, 51198, 73529, 51435, 51043, 51415, 73315, 54596, 51847, 51043, 51232, 73529, 51516, 51043, 52022, 50878, 50903, 54046, 59994, 64351, 53211, 61934, 50813, 54820, 59022, 63689, 51101, 61310, 51134, 51144, 51134, 51119, 51134, 51435, 51134, 51271, 73497, 61955, 61934, 53910, 64351, 52524, 61934, 55892, 58967, 64351, 52810, 61934, 51134, 54127, 54957, 51280, 51134, 51232, 51134, 51144, 51134, 51119, 51134, 51435, 51134, 51133, 73497, 54596, 61934, 56651, 54046, 59994, 62920, 53211, 61454, 50813, 54820, 59022, 64351, 50813, 50799, 61454, 50813, 52040, 51134, 51198, 51134, 51119, 51134, 51275, 51134, 51516, 51134, 51415, 62211, 50940, 50417, 62920, 53299, 61454, 51134, 55592, 50890, 54127, 54957, 51708, 51134, 51144, 51134, 51119, 51134, 51153, 51134, 51516, 73497, 54651, 51011, 69204, 62920, 56651, 54046, 59994, 59247, 53211, 65362, 50813, 54820, 59022, 62920, 50813, 50799, 65362, 50813, 52477, 51134, 51232, 51134, 51512, 51134, 51429, 51134, 51489, 51134, 51325, 73497, 50940, 50417, 59247, 53299, 65362, 51134, 55592, 50890, 54127, 54957, 53483, 51134, 51198, 51134, 51119, 51134, 51275, 51134, 52070, 51134, 51213, 73497, 54596, 59247, 56651, 54046, 59994, 61837, 53211, 50729, 50324, 50813, 54820, 59022, 59247, 50813, 50799, 50729, 50324, 50878, 52533, 51134, 51232, 51134, 51429, 51134, 51019, 73497, 61955, 65362, 55440, 61454, 57075, 57748, 61934, 55467, 61934, 50810, 52176, 51134, 51232, 51134, 51429, 51134, 50927, 51134, 51206, 67760, 64351, 58638, 61454, 52843, 61454, 61481, 62920, 57450, 65362, 50810, 50799, 59247, 51151, 52537, 51151, 51232, 51151, 51099, 51151, 51153, 51151, 51069, 51151, 51206, 53650, 69302, 57530, 52537, 50878, 51489, 51047, 51516, 51047, 51011, 67880, 60397, 50858, 51402, 54718, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 51478, 50880, 51940, 50880, 51708, 54371, 60397, 57781, 51770, 50880, 52150, 50880, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 51940, 51192, 53253, 51192, 52537, 51559, 54362, 52537, 55576, 60397, 50858, 51572, 54651, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51618, 54596, 51478, 50880, 51940, 50880, 51708, 50845, 51489, 51043, 51578, 56959, 60397, 58639, 51770, 50806, 52150, 50806, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51453, 56860, 52537, 51559, 50858, 62871, 50878, 51153, 51047, 51639, 51047, 50945, 67880, 75269, 50858, 51402, 54718, 52106, 50880, 52150, 50880, 51876, 50878, 51561, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 52856, 50880, 51940, 50880, 51876, 54371, 75269, 57781, 52106, 50880, 52150, 50880, 51561, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 52150, 50936, 60219, 50936, 52785, 51559, 54362, 52785, 55576, 75269, 58746, 52150, 50880, 60219, 51864, 54651, 52150, 50880, 53253, 50880, 51876, 50878, 51561, 50878, 68177, 51153, 52854, 50858, 51618, 54596, 52106, 50880, 52150, 50880, 51876, 50845, 51275, 51043, 51435, 56959, 75269, 58639, 52856, 50806, 51940, 50806, 51561, 50845, 51099, 50845, 51153, 52839, 50858, 51453, 56860, 52785, 51559, 50858, 67094, 50878, 51232, 50878, 68177, 70445, 51489, 51047, 51516, 51047, 51069, 67880, 75269, 50858, 51402, 54718, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 51478, 50880, 51940, 50880, 51708, 54371, 75269, 57781, 51770, 50880, 52150, 50880, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 51940, 51192, 53253, 51192, 52537, 51559, 54362, 52537, 55576, 75269, 50858, 51572, 54651, 51770, 50880, 52150, 50880, 51708, 50878, 51232, 50878, 68177, 51153, 52854, 50858, 51618, 54596, 51478, 50880, 53253, 50880, 51708, 50845, 51578, 51043, 51837, 56959, 75269, 58639, 51770, 50806, 52150, 50806, 51232, 50845, 51099, 50845, 51153, 52839, 50858, 51453, 56860, 52537, 51559, 50858, 62871, 50878, 51153, 51047, 51639, 51047, 50945, 60881, 55637, 50858, 51402, 54718, 52106, 50880, 52150, 50880, 51876, 50878, 51561, 50878, 68177, 51153, 52854, 50858, 51510, 54149, 52856, 50880, 51940, 50880, 51876, 54371, 55637, 57781, 52106, 50880, 52150, 50880, 51561, 50845, 51099, 50845, 51153, 52839, 50858, 51361, 55632, 50680, 50340, 50936, 50680, 50343, 50936, 52785, 51559, 54362, 52785 ]

[ 0, 250, 8787, 3495, 8, 5175, 15229, 6, 42, 2125, 22750, 1626, 11098, 8, 10563, 4, 590, 10, 7212, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 24897, 11739, 9, 856, 17993, 6, 21979, 8669, 6, 10170, 1499, 6, 8, 18558, 6, 70, 447, 561, 7, 1045, 10, 15352, 30054, 8, 17627, 17274, 2365, 3618, 2369, 4, 20, 762, 9, 272, 538, 31473, 7, 63, 4520, 8, 7168, 2048, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50791, 50962, 51544, 80022, 50809, 52320, 52349, 50761, 50299, 50813, 55553, 53793, 50761, 50299, 50874, 55553, 62659, 50913, 50890, 54272, 50914, 50885, 51542, 50847, 52519, 50979, 51318, 51531, 51313, 55553, 52071, 53208, 51991, 50798, 55043, 55607, 56247, 59980, 50909, 54211, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 51133, 51127, 50885, 51852, 50986, 51714, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 63193, 57578, 50979, 51627, 51136, 52071, 50913, 51475, 62468, 53330, 67166, 50909, 51283, 50442, 51471, 50443, 50913, 54305, 50885, 51333, 72975, 50929, 52071, 51240, 50813, 53721, 50857, 59848, 50913, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 61014, 55553, 50987, 53208, 50938, 69753, 50867, 53341, 63298, 51762, 50461, 59888, 50904, 54291, 50813, 54272, 51091, 50885, 51542, 77543, 50979, 51115, 52330, 51445, 55553, 51145, 53208, 51077, 50913, 52589, 52668, 68147, 53340, 51010, 62951, 51318, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50913, 53705, 51133, 51077, 50885, 52059, 51311, 51742, 50798, 57083, 50913, 50836, 51556, 53317, 59380, 57101, 52034, 58989, 51412, 50913, 51724, 50847, 51542, 50935, 51542, 50979, 51283, 51136, 51714, 51240, 51582, 53696, 50840, 53491, 64101, 50913, 54305, 50885, 52188, 50929, 52151, 51240, 60812, 55233, 51337, 54269, 51110, 53721, 51559, 53938, 50913, 71074, 53657, 55850, 55110, 50930, 54599, 63226, 70731, 51337, 63718, 51110, 51762, 50455, 50913, 52920, 50885, 51965, 50832, 54966, 57326, 51240, 50941, 52261, 50461, 50979, 51318, 50913, 50890, 54272, 51362, 74086, 50939, 51310, 51988, 51313, 55553, 51115, 53208, 55157, 55043, 55607, 56247, 50809, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 51133, 51623, 50885, 51852, 51246, 51677, 55553, 50892, 53208, 62736, 50857, 65906, 50830, 53198, 59533, 67009, 63193, 50979, 58507, 51477, 51136, 51313, 55553, 51043, 53208, 75991, 51475, 62468, 53330, 67166, 50939, 51477, 50442, 51471, 50443, 50913, 54305, 50885, 51333, 50929, 51422, 51240, 62120, 50979, 52048, 50446, 59888, 53487, 54291, 53259, 53721, 50857, 59848, 50913, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 51471, 51453, 55215, 50867, 53341, 63298, 51762, 52354, 51362, 50885, 51381, 79843, 75971, 51873, 51148, 50913, 52589, 52668, 68147, 53340, 51010, 60043, 51419, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50913, 53705, 50945, 51077, 50885, 52034, 50986, 52062, 50798, 57083, 50913, 50836, 51556, 53317, 59380, 50872, 51749, 50913, 51724, 50850, 51477, 50909, 51477, 51136, 51894, 51240, 51582, 53696, 50840, 53491, 64101, 50913, 54305, 50885, 51466, 50947, 52222, 51240, 60812, 51531, 53401, 50913, 51559, 64598, 52183, 54411, 51691, 51286, 50913, 71074, 53657, 55850, 55110, 50930, 54599, 63226, 51762, 50455, 50913, 52920, 51871, 51173, 50832, 54966, 57326, 51240, 50941, 52261, 50461, 50885, 52256, 50913, 50890, 52354, 51016, 50909, 51318, 50992, 51318, 50872, 51448, 53242, 51196, 50761, 50300, 52440, 70731, 74260, 55043, 55607, 56247, 50809, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 50945, 51623, 50885, 51806, 50986, 52168, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 52112, 50437, 53105, 58866, 64303, 50909, 51627, 51136, 52151, 50761, 50303, 54848, 55818, 51797, 50913, 51475, 62468, 53330, 67166, 50992, 51051, 53242, 51603, 50442, 51471, 50443, 50913, 54305, 50872, 52188, 50992, 51709, 51169, 51939, 51240, 58171, 50885, 51333, 51871, 51160, 50761, 50304, 53726, 53587, 51642, 53721, 50857, 59848, 50913, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 51471, 50454, 72132, 54848, 53081, 51797, 50455, 51691, 51286, 51453, 55215, 50867, 53341, 63298, 51762, 54272, 51204, 50885, 51391, 50909, 51318, 50847, 51310, 50979, 51535, 52183, 52097, 50761, 50304, 52988, 53587, 51671, 50913, 52589, 52668, 68147, 53340, 51010, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50986, 51680, 50913, 53705, 51133, 51591, 50885, 52034, 50798, 57083, 50913, 50836, 51556, 53317, 59380, 50913, 51724, 50909, 51477, 50979, 51283, 50847, 51749, 51136, 51145, 52183, 51354, 51240, 51582, 53696, 50840, 53491, 64101, 50913, 54305, 50885, 51330, 50929, 51742, 51240, 60812, 51691, 51379, 53721, 51559, 53938, 50913, 71074, 53657, 55850, 55110, 50930, 54599, 63226, 52183, 51354, 51762, 50455, 51691, 52085, 52920, 50832, 54966, 57326, 51240, 50941, 52261, 50461, 50913, 50890, 52563, 51091, 50848, 51419, 50847, 51310, 50935, 51318, 50872, 51318, 50761, 50303, 57232, 55818, 53142, 50798, 55043, 55607, 56247, 59980, 51666, 52097, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 50913, 50867, 51510, 52992, 50913, 51049, 67854, 55352, 55507, 55658, 61814, 50953, 50918, 50848, 52188, 50960, 52151, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 51531, 51559, 58855, 52393, 53813, 68898, 50935, 51108, 67907, 50970, 52151, 51666, 66149, 51475, 62468, 53330, 62505, 51471, 50443, 50913, 54305, 50848, 52063, 51076, 51313, 52183, 50911, 51240, 50813, 53721, 50857, 59848, 51666, 77048, 63390, 53657, 55850, 50821, 61695, 50962, 54599, 51008, 61014, 51531, 50923, 50761, 50299, 51737, 55553, 51079, 69753, 50867, 53341, 63298, 51762, 57746, 51318, 50848, 51535, 51042, 52071, 52330, 51655, 55553, 52727, 53208, 51243, 50913, 52589, 52668, 68147, 53340, 51010, 50415, 50953, 51091, 50847, 52136, 51402, 63222, 50913, 70421, 54121, 50862, 55618, 53065, 60811, 50913, 50887, 51768, 55352, 52675, 58730, 58129, 51468, 50431, 50913, 53705, 50953, 51742, 50988, 52136, 50960, 79780, 57083, 50913, 50836, 51556, 53317, 59380, 50913, 51724, 50848, 51542, 50970, 51742, 51240, 51582, 53696, 63539, 50872, 52256, 53491, 64101, 50913, 54305, 50929, 52062, 51240, 50857, 53721, 51559, 53938, 50913, 71074, 53657, 55850, 55110, 71366, 50885, 51419, 50913, 50890, 50799, 51813, 51030, 51133, 51204, 50979, 51749, 50847, 51749, 50798, 55043, 62334, 59980, 50909, 51477, 51402, 63222, 50913, 50886, 51039, 66756, 60853, 51813, 77048, 50867, 51510, 52992, 50913, 51049, 67854, 60527, 55658, 51471, 50430, 51813, 57359, 51133, 51103, 50885, 52378, 50986, 52015, 50913, 50857, 65906, 50830, 53198, 59533, 67009, 63193, 51813, 50936, 50979, 51637, 50847, 51477, 51136, 52222, 50913, 56826, 53330, 67166, 50909, 51961, 50442, 51471, 50443, 50913, 54305, 51813, 79854, 52378, 50929, 52071, 51240, 50813, 53721, 50857, 59848, 51882, 66149, 63390, 56854, 50821, 61695, 50962, 54599, 51008, 61014, 52086, 51030, 69753, 50867, 53341, 63298, 51762, 50799, 52914, 51286, 51133, 51204, 50885, 51419, 50935, 51318, 50847, 51310, 50979, 77227, 52589, 62011, 53340, 51010, 51402, 63222, 50913, 70421, 54121, 55946, 52914, 51175, 50913, 53065, 60811, 50913, 50887, 51768, 52938, 58730, 58129, 51468, 50431, 50913, 53705, 52914, 50858, 51133, 51077, 50885, 52034, 51311, 67880, 57083, 50913 ]

[ 0, 250, 15352, 30054, 3495, 2214, 11509, 657, 8, 11098, 6, 4246, 10, 20535, 2810, 6, 13305, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 9, 17072, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 163, 6, 230, 6, 163, 119, 1176, 406, 6, 83, 6, 8, 272, 3639, 7, 63, 13363, 28191, 2369, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 80011, 66222, 50791, 50811, 55753, 52206, 51029, 51556, 60681, 52206, 64070, 51214, 51055, 51601, 51214, 72872, 54935, 52206, 51745, 50443, 50791, 57795, 52206, 52325, 51214, 51454, 56020, 51214, 51454, 51510, 58212, 52206, 51745, 52320, 60370, 52206, 51012, 51809, 51214, 51090, 50430, 51214, 52448, 58772, 52206, 51059, 55779, 50811, 51809, 52206, 54433, 51214, 51735, 50430, 51456, 58976, 51224, 60103, 57167, 52417, 51224, 57514, 51214, 51235, 50438, 51224, 55384, 51289, 52267, 51326, 55255, 56721, 52206, 51059, 50900, 51896, 51085, 51685, 50916, 51685, 50861, 51977, 50801, 52923, 50809, 52177, 51085, 61512, 53903, 61640, 64644, 52206, 71373, 52206, 50950, 50431, 51026, 51239, 52750, 59693, 50916, 53819, 50311, 51879, 50282, 51379, 55203, 54815, 52046, 51812, 59135, 50791, 56721, 50916, 51241, 51841, 51029, 50965, 51291, 50973, 51623, 51315, 73840, 50857, 51621, 53432, 50837, 60212, 51841, 51603, 50916, 52311, 50804, 58099, 50791, 58976, 50965, 64286, 57039, 54637, 54957, 51841, 53287, 53111, 59135, 51841, 70056, 78127, 50965, 73751, 67046, 52640, 50279, 52516, 52279, 53736, 51841, 52590, 50941, 52478, 51247, 52530, 50297, 51661, 50900, 51472, 50871, 51446, 50877, 66914, 53340, 58221, 51247, 62138, 50804, 53903, 50445, 51247, 50950, 51050, 50803, 56041, 52873, 66803, 51315, 50894, 51841, 58615, 50801, 59934, 51197, 52640, 50283, 58971, 51156, 50817, 52478, 51799, 51029, 51120, 51356, 50899, 51358, 50989, 51518, 50877, 53363, 51206, 53432, 50840, 57809, 59575, 51799, 51735, 50804, 53903, 50446, 51120, 51685, 51956, 50449, 53667, 63756, 51799, 69266, 52195, 50801, 52873, 53736, 50801, 59652, 51799, 51354, 50989, 51226, 52478, 53667, 51021, 50419, 50804, 53903, 50425, 51799, 68391, 52917, 61814, 52206, 50824, 51085, 51685, 50900, 51896, 50916, 51685, 50861, 51977, 50433, 50801, 52873, 56877, 51085, 51072, 52612, 53903, 51647, 59036, 52206, 51031, 50460, 51026, 50846, 52206, 57888, 53111, 50811, 53069, 50900, 68549, 53819, 50311, 51879, 50282, 51379, 50801, 50971, 61236, 52046, 51812, 51156, 58167, 50916, 51241, 51841, 51029, 50965, 51291, 50973, 51623, 51315, 51264, 52095, 52526, 62968, 67534, 51471, 53061, 58268, 51841, 51603, 50916, 52311, 50791, 59616, 50965, 51218, 50461, 51471, 51809, 54637, 72531, 50801, 54878, 51841, 52153, 52630, 51841, 70056, 50941, 52261, 50433, 50965, 73751, 67046, 52640, 50279, 50950, 53924, 51156, 62968, 51841, 51331, 54926, 51247, 52530, 50297, 51661, 50900, 51472, 50871, 51446, 50877, 66914, 52873, 59154, 51471, 50461, 51247, 55637, 50811, 55669, 59852, 52261, 50427, 51247, 50950, 51050, 52651, 61822, 50791, 56987, 51315, 50894, 51841, 55075, 50941, 52261, 50441, 51197, 52640, 50283, 58971, 51156, 64223, 51799, 51029, 51120, 51356, 50899, 51358, 50989, 51518, 50877, 53363, 52006, 52526, 57859, 52112, 52591, 51799, 51735, 50421, 50804, 51670, 55316, 58860, 51120, 51685, 50428, 51762, 50431, 53667, 51010, 50434, 51799, 69266, 52195, 50801, 50840, 51556, 54129, 51799, 51388, 50989, 70910, 50904, 52112, 50448, 53667, 51021, 57048, 51156, 57859, 51799, 62175, 51437, 50883, 61628, 52035, 50304, 51285, 50916, 51870, 50861, 51977, 51085, 52369, 52006, 52526, 62938, 51026, 51160, 52206, 51072, 56468, 75964, 52896, 51026, 53819, 50304, 71476, 52206, 52590, 53111, 59788, 50916, 50811, 51841, 55855, 60062, 50900, 72115, 64985, 51214, 51575, 51463, 50811, 57346, 51238, 50916, 51500, 50877, 51227, 51279, 51343, 51279, 51991, 51206, 53432, 61291, 50791, 53593, 69315, 50877, 51828, 50289, 51290, 50968, 51294, 56468, 59071, 51028, 77561, 50973, 51012, 51931, 50445, 51841, 57795, 51279, 50858, 50877, 53287, 52873, 52193, 51279, 68138, 50904, 51931, 51601, 51040, 51828, 50284, 60973, 56036, 70232, 53903, 50422, 51279, 78689, 52771, 65760, 50801, 57903, 52206, 50976, 50900, 51091, 50916, 51661, 50861, 50918, 51085, 51941, 51206, 63895, 51026, 50910, 52206, 51066, 62177, 51156, 58977, 50900, 57006, 51956, 50456, 52206, 53194, 50306, 51483, 50861, 66191, 53065, 50817, 51601, 50916, 51665, 50284, 52862, 59993, 50900, 51581, 50287, 53710, 51463, 54396, 51040, 51419, 50877, 51241, 50916, 51189, 51279, 51189, 51279, 51469, 52006, 52526, 62602, 51970, 50443, 61741, 51040, 51215, 50916, 51354, 50877, 51235, 51279, 51345, 56468, 59616, 51841, 50811, 51809, 51279, 53841, 53065, 57369, 50801, 50904, 52105, 50423, 51279, 51192, 54321, 58459, 78568, 62927, 51841, 51331, 58212, 51279, 58768, 50904, 52112, 50443, 52206, 54774, 54400, 50900, 51362, 50916, 52195, 50861, 51896, 51206, 52568, 51085, 51358, 50457, 51026, 51483, 51085, 51072, 54124, 51156, 50817, 51809, 50900, 51167, 51402, 53203, 52206, 54381, 51085, 53819, 50299, 60809, 50801, 53111, 57834, 50899, 59021, 53318, 50292, 61515, 50801, 54220, 71150, 50916, 52717, 50311, 50833, 52206, 61037, 76870, 52267, 50899, 51274, 50877, 51343, 50989, 51496, 51027, 51077, 51120, 51585, 51206, 53432, 63793, 51799, 51870, 50452, 51931, 50458, 51471, 51809, 50804, 54024, 50899, 51157, 50989, 57543, 52959, 58242, 51762, 50427, 53667, 50811, 51027, 59225, 50801, 59833, 50899, 50884, 50989, 72199, 50895, 51799, 51594, 57776, 51799, 51505, 50989, 51566, 50801, 54728, 50899, 51160, 50877, 51290, 52261, 50444, 51120, 50830, 77126, 53667, 51812, 59135, 50791, 58614, 50989, 59772, 67504, 50800, 51799, 65426, 52465, 58323, 52206, 53751, 50304, 51091, 50916, 51661, 50861, 50918, 51085, 51941, 52095, 52526, 50817, 60212, 51026, 52545, 50292, 63924, 53903, 50431, 64566, 51842, 50437, 50801, 53891, 52206, 53819, 50306, 51483, 50861, 55706, 59587, 52206, 50976, 50916, 74039, 50941, 52105, 50452, 50900, 51731, 50279, 51812, 51636, 50458, 52006, 52526, 53736, 53667, 51300, 71349, 59740, 51040, 77464, 51343, 50877, 50983, 51279, 51141, 50425, 51931, 50431, 51279, 60493, 50804, 51156, 52676, 51040, 51110, 50916, 51290, 50877, 61298, 51842, 50442, 53667, 51010, 50445, 51279, 50950, 51279, 51345, 53026, 62353, 51279, 51138, 51224, 60103, 53736, 51841, 51060, 51456, 61994, 51224, 50825, 50799, 51326, 61792, 53667, 64800, 55255, 60517, 52206, 51059, 50900, 51896, 51085, 51685, 50916, 51685, 50861, 51977, 52822, 52311, 52269, 52311, 52664, 51407, 51683, 51407, 62578, 61692, 58167, 51960, 50439, 51085, 61512, 53903, 50446, 51956, 50449, 52206, 57443, 51026, 50846, 52206, 55572, 55181, 59022, 51799, 51379, 50460, 50900, 68549, 53819, 50311, 50890, 52706, 51388, 52449, 51388, 50801, 50904, 52105, 52719, 50976, 51648, 50976, 52478, 52046, 66576, 53564, 51388, 53282, 78708, 51156, 50817, 52970, 50976, 52099, 50976, 50425, 50916, 51241, 51841, 51029, 50965, 51291, 50973, 51623, 51315, 51264, 53559, 52208, 51888, 74899, 53022, 52208, 52006, 52526, 50817, 52851, 51184, 50433, 52105, 50439, 51931, 50446, 51841, 51603, 50916, 52311, 50804, 55059, 50798, 53340, 54085, 50965, 51218, 50454, 67920, 54637, 69738, 51841, 53287, 60870, 50791, 50817, 53069, 51841, 51354, 58018, 52905, 50965, 73751, 67046, 52640, 50279, 56701, 58860, 50791, 52265, 51841, 59786, 50801, 58662, 52105, 50440, 51247, 52530, 50297, 51661, 50900, 51472, 50871, 51446, 50877, 51291, 52495, 52311, 52889, 52311, 52095, 52526, 50817, 52103, 51407, 51713, 51407, 51618, 59753, 51247, 59165, 53903, 50461, 50791, 50855, 53069, 51050, 66683, 75832, 50801, 53340 ]

[ 0, 250, 20902, 5175, 2214, 19, 10, 2842, 9, 25771, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 6, 3152, 6757, 6, 8, 26432, 636, 3938, 22052, 6, 2800, 30, 5, 41063, 15796, 4811, 9, 21072, 8, 31391, 1672, 9590, 4, 8504, 11, 5, 762, 9, 272, 3694, 19, 10, 748, 1879, 15525, 20889, 9, 24646, 741, 1685, 6, 42, 2125, 7630, 6568, 10, 32076, 8, 12298, 6711, 6, 442, 24, 10686, 13, 2365, 50, 3618, 930, 148, 5, 1619, 191, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 66268, 50882, 51672, 50859, 51231, 50823, 51672, 51033, 51457, 50952, 51457, 50823, 53927, 50938, 51981, 50805, 54310, 52864, 51231, 50855, 51231, 50855, 51672, 50864, 51672, 50864, 51672, 50987, 51457, 50987, 51231, 53172, 51672, 50808, 51672, 50808, 51231, 51033, 51231, 51033, 51457, 50952, 51457, 59099, 51231, 50840, 51231, 50840, 51672, 50855, 51672, 50855, 51672, 50955, 51231, 50866, 51457, 53264, 51672, 50859, 51672, 50859, 51457, 50859, 51457, 50859, 51231, 50952, 51231, 60835, 51231, 50809, 51231, 50809, 51672, 50862, 51672, 50862, 51672, 50955, 51457, 50878, 51231, 58038, 51672, 50812, 51672, 50812, 51231, 50921, 51231, 50921, 51457, 50952, 51457, 59349, 51231, 50809, 51231, 50809, 51672, 50840, 51672, 50840, 51457, 50897, 51231, 50938, 51672, 50866, 50799, 51672, 50859, 51672, 50859, 51457, 50821, 51457, 50821, 51231, 50921, 51231, 59723, 51231, 50880, 51231, 50880, 51672, 50862, 51672, 75470, 50917, 51672, 50866, 51457, 56800, 51672, 50833, 51672, 50833, 51231, 50952, 51231, 50952, 51457, 50897, 51457, 57066, 51231, 50880, 51231, 50880, 51672, 50862, 51672, 75470, 50897, 51672, 50878, 51457, 56057, 51672, 50812, 51672, 50812, 51231, 50830, 51231, 50830, 51457, 50830, 51457, 54630, 51231, 50809, 51231, 50809, 51672, 50813, 51672, 50813, 51231, 50910, 51672, 50942, 51457, 55620, 51672, 50808, 51672, 50808, 51457, 50808, 51457, 50808, 51231, 50910, 51231, 57939, 51231, 50809, 51231, 50809, 51672, 50840, 51672, 50840, 51231, 50910, 51672, 50878, 51457, 50897, 53655, 50849, 66268, 51014, 51672, 50952, 51457, 50921, 54310, 51192, 55383, 51226, 52690, 51226, 51457, 57676, 56333, 50362, 50412, 60165, 60150, 50420, 51672, 50813, 51231, 50808, 51231, 50800, 51672, 50844, 51457, 50833, 53927, 50849, 51672, 54834, 59752, 50361, 50412, 58424, 54691, 50426, 51231, 50821, 51672, 50812, 51457, 50859, 51231, 52045, 51981, 54300, 58563, 50361, 50411, 67058, 50361, 50411, 50432, 51231, 50846, 51672, 50836, 51231, 50897, 51672, 50942, 51457, 56057, 51457, 50800, 51231, 50830, 51672, 58937, 51231, 50809, 51672, 50836, 51231, 50910, 51672, 50878, 51457, 57006, 51231, 50821, 51672, 50833, 51457, 54418, 51231, 50836, 51672, 50813, 51231, 50833, 51672, 50925, 51457, 50925, 50799, 51672, 50812, 51457, 50859, 51231, 63817, 51231, 50809, 51672, 75470, 50812, 51457, 50812, 51672, 57629, 51231, 50821, 51672, 50808, 51457, 53974, 51231, 50887, 51672, 50855, 51231, 50812, 51672, 50854, 51457, 52841, 51231, 50894, 51672, 50812, 51457, 54811, 51231, 50840, 51672, 50857, 51231, 50812, 51672, 50810, 51457, 53639, 51672, 50812, 51457, 50859, 51231, 62620, 51231, 50809, 51672, 50840, 51231, 50833, 51672, 50810, 51457, 50833, 66268, 50813, 51231, 50930, 51672, 50859, 51457, 51033, 55383, 50896, 52690, 51294, 52978, 69551, 51672, 50810, 51457, 50901, 51672, 63559, 51231, 50864, 51231, 50855, 51672, 50854, 51457, 53627, 53655, 50812, 51231, 50810, 51672, 50955, 51457, 50849, 51672, 64967, 51231, 50837, 51231, 50821, 51672, 50833, 51457, 50821, 55383, 51238, 52690, 51238, 55142, 52711, 51231, 50822, 51672, 51008, 51457, 50937, 51672, 53562, 51231, 50829, 51231, 50821, 51672, 50833, 51457, 51754, 51457, 50837, 51231, 50810, 51672, 50810, 51457, 50938, 51672, 50849, 66268, 50863, 51231, 50834, 51672, 50854, 51457, 51835, 51231, 50833, 51249, 50812, 51327, 50808, 51457, 50833, 51327, 50937, 51249, 50873, 53655, 51472, 50426, 51231, 50829, 51231, 50971, 51249, 50874, 51327, 52739, 51457, 50864, 51231, 50844, 51249, 50844, 51327, 50810, 51249, 50805, 51327, 50805, 52978, 53415, 51231, 50835, 51231, 50835, 51249, 50857, 51457, 50886, 51327, 50844, 52978, 53524, 53655, 50808, 51719, 50925, 51327, 50878, 51457, 50878, 51249, 50938, 51249, 50845, 51327, 50873, 52978, 54208, 51719, 50886, 51719, 50857, 51249, 50862, 51327, 50886, 51457, 50867, 53655, 50833, 52978, 54583, 53655, 50857, 51719, 50904, 51249, 50857, 51457, 50857, 51249, 50925, 51327, 50937, 54148, 50855, 78937, 50863, 51231, 50800, 51672, 50859, 51457, 50910, 55383, 51060, 52690, 50967, 52978, 54507, 51231, 50867, 51672, 51008, 51672, 50937, 51457, 56800, 51231, 50855, 51672, 50833, 51457, 51628, 51231, 50930, 53655, 50882, 51672, 50882, 51672, 50866, 51457, 56282, 51231, 72980, 50800, 51672, 50859, 51457, 50859, 55383, 51100, 52690, 51095, 55142, 54207, 51231, 50813, 51672, 50878, 51672, 50977, 51457, 55758, 51231, 50829, 51231, 50910, 51672, 50910, 51457, 57973, 51231, 50827, 51672, 50955, 51672, 50977, 51457, 50938, 66268, 50925, 51672, 50925, 51457, 63817, 51231, 50833, 51249, 50833, 51327, 50810, 51249, 50878, 51327, 50910, 51457, 50878, 51457, 50937, 53655, 69555, 51249, 50864, 51327, 54860, 51457, 50855, 51231, 50833, 51249, 50833, 51327, 50844, 53655, 50897, 51327, 50878, 51249, 50866, 51457, 50866, 52978, 52781, 53655, 50813, 51719, 50864, 51249, 50813, 51457, 50857, 51231, 50844, 51327, 50822, 52978, 54758, 51457, 50864, 53655, 50854, 51249, 50833, 51719, 50925, 51249, 50917, 51327, 50873, 51327, 51194, 52978, 53938, 51457, 50835, 51719, 51000, 51249, 50857, 53655, 50844, 52978, 55370, 51457, 50835, 53655, 50855, 51719, 50857, 51249, 73879, 50942, 51327, 50937, 54148, 50855, 66513, 50821, 51249, 50821, 51327, 50800, 56698, 51111, 53075, 51095, 52978, 52871, 51303, 50867, 51249, 50813, 51327, 50854, 51249, 50977, 51327, 56800, 51303, 50864, 51327, 50864, 51303, 50810, 51249, 50854, 52803, 54216, 51327, 50855, 51303, 50844, 51249, 50833, 53248, 50925, 51249, 50873, 51327, 51101, 55142, 53894, 51303, 50863, 51303, 50808, 51249, 50808, 51327, 50921, 56698, 50873, 53075, 51091, 54033, 54840, 51303, 50867, 51327, 50867, 51249, 50833, 51249, 50917, 51327, 57415, 51303, 50863, 51303, 50857, 51249, 50833, 51327, 50808, 54148, 54166, 51303, 50864, 51249, 50844, 51249, 50925, 51327, 50873, 66513, 50837, 51303, 50857, 51327, 50857, 51249, 50810, 53075, 50925, 52978, 55777, 51303, 50859, 51414, 50882, 52303, 50910, 51457, 50921, 51414, 50865, 51457, 56412, 51303, 75630, 50854, 51457, 50844, 52303, 51312, 50432, 51457, 50834, 51303, 50886, 51414, 50833, 51457, 50865, 51414, 67174, 51303, 50834, 51303, 50855, 52303, 50854, 51414, 50833, 51457, 52597, 51476, 50882, 51465, 50821, 65652, 51327, 50830, 51327, 50938, 51231, 50805, 52803, 53688, 51465, 50886, 51476, 50822, 51465, 50810, 51231, 50810, 51327, 50942, 52803, 53875, 51476, 50855, 51465, 50813, 51327, 50857, 51231, 50810, 51231, 50938, 51327, 50937, 67718, 50835, 51231, 50821, 51672, 50808, 51457, 50952, 52690, 51192, 52978, 51835, 51231, 50886, 51457, 50857, 51672, 50822, 51672, 50937, 51457, 54919, 51231, 50863, 51231, 50862, 51672, 50812, 51457, 54372, 53655, 50808, 51231, 50854, 51672, 50854, 51672, 50845, 51457, 53470, 51231, 50825, 65652, 51672, 50808, 51457, 50952, 52690, 51215, 55383, 51238, 55142, 54400, 51457, 50837, 51231, 50925, 51672, 50878, 51457, 50917, 51672, 55125, 51231, 50825, 51231, 50840, 51672, 50833, 51457, 54896, 51231, 50810, 51672, 50878, 51457, 50937, 51672, 50901, 66268, 50835, 51672, 50833, 51457, 51835, 53655, 50821, 65652, 51249, 50812, 51457, 73879, 50878, 51327, 50925, 51327, 50910, 51457, 57499, 51231, 50864, 51249, 50886, 53655, 50984, 51327, 53513, 51249, 50840, 51457, 50836, 65652, 51327, 50810, 53655, 50897, 51249 ]

[ 0, 250, 20902, 8, 15352, 30054, 5862, 13134, 2214, 4246, 10, 11577, 12547, 9, 21072, 6, 13305, 6, 326, 5638, 18026, 6, 38668, 2236, 6, 8, 32909, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 230, 6, 274, 401, 6, 8, 272, 119, 17992, 7, 5, 2214, 18, 17627, 17274, 8, 1372, 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 ]

[ 58402, 50801, 56088, 54094, 60527, 54925, 75744, 51706, 50886, 52157, 51309, 51485, 51500, 51579, 50975, 52058, 51112, 51866, 51354, 71855, 52432, 50913, 59043, 52314, 51033, 52698, 58218, 50903, 53414, 52245, 58830, 51706, 50864, 76348, 51144, 53383, 51140, 62123, 56088, 54094, 59556, 56171, 51485, 50836, 51509, 50887, 52058, 50857, 51702, 54216, 51706, 51412, 51099, 51221, 50903, 55140, 52245, 54288, 50903, 52543, 52766, 52157, 51309, 50801, 56088, 55691, 59556, 58431, 51485, 50887, 71555, 52058, 50855, 51702, 54989, 50903, 52543, 57028, 51144, 50810, 51099, 56317, 50903, 56122, 52245, 60044, 51485, 50887, 71733, 52058, 50855, 51866, 56604, 50801, 56088, 55691, 59556, 56086, 51198, 50855, 51140, 51277, 50453, 51485, 50887, 51579, 51010, 52058, 50855, 51866, 54647, 51706, 50833, 51485, 50862, 51509, 50880, 52058, 50886, 51702, 56880, 53317, 52245, 54794, 50903, 52245, 50829, 60603, 50886, 51099, 53309, 56088, 54094, 60527, 54925, 51461, 51277, 51431, 50948, 51579, 51505, 51947, 50917, 51866, 51192, 71855, 52432, 51431, 50925, 52314, 50823, 51947, 50955, 52698, 75820, 54104, 51280, 51174, 51144, 50978, 50903, 53414, 52245, 52762, 51140, 51309, 51431, 50809, 51509, 50883, 51947, 50862, 51702, 54005, 56088, 54094, 59556, 52209, 50903, 55140, 52245, 57107, 51280, 51423, 51099, 51233, 50435, 50903, 52543, 52766, 51461, 51277, 50801, 56088, 55691, 59556, 52210, 51144, 61319, 52543, 54368, 50903, 56122, 52245, 52802, 51561, 53309, 56088, 55691, 59556, 56086, 51140, 51277, 50455, 51280, 54194, 50903, 53317, 52245, 54794, 50903, 52245, 50829, 60603, 50904, 58444, 51461, 50838, 51579, 50976, 51866, 51505, 50801, 56088, 54094, 60527, 54925, 51431, 51379, 51509, 50949, 51947, 50967, 51702, 58486, 51170, 52432, 52314, 50894, 52698, 55065, 54104, 51280, 50874, 51144, 63088, 53414, 52245, 52762, 51509, 50962, 51431, 50887, 51702, 50887, 51947, 53933, 56088, 54094, 59556, 56171, 51140, 70402, 51099, 51110, 50903, 55140, 52245, 57107, 51280, 51423, 50435, 50903, 52543, 50829, 51658, 56088, 55691, 59556, 56484, 51461, 51006, 50443, 51431, 50890, 71555, 51947, 50836, 51702, 54989, 51144, 60629, 52543, 57028, 51280, 55686, 50903, 56122, 52245, 60044, 51431, 50809, 71733, 51947, 50855, 51866, 54411, 51561, 50854, 51140, 62123, 56088, 55691, 59556, 57109, 51431, 50924, 51579, 50949, 51947, 50937, 51866, 53685, 51706, 50867, 51280, 50867, 51509, 51010, 51702, 69573, 53317, 52245, 54794, 50903, 52245, 56172, 51198, 50841, 51144, 50841, 51099, 50884, 51119, 50846, 51308, 50828, 59670, 50827, 51485, 50883, 51509, 50817, 52336, 51010, 52058, 50818, 51702, 50949, 52178, 50880, 51768, 51724, 50903, 58350, 51140, 56197, 51560, 53996, 51461, 62413, 54418, 52157, 50864, 51755, 56088, 54094, 55300, 54925, 51706, 50974, 51099, 50845, 52157, 50825, 51140, 51309, 51485, 51653, 51579, 50976, 52058, 51160, 51866, 51388, 71855, 52432, 50913, 59043, 52314, 50940, 52698, 67761, 50903, 53414, 52245, 58830, 51706, 50864, 51144, 53906, 52157, 51277, 51485, 50809, 51509, 50880, 52058, 50862, 51702, 52773, 56088, 54094, 59556, 52209, 51706, 51534, 51099, 51025, 50903, 55140, 52245, 54288, 50903, 52543, 52766, 51140, 62123, 56088, 55691, 59556, 58408, 51485, 50880, 71555, 52058, 50840, 51702, 54989, 50903, 52543, 57028, 51144, 55118, 50903, 56122, 52245, 60044, 51485, 50930, 71733, 52058, 50809, 51866, 56604, 52157, 55930, 56088, 55691, 59556, 56086, 51198, 65556, 51485, 50887, 71733, 52058, 50855, 51866, 54647, 51706, 58713, 53317, 52245, 57534, 51485, 50840, 71555, 52058, 50813, 51702, 57521, 50903, 52245, 56172, 51140, 51172, 60603, 51006, 51099, 55675, 56088, 54094, 60527, 54925, 51431, 50948, 51579, 50976, 51947, 50938, 51866, 51388, 71855, 52432, 51431, 50867, 52314, 50803, 51947, 50904, 52698, 53540, 54104, 51280, 51008, 51144, 50942, 50903, 53414, 52245, 52762, 51461, 50838, 51431, 50840, 51509, 50930, 51947, 50862, 51702, 52773, 56088, 54094, 59556, 52209, 50903, 55140, 52245, 57107, 51099, 51363, 51280, 51423, 50435, 50903, 52543, 52766, 51140, 62123, 56088, 55691, 59556, 52210, 50903, 52543, 57028, 51144, 54803, 50903, 56122, 52245, 52802, 51561, 50813, 51461, 55056, 56088, 55691, 59556, 52349, 51280, 58713, 53317, 52245, 54794, 50903, 52245, 50829, 60603, 50978, 51099, 50901, 51431, 51460, 51579, 50976, 51947, 51238, 51866, 51388, 50801, 56088, 54094, 60527, 54925, 51140, 51309, 71855, 52432, 52314, 50921, 52698, 50910, 50913, 54104, 50903, 53414, 52245, 58830, 51280, 50822, 51144, 53049, 51461, 51277, 51431, 50809, 51509, 50883, 51947, 50855, 51702, 54376, 56088, 54094, 59556, 52209, 51280, 51233, 51099, 51110, 50903, 55140, 52245, 54288, 50903, 52543, 50829, 51658, 56088, 55691, 59556, 56484, 51140, 72194, 51485, 50880, 71555, 52058, 50840, 51702, 57736, 79633, 51280, 64903, 52543, 54368, 50903, 56122, 52245, 56918, 51485, 50887, 71733, 52058, 50855, 51866, 54411, 51561, 50862, 51461, 51277, 50801, 56088, 55691, 59556, 57109, 51485, 50840, 51579, 50880, 52058, 50862, 51866, 61519, 51280, 54199, 50903, 53317, 52245, 57534, 51485, 50855, 71555, 52058, 50857, 51702, 63574, 50903, 52245, 56172, 51706, 50862, 51099, 50809, 51198, 50846, 51494, 50839, 53202, 72614, 67972, 51485, 50880, 79121, 51509, 50949, 52058, 50809, 52178, 50962, 51702, 59653, 52228, 50887, 51979, 68491, 52365, 51820, 52228, 50836, 51978, 50383, 63599, 52513, 52228, 50813, 51979, 50384, 54502, 59186, 52809, 52228, 50917, 51979, 55433, 51978, 64961, 52157, 51309, 61310, 50836, 51706, 50813, 51979, 55461, 56088, 53589, 54925, 52228, 58160, 51170, 52432, 52228, 50855, 51978, 55473, 54104, 51099, 62421, 53414, 52245, 58830, 51706, 53803, 51140, 62123, 56088, 53414, 52209, 51706, 51534, 51144, 51377, 50903, 55140, 52245, 54288, 50903, 52543, 57405, 52228, 50809, 51979, 60364, 52157, 51277, 50801, 56088, 56122, 52210, 52228, 50840, 51978, 67344, 52543, 57028, 51099, 50867, 51706, 54043, 52228, 50862, 51979, 67344, 56122, 52245, 52802, 51144, 50886, 51140, 51277, 50801, 56088, 56122, 56086, 51706, 66379, 52228, 50836, 51979, 54663, 51198, 50867, 52228, 50813, 51978, 50962, 51979, 64868, 53317, 52245, 54794, 50903, 52245, 56172, 51461, 51309, 60603, 50827, 75744, 51979, 54020, 56088, 53589, 54925, 52394, 57368, 51170, 52432, 52394, 50855, 51978, 55473, 54104, 51280, 50867, 51144, 60369, 53414, 52245, 52762, 51140, 51309, 50801, 56088, 53414, 52209, 51280, 51242, 51561, 51178, 50903, 55140, 52245, 54288, 50903, 52543, 52766, 51461, 51006, 52394, 50859, 51979, 52750, 56088, 56122, 52210, 51099, 50822, 52394, 50855, 51978, 71074, 52543, 54368, 50903, 56122, 52245, 60044, 52394, 50857, 51979, 52555, 51144, 50874, 51280, 51000, 51140, 51309, 50801, 56088, 56122, 53545, 52394, 50855, 51979, 55433, 51561, 63088, 53317, 52245, 57534, 52394, 50857, 51978, 63574, 50903, 52245, 50829, 66301, 50854, 51461, 50933, 51979, 57888, 56088, 53589, 54639, 51170, 52432, 52394, 80144, 54104, 51280, 50874, 51144, 50813, 52608, 60764, 53414, 52245, 56982, 51140, 51309, 62578, 56088, 53414, 54013, 51979, 56629, 51099, 51178, 51978, 67854, 55140, 52245, 57107, 51280, 52482, 50435, 50903, 52543, 57405, 51461, 51277, 51979, 50962, 51658, 56088, 56122, 58431, 52394, 60204, 51144, 63088, 52543, 54368, 52608, 76132, 56122, 52245, 56918 ]

[ 0, 250, 33928, 8, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 132, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 7630, 14805, 6453, 9, 657, 8, 7125, 149, 63, 5679, 26709, 34879, 8, 5, 16331, 33215, 16739, 9, 272, 119, 6, 230, 406, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50426, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 59205, 51076, 51631, 59241, 59205, 51076, 51736, 59241, 59205, 61830, 51057, 62978, 72158, 50929, 53561, 51032, 51631, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 51057, 70095, 51504, 50918, 51136, 63229, 50947, 51835, 50929, 52296, 50970, 51620, 50998, 54253, 50970, 51628, 50929, 52262, 68387, 51057, 59241, 63139, 53271, 54994, 50970, 51631, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 51076, 53471, 50970, 51620, 59241, 51076, 54253, 50970, 51628, 59241, 51076, 53505, 68421, 51057, 72158, 58352, 51032, 52910, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 66702, 63139, 51504, 58076, 50970, 51835, 59241, 51064, 53471, 50970, 51620, 50625, 57304, 51504, 57102, 50970, 51628, 67674, 50947, 53505, 68421, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 59205, 51076, 51631, 59241, 59205, 51076, 51736, 59241, 59205, 61830, 51057, 62978, 72158, 50929, 53561, 51032, 51631, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 51057, 70095, 51504, 50918, 51136, 63229, 50947, 51835, 50929, 52296, 50970, 51620, 50998, 54253, 50970, 51628, 50929, 52262, 68387, 51057, 59241, 63139, 53271, 54994, 50970, 51631, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 51076, 53471, 50970, 51620, 59241, 51076, 54253, 50970, 51628, 59241, 51076, 53505, 68421, 51057, 72158, 58352, 51032, 52910, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 66702, 63139, 51504, 58076, 50970, 51835, 59241, 51064, 53471, 50970, 51620, 50625, 57304, 51504, 57102, 50970, 51628, 67674, 50947, 53505, 68421, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50429, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 67674, 59205, 60502, 51131, 53561, 67674, 59205, 51032, 51631, 59241, 59205, 63139, 51246, 53182, 59241, 59205, 63139, 51057, 74584, 50947, 50991, 51504, 50918, 50986, 50918, 50423, 50970, 54253, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 56422, 59205, 57304, 51549, 52115, 59205, 57304, 51549, 51631, 75045, 59205, 63139, 51067, 51736, 59205, 63139, 62978, 51057, 51504, 50918, 51504, 76971, 50970, 79508, 50947, 51091, 50419, 51032, 65183, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 66952, 59241, 59205, 51076, 51631, 66952, 59241, 59205, 51076, 51736, 66952, 59241, 59205, 61830, 51057, 51207, 50918, 51207, 76971, 51136, 79508, 50929, 51091, 50419, 51032, 65183, 51032, 52765, 51067, 51628, 51549, 52262, 51438, 50800, 66702, 51563, 52910, 70655, 72158, 50970, 62526, 50428, 50625, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50429, 50970, 58607, 50929, 52359, 50970, 57307, 50929, 53307, 50998, 58291, 71705, 51057, 67674, 59205, 60502, 51131, 53561, 67674, 59205, 51032, 51631, 59241, 59205, 63139, 51246, 53182, 59241, 59205, 63139, 51057, 74584, 50947, 50991, 51504, 50918, 50986, 50918, 50423, 50970, 54253, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 56422, 59205, 57304, 51549, 52115, 59205, 57304, 51549, 51631, 75045, 59205, 63139, 51067, 51736, 59205, 63139, 62978, 51057, 51504, 50918, 51504, 76971, 50970, 79508, 50947, 51091, 50419, 51032, 65183, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 66952, 59241, 59205, 51076, 51631, 66952, 59241, 59205, 51076, 51736, 66952, 59241, 59205, 61830, 51057, 51207, 50918, 51207, 76971, 51136, 79508, 50929, 51091, 50419, 51032, 65183, 51032, 52765, 51067, 51628, 51549, 52262, 51438, 50800, 66702, 51563, 52910, 50625, 70655, 72158, 50970, 62526, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50432, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 63127, 61830, 51057, 50947, 50983, 51032, 60055, 51444, 51631, 51444, 53182, 61675, 63139, 51057, 61662, 57304, 51444, 54994, 61675, 51064, 51631, 57304, 51032, 51736, 61662, 57304, 51057, 51064, 57484, 50807, 51207, 50918, 50419, 51032, 52628, 51064, 58741, 50947, 53467, 51064, 58067, 67640, 51032, 52329, 63139, 51067, 51736, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 61662, 57304, 51057, 71048, 51032, 53561, 51444, 59492, 61675, 51064, 51736, 61662, 57304, 51057, 61675, 63139, 51207, 54994, 51136, 60010, 50929, 59474, 51064, 52329, 59241, 50428, 50929, 57766, 51064, 52359, 51317, 57775, 50929, 59079, 51064, 50809, 51057, 51444, 50918, 51444, 76971, 50960, 79508, 51078, 51091, 50419, 50947, 69467, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 63127, 61830, 51057, 50947, 50983, 51032, 60055, 51444, 51631, 51444, 53182, 61675, 63139, 51057, 61662, 57304, 51444, 54994, 61675, 51064, 51631, 57304, 51032, 51736, 61662, 57304, 51057, 51064, 57484, 50807, 51207, 50918, 50419, 51032, 52628, 51064, 58741, 50947, 53467, 51064, 58067, 67640, 51032, 52329, 63139, 51067, 51736, 63139, 62978, 51057, 68137, 51067, 53561, 51444, 59492, 57304, 51032, 51736, 61662, 57304, 51057, 71048, 51032, 53561, 51444, 59492, 61675, 51064, 51736, 61662, 57304, 51057, 61675, 63139, 51207, 54994, 51136, 60010, 50929, 59474, 51064, 52329, 50626, 59241, 50428, 50929, 57766, 51064, 52359, 51317, 57775, 50929, 59079, 51064, 50809, 51057, 51444, 50918, 51444, 76971, 50960, 79508, 51078, 51091, 50419, 50947, 65183, 50628, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 59205, 51076, 51631, 59241, 59205, 51076, 51736, 59241, 59205, 61830, 51057, 62978, 72158, 50929, 53561, 51032, 51631, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 51057, 70095, 51504, 50918, 51136, 63229, 50947, 51835, 50929, 52296, 50970, 51620, 50998, 54253, 50970, 51628, 50929, 52262, 68387, 51057, 59241, 63139, 53271, 54994, 50970, 51631, 51067, 52765, 51549, 51628, 51292, 52262, 51438, 50800, 51057, 51438, 52115, 59241, 51076, 53471, 50970, 51620, 59241, 51076, 54253, 50970, 51628, 59241, 51076, 53505, 68421, 51057, 72158, 58352, 51032, 52910, 51032, 52765, 51067, 51628, 51549, 52262, 64921, 66702, 63139, 51504, 58076, 50970, 51835, 59241, 51064, 53471, 50970, 51620, 50625, 57304, 51504, 57102, 50970, 51628, 67674, 50947, 53505, 68421, 51057, 53271, 50807, 53271, 76971, 50960, 79508, 50970, 51091, 50419, 51064, 65183, 50628, 50429, 50970, 58607, 50929, 52359, 50970, 57307, 50929, 53307, 50998, 58291, 71705, 51057, 67674, 59205, 60502, 51131, 53561, 67674, 59205, 51032, 51631, 59241, 59205, 63139, 51246, 53182, 59241, 59205, 63139, 51057, 74584, 50947, 50991, 51504, 50918, 50986, 50918, 50423, 50970, 54253, 50929, 58607, 50970, 52359, 50929, 57307, 50970, 53307, 50998, 58291, 68902, 51057, 56422, 59205, 57304, 51549, 52115, 59205, 57304, 51549, 51631, 75045, 59205, 63139, 51067, 51736, 59205, 63139, 62978, 51057, 51504, 50918, 51504, 76971, 50970, 79508, 50947, 51091, 50419, 51032, 65183, 51067, 52765, 51549, 51628, 51292, 52262, 51438 ]

[ 0, 250, 8787, 5175, 15229, 19, 25771, 4785, 6, 17407, 30, 10, 2933, 8, 5679, 26709, 5466, 4, 16241, 212, 22052, 6, 36075, 8, 81, 9756, 29589, 6, 486, 118, 9877, 483, 6, 8, 21072, 35810, 561, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 4, 8504, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 30853, 23, 41, 178, 5285, 2877, 6, 19, 5, 40286, 163, 6, 230, 10431, 6, 8, 12608, 119, 442, 12577, 4961, 1328, 42, 23975, 34753, 3251, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52510, 51335, 57993, 51335, 53401, 51335, 59248, 51335, 52555, 52529, 50983, 56513, 50983, 51335, 63602, 51335, 54139, 51335, 59310, 51335, 52485, 51335, 58839, 51335, 53793, 51335, 57747, 51335, 50809, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 53561, 62868, 53964, 51631, 68879, 54338, 57247, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 63507, 53549, 57247, 63453, 51335, 54790, 51335, 59586, 51335, 52510, 53964, 50795, 66931, 57247, 57993, 51335, 53401, 51335, 59248, 51335, 52555, 52529, 50795, 56513, 57247, 63602, 51335, 54139, 51335, 59310, 51335, 52485, 63507, 53549, 57247, 58839, 51335, 53793, 51335, 57747, 51335, 50809, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52555, 53964, 50807, 66931, 50807, 52060, 50807, 52060, 50807, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51019, 54805, 67934, 52910, 53608, 50807, 51622, 50807, 53549, 50807, 52060, 50807, 52060, 52424, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51213, 54805, 67934, 51918, 51553, 51798, 53608, 50807, 63507, 53549, 60101, 51923, 52295, 50795, 52529, 50795, 56513, 60858, 52567, 51224, 50800, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52510, 51335, 57993, 51335, 53401, 51335, 59248, 51335, 52555, 52529, 50983, 56513, 50983, 51335, 63602, 51335, 54139, 51335, 59310, 51335, 52485, 51335, 58839, 51335, 53793, 51335, 57747, 51335, 50809, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 53561, 62868, 53964, 51631, 68879, 54338, 51736, 52529, 50795, 56513, 50795, 52060, 57307, 52060, 59079, 52060, 52444, 63507, 53549, 50795, 52060, 51918, 53964, 50795, 66931, 50795, 51553, 51798, 52529, 50795, 56513, 60101, 53312, 63507, 53549, 50795, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 67934, 52910, 51335, 63601, 51335, 54056, 51335, 58607, 51335, 52359, 52529, 50795, 56513, 57247, 57307, 51335, 53307, 51335, 58291, 51335, 52444, 51622, 50807, 53549, 67934, 63453, 51335, 54790, 51335, 59586, 51335, 52555, 53964, 50807, 66931, 50807, 52060, 50807, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51019, 54805, 67934, 52910, 53608, 50807, 51622, 50807, 53549, 50807, 52060, 52424, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51213, 54805, 67934, 51918, 50804, 51798, 53608, 50807, 63507, 53549, 51626, 79233, 51754, 52295, 50795, 52529, 50795, 56513, 50795, 52060, 50795, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51478, 50983, 51205, 55956, 67934, 52910, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 52152, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 54490, 52728, 52529, 50983, 56513, 50983, 51770, 50983, 50852, 50807, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 54490, 53561, 62868, 53964, 50795, 52232, 51631, 68879, 54338, 50795, 51478, 52152, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 63507, 53549, 50795, 52400, 51626, 54490, 53218, 53964, 50795, 66931, 50795, 52150, 51798, 52529, 50795, 56513, 50795, 51770, 52152, 53312, 63507, 53549, 50795, 52400, 50795, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 54490, 52910, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 54490, 51798, 53964, 50807, 66931, 50807, 52150, 54490, 50795, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51940, 50807, 51019, 54805, 67934, 52115, 50804, 51626, 51631, 53608, 50807, 51622, 50807, 53549, 50807, 52400, 50807, 52060, 61690, 50804, 51907, 51724, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51770, 50807, 51213, 52496, 51626, 51918, 52060, 51798, 53608, 50807, 63507, 53549, 50795, 52400, 50795, 63802, 51553, 52809, 51553, 51754, 52295, 50795, 52529, 50795, 56513, 50795, 77697, 51213, 60101, 50795, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 53608, 51492, 51854, 50983, 54338, 50983, 51499, 51036, 51823, 51036, 51478, 50983, 51205, 55956, 67934, 51631, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 54490, 51798, 52529, 50983, 56513, 50983, 51770, 50983, 67556, 50799, 52582, 51036, 52252, 51036, 52009, 51036, 51499, 51036, 51823, 51036, 51205, 55956, 67934, 52115, 62868, 53964, 50795, 52232, 51631, 68879, 54338, 50795, 51478, 52152, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 63507, 53549, 50795, 52400, 51626, 67934, 51918, 53964, 50795, 66931, 50795, 52150, 51798, 52529, 50795, 56513, 50795, 51770, 52152, 51923, 63507, 53549, 50795, 52400, 50795, 50799, 72890, 52252, 51036, 52009, 51036, 52471, 51036, 51854, 50983, 54338, 50983, 51245, 51036, 51478, 51036, 50953, 55956, 57247, 51631, 50852, 51736, 52529, 50795, 56513, 50795, 51770, 51646, 51622, 50807, 53549, 50807, 52400, 52496, 52152, 51918, 50804, 51798, 53964, 50807, 66931, 50807, 52150, 52496, 79233, 51754, 52060, 50795, 50799, 51678, 50918, 52252, 50918, 52295, 50918, 52471, 50807, 52294, 50807, 55652, 50807, 51404, 50918, 51746, 50918, 51940, 50807, 51019, 54805, 50991, 51335, 52115, 50804, 52296, 50798, 58792, 51620, 53608, 50807, 51622, 50807, 53549, 50807, 52400, 67934, 52765, 50804, 51628, 50804, 52262, 50804, 51724, 51701, 50918, 52736, 50918, 52295, 50807, 53608, 50983, 52529, 50807, 56513, 50807, 51823, 50918, 52232, 50918, 51770, 50807, 51213, 50807, 52060, 51918, 52060, 51798, 53608, 50807, 63507, 53549, 50795, 52400, 50795, 63802, 51553, 63602, 51553, 57637, 51553, 52485, 52295, 50795, 52529, 50795, 56513, 50795, 77697, 51213, 60101, 50795, 65919, 52582, 50807, 52252, 50807, 52009, 50807, 62868, 51205, 52221, 74019 ]

[ 0, 250, 19448, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 13305, 6, 579, 1517, 20426, 31365, 25999, 6, 17605, 9590, 6, 6755, 12547, 6, 8, 7304, 4627, 4, 20, 33301, 7630, 6568, 10, 1472, 9, 657, 8, 11098, 6, 10686, 13, 10, 1619, 822, 19834, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 7212, 20889, 9, 7994, 13410, 228, 2289, 6, 5, 2125, 11498, 10, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 50871, 52231, 51247, 52335, 51050, 52062, 56945, 51797, 53523, 56626, 50871, 53891, 50877, 51097, 56222, 77146, 50871, 50838, 54734, 52151, 51050, 52062, 56945, 51753, 53523, 51314, 74769, 52783, 57019, 52168, 50727, 50309, 59124, 51085, 51852, 50727, 50311, 56109, 50900, 51797, 54734, 52062, 51050, 52335, 50727, 50313, 51965, 56945, 51797, 53523, 70550, 51027, 51961, 50727, 50309, 51058, 57019, 51243, 50727, 50309, 51677, 55513, 51314, 76400, 69173, 51085, 51174, 54734, 52335, 51050, 53588, 56945, 51753, 53523, 51330, 50727, 50311, 55665, 51027, 51447, 57019, 51314, 50727, 50309, 51423, 55513, 51477, 50727, 50311, 51709, 50450, 51085, 53581, 50956, 51006, 50727, 50313, 51481, 54662, 52151, 50997, 52335, 50727, 50314, 51283, 54569, 51753, 53645, 52335, 58296, 52598, 50727, 50309, 51174, 63808, 52980, 50727, 50309, 51939, 50450, 51050, 68590, 50899, 51074, 55435, 52335, 51234, 52062, 54569, 51884, 53645, 51244, 50727, 50311, 51199, 58296, 52256, 63808, 51314, 50727, 50309, 61112, 51050, 51108, 56279, 50932, 50727, 50311, 62214, 50871, 51481, 54734, 51592, 51050, 52335, 50727, 50313, 51965, 56945, 51797, 53523, 51314, 74769, 51447, 50727, 50313, 56180, 79173, 50727, 50313, 51637, 50450, 51085, 59781, 60906, 50727, 50309, 51797, 54868, 52062, 50899, 52335, 50727, 50313, 51318, 55961, 51642, 56207, 51080, 58783, 51679, 50727, 50313, 55659, 50902, 51447, 50727, 50314, 51637, 69375, 51576, 56415, 56109, 50877, 50972, 50727, 50313, 51210, 54795, 51939, 51026, 52335, 50727, 50313, 52136, 56363, 51642, 53337, 51314, 71288, 52783, 50727, 50311, 51254, 57267, 51447, 50727, 50311, 52431, 50450, 51120, 61703, 50899, 51174, 53997, 52222, 50900, 53142, 56440, 52059, 54439, 51314, 79047, 51961, 64185, 52168, 50715, 50292, 56282, 50876, 51423, 50715, 50296, 51056, 50727, 50309, 61112, 51026, 51380, 65851, 51109, 71962, 51124, 50727, 50311, 51330, 72786, 50838, 54734, 52062, 51050, 52335, 67687, 51241, 50727, 50313, 54532, 56945, 52059, 53523, 51447, 51825, 51328, 74769, 52783, 67687, 50855, 50727, 50309, 51174, 51981, 51481, 57019, 52783, 67687, 51191, 50727, 50309, 51939, 52287, 71320, 51085, 51484, 72407, 51806, 67687, 50836, 53171, 50857, 54734, 51592, 51050, 53588, 67687, 51134, 54310, 51310, 56945, 51797, 53523, 51108, 50727, 50311, 64809, 51027, 52168, 67687, 50855, 53171, 53614, 71698, 67687, 51241, 50727, 50309, 51309, 54310, 51025, 55513, 51419, 50727, 50311, 58959, 51085, 50838, 53171, 58667, 50956, 50974, 67687, 50855, 50727, 50313, 51642, 54662, 52151, 50997, 52062, 72352, 50889, 50727, 50314, 51637, 52932, 52168, 54569, 53161, 53645, 51314, 58296, 52980, 72352, 50855, 50727, 50309, 51174, 63808, 52168, 72352, 51191, 50727, 50309, 52140, 50444, 52287, 54323, 51050, 51380, 52932, 77228, 50871, 51108, 72352, 50855, 53171, 51006, 54662, 52062, 50997, 52062, 72352, 51413, 53171, 51097, 54569, 51797, 53645, 51097, 50727, 50311, 51108, 52932, 51330, 58296, 52263, 63808, 51080, 72352, 51095, 50727, 50309, 51679, 53171, 51381, 57428, 77069, 51050, 50838, 72352, 50840, 50727, 50311, 63190, 50899, 51079, 52932, 51212, 54734, 51477, 51050, 51318, 67687, 51241, 50727, 50313, 51965, 52287, 51878, 56945, 51961, 53523, 51645, 58783, 50972, 67687, 50813, 50727, 50313, 51006, 55898, 51283, 51120, 51627, 63598, 51241, 50727, 50313, 51637, 52287, 50981, 57428, 51637, 60027, 51709, 51981, 57092, 50902, 51376, 63598, 50854, 50727, 50313, 54298, 51825, 51481, 54795, 51318, 51026, 51627, 71962, 51241, 50727, 50311, 51965, 51981, 52168, 56363, 51961, 53337, 52056, 58319, 51753, 71962, 50810, 50727, 50311, 51277, 62275, 51627, 50900, 51878, 50715, 50292, 51241, 50727, 50313, 51637, 65827, 52136, 51981, 50974, 56222, 50932, 52287, 66983, 50876, 51254, 50715, 50292, 50855, 50727, 50311, 51174, 51981, 50933, 54662, 52222, 50997, 53142, 72352, 51241, 50727, 50311, 52140, 51981, 51283, 54569, 51797, 53645, 51244, 58296, 52783, 72352, 50867, 51825, 56480, 78766, 72352, 51178, 51825, 76619, 51050, 51380, 65851, 50995, 72352, 50925, 50727, 50309, 51576, 50456, 50871, 50838, 54734, 52222, 51050, 52335, 67687, 51351, 50727, 50309, 51445, 56945, 51797, 53523, 70550, 51027, 51314, 67687, 54431, 50871, 51097, 67687, 50897, 55513, 51381, 60027, 51051, 67687, 53875, 50871, 50838, 53997, 52151, 50900, 52062, 50715, 50292, 51191, 56440, 51642, 54439, 55665, 50916, 51637, 50715, 50292, 53415, 50906, 51080, 50715, 50296, 51346, 50727, 50309, 50981, 58365, 52337, 50450, 51026, 50972, 71962, 51178, 50727, 50311, 63190, 50916, 50972, 54734, 52062, 51050, 52062, 67687, 50943, 50727, 50313, 51637, 56945, 52059, 53523, 51679, 51825, 68766, 51027, 51333, 67687, 50855, 50727, 50309, 51006, 51981, 52718, 50871, 51592, 67687, 51241, 50727, 50309, 51662, 52287, 50995, 55513, 51314, 76400, 73786, 51085, 51174, 67687, 50809, 53171, 51212, 54734, 52222, 51050, 52222, 67687, 51191, 54310, 51380, 56945, 51797, 53523, 50932, 50727, 50311, 51108, 53171, 51965, 74769, 52168, 67687, 54431, 77920, 67687, 51191, 50727, 50309, 51309, 55513, 51381, 50727, 50311, 54980, 51085, 50972, 54310, 55345, 50956, 51006, 67687, 50836, 50727, 50313, 51753, 53171, 50974, 54662, 52071, 50997, 52222, 72352, 51351, 50727, 50314, 51283, 52932, 51419, 54569, 52482, 53645, 51542, 58296, 51333, 72352, 50836, 50727, 50309, 51174, 50727, 50311, 50891, 53171, 53264, 50906, 52168, 72352, 51191, 50727, 50309, 51671, 52932, 51542, 57428, 51878, 56279, 51709, 50456, 51050, 51051, 72352, 50855, 53171, 50845, 54662, 51662, 50997, 52062, 72352, 51241, 52932, 51318, 54569, 51753, 53645, 55665, 50899, 51637, 72352, 50836, 52287, 51328, 63808, 51314, 72352, 51060, 50727, 50309, 51419, 52932, 51484, 57428, 51477, 50450, 51050, 51058, 72352, 50836, 50727, 50311, 51679, 53171, 54509, 50899, 50972, 52932, 50972, 54734, 52222, 51050, 52222, 67687, 51351, 50727, 50313, 51878, 52287, 51419, 56945, 52059, 53523, 70550, 51027, 51314, 67687, 50855, 51825, 53614, 50871, 51097, 67687, 51191, 50727, 50313, 51637, 51825, 51419, 55513, 51679, 60027, 54194, 50871, 51058, 67687, 50855, 50727, 50313, 51006, 52287, 50810, 54868, 52222, 50899, 52062, 63598, 51351, 50727, 50313, 51477, 52287, 51097, 55961, 51797, 56207, 51097, 58783, 51542, 63598, 50839, 50727, 50313, 51242, 51825, 55467, 50902, 51080, 63598, 50818, 50727, 50314, 51108, 51825, 51419, 67964, 51283, 56415, 51097, 63598, 50828, 50727, 50313, 52188, 50456, 51027, 50886, 51981, 50955, 54795, 52151, 51026, 52062, 71962, 51351, 50727, 50313, 51627, 52287, 50981, 56363, 51797, 53337, 51108, 51981, 51878, 71288, 51679, 71962, 50836, 50727, 50311, 51142, 57267, 51484, 71962, 50836, 50727, 50311, 51748, 55989, 51679, 56415, 79652, 58090, 71962, 50836, 52287, 54771, 50861, 51481, 51981, 51051, 53997, 52062, 50900, 53142, 50715, 50292, 51091, 52287, 51419, 56440, 51797, 54439, 51080, 64185, 52168, 50715, 50292, 50917, 51981, 54137, 50876, 51801, 50715, 50296, 51221, 50727, 50309, 51679, 51825, 59242, 51026, 51709, 65851, 51709, 71962, 50917, 50727, 50311, 51330, 51981, 58667, 50861, 51254, 54734, 52222, 51050, 52222, 67687, 50943, 50727, 50313, 52263, 52287, 51680, 56945 ]

[ 0, 713, 33558, 5175, 2214, 1575, 10, 11739, 9, 30587, 8, 3459, 29589, 6, 10, 6755, 12547, 6, 21072, 6, 8, 13305, 6, 2351, 10, 15352, 30054, 8, 17627, 17274, 5466, 4, 590, 10, 1769, 20889, 9, 18461, 13410, 228, 2289, 6, 24, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 15229, 23645, 10, 13428, 9, 28325, 2397, 6, 442, 24, 10, 455, 12, 16096, 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 ]

[ 56236, 50796, 50444, 63481, 56044, 51726, 50806, 51545, 58429, 64053, 65326, 59164, 72821, 51278, 50866, 51329, 50865, 51545, 50882, 51726, 65102, 51033, 50992, 51033, 50935, 51045, 68923, 50807, 51046, 51013, 60273, 52331, 50896, 51726, 66282, 51090, 50850, 51054, 51125, 54107, 51278, 50897, 51046, 50924, 51219, 50937, 52331, 51033, 51726, 50952, 50868, 71936, 78607, 55276, 52331, 50795, 51726, 55885, 52331, 50795, 51726, 51798, 52331, 50795, 51726, 51923, 52331, 50795, 51726, 50805, 50799, 52331, 50795, 51726, 52115, 52331, 50879, 51726, 51631, 52331, 50795, 51726, 51736, 52331, 50795, 51726, 51646, 52331, 50879, 51726, 51918, 54633, 57163, 69709, 51726, 50879, 51545, 58429, 68951, 65326, 59164, 51278, 50942, 74813, 72821, 51545, 50948, 51726, 55363, 51033, 50992, 51033, 50935, 50823, 50799, 51473, 50807, 51548, 50807, 51529, 50889, 51990, 51016, 51729, 51013, 51017, 51054, 50944, 51054, 50850, 75190, 51473, 50938, 51548, 50865, 51529, 50937, 51990, 50830, 51729, 50921, 51017, 51021, 50944, 60787, 63982, 51990, 50795, 51729, 51918, 51990, 50795, 51729, 54230, 51990, 50795, 51729, 52961, 51990, 50795, 51729, 50795, 50799, 51990, 50795, 51729, 52864, 51990, 50795, 51729, 52483, 51990, 50879, 51729, 52605, 51990, 50879, 51729, 52446, 51990, 50795, 51729, 56209, 63481, 74528, 51456, 50846, 51726, 50879, 51545, 56567, 64053, 65326, 59164, 51278, 50866, 51329, 50865, 51219, 50977, 51326, 50818, 51726, 50879, 51545, 56567, 51033, 50992, 51033, 50935, 51045, 56672, 50835, 68923, 50807, 51046, 51013, 60273, 52166, 50820, 51350, 50830, 52331, 50896, 51726, 66282, 51090, 50850, 51054, 51125, 50824, 51039, 52499, 50863, 51350, 58798, 51278, 50897, 51046, 50924, 51219, 50937, 58706, 72646, 52459, 50858, 52331, 51033, 51726, 50952, 50868, 71936, 78607, 54684, 50920, 52348, 50829, 51350, 50830, 68435, 50834, 51780, 50858, 52331, 50795, 51726, 55885, 50920, 52223, 50835, 51350, 50910, 52331, 50795, 51726, 51798, 58706, 72646, 51355, 50858, 52331, 50795, 51726, 50795, 51453, 52499, 50863, 51350, 50897, 52331, 50795, 51726, 50805, 51755, 51135, 50834, 51350, 50910, 52331, 50795, 51726, 78318, 51987, 50863, 51350, 50897, 52331, 50879, 51726, 51631, 58706, 72646, 52459, 50859, 52331, 50795, 51726, 51736, 56278, 50863, 51350, 50942, 52331, 50795, 51726, 51646, 52166, 50820, 51780, 50859, 52331, 50879, 51726, 51918, 54633, 57163, 69709, 56278, 50863, 51350, 50977, 51726, 50879, 51545, 58429, 68951, 65326, 59164, 74813, 72821, 51278, 50901, 58706, 72646, 51355, 50858, 51545, 50948, 51726, 55363, 51033, 50992, 51033, 50935, 54178, 50920, 52348, 50835, 51350, 50830, 50799, 51473, 50807, 51548, 50807, 51529, 50889, 52166, 50834, 51729, 50830, 51990, 51016, 51729, 51013, 51017, 51054, 50944, 51054, 50850, 51237, 51039, 51987, 50863, 51729, 53244, 51473, 50938, 51548, 50865, 51529, 50937, 58706, 71719, 51355, 50858, 51990, 50830, 51729, 50921, 51017, 51021, 50944, 71936, 68029, 56278, 50863, 51729, 50830, 68435, 75395, 50858, 51990, 50795, 51729, 51918, 50920, 52223, 50835, 51729, 50910, 51990, 50795, 51729, 54230, 58706, 71719, 51659, 50858, 51990, 50795, 51729, 52961, 56278, 50863, 51729, 50897, 51990, 50795, 51729, 50795, 51755, 51135, 50820, 51729, 50910, 51990, 50795, 51729, 50805, 51039, 71853, 52786, 50863, 51729, 50897, 51990, 50795, 51729, 52483, 58706, 51044, 69418, 50818, 79884, 51990, 50879, 51729, 52605, 58787, 50863, 51729, 50942, 51990, 50879, 51729, 50805, 68435, 75395, 50859, 51990, 50795, 51729, 56209, 67110, 63481, 51219, 73558, 52223, 69418, 50818, 51729, 50977, 51726, 50879, 51545, 56567, 64053, 65326, 59164, 61927, 51278, 50866, 51329, 50865, 51219, 50977, 58706, 51044, 72783, 50884, 51659, 50858, 51726, 50879, 51545, 56567, 68951, 65326, 60345, 52671, 50859, 51796, 50865, 51326, 53347, 52523, 50863, 51729, 70629, 52091, 51717, 51701, 51717, 52736, 51717, 50799, 52671, 51016, 78687, 52166, 58168, 51422, 51265, 50830, 51350, 50830, 51350, 61955, 51069, 50910, 58787, 50863, 51265, 50878, 51350, 50959, 51350, 58798, 51789, 50893, 78687, 58706, 72646, 51265, 50952, 51350, 50940, 52459, 57748, 51789, 50948, 51069, 68276, 51916, 50835, 51265, 50955, 51350, 50959, 51350, 53402, 78687, 52166, 50820, 51780, 50858, 51265, 50952, 51350, 60204, 51069, 50910, 65984, 50863, 51265, 50942, 51350, 50878, 51350, 57415, 51789, 50893, 78687, 58706, 71719, 51265, 50940, 51350, 50940, 51355, 59465, 51069, 50910, 65984, 50863, 51265, 50878, 51350, 50878, 51350, 50897, 50799, 51789, 51175, 78687, 52166, 50820, 51265, 50940, 51350, 74171, 63817, 51069, 68276, 52223, 50829, 51265, 50955, 51350, 50959, 51350, 55640, 51789, 50879, 78687, 58706, 72646, 52459, 50859, 51265, 50940, 51350, 59099, 51789, 50879, 51069, 50910, 56278, 50863, 51265, 50955, 51350, 51008, 51350, 58927, 78687, 52166, 50834, 51265, 50940, 51350, 50830, 51780, 60835, 51069, 50910, 65984, 50863, 51265, 50878, 51350, 50955, 51350, 59881, 51789, 50948, 78687, 58706, 71719, 51265, 50940, 51350, 50952, 51355, 59465, 51789, 50948, 77943, 65157, 51329, 50893, 56278, 50863, 51265, 50897, 51350, 50830, 51350, 70629, 52582, 51717, 50799, 52083, 51016, 51213, 50830, 51473, 50943, 76106, 52166, 50820, 51990, 50808, 51729, 50812, 51729, 55587, 51213, 50910, 65984, 50863, 51729, 50874, 51990, 50955, 51729, 53244, 52671, 50967, 51213, 50830, 58706, 71719, 51990, 50830, 51729, 50940, 51355, 57748, 51213, 50910, 65984, 50863, 51990, 50878, 51729, 50955, 51729, 53402, 52671, 51238, 51213, 50830, 52166, 50834, 51781, 50858, 51990, 50940, 51729, 61897, 51213, 50910, 65984, 50863, 51990, 50955, 51729, 51008, 51729, 57415, 52671, 50879, 51213, 50830, 58706, 72646, 51990, 50940, 51729, 50940, 51659, 57830, 52671, 50967, 51213, 50910, 65984, 50863, 51990, 50925, 51729, 50955, 51729, 50897, 55194, 50830, 52166, 50820, 51990, 50952, 51729, 50910, 51729, 61955, 51213, 50910, 65984, 50863, 51990, 50942, 51729, 50955, 51729, 55640, 51213, 50830, 58706, 72646, 79884, 51990, 50940, 51729, 59099, 51213, 50910, 65984, 50863, 51990, 50942, 51729, 50942, 51729, 58927, 51213, 50830, 52166, 50820, 51990, 50830, 51729, 50952, 51781, 60835, 51213, 50910, 56278, 50863, 51990, 50942, 51729, 50955, 51729, 59881, 52671, 50893, 51213, 50830, 58706, 71719, 51990, 50940, 51729, 50830, 51659, 55764, 52671, 50924, 51019, 57882, 52291, 50870, 51990, 50910, 51729, 50830, 51729, 50952, 50461, 52091, 51717, 51701, 51717, 52736, 51717, 50799, 52671, 51016, 78687, 52166, 50834, 51265, 50830, 51350, 50925, 51350, 55587, 51069, 50910, 65984, 50863, 51265, 50952, 51350, 50830, 51350, 58798, 51789, 50924, 78687, 58706, 72646, 51265, 50878, 51350, 50959, 52459, 57748, 51069, 50910, 56278, 79273, 50921, 51350, 50830, 51350, 64543, 51789, 51173, 78687, 52166, 50834, 51780, 50858, 51265, 50942, 51350, 63959, 51069, 50910, 56278, 79273, 50952, 51350, 50952, 51350, 57415, 51789, 50879, 78687, 58706, 72646, 51265, 50942, 51350, 50878, 51355, 57830, 52083, 51013, 51069, 50910, 65984, 50863, 51265, 50952, 51350, 50897, 51350, 50940, 53285, 50830, 52166, 50820, 51265, 50897, 51350, 50878, 51350, 62714, 51789, 50879, 51069, 50910, 65984, 50863, 51265, 50830, 51350, 50897, 51350, 58798, 78687, 58706, 72646, 52459, 50859, 51265, 50925, 51350, 59780, 51069, 50910 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 1076, 560, 31365, 25999, 6, 8, 3459, 9590, 4, 20, 2125, 16, 11, 381, 3694, 6, 19, 10, 7212, 20889, 9, 1814, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 6711, 16, 10, 11739, 9, 26545, 6, 15073, 6, 11098, 6, 8, 657, 4, 20, 33215, 16739, 9, 211, 406, 6, 230, 119, 1176, 406, 6, 1918, 406, 6, 163, 119, 406, 6, 8, 230, 401, 3639, 7, 5, 2214, 18, 13363, 28191, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 51120, 73641, 51184, 50989, 51184, 50877, 51184, 51028, 51184, 50927, 61511, 51120, 50860, 50927, 55276, 51120, 51029, 50927, 68174, 51120, 50860, 58992, 58540, 50976, 51324, 73641, 51009, 50989, 51009, 50877, 51009, 51205, 51029, 50422, 50902, 50976, 50430, 50968, 60648, 51324, 50860, 51205, 55276, 50899, 51072, 50989, 51072, 50877, 51072, 51028, 51072, 51324, 51009, 51205, 51009, 60027, 70982, 68126, 51072, 50989, 73774, 50973, 50993, 57844, 50817, 51360, 51029, 51040, 51795, 50916, 51795, 50965, 51795, 51228, 61511, 51360, 50860, 51228, 55276, 51360, 51029, 51228, 68174, 51360, 52035, 50305, 52035, 50308, 52035, 50312, 79977, 50860, 72823, 57346, 51072, 50916, 51072, 50965, 51072, 50973, 51072, 51378, 51029, 51213, 51029, 61104, 51072, 50916, 51072, 50965, 64414, 51360, 50860, 51228, 55276, 51324, 51072, 50899, 51072, 50989, 51072, 50877, 51072, 51205, 63758, 51315, 51072, 50899, 51072, 50965, 51072, 50973, 51072, 51019, 51072, 54868, 73641, 51184, 50989, 51184, 50877, 51184, 51028, 51184, 50927, 61511, 51120, 50860, 50927, 55276, 51120, 51029, 50927, 68174, 51120, 50860, 58992, 58540, 50976, 51324, 73641, 51009, 50989, 51009, 50877, 51009, 51205, 51029, 50422, 50902, 50976, 50430, 50968, 60648, 51324, 50860, 51205, 55276, 50899, 51072, 50989, 51072, 50877, 51072, 51028, 51072, 51324, 51009, 51205, 51009, 60027, 70982, 68126, 51072, 50989, 73774, 50973, 50993, 57844, 50817, 51360, 51029, 51040, 51795, 50916, 51795, 50965, 51795, 51228, 61511, 51360, 50860, 51228, 55276, 51360, 51029, 51228, 68174, 51360, 52035, 50305, 52035, 50308, 52035, 50312, 79977, 50860, 72823, 57346, 51072, 50916, 51072, 50965, 51072, 50973, 51072, 51378, 51029, 51213, 51029, 61104, 51072, 50916, 51072, 50965, 64414, 51360, 50860, 51228, 55276, 51324, 51072, 50899, 51072, 50989, 51072, 50877, 51072, 51205, 63758, 51315, 51072, 50899, 51072, 50965, 51072, 50973, 51072, 51019, 51072, 54868, 72114, 51352, 50989, 51352, 50877, 51352, 51028, 51352, 50927, 56111, 51120, 50860, 50927, 54675, 51120, 50860, 50927, 54684, 51120, 50860, 50927, 55276, 51120, 50860, 50927, 56059, 51120, 50860, 50927, 54554, 51120, 52035, 50310, 65066, 52035, 50317, 50860, 50927, 55273, 51360, 52035, 50308, 52035, 50312, 79977, 50860, 72823, 58066, 51072, 50899, 51072, 50989, 51072, 50877, 51072, 51205, 66489, 51028, 52035, 50310, 51407, 51315, 51352, 50899, 51352, 51019, 66613, 50973, 55276, 50877, 51072, 59758, 58615, 50989, 50975, 55547, 51029, 51040, 54217, 50916, 54217, 51069, 61511, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 68174, 51279, 50860, 72035, 55547, 51029, 51069, 61511, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 58166, 52035, 50308, 55273, 59441, 51184, 51279, 65066, 51184, 51028, 51184, 72035, 55547, 51029, 51069, 51029, 61104, 61222, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 51040, 64531, 58166, 52035, 50289, 52035, 50308, 50860, 72035, 50799, 54833, 67890, 72114, 51072, 51279, 51029, 51069, 58823, 54833, 67890, 54675, 56293, 65066, 67890, 64414, 56293, 52035, 50289, 65066, 50860, 51069, 55276, 57065, 51029, 51279, 51029, 50968, 51029, 50871, 51009, 50877, 51009, 51069, 68174, 55910, 52035, 50289, 70105, 50860, 72035, 50799, 59441, 51795, 51279, 51029, 50877, 51795, 51028, 51795, 51069, 51029, 61104, 61222, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 51040, 64531, 58166, 52035, 50289, 52035, 50308, 50860, 72035, 50799, 54833, 67890, 72114, 51072, 51279, 51029, 51069, 58823, 54833, 67890, 54675, 56293, 65066, 67890, 64414, 56293, 52035, 50289, 65066, 50860, 51069, 55276, 57065, 51029, 51279, 51029, 50968, 51029, 50871, 51009, 50877, 51009, 51069, 68174, 55910, 52035, 50289, 70105, 50860, 72035, 50799, 59441, 51352, 51279, 51029, 50916, 51352, 50877, 51352, 51028, 51352, 51069, 61511, 51279, 50860, 51069, 55276, 51279, 51029, 51069, 65027, 59441, 52035, 50317, 55273, 60985, 51795, 51279, 52035, 50305, 51795, 50916, 51795, 50965, 51795, 50973, 51795, 72035, 62368, 51029, 53344, 61511, 51966, 50860, 53344, 55276, 51966, 51029, 53344, 65027, 59441, 52035, 50317, 55273, 60985, 51795, 51966, 52035, 50307, 51795, 50989, 51795, 50877, 51795, 50973, 51795, 53344, 50860, 58066, 51029, 51205, 61511, 51324, 50860, 51205, 55276, 51324, 51029, 51205, 65027, 61092, 52035, 50310, 55273, 60985, 51184, 51324, 52035, 50310, 52442, 50877, 52442, 50899, 52442, 50973, 52442, 78152, 57551, 51029, 51019, 61511, 51315, 50860, 51019, 55276, 51315, 51072, 51019, 63758, 51324, 51072, 51205, 51072, 60963, 50976, 50916, 51072, 50965, 51072, 54387, 63853, 51324, 50976, 51205, 58595, 51315, 50824, 51019, 53663, 51643, 51072, 51120, 50976, 50871, 51072, 50877, 51072, 77550, 50927, 60815, 51050, 50976, 50945, 58317, 51633, 51072, 50916, 51072, 50973, 51072, 50902, 51072, 51026, 62455, 50824, 70733, 51795, 51085, 69166, 51795, 50876, 51795, 50968, 51795, 50964, 51029, 56248, 61222, 51085, 50860, 50964, 55276, 51085, 51029, 50964, 51029, 59758, 64531, 51652, 52035, 50292, 66831, 50860, 60418, 50799, 52185, 52035, 50312, 67890, 51072, 51085, 51029, 50964, 58823, 52185, 52035, 50312, 54675, 51643, 61818, 52035, 50312, 64414, 51643, 52035, 50292, 61818, 50860, 50964, 55276, 52372, 51029, 51085, 51029, 50951, 51029, 50965, 51009, 50876, 51009, 50964, 68174, 51993, 52035, 50292, 72712, 50860, 60418, 70733, 51795, 51085, 51029, 50916, 51009, 50861, 51795, 50876, 51795, 50968, 51795, 50964, 61511, 51085, 50860, 50964, 55276, 50916, 51072, 51085, 51029, 50964, 68174, 51652, 52035, 50292, 66831, 50860, 60418, 50799, 52185, 52035, 50312, 67890, 51072, 51085, 51029, 50964, 58823, 52185, 52035, 50312, 54675, 51643, 61818, 52035, 50312, 64414, 51643, 52035, 50292, 61818, 50860, 50964, 55276, 52372, 51029, 51085, 51029, 50951, 51029, 50876, 51300, 50965, 51009, 50964, 68174, 51993, 50823, 69593, 51085, 50860, 50964, 60271, 51643, 58676, 50811, 70733, 51795, 50876, 50817, 51085, 51029, 50916, 51009, 50861, 51795, 50968, 51795, 50964, 61511, 51085, 50860, 50964, 55276, 50916, 51072, 51085, 51029, 50964, 68174, 51652, 52035, 50292, 66831, 50860, 60418, 50799, 52185, 52035, 50312, 67890, 51072, 51085, 51029, 50964, 58823, 52185, 52035, 50312, 54675, 51643, 61818, 52035, 50312, 64414, 51643, 52035, 50292, 61818, 50860, 50964, 55276, 52372, 51029, 51085, 51029, 50951, 51029, 50876, 51300, 50965, 51009, 50964, 68174, 51993, 50823, 69593, 51085, 50860, 50964, 60271, 51643, 58676, 50811, 70733, 51184, 50876, 50817, 51085, 69166, 51184, 50968, 51184, 50964, 61511, 51085, 50860, 50964, 55276, 51085, 51029, 50964, 68174, 51085, 50860, 60418, 53997, 51029, 50964, 51029, 56248, 51407, 50432, 51085, 50860, 50964, 55276, 51085, 50860, 50964, 56059, 51652, 52035, 50292, 66831, 50860, 50964, 54554, 51652, 52035, 50294, 66831, 50860, 50927, 55273, 51652, 51184, 51315, 51009, 51086, 51184, 50899, 51184, 50861, 51184, 51019, 51009, 66243, 51315, 50860, 51019, 55276, 51315, 51029, 51019, 68174, 51315, 50860, 63167, 73935, 66831, 52035, 50289, 51029, 50900, 51029, 51069, 58823, 51667, 65066, 54675, 52135, 79977, 54684, 51633, 51072, 51279, 70105, 51072, 50916, 69166, 51029, 51069, 55276, 51279, 51072, 51069, 63757, 51643, 61818, 54554, 52376, 52035, 50308, 50817, 51085, 52035, 50308, 50860 ]

[ 0, 250, 2635, 12, 20764, 3495, 2214, 19, 10, 11602, 9, 15073, 6, 4246, 10, 13305, 6, 32909, 6, 326, 5638, 18026, 6, 8, 17465, 102, 4, 20, 33301, 7630, 6568, 10, 3344, 9, 8597, 6, 31, 11098, 7, 657, 6, 8, 34, 10, 25306, 1318, 4, 23973, 11, 5, 762, 9, 381, 3694, 19, 10, 112, 73, 306, 86, 6543, 6, 5, 2214, 29769, 198, 5, 40286, 3676, 8, 163, 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 ]

[ 52552, 50624, 52274, 52274, 52274, 52552, 50861, 55689, 50876, 50901, 53997, 65064, 51364, 56978, 56307, 51315, 54342, 50902, 52014, 50299, 56298, 51085, 58363, 53218, 51026, 56697, 50902, 51828, 50296, 54509, 50968, 52014, 50299, 50974, 54197, 61913, 51013, 53502, 56307, 51027, 60236, 61915, 51013, 56014, 56298, 51085, 62430, 51103, 50861, 51356, 55513, 56697, 51086, 54509, 50900, 50974, 56310, 60045, 68547, 51013, 56207, 51828, 50297, 75055, 61849, 57421, 50902, 57581, 50916, 73797, 51828, 50299, 51183, 55989, 68839, 50938, 55895, 66388, 55037, 50899, 68839, 50938, 54960, 65185, 60817, 50914, 55902, 50938, 56248, 54725, 50861, 57581, 50916, 55700, 50861, 57415, 55062, 63254, 55037, 53250, 64294, 50938, 79922, 51343, 51085, 50943, 56440, 50938, 54439, 65090, 54729, 53077, 73022, 57581, 53250, 65815, 51003, 58365, 57415, 53077, 57253, 73724, 79541, 59827, 53771, 64294, 50938, 78857, 51290, 51027, 50943, 57340, 56412, 54812, 60594, 71998, 54729, 50877, 57581, 55062, 51336, 50900, 51183, 58365, 57415, 50876, 73724, 55416, 50861, 50938, 77275, 51290, 51315, 51047, 50916, 51103, 55902, 56412, 54985, 58733, 73724, 54729, 53863, 57704, 57581, 53771, 51073, 51085, 51145, 50900, 51103, 58365, 57415, 53250, 60594, 73724, 55416, 50861, 50805, 77275, 51933, 51026, 58532, 66154, 61471, 61649, 51085, 65327, 60763, 68547, 64919, 51315, 54014, 50861, 61622, 59374, 67860, 51003, 58365, 55125, 50861, 55345, 50861, 50901, 50799, 55062, 51290, 51214, 69836, 55973, 54812, 67047, 61581, 64919, 56213, 58818, 53250, 51073, 51279, 75055, 55441, 56213, 60867, 65788, 63505, 54812, 50938, 78857, 51290, 51799, 51741, 50294, 55973, 53771, 67734, 51828, 50285, 51911, 50297, 60015, 53182, 53077, 67922, 57581, 54985, 51336, 51279, 51145, 51027, 51103, 50916, 51103, 77736, 50876, 51336, 79922, 51290, 51279, 75055, 55973, 53077, 73022, 61915, 60763, 64919, 53250, 58818, 56213, 51073, 51120, 61849, 61581, 71449, 58833, 54812, 51073, 51197, 66533, 65593, 61915, 51013, 79922, 51356, 50965, 51238, 51315, 60817, 50914, 50423, 50968, 52450, 51001, 53847, 50968, 52559, 51147, 53263, 51114, 53574, 50968, 55700, 50916, 52596, 50916, 51923, 50916, 50938, 50799, 60293, 51290, 52832, 51159, 53880, 51159, 56293, 51800, 50289, 51145, 51027, 69027, 54812, 50924, 52376, 50892, 52394, 50937, 56293, 62929, 65788, 61915, 53182, 56213, 50924, 52376, 50892, 52491, 50937, 58166, 58020, 53250, 51073, 51667, 51056, 52394, 51056, 59931, 51734, 50289, 51145, 51027, 66563, 56213, 50879, 52376, 50892, 54727, 50873, 59931, 61567, 65788, 61915, 63505, 54812, 50938, 52376, 51058, 52394, 50866, 59931, 51058, 79922, 51290, 52185, 51159, 52228, 51159, 58166, 51800, 50296, 51047, 50916, 69027, 53077, 51073, 52135, 51056, 52656, 51056, 58166, 60556, 71449, 64424, 60315, 53250, 51364, 51667, 51218, 52172, 51218, 59931, 51218, 51279, 51145, 51027, 51103, 59758, 61915, 60763, 63505, 53771, 50924, 51643, 50873, 52172, 50937, 56293, 50873, 50799, 54985, 51290, 51643, 50914, 52491, 51159, 56293, 51800, 50289, 51145, 51027, 69027, 53771, 51073, 51643, 51056, 52172, 51056, 56293, 74669, 61915, 60763, 60315, 56853, 51073, 51633, 51056, 52491, 50943, 58166, 51734, 50284, 51145, 51315, 66563, 54985, 51238, 51643, 51221, 52491, 51221, 58166, 74669, 63403, 71449, 64424, 51013, 50459, 59930, 50840, 52135, 50813, 51978, 50813, 50799, 54985, 51356, 51643, 51103, 52491, 51103, 56293, 51103, 51279, 75055, 65788, 74114, 51077, 50876, 51356, 50426, 51315, 56509, 51279, 57197, 54985, 51238, 52113, 51221, 52380, 51221, 56293, 50943, 50459, 59930, 50840, 51633, 50813, 53319, 50813, 50799, 57518, 51290, 52113, 51159, 52172, 51159, 56293, 51800, 50289, 75055, 55973, 59930, 50879, 51993, 50873, 51978, 50873, 56293, 74669, 61915, 60763, 64919, 54985, 50938, 52113, 50866, 52491, 54014, 59930, 51073, 51633, 51056, 52656, 51056, 58166, 51734, 50284, 51741, 50296, 55441, 54985, 50879, 52113, 50873, 52172, 50873, 58166, 74669, 71449, 64424, 63505, 56853, 50938, 51633, 50866, 53319, 50866, 50799, 54985, 51290, 51993, 51159, 52380, 51159, 54833, 51159, 51247, 78494, 61581, 59460, 58835, 61649, 54812, 50879, 51652, 51056, 52491, 51056, 58166, 51056, 51841, 51911, 50296, 58532, 61915, 75202, 64919, 55343, 57581, 53077, 51073, 51667, 51056, 51978, 51056, 56167, 51056, 51799, 51911, 50294, 61581, 61915, 64424, 58833, 53771, 51073, 51643, 51056, 51979, 51056, 56187, 51056, 51214, 51911, 50299, 58532, 60597, 68547, 51013, 50799, 54812, 50948, 51831, 50917, 52228, 50917, 56167, 74911, 60241, 74114, 51077, 50902, 51356, 50420, 53077, 51364, 51667, 51218, 51978, 51218, 56167, 51218, 60643, 58672, 51120, 54014, 53250, 51073, 51667, 51056, 52491, 51056, 56293, 51056, 51315, 65480, 61915, 60763, 58833, 56213, 51073, 52185, 51056, 52228, 51056, 58166, 51056, 51841, 51911, 50296, 62649, 63403, 71449, 51013, 50799, 54812, 51933, 52376, 51518, 52394, 51518, 59931, 51518, 51279, 75055, 69970, 51077, 50916, 74114, 51356, 50426, 51841, 51911, 50296, 56389, 51279, 51003, 56222, 55037, 50876, 50938, 53997, 65064, 51364, 56978, 56307, 51315, 54342, 50902, 52014, 50299, 56298, 51085, 58363, 53218, 51026, 56697, 50902, 51828, 50296, 54509, 50968, 52014, 50299, 50974, 54197, 61913, 51013, 53502, 56307, 51027, 60236, 61915, 51013, 56014, 56298, 51085, 62430, 51103, 50861, 51356, 55513, 56697, 51086, 54509, 50900, 50974, 56310, 60045, 68547, 51013, 56207, 51828, 50297, 75055, 61849, 57421, 50902, 57581, 50916, 73797, 51828, 50299, 51183, 55989, 68839, 50938, 55895, 66388, 55037, 50899, 68839, 50938, 54960, 65185, 60817, 50914, 55902, 50938, 56248, 54725, 50861, 57581, 50916, 55700, 50861, 57415, 52039, 63254, 55037, 51431, 64294, 50938, 67659, 51343, 51085, 50943, 56440, 50938, 54439, 65090, 54729, 51485, 73022, 57581, 51431, 65815, 51003, 58365, 57415, 51485, 57253, 73724, 79541, 59827, 51744, 64294, 50938, 64996, 51290, 51027, 50943, 57340, 56412, 51898, 60594, 71998, 54729, 50877, 57581, 52039, 51336, 50900, 51183, 58365, 57415, 50876, 73724, 55416, 50861, 50938, 65578, 51290, 51315, 51047, 50916, 51103, 55902, 56412, 52067, 58733, 73724, 54729, 51579, 57704, 57581, 51744, 51073, 51085, 51145, 50900, 51103, 58365, 57415, 51431, 60594, 73724, 55416, 50861, 50805, 65578, 51933, 51026, 58532, 66154, 61471, 61649, 51085, 65327, 60763, 68547, 64919, 51315, 54014, 50861, 61622, 59374, 67860, 51003, 58365, 55125, 50861, 55345, 50861, 50901, 75315, 51290, 51214, 69836, 55973, 51898, 67047, 61581, 64919, 52298, 58818, 51431, 51073, 51279, 75055, 55441, 52298, 60867, 65788, 63505, 51898, 50938, 64996, 51290, 51799, 51741, 50294, 55973, 51744, 67734, 51828, 50285, 51911, 50297, 60015, 53182, 51485, 67922, 57581, 52067, 51336, 51279, 51145, 51027, 51103, 50916, 51103, 77736, 50876, 51336, 67659, 51290, 51279, 75055, 55973, 51485, 73022, 61915, 60763, 64919, 51431, 58818, 52298, 51073, 51120, 61849, 61581, 71449, 58833, 51898, 51073, 51197, 66533, 65593, 61915, 51013, 67659, 51356, 50965, 51238, 51315, 60817, 50914, 50423, 50968, 52450, 51001, 53847, 50968, 52559, 51147, 53263, 51114, 53574, 50968, 55700, 50916, 52596, 50916, 51923, 50916, 50938, 50799, 54595, 51159, 53808, 51290, 53093, 51159, 55679, 51800, 50289, 51145, 51027, 69027, 51898, 50924, 53808, 50892, 51947 ]

[ 0, 713, 8787, 5175, 25771, 2125, 6, 278, 11, 10, 316, 73, 398, 86, 6543, 8, 10, 16906, 352, 178, 5285, 20889, 6, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 36474, 13005, 4, 20, 13305, 8, 3459, 13305, 35810, 15352, 30054, 2301, 6, 14156, 19601, 30, 5, 32625, 23225, 9, 5, 2370, 21305, 8, 1515, 21305, 6, 150, 5, 31391, 1672, 9590, 1639, 10, 12405, 4811, 4, 590, 5, 12577, 2772, 9, 230, 8, 1918, 406, 40286, 6, 5, 15229, 19101, 5, 30443, 88, 10, 3366, 3341, 8, 5679, 26709, 194, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 53261, 50625, 53261, 64822, 51090, 57033, 51496, 50438, 64822, 51016, 58456, 51343, 50450, 57624, 51159, 53124, 51159, 50453, 52182, 51754, 52155, 52567, 52315, 57614, 51752, 51675, 50462, 59333, 50807, 73344, 50807, 52155, 51675, 50474, 60017, 50806, 50480, 57033, 50806, 50486, 59333, 51090, 57057, 51090, 50498, 58273, 51090, 51596, 50889, 50509, 51752, 51675, 50510, 64822, 51090, 57033, 51090, 52315, 51675, 50528, 58456, 50911, 50534, 64822, 51054, 57033, 51054, 50546, 57624, 51159, 53124, 51159, 50557, 51752, 51675, 53261, 59333, 51090, 58273, 52282, 52155, 51675, 50426, 57033, 63418, 59333, 51054, 57057, 51054, 60017, 64466, 60017, 50923, 57624, 50914, 53124, 73559, 52182, 51754, 52155, 52567, 52315, 57614, 51752, 51790, 50462, 57033, 51054, 52315, 51790, 50474, 59333, 51090, 58456, 51090, 50486, 64822, 51237, 73344, 51237, 50498, 60017, 51237, 51596, 51267, 50504, 57033, 50879, 50509, 51752, 51675, 50510, 59333, 51237, 58273, 51761, 52155, 51675, 50534, 59333, 51237, 57057, 51237, 50546, 60017, 51090, 52315, 50914, 51596, 50914, 50557, 51752, 51675, 53261, 64822, 51054, 57033, 51054, 52315, 51675, 50438, 64822, 51054, 57033, 61860, 57624, 50914, 52182, 50914, 50462, 59333, 51237, 58273, 52379, 53124, 52821, 51752, 52821, 50510, 52092, 51336, 52627, 51009, 51132, 54217, 51154, 51732, 54064, 51184, 52072, 51655, 50534, 52158, 50824, 52627, 50824, 53261, 51959, 50918, 52569, 51009, 55500, 52379, 51716, 56039, 51890, 51237, 51959, 50824, 51716, 56811, 51338, 51054, 50462, 52092, 51336, 52627, 51009, 51132, 52442, 54064, 51184, 52009, 51655, 50486, 52158, 50824, 52627, 50824, 51093, 52379, 51304, 52379, 51752, 52379, 50498, 52092, 50807, 50510, 51959, 50983, 52569, 51029, 51883, 51184, 55500, 51184, 51716, 51036, 50522, 51338, 51870, 50534, 51890, 50802, 51959, 51029, 51284, 51551, 52487, 51551, 51686, 51551, 53051, 51551, 50546, 51890, 50805, 52930, 50923, 51137, 51054, 53261, 52092, 51336, 52627, 51009, 51132, 54430, 51638, 51184, 51926, 52017, 51565, 52017, 51821, 51336, 52471, 52017, 50438, 52158, 50824, 52627, 62104, 52072, 51291, 50450, 52092, 50889, 50461, 51716, 51036, 50462, 51959, 50983, 52569, 51029, 51201, 51696, 51690, 51696, 51606, 51655, 55500, 51184, 50486, 51890, 50824, 51959, 50824, 50508, 51959, 50800, 50510, 51771, 51352, 52577, 51352, 51181, 51352, 51699, 53435, 51266, 52017, 51733, 52017, 51789, 52017, 52091, 51184, 51716, 51655, 50546, 51132, 50807, 50556, 52577, 50859, 53261, 51890, 51352, 52092, 51352, 51338, 51184, 51887, 53601, 51251, 51184, 51384, 52017, 51596, 52017, 52072, 51036, 52009, 52017, 50450, 51816, 55416, 52158, 75320, 51890, 51732, 51959, 51732, 58154, 53501, 51299, 54430, 51304, 57676, 53124, 56736, 51752, 57676, 51821, 51492, 51701, 51492, 51716, 57676, 50546, 58267, 51013, 53261, 53795, 56082, 52114, 57676, 52003, 57676, 51890, 57676, 64822, 51090, 51181, 52737, 53722, 52737, 52806, 59939, 51774, 54217, 51614, 54217, 51515, 54217, 56541, 61649, 57673, 50896, 56541, 74814, 59333, 58833, 64822, 50893, 56541, 51013, 50462, 59333, 50807, 56334, 51356, 50474, 62760, 50806, 50486, 59333, 51090, 57057, 51090, 58267, 51016, 50498, 62760, 50911, 51181, 50807, 56620, 54454, 50510, 53362, 56736, 52114, 56736, 51890, 56736, 51959, 56736, 64822, 51090, 51132, 51732, 53369, 57676, 52806, 59939, 51774, 54217, 51515, 54217, 50522, 57673, 50911, 50534, 59333, 51054, 50546, 64822, 50911, 53261, 59333, 51090, 58273, 52282, 50426, 62760, 56810, 59333, 51054, 57057, 61860, 62760, 51054, 56620, 55416, 56620, 50879, 50462, 53795, 52208, 52114, 58690, 52003, 58690, 51890, 58690, 57673, 51054, 51181, 52737, 53722, 51184, 52806, 59939, 51774, 54217, 51614, 54217, 51515, 58690, 56541, 51016, 50474, 59333, 51090, 56541, 51013, 50486, 64822, 51237, 56334, 51016, 50498, 57673, 50879, 56541, 51013, 50510, 59333, 51237, 56226, 51356, 50522, 62760, 50923, 50534, 59333, 51237, 57057, 51237, 50546, 62760, 50911, 51181, 50807, 56620, 50879, 50552, 56620, 50879, 53261, 53362, 52369, 52114, 52369, 51890, 52369, 51959, 52369, 64822, 51054, 57033, 51054, 51132, 51732, 53369, 53174, 52806, 51352, 51774, 51352, 51515, 51352, 56303, 61649, 57673, 50911, 56226, 54729, 56303, 60315, 64822, 51054, 57033, 60969, 56226, 51798, 57673, 50923, 56303, 55416, 56226, 50893, 50462, 59333, 51237, 58273, 52379, 56541, 51356, 50474, 62760, 53174, 50486, 52114, 51029, 51816, 51029, 51774, 50824, 51440, 50824, 50498, 56620, 50879, 50504, 56620, 50879, 50510, 52003, 51407, 52158, 51407, 51137, 51184, 51614, 51407, 51773, 51407, 52016, 51991, 60529, 51016, 50511, 52072, 52392, 50522, 60529, 51013, 50534, 60529, 51016, 50546, 51137, 51237, 56303, 51336, 50557, 51716, 51036, 53261, 52114, 52369, 51816, 52369, 51349, 51184, 51774, 51352, 51440, 61874, 56226, 60315, 56541, 58833, 56226, 51336, 50462, 52951, 51551, 51771, 51551, 51526, 51184, 52557, 51009, 51434, 51009, 51821, 51264, 52009, 51655, 50474, 56588, 51013, 50486, 56334, 51016, 50498, 56620, 51933, 50510, 52951, 51352, 51890, 51761, 51771, 52369, 51416, 51184, 52557, 51352, 51515, 51761, 51434, 52369, 51716, 50918, 50534, 52114, 51552, 51660, 51054, 53261, 52003, 51352, 52158, 51352, 51137, 51795, 51614, 51352, 51773, 51352, 52016, 51264, 52072, 51655, 60529, 61649, 56303, 60315, 60529, 58833, 51137, 51237, 56303, 51364, 50462, 52114, 51941, 51816, 51941, 51349, 51184, 51774, 51352, 51440, 51352, 51716, 51036, 50468, 56226, 64095, 56541, 51013, 50498, 56334, 51013, 50510, 52951, 51407, 51771, 51407, 51526, 51184, 52557, 51407, 51434, 51407, 51821, 51264, 52009, 51655, 56541, 51362, 50526, 56226, 51294, 50542, 56303, 51091, 53261, 52951, 51407, 51890, 51870, 51771, 51870, 51416, 51184, 52557, 51407, 51515, 51870, 51434, 51870, 51716, 50918, 56226, 74123, 52126, 50923, 51660, 56827, 56541, 55416, 56588, 50879, 50462, 53359, 51407, 51890, 51407, 51181, 51184, 52806, 51407, 51515, 51407, 51821, 51264, 51701, 51655, 56334, 51362, 50478, 56588, 51294, 50494, 56541, 51091, 50510, 52951, 51407, 51771, 51407, 51374, 51184, 52557, 51407, 51434, 51407, 52072, 51036, 56226, 51941, 50546, 56303, 50879, 50552, 60529, 50879, 53261, 52114, 50802, 51816, 50802, 51132, 51184, 51774, 50802, 51440, 50802, 51821, 52024, 51716, 53002, 58485, 74123, 51959, 51090, 51607, 51012, 56303, 58833, 51816, 50807, 51440, 50795, 56541, 51013, 50462, 52114, 57676, 51890, 57676, 51181, 51732, 51774, 54217, 51614, 54217, 51515, 54217, 56334, 51356, 50510, 56541, 51941, 50546, 56588, 51013, 53261, 52003, 53501, 51890, 52570, 62760, 51054, 51338, 52737, 51774, 52570, 51614, 53501, 51515, 52570, 56334, 61649, 57673, 50911, 56620, 55214, 56620, 74123, 64822, 61860, 57673, 50923, 50462, 57057, 52208, 58273, 52208, 50498, 51338, 50807, 50504, 56620, 50893, 50510, 52158, 51009, 52569, 51870, 51132, 51732, 51773, 51009, 52257, 51870, 51716, 50918, 60529, 50893, 50516, 60529, 50893, 50522, 60529, 51356, 50534, 52158, 51870, 52627, 51870, 51773, 51870, 52257, 51870, 51716, 50918, 50546, 51890, 50889, 56303, 51016, 50552, 56226, 50865, 53261, 51816, 51870, 52569, 51527, 51440, 51870, 52327, 51527, 51821, 50918, 56541, 74123, 51890, 51551, 51959, 51870, 51515, 51551, 51607, 51870, 51678, 56811, 51338, 51237, 56620, 55764, 56620, 50893, 50462 ]

[ 0, 250, 15352, 30054, 11057, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 31391, 1672, 9590, 6, 21979, 8669, 6, 6755, 12547, 6, 8, 21072, 4, 85, 18, 278, 11, 5, 762, 9, 211, 538, 19, 10, 1769, 20889, 9, 9680, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 381, 406, 6, 163, 43531, 401, 6, 8, 83, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 53053, 51218, 51410, 75489, 52097, 52052, 52097, 50801, 55023, 61531, 71622, 50420, 51414, 52407, 50960, 51391, 51064, 51134, 51190, 52492, 50426, 51457, 51333, 71005, 50432, 51684, 50854, 51981, 51423, 65069, 78516, 57080, 51141, 50899, 52097, 51146, 52097, 59638, 51064, 50892, 70718, 50444, 51410, 50933, 51414, 51174, 51457, 50959, 51981, 51058, 51190, 52492, 50450, 72203, 68424, 50903, 78622, 50456, 51602, 53959, 67308, 52894, 51351, 52303, 52335, 51231, 52335, 51457, 52335, 50861, 52311, 51487, 52311, 70718, 57761, 51680, 51190, 52492, 50426, 51064, 50972, 50903, 78622, 77901, 50833, 51067, 61725, 67308, 57097, 51295, 70718, 50444, 50906, 51603, 52052, 51603, 51064, 51309, 50903, 78516, 50450, 50929, 51003, 71005, 50456, 51132, 50925, 50877, 52311, 51814, 52311, 50960, 55056, 67308, 54281, 51218, 51231, 51277, 51131, 51675, 50801, 55023, 60322, 52127, 50420, 52109, 52335, 51317, 52168, 51190, 52492, 50426, 51818, 52222, 50998, 51244, 71005, 50432, 52474, 51127, 52287, 51939, 50929, 51218, 65069, 78516, 59419, 52097, 51430, 52097, 70718, 50444, 75005, 51742, 51190, 52492, 50450, 51131, 51397, 50903, 78622, 50456, 51374, 50892, 51317, 51174, 71590, 50929, 66667, 67308, 54281, 51295, 50861, 52311, 51487, 52311, 70718, 50420, 51410, 50978, 51651, 50978, 51414, 50978, 51825, 50978, 51317, 51108, 70700, 50929, 51097, 51190, 52492, 50426, 52102, 51047, 51231, 51047, 51249, 51047, 51818, 51047, 50903, 78622, 50432, 52474, 50808, 51131, 51534, 50801, 67308, 63706, 51003, 51317, 50972, 66286, 63434, 70718, 67964, 51603, 51814, 51603, 51131, 51824, 50903, 78516, 50450, 51374, 50873, 51317, 51058, 68242, 63434, 71005, 50456, 50906, 52311, 52052, 52311, 66871, 56159, 54293, 50943, 51476, 52335, 51719, 52335, 51414, 52335, 51980, 52335, 80254, 51078, 55937, 55023, 60322, 52127, 51039, 56159, 50426, 68103, 78465, 71005, 50432, 51533, 50901, 65069, 78516, 55511, 51295, 50956, 52097, 51405, 52097, 70718, 50444, 70437, 51078, 56015, 56159, 51955, 78622, 50456, 51533, 59597, 67308, 53447, 51351, 51476, 52335, 51719, 53142, 51249, 52222, 51818, 52062, 50989, 52097, 51787, 52097, 51078, 50873, 80254, 70718, 51039, 56159, 51768, 78622, 50427, 63896, 51078, 53308, 51181, 53530, 67308, 59501, 51295, 70718, 50444, 50906, 51603, 52052, 51603, 50903, 78516, 50445, 51078, 50873, 50986, 56697, 51190, 55801, 61247, 50456, 51181, 50925, 50877, 53531, 50337, 71055, 67308, 53053, 51218, 51303, 51080, 51064, 50873, 50970, 65178, 55023, 60322, 52127, 50420, 51414, 52407, 50861, 51603, 51487, 51603, 51190, 52492, 50426, 51457, 51333, 71005, 50427, 63960, 51064, 53308, 51684, 50854, 51981, 51423, 50906, 51573, 52052, 51573, 65069, 78516, 57080, 51218, 70718, 50444, 51303, 50933, 51414, 51174, 51457, 50959, 51981, 51058, 51190, 52492, 50445, 51064, 50873, 71658, 78933, 51354, 51814, 51354, 51955, 78622, 75312, 51354, 51487, 76999, 51137, 54109, 67308, 55609, 51218, 51476, 79193, 52208, 51146, 52208, 51078, 50873, 80254, 70718, 50420, 51719, 52407, 51190, 52492, 50426, 51651, 51333, 50903, 78622, 50427, 63896, 51078, 53308, 52585, 50854, 51980, 51423, 50801, 55629, 58290, 59210, 63370, 51141, 70718, 50444, 51476, 50933, 51719, 51174, 51651, 50959, 51980, 51058, 50903, 78516, 50445, 51078, 50873, 50986, 56697, 51190, 55801, 61247, 50456, 51602, 53959, 67308, 53053, 51241, 52303, 52335, 51303, 52335, 51231, 52335, 51457, 52335, 50906, 52097, 52052, 52097, 51064, 50873, 50970, 65178, 55023, 60322, 52127, 51039, 56159, 50426, 71005, 50427, 63960, 51064, 53308, 51137, 50977, 65069, 78516, 57080, 51295, 50899, 52097, 51146, 52097, 70718, 56960, 56159, 50445, 51064, 50873, 71658, 51955, 78622, 50456, 51137, 52218, 67308, 53053, 51417, 52303, 52335, 51465, 52335, 51231, 52335, 51457, 52335, 50916, 52311, 51430, 52311, 70718, 50420, 50998, 51391, 51064, 51134, 51190, 52492, 51768, 78622, 50432, 51684, 55955, 55629, 58290, 59210, 57080, 51562, 65026, 51064, 50892, 70718, 58365, 51603, 51487, 51603, 50903, 78516, 50450, 50998, 51006, 68424, 71005, 50456, 51137, 57911, 52097, 51339, 52097, 50801, 55629, 55801, 59210, 53447, 51218, 51476, 52518, 51303, 52518, 51249, 52518, 51457, 52518, 51131, 51675, 50801, 55023, 60322, 52127, 60434, 52168, 51190, 52492, 65404, 51244, 71005, 50432, 51349, 51127, 51476, 53233, 51303, 53233, 51249, 53233, 51457, 53233, 50877, 52311, 51814, 52311, 50970, 51218, 65069, 78516, 75282, 56095, 50444, 51444, 51742, 50852, 56159, 50450, 51131, 51397, 50903, 78622, 50456, 51844, 50892, 50986, 51174, 72810, 50970, 66667, 67308, 53447, 51295, 70718, 60434, 51108, 69432, 71932, 51190, 52492, 56207, 52362, 50337, 72633, 78622, 50432, 51349, 70978, 53531, 50335, 51054, 51131, 51534, 50801, 67308, 54585, 51003, 62590, 62151, 71658, 70718, 57428, 51603, 51339, 51603, 51131, 51824, 50903, 78516, 50450, 51844, 50873, 50986, 51058, 63880, 71658, 51190, 55801, 61247, 50456, 50871, 52097, 51339, 52097, 50801, 55629, 55801, 59210, 54293, 51218, 51476, 53478, 51687, 53478, 51231, 53478, 51414, 53478, 50986, 51058, 50929, 51481, 50801, 55023, 60322, 52127, 51039, 56159, 50426, 50986, 50978, 57662, 71005, 50432, 51526, 51103, 50956, 52311, 51405, 52311, 65069, 78516, 75282, 56095, 50444, 52562, 51328, 51190, 52492, 50450, 51246, 51242, 50903, 78622, 50456, 52993, 61774, 67308, 50457, 50986, 51242, 50929, 51233, 51755, 51049, 56095, 50420, 52562, 50905, 51190, 52492, 60564, 52362, 50338, 50923, 51246, 51328, 50903, 78622, 50432, 51526, 61915, 53531, 50337, 51054, 50986, 51199, 50929, 51253, 50801, 67308, 75282, 56095, 50444, 52585, 51100, 51476, 62543, 51603, 51487, 51603, 52562, 59355, 78516, 50450, 51526, 50838, 51231, 50974, 51246, 50851, 50986, 51328, 50929, 51481, 71005, 50453, 51414, 70347, 51533, 50878, 51980, 50959, 50861, 53531, 50335, 71055, 67308, 53447, 51351, 51476, 52335, 51719, 53142, 51249, 52222, 51457, 52062, 50801, 55023, 60322, 52127, 69724, 51603, 51787, 51603, 50986, 51391, 51078, 51134, 51190, 52492, 50426, 71005, 51532, 52658, 51181, 50833, 50877, 51603, 51814, 51603, 65069, 78516, 59501, 51295, 62770, 74893, 70718, 50444, 50989, 51603, 51787, 51603, 50852, 56159, 50450, 68103, 51078, 70571, 78622, 50456, 51181, 50925, 50956, 52208, 51405, 52208, 50801, 67308, 53447, 50943, 51476, 51080, 70718, 50420, 51719, 52407, 50986, 51680, 51190, 52492, 50426, 51249, 51333, 51078, 50972, 50903, 78622, 50432, 51181, 50901, 51818, 51423, 50947, 61725, 67308, 54585, 51295, 70718, 50444, 51476, 50933, 51719, 51174, 51249, 50959, 51818, 51058, 51078, 51309, 50903, 78516, 50450, 50998, 51003, 71005, 50456, 51181, 50897, 50986, 55056, 55629, 55801, 59210, 53053, 51417, 51410, 75489, 52097, 52052, 52097, 63557, 51064, 55937, 55023, 60322, 52127, 50420, 51414, 52407, 51190, 52492, 50426, 51457, 51333, 72203, 51064, 50905, 71005, 50432, 51684, 50865, 51981, 51423, 65069, 78516, 57080, 51562, 50899, 52097, 51146, 52097, 70718, 50444, 51410, 50933, 51414, 51174, 51457, 50959, 51981, 51058, 69999, 76702, 51190, 52492, 51955, 78622, 50456, 51137, 60175, 67308, 52894, 51241, 51410, 67835, 52311, 51487, 52311, 70718, 50420, 51414, 52407, 50960, 51680, 51190, 52492, 50426, 51457, 51333, 51064, 50972, 50903, 78622, 77901, 50977, 51981, 51423, 51067, 61725, 67308, 57080 ]

[ 0, 250, 765, 6, 14899, 15855, 2125, 4246, 1893, 43639, 6, 6755, 12547, 6, 1515, 21305, 6, 6168, 3540, 6, 8, 17691, 28430, 6, 7630, 14805, 10, 1472, 9, 9733, 8, 11098, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 20902, 27841, 3006, 11332, 20889, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 3541, 50, 28845, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 72624, 60859, 53614, 50903, 50854, 60859, 53614, 50903, 50854, 56875, 54060, 50799, 54899, 50810, 55111, 53119, 57395, 54542, 50810, 59334, 54806, 57617, 50816, 51258, 53550, 51258, 51382, 58210, 50816, 51258, 55669, 57236, 50816, 57395, 55111, 50810, 54899, 53887, 57481, 54515, 51134, 59128, 51391, 71469, 50439, 50816, 51693, 53012, 52445, 57040, 52445, 54141, 52611, 56594, 52611, 52612, 52611, 50448, 50816, 52611, 51382, 52445, 59986, 52445, 53061, 52445, 64119, 52445, 50456, 54157, 50892, 57738, 56751, 52445, 56032, 51693, 52198, 73147, 50816, 51693, 50799, 59334, 50844, 54542, 53832, 54953, 54922, 50874, 53862, 56062, 57617, 50816, 51258, 53550, 51258, 51382, 58210, 50816, 51258, 55669, 57236, 50816, 51258, 51302, 51258, 53550, 51258, 50439, 50816, 51693, 53012, 52445, 50443, 50816, 52445, 54141, 52611, 56594, 52611, 52612, 52611, 50449, 50816, 52611, 51382, 52445, 50451, 50816, 52445, 53061, 52445, 64119, 52445, 56871, 52445, 50457, 50816, 51693, 52198, 51693, 56875, 51306, 50799, 57738, 50844, 54157, 53887, 54953, 57738, 51397, 54157, 51448, 50804, 57617, 50816, 51258, 53550, 56663, 54542, 50844, 59334, 53119, 58210, 50816, 51129, 50799, 56186, 51419, 54163, 51391, 50804, 57311, 50816, 51129, 51302, 57617, 59334, 50905, 54542, 53264, 54163, 50822, 56186, 53887, 51129, 50440, 50816, 51693, 53012, 51693, 57040, 52445, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50448, 50816, 52611, 50450, 54922, 50844, 53862, 53832, 52445, 59986, 52445, 53061, 52445, 50455, 50816, 52445, 56871, 52445, 50457, 50816, 51693, 52198, 73147, 50816, 51306, 50799, 55111, 50844, 54899, 53887, 54953, 54515, 52015, 54067, 52015, 50804, 56761, 50816, 51258, 53550, 51129, 51382, 56077, 50816, 51129, 55669, 57311, 50816, 57395, 54067, 51097, 54515, 58799, 55379, 57436, 50981, 57454, 57604, 51129, 50440, 50816, 51693, 53012, 51693, 57040, 52445, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50448, 50816, 52611, 50450, 54377, 51312, 56101, 57604, 52445, 59986, 52445, 53061, 52445, 50455, 50816, 52445, 56871, 52445, 56032, 51693, 52198, 73147, 50816, 51306, 50799, 55111, 50844, 54899, 53832, 54953, 54542, 50810, 59334, 54806, 56761, 50816, 51129, 53550, 51129, 51382, 56077, 50816, 51129, 55669, 57311, 50816, 54953, 55111, 50844, 54899, 53119, 55379, 59128, 51134, 54515, 63782, 51129, 50440, 50816, 51693, 53012, 52445, 57040, 52445, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50449, 50816, 52611, 51382, 52445, 50451, 50816, 52445, 53061, 51693, 50455, 50816, 63820, 54157, 50845, 57738, 54371, 52445, 56032, 51693, 52198, 51693, 56875, 51306, 50799, 54542, 50844, 59334, 53887, 54953, 53862, 50844, 54922, 53832, 56761, 50816, 51129, 53550, 51129, 51382, 56077, 50816, 51129, 55669, 57311, 50816, 51129, 51302, 51129, 53550, 51129, 50439, 50816, 51693, 53012, 51693, 57040, 52445, 54141, 52611, 56594, 52611, 52612, 52611, 50449, 50816, 52611, 51382, 52445, 59986, 52445, 53061, 51693, 50455, 50816, 51693, 56871, 51693, 50457, 50816, 51693, 52198, 51306, 56875, 51306, 50799, 57738, 50822, 54157, 53832, 53896, 54157, 51535, 57738, 51535, 50804, 56761, 50816, 51129, 53550, 55038, 54542, 50822, 59334, 53887, 56077, 50816, 51129, 50799, 54163, 50810, 56186, 53887, 57311, 50816, 54953, 55111, 51448, 54899, 51448, 70166, 53550, 51129, 50439, 50816, 51693, 53012, 51693, 50443, 50816, 51693, 54141, 52611, 50445, 50816, 52611, 52612, 52611, 50448, 50816, 52611, 50450, 57738, 50844, 54157, 53119, 52445, 59986, 52445, 53061, 51693, 64119, 52445, 56871, 51693, 56032, 51693, 52198, 51306, 50461, 50816, 51306, 50799, 59334, 51293, 54542, 51313, 50804, 51004, 51302, 56761, 50816, 51129, 53550, 57536, 50816, 51129, 51382, 73496, 50816, 52835, 55669, 53896, 54067, 50995, 54515, 50995, 52203, 51097, 52278, 51097, 52481, 51466, 51426, 65461, 57436, 50915, 57454, 50981, 53314, 50995, 52926, 50995, 51887, 51333, 51154, 61637, 56101, 51267, 54377, 51312, 52614, 51380, 52355, 51109, 53148, 52996, 51491, 52056, 50461, 50816, 52514, 50799, 55111, 50810, 54899, 50810, 52849, 50844, 52186, 50810, 54875, 57791, 51004, 51699, 51748, 51088, 51671, 51930, 61390, 59334, 50833, 54542, 50854, 53042, 50844, 52173, 50833, 52032, 51210, 52695, 51365, 51946, 51365, 54277, 51524, 50804, 54075, 50816, 54203, 56196, 57791, 51004, 51261, 63050, 52032, 51210, 54277, 51524, 52695, 51365, 51946, 51524, 50804, 54616, 60707, 50799, 54875, 57791, 51004, 51638, 52916, 51165, 52140, 51930, 51387, 61889, 53896, 54899, 50833, 55111, 50854, 53602, 50822, 52186, 50810, 52032, 51210, 52695, 51365, 51946, 51365, 54277, 51524, 50804, 54203, 54515, 51241, 59128, 51241, 52203, 51134, 51950, 51351, 56196, 64064, 50982, 51261, 51387, 50440, 50816, 51306, 53012, 51693, 57040, 51693, 54141, 52445, 56594, 52445, 52612, 52445, 50448, 50816, 52445, 50450, 54875, 51074, 52695, 51524, 52032, 51142, 54277, 51365, 51946, 51365, 50804, 51693, 51699, 52011, 51088, 51333, 51930, 52025, 59986, 51693, 53061, 51693, 64119, 63820, 54157, 50845, 57738, 50901, 52307, 50905, 51802, 56369, 51693, 56032, 51306, 52198, 51258, 56875, 51258, 50799, 59334, 50810, 54542, 50810, 53042, 50844, 52173, 50844, 60767, 64064, 50982, 52316, 52727, 51375, 51748, 51522, 61390, 53862, 50810, 54922, 50844, 52795, 50822, 51784, 50822, 52338, 51365, 56177, 51524, 52695, 51524, 52541, 68284, 54075, 50816, 54203, 54875, 60727, 51004, 51930, 63050, 56177, 51524, 52338, 51524, 52541, 51051, 52695, 51524, 50804, 54616, 60707, 50799, 60767, 60727, 51004, 51299, 51703, 51093, 51314, 51522, 51387, 61889, 53896, 52541, 51210, 56177, 51365, 52695, 51524, 52338, 51365, 50804, 54203, 54875, 64064, 51004, 52316, 51490, 51375, 51490, 51930, 51387, 50439, 50816, 51306, 53012, 51693, 50443, 50816, 51693, 54141, 52445, 50445, 50816, 52445, 52612, 52445, 50448, 50816, 52445, 50450, 60767, 51079, 52338, 51365, 56177, 51524, 52695, 51365, 52541, 69028, 51693, 51522, 52025, 59986, 51693, 53061, 51693, 64119, 51693, 56871, 51693, 50457, 50816, 51306, 52198, 51258, 50461, 50816, 51258, 50799, 54157, 50810, 57738, 50810, 52307, 50844, 51802, 50810, 56196, 60727, 50982, 51638, 53201, 51165, 52829, 51261, 61390, 54157, 51397, 57738, 51562, 52307, 51448, 51802, 51448, 52665, 51524, 52032, 51210, 54277, 51365, 52541, 51524, 50804, 54075, 50816, 54203, 56196, 64064, 51004, 51261, 67427, 59334, 50854, 54542, 50854, 53042, 50844, 52173, 50810, 52695, 51524, 52541, 51524, 52032, 51210, 54277, 51524, 50804, 54616, 60707, 50799, 56186, 51134, 54163, 51351, 52494, 51391, 51900, 51134, 56196, 60727, 51004, 51261, 51387, 61889, 53896, 54277, 51365, 52541, 51524, 52032, 51210, 52665, 51524, 50804, 54075, 54542, 50845, 59334, 50901, 53042, 50905, 52173, 53913, 54163, 50854, 56186, 50854, 52494, 50822, 51900, 50844, 56196, 60727, 50982, 51261, 51432, 50440, 50816, 51306, 53012, 51693, 57040, 51693, 54141, 52445, 56594, 52445, 52612, 52445, 50448, 50816, 52445, 50450, 53862, 50844, 54922, 50810, 52795, 50844, 51784, 50810, 54277, 51524, 52541, 51365, 52032, 51210, 52665, 51365, 50804, 51693, 50451, 50816, 51693, 53061, 51693, 50455, 50816, 51693, 56871, 51693, 56032, 51306, 52198, 51258, 56875, 51258, 50799, 54899, 50854, 55111, 50854, 53602, 50822, 52186, 50810, 54875, 64064, 50928, 51638, 58651 ]

[ 0, 4688, 20425, 5175, 2214, 11, 272, 538, 6, 4246, 10, 20902, 1076, 560, 31365, 25999, 483, 7513, 30, 10, 20535, 2810, 6, 3459, 9590, 6, 6755, 12547, 6, 8, 3459, 8669, 4, 590, 10, 1769, 20889, 9, 18817, 163, 5683, 8, 10, 132, 73, 306, 86, 6543, 6, 5, 33301, 25780, 149, 10, 16739, 9, 272, 6, 211, 406, 6, 272, 6, 1918, 6, 8, 211, 406, 73, 597, 10431, 40286, 6, 7630, 14805, 10, 8576, 9, 8597, 31, 11098, 7, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 77669, 51038, 51038, 51057, 51088, 50948, 62243, 51946, 50977, 51951, 50854, 57293, 53632, 53966, 56884, 56260, 50816, 53576, 51776, 54007, 52578, 53950, 51776, 55104, 52578, 53974, 51776, 64141, 50804, 50863, 51057, 51699, 50948, 56723, 51946, 50977, 52682, 50977, 51951, 53632, 57112, 56260, 50816, 53576, 52226, 50812, 51652, 52757, 50608, 54069, 52522, 50812, 51643, 72560, 52905, 51652, 50812, 52226, 52757, 50608, 54694, 52522, 50812, 51643, 72560, 52844, 52226, 50854, 51652, 53376, 50608, 58414, 50804, 50837, 51057, 52776, 50948, 62243, 51946, 50977, 51963, 50936, 70676, 50854, 52682, 53632, 57445, 53500, 53855, 50953, 50889, 53779, 50883, 51057, 51443, 54566, 50373, 79052, 56621, 50816, 52762, 55015, 56993, 52417, 53792, 57957, 50846, 51057, 50964, 50878, 54531, 51312, 50420, 51451, 50863, 51366, 54839, 52712, 51443, 50955, 57218, 57173, 51451, 50863, 51366, 54946, 50825, 51057, 50964, 50942, 55995, 51312, 50420, 51451, 50863, 51366, 54839, 52712, 51443, 50955, 56337, 62050, 51366, 50863, 51451, 50863, 55995, 63658, 50835, 51057, 70224, 55995, 51380, 50420, 51912, 50863, 51322, 54839, 52641, 51443, 50955, 57890, 51480, 50432, 51322, 50863, 51912, 54946, 50829, 74248, 50955, 57890, 51642, 50420, 51322, 50863, 51912, 54839, 58115, 72358, 53327, 58990, 50816, 52712, 50927, 50955, 54283, 56993, 52953, 51912, 50863, 51322, 50863, 55015, 59140, 50839, 51057, 51443, 50955, 53792, 51312, 50420, 51322, 50863, 51912, 54839, 52712, 51205, 50955, 56337, 69558, 51912, 50863, 51322, 54946, 50825, 51057, 70224, 57890, 51775, 50420, 51912, 50863, 51322, 54839, 52712, 50953, 50955, 55995, 59982, 51912, 50863, 51322, 50863, 57890, 59140, 50835, 51057, 50964, 50878, 54629, 60726, 51451, 50863, 51366, 54839, 52641, 50964, 50955, 54531, 51484, 50432, 51366, 50863, 51451, 54946, 50829, 51057, 50964, 50810, 54531, 70152, 51443, 50844, 51451, 50863, 51366, 54839, 58115, 72358, 53327, 58990, 50816, 52712, 51069, 50810, 55015, 50845, 51683, 56751, 52953, 51205, 50844, 51451, 50863, 51366, 50863, 53792, 50905, 51648, 56649, 50839, 51057, 50964, 50878, 54531, 51312, 52338, 50932, 51888, 57933, 51366, 50863, 51451, 54839, 52712, 51443, 50955, 55995, 50892, 53064, 57648, 51366, 50863, 51451, 50863, 56337, 57957, 50825, 51057, 50964, 50878, 57218, 51312, 51946, 60115, 51451, 50837, 51366, 53802, 52712, 50964, 50955, 56337, 50892, 52032, 50915, 51648, 54100, 51451, 50837, 51366, 50837, 55995, 50892, 51888, 56649, 50835, 51057, 50945, 50878, 54629, 51312, 52196, 50981, 51713, 57933, 51451, 50837, 51256, 53802, 52641, 50964, 50955, 56337, 50892, 51996, 54100, 51256, 50837, 51451, 50837, 57218, 50892, 51946, 57957, 50829, 51057, 50945, 50955, 60750, 51312, 52196, 67568, 51256, 50837, 51451, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 50945, 50955, 57218, 56993, 52953, 51451, 50837, 51256, 50837, 56337, 57957, 50839, 51057, 50953, 50955, 54531, 50995, 51946, 51314, 52310, 67568, 51912, 50837, 51322, 53802, 52670, 80147, 60750, 57691, 53031, 51322, 50837, 51912, 53802, 50835, 51057, 51011, 50878, 57218, 50995, 51996, 51447, 51648, 51145, 50816, 53203, 51912, 50837, 51322, 53802, 52928, 51415, 50878, 56337, 51253, 50816, 52925, 51322, 50837, 51912, 53802, 50841, 51057, 51133, 50878, 55995, 51148, 53064, 52783, 51683, 51803, 50420, 51366, 50837, 51451, 53802, 54069, 50816, 52905, 50953, 50955, 67654, 52844, 51366, 50837, 51451, 53802, 50828, 51057, 50964, 63250, 53576, 51451, 50837, 51366, 53802, 52437, 50953, 50955, 55015, 59140, 52927, 51451, 50837, 51366, 50837, 53792, 56751, 50818, 51057, 51299, 51097, 50964, 50878, 54531, 51312, 50420, 51366, 50837, 51451, 53802, 58646, 51301, 60324, 51443, 50955, 57218, 57173, 51366, 50837, 51451, 56061, 50825, 51057, 51088, 51097, 50964, 50942, 55995, 51312, 50420, 51366, 50837, 51451, 53802, 52712, 51491, 51097, 51443, 50955, 56337, 62050, 51366, 50837, 51451, 50837, 55995, 63658, 50835, 51057, 51154, 51542, 70224, 55995, 51380, 50420, 51912, 50837, 51322, 53802, 52641, 51443, 50955, 57890, 51480, 50429, 51301, 54221, 51251, 50822, 51322, 50837, 51912, 56061, 54288, 51301, 50874, 51057, 51154, 51447, 50927, 50955, 57890, 51642, 50420, 51322, 50837, 51912, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 50927, 50955, 54283, 56993, 52953, 51322, 50837, 51912, 50837, 55015, 59140, 50839, 51057, 52065, 51108, 51443, 50955, 53792, 51312, 50420, 51322, 50837, 51912, 53802, 58646, 51251, 60324, 51205, 50955, 56337, 57173, 51322, 50837, 51912, 56061, 50825, 51057, 78035, 70224, 57890, 51775, 50420, 51322, 50837, 51912, 53802, 52712, 51154, 50995, 50953, 50955, 55995, 59982, 51322, 50837, 51912, 50837, 57890, 59140, 50835, 51057, 51301, 51542, 50964, 50878, 54629, 60726, 51451, 50837, 51366, 53802, 52641, 50964, 50955, 54531, 51484, 50429, 51251, 54221, 51299, 50827, 51451, 50837, 51366, 56061, 54288, 51251, 50827, 51057, 51301, 51314, 50964, 50810, 54531, 70152, 51443, 50844, 51366, 50837, 51451, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 51069, 50810, 55015, 54371, 52953, 51205, 50844, 51451, 50837, 51366, 50837, 53792, 59140, 50839, 51057, 51299, 50932, 50964, 50810, 54531, 51312, 51836, 51662, 50420, 51451, 50837, 51366, 53802, 52712, 51301, 50932, 51443, 50955, 55995, 54100, 51451, 50837, 51366, 50837, 56337, 57957, 50825, 51057, 51088, 51097, 50964, 50878, 57218, 51312, 50420, 51366, 50837, 51451, 53802, 52712, 51301, 51097, 50964, 50955, 56337, 50892, 52032, 57648, 51366, 50837, 51451, 50837, 55995, 57957, 50835, 51057, 51154, 50995, 50945, 50878, 54629, 51312, 52196, 51312, 50420, 51256, 50837, 51451, 53802, 52641, 51251, 50892, 50964, 50955, 56337, 50892, 51996, 53961, 51301, 51233, 51451, 50837, 51256, 50837, 57218, 50892, 51946, 51337, 50816, 50829, 51057, 51154, 51145, 50945, 50955, 60750, 51312, 52196, 67568, 51451, 50837, 51256, 53802, 58115, 72358, 53327, 58990, 50816, 52712, 50945, 50955, 57218, 56993, 52953, 51451, 50837, 51256, 50837, 56337, 57957, 50839, 51057, 50953, 50955, 54531, 50995, 51946, 51397, 50420, 51912, 50837, 51322, 53802, 52670, 51699, 50995, 80147, 60750, 57691, 53031, 51322, 50837, 51912, 53802, 50829, 51057, 51883, 50995, 51011, 50878, 57218, 50995, 51996, 51148, 50816, 53403, 51912, 50837, 51322, 53802, 52639, 52065, 51097, 51415, 50878, 56337, 51253, 50816, 52925, 51322, 50837, 51912, 53802, 50841, 51057, 51299, 51680, 51133, 50878, 55995, 51148, 53064, 51803, 50420, 51451, 50837, 51366, 50837, 51776, 53497, 53423, 52002, 54690, 52437, 50953, 50955, 50429, 52002, 54690, 52209, 51451, 50837, 51366, 50837, 51776, 54472, 50818, 51057, 50964, 50955, 51451, 50837, 51366, 50837, 52002, 54690, 52432, 51443, 50955, 51776, 54218, 52437, 51069, 50955, 65700, 50805, 52002, 53228, 52667, 51205, 50955, 58982, 50805, 53170, 54218, 50828, 51057, 51093, 51218, 50964, 50878, 55995, 51391, 56724, 51157, 52306, 66128, 51451, 50825, 51366, 50825, 52196, 53832, 54316, 51946, 52921, 75567, 52196, 50932, 52376, 55112, 51093, 50873, 51451, 50825, 51366, 50825, 55995, 57957, 50835, 51057, 51266, 50943, 51133, 50833, 57218, 50981, 52196, 50822, 52832, 51157, 50417, 51946, 53728, 51133, 50833, 51451, 50825, 51366, 50825, 52196, 73570, 52762, 51093, 50943, 51415, 50833, 55995, 50995, 52457, 56504, 78355, 51451 ]

[ 0, 4688, 9066, 8, 814, 12, 21330, 5175, 19834, 6, 42, 8787, 15229, 16, 278, 11, 211, 3694, 8, 11498, 10, 7212, 204, 73, 306, 20889, 4, 20, 13305, 6, 31391, 1672, 9590, 6, 6755, 12547, 6, 2382, 3459, 8669, 6, 8, 36075, 8669, 35810, 561, 7, 1045, 10, 25306, 5797, 990, 1506, 6, 7630, 14805, 2933, 8, 3722, 223, 34693, 4, 20, 46336, 5252, 16, 10122, 19, 5, 40286, 211, 119, 6, 274, 73, 347, 6, 163, 43531, 1176, 406, 6, 2060, 401, 6, 8, 381, 6, 1271, 5581, 7, 42, 24111, 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 ]

[ 54458, 54311, 50811, 51137, 51581, 50287, 58172, 51137, 50811, 51026, 53728, 51137, 50811, 51026, 54252, 54311, 50811, 51137, 51581, 50287, 52921, 51137, 50811, 51026, 56739, 51137, 50811, 51026, 53193, 54311, 50811, 51137, 51581, 50287, 54378, 51137, 50811, 51026, 50822, 75849, 50811, 51137, 51581, 50287, 57366, 51137, 50811, 51026, 53743, 51137, 50811, 51026, 55118, 54311, 50811, 51214, 53140, 51137, 50811, 51026, 56936, 54311, 50811, 51137, 51581, 50287, 53820, 51137, 50811, 51026, 54846, 51137, 50811, 51026, 50822, 67398, 50811, 51137, 51581, 50287, 58172, 51137, 50811, 51026, 53728, 51137, 50811, 51026, 54252, 54311, 50811, 51214, 52921, 51137, 50811, 51026, 56739, 51137, 50811, 51026, 53193, 54311, 50811, 51137, 51581, 50287, 54378, 51137, 50811, 51026, 50822, 75849, 50811, 51214, 57366, 51137, 50811, 51026, 53743, 51137, 50811, 51026, 55118, 54311, 50811, 51214, 53140, 51137, 50811, 51026, 56936, 54311, 50811, 51137, 51581, 50287, 53820, 51137, 50811, 51026, 54846, 51137, 50811, 51026, 50822, 67398, 50811, 51137, 51581, 50287, 58172, 51137, 50811, 51026, 53728, 51137, 50811, 51026, 54252, 54311, 50811, 51137, 51581, 50287, 52921, 51137, 50811, 51026, 56739, 51137, 50811, 51026, 53193, 54311, 50811, 51214, 54378, 51137, 50811, 51026, 61573, 54311, 50811, 51137, 51581, 50287, 50822, 50440, 51137, 50811, 51026, 70627, 51137, 50811, 51026, 62077, 54311, 50811, 51214, 64827, 51137, 50811, 51026, 76960, 54311, 50811, 51137, 51581, 50287, 66968, 51137, 50811, 51026, 63105, 51137, 50811, 51026, 61982, 54311, 50811, 51137, 51581, 50287, 50822, 51809, 51137, 50811, 51026, 68649, 51137, 50811, 51026, 65532, 54311, 50811, 51137, 51581, 50287, 63750, 51137, 50811, 51026, 73881, 51137, 50811, 51026, 63605, 54311, 50811, 51137, 51581, 50287, 59909, 51137, 50811, 51026, 61573, 54311, 50811, 51137, 51581, 50287, 50822, 50440, 51137, 50811, 51026, 70627, 51137, 50811, 51026, 62077, 54311, 50811, 51137, 51581, 50287, 64827, 51137, 50811, 51026, 76960, 54311, 50811, 51214, 66968, 51137, 50811, 51026, 63105, 51137, 50811, 51026, 66211, 56991, 54454, 50461, 56991, 56073, 58154, 51160, 51214, 51313, 51026, 51412, 51165, 53753, 51809, 69360, 51020, 50827, 51075, 50827, 51211, 73616, 51083, 75546, 50838, 70807, 51211, 67132, 51132, 51427, 51026, 51412, 50425, 69360, 51020, 50827, 51075, 50827, 51211, 50827, 50428, 51083, 75546, 50838, 70807, 51211, 70217, 51137, 52362, 50299, 70139, 51083, 75546, 50838, 70807, 51211, 65668, 51137, 51427, 51026, 51412, 50440, 69360, 51020, 50827, 51075, 50827, 51211, 75396, 51083, 75546, 50838, 70807, 51211, 69262, 51137, 51936, 50299, 78876, 51083, 75546, 50838, 70807, 51211, 75013, 51137, 51235, 51026, 51412, 50455, 69360, 51020, 50827, 51075, 50827, 51211, 65241, 69360, 51020, 50827, 51075, 50827, 51211, 61243, 58154, 51160, 51214, 51313, 51026, 51412, 51809, 69360, 51268, 50827, 51075, 50827, 51529, 73616, 51083, 50838, 51268, 50838, 70807, 51529, 67132, 51132, 51427, 51026, 51412, 50425, 69360, 51268, 50827, 51075, 50827, 51529, 50827, 50428, 51083, 50838, 51268, 50838, 70807, 51529, 70217, 51137, 53194, 50299, 70139, 51083, 50838, 51268, 50838, 70807, 51529, 50838, 50436, 55851, 51175, 50437, 55851, 51354, 51137, 51460, 51026, 51412, 51093, 51233, 50440, 69360, 51268, 50827, 51075, 50827, 51529, 53086, 56991, 51215, 50445, 56991, 51379, 51165, 51233, 50446, 51137, 51936, 50299, 78876, 51083, 50838, 51268, 50838, 70807, 51529, 75013, 55769, 51091, 51137, 51175, 51026, 51412, 50453, 55769, 51226, 51113, 51391, 50455, 69360, 51075, 61243, 51137, 51460, 51214, 51313, 51026, 51412, 51809, 69360, 51061, 50827, 51075, 50827, 51344, 73616, 51083, 72295, 50838, 70807, 51344, 54177, 56991, 51095, 50421, 56991, 51167, 50422, 51137, 51235, 51026, 51412, 51165, 51233, 50425, 69360, 51061, 50827, 51075, 50827, 51344, 50827, 50428, 56991, 51896, 51083, 72295, 50838, 70807, 51344, 58125, 56991, 52017, 51165, 51742, 50431, 51137, 52362, 50299, 70139, 51083, 72295, 50838, 70807, 60944, 50437, 51137, 51379, 51026, 51412, 50440, 69360, 51061, 50827, 51075, 50827, 51344, 75396, 51083, 72295, 50838, 70807, 60944, 50446, 51137, 51936, 50299, 78876, 51083, 72295, 50838, 70807, 60944, 50452, 51137, 51235, 51026, 51412, 50455, 69360, 51061, 50827, 51075, 50827, 51344, 65241, 69360, 51061, 50827, 51075, 50827, 51344, 61243, 51137, 51483, 51214, 51313, 51026, 51412, 51809, 69360, 51089, 50827, 51075, 50827, 64693, 50419, 51083, 50838, 51089, 50838, 70807, 51219, 67132, 51137, 51235, 51026, 51412, 50425, 69360, 51089, 50827, 51075, 50827, 64693, 50428, 51083, 50838, 51089, 50838, 70807, 51219, 70217, 54358, 50805, 54358, 50893, 51137, 53194, 50299, 54342, 51088, 71648, 51083, 50838, 51089, 50838, 70807, 51219, 65668, 55851, 51175, 55851, 51167, 51137, 51460, 51026, 51412, 50438, 51093, 51233, 50441, 69360, 51089, 50827, 51075, 50827, 51219, 53086, 51083, 50838, 51089, 50838, 70807, 51219, 67446, 56991, 51215, 50446, 56991, 51175, 51165, 51233, 50447, 51137, 51936, 50299, 54323, 51083, 50838, 51089, 50838, 70807, 51219, 59354, 55769, 51091, 51137, 51227, 51026, 51412, 50454, 55769, 51226, 51113, 51391, 50456, 69360, 51089, 50827, 51075, 50827, 51219, 54529, 69360, 51089, 50827, 51075, 50827, 64693, 51094, 50273, 51427, 51214, 51313, 51026, 51412, 50417, 69360, 51341, 50827, 51075, 50827, 51569, 53004, 51083, 50838, 51341, 50838, 70807, 51569, 70631, 56991, 71587, 56991, 51167, 51165, 51233, 50423, 51132, 51160, 51026, 51412, 50426, 69360, 51341, 50827, 51075, 50827, 51569, 54889, 56991, 51896, 51083, 50838, 51341, 50838, 70807, 71170, 50430, 56991, 57676, 51165, 51742, 50432, 51137, 53194, 50299, 60282, 51083, 50838, 51341, 50838, 70807, 51569, 52718, 51137, 51460, 51026, 51412, 50441, 69360, 51341, 50827, 51075, 50827, 51569, 53086, 51083, 50838, 51341, 50838, 70807, 51569, 57060, 51137, 51936, 50299, 54323, 51083, 50838, 51341, 50838, 70807, 51569, 59354, 51137, 51235, 51026, 51412, 50456, 69360, 51341, 50827, 51075, 50827, 51569, 54529, 69360, 51341, 50827, 51075, 50827, 51569, 50827, 53053, 51460, 51026, 51124, 50417, 69360, 51020, 50827, 51075, 50827, 51211, 53004, 51083, 75546, 50838, 70807, 51211, 56909, 51640, 51235, 51378, 74592, 69360, 51020, 50827, 51075, 50827, 51211, 54889, 51083, 75546, 50838, 70807, 51211, 53052, 51132, 51460, 51050, 51124, 50435, 51083, 75546, 50838, 70807, 51211, 58978, 51374, 51235, 51315, 51124, 69360, 51020, 50827, 51075, 50827, 51211, 53086, 51083, 75546, 50838, 70807, 51211, 52985, 51533, 52370, 50295, 50849, 51083, 75546, 50838, 70807, 51211, 53581, 51181, 52362, 50294, 50849, 69360, 51020, 50827, 51075, 50827, 51211, 54529, 69360, 51020, 50827, 51075, 50827, 51211, 61243, 56991, 51036, 50799, 56991, 52379, 51957, 51460, 51360, 51412, 51165, 51293, 50417, 51020, 50827, 51211, 53004, 51495, 50838, 51089, 50838, 51548, 50838, 51219, 56909, 51957, 51235, 51360, 51412, 50426, 51495, 50827, 51089, 50827, 51548, 50827, 51219, 54889, 51495, 50838, 51089, 50838, 51548, 50838, 51219, 53052, 51957, 52362, 50293, 60282, 51495, 50838, 51089, 50838, 51548, 50838, 51219, 50838, 58105, 51427, 51360, 51412, 50441, 51495, 50827, 51089, 50827, 51548, 50827, 51219, 53086, 51495, 50838, 51089, 50838, 51548, 50838, 51219 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 11, 163, 538, 6, 4246, 10, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 8669, 6, 9590, 6, 21072, 6, 8, 930, 2233, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 5705, 35315, 5, 33215, 16739, 9, 274, 10431, 6, 163, 6, 381, 6, 274, 10431, 6, 8, 163, 6, 2351, 10, 1372, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 50903, 51177, 71750, 51177, 50440, 50903, 51277, 50447, 50903, 51177, 50453, 50903, 51277, 50460, 50903, 51177, 52478, 51493, 50855, 53388, 52598, 53559, 54532, 55439, 51447, 52120, 53837, 59335, 56856, 51493, 50840, 51042, 60722, 68565, 51750, 52546, 53423, 51471, 57363, 51139, 56171, 51493, 51750, 64015, 51493, 63243, 57930, 68096, 51539, 52546, 57318, 51471, 50431, 52120, 57201, 51493, 51750, 54288, 51493, 50836, 51042, 60722, 68565, 51750, 52546, 58024, 56270, 51493, 50841, 53022, 56993, 51139, 59797, 51493, 50841, 51217, 52223, 55262, 51493, 50895, 51042, 62338, 62386, 51464, 52546, 58431, 52659, 51467, 57028, 51216, 53097, 55280, 50446, 53395, 50908, 53559, 51306, 53652, 50928, 51017, 63117, 63607, 51916, 60044, 53240, 50846, 53395, 51008, 53559, 51008, 53652, 51051, 51017, 50854, 58817, 50850, 53330, 52546, 57868, 50852, 56012, 51216, 53966, 51139, 53545, 51868, 50846, 53395, 51004, 53559, 50891, 53652, 67906, 52348, 57690, 51984, 50809, 53395, 50833, 53559, 50854, 53652, 50844, 50850, 51750, 52546, 52349, 51125, 51467, 57059, 51668, 50812, 53282, 52460, 54106, 54521, 56590, 51642, 52120, 53902, 50944, 72913, 50837, 51298, 50372, 52418, 56172, 55781, 50846, 66523, 75035, 51298, 53330, 52546, 50818, 51601, 51471, 50416, 51668, 53966, 51139, 59720, 51930, 50846, 52889, 50982, 50944, 52348, 61132, 53262, 50809, 53559, 50834, 53282, 61442, 51750, 52546, 52432, 53395, 59043, 51298, 51467, 54104, 51984, 50897, 53022, 51627, 53559, 52441, 55439, 51961, 52120, 58423, 56457, 51493, 65289, 50870, 50992, 51750, 52546, 60568, 51471, 50429, 51493, 54212, 51139, 56999, 51493, 50839, 51217, 51750, 57107, 51493, 69543, 50863, 50992, 52465, 52546, 56859, 51471, 50436, 51668, 53790, 55280, 50437, 51868, 50829, 53559, 50835, 55439, 53600, 57270, 51984, 70387, 68565, 51750, 52546, 53905, 53559, 50825, 55439, 51833, 58900, 51868, 52572, 51139, 52210, 51668, 50834, 53388, 51000, 51042, 52223, 56892, 51522, 50839, 53559, 50835, 55439, 50886, 50868, 51916, 52546, 53641, 51705, 61896, 50891, 50992, 51833, 56918, 53381, 51806, 53559, 51806, 53652, 51806, 52120, 56086, 51705, 65453, 50870, 50944, 67804, 50870, 51125, 52348, 64314, 51705, 50952, 50868, 67380, 50833, 59416, 51125, 52938, 52546, 57109, 51471, 50455, 59425, 57430, 51705, 64383, 50870, 50944, 67804, 50870, 51125, 52348, 54794, 51705, 55729, 66275, 58243, 50836, 51125, 52217, 51989, 57319, 51471, 50799, 54106, 51884, 56590, 51797, 61069, 52011, 52120, 61131, 51668, 51467, 56166, 51668, 50859, 51042, 79710, 63264, 51437, 52546, 58100, 80077, 51930, 51907, 51139, 56493, 54106, 50955, 51471, 50424, 53262, 50883, 56590, 50863, 51042, 63431, 68058, 51464, 52546, 57550, 51930, 51135, 56680, 51493, 50855, 53022, 51627, 53559, 52441, 55439, 51961, 50868, 51258, 50992, 50870, 52747, 50917, 53170, 50917, 52120, 53837, 54013, 51471, 50430, 51493, 60975, 50982, 50992, 55316, 52546, 70131, 56516, 51888, 50917, 52747, 58224, 51139, 53593, 51493, 51750, 57405, 51493, 56288, 68096, 51750, 52546, 56484, 51471, 50440, 52489, 51162, 52310, 51162, 52120, 58408, 51493, 50835, 53559, 50835, 55439, 51004, 51217, 51916, 58616, 51493, 62427, 50982, 50992, 51916, 52546, 58500, 53559, 50825, 55439, 51833, 54368, 51493, 54131, 51139, 60794, 51493, 50841, 53388, 51000, 51217, 51464, 52802, 51493, 50895, 53559, 50835, 55439, 50886, 50868, 52771, 52546, 59671, 52659, 65289, 79603, 51437, 55097, 51216, 50812, 53395, 51852, 53559, 58090, 53652, 52034, 54556, 53097, 55280, 50455, 51471, 50457, 53240, 50846, 68320, 57553, 61859, 53170, 51420, 52546, 56637, 51471, 50460, 51216, 50839, 53170, 53497, 51139, 56904, 51868, 79640, 62193, 52611, 50415, 51984, 50809, 53395, 50886, 53559, 50867, 53652, 50864, 51017, 65289, 63752, 50839, 52002, 51420, 52546, 50818, 51402, 60461, 53381, 51806, 54106, 51806, 56590, 51806, 52747, 53097, 51044, 52432, 51668, 50839, 50979, 50870, 50944, 50870, 50935, 52348, 56856, 51668, 65861, 67380, 50833, 70392, 52578, 51420, 52546, 53423, 51471, 50425, 51930, 50800, 51888, 53497, 51139, 56171, 50979, 50870, 50944, 50870, 50935, 52348, 64015, 53262, 50883, 50979, 66275, 62552, 50836, 52578, 51420, 52546, 57318, 51930, 51135, 59278, 51888, 50917, 52747, 50917, 52120, 57201, 51493, 51437, 54288, 51493, 63243, 60722, 68565, 51750, 52546, 58024, 53022, 73678, 52766, 53559, 52996, 55439, 51380, 56590, 51709, 52310, 50917, 51888, 58224, 51139, 59797, 51493, 51464, 55262, 51493, 50925, 51042, 57930, 68096, 51539, 52546, 58431, 51471, 50445, 52489, 51162, 52310, 51162, 52120, 57000, 51493, 51750, 60044, 51493, 50820, 53388, 50886, 51042, 60722, 68565, 51750, 52546, 57868, 51493, 50841, 53559, 50863, 55439, 51539, 57136, 59425, 53545, 51493, 50891, 53388, 50837, 51217, 52223, 57690, 51493, 50891, 53559, 50941, 55439, 50886, 56590, 50813, 51042, 62338, 62386, 51464, 52546, 52349, 51493, 51130, 57059, 53262, 50808, 53381, 51806, 53559, 51806, 53652, 51806, 51913, 50917, 52578, 50917, 52120, 53902, 50868, 50870, 50944, 67804, 50870, 51125, 52348, 56172, 51705, 65289, 67380, 50833, 59416, 51125, 52938, 52546, 50818, 51601, 51471, 50416, 51705, 50846, 52002, 51110, 59425, 59720, 51705, 65289, 50870, 50944, 67804, 50870, 51125, 52348, 61132, 50868, 66275, 58243, 50836, 51125, 52217, 52546, 52432, 51705, 65992, 63255, 55781, 50839, 53282, 52460, 54106, 54521, 56590, 51642, 52120, 58423, 55781, 70484, 50870, 50944, 50870, 50935, 52348, 52762, 53262, 70484, 67380, 50833, 70392, 52747, 51420, 52546, 60568, 51668, 51044, 54956, 52747, 53497, 51139, 56999, 53262, 50982, 52889, 50982, 50979, 50870, 50944, 50870, 50935, 52348, 52953, 53559, 50834, 53282, 58685, 55781, 50883, 53395, 65641, 66275, 62552, 50836, 52578, 51420, 52546, 56859, 51471, 50436, 51493, 65892, 51258, 50992, 50971, 52578, 53704, 55280, 50437, 52578, 51187, 57270, 51493, 60975, 50982, 70948, 51888, 50828, 52578, 51187, 52546, 53905, 53022, 52231, 52578, 51187, 58900, 53559, 52996, 55439, 51380, 56590, 51709, 51888, 50812, 52578, 53497, 51139, 52210, 51493, 51750, 56892, 51493, 56288, 68096, 50835, 52310, 51420, 52546, 53641, 51471, 50449, 52489, 51159, 52310, 51159, 52120, 56086, 51493, 50835, 51217, 51916, 64314, 51493, 50836, 53388, 50886, 50868, 50982, 50992, 51916, 52546, 57109, 53559, 50863, 55439, 51539, 58677, 51493, 54131, 51139, 57430, 51493, 50841, 53388, 50837, 51217, 51464, 54794, 51493, 50895, 53559, 50941, 55439, 50886, 56590, 59108, 52771, 52546, 57319, 52659, 65289, 79603, 51437, 50829, 50799, 53240, 50808, 53022, 51806, 53559, 51806, 53652, 51806, 51913, 50917, 52120, 61131, 51017, 63117, 63607, 51916, 56166, 51216, 50839, 51017, 50854, 58817, 50850, 53330, 52546, 58100, 56345, 50421, 51216, 50846, 52578, 51110, 59425, 56493, 51216, 65289, 52348, 58830, 51216, 50808, 50850, 51750, 51989, 57550, 51125, 51467, 56680, 51668, 50812, 53282, 51852, 54106, 58090, 56590, 52034, 52120, 54013, 51471, 50430, 55781, 50846, 52578, 51420, 52546, 56999, 71933, 69082, 75721, 51361, 56516, 51668, 50839, 52747, 53497, 51139, 53593, 51930, 51239, 59370, 51791, 52611, 50437, 53262, 50809, 53282, 50886, 54106, 50867, 56590, 50864, 50979, 76061, 69010, 50839, 52578, 51420, 52546, 56484, 51471, 50440, 51984, 50800, 53388, 52598, 53559, 54532, 55439, 51447 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 1365, 6288, 6, 4246, 38668, 22052, 6, 21072, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 38668, 2236, 6, 8, 21979, 9590, 4, 20, 2125, 16, 278, 11, 272, 3694, 19, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5553, 163, 5683, 6, 2351, 10, 23975, 8, 2829, 2933, 5466, 14, 19101, 26545, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 62423, 51184, 54256, 55804, 54256, 52302, 54256, 53578, 54256, 52630, 54256, 54935, 54256, 52265, 54256, 53785, 54256, 57776, 70618, 51352, 50438, 54256, 54129, 54256, 52267, 54256, 51463, 55888, 54256, 51463, 55268, 54256, 51463, 56883, 54256, 51463, 55433, 54256, 51463, 56419, 54256, 52279, 50887, 50799, 54064, 51655, 52016, 52392, 51678, 52392, 54045, 51538, 51098, 63388, 51073, 54001, 57560, 50879, 51039, 54818, 51098, 51158, 50903, 54047, 74667, 66639, 50952, 51361, 55486, 51140, 53238, 50952, 57280, 55110, 57681, 50903, 53806, 51098, 54523, 50879, 77653, 55268, 53557, 50910, 50903, 53988, 74667, 62341, 50952, 50453, 54045, 52643, 55205, 53848, 57196, 50808, 50799, 52233, 52392, 52091, 52392, 51678, 52392, 54045, 51538, 51098, 61025, 68760, 59912, 50887, 51768, 54047, 74667, 62341, 50952, 51361, 55486, 51140, 53238, 50952, 57280, 52189, 57681, 50903, 53806, 51098, 63388, 50879, 77653, 55268, 53557, 67893, 53988, 62992, 62341, 59682, 54045, 52643, 55205, 53848, 57196, 50808, 50799, 54064, 51472, 52016, 51472, 51678, 51655, 54045, 51538, 51098, 56910, 68760, 59912, 50887, 51768, 54047, 62992, 62341, 50952, 51361, 55486, 51140, 53238, 59646, 52233, 51336, 52091, 51336, 51098, 52189, 57681, 50903, 53806, 51098, 66150, 50879, 77653, 55268, 53494, 67638, 53988, 51388, 51068, 62341, 50859, 50799, 54064, 52392, 52016, 52392, 51821, 52392, 53452, 51991, 51261, 58396, 68760, 53829, 51261, 58415, 50887, 51768, 54047, 51388, 51068, 62341, 50952, 51361, 55486, 51261, 58396, 50952, 50437, 70618, 51352, 51570, 57681, 50903, 53806, 51261, 54523, 50879, 77653, 50887, 51955, 53988, 62992, 62341, 54418, 52495, 56419, 52495, 50884, 50799, 52495, 50887, 54064, 51336, 52016, 51336, 51821, 51364, 50757, 50330, 52220, 78006, 52495, 50952, 50757, 50330, 52302, 50757, 50330, 54381, 52495, 51238, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51655, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50884, 50757, 50330, 51670, 71074, 53806, 52239, 50859, 50757, 50330, 51670, 71074, 58181, 52495, 50952, 50757, 50330, 52768, 52239, 50879, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 52495, 50859, 50757, 50330, 54871, 52239, 50859, 50757, 50330, 50811, 50799, 52248, 50887, 51821, 54300, 51701, 51336, 50757, 50330, 52220, 78006, 52248, 50879, 50757, 50330, 52302, 50757, 50330, 54381, 52269, 51238, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52248, 50879, 50757, 50330, 54496, 50757, 50330, 52952, 52239, 50859, 54064, 51655, 52016, 51655, 50757, 50330, 55092, 52495, 51294, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 52706, 50859, 50757, 50330, 54871, 52495, 50887, 50757, 50330, 50811, 50799, 52495, 50887, 50757, 50330, 52220, 78006, 52495, 50952, 50757, 50330, 52302, 50757, 50330, 54381, 52495, 51215, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51336, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50884, 50757, 50330, 51670, 71074, 53806, 52239, 50879, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 52495, 50859, 50757, 50330, 56658, 53988, 68458, 52239, 50879, 50757, 50330, 52884, 50757, 50330, 54871, 52248, 51472, 50757, 50330, 50811, 72671, 54300, 51821, 54300, 51701, 51655, 50757, 50330, 52220, 78006, 50757, 50330, 52302, 50757, 50330, 54381, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 50757, 50330, 54496, 50757, 50330, 52952, 50757, 50330, 55092, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 50757, 50330, 54871, 52706, 50884, 50757, 50330, 50811, 50799, 52706, 50952, 54064, 51336, 50757, 50330, 52220, 78006, 52495, 50859, 50757, 50330, 52302, 50757, 50330, 54381, 52495, 51215, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51655, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50887, 50757, 50330, 51670, 71074, 53806, 52239, 50859, 50757, 50330, 51670, 71074, 58181, 52495, 50859, 50757, 50330, 52768, 52239, 50879, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 52495, 50859, 50757, 50330, 54871, 52239, 50859, 50757, 50330, 50811, 50799, 52248, 50952, 51821, 54300, 51701, 51336, 50757, 50330, 52220, 78006, 50757, 50330, 52302, 52248, 50952, 50757, 50330, 54381, 52269, 50879, 50757, 50330, 52968, 50757, 50330, 56658, 54047, 51388, 50429, 52248, 50952, 50757, 50330, 52726, 52449, 51294, 50757, 50330, 54496, 50757, 50330, 52952, 54064, 51655, 52016, 51655, 50757, 50330, 55092, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 50757, 50330, 54871, 52706, 50884, 50757, 50330, 50811, 50799, 52706, 50859, 50757, 50330, 52220, 78006, 52495, 50884, 50757, 50330, 52302, 52495, 50859, 50757, 50330, 54381, 52706, 50859, 50757, 50330, 52968, 52495, 50879, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 52706, 50859, 50757, 50330, 54496, 52495, 50859, 50757, 50330, 52952, 52239, 50887, 52233, 51336, 52091, 51336, 51678, 51336, 50757, 50330, 55092, 52239, 50879, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 52495, 50879, 50757, 50330, 52768, 50757, 50330, 56658, 53988, 68458, 53022, 50859, 50757, 50330, 52884, 52495, 50879, 50757, 50330, 54871, 50757, 50330, 50811, 50799, 52706, 51294, 52016, 52392, 51821, 52392, 51701, 51655, 51612, 51013, 50757, 50330, 52220, 78006, 50757, 50330, 52302, 50757, 50330, 54381, 50757, 50330, 52968, 52075, 51073, 50757, 50330, 56658, 54047, 51388, 50429, 50757, 50330, 52726, 50757, 50330, 54496, 50757, 50330, 52952, 52037, 51013, 50757, 50330, 55092, 50757, 50330, 51670, 71074, 53806, 50757, 50330, 51670, 71074, 58181, 50757, 50330, 52768, 52792, 51013, 50757, 50330, 56658, 53988, 68458, 50757, 50330, 52884, 50757, 50330, 54871, 50757, 50330, 50811, 50799, 54064, 51472, 52016, 51336, 51678, 51655, 52290, 51336, 51098, 61025, 51073, 52574, 51367, 50879, 51039, 54818, 52239, 50879, 50903, 54047, 51388, 50432, 52248, 52189, 55486, 52681, 61025, 59646, 52606, 51336, 52072, 51336, 51930, 74120, 57681, 50903, 50884, 52129, 50879, 77653, 50887, 51955, 53988, 68458, 52681, 50884, 51930, 55433, 52681, 50952, 51930, 51158, 50799, 52681, 50952, 54064, 51336, 52016, 51336, 51821, 51655, 51261, 66150, 68760, 53829, 52681, 52189, 57851, 52681, 71727, 51261, 51013, 50903, 54047, 51388, 50432, 52248, 60181, 55486, 50798, 59646, 52233, 51336, 51701, 51336, 51140, 76909, 57681, 50903, 53806, 52681, 63388, 50879, 77653, 55268, 52248, 65465, 53988, 57241, 52248, 50879, 50799, 52239, 51896, 54064, 54300, 52606, 51655, 51678, 51655, 51678, 51655, 51930, 61025, 68760, 59912, 50887, 51768, 54047, 51388, 51361, 55486 ]

[ 0, 250, 765, 15855, 37903, 4246, 10, 13305, 6, 31391, 1672, 9590, 6, 8, 38668, 11212, 6, 2351, 10, 2635, 6, 2933, 6, 8, 5679, 26709, 5466, 10686, 13, 822, 4, 20, 2125, 16, 11, 230, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 12447, 1001, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50449, 52584, 50860, 60160, 54554, 53369, 50860, 51515, 62183, 52993, 50823, 57788, 70937, 52769, 50860, 51434, 58691, 54144, 56250, 52806, 50860, 59480, 60271, 51440, 66426, 55298, 50811, 51094, 50314, 55534, 52557, 50817, 51773, 58860, 50740, 50285, 52057, 50740, 50285, 57795, 52769, 50802, 51434, 53798, 52993, 50860, 57788, 62183, 54144, 50860, 59480, 67897, 52806, 50860, 51440, 65836, 57058, 50860, 64538, 61046, 52745, 50860, 51808, 66426, 55301, 50811, 66629, 50811, 51607, 50811, 61592, 58099, 50740, 50288, 57784, 50740, 50288, 57795, 52769, 50860, 51434, 50823, 52993, 50802, 57788, 62183, 52806, 50802, 51440, 50802, 54144, 50802, 59480, 58691, 64538, 50802, 57058, 61046, 52745, 50860, 51808, 66426, 55301, 50811, 61592, 50811, 66629, 50811, 51607, 58099, 52993, 50860, 57788, 53537, 52769, 50860, 51434, 71355, 54144, 50802, 59480, 60280, 52806, 71692, 51440, 52030, 64538, 65174, 57058, 62751, 51808, 50860, 52745, 74089, 61592, 57784, 55301, 52952, 51774, 50811, 51607, 57795, 51515, 50860, 52584, 50860, 60160, 54554, 53369, 62183, 52769, 50860, 51434, 50976, 57788, 50802, 52993, 65836, 54144, 50802, 59480, 61046, 52806, 50860, 51440, 66426, 61615, 50811, 76759, 50811, 51773, 50811, 55298, 52630, 57697, 57880, 57697, 57795, 53369, 50860, 52584, 50823, 60160, 53798, 51515, 72477, 52993, 50860, 57788, 55680, 52769, 70937, 51434, 55273, 54144, 50860, 59480, 58691, 52806, 61046, 51440, 78423, 55298, 56771, 61615, 50823, 76759, 58197, 51773, 59236, 51614, 50803, 57435, 50803, 59212, 63541, 51669, 58099, 60160, 54675, 53369, 50823, 51515, 50823, 52584, 60280, 52769, 50860, 57788, 50802, 52993, 66605, 51434, 65174, 59480, 59898, 52806, 50860, 51440, 50860, 54144, 66519, 61615, 50803, 55298, 52057, 52557, 50803, 51773, 57276, 51614, 50823, 57435, 50823, 59212, 56695, 51669, 63816, 60160, 50823, 52584, 53798, 51515, 66054, 53369, 71524, 52993, 50860, 57788, 67897, 52769, 50860, 51434, 58691, 54144, 50860, 59480, 60271, 52806, 50860, 51440, 66426, 55298, 50811, 61615, 50811, 51601, 52557, 50811, 51773, 58860, 67314, 52952, 67314, 57795, 52769, 50860, 51434, 54554, 52993, 50860, 57788, 72477, 52806, 62183, 51440, 50860, 54144, 70937, 59480, 65836, 52745, 50860, 51808, 50860, 57058, 50860, 64538, 66426, 51774, 50811, 51607, 50811, 55301, 50811, 61592, 50811, 60212, 56035, 78422, 56035, 57891, 52993, 54554, 51434, 50823, 52769, 50823, 57788, 62183, 54144, 70937, 52806, 50860, 51440, 50802, 59480, 65836, 57058, 56575, 52745, 50860, 51808, 50860, 64538, 50860, 66629, 50811, 51607, 50803, 55301, 50811, 61592, 58099, 52993, 50860, 57788, 53537, 52769, 50860, 51434, 71355, 59480, 55396, 54144, 66605, 52806, 50860, 51440, 50976, 50433, 57058, 50860, 64538, 62751, 51808, 50802, 52745, 66519, 55301, 50811, 61592, 52952, 51774, 50811, 51607, 59788, 52584, 67976, 53369, 50860, 60160, 54554, 51515, 62183, 52769, 50860, 51434, 50802, 52993, 50823, 57788, 50976, 54144, 52884, 54144, 65836, 59480, 61046, 52806, 50823, 51440, 62181, 51773, 50803, 52557, 50811, 55298, 50811, 61615, 50811, 60212, 50740, 50288, 57880, 50740, 50288, 50811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 33928, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 20535, 2810, 6, 23338, 33518, 1264, 6, 3459, 8669, 6, 8, 326, 5638, 18026, 4, 20, 33301, 7630, 6568, 10, 12298, 1619, 4780, 6, 20307, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 5, 46336, 3184, 29769, 198, 5, 40286, 230, 6, 272, 406, 6, 230, 406, 6, 274, 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 ]

[ 57333, 56020, 51683, 50810, 51898, 51973, 51648, 50802, 51723, 62751, 51683, 50803, 51898, 52057, 51273, 51745, 51322, 51362, 51547, 51362, 51229, 51362, 51334, 51362, 52099, 50802, 51431, 50860, 68041, 60635, 52099, 50803, 51431, 52116, 51648, 50802, 51723, 61046, 51683, 50803, 51898, 50803, 53458, 51483, 51322, 50940, 51256, 50940, 51209, 50940, 51408, 50940, 51906, 50802, 52039, 53236, 52995, 58235, 51906, 50803, 52334, 51973, 51098, 51483, 51322, 50940, 51256, 50940, 51209, 50940, 51408, 50940, 51683, 50802, 52039, 57996, 60063, 51906, 50803, 52334, 52057, 51522, 51483, 51366, 50940, 51674, 50893, 51408, 50940, 51934, 50940, 52425, 50802, 52211, 53236, 52995, 57854, 51683, 50803, 52039, 52116, 51522, 51138, 51366, 50940, 51674, 50893, 51408, 50940, 51934, 50940, 51906, 50802, 52334, 57996, 60203, 51098, 51237, 51913, 51066, 53808, 50993, 71012, 50895, 76308, 50940, 51229, 50940, 51334, 75249, 51913, 50803, 51509, 51973, 51522, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51913, 50802, 51509, 57996, 57535, 52103, 50803, 51431, 52057, 51098, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 51913, 50802, 51509, 53236, 52995, 60635, 52103, 50803, 51431, 52116, 51705, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 51913, 50802, 51509, 53451, 50895, 57688, 50895, 57857, 50895, 53061, 50839, 55350, 61250, 50804, 53268, 50804, 57077, 50804, 57110, 51913, 50803, 51509, 51779, 50825, 52198, 50908, 55985, 50908, 56483, 51258, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51913, 50802, 51509, 50860, 58995, 51467, 52302, 76865, 53951, 50895, 53327, 52265, 52194, 51066, 51150, 51932, 51334, 51227, 52306, 51066, 52629, 51066, 53431, 52885, 52267, 52178, 50811, 51261, 51010, 51408, 50890, 52366, 50811, 52336, 52279, 53851, 52377, 50811, 51522, 51010, 51674, 50858, 52747, 50811, 52264, 52279, 52568, 51702, 50811, 51140, 51010, 51256, 50890, 72555, 51509, 52279, 54085, 51968, 50811, 51560, 51010, 51772, 50890, 70657, 51641, 52279, 52193, 51702, 50823, 51140, 51045, 51256, 50940, 51713, 50823, 51509, 52865, 50817, 56020, 51850, 51973, 51850, 62751, 51850, 52057, 52527, 63999, 51760, 50803, 52612, 53068, 51756, 53451, 60203, 51756, 51352, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53150, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 68067, 59871, 51702, 73473, 50803, 51431, 52952, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53409, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 50903, 51663, 60427, 51702, 73473, 50803, 51431, 54046, 50841, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 60480, 51850, 51973, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51850, 57996, 59871, 51850, 52229, 53116, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52527, 53236, 53864, 61312, 51760, 52229, 53083, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51756, 60894, 51663, 60427, 53037, 52229, 50841, 60200, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 52213, 53236, 53864, 60480, 51756, 51973, 51930, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 51760, 57996, 59871, 52527, 51352, 50856, 53116, 51389, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 58732, 53864, 61312, 51702, 73473, 50817, 51431, 52768, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 50903, 51663, 50884, 54820, 50841, 50799, 51702, 50811, 51261, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51913, 50817, 51431, 51520, 53864, 50884, 56400, 52870, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51850, 65900, 59871, 51992, 53925, 51793, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 52943, 54482, 53864, 61312, 52943, 53798, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51992, 77297, 51663, 60427, 51850, 54286, 50841, 54204, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51760, 54482, 53864, 60480, 51850, 53537, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 51992, 65900, 59871, 52943, 73018, 51793, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 58732, 53864, 61312, 51702, 50817, 51913, 50817, 51431, 52768, 51389, 51483, 51256, 50940, 51674, 50858, 51408, 50940, 51390, 50940, 50903, 51663, 50884, 54820, 50841, 50799, 51702, 50803, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51913, 50803, 51431, 51520, 53864, 60480, 51850, 53537, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51850, 65900, 59871, 51850, 54286, 53116, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52527, 54482, 53864, 61312, 51760, 54286, 53083, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 51756, 77297, 51663, 60427, 51756, 51184, 50856, 50841, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53150, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 68067, 59871, 51702, 50817, 51913, 50811, 51431, 54046, 53116, 51150, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 53409, 51216, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 50903, 51663, 60427, 51702, 50817, 51913, 50811, 51431, 54046, 50841, 53788, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51334, 58732, 53864, 60480, 51756, 54286, 52870, 51150, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51334, 50940, 51760, 65900, 59871, 51756, 53925, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 52527, 54482, 53864, 61312, 51760, 53798, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52031, 50940, 51756, 77297, 51663, 60427, 52280, 55415, 50841, 54204, 51483, 51256, 50940, 51408, 50940, 51390, 58732, 53864, 60480, 52280, 53537, 51261, 51483, 51256, 50940, 51408, 50940, 51390, 50940, 51756, 65900, 59871, 52280, 53925, 51150, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51934, 50940, 52840, 54482, 53864, 61312, 51756, 53798, 51150, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51934, 50940, 52280, 77297, 51663, 60427, 52213, 55415, 50841, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 58732, 53864, 60480, 52213, 53537, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52280, 65900, 59871, 52721, 54286, 53116, 51461, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 51756, 54482, 53864, 61312, 51756, 54286, 53083, 51461, 51483, 51366, 50940, 51674, 50858, 51408, 50940, 51334, 50940, 53037, 77297, 51663, 61160, 50856, 58323, 52387, 62181, 50798, 53864, 50884, 53202, 51483, 51256, 50940, 51229, 50940, 51334, 50940, 52861, 58583, 52995, 52992, 51140, 51483, 51256, 50940, 51229, 50940, 51334, 56956, 52995, 54292, 52194, 50860, 51461, 51483, 51366, 50940, 51209, 50940, 51408, 50940, 51334, 50940, 51713, 50860, 51898, 50860, 52067, 53236, 53966, 53498, 57854, 52148, 50803, 51683, 50803, 53808, 50803, 51744, 51779, 53068, 52377, 50860, 51461, 51138, 51366, 50858, 51209, 50858, 51408, 50858, 51334, 50858, 52310, 50860, 53709, 50860, 51641, 53451, 60203, 51702, 50803, 51140, 50950, 51256, 50895, 51229, 50895, 51334, 50895, 51390, 50895, 51913, 50803, 53689, 50803, 51485, 51520, 51463, 50817, 56020, 51850, 51973, 51850, 62751, 51850, 52057, 52527, 63999, 51760 ]

[ 0, 713, 14899, 5175, 2214, 6, 30291, 19, 3495, 4785, 6, 1575, 10, 20902, 3222, 5785, 9, 17605, 9590, 6, 32909, 6, 13305, 6, 3459, 8669, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 24, 1931, 21683, 10, 15352, 30054, 8, 33558, 16464, 6, 1969, 13, 2365, 50, 3618, 9629, 4, 20, 204, 73, 306, 86, 6543, 4719, 5, 12989, 5204, 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 ]

[ 57739, 50796, 77631, 50862, 51660, 50862, 51944, 53630, 58888, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 51660, 50862, 51944, 53894, 52435, 50862, 51660, 50862, 51944, 53630, 53239, 52435, 50862, 51660, 50862, 51944, 53938, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 53563, 52435, 50862, 51660, 50862, 51944, 50862, 77631, 50862, 52027, 50862, 51944, 53630, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 52027, 50862, 51944, 53894, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 61587, 69144, 52768, 52435, 50862, 52027, 50862, 51944, 50862, 60927, 51359, 77247, 53563, 52435, 50862, 52027, 50862, 51944, 58738, 50820, 77631, 50862, 51660, 50862, 51944, 53630, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 51660, 50862, 51944, 53894, 52435, 50862, 51660, 50862, 51944, 53630, 53239, 52435, 50862, 51660, 50862, 51944, 53938, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 53563, 52435, 50862, 51660, 50862, 51944, 50854, 77631, 50862, 52027, 50862, 51944, 53630, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 52027, 50862, 51944, 53894, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 53533, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 54944, 60915, 70332, 69577, 52643, 52435, 50862, 52027, 50862, 51944, 58738, 51437, 50846, 51621, 57962, 69577, 51274, 77631, 50854, 51660, 50862, 51944, 53630, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50862, 51660, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 51660, 50862, 51944, 54181, 52435, 50862, 51660, 50862, 51944, 53590, 53239, 52435, 50862, 51660, 50862, 51944, 54276, 52435, 50862, 51660, 50862, 51944, 53590, 56289, 51041, 52193, 52435, 50862, 51660, 50862, 51944, 50854, 77631, 50862, 52027, 50862, 51944, 53630, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50854, 52027, 50862, 51944, 53630, 56289, 51041, 52265, 52435, 50862, 52027, 50862, 51944, 53894, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 51239, 52568, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 51041, 52193, 52435, 50862, 52027, 50862, 51944, 58738, 51437, 54359, 51068, 52465, 50846, 77631, 50854, 51660, 50862, 51944, 68524, 51449, 51350, 51151, 51659, 68835, 53576, 52435, 50862, 51660, 50862, 51944, 53901, 52435, 50854, 51660, 50862, 51944, 53590, 56289, 52975, 52435, 50854, 51660, 50862, 51944, 54181, 52435, 50862, 51660, 50862, 51944, 53590, 53239, 52435, 50862, 51660, 50862, 51944, 54276, 52435, 50862, 51660, 50862, 51944, 53590, 56289, 53563, 52435, 50862, 51660, 50862, 51944, 50854, 77631, 50862, 52027, 50862, 51944, 50862, 51659, 52335, 51729, 52335, 51513, 52335, 50798, 53576, 52435, 50862, 52027, 50862, 51944, 53901, 52435, 50862, 52027, 50862, 51944, 53630, 56289, 52975, 52435, 50862, 52027, 50862, 51944, 54181, 52435, 50862, 52027, 50862, 51944, 53630, 53239, 52435, 50862, 52027, 50862, 51944, 56112, 51068, 53533, 52435, 50862, 52027, 50862, 51944, 50862, 69577, 50993, 52314, 51030, 67580, 51030, 77247, 53563, 52435, 50862, 52027, 50862, 51944, 58738, 50820, 77631, 50862, 51660, 50862, 51944, 50862, 65141, 51653, 55160, 51653, 51729, 52069, 51350, 51307, 51659, 51313, 53752, 58888, 53336, 52435, 50862, 51660, 50862, 51944, 50862, 55239, 52435, 50862, 51660, 50862, 51944, 50862, 53797, 51227, 54289, 51227, 52243, 51502, 53479, 54724, 51239, 52927, 52435, 50862, 51660, 50862, 51944, 50862, 57974, 52435, 50862, 51660, 50862, 51944, 50862, 55393, 51235, 57953, 51235, 53752, 53239, 52435, 50862, 51660, 50862, 51944, 50862, 67115, 55022, 51160, 59254, 67424, 52435, 50862, 51660, 50862, 51944, 53630, 61295, 53479, 54724, 51239, 53173, 52435, 50862, 51660, 50862, 51944, 50862, 51468, 77631, 50862, 52027, 50862, 51944, 50862, 65141, 50882, 55160, 50882, 51729, 51749, 51513, 51448, 51659, 51535, 53752, 53576, 52435, 50862, 52027, 50862, 51944, 50862, 65141, 50821, 55160, 50821, 55239, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50821, 54289, 52589, 61295, 53479, 54724, 51239, 52927, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50809, 54289, 51421, 53439, 55393, 50921, 57953, 56360, 52435, 50862, 52027, 50862, 51944, 53630, 51239, 55201, 51513, 50836, 51659, 50841, 51355, 52510, 52435, 50862, 52027, 50862, 51944, 50862, 51513, 50855, 51659, 50836, 51355, 60561, 51239, 53528, 51513, 50837, 51659, 50820, 51355, 54094, 53533, 52435, 50862, 52027, 50862, 51944, 50862, 52314, 51021, 67580, 51138, 51513, 50886, 51659, 50813, 51355, 52923, 61295, 53479, 51041, 57150, 75461, 52920, 52435, 50862, 52027, 50862, 51944, 54597, 56289, 51239, 50825, 52198, 53934, 50820, 77631, 50862, 51660, 50862, 51944, 50862, 65141, 51653, 55160, 51653, 51729, 53142, 51350, 52222, 51659, 52062, 53752, 53576, 52435, 50862, 51660, 50862, 51944, 50862, 55239, 52435, 50862, 51660, 50862, 51944, 50862, 53797, 51227, 54289, 51227, 52243, 51502, 53479, 68732, 52927, 52435, 50862, 51660, 50862, 51944, 50862, 57974, 52435, 50862, 51660, 50862, 51944, 50862, 55393, 51235, 57953, 51235, 53752, 53239, 52435, 50862, 51660, 50862, 51944, 50862, 67115, 55022, 51160, 59254, 67424, 52435, 50862, 51660, 50862, 51944, 53630, 61295, 53479, 68732, 53173, 52435, 50862, 51660, 50862, 51944, 76583, 50958, 50820, 77631, 50862, 52027, 50862, 51944, 50862, 65141, 50882, 55160, 50882, 51729, 51677, 51513, 51422, 51659, 51422, 53752, 53576, 52435, 50862, 52027, 50862, 51944, 50862, 65141, 50821, 55160, 50821, 55239, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50821, 54289, 52589, 61295, 53479, 68732, 52927, 52435, 50862, 52027, 50862, 51944, 50862, 53797, 50809, 54289, 51421, 53439, 55393, 50921, 57953, 56360, 52435, 50862, 52027, 50862, 51944, 53630, 51239, 53239, 52435, 50862, 52027, 50862, 51944, 50862, 67115, 51068, 53711, 52435, 50862, 52027, 50862, 51944, 53630, 61295, 53479, 68732, 53173, 52435, 50862, 52027, 50862, 51944, 58738, 51041, 54778, 50891, 77631, 50854, 51660, 50862, 51944, 50862, 65141, 51653, 55160, 51653, 51729, 51939, 51350, 51486, 51659, 51592, 53752, 53576, 52435, 50862, 51660, 50862, 51944, 50862, 51744, 50855, 52314, 50809, 53147, 50836, 62446, 51744, 50862, 52314, 50836, 53147, 54156, 52435, 50862, 51660, 50862, 51944, 50862, 53797, 51227, 54289, 51227, 51744, 50839, 52314, 50813, 53147, 54200, 61295, 53479, 68732, 54660, 52314, 51111, 53147, 51060, 51744, 54259, 52435, 50862, 51660, 50862, 51944, 50854, 57974, 52435, 50862, 51660, 50862, 51944, 50854, 55393, 51235, 57953, 51235, 51744, 50836, 52314, 50887, 53147, 52259, 51239, 55201, 52314, 50855, 53147, 50855, 51744, 54840, 52435, 50862, 51660, 50862, 51944, 50854, 52314, 50855, 53147, 50855, 51744, 51437, 53528, 55022, 51160, 59254, 51160, 53147, 51290, 51744, 51048, 52314, 77225, 52435, 50862, 51660, 50862, 51944, 53590, 61295, 53479, 68732, 53173, 52435, 50862, 51660, 50862, 51944, 76583, 50958, 50820, 77631, 50862, 52027 ]

[ 0, 250, 19834, 15229, 19, 15855, 4785, 6, 42, 765, 2214, 7630, 6568, 10, 25306, 5466, 6, 10686, 13, 10, 1619, 822, 4, 27901, 41, 12547, 9, 2370, 21305, 6, 32909, 6, 38668, 20535, 6, 17691, 28430, 6, 8, 5921, 3343, 1290, 642, 5255, 6, 24, 11498, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 4, 8504, 11, 5, 762, 9, 83, 538, 6, 5, 2125, 25935, 1626, 227, 5, 40286, 9, 381, 8, 83, 6, 2351, 10, 1472, 9, 9066, 2821, 16235, 8, 32076, 814, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55763, 50802, 52061, 50802, 52324, 51004, 50415, 52324, 51004, 50416, 52324, 51004, 50417, 52324, 51004, 50418, 52324, 77940, 52324, 54303, 52334, 50811, 71555, 52324, 73768, 52324, 73435, 52211, 50823, 52264, 50823, 52324, 58362, 52324, 75730, 52324, 67726, 52324, 53356, 52211, 51009, 52264, 51009, 50713, 50288, 50802, 64011, 50802, 52324, 50982, 52650, 63726, 52324, 50982, 50428, 52324, 50982, 52890, 57860, 52324, 50982, 53267, 63341, 52324, 66775, 52324, 50982, 52566, 53860, 50713, 50288, 50811, 64011, 50811, 52324, 50982, 52697, 65312, 52324, 65627, 50713, 50288, 50823, 64011, 50823, 52324, 50928, 53260, 56579, 52324, 50928, 53000, 58853, 52324, 60622, 52324, 50928, 53039, 52781, 50713, 50288, 50824, 64011, 50824, 52324, 50928, 53436, 62255, 52324, 50928, 50440, 52324, 50928, 54428, 59397, 52324, 50928, 53647, 64781, 52324, 68211, 52324, 50928, 54723, 54465, 52324, 50928, 55802, 62426, 52324, 60966, 52324, 50908, 55372, 55761, 52324, 50908, 57545, 59787, 52324, 61244, 52324, 50908, 59202, 50809, 51034, 55763, 50802, 52061, 50802, 52324, 50908, 57545, 59980, 52324, 50908, 50416, 52324, 50908, 55372, 54745, 52324, 50908, 55802, 61292, 52324, 67945, 52324, 50908, 54723, 54402, 52334, 50811, 71555, 52324, 50891, 53647, 64355, 52324, 58640, 52211, 50823, 52264, 50823, 52324, 50891, 54428, 56076, 52324, 50891, 53436, 62782, 52324, 59509, 52324, 50891, 53039, 53901, 52211, 51009, 52264, 51009, 50713, 50288, 50802, 64011, 50802, 52324, 50891, 53000, 65450, 52324, 74031, 52324, 50891, 53260, 55863, 52324, 50891, 52697, 60155, 52324, 62000, 52324, 50870, 52566, 53705, 50713, 50288, 50811, 64011, 50811, 52324, 50870, 53267, 64938, 52324, 59516, 50713, 50288, 50823, 64011, 50823, 52324, 50870, 52890, 56030, 52324, 50870, 52650, 64042, 52324, 57892, 52324, 50870, 53118, 53945, 50713, 50288, 50824, 64011, 50824, 52324, 60470, 52324, 73052, 52324, 56432, 52324, 61118, 52324, 63938, 52324, 53325, 52324, 60479, 52324, 58394, 52324, 54673, 52324, 61333, 52324, 57989, 52324, 50863, 57333, 55763, 50802, 52061, 50802, 64552, 50824, 52324, 50863, 52650, 65707, 52324, 76965, 52324, 50863, 52890, 58671, 52324, 50863, 53267, 64305, 52324, 64159, 52324, 50837, 52566, 55105, 52334, 50811, 71555, 52324, 50837, 52697, 65643, 52324, 59136, 52211, 50823, 52264, 50823, 52324, 50837, 53260, 56133, 52324, 50837, 53000, 58304, 52324, 58964, 52324, 50837, 53039, 52524, 53709, 50823, 51641, 50823, 79588, 50824, 58353, 50824, 52324, 50837, 53436, 65450, 52324, 66518, 52324, 50837, 54428, 58511, 52324, 50825, 53647, 61218, 52334, 50823, 51509, 50823, 52324, 59277, 52324, 50825, 54723, 53695, 52324, 50825, 55802, 62089, 52324, 56446, 53437, 50823, 52314, 50823, 52324, 50825, 55372, 55782, 52324, 50825, 57545, 59079, 52324, 57514, 52324, 50825, 59202, 52444, 53437, 50823, 52314, 50823, 69490, 50824, 53367, 50824, 52324, 50825, 57545, 59360, 52324, 62969, 52324, 50835, 55372, 54790, 52324, 50835, 55802, 62438, 52211, 50823, 52264, 50823, 52324, 60862, 52324, 50835, 54723, 54465, 52324, 50835, 53647, 62426, 52324, 59279, 51898, 50823, 52067, 50823, 52324, 50835, 54428, 57012, 52324, 50835, 53436, 64457, 52324, 58145, 52324, 50835, 53039, 53938, 53437, 50802, 52314, 50802, 64552, 50824, 57246, 50824, 52324, 50835, 53000, 65780, 52324, 64314, 52324, 50829, 53260, 55726, 52324, 50829, 52697, 61192, 52324, 58677, 52324, 50829, 52566, 54199, 77696, 79121, 52324, 50829, 53267, 67321, 52324, 57059, 52061, 50823, 55078, 50823, 52324, 50829, 52890, 57490, 52324, 50829, 52650, 67205, 52324, 56172, 52324, 50829, 53118, 50864, 50799, 52211, 50802, 52264, 50802, 79588, 50824, 58353, 50824, 52324, 50834, 52650, 65707, 52324, 67553, 52324, 50834, 52890, 58671, 52324, 50834, 53267, 64305, 52324, 63222, 52324, 50834, 52566, 55105, 77696, 79121, 52324, 50834, 52697, 65643, 52324, 57240, 52298, 50823, 53147, 50823, 52324, 50834, 53260, 56133, 52324, 50834, 53000, 58304, 52324, 58405, 52324, 50834, 53039, 52524, 51723, 50823, 52336, 50823, 52324, 50820, 53436, 65450, 52324, 59551, 52324, 50820, 54428, 58511, 52324, 50820, 52324, 50820, 53647, 61218, 52298, 50823, 53147, 50823, 52324, 56657, 52324, 50820, 54723, 53695, 52324, 50820, 52324, 50820, 55802, 62089, 52324, 56565, 52061, 50823, 55078, 50823, 52324, 50820, 55372, 55782, 52324, 50820, 52324, 50820, 57545, 59079, 52324, 56305, 52324, 50839, 59202, 52444, 70166, 60928, 51009, 53774, 51009, 52324, 50839, 52324, 50839, 57545, 59360, 70166, 52324, 50839, 60409, 51004, 52324, 50839, 55372, 50809, 53012, 51004, 52324, 50839, 55802, 50840, 55258, 51004, 52324, 60371, 50804, 50982, 52324, 50839, 54723, 50836, 54141, 50982, 52324, 50839, 53647, 62426, 50804, 50982, 52324, 50839, 53526, 50928, 52324, 50839, 54428, 50855, 52612, 50928, 52324, 50839, 53436, 50855, 57471, 50908, 52324, 50841, 57048, 50908, 52324, 50841, 53039, 50862, 51382, 50891, 52324, 50841, 53000, 50862, 57688, 50870, 52324, 50841, 57857, 50870, 52324, 50841, 53260, 50813, 53061, 54839, 50863, 52324, 50841, 52697, 50857, 55350, 50837, 52324, 60233, 50804, 50825, 52324, 50841, 52566, 54199, 50804, 54518, 50829, 52324, 50841, 53267, 50867, 65694, 50834, 52324, 50841, 54124, 50820, 52324, 50841, 52890, 50867, 52198, 53966, 50841, 52324, 50828, 52650, 50886, 55985, 50846, 52324, 50828, 56483, 50818, 52324, 50828, 53118, 50864, 54458, 57184, 55560, 54285, 53497, 67256, 55456, 51907, 50387, 53692, 56851, 50817, 75462, 51359, 50720, 50301, 51243, 62655, 51353, 58267, 51359, 54219, 51204, 52355, 51318, 59326, 51191, 53437, 50802, 51898, 50802, 51485, 50802, 52324, 50840, 61240, 59013, 52314, 51973, 63875, 50915, 57713, 50822, 51485, 51029, 52314, 51029, 52067, 51029, 52324, 61799, 61404, 64160, 52355, 50810, 53101, 50854, 59326, 59983, 50721, 50286, 51003, 57713, 68727, 50800, 53101, 50873, 55871, 51110, 52324, 59137, 56333, 55758, 50721, 50282, 50943, 57713, 50822, 53101, 50915, 55871, 51121, 51898, 50803, 73383, 52314, 50803, 52324, 50840, 55350, 50907, 77605, 54124, 50822, 59326, 50812, 73383, 50799, 63875, 51056, 57713, 68727, 50800, 69420, 51183, 65049, 51091, 52285, 51047, 52515, 51047, 55871, 51189, 51898, 51407, 52061, 51407, 51744, 51407, 52324, 50840, 52650, 71768, 52890, 58671, 53267, 66182, 52566, 55105, 52697, 60342, 50720, 50305, 50851, 58267, 50827, 53260, 56133, 53000, 60567, 53039, 52524, 50721, 50284, 50914, 57713, 50822, 52324, 50840, 53436, 67691, 54428, 58511, 53647, 61218, 50720, 50305, 50864, 58267, 50857, 65049, 50830, 60388, 50942, 50431, 54723, 53695, 55802, 59890, 50720, 50305, 50886, 58267, 50827, 65049, 50808, 59454, 50854, 55372, 55782, 57545, 58291, 59202, 50809, 51658, 53497, 68727, 50800, 69420, 50981, 50720, 50305, 50915, 58267, 50943, 52285, 51003, 52515, 50915, 55871, 50914, 52324, 50840, 57545, 59360, 63875, 50914, 50440, 55372, 54790, 55802, 59503, 54723, 54465, 53647, 60520, 54428, 57012, 53436, 61230, 53039, 53938, 57713, 50822, 69420, 51003, 58048, 51003, 52285, 51003, 51950, 50915, 58563, 50914, 55763, 50802, 53808, 50802, 52039, 50802, 51898, 50802, 52324, 50840, 53000, 65780, 63875, 50914, 50452, 53260, 55726, 52697, 50857, 55350, 78877, 52566, 54199, 53267, 50867, 54124, 50822, 50720, 50305, 50808, 50720, 50301, 50844 ]

[ 0, 4688, 9066, 5175, 2214, 19, 3152, 16882, 6, 4246, 10, 3741, 27374, 594, 6, 6755, 12547, 6, 38668, 22052, 6, 81, 9756, 8669, 6, 8, 3459, 9590, 6, 70, 8216, 7, 63, 2933, 8, 20425, 5466, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 12608, 6, 274, 6, 163, 428, 6, 12608, 6, 8, 274, 1271, 7, 63, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50799, 52907, 52503, 51301, 52121, 51113, 51717, 51357, 51801, 50799, 52776, 52988, 50953, 51313, 51098, 51748, 50799, 53215, 55597, 51011, 55408, 51216, 58728, 50796, 50799, 52907, 52727, 50945, 51313, 51140, 51748, 51034, 52776, 54573, 50953, 51662, 51098, 52528, 50799, 51883, 55597, 76008, 52419, 59384, 53829, 56414, 51216, 53172, 58337, 51493, 57594, 52927, 60908, 51098, 54137, 51069, 50821, 52419, 53507, 54586, 66777, 52419, 53794, 62865, 51493, 55345, 70803, 51098, 50838, 53285, 50806, 52419, 57594, 53336, 68584, 51216, 55035, 70498, 51493, 67240, 54151, 58918, 51098, 54233, 51069, 50821, 52419, 53507, 55186, 71668, 52419, 55125, 58337, 51493, 55345, 65082, 51098, 50901, 50799, 51887, 51922, 76008, 52419, 59384, 53829, 56414, 51216, 53172, 58337, 51493, 57594, 54562, 60908, 51098, 54137, 51069, 50821, 52419, 53507, 54586, 66777, 52419, 53794, 62865, 51493, 55345, 70803, 51098, 50838, 78936, 51449, 66777, 52419, 57594, 56051, 68584, 51216, 55035, 70498, 51493, 67240, 52975, 58918, 51098, 54233, 51069, 50821, 52419, 53497, 52893, 50884, 53012, 55186, 71668, 52419, 56369, 50895, 52612, 55254, 58337, 51493, 53946, 54210, 65082, 51098, 56369, 51031, 50799, 51883, 52720, 76008, 52419, 50901, 61644, 56562, 53837, 56051, 56414, 51216, 50845, 56066, 60445, 58337, 51493, 50849, 58789, 57361, 51135, 53644, 60908, 51098, 50905, 56316, 50936, 70658, 51069, 50821, 52419, 50812, 61644, 55146, 51239, 53806, 66777, 52419, 50849, 61644, 51030, 61741, 62865, 51493, 50873, 58789, 55404, 54357, 53650, 70803, 51098, 50838, 56316, 50936, 53752, 50818, 53285, 50806, 52419, 50849, 61644, 50948, 53752, 54031, 68584, 51216, 50901, 56066, 55271, 53150, 70498, 51493, 50974, 58789, 56155, 51135, 52975, 58918, 51098, 50873, 56316, 51030, 63193, 51069, 50821, 52419, 50812, 61644, 55146, 51135, 53675, 71668, 52419, 50901, 61644, 54444, 52396, 58337, 51493, 50873, 58789, 56155, 54501, 54210, 65082, 51098, 50901, 56316, 56214, 50884, 53285, 50879, 52419, 50901, 61644, 55271, 52816, 54031, 56414, 51216, 50845, 56066, 54444, 52437, 58337, 51493, 50849, 58789, 56214, 53338, 54151, 60908, 51098, 50905, 56316, 55271, 52565, 51069, 50821, 52419, 50812, 61644, 53690, 51044, 53885, 66777, 52419, 50849, 61644, 54444, 52396, 62865, 51493, 50873, 58789, 56155, 53843, 54450, 70803, 51098, 50838, 56316, 51030, 52358, 50884, 53285, 50806, 52419, 50849, 61644, 50948, 52902, 52432, 68584, 51216, 50901, 56066, 55271, 52437, 70498, 51493, 50974, 58789, 55404, 51139, 52209, 58918, 51098, 50873, 56316, 50936, 63193, 51069, 50821, 52419, 50812, 61644, 52374, 54739, 53239, 71668, 52419, 50901, 61644, 55271, 53595, 58337, 51493, 50873, 58789, 57361, 54357, 53563, 65082, 51098, 50901, 56316, 54444, 50883, 50799, 51887, 51671, 51154, 51353, 51201, 51243, 51284, 51353, 71668, 52419, 50901, 52724, 51655, 52230, 51036, 56549, 51036, 54470, 51655, 61644, 50948, 51206, 54162, 50895, 52103, 51307, 51913, 63560, 70994, 51216, 50901, 56066, 58292, 62865, 51493, 50901, 58789, 56214, 53338, 52975, 64483, 51098, 50901, 56316, 50936, 70658, 51069, 50858, 52419, 50854, 61644, 53690, 51135, 53806, 71668, 52419, 50901, 61644, 50936, 61741, 62865, 51493, 50901, 58789, 55404, 54501, 54210, 64483, 51098, 50901, 56316, 51030, 53752, 50818, 78936, 51449, 51088, 51353, 51182, 51313, 51558, 51151, 71668, 52419, 50901, 60565, 51036, 52118, 51264, 52508, 51264, 53874, 51655, 61644, 51030, 51335, 54906, 50884, 51963, 51359, 52310, 63560, 70994, 51216, 50901, 56066, 56832, 53150, 62865, 51493, 50901, 58789, 54444, 53479, 54151, 64483, 51098, 50901, 56316, 50948, 63193, 51384, 51080, 51069, 50858, 52419, 50854, 61644, 51864, 54162, 52210, 71668, 52419, 50901, 61644, 56832, 52396, 62865, 51493, 50901, 58789, 56155, 52942, 54210, 64483, 51098, 50901, 56316, 56832, 50884, 50799, 51883, 52720, 51113, 52122, 51304, 51801, 51733, 52121, 71668, 52419, 50901, 53854, 52024, 56024, 53002, 52760, 51492, 52345, 52024, 61644, 51021, 51206, 55130, 50884, 51913, 51307, 51683, 52024, 50420, 70994, 51216, 50901, 56066, 56214, 52437, 62865, 51493, 50901, 58789, 51021, 55737, 53644, 64483, 51098, 50901, 56316, 54444, 52565, 51069, 50858, 52419, 50854, 61644, 55146, 51044, 53885, 71668, 52419, 50901, 61644, 56832, 52396, 51107, 50995, 62865, 51493, 50901, 58789, 55404, 54357, 54210, 64483, 51098, 50901, 56316, 50936, 76935, 50895, 73296, 52122, 71668, 52419, 50901, 61644, 50948, 53752, 52432, 70994, 51216, 50901, 56066, 55271, 52437, 62865, 51493, 50901, 58789, 56832, 52572, 54562, 64483, 51098, 50901, 56316, 51030, 63193, 51069, 50858, 52419, 50854, 61644, 55146, 51135, 53806, 71668, 52419, 50901, 61644, 54444, 53595, 62865, 51493, 50901, 58789, 67451, 53479, 55891, 64483, 51098, 50901, 56316, 56214, 50883, 50799, 51887, 51922, 51154, 51313, 51201, 51151, 51284, 51353, 71668, 52419, 50901, 54470, 51307, 52230, 51264, 56549, 51655, 52724, 51036, 61644, 51021, 51335, 54162, 50846, 52103, 51036, 51913, 74258, 70994, 51216, 50901, 56066, 57327, 62865, 51493, 50901, 58789, 56155, 51139, 53644, 64483, 51098, 50901, 56316, 51030, 70658, 51069, 50858, 57849, 51129, 52419, 50854, 61644, 51864, 54739, 53806, 71668, 57849, 51129, 52419, 50901, 61644, 50936, 52093, 50448, 57849, 55038, 62865, 51493, 50901, 58789, 71541, 53479, 56246, 57849, 56077, 64483, 51098, 50901, 56316, 50936, 52620, 56637, 57849, 51129, 63441, 51293, 51182, 51151, 51558, 51353, 51699, 51243, 71668, 52419, 50901, 53874, 51264, 60565, 51264, 52508, 51696, 52118, 51264, 61644, 50948, 51206, 54162, 50846, 51963, 51359, 52310, 63560, 70994, 51216, 50901, 56066, 54444, 53150, 62865, 51493, 50901, 58789, 56832, 53479, 53644, 64483, 51098, 50901, 56316, 51030, 52112, 50434, 57849, 55379, 51384, 51047, 51069, 50858, 57849, 51129, 52419, 50854, 61644, 55146, 51187, 61194, 57849, 57536, 71668, 52419, 50901, 61644, 54444, 52396, 62865, 51493, 50901, 58789, 50948, 64084, 54944, 57849, 56077, 64483, 51098, 50901, 56316, 55271, 60427, 57849, 51129, 64554, 52121, 51304, 52337, 51733, 52121, 51883, 52829, 71668, 52419, 50901, 53854, 54454, 52345, 54454, 56024, 51264, 52760, 53363, 61644, 50948, 52243, 51865, 50961, 51913, 51492, 51683, 52250, 50420, 70994, 51216, 50901, 56066, 56832, 52437, 62865, 51493, 50901, 58789, 50936, 54074, 53644, 64483, 51098, 50901, 56316, 56214, 52565, 51069, 50858, 52419, 50854, 61644, 53662, 51187, 53885, 71668, 52419, 50901, 61644, 54444, 52396, 62865, 51493, 50901, 58789, 51138, 64084, 54450, 64483, 51098, 50901, 56316, 51030, 53752, 50884, 56483, 50949, 53285, 50893, 50713, 50349, 50936, 72963, 50948, 52419, 50901, 56024, 50938, 61644, 56780, 51139, 52432, 70994, 50713, 50349, 50936, 72963, 50936, 51216, 50901, 53854, 50865, 56066, 50936, 52358, 52437, 62865, 50713, 50344, 50936, 63548, 50936, 51493, 50901, 56165, 50840, 58789, 56832, 52816, 59476, 50804, 55649, 64483, 67499, 50948, 50713, 50347, 50936, 51098, 50901, 53874, 50938, 56316, 50948, 72711, 53294, 51069, 50858, 72963, 50948, 50713, 50349, 50936, 52419, 50854, 56024, 50924, 61644, 54451, 51239, 53806, 71668, 50713, 50349, 50936, 72963, 50936, 52419, 50901, 56024, 50865, 61644, 51021, 52358, 53595, 62865, 50713, 50344, 51016, 63548, 51016, 51493, 50901, 56165, 50924, 58789, 50948, 64084 ]

[ 0, 713, 15352, 30054, 5175, 2214, 11, 163, 538, 1575, 10, 38668, 483, 6, 1076, 560, 31365, 25999, 6, 32909, 6, 3459, 8669, 6, 8, 36075, 8669, 6, 2351, 10, 1372, 8, 20425, 5466, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 1814, 13410, 228, 2289, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 381, 6, 163, 401, 6, 230, 10431, 6, 274, 10431, 6, 8, 163, 4, 20, 2365, 8, 33558, 23338, 293, 146, 24, 10686, 13, 1337, 9629, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50796, 53012, 52284, 50804, 52911, 50801, 64978, 52163, 50804, 50803, 52198, 50803, 50799, 69423, 62625, 51052, 63301, 50763, 50349, 58387, 69423, 57328, 62791, 50763, 50349, 57328, 58844, 69423, 68001, 51052, 65472, 69423, 57378, 50763, 50349, 57328, 59037, 69423, 57328, 61929, 69423, 62625, 51052, 60887, 69423, 62232, 50763, 50349, 57328, 58068, 69423, 57328, 59038, 69423, 68001, 51052, 59835, 69423, 60272, 50763, 50349, 51128, 53673, 50459, 69423, 57328, 51123, 50799, 69423, 62625, 51052, 62227, 50763, 50349, 62625, 52244, 69423, 51128, 53673, 50423, 50763, 50349, 57328, 57252, 69423, 68001, 51052, 58519, 69423, 57378, 50763, 50349, 51128, 53673, 50435, 69423, 57328, 58604, 69423, 62625, 51052, 55608, 69423, 62232, 50763, 50349, 62625, 51052, 60979, 69423, 51128, 53673, 50450, 69423, 68001, 51052, 55371, 69423, 60272, 50763, 50349, 57328, 58247, 69423, 57328, 51123, 53400, 50811, 69423, 62625, 51052, 62227, 64048, 50763, 50349, 58387, 64048, 51849, 50829, 51854, 50857, 52294, 50867, 54674, 50829, 55320, 50857, 50679, 50332, 50867, 69423, 57328, 57079, 50763, 50349, 57328, 57252, 69423, 68001, 51052, 56739, 69423, 57378, 64343, 51849, 50834, 51854, 50820, 52294, 50835, 55320, 50820, 54674, 50834, 50679, 50332, 50835, 50763, 50349, 57328, 59037, 62792, 69423, 57328, 51123, 56903, 50811, 69423, 62625, 51052, 60887, 69423, 62232, 64048, 51529, 50820, 51854, 50820, 53289, 50841, 55320, 50820, 53990, 50820, 62732, 50841, 50763, 50349, 57328, 58068, 69423, 57328, 59038, 61149, 69423, 68001, 51052, 56936, 69423, 60272, 64048, 51529, 50820, 51854, 50820, 53289, 50820, 53990, 50820, 55320, 50820, 62732, 50820, 50763, 50349, 57328, 58247, 69423, 51128, 53673, 53400, 50811, 69423, 62625, 51052, 59010, 64048, 50763, 50349, 62625, 52244, 64048, 51288, 75394, 50857, 52529, 65513, 50857, 63351, 50813, 54010, 50820, 69423, 57328, 56779, 50763, 50349, 51128, 53673, 50426, 69423, 68001, 51052, 58519, 69423, 57378, 62792, 51219, 50829, 51288, 50820, 52529, 50820, 54010, 50820, 63351, 50820, 52395, 50829, 50763, 50349, 51128, 53673, 50435, 67211, 69423, 57328, 51269, 56903, 50803, 69423, 62625, 51052, 55608, 69423, 62232, 74599, 51219, 50820, 51849, 50820, 52529, 50820, 54674, 50820, 52395, 50820, 63351, 50820, 50763, 50349, 62625, 51052, 65932, 69423, 51128, 53673, 50450, 58461, 69423, 68001, 51052, 56936, 69423, 60272, 51219, 50839, 51849, 50855, 52529, 50855, 54674, 50855, 63351, 50855, 52395, 50839, 50763, 50349, 68001, 51052, 62065, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54742, 51052, 51269, 53400, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 63301, 64048, 50763, 50349, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54657, 64048, 51849, 50829, 51854, 50857, 52294, 50867, 54674, 50829, 55320, 50857, 50679, 50332, 50867, 69423, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 62791, 50763, 50349, 57328, 58844, 69423, 68001, 51052, 65472, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53705, 64343, 51849, 50834, 51854, 50820, 52294, 50835, 55320, 50820, 54674, 50834, 50679, 50332, 50835, 50763, 50349, 57328, 59037, 62792, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51269, 56903, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 60887, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54305, 64048, 51529, 50820, 51854, 50820, 53289, 50841, 55320, 50820, 53990, 50820, 62732, 50841, 50763, 50349, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 58068, 69423, 57328, 59038, 61149, 69423, 68001, 51052, 59835, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54199, 64048, 51529, 50820, 51854, 50820, 53289, 50820, 53990, 50820, 55320, 50820, 62732, 50820, 50763, 50349, 51128, 53673, 50459, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51123, 53400, 50811, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54355, 51052, 62227, 64048, 50763, 50349, 62625, 52244, 64048, 51288, 75394, 50857, 52529, 65513, 50857, 63351, 50813, 54010, 50820, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53111, 56237, 50763, 50349, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 53111, 57252, 69423, 68001, 51052, 58519, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53705, 62792, 51219, 50829, 51288, 50820, 52529, 50820, 54010, 50820, 63351, 50820, 52395, 50829, 50763, 50349, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 53111, 56857, 67211, 69423, 57328, 51123, 56903, 50803, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 54355, 51052, 55608, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54305, 74599, 51219, 50820, 51849, 50820, 52529, 50820, 54674, 50820, 52395, 50820, 63351, 50820, 50763, 50349, 62625, 51052, 60979, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53111, 54626, 58461, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54742, 51052, 55371, 69423, 51128, 52760, 75095, 50857, 52075, 50857, 52792, 54199, 51219, 50839, 51849, 50855, 52529, 50855, 54674, 50855, 63351, 50855, 52395, 50839, 50763, 50349, 51128, 55424, 50857, 52760, 50857, 53232, 50857, 51902, 50857, 52075, 50857, 53811, 53111, 58247, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51123, 53400, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 62227, 64048, 50763, 50349, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54657, 64048, 51849, 50829, 51854, 50857, 52294, 50867, 54674, 50829, 55320, 50857, 50679, 50332, 50867, 69423, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 57079, 50763, 50349, 57328, 57252, 69423, 68001, 51052, 56739, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53705, 64343, 51849, 50834, 51854, 50820, 52294, 50835, 55320, 50820, 54674, 50834, 50679, 50332, 50835, 50763, 50349, 57328, 59037, 62792, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 51123, 56903, 50811, 69423, 51128, 52760, 50857, 53232, 50857, 52075, 50857, 53811, 54355, 51052, 60887, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54305, 64048, 51529, 50820, 51854, 50820, 53289, 50841, 55320, 50820, 53990, 50820, 62732, 50841, 50763, 50349, 51128, 52760, 50857, 52880, 50857, 52075, 50857, 54932, 53111, 58068, 69423, 57328, 59038, 61149, 69423, 68001, 51052, 56936, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 54199, 64048, 51529, 50820, 51854, 50820, 53289, 50820, 53990, 50820, 55320, 50820, 62732, 50820, 50763, 50349, 57328, 58247, 69423, 51128, 56165, 50857, 55424, 50857, 52041, 50857, 51902, 53111, 50907, 53400, 50811, 69423, 51128, 54750, 50857, 52760, 75095, 50857, 52170, 50857, 52075, 50857, 52792, 54355, 51052, 59010, 64048, 50763, 50349, 62625, 52244, 64048, 51288, 75394, 50857, 52529, 65513, 50857, 63351, 50813, 54010, 50820, 69423, 51128, 56165, 50857, 53854, 50857, 52041, 50857, 51584, 53111, 56779, 50763 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 278, 11, 10, 231, 73, 306, 86, 6543, 8, 10, 7212, 20889, 4, 20, 13305, 3315, 5, 169, 6, 2351, 10, 25306, 5466, 19, 17878, 9, 15073, 4, 20, 2125, 29769, 198, 5, 762, 9, 163, 428, 3694, 6, 4246, 10, 33215, 16739, 9, 274, 10431, 119, 1176, 406, 6, 274, 119, 406, 6, 274, 10431, 6, 274, 119, 6, 8, 163, 43531, 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 ]

[ 54838, 50630, 51561, 51277, 51435, 53233, 50420, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 70856, 51144, 66809, 51494, 66983, 51777, 51277, 50462, 51561, 51277, 50468, 51144, 51277, 50474, 51494, 51277, 51639, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 51435, 52140, 50420, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 70856, 51144, 66809, 51494, 51277, 52070, 56109, 51777, 51277, 50462, 51561, 51277, 52381, 50932, 50468, 51144, 51277, 50474, 51494, 51277, 52070, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 51435, 77870, 51144, 51277, 51639, 64570, 51494, 51277, 51435, 64809, 51777, 70351, 51561, 51277, 52709, 51753, 57473, 56391, 51144, 51277, 54513, 51753, 55374, 54323, 51494, 51328, 52709, 51481, 57473, 54509, 51777, 51328, 54513, 51481, 55374, 50892, 50462, 51561, 51242, 52709, 51277, 57473, 50892, 50468, 51144, 51242, 54513, 51277, 55374, 50845, 50474, 51494, 51212, 52709, 51328, 57473, 50845, 50480, 51777, 50978, 54513, 51006, 55374, 50845, 54838, 51561, 51101, 52709, 51242, 57473, 57437, 51144, 51177, 54513, 51212, 55374, 53890, 51494, 51177, 52709, 51212, 57473, 54259, 51777, 51177, 54513, 51242, 55374, 54233, 51561, 51101, 52709, 51242, 57473, 55945, 51144, 51101, 54513, 51328, 55374, 55125, 51494, 51212, 52709, 51328, 57473, 53586, 51777, 51242, 54513, 51277, 55374, 50845, 50462, 51561, 51242, 52709, 51277, 57473, 50892, 50468, 51144, 51328, 54513, 51481, 55374, 50892, 50474, 51494, 51328, 52709, 51481, 57473, 50905, 50480, 51777, 51174, 54513, 51376, 55374, 50838, 54838, 51561, 51277, 51435, 51939, 50420, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 70856, 51144, 66809, 51494, 51277, 51639, 56109, 51777, 51277, 50462, 51561, 51277, 51435, 50932, 50468, 51144, 51277, 50474, 51494, 51277, 52070, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 52381, 57410, 51144, 64570, 51494, 51277, 51948, 55665, 51777, 70351, 51561, 51277, 52929, 52140, 50444, 51144, 66809, 51494, 66983, 51777, 51277, 50462, 51561, 51277, 50468, 51144, 51277, 50474, 51494, 51277, 51837, 50932, 50480, 51777, 51174, 54838, 51561, 51277, 51948, 77870, 51144, 51277, 52381, 64570, 51494, 51277, 51948, 51709, 50432, 51777, 70351, 51561, 51277, 52709, 51753, 57473, 56391, 51144, 51277, 54513, 51753, 55374, 54323, 51494, 51328, 52709, 51481, 57473, 54509, 51777, 51328, 54513, 51481, 55374, 50892, 50462, 51561, 51242, 52709, 51277, 57473, 50892, 50468, 51144, 51242, 54513, 51277, 55374, 50845, 50474, 51494, 51212, 52709, 51328, 57473, 50845, 50480, 51777, 50978, 54513, 51006, 55374, 50845, 54838, 51561, 51101, 52709, 51242, 57473, 55689, 51144, 51177, 54513, 51212, 55374, 53890, 51494, 51177, 52709, 51212, 57473, 54259, 51777, 51101, 54513, 51242, 55374, 54233, 51561, 51212, 52709, 51328, 57473, 55945, 51144, 51242, 54513, 51277, 55374, 53562, 50630, 51494, 51328, 52709, 51481, 57473, 50892, 50455, 50630, 50456, 51777, 51277, 54513, 51376, 55374, 56517, 50629, 50462, 51561, 51277, 51948, 51277, 50464, 50629, 50468, 51144, 51277, 52381, 51277, 50469, 50629, 50474, 50629, 51494, 51277, 52070, 51277, 50478, 50629, 50480, 51777, 51174, 51435, 51277, 50483, 50629, 54838, 50630, 51512, 51277, 51639, 77870, 51308, 51277, 51777, 64570, 51429, 51277, 51639, 51709, 50432, 52070, 70351, 51512, 51277, 52070, 51753, 51948, 56391, 51308, 51277, 52381, 51753, 52461, 54323, 51429, 51328, 52070, 51481, 51948, 54509, 52070, 51328, 52461, 51328, 50462, 51512, 51242, 52070, 51277, 51948, 50845, 50468, 51308, 51242, 52381, 51328, 52461, 50845, 50474, 51429, 51212, 52070, 51328, 51948, 50901, 50480, 52070, 50978, 52461, 50987, 54838, 51512, 51101, 51948, 51212, 52929, 55689, 51308, 51177, 52461, 51212, 53629, 53466, 51429, 51177, 51948, 51212, 52929, 53308, 51435, 51101, 52461, 51212, 53629, 54233, 51512, 51212, 51948, 51328, 52929, 55945, 51308, 51242, 52461, 51277, 53629, 53562, 51429, 51328, 51948, 51481, 52929, 54771, 51435, 51277, 52461, 51376, 53629, 50838, 50462, 51512, 51277, 51777, 50932, 50468, 51308, 51277, 50474, 51429, 51277, 51435, 51199, 50480, 51435, 51481, 54838, 51512, 51277, 52070, 77870, 51308, 51277, 51435, 64570, 51429, 51277, 52070, 51709, 50432, 52070, 70351, 51512, 51277, 51435, 51753, 52381, 56391, 51308, 51277, 52070, 51753, 51948, 54323, 51429, 51328, 51435, 51481, 52381, 54509, 52070, 51242, 51948, 51242, 50462, 51512, 51242, 51435, 51277, 52381, 50845, 50468, 51308, 51212, 52070, 51328, 51948, 50901, 50474, 51429, 51101, 51435, 51242, 52381, 50901, 50480, 52070, 50987, 51948, 50987, 54838, 51512, 51177, 52381, 51518, 50420, 51308, 67175, 51429, 68181, 51435, 75120, 51512, 51328, 50444, 51308, 78271, 51429, 51277, 52929, 56109, 51435, 51277, 50462, 51512, 51277, 52929, 50932, 50468, 51308, 51277, 50474, 51429, 51277, 53629, 50932, 50480, 51435, 51174, 54838, 51232, 51277, 53629, 52140, 50420, 51494, 64570, 51512, 66013, 51639, 70351, 51232, 70856, 51494, 66809, 51512, 51277, 52929, 56109, 51777, 51277, 50462, 51232, 51277, 52461, 50932, 50468, 51494, 51277, 50474, 51512, 51277, 52929, 50932, 50480, 51429, 50972, 54838, 52040, 51277, 51948, 75192, 51847, 64570, 51561, 66013, 51308, 64025, 52040, 70856, 51847, 66809, 51561, 51277, 52070, 56109, 51308, 51277, 50462, 51706, 51277, 52381, 50932, 50468, 51847, 51277, 50474, 51144, 50932, 51435, 51277, 50480, 51308, 51174, 54838, 52477, 51277, 51639, 52140, 50420, 51706, 64570, 52040, 66013, 51494, 70351, 51512, 70856, 51308, 66809, 50630, 51429, 51277, 51639, 50932, 50455, 50629, 50456, 52070, 51277, 50459, 50629, 50462, 51706, 51277, 51435, 50932, 50464, 50629, 50468, 51847, 51277, 50469, 50629, 50474, 50629, 51144, 51277, 51777, 50932, 50478, 50629, 50480, 51308, 51174, 50483, 50629, 54838, 51561, 51277, 51639, 51277, 50417, 50630, 50420, 51144, 51277, 51435, 64570, 51494, 51277, 51639, 51709, 50432, 51777, 70351, 51561, 51277, 52070, 51753, 51948, 56391, 51144, 51277, 52381, 51753, 52461, 54323, 51494, 51328, 52070, 51481, 51948, 54509, 51777, 51328, 52381, 51481, 52461, 50892, 50462, 51429, 51328, 51948, 51277, 52929, 50892, 50468, 51512, 51242, 52461, 51277, 53629, 50845, 50474, 51308, 51242, 51948, 51277, 52929, 50845, 50480, 51144, 50978, 52381, 51006, 52461, 50892, 54838, 51561, 51212, 52070, 51328, 51948, 57437, 51144, 51101, 52381, 51242, 52461, 55035, 51494, 51101, 52070, 51242, 51948, 54259, 51777, 51177, 51435, 51212, 52381, 54233, 51561, 51177, 51639, 51212, 52070, 53969, 51144, 51101, 51435, 51242, 52381, 54230, 51494, 51101, 51639, 51328, 52070, 55670, 51777, 51212, 51435, 51242, 50462, 51429, 51242, 51639, 51328, 50468, 51512, 51242, 51777, 51753, 51435, 50905, 50474, 51308, 51328, 51639, 51884, 52070, 50974, 50480, 51435, 51174, 52381, 51376, 54838, 51561, 77870, 51144, 64570, 51494, 66013, 51777, 70351, 51561, 51277, 52070, 51753, 51948, 56391, 51144, 51277, 52381, 51884, 52461, 56697, 51494, 51277, 52070, 51753, 51948, 56711, 51777, 51328, 52381, 51753, 52461, 50905, 50462, 51429, 51328, 51948, 51481, 52929, 50905, 50468, 51512, 51242, 52461, 51481, 53629, 50892, 50474, 51308, 51242, 51948, 51277, 52929, 50892, 50480, 51144, 50978, 52381, 51174, 52461, 50892, 54838, 51561, 51212, 52070, 51328, 51948, 57437, 51144, 51101, 52381, 51242, 52461, 55035, 51494, 51101, 52070 ]

[ 0, 250, 765, 6, 20425, 5175, 2214, 11, 272, 538, 6, 4246, 10, 13305, 816, 34879, 23, 10, 27841, 139, 20889, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 5705, 25935, 1626, 227, 5, 40286, 211, 8, 272, 6, 2351, 10, 20902, 8, 14899, 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 ]

[ 65919, 50429, 50861, 51059, 50452, 50861, 64776, 50861, 57239, 50861, 51059, 50796, 73866, 61109, 50861, 59475, 75019, 50449, 50916, 59315, 50900, 50975, 51809, 50916, 74377, 75019, 50431, 50916, 50975, 57267, 74661, 67595, 50453, 75019, 50461, 50916, 50975, 52591, 50900, 50975, 50428, 50916, 50975, 50435, 75019, 50443, 50916, 50975, 56222, 77567, 67595, 52177, 75019, 78630, 65759, 50861, 54179, 75019, 50440, 50861, 69455, 50861, 59981, 75019, 50455, 75019, 54594, 50975, 50429, 50900, 50975, 50916, 50975, 75019, 50437, 50861, 70736, 50861, 55380, 50900, 50975, 50916, 50975, 75019, 50452, 50861, 64776, 50861, 57239, 50900, 50975, 50916, 50975, 67595, 53069, 50902, 50975, 53523, 50975, 50916, 50975, 50968, 73637, 50861, 61109, 50861, 59475, 50900, 50975, 50916, 50975, 75019, 50449, 50861, 71524, 50861, 54178, 50900, 50975, 50916, 50975, 67595, 51809, 50968, 74377, 51026, 50975, 51086, 50975, 50899, 50975, 50902, 50975, 50431, 50973, 60363, 51026, 50975, 51086, 50975, 50899, 50975, 75019, 67655, 63816, 50861, 58615, 50900, 50975, 50916, 50975, 75019, 50461, 50861, 50823, 51809, 50861, 50823, 53502, 50975, 50916, 50975, 75019, 50428, 50861, 64058, 50861, 59184, 50900, 50975, 50916, 50975, 67595, 50443, 50902, 50975, 55895, 50975, 50916, 50975, 50968, 77567, 50876, 62181, 78773, 52177, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50425, 51026, 50975, 51086, 50975, 50899, 59959, 51026, 50975, 51086, 50975, 50899, 50975, 50436, 69593, 50440, 50968, 69455, 50902, 59981, 50900, 50975, 50916, 50975, 75019, 67595, 50455, 50968, 50975, 53975, 50975, 50916, 50975, 75019, 67595, 50429, 50900, 50975, 50916, 50975, 75019, 50437, 50861, 70736, 50861, 55380, 50900, 50975, 50916, 50975, 75019, 50452, 50861, 64776, 50861, 57239, 50900, 50975, 50916, 50975, 67595, 53069, 50902, 50975, 53523, 50975, 50916, 50975, 50968, 73637, 50861, 61109, 50861, 59475, 50900, 50975, 50916, 50975, 75019, 50449, 50861, 71524, 50861, 54178, 50900, 50975, 50916, 50975, 67595, 51809, 50968, 74377, 51026, 50975, 51086, 50975, 50899, 50975, 50902, 50975, 50431, 50973, 60363, 51026, 50975, 51086, 50975, 50899, 50975, 75019, 67655, 63816, 50861, 58615, 50900, 50975, 50916, 50975, 75019, 50461, 50861, 50823, 51809, 50861, 50823, 53502, 50975, 50916, 50975, 75019, 50428, 50861, 64058, 50861, 59184, 50900, 50975, 50916, 50975, 67595, 50443, 50902, 50975, 55895, 50975, 50916, 50975, 50968, 77567, 50876, 62181, 78773, 52177, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50425, 51026, 50975, 51086, 50975, 50899, 59959, 51026, 50975, 51086, 50975, 50899, 50975, 50436, 69593, 50440, 50968, 69455, 50902, 59981, 50900, 50975, 50916, 50975, 75019, 67595, 50455, 50968, 50975, 53975, 50975, 50916, 50975, 75019, 67595, 50429, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50437, 50968, 70736, 50968, 55380, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50452, 50968, 64776, 50968, 57239, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 53069, 50999, 50975, 57025, 50975, 50900, 50975, 50916, 50975, 50968, 73637, 50999, 73064, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50449, 50999, 59315, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 51809, 50902, 74377, 51176, 50975, 50916, 50975, 67595, 50431, 50899, 50975, 50973, 60363, 51027, 50975, 50900, 50975, 68165, 50453, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50461, 78773, 51809, 50968, 55573, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50428, 50968, 64058, 50968, 59184, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50443, 50999, 58981, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 77567, 50999, 50975, 52177, 51027, 50975, 50900, 50975, 50916, 50975, 50968, 50975, 50425, 50999, 50975, 58296, 50975, 50951, 50975, 50440, 51027, 50975, 50900, 50975, 51114, 73704, 51026, 51059, 51086, 51059, 50899, 51059, 50951, 51059, 54955, 50975, 51086, 50975, 50899, 50975, 50951, 50975, 50429, 75019, 50902, 50975, 50437, 50861, 67353, 70736, 50861, 67353, 55380, 75019, 50902, 50975, 50452, 67595, 50968, 50975, 50459, 50902, 50975, 50931, 50975, 53069, 51026, 50975, 50861, 51059, 50902, 51059, 57025, 73637, 51086, 50975, 50902, 50975, 50931, 73064, 50900, 50975, 67595, 50968, 50975, 50449, 50861, 51059, 50876, 75487, 51315, 50975, 51809, 51050, 50975, 67595, 50968, 74377, 51026, 50975, 50861, 51009, 50973, 51009, 50902, 51009, 50431, 51026, 55996, 51026, 53925, 51026, 75255, 75019, 50902, 50975, 50461, 50861, 67353, 50823, 51809, 50861, 67353, 55573, 75019, 50902, 50975, 50428, 67595, 50968, 50975, 50435, 50902, 50975, 50931, 50975, 50443, 51026, 50975, 50861, 51059, 50902, 63399, 51027, 77567, 51086, 50975, 50902, 50975, 50931, 50975, 52177, 50900, 50975, 67595, 50968, 50975, 78630, 51059, 50876, 68025, 51315, 50975, 50440, 51050, 50975, 67595, 50968, 73704, 51026, 50975, 50861, 51009, 50973, 51009, 50902, 51009, 50455, 51026, 56250, 51026, 50823, 54955, 50975, 50429, 50861, 51059, 50452, 50861, 64776, 50861, 57239, 50861, 51059, 50796, 73866, 61109, 50861, 59475, 75019, 50449, 50916, 59315, 50900, 50975, 51809, 50916, 74377, 75019, 50431, 50916, 50975, 57267, 74661, 67595, 50453, 75019, 50461, 50916, 50975, 52591, 50900, 50975, 50428, 50916, 50975, 50435, 75019, 50443, 50916, 50975, 56222, 77567, 67595, 52177, 75019, 78630, 65759, 50861, 54179, 75019, 50440, 50861, 69455, 50861, 59981, 75019, 50455, 75019, 54594, 50975, 50429, 50900, 50975, 50916, 50975, 75019, 50437, 50861, 70736, 50861, 55380, 50900, 50975, 50916, 50975, 75019, 50452, 50861, 64776, 50861, 57239, 50900, 50975, 50916, 50975, 67595, 53069, 50902, 50975, 53523, 50975, 50916, 50975, 50968, 73637, 50861, 61109, 50861, 59475, 50900, 50975, 50916, 50975, 75019, 50449, 50861, 71524, 50861, 54178, 50900, 50975, 50916, 50975, 67595, 51809, 50968, 74377, 51026, 50975, 51086, 50975, 50899, 50975, 50902, 50975, 50431, 50973, 60363, 51026, 50975, 51086, 50975, 50899, 50975, 75019, 67655, 63816, 50861, 58615, 50900, 50975, 50916, 50975, 75019, 50461, 50861, 50823, 51809, 50861, 50823, 53502, 50975, 50916, 50975, 75019, 50428, 50861, 64058, 50861, 59184, 50900, 50975, 50916, 50975, 67595, 50443, 50902, 50975, 55895, 50975, 50916, 50975, 50968, 77567, 50876, 62181, 78773, 52177, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50425, 51026, 50975, 51086, 50975, 50899, 59959, 51026, 50975, 51086, 50975, 50899, 50975, 50436, 69593, 50440, 50968, 69455, 50902, 59981, 50900, 50975, 50916, 50975, 75019, 67595, 50455, 50968, 50975, 53975, 50975, 50916, 50975, 75019, 67595, 50429, 51026, 50975, 51086, 50975, 50899, 50975, 50951, 51029, 50437, 51026, 50975, 51086, 50975, 50899, 58919, 51026, 50975, 51086, 50975, 50899, 50975, 50448, 69593, 50452, 50968, 64776, 50902, 57239, 50900, 50975, 50916, 50975, 75019, 67595, 53069, 50968, 59216, 51085, 54217, 50900, 54217, 50916, 54217, 50861, 54217, 50876, 54217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 15855, 2125, 19, 3495, 16882, 6, 4246, 10, 24896, 8, 21979, 8669, 4279, 594, 4, 20, 2214, 7630, 6568, 10, 5679, 26709, 8, 19448, 5466, 6, 19, 17878, 9, 657, 8, 1619, 4, 8504, 11, 83, 538, 8, 10, 23667, 204, 73, 306, 86, 6543, 6, 24, 22848, 10, 33215, 16739, 9, 83, 6, 381, 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 ]

[ 50799, 50643, 50426, 52521, 50860, 51967, 54684, 52521, 50860, 51967, 55276, 52521, 50860, 51967, 63757, 53122, 54554, 51967, 50860, 52142, 55273, 52130, 50860, 52142, 50860, 77630, 50860, 52142, 51072, 51171, 68107, 53058, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 52130, 50860, 52142, 51072, 50946, 63523, 53058, 54554, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53058, 50860, 52142, 50860, 71411, 51072, 52142, 50860, 51171, 68107, 53020, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 51951, 50860, 52142, 55276, 53058, 50860, 52142, 51072, 50946, 63523, 52130, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 51951, 50860, 52142, 50860, 77630, 50860, 52142, 51072, 51171, 68107, 53058, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 53058, 50860, 52142, 51072, 50946, 63523, 52130, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 51066, 51967, 51066, 51171, 62819, 52521, 50860, 51967, 67072, 51066, 50944, 51066, 50850, 63284, 53122, 50860, 51967, 55276, 51967, 50860, 52142, 50860, 52540, 63523, 52130, 50860, 52142, 54554, 53058, 50860, 52142, 50860, 51791, 62287, 51967, 50860, 52142, 50860, 71411, 50860, 52142, 50860, 51688, 68107, 52130, 50860, 52142, 54675, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 63284, 52130, 50860, 52142, 55276, 52130, 50860, 52142, 50860, 51217, 63523, 53058, 50860, 52142, 54554, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 62287, 53928, 50860, 52130, 50860, 50799, 53122, 50860, 52130, 50860, 51688, 68107, 53928, 50860, 52130, 54675, 53928, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 53928, 50860, 52130, 55276, 53122, 50860, 52130, 50860, 51791, 63523, 52521, 50860, 52130, 54554, 53122, 50860, 52130, 50860, 52540, 62287, 53928, 50860, 52130, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 52130, 50860, 52142, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 51066, 51967, 51066, 51171, 62819, 52521, 50860, 51967, 67072, 51066, 50944, 51066, 50850, 63284, 52521, 50860, 51967, 55276, 52521, 50860, 51967, 72628, 63523, 53122, 50860, 51967, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 51951, 50860, 52142, 50860, 77630, 50860, 52142, 50860, 51171, 68107, 53058, 50860, 52142, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 52130, 50860, 52142, 72628, 63523, 53058, 50860, 52142, 54554, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53058, 50860, 52142, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 51967, 50860, 53020, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 51951, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53058, 50860, 52142, 50860, 71411, 50860, 53258, 50860, 51171, 68107, 51967, 50860, 53020, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 51951, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 50860, 51967, 50860, 51171, 68107, 53122, 50860, 51967, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 50860, 52540, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 50860, 51791, 62287, 53058, 50860, 52142, 50860, 71411, 50860, 52142, 50860, 51688, 68107, 52130, 50860, 52142, 54675, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 63284, 52130, 50860, 52142, 55276, 52130, 50860, 52142, 50860, 51217, 63523, 53058, 50860, 52142, 54554, 52130, 50860, 52142, 74090, 51066, 78436, 50850, 62287, 53928, 50860, 52130, 50860, 50799, 53122, 50860, 52130, 50860, 51688, 68107, 53928, 50860, 52130, 54675, 53928, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 53928, 50860, 52130, 55276, 53122, 50860, 52130, 50860, 51791, 63523, 52521, 50860, 52130, 54554, 53122, 50860, 52130, 50860, 52540, 62287, 53928, 50860, 52130, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 53058, 50860, 52142, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 71411, 51066, 52142, 51066, 51171, 62819, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 50860, 51217, 63523, 51951, 50860, 52142, 54554, 51967, 50860, 52142, 50860, 51506, 62287, 51967, 50860, 53258, 50860, 71411, 50860, 52142, 50860, 50988, 68107, 51967, 50860, 53020, 54675, 51967, 50860, 53020, 67072, 51066, 50847, 51066, 50935, 63284, 51967, 50860, 53020, 55276, 51967, 50860, 53020, 50860, 51171, 63523, 51967, 50860, 52142, 54554, 51967, 50860, 53020, 67072, 51066, 50847, 51066, 50935, 62287, 51967, 50860, 56212, 50860, 71411, 51066, 53258, 51066, 50988, 62819, 51967, 50860, 53258, 67072, 51066, 50847, 51066, 50935, 63284, 51967, 50860, 55034, 55276, 51967, 50860, 53258, 50860, 51506, 63523, 51967, 50860, 53020, 54554, 51967, 50860, 52142, 50860, 51217, 62287, 51967, 50860, 51951, 50860, 52142, 50860, 77630, 50860, 52142, 50860, 51171, 68107, 53058, 50860, 52142, 54675, 53058, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 53058, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 50860, 51967, 50860, 51171, 68107, 53122, 50860, 51967, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 50860, 52540, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 50860, 51791, 62287, 53058, 50860, 52142, 50860, 77723, 50860, 51967, 50860, 51688, 68107, 52682, 50860, 52130, 54675, 52682, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 52682, 50860, 52130, 55276, 52682, 50860, 52130, 50860, 52540, 63523, 52682, 50860, 53058, 54554, 52682, 50860, 52130, 74090, 51066, 78436, 50850, 62287, 53928, 50860, 52130, 50860, 50799, 53122, 50860, 52130, 50860, 51688, 68107, 53928, 50860, 52130, 54675, 53928, 50860, 52130, 74090, 51066, 78436, 50850, 63284, 53928, 50860, 52130, 55276, 53122, 50860, 52130, 50860, 51791, 63523, 52521, 50860, 52130, 54554, 53122, 50860, 52130, 50860, 52540, 62287, 53928, 50860, 52130, 50860, 71411, 50860, 52142, 50860, 51171, 68107, 52130, 50860, 52142, 54675, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 63284, 52130, 50860, 52142, 55276, 53058, 50860, 52142, 72628, 63523, 52130, 50860, 52142, 54554, 51967, 50860, 52142, 67072, 51066, 50944, 51066, 50850, 62287, 53122, 50860, 51967, 50860, 77435, 50860, 51967, 50860, 51171 ]

[ 0, 250, 182, 1769, 12, 20764, 8, 20425, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 13305, 816, 34879, 11, 5, 762, 9, 272, 538, 4, 20, 15229, 34, 10, 25306, 1318, 8, 7630, 6568, 10, 1186, 9, 8597, 31, 11098, 7, 15073, 4, 85, 3905, 10, 204, 73, 306, 86, 6543, 8, 1171, 10, 33215, 16739, 9, 83, 6, 211, 119, 6, 381, 6, 230, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 51050, 80082, 51141, 50999, 51077, 53645, 57173, 51146, 53263, 51062, 52599, 51050, 64951, 51608, 50326, 55082, 50871, 67883, 78599, 50889, 54197, 67883, 51141, 50999, 51141, 53645, 57173, 50951, 67689, 52446, 51050, 64510, 51608, 50328, 55480, 51026, 53562, 51027, 53586, 50997, 50845, 53975, 58421, 51077, 50931, 67297, 51085, 54975, 50999, 62530, 60006, 63883, 50951, 52596, 50931, 50805, 51085, 57414, 50951, 50805, 55694, 65934, 55385, 50871, 53172, 50900, 57069, 62931, 55112, 51027, 53264, 51050, 56306, 50931, 52596, 51339, 61480, 57414, 51339, 50805, 68818, 57260, 57933, 51146, 52483, 51081, 69769, 57173, 51081, 52446, 71214, 50916, 63939, 51081, 52711, 50999, 53668, 51081, 52741, 51062, 69769, 57414, 79299, 62856, 52864, 50871, 64510, 52483, 50900, 67996, 55112, 51027, 53264, 51050, 56306, 50931, 52596, 51339, 61480, 57414, 51339, 50805, 68818, 57260, 57933, 51146, 52483, 51081, 69769, 57173, 51081, 52446, 71214, 50916, 63939, 51081, 52711, 50999, 53668, 51081, 52741, 51062, 69769, 57414, 79299, 62856, 57449, 57933, 50999, 52483, 51081, 53847, 50999, 52559, 50951, 53263, 50999, 52599, 51062, 55143, 56306, 51081, 52596, 51062, 53987, 51081, 52643, 50999, 53848, 79299, 62529, 56876, 57933, 51062, 52483, 51146, 53847, 51062, 52559, 51220, 53263, 51062, 52599, 51399, 58204, 56306, 51146, 52596, 51081, 52961, 50951, 50805, 56229, 56472, 57933, 50968, 52483, 50951, 52605, 50931, 52446, 50931, 54134, 50951, 52711, 50931, 53668, 50968, 52741, 50968, 53987, 50931, 52643, 50968, 53848, 66638, 55331, 54275, 50968, 52871, 50902, 54080, 50876, 53049, 50876, 56274, 50902, 53911, 50876, 56529, 50906, 52729, 50906, 56532, 50876, 53783, 50906, 55876, 50877, 53140, 50877, 56936, 50906, 54900, 50877, 58223, 58219, 54578, 65348, 51283, 50999, 51080, 57340, 52688, 50876, 53052, 72441, 50877, 56784, 51062, 52788, 50871, 57945, 77404, 56350, 50877, 52985, 50876, 57643, 70453, 56109, 50877, 50838, 54578, 57643, 51283, 50999, 51283, 57340, 52688, 50876, 53052, 50877, 57945, 64079, 52718, 50871, 60472, 74616, 56350, 50877, 52985, 50876, 53581, 50877, 50838, 54578, 51260, 50333, 51283, 51146, 51080, 55902, 52688, 50902, 53052, 51487, 50827, 50861, 56784, 51339, 52788, 50871, 65348, 51517, 50332, 56350, 50861, 52985, 50902, 74984, 51517, 50330, 56109, 50861, 50838, 54578, 74984, 51283, 51146, 51283, 55902, 52688, 50902, 53052, 50861, 65348, 51260, 50332, 52718, 50871, 77868, 51517, 50333, 56350, 50861, 52985, 50902, 53581, 50861, 50838, 55524, 57945, 51077, 51487, 51077, 55902, 52688, 50876, 53052, 50861, 52718, 51487, 50933, 50916, 50838, 50442, 51339, 57940, 50861, 69262, 51430, 55514, 51430, 50933, 50876, 80230, 51146, 57131, 50861, 70529, 51062, 50933, 59733, 50933, 50871, 50838, 50418, 51220, 50933, 57340, 67132, 50999, 55656, 50876, 60472, 51381, 63174, 52718, 50871, 50932, 50442, 51147, 62565, 50999, 55514, 51220, 72921, 50999, 65897, 51147, 50933, 58479, 50933, 50418, 51220, 64987, 51062, 55656, 51146, 68858, 51062, 62727, 51220, 56180, 51062, 70430, 51399, 62565, 51146, 55514, 51430, 72921, 51146, 65897, 51399, 50933, 62529, 51008, 50916, 50995, 50418, 51430, 65023, 51339, 57818, 51487, 70258, 51339, 63125, 51430, 55467, 51814, 50878, 50871, 50889, 50442, 51487, 69775, 51339, 58332, 51430, 50942, 50989, 50807, 50454, 51146, 65737, 51062, 50925, 66302, 50925, 50861, 50896, 50418, 51146, 62270, 51062, 55640, 51220, 69270, 50999, 62408, 50951, 56983, 69697, 51026, 51608, 50303, 50889, 50442, 50968, 64482, 50902, 57006, 50968, 50910, 51026, 70156, 50889, 50454, 50902, 62990, 67594, 57844, 50910, 51026, 62525, 50889, 50418, 51146, 60853, 51062, 56382, 51220, 62815, 50999, 58877, 50951, 56983, 69697, 51026, 51608, 50303, 50889, 50442, 50968, 64482, 50902, 57006, 50968, 50910, 51026, 70156, 50889, 50454, 50902, 62990, 67594, 57844, 50910, 51026, 62525, 50889, 80121, 60853, 50876, 56382, 50973, 62815, 50877, 58877, 50861, 56983, 67559, 51214, 76195, 50889, 50442, 80143, 64118, 57006, 80143, 51214, 76195, 50889, 50454, 50899, 62990, 50900, 50910, 54795, 50897, 51086, 79936, 51026, 50925, 61084, 50422, 51120, 50942, 50899, 57629, 51324, 50878, 51086, 68486, 51120, 50959, 50899, 61782, 51324, 51008, 51086, 59983, 51214, 52019, 50299, 59124, 50951, 50932, 59733, 51283, 54439, 55665, 51146, 53720, 51430, 52788, 50876, 62722, 54980, 51028, 77316, 56807, 54869, 58254, 50931, 70342, 50876, 52739, 50973, 53720, 50877, 52788, 50861, 55247, 50965, 60700, 51517, 50327, 50932, 54852, 74616, 51283, 50968, 51080, 56546, 57173, 51220, 53720, 50999, 52788, 51147, 57712, 56350, 50999, 52985, 73137, 51001, 65421, 50999, 53176, 50951, 54529, 61111, 66302, 51172, 50916, 76695, 51147, 52580, 50973, 51172, 50968, 75986, 50965, 52788, 50916, 54980, 50968, 50932, 58479, 51283, 56248, 55665, 51220, 53720, 51062, 52788, 50877, 58327, 57991, 50973, 60700, 51741, 50325, 50981, 57923, 51807, 50322, 51003, 56546, 64951, 51218, 50968, 51359, 59419, 51077, 50906, 63883, 50931, 52596, 50951, 52961, 50999, 50805, 56807, 58520, 58421, 57933, 50931, 53172, 50968, 52015, 78740, 54221, 50902, 52718, 50916, 58327, 71169, 51080, 56415, 62722, 52062, 50456, 50902, 50838, 53975, 65377, 58327, 55665, 50951, 53263, 50931, 52599, 51315, 59368, 62219, 53898, 50444, 51120, 59238, 58404, 52610, 51085, 61805, 56501, 52931, 51324, 70167, 58692, 50806, 55547, 51608, 50301, 59460, 55112, 50877, 53263, 50951, 52599, 51050, 57926, 63037, 52692, 51315, 59368, 62219, 52570, 50450, 51120, 59238, 58404, 52931, 51085, 61805, 71181, 58066, 51608, 50303, 66154, 55112, 51339, 53720, 51430, 52788, 50973, 77868, 53624, 50902, 65348, 52985, 50973, 74984, 53581, 50902, 60472, 50838, 54960, 57945, 51172, 67855, 56909, 50999, 52580, 50876, 57945, 53052, 50968, 51260, 50335, 52718, 50902, 57945, 78369, 50931, 57060, 50999, 52989, 50902, 57945, 53581, 50931, 51260, 50335, 50838, 56807, 50933, 50968, 50932, 50418, 51487, 64987, 51339, 55656, 51430, 68858, 51146, 62727, 51062, 56180, 51146, 50825, 50968, 65300, 77563, 51062, 67552, 51220, 62565, 51062, 55514, 51146, 69043, 51619, 62624, 50451, 51062, 65415, 51220, 65897, 51062, 50933, 57289, 65300, 50932, 50418, 51487, 64987, 51339, 55656, 51430, 68858, 51146, 62727, 51062, 56180, 51146, 50825, 50968, 65300, 77563, 51062, 67552, 51220, 62565, 51062, 55514, 51146, 69043, 51619, 62624, 50451, 51062, 65415, 51220, 65897, 51062, 50933, 57289, 65300, 50932, 50418, 51062, 64987, 51146, 57818, 51430, 70258, 51339, 66855, 51487, 58866, 51081, 51077, 50442, 50951, 64482, 50931, 55620, 50968, 50925, 50454, 50902, 68627, 59725, 56310, 50981, 50418, 51147, 64987, 50999, 55656, 51062, 68858, 50999, 62727, 50931, 56180, 50861, 58327, 62722, 51592, 63932, 61077, 70713, 80245, 50876, 58345, 50902, 63226, 50876, 54481, 50902, 67321, 50876, 57490, 50902, 65315, 50876, 50867, 54960, 62722, 51452, 50432, 50951, 53263, 50931, 52599, 51315, 59368, 62219, 53898, 50444, 51120, 59238, 58404, 52610, 51085, 61805, 56501, 52931, 51324, 70167, 58692, 50806, 55547, 51608, 50301, 59460, 55112, 50877, 53263, 50951, 52599, 51050, 57926, 63037, 52692, 51315, 59368, 62219, 52570, 50450, 51120, 59238, 58404, 52931, 51085, 61805, 71181, 58066, 51608, 50303, 66154, 55112, 51339, 53720, 51430, 52788, 50973 ]

[ 0, 250, 15352, 30054, 8, 19448, 3495, 13305, 2125, 11, 83, 538, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 11926, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 590, 10, 23758, 3938, 20889, 8, 10, 132, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 381, 406, 6, 83, 6, 15312, 757, 6, 8, 381, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 69434, 50425, 51114, 55191, 50968, 52254, 50432, 51114, 56000, 51114, 50813, 69434, 50415, 51114, 67142, 50989, 51148, 50421, 50877, 51490, 50899, 51490, 50431, 51114, 50859, 51057, 50632, 50415, 67423, 50421, 51114, 50866, 50425, 50931, 51254, 50428, 51114, 66591, 50951, 52168, 69434, 51315, 54228, 50421, 51027, 59170, 50427, 51040, 52618, 71625, 55811, 50433, 51315, 52514, 50436, 64920, 69434, 50415, 51315, 53164, 50315, 52011, 50417, 51028, 53838, 50421, 51027, 55812, 50427, 51040, 52618, 50431, 50902, 51254, 50434, 51001, 51022, 50437, 50968, 51709, 51057, 50630, 50415, 51315, 52397, 56945, 52618, 61104, 60346, 51001, 73632, 51315, 52514, 51057, 50630, 50415, 50968, 51277, 51279, 52519, 50420, 51315, 60243, 50421, 51001, 70001, 51026, 72464, 50428, 50968, 51524, 50430, 76890, 50431, 51360, 51832, 50433, 51114, 51376, 51057, 50630, 50415, 51120, 52518, 50421, 51027, 54191, 50313, 71874, 50973, 72435, 51028, 64463, 50989, 72464, 50433, 50861, 52179, 50902, 75256, 50968, 50933, 50436, 50965, 50912, 69781, 51114, 50904, 76751, 51060, 58973, 71695, 71473, 53109, 50999, 72680, 52386, 50330, 53272, 50902, 50863, 50999, 51764, 50330, 55286, 50902, 50820, 50999, 50829, 51146, 50908, 69781, 51146, 66919, 66083, 50901, 54569, 51954, 50298, 51051, 57025, 54354, 64920, 69781, 75456, 67722, 50968, 51524, 75536, 51258, 50418, 76884, 50421, 51028, 53935, 50902, 51008, 50429, 51001, 51051, 50433, 50968, 51490, 51057, 50630, 51027, 54557, 50421, 50916, 56374, 58319, 52167, 51028, 51387, 69781, 50416, 50861, 51642, 50902, 51095, 51315, 51244, 50422, 50973, 51481, 72513, 77429, 50317, 51490, 50430, 71579, 50434, 50973, 53280, 69781, 50415, 51279, 52988, 50428, 50877, 56427, 50973, 56857, 57947, 50437, 51028, 51333, 74734, 50415, 51360, 53838, 50416, 51027, 52397, 50428, 51315, 69066, 50431, 64041, 50433, 51197, 52101, 51028, 60968, 50968, 73425, 51120, 51387, 77669, 50902, 51753, 50420, 51841, 67022, 50287, 75431, 51503, 57818, 51279, 51381, 66702, 50415, 51324, 50914, 50421, 51360, 52059, 50427, 51120, 51210, 50431, 51315, 51753, 50437, 51027, 52056, 51057, 50630, 51120, 52378, 50419, 50877, 51112, 50973, 51159, 50902, 67800, 51226, 50431, 50973, 62574, 50320, 69868, 50899, 52514, 50434, 50956, 51210, 50436, 64410, 69781, 50877, 51100, 50973, 51101, 50931, 51215, 50871, 51534, 75456, 51166, 50421, 50968, 72925, 50902, 75343, 51001, 61231, 50968, 51115, 69434, 74354, 51703, 51040, 54829, 50421, 50916, 57912, 50422, 51028, 52134, 50427, 50902, 65176, 50968, 51009, 69781, 50426, 51315, 51376, 50429, 51050, 65298, 51026, 51252, 50434, 51176, 51022, 50437, 51027, 51333, 51057, 50630, 50419, 50968, 52717, 50289, 50974, 50421, 50931, 51550, 50423, 50968, 52482, 50432, 51001, 50907, 51057, 50630, 50968, 50879, 50421, 51040, 50982, 50861, 53896, 50902, 51051, 50429, 51028, 51524, 63975, 51922, 50433, 50871, 54557, 69434, 50415, 51197, 51258, 51120, 52783, 50421, 51027, 51550, 50427, 51050, 58483, 71288, 79675, 51477, 50877, 51562, 51057, 50630, 50421, 51027, 61033, 51027, 50937, 50430, 51026, 51376, 50433, 51050, 51524, 50435, 51315, 51470, 69781, 50415, 51120, 51961, 55961, 54179, 50861, 76257, 50965, 50907, 69781, 50877, 50974, 58060, 51446, 50426, 51234, 57648, 50906, 52188, 69781, 51279, 70261, 50877, 51318, 61104, 50863, 50916, 62169, 51324, 51129, 50861, 51006, 50436, 69119, 69781, 51279, 65926, 50916, 59492, 51040, 50908, 51027, 51128, 51057, 50630, 51279, 51258, 56440, 50972, 50427, 51040, 57378, 50871, 51376, 50435, 50989, 51022, 77669, 72251, 51279, 52407, 62143, 69118, 62804, 50430, 50965, 50866, 50433, 51315, 63684, 50313, 50917, 50436, 51197, 51365, 69434, 50415, 51120, 51212, 50421, 50951, 51006, 50424, 51147, 69118, 50999, 57004, 51027, 51269, 50997, 51269, 51147, 66878, 51174, 69781, 65882, 51126, 50421, 51028, 51328, 79270, 50951, 51095, 51027, 75725, 50916, 64399, 64551, 58961, 50433, 51114, 61284, 51040, 52167, 69781, 76047, 51051, 50419, 50916, 51832, 57340, 50952, 50973, 51116, 50931, 51238, 50902, 51345, 50421, 50871, 51337, 64185, 62391, 53529, 50315, 65567, 59816, 71152, 50436, 64410, 69781, 50871, 51277, 66002, 76751, 52434, 50315, 60582, 50924, 56440, 62907, 50968, 56323, 50902, 61156, 51114, 51123, 50430, 51001, 50959, 50433, 50968, 51194, 69781, 50415, 51324, 51129, 51279, 51775, 50421, 51028, 51609, 50296, 52518, 50427, 51026, 57123, 50902, 52363, 50296, 51314, 50435, 51001, 50959, 51057, 50630, 50968, 51203, 56978, 51330, 50431, 50997, 51269, 50434, 50899, 51006, 69781, 51040, 51226, 67855, 53537, 50861, 57378, 70647, 77669, 69640, 50968, 51310, 50421, 51279, 51203, 51315, 51115, 50427, 50902, 52179, 50431, 51028, 51365, 50435, 51197, 51862, 50902, 51381, 50871, 52519, 69434, 50415, 51120, 53957, 50422, 51799, 50925, 50428, 58219, 50431, 50965, 65176, 61048, 50436, 58254, 51057, 50630, 75337, 79578, 51241, 57340, 57421, 51378, 50845, 69781, 51026, 51477, 50419, 50902, 68545, 57864, 51351, 50420, 50973, 50907, 50906, 52415, 50287, 51110, 50431, 50877, 59099, 51050, 65867, 50906, 51218, 50436, 51315, 51417, 69781, 50861, 63129, 51541, 50427, 51197, 51056, 50436, 51360, 51022, 69781, 51120, 51680, 50417, 51339, 51142, 50419, 51146, 59895, 50999, 67503, 50931, 51091, 50431, 50951, 79624, 50999, 50892, 69781, 51146, 55492, 51799, 57173, 50902, 50905, 50436, 69915, 51057, 50630, 50415, 50931, 51391, 50421, 51234, 51178, 50428, 51050, 51297, 50431, 72311, 50433, 50902, 70142, 50931, 51365, 69434, 50415, 51176, 50984, 50899, 51022, 50968, 51210, 50418, 76884, 50421, 51028, 51679, 54439, 54126, 50305, 51333, 50434, 50916, 54088, 50968, 54618, 50436, 50956, 51269, 50437, 50902, 51645, 69781, 76047, 52514, 50421, 51214, 51008, 50424, 51503, 53272, 51279, 51108, 69434, 50415, 51799, 57242, 51114, 62846, 51787, 54104, 51114, 50835, 51787, 52670, 51114, 50837, 51787, 52767, 50997, 50839, 51114, 50829, 51787, 51604, 50294, 50933, 51378, 52434, 50301, 66867, 67502, 51315, 51008, 69781, 51114, 50829, 51787, 50867, 54569, 50908, 50877, 76875, 53803, 51114, 50837, 51787, 53196, 51114, 50813, 51787, 50867, 51057, 50630, 50989, 64215, 74197, 51682, 50322, 51689, 50334, 58745, 51114, 51682, 50334, 61721, 51176, 75967, 51609, 50296, 51665, 50305, 53308, 51026, 73098, 52731, 50434, 66735, 69781, 50951, 51391, 61683, 67445, 64189, 59741, 50968, 52188, 50431, 51028, 66129, 50931, 67022, 50317, 51806, 50437, 51040, 51126, 69781, 50861, 50908, 50916, 76247, 50973, 51645, 50428, 51028, 74308, 50902, 51142, 50434, 50968, 50981, 69781, 50916, 61686, 50820, 51040, 60567, 50968, 77554, 51001, 51524, 71625, 51333, 51057, 50630, 51040, 61687, 59602, 53405, 51001, 52048, 50427, 51360, 50863, 51324, 51051, 51279, 51480, 50432, 51085, 57800, 50320, 51254, 50435, 50931, 51470, 50436, 51360, 51269, 69781, 51120, 52845, 50322, 51477, 50427, 51279, 56123, 63975, 51309, 51057, 50630, 51120, 51466, 58973, 58980, 50902, 52524, 50902, 51764, 50289, 52059, 50431, 50902, 50835, 69781, 50861, 63665, 51274, 50877, 51448, 51966, 51417, 50428, 51120, 63532, 50431, 51028, 50933, 51057, 50630, 50968, 51022, 50965, 51043, 50902, 51255, 51247, 51391, 50422, 51028, 50959, 50428, 51050, 52059, 50431, 50902, 72426, 51001, 51254, 69781, 50968, 53674, 50861, 56374, 50415, 51279, 73318 ]

[ 0, 250, 2635, 12, 20764, 6, 15352, 30054, 3495, 1619, 1011, 625, 11, 230, 3694, 6, 4246, 10, 13305, 483, 7513, 30, 21979, 8669, 6, 9590, 6, 21072, 6, 8, 10, 6755, 12547, 6, 7630, 14805, 6453, 9, 657, 8, 11098, 1328, 42, 8787, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 53069, 50791, 60759, 50791, 61194, 50900, 65758, 71420, 50859, 66088, 51026, 51189, 51085, 77392, 60715, 50902, 50921, 50931, 50921, 50861, 53538, 59363, 50968, 51045, 53069, 50973, 51157, 50902, 51073, 51279, 51141, 50916, 51417, 50791, 62518, 51315, 50889, 50431, 50877, 79340, 53960, 60281, 51027, 50849, 50443, 50871, 51116, 50899, 51189, 50900, 51218, 51120, 51413, 50791, 61576, 51027, 51191, 50455, 50871, 66363, 59363, 50877, 50836, 53069, 50877, 51505, 50876, 51505, 51026, 62461, 62518, 50871, 51138, 50431, 50973, 56294, 51505, 50899, 50980, 51050, 60181, 60281, 50876, 50950, 50443, 50861, 50980, 50973, 51157, 50902, 70660, 51608, 50296, 76909, 60715, 50861, 58568, 59363, 50973, 50855, 53069, 50916, 64715, 51919, 50289, 67425, 62518, 51315, 50914, 50431, 50861, 50884, 50968, 50884, 51027, 60181, 60281, 50916, 78954, 62860, 50900, 58871, 57743, 50805, 51120, 51472, 50791, 61576, 51027, 51141, 50455, 50877, 51331, 59363, 50876, 51045, 53069, 50899, 60757, 63621, 56501, 67899, 51364, 57034, 72376, 62518, 51214, 51073, 51098, 50892, 50431, 50951, 50828, 50999, 50884, 51062, 51031, 51146, 51031, 51487, 50817, 51273, 53284, 60281, 51098, 50892, 50440, 51026, 59692, 51026, 58903, 51274, 50951, 51761, 50876, 51285, 50900, 51472, 51150, 51103, 50791, 66219, 50900, 51006, 50454, 50900, 51277, 50455, 50791, 65493, 50899, 50838, 52177, 50916, 51277, 50419, 51086, 51958, 50322, 51141, 50902, 51364, 50973, 51077, 51668, 64389, 55133, 50871, 51277, 50430, 50916, 51277, 50431, 50916, 51237, 51493, 58880, 65925, 50899, 65668, 51147, 51138, 77025, 51283, 50443, 50968, 65332, 51238, 50876, 50980, 51027, 51364, 52419, 72376, 61576, 50916, 50889, 50455, 50999, 51392, 65493, 51062, 50883, 51601, 50916, 56115, 50899, 50838, 50418, 51026, 51073, 50419, 50902, 70622, 64332, 55859, 55133, 50900, 51277, 50425, 50951, 57834, 50899, 70217, 50968, 71327, 51158, 50876, 51345, 51461, 55859, 65925, 51027, 51277, 50437, 50931, 71647, 50951, 59503, 50931, 51226, 50999, 51059, 50876, 51761, 50900, 51283, 51050, 51285, 51140, 51413, 50791, 61576, 50900, 51241, 50455, 50871, 76104, 65493, 50931, 62959, 65608, 65585, 56310, 74941, 55916, 60906, 50418, 51086, 68588, 51472, 50419, 50951, 53819, 50318, 50821, 51220, 50950, 51140, 51103, 50791, 63655, 51146, 51031, 50900, 71202, 51487, 51031, 50899, 51309, 50431, 50791, 65925, 51220, 59575, 50899, 65534, 64524, 50899, 65534, 51080, 50443, 50968, 51141, 50951, 51141, 50902, 51218, 50916, 51417, 51315, 51413, 51493, 67425, 60715, 50791, 50883, 52478, 51793, 59182, 52078, 72376, 53336, 50877, 50980, 60355, 50899, 51274, 51026, 51274, 50425, 50876, 50824, 50431, 50877, 53960, 60281, 57127, 50871, 50817, 50899, 51277, 50443, 51085, 50883, 50900, 51604, 50299, 51274, 50916, 51761, 50900, 51300, 50861, 52512, 51150, 51103, 50791, 53675, 51085, 51274, 50445, 51027, 56197, 51026, 51172, 50455, 50791, 61765, 51026, 61243, 60906, 51601, 63383, 50419, 50916, 52169, 50306, 51192, 51324, 51345, 51086, 50980, 51668, 64389, 63655, 50871, 69192, 50916, 71983, 50916, 51277, 50431, 51086, 53819, 50312, 50811, 51315, 50889, 51493, 55859, 65925, 50902, 59653, 51086, 50838, 77025, 51283, 50443, 50877, 66291, 58681, 51141, 51027, 51472, 51216, 59770, 61576, 51279, 51013, 50455, 50900, 51575, 59363, 50861, 51010, 51601, 50877, 50950, 50416, 61022, 50418, 50861, 50950, 51214, 58548, 50838, 50419, 50899, 50950, 50906, 51505, 51098, 55859, 63655, 50997, 51031, 50900, 75343, 50877, 50884, 68928, 76242, 50902, 66355, 51919, 50292, 59238, 70217, 51461, 55859, 65925, 72862, 51027, 51277, 50443, 51247, 57253, 51745, 50877, 51761, 50861, 51274, 50900, 51627, 50871, 51870, 51140, 59770, 66219, 51085, 51204, 50455, 51027, 59961, 65493, 50876, 51138, 53069, 50900, 51277, 50916, 51735, 50861, 53751, 50296, 51364, 50876, 51870, 51493, 59770, 62518, 50899, 70217, 50916, 51484, 50916, 72872, 60281, 50861, 50924, 50440, 58529, 50442, 51120, 62860, 50899, 51627, 50899, 52512, 50871, 52512, 50877, 51300, 51273, 51103, 50791, 53675, 51120, 51472, 50455, 50791, 50883, 53069, 74231, 62926, 50899, 71368, 50921, 51026, 51336, 51098, 50991, 51088, 55706, 61426, 51026, 70217, 50871, 74275, 79340, 53194, 50321, 64332, 79164, 56214, 52586, 57776, 50877, 50838, 51098, 50821, 51284, 50805, 52487, 50923, 50443, 50861, 59238, 51505, 50916, 51505, 51085, 51364, 50861, 51627, 51150, 51145, 51182, 51077, 51926, 51077, 52453, 54533, 50449, 51026, 50889, 52112, 50455, 50902, 51031, 50931, 51010, 50929, 50884, 51032, 50846, 51292, 64654, 51636, 50461, 50968, 50921, 50876, 54444, 50884, 51809, 50861, 62016, 50861, 50838, 50419, 50973, 58404, 51442, 50289, 51141, 51216, 59770, 53432, 75564, 50916, 69192, 51315, 51013, 51384, 50805, 54970, 53417, 60759, 50876, 53936, 50313, 74275, 51172, 51032, 50884, 51292, 75634, 50883, 51558, 50938, 54294, 50924, 50903, 51636, 50437, 51027, 50879, 51304, 50977, 53506, 52201, 73423, 61022, 50443, 50899, 57926, 61805, 51192, 51120, 51294, 50871, 51283, 51273, 51189, 51201, 51183, 51690, 51183, 52453, 58977, 51027, 51215, 52112, 50455, 50877, 53194, 50306, 51192, 50871, 51505, 50970, 75634, 50883, 51032, 64654, 51636, 50461, 50876, 51010, 51273, 54042, 50884, 51601, 50871, 62016, 50871, 51277, 51214, 51095, 50419, 50899, 52035, 50304, 76206, 51012, 51098, 51003, 51304, 50901, 53506, 50938, 52453, 63863, 50916, 51277, 50425, 51026, 50806, 51558, 50866, 54294, 52201, 61426, 50899, 70217, 50861, 51932, 50973, 51932, 51050, 65610, 51735, 51140, 50914, 50960, 50883, 51032, 50840, 50970, 50884, 50947, 50883, 51284, 50905, 52487, 50938, 50903, 51636, 50437, 50973, 50838, 51558, 50901, 54294, 52839, 65809, 50861, 51627, 50443, 50916, 51167, 50861, 51653, 50973, 51653, 51315, 51274, 51493, 51091, 51182, 51623, 51926, 51790, 52453, 58977, 52112, 50455, 50916, 51238, 50998, 50883, 50929, 50883, 51067, 50839, 51076, 64654, 51636, 50461, 68455, 51493, 50901, 65986, 50949, 51601, 50861, 62016, 50861, 51277, 50419, 50916, 51160, 51279, 51274, 50876, 51761, 51216, 51189, 52453, 60517, 50871, 68589, 51364, 51384, 50805, 54970, 52839, 61426, 50916, 51172, 50431, 50900, 51138, 50998, 50884, 50947, 50883, 51032, 50884, 51558, 50901, 54294, 71424, 51636, 50437, 50916, 50817, 51216, 50849, 51304, 50845, 53506, 54042, 73423, 50871, 63893, 64524, 51120, 51294, 50443, 50861, 52169, 50306, 76206, 61805, 51192, 51273, 51295, 51284, 51623, 52487, 51790, 52453, 64223, 50871, 51006, 50449, 51027, 51095, 52112, 50454, 50871, 51277, 50455, 50877, 53936, 50309, 58813, 51653, 50960, 50883, 50947, 50884, 50970, 51041, 54831, 56912, 50916, 51277, 51493, 52217, 54405, 50949, 51809, 51140, 66356, 50899, 51505, 50871, 51192, 51214, 51215, 50900, 51215, 50899, 51172, 69606, 51032, 51196, 52453, 60517, 50877, 50859, 50947, 51552, 51733, 50854, 60336, 53199, 68016, 51384, 50854, 54970, 66084, 50861, 53936, 50315, 51505, 50899, 51653, 51050, 50824, 67603, 79184, 51304, 50901, 53506, 54042, 53432, 64116, 53785, 50973, 65668, 74302, 54765, 51558, 50887, 54294, 52423, 51130, 73423, 51182, 50854, 51926, 50955, 50441, 61048, 50443, 50899, 51073, 50916, 62667, 52297, 50296, 51336, 51493, 51091, 51384, 51336, 54970, 51183, 52453, 52267, 80235, 50449, 52112, 50455, 50899, 51012, 50998, 50884 ]

[ 0, 250, 12298, 5175, 1619, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 3152, 6757, 981, 5, 33301, 6, 7513, 30, 10, 6755, 12547, 6, 20535, 2810, 6, 21979, 8669, 6, 8, 21072, 4, 20, 2125, 11498, 10, 11956, 38451, 3938, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 2060, 538, 6, 19, 5, 40286, 2060, 119, 1176, 406, 8, 2060, 401, 16331, 1328, 6, 2351, 10, 32625, 8, 33558, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 70561, 50823, 51570, 50823, 53028, 50823, 51544, 50823, 51570, 52116, 50791, 50803, 57346, 50817, 50871, 68678, 51059, 51360, 61511, 50956, 51059, 50906, 51059, 50989, 51059, 51197, 65027, 51966, 51029, 51040, 51029, 50989, 75422, 51029, 52591, 51040, 50823, 51966, 52035, 50310, 67573, 54675, 51966, 52035, 50305, 52035, 50310, 67573, 54684, 51966, 52035, 50305, 52035, 50310, 67573, 55276, 51966, 50823, 51040, 52035, 50310, 67573, 56059, 50906, 50823, 51966, 52035, 50305, 52035, 50310, 54554, 51966, 52035, 50305, 52035, 50310, 67573, 55273, 50989, 79482, 51040, 52035, 50286, 50802, 54578, 50824, 51040, 68678, 50824, 51360, 61511, 50956, 51059, 50989, 51059, 51197, 51059, 50906, 63399, 51966, 51029, 51040, 51029, 50989, 75422, 51029, 52591, 51040, 72524, 50823, 51966, 67573, 55720, 54675, 51040, 50823, 51966, 52035, 50310, 67573, 60280, 50816, 54179, 51966, 50823, 51040, 72524, 62406, 53925, 51966, 50823, 51040, 72524, 67573, 55720, 56059, 51966, 50823, 51040, 72234, 50989, 50860, 51224, 55059, 50816, 54554, 51966, 50823, 51040, 72524, 67573, 62183, 52489, 50811, 56404, 63182, 52193, 51966, 68708, 62119, 79482, 51906, 50811, 53628, 52791, 51759, 50976, 50459, 52310, 50811, 54727, 52791, 50817, 57346, 50824, 52318, 50824, 51169, 50817, 74182, 74686, 52394, 50811, 51201, 51184, 51629, 58583, 52448, 56778, 51169, 50817, 74182, 51683, 50803, 52394, 53213, 51169, 50817, 51032, 51625, 68675, 53578, 51169, 50817, 51032, 54987, 52968, 51169, 50811, 51032, 52791, 65765, 52030, 50852, 59786, 51170, 53785, 51176, 50811, 55366, 55364, 52952, 51040, 50817, 52318, 50817, 51169, 50817, 74182, 74686, 52394, 58094, 56119, 50871, 50811, 51140, 50811, 51169, 50817, 74182, 51683, 50803, 52394, 51670, 52940, 50832, 55373, 50989, 50811, 51705, 50811, 51169, 50817, 74182, 74686, 52394, 51670, 50823, 51899, 55115, 55680, 60373, 51098, 50811, 51169, 50817, 74182, 52489, 50811, 56404, 50817, 53880, 52193, 51906, 50803, 53628, 76453, 54934, 50861, 50817, 51098, 50817, 51169, 50817, 74182, 74686, 52394, 50811, 58526, 51059, 55366, 51059, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 50811, 51600, 51184, 51394, 58583, 55115, 56778, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 53213, 51064, 50817, 51316, 54987, 51625, 54433, 51064, 50817, 51316, 54987, 52968, 51064, 50811, 51316, 52791, 65765, 54684, 50852, 59786, 51170, 53785, 50956, 50811, 51560, 55364, 52676, 51176, 50811, 55366, 50811, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 58094, 56119, 51176, 50803, 55366, 50803, 51064, 50811, 51316, 50811, 52425, 50811, 53580, 51670, 52940, 50832, 55373, 50956, 50811, 51560, 50811, 51064, 50811, 51316, 50817, 52425, 50811, 53580, 51670, 50823, 51899, 55115, 62183, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 50817, 52489, 50811, 56404, 52884, 50956, 50811, 51560, 50811, 51906, 50811, 53628, 76453, 54934, 51176, 50811, 55366, 50811, 51064, 50817, 51316, 50817, 52310, 50811, 54727, 50811, 57346, 50824, 52318, 50824, 51169, 50817, 74182, 74686, 52394, 50811, 51201, 51184, 51629, 58583, 55115, 56778, 51169, 50817, 74182, 74686, 52394, 53213, 51169, 50817, 51032, 54987, 51625, 54433, 51169, 50817, 51032, 54987, 52968, 51169, 50817, 51032, 52791, 55115, 52030, 50852, 59786, 51170, 53785, 51176, 50811, 55366, 55364, 52952, 51040, 50811, 52318, 50811, 51169, 50817, 74182, 74686, 52394, 65440, 56119, 50871, 50811, 51140, 50811, 51169, 50817, 74182, 74686, 52394, 51670, 52940, 50832, 55373, 50989, 50811, 51705, 50811, 51169, 50817, 74182, 74686, 52394, 51670, 50823, 51899, 55115, 55680, 60373, 51098, 50811, 51169, 50817, 74182, 52489, 50811, 56404, 52884, 51906, 50811, 53628, 51520, 51759, 54934, 50861, 50817, 51098, 50817, 51169, 50817, 74182, 74686, 52394, 50811, 58526, 51059, 55366, 51059, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 50811, 51600, 51184, 51394, 58583, 52448, 56778, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 53213, 51064, 50817, 51316, 51625, 66350, 51240, 53578, 51064, 50817, 51316, 63863, 51240, 52968, 51064, 50811, 51316, 52791, 65765, 52030, 50852, 59786, 51170, 53785, 50956, 50811, 51560, 55364, 52676, 51176, 50817, 55366, 50817, 51316, 50817, 51064, 50817, 52425, 50811, 53580, 58094, 56119, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 50811, 52425, 50811, 53580, 51670, 52940, 50832, 61443, 50956, 50811, 51560, 50811, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 51670, 50823, 51899, 55115, 55680, 51176, 50811, 55366, 50811, 51064, 50817, 51316, 50817, 52425, 50811, 53580, 52884, 50956, 50817, 51560, 52220, 51759, 60271, 51176, 50817, 55366, 50817, 51064, 50817, 51316, 50817, 58526, 50975, 55366, 50975, 77135, 51629, 51732, 50992, 55311, 56168, 66421, 55344, 53578, 50997, 50993, 52157, 50993, 51064, 50976, 50939, 50975, 51240, 50811, 51694, 65765, 52726, 51040, 50975, 52318, 50975, 51316, 50976, 51125, 55188, 55364, 53785, 51170, 52952, 51320, 55092, 50956, 50975, 51560, 50975, 51549, 50976, 51298, 54482, 66901, 55059, 50798, 53798, 50871, 50811, 51140, 50811, 72222, 51257, 52791, 55115, 52884, 50956, 50811, 51560, 50811, 51549, 50811, 51298, 65440, 50811, 58526, 50975, 55366, 50975, 51169, 50976, 52838, 51795, 50992, 54482, 55115, 66421, 55344, 53578, 50997, 50975, 52157, 50975, 51064, 50976, 50939, 50975, 51240, 50811, 51694, 65765, 52726, 51040, 50976, 52318, 50976, 51316, 50976, 51125, 55188, 55364, 53785, 51170, 52952, 51320, 55092, 50956, 50976, 51560, 50976, 51549, 50802, 51298, 54482, 60681, 51081, 50802, 52317, 74856, 55059, 50798, 52116, 50871, 50811, 51399, 50811, 51140, 50811, 72222, 51257, 52409, 56168, 50811, 53146, 52884, 50956, 50811, 51405, 50811, 51560, 50811, 51549, 50817, 51298, 76453, 50802, 53426, 50811, 59733, 51066, 51040, 50824, 52318, 50824, 51169, 50817, 74182, 51201, 51184, 51629, 58583, 55115, 50860, 51829, 51066, 50417, 51169, 50817, 51032, 52302, 51169, 50817, 51032, 51625, 54433, 51169, 50817, 51032, 52630, 51169, 50811, 51032, 52050, 65765, 54684, 50852, 68675, 53785, 51176, 50811, 55366, 55344, 52952, 51040, 50811, 52318, 50811, 51169, 50817, 51032, 58094, 61870, 50871, 50811, 51140, 50811, 51169, 50817, 51032, 52220, 60681, 50931, 50802, 51859, 52313, 50832, 71921, 53851, 50989, 50811, 51705, 50811, 51169, 50817, 51032, 52220, 69425, 52568, 51147, 52791, 55115, 50860, 52977, 55552, 60373, 51098, 50811, 51169, 50817, 51032, 52193, 50931, 76453, 50802, 51859, 54871, 50861, 50817, 51001, 50975, 51098, 50817, 51169, 50817, 74182, 53088, 50975, 58526, 51059, 55366, 51059, 51064, 50817, 51316, 50817, 51600, 51184, 51394, 58583, 56168, 56778, 51064, 50817, 51316, 52302, 51028, 50824, 51064, 50817, 51316, 51625, 50802, 53245, 64381, 51064, 50817, 51316, 52630, 51064, 50811, 51316, 52050, 65765, 54684, 50852, 54241, 50956, 50811, 51560, 52952, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 58094, 56119, 51176, 50811, 51081, 50975, 55366, 50811, 51064, 50811, 51316, 52220, 50811, 52317, 58919, 50832, 50860, 51240, 53851, 50956, 50811, 51560, 50811, 51064, 50811, 51316, 54987, 51670, 53798, 51399, 52791, 55115, 50802, 53146, 55552, 51176, 50811, 55366, 50811, 51064, 50811, 51316, 52193, 50956, 50811, 51405, 50811, 51560, 76453, 50976, 51170, 50817, 53426, 54871, 51176, 50803, 55366, 50803 ]

[ 0, 250, 2635, 8, 5679, 26709, 15855, 2125, 19, 5175, 4785, 6, 4246, 10, 21040, 2426, 483, 7513, 30, 21979, 8669, 6, 3459, 9590, 6, 17035, 873, 2401, 6, 8, 6755, 12547, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 5, 1049, 33215, 16739, 16, 163, 428, 6, 12608, 6, 2060, 6, 12608, 6, 163, 428, 406, 4, 20, 15229, 7630, 6568, 10, 19448, 8, 2933, 5466, 6, 10686, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 53032, 51047, 79629, 53926, 51047, 57980, 51047, 59191, 51047, 51711, 62976, 55575, 50845, 58314, 53172, 54884, 50845, 58084, 53387, 65574, 50845, 69145, 53264, 54544, 51047, 51395, 51047, 52018, 51047, 55527, 51047, 56199, 51047, 52340, 63897, 55575, 50845, 58314, 53562, 56648, 50845, 65283, 53586, 56833, 50845, 72844, 50845, 50799, 58373, 51422, 51375, 51422, 51720, 51047, 55840, 51047, 55791, 51047, 52255, 75504, 53733, 50845, 55026, 53172, 54884, 50845, 58084, 53387, 59610, 50845, 50714, 50297, 53264, 52053, 51047, 58240, 51047, 56815, 63897, 54884, 50845, 58084, 53562, 54489, 50845, 51165, 50845, 56648, 50845, 65283, 50845, 51863, 53586, 53032, 50845, 51093, 50845, 65574, 50845, 69145, 50845, 51711, 50845, 50799, 55625, 50845, 51488, 50845, 53733, 51047, 55026, 51047, 51186, 50845, 66167, 50845, 55478, 50845, 52414, 54644, 53032, 50845, 51093, 50845, 51133, 50845, 60244, 50845, 54713, 50845, 51711, 53172, 54489, 50845, 51165, 50845, 52022, 50845, 67312, 50845, 60188, 50845, 51863, 53387, 58373, 50845, 51375, 50845, 51271, 50845, 58942, 50845, 55120, 50845, 52255, 53264, 56026, 50915, 58373, 50915, 51154, 50915, 51375, 50915, 58943, 50915, 53733, 50915, 58477, 50915, 55026, 50915, 52053, 50915, 58240, 50915, 56815, 50915, 51743, 50915, 52255, 55247, 66023, 50915, 54890, 50915, 51426, 50915, 51088, 50915, 58943, 50915, 55575, 50915, 58477, 50915, 58314, 50915, 52053, 50915, 58240, 50915, 56815, 50915, 52402, 50915, 51615, 50915, 50799, 58373, 51047, 51375, 51047, 51325, 51047, 50694, 50276, 51047, 57980, 51047, 52255, 62976, 54884, 50845, 58084, 53172, 55575, 50845, 58314, 53387, 54884, 50845, 58084, 53264, 54489, 51145, 51165, 51145, 52053, 51145, 58240, 51145, 56815, 51145, 51863, 70190, 58943, 50892, 58477, 54058, 53733, 50892, 55026, 54771, 58943, 50892, 58477, 50892, 50799, 53032, 51148, 51093, 51148, 53926, 51148, 57980, 51148, 59191, 51148, 51711, 72442, 55575, 50905, 58314, 54335, 55321, 50905, 55988, 54342, 55575, 50905, 58314, 54137, 54489, 51244, 51165, 51244, 52053, 51244, 58240, 51244, 56815, 51244, 51863, 79098, 58943, 50974, 58477, 56697, 53733, 50974, 55026, 56711, 58943, 50974, 58477, 50974, 50799, 54884, 51080, 58084, 51080, 51325, 51080, 50694, 50276, 51080, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50827, 58373, 50827, 75437, 50992, 54889, 54489, 50827, 54489, 50827, 72443, 50939, 52739, 53032, 50838, 53032, 50838, 51093, 65545, 50827, 50909, 52718, 53032, 50838, 53032, 50838, 51093, 50838, 55575, 51080, 53370, 51080, 58314, 51080, 54601, 51080, 52053, 51080, 58240, 51080, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 50992, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 58373, 51283, 58373, 51283, 51375, 51283, 53733, 51080, 55026, 51080, 52022, 51080, 67312, 51080, 50992, 79309, 54489, 50827, 54489, 50827, 72443, 50939, 53720, 58373, 50827, 58373, 50827, 75437, 50992, 52788, 53032, 51080, 53032, 51080, 51093, 51080, 65574, 50932, 55575, 50932, 69145, 50932, 58314, 50932, 53926, 50932, 57980, 50932, 50909, 66405, 56648, 50838, 65283, 50838, 51213, 50838, 52022, 50838, 50694, 50274, 53581, 60383, 50838, 61228, 50838, 50953, 50838, 51271, 50838, 50694, 50275, 50838, 50799, 54884, 51080, 58084, 51080, 51325, 51080, 52053, 51080, 50694, 50276, 51080, 57980, 51080, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50827, 58373, 50827, 75437, 50992, 54889, 54489, 50827, 54489, 50827, 72443, 50939, 52739, 53032, 50838, 53032, 50838, 51093, 62431, 52718, 53032, 50838, 53032, 50838, 51093, 50838, 55575, 51080, 53370, 51080, 58314, 51080, 54601, 51080, 52053, 51080, 62027, 51080, 58240, 51080, 56815, 51080, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 50992, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 56026, 51080, 56026, 51080, 51154, 51080, 65574, 51080, 69145, 51080, 52022, 51080, 53926, 51080, 67312, 51080, 60188, 51080, 50872, 60934, 54890, 51080, 54890, 51080, 51088, 51080, 56648, 51080, 65283, 51080, 52053, 50932, 58240, 50932, 50847, 66405, 52053, 50838, 58240, 53581, 51105, 50838, 50694, 50271, 50838, 50799, 54884, 51080, 58084, 51080, 51325, 51080, 50694, 50276, 51080, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50838, 58373, 50838, 51375, 61942, 53052, 54489, 50827, 54489, 50827, 72443, 50939, 53720, 53032, 50827, 53032, 50827, 72756, 50909, 52788, 53032, 50838, 53032, 50838, 51093, 50838, 55575, 51080, 53370, 51080, 58314, 51080, 54601, 51080, 52053, 51080, 62027, 51080, 58240, 51080, 56815, 51080, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 50992, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 58373, 51283, 58373, 51283, 51375, 51283, 53733, 51080, 55026, 51080, 52022, 51080, 67312, 51080, 60188, 51080, 50992, 79309, 53141, 50827, 53141, 50827, 51201, 50827, 51257, 53720, 53141, 50827, 53141, 50827, 51201, 50827, 51257, 52788, 54544, 50827, 54544, 51283, 78805, 54884, 51080, 55575, 51080, 58084, 51080, 58314, 51080, 53926, 51080, 57980, 51080, 59191, 51080, 51298, 55608, 54489, 50827, 72443, 50939, 53086, 53032, 70491, 50932, 50909, 56109, 55625, 50838, 55625, 50838, 51488, 79222, 50838, 50799, 53032, 50827, 58373, 51381, 72756, 55575, 51080, 58314, 51080, 51325, 50932, 50694, 50276, 50932, 57980, 50932, 56031, 50417, 54489, 50827, 72443, 50939, 53004, 58373, 50932, 51375, 50932, 50992, 54869, 51133, 50932, 60244, 50932, 54713, 55665, 53032, 50838, 53032, 50838, 51093, 62431, 52718, 66023, 51283, 66023, 51283, 51426, 51283, 56648, 51080, 58943, 51080, 65283, 51080, 58477, 51080, 52053, 51080, 53926, 51080, 58240, 51080, 56815, 51080, 50979, 51283, 50456, 56026, 50827, 56026, 50827, 51154, 50827, 50872, 54529, 58373, 50827, 58373, 50827, 75437, 61388, 50799, 58373, 51080, 58373, 51080, 51375, 51080, 54884, 51080, 55575, 51080, 58084, 51080, 58314, 51080, 51325, 51283, 50694, 50276, 51283, 57980, 51283, 50992, 74521, 52053, 50838, 58240, 50838, 56815, 52718, 63293, 50827, 51491, 50827, 51213, 50932, 52646, 50932, 50694, 50274, 50932, 66168, 50932, 50944, 55608, 76859, 50827, 51638, 50827, 51037, 53086, 50673, 50305, 50827, 51794, 50827, 51017, 54043, 58373, 50827, 75437, 50992, 52989, 56026, 50827, 51154, 50827, 51228, 50932, 52022, 50932, 67312, 50932, 50872, 55371, 50673, 50300, 50827, 52316, 50827, 51396, 53176, 50673, 50305, 50827, 51794, 50827, 51017, 54529, 56026, 50827, 51154, 50827, 56401, 50799, 54884, 51080, 58084, 51080, 51325, 51283, 53926, 51283, 50694, 50276, 51283, 57980, 51283, 50423, 66023, 50827, 66023, 50827, 73975, 50979, 52580, 58373, 50827, 58373, 50827, 75437, 50992, 54889, 54489, 50827, 54489, 50827, 72443, 50939, 52739, 53032, 50838, 53032, 50838, 51093, 50838, 51325, 50838, 50694, 50276, 62431, 52718, 53032, 50838, 53032, 50838, 51093, 50838, 53370, 51080, 54601, 51080, 52053, 51283, 62027, 51283, 58240, 51283, 56815, 51283, 50909, 53624, 54489, 50932, 54489, 75034, 50932, 50939, 56109, 58373, 50827, 58373, 50827, 75437, 52053, 50838, 58240, 61942, 54529, 54890, 50827, 54890, 50827, 74672, 56538, 50799, 58373, 51283, 58373, 51283, 51375 ]

[ 0, 250, 19448, 8, 5679, 26709, 5175, 19834, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 155, 73, 398, 86, 6543, 4, 20, 2125, 3136, 23, 10, 2635, 226, 22740, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 7125, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 20, 46336, 3184, 29769, 198, 5, 40286, 230, 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, 0, 0, 0, 0, 0, 0 ]

[ 52323, 50621, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 64252, 50998, 55451, 56488, 52323, 66530, 50929, 51160, 60434, 54901, 50970, 52422, 50970, 55224, 50986, 52322, 51131, 52692, 56488, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 63965, 57998, 50929, 52692, 56406, 52323, 61446, 50986, 69171, 50970, 63492, 62867, 52323, 50621, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 64252, 50998, 55451, 56488, 52323, 66530, 50929, 51160, 60434, 54901, 50970, 52422, 50970, 55224, 50986, 52322, 51131, 52692, 56488, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 63965, 57998, 50929, 52692, 56406, 52323, 61446, 50986, 69171, 50970, 63492, 62867, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 80161, 60183, 50415, 50960, 51196, 50416, 50970, 70599, 75563, 51076, 53585, 58208, 59100, 62569, 52323, 63642, 50415, 79184, 50416, 51067, 56003, 57998, 58308, 51032, 53585, 51032, 51538, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 71888, 51076, 68381, 50960, 51157, 50416, 50970, 51346, 50420, 51563, 52483, 51563, 52605, 50947, 52446, 51207, 50805, 51076, 66326, 50960, 50938, 50440, 50970, 60204, 51067, 50805, 52323, 51725, 50889, 50415, 50970, 51157, 50416, 51067, 51346, 50426, 66776, 74313, 51032, 50889, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 80161, 60183, 50415, 50960, 51196, 50416, 50970, 70599, 75563, 51076, 53585, 58208, 59100, 62569, 52323, 63642, 50415, 79184, 50416, 51067, 56003, 57998, 58308, 51032, 53585, 51032, 51538, 52323, 51725, 50806, 50986, 69171, 50998, 62002, 53092, 52247, 51725, 52309, 51444, 52322, 51574, 50806, 57998, 50929, 55451, 66530, 52323, 59077, 50986, 69171, 50998, 62002, 52028, 52247, 51207, 52309, 51131, 52322, 58208, 57998, 58308, 64922, 52323, 71888, 51076, 68381, 50960, 51157, 50416, 50970, 51346, 50420, 51563, 52483, 51563, 52605, 50947, 52446, 51207, 50805, 51076, 66326, 50960, 50938, 50440, 50970, 60204, 51067, 50805, 52323, 51725, 50889, 70804, 51067, 55385, 50621, 50426, 50621, 66776, 74313, 51032, 52605, 50620, 51076, 52446, 50620, 51032, 52815, 51064, 50805, 52323, 50621, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 51160, 60434, 54901, 51064, 52422, 51064, 55224, 50986, 52322, 64252, 50998, 55451, 56488, 52323, 66530, 50929, 51160, 60434, 54901, 50970, 52422, 50970, 55224, 50986, 52322, 51131, 52692, 56488, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 66530, 50947, 55419, 50986, 52247, 50970, 72107, 51131, 52322, 50986, 52692, 57566, 52323, 59077, 51032, 72101, 50621, 50986, 54901, 51064, 52422, 50621, 51064, 55224, 50620, 50986, 52322, 50620, 63965, 57998, 50929, 52692, 56406, 52323, 61446, 50986, 69171, 50970, 63492, 62867, 52323, 50621, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 53271, 50889, 51032, 54243, 51246, 50889, 74175, 51064, 61086, 74175, 70804, 52323, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 51246, 50889, 51064, 78034, 50960, 72265, 53271, 50889, 52323, 50621, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 53271, 50889, 51032, 54243, 51246, 50889, 74175, 51064, 61086, 74175, 70804, 52323, 51246, 51538, 67830, 50415, 50960, 64739, 50929, 52483, 50970, 52605, 50960, 68499, 51064, 52815, 71821, 52323, 51504, 50889, 50970, 78907, 76901, 51136, 53912, 76901, 66776, 52323, 51504, 50889, 50947, 67297, 51136, 50889, 50970, 53912, 66776, 70804, 69160, 52323, 51246, 50889, 51064, 78034, 50960, 72265, 53271, 50889, 52323, 51207, 51077, 51064, 68381, 50960, 64739, 51032, 52483, 51064, 53912, 71888, 74175, 51064, 50889, 52323, 52028, 50889, 50415, 50947, 51157, 50416, 51067, 51346, 50426, 52028, 50889, 69160, 51067, 50889, 52323, 51207, 51077, 51067, 68381, 51064, 64739, 51549, 52483, 51067, 53912, 71888, 51064, 50889, 51563, 50889, 52323, 74175, 50415, 51064, 51157, 50416, 51563, 51346, 50426, 51444, 50889, 69160, 51786, 50889, 52323, 51207, 51077, 51067, 50889, 50415, 51438, 72265, 51563, 53847, 51438, 53513, 51032, 50805, 51549, 53913, 71888, 51076, 50889, 51067, 50889, 52323, 66776, 51076, 68381, 51067, 61555, 51032, 50805, 51549, 52483, 51032, 50805, 51549, 52605, 51725, 52446, 53805, 50889, 52323, 51444, 51077, 69160, 50415, 51067, 61555, 51032, 52483, 66976, 51064, 53912, 51444, 50889, 66776, 51078, 50889, 69160, 52323, 51207, 51077, 66776, 50415, 51078, 51157, 50416, 50947, 51346, 50426, 51246, 50889, 66976, 52323, 51207, 51077, 51064, 68381, 50960, 64739, 51032, 52483, 51064, 53912, 71888, 74175, 51064, 50889, 52323, 52028, 50889, 50415, 50947, 51157, 50416, 51067, 51346, 50426, 52028, 50889, 69160, 51067, 50889, 52323, 51207, 51077, 51067, 68381, 51064, 64739, 51549, 52483, 51067, 53912, 71888, 51064, 50889, 51563, 50889, 52323, 74175, 50415, 51064, 51157, 50416, 51563, 51346, 50426, 51444, 50889, 69160, 51786, 50889, 52323, 51207, 51077, 51067, 50889, 50415, 51438, 72265, 51563, 53847, 51438, 53513, 51032, 50805, 51549, 53913, 71888, 51076, 50889, 51067, 50889, 52323, 66776, 51076 ]

[ 0, 4688, 5175, 25771, 2214, 19, 10, 1769, 20889, 9, 18461, 163, 5683, 6, 4246, 10, 3366, 219, 8, 15352, 30054, 5466, 4, 16241, 212, 9590, 6, 21072, 6, 3459, 8669, 6, 18558, 10, 25118, 6, 8, 38668, 22052, 283, 561, 7, 1045, 10, 980, 219, 8, 20425, 2369, 18795, 4, 20, 2125, 16, 11, 5, 762, 9, 83, 3694, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 53028, 75011, 50841, 51570, 53083, 52261, 50799, 54511, 52204, 53733, 52204, 53818, 52204, 50796, 50796, 52591, 51229, 55889, 51229, 57748, 51229, 59646, 51229, 54630, 51229, 57006, 51229, 57939, 51229, 50938, 50799, 51408, 60647, 51229, 57316, 51209, 58466, 51229, 51343, 52591, 51229, 55889, 51229, 59099, 51229, 59646, 51229, 60021, 51229, 58138, 51229, 59349, 51229, 50938, 50799, 51408, 63817, 51334, 58798, 51390, 59099, 51229, 51073, 50444, 51209, 58138, 51256, 51227, 50799, 54884, 52204, 54924, 52204, 53370, 52204, 51209, 72107, 51366, 51685, 76501, 51229, 50980, 50799, 56648, 52204, 54511, 52204, 51209, 72107, 51322, 51685, 61627, 51209, 60835, 51209, 57099, 51256, 58603, 51366, 50924, 50799, 54511, 52204, 53733, 52204, 53818, 52204, 52383, 50828, 51322, 51192, 50920, 57503, 50820, 53321, 57918, 59338, 52383, 55004, 53332, 53109, 50920, 59317, 54689, 52505, 60369, 52823, 57503, 55477, 52005, 55739, 52383, 55004, 57918, 58255, 50920, 53332, 53439, 52505, 52793, 59317, 55108, 52383, 52793, 57503, 50820, 54234, 57918, 60226, 52383, 55004, 53332, 53528, 50920, 59317, 55256, 52505, 60369, 52823, 57503, 55223, 52005, 55647, 52383, 55004, 57918, 60550, 50920, 53332, 54026, 52505, 52793, 59317, 50971, 71861, 50828, 52383, 54940, 57503, 55138, 52383, 55004, 57918, 59338, 52383, 50836, 54238, 55004, 53332, 53109, 52383, 54940, 59317, 54689, 52505, 50828, 52383, 58972, 52823, 57503, 55477, 52005, 55739, 52383, 50836, 54238, 55004, 57918, 58255, 52383, 54940, 53332, 53439, 52505, 50828, 52383, 55004, 59317, 55108, 52383, 50828, 54238, 55004, 57503, 50820, 54234, 57918, 60226, 52383, 55004, 53332, 53528, 50920, 59317, 55256, 52505, 60369, 52823, 57503, 55223, 52005, 55647, 52383, 55004, 57918, 60550, 50920, 53332, 54026, 52505, 52793, 59317, 50971, 71861, 53704, 54545, 57503, 50820, 53321, 57918, 59338, 52383, 55004, 53332, 53109, 50920, 59317, 54689, 52505, 53704, 64116, 52823, 57503, 55477, 52005, 55739, 52383, 55004, 57918, 58255, 50920, 53332, 53439, 52505, 52793, 59317, 55108, 52383, 53704, 54545, 57503, 50820, 54234, 57918, 60226, 52383, 55004, 53332, 53528, 50920, 59317, 55256, 52505, 53704, 64116, 52823, 57503, 55223, 52005, 55647, 52383, 55004, 57918, 60550, 50920, 53332, 54026, 52505, 52793, 59317, 50971, 71861, 50828, 54238, 54355, 54545, 57503, 55138, 54238, 55004, 57918, 59338, 52383, 50836, 55684, 55004, 53332, 53109, 54238, 54940, 59317, 54689, 52505, 50828, 54238, 53243, 64116, 52823, 57503, 55477, 52005, 55739, 52383, 50836, 55684, 55004, 57918, 58255, 54238, 54940, 53332, 53439, 52505, 50828, 54238, 55004, 59317, 55108, 50770, 50321, 64270, 50949, 51955, 57143, 52005, 50841, 50799, 54884, 52204, 53818, 51449, 52595, 50828, 55387, 50825, 52595, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 53509, 50825, 52595, 55004, 57918, 59338, 54510, 50825, 52595, 50836, 53509, 55153, 54299, 55819, 53332, 53109, 54559, 50825, 52595, 54940, 50369, 52752, 64274, 54689, 51874, 50828, 55279, 50825, 52595, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 56309, 50825, 52595, 50836, 53509, 55004, 57918, 58255, 59907, 50825, 52595, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 51874, 50828, 78094, 50825, 52595, 55004, 59317, 67009, 51170, 54927, 52595, 50828, 50689, 50337, 50825, 53509, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 78094, 52523, 57918, 60226, 59907, 50825, 52595, 55153, 58071, 63862, 66691, 55819, 53332, 53528, 56309, 52523, 59317, 55256, 51874, 50828, 55279, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 54559, 50825, 52595, 55004, 57918, 60550, 54510, 54778, 58071, 63862, 64541, 56071, 53332, 54026, 51874, 50828, 53509, 52523, 50369, 52752, 58869, 68358, 51170, 50941, 50799, 54924, 51449, 53370, 52204, 52042, 50828, 54170, 50825, 52042, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 55387, 50825, 52042, 55004, 57918, 59338, 54170, 50825, 52042, 50836, 55387, 55153, 55991, 53332, 53109, 54242, 50825, 52042, 54940, 50369, 52752, 64274, 64179, 51240, 53881, 52401, 50828, 54559, 50825, 52042, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 54979, 50825, 52042, 50836, 55387, 55004, 57918, 58255, 58103, 50825, 52042, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 52401, 50828, 59907, 50825, 52042, 55004, 59317, 67009, 51170, 54927, 52042, 50828, 63933, 50825, 55387, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 50689, 50335, 52523, 57918, 60226, 63933, 50825, 52042, 55153, 56854, 55819, 53332, 53528, 59907, 52523, 59317, 55256, 52401, 50828, 58103, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 54979, 50825, 52042, 55004, 57918, 51297, 50454, 51170, 55835, 54559, 54778, 53821, 53332, 54026, 52401, 50828, 54242, 52523, 50369, 52752, 58869, 75003, 50941, 50799, 54511, 51449, 53949, 51449, 53207, 50828, 54238, 50825, 53207, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 54242, 50825, 53207, 55004, 57918, 59338, 53604, 50825, 53207, 50836, 54242, 55153, 54299, 55819, 53332, 53109, 55684, 50825, 53207, 54940, 50369, 52752, 64274, 54689, 52020, 50828, 58103, 50825, 53207, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 61533, 50825, 53207, 50836, 54242, 55004, 57918, 58255, 61106, 50825, 53207, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 52020, 50828, 50689, 50335, 50825, 53207, 55004, 59317, 67009, 51170, 54927, 53207, 50828, 50689, 50338, 50825, 54242, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 50689, 50335, 52523, 57918, 60226, 61106, 50825, 53207, 55153, 58071, 63862, 66691, 55819, 53332, 53528, 61533, 52523, 59317, 55256, 52020, 50828, 58103, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 55684, 50825, 53207, 55004, 57918, 60550, 53604, 54778, 58071, 63862, 64541, 56071, 53332, 54026, 52020, 50828, 54242, 52523, 50369, 52752, 58869, 68358, 51170, 50941, 50799, 54884, 52204, 54924, 51449, 53818, 51314, 52042, 50828, 54170, 50825, 52042, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 55387, 50825, 52042, 55004, 57918, 59338, 54170, 50825, 52042, 50836, 55387, 55153, 55991, 53332, 53109, 54510, 50825, 52042, 54940, 50369, 52752, 64274, 64179, 51240, 53881, 52401, 50828, 54559, 50825, 52042, 53243, 64116, 53434, 54419, 57503, 55477, 52005, 55739, 54979, 50825, 52042, 50836, 55387, 55004, 57918, 58255, 56309, 50825, 52042, 56768, 63440, 56071, 60292, 50933, 51070, 53439, 52401, 50828, 59907, 50825, 52042, 55004, 59317, 67009, 51170, 54927, 53370, 51314, 52042, 50828, 63933, 50825, 55387, 53243, 53766, 55073, 55217, 60549, 64428, 54704, 50689, 50335, 52523, 57918, 60226, 63933, 50825, 52042, 55153, 56854, 55819, 53332, 53528, 59907, 52523, 59317, 55256, 52401, 50828, 58103, 53617, 64116, 53434, 54419, 57503, 55223, 52005, 55647, 54979, 50825, 52042, 55004, 57918, 51297, 50454, 51170, 55835, 54559, 54778, 53821, 53332, 54026, 52401, 50828, 54242, 52523, 50369, 52752, 58869, 75003, 50941, 50799, 53733, 51449, 53818, 51449, 52595, 50828, 53509, 50825, 52595, 54355, 53766, 55073, 55217, 60549, 60228, 55138, 55387, 50825, 52595, 55004, 57918, 59338, 53509, 50825, 52595, 50836, 53509, 55153, 54299, 55819, 53332, 53109, 54510, 50825, 52595, 54940, 50369, 52752, 64274, 54689, 51874, 50828, 54559, 50825, 52595, 53243, 64116, 53434, 54419, 57503, 55477, 52005 ]

[ 0, 250, 13363, 28191, 5175, 25771, 2125, 14, 36193, 5, 30443, 7, 10, 18747, 9, 36474, 13005, 8, 22845, 41708, 4, 590, 10, 20889, 9, 21234, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 30853, 11, 230, 538, 6, 10346, 30, 10, 6755, 12547, 6, 16867, 6, 13305, 6, 38668, 9590, 6, 8, 38668, 2236, 4, 20, 33215, 16739, 9, 230, 119, 6, 12608, 6, 272, 119, 6, 2060, 119, 1176, 406, 6, 8, 211, 406, 3639, 5581, 7, 5, 3366, 219, 5466, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 8, 26545, 1328, 5, 5679, 26709, 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 ]

[ 56236, 50461, 64885, 51359, 56103, 51050, 52727, 50876, 51965, 55961, 54861, 65099, 51832, 62144, 51737, 50428, 50729, 50317, 51851, 50430, 61264, 51851, 59409, 55586, 73111, 51319, 50434, 64436, 79106, 64905, 61389, 61779, 51297, 50440, 50729, 50324, 51128, 50442, 71801, 57522, 62920, 52335, 50461, 60691, 51359, 57551, 52503, 50906, 51115, 53502, 54298, 54439, 60484, 50906, 52980, 50440, 71801, 74965, 50729, 50324, 62232, 61779, 77388, 64905, 51128, 50448, 73111, 60801, 61264, 79949, 65099, 61164, 50461, 58366, 51359, 55881, 51922, 50906, 78374, 50626, 50900, 54861, 56040, 54861, 58319, 54861, 63808, 55812, 50456, 50871, 58247, 58222, 50461, 66264, 51359, 57211, 51360, 52727, 50965, 51310, 66650, 67016, 50624, 50900, 51387, 58783, 55812, 62204, 51432, 55513, 51387, 61779, 77388, 64905, 51128, 50448, 73111, 51128, 56415, 51466, 61264, 79949, 65099, 52503, 75152, 51466, 50461, 55793, 52250, 53997, 51922, 50965, 79311, 50623, 50997, 52441, 61104, 52034, 76567, 54938, 50861, 70190, 50621, 50900, 63050, 50876, 52011, 50729, 50329, 51306, 50451, 61454, 51258, 50452, 74147, 51258, 50453, 64351, 51258, 50454, 61934, 76344, 72787, 56077, 63689, 51129, 50457, 74637, 73966, 68226, 60078, 70524, 77054, 50729, 50339, 60323, 66933, 51445, 57333, 51050, 52727, 50876, 51965, 55961, 54861, 62144, 51737, 59409, 52025, 52253, 61169, 52253, 52841, 50871, 54861, 50442, 52253, 52597, 50876, 52618, 50447, 52253, 66563, 50931, 69513, 50876, 51737, 57551, 52503, 68275, 53502, 55002, 54439, 60484, 50906, 51376, 52253, 50897, 55203, 55812, 50439, 52253, 70981, 52253, 59352, 50876, 52618, 50449, 52253, 51127, 50450, 50951, 69513, 50876, 51737, 55881, 51922, 50876, 50915, 53502, 54298, 53645, 60484, 50877, 51376, 52253, 52841, 50900, 54861, 52253, 50897, 50443, 52253, 50917, 57428, 55812, 50450, 50931, 51387, 52544, 66313, 50876, 51737, 50459, 52253, 72914, 58366, 52121, 57497, 52727, 50876, 71215, 52253, 51191, 56759, 51387, 58783, 51376, 50435, 52685, 58316, 52253, 53116, 50906, 50915, 52685, 51351, 57428, 55812, 50450, 50965, 50974, 50452, 54072, 51397, 50456, 50906, 51218, 57497, 52727, 56363, 51432, 56040, 51387, 50428, 52685, 54259, 50861, 55812, 50435, 52685, 56057, 50906, 51432, 50439, 54072, 58937, 51028, 51387, 52464, 51103, 65851, 51466, 72786, 51466, 50461, 66264, 51293, 53997, 51922, 50965, 51310, 66650, 52441, 56040, 52034, 50427, 52253, 53695, 50965, 50972, 50433, 52253, 62657, 52685, 52841, 51001, 51145, 50440, 52253, 65891, 52685, 54746, 50876, 51387, 50446, 54072, 76630, 50965, 69173, 50956, 50972, 50461, 60515, 51293, 57497, 51922, 50871, 60115, 51176, 52441, 50421, 52253, 50938, 53645, 74448, 52253, 52749, 50876, 50972, 50434, 52253, 53470, 50931, 51145, 50440, 52544, 68247, 50876, 51387, 50448, 52253, 51377, 50450, 50965, 69173, 50871, 50972, 50458, 52253, 62659, 60691, 51145, 54795, 51703, 50997, 51145, 50416, 52253, 51413, 55961, 52441, 77718, 50906, 57524, 51028, 50972, 50437, 55793, 53082, 62275, 51703, 50965, 50981, 52685, 51377, 66626, 51387, 50447, 50621, 50449, 54072, 53562, 50861, 50995, 50455, 52464, 62034, 50900, 50972, 57333, 51050, 52727, 50876, 51148, 55961, 51737, 52253, 66031, 52253, 52710, 50861, 51737, 50430, 52253, 57066, 50965, 51387, 50435, 52253, 51103, 55203, 51447, 50461, 52133, 52121, 57551, 52503, 68275, 55902, 51697, 52253, 55640, 50965, 51387, 50427, 52253, 64123, 52253, 50937, 51615, 51803, 63931, 51074, 50437, 53857, 51183, 55203, 51490, 50458, 51711, 52644, 55881, 51922, 76417, 57340, 51697, 52253, 52710, 50906, 51387, 52253, 50897, 50431, 52253, 51100, 59409, 51074, 55203, 51387, 52544, 51204, 57428, 67427, 50931, 77765, 52253, 59960, 50876, 51737, 50459, 52253, 72914, 53100, 52121, 57497, 52727, 50876, 62976, 52253, 51191, 56759, 51387, 58783, 51376, 50435, 53859, 62439, 52253, 58414, 51743, 56692, 50906, 50915, 52685, 51351, 57428, 51737, 50449, 52255, 57105, 50965, 51097, 50452, 54072, 51115, 50461, 51615, 53454, 57497, 52727, 50906, 50943, 56363, 51432, 56040, 50907, 50428, 52685, 77840, 50871, 54661, 50861, 56857, 50965, 50912, 52685, 56057, 70181, 50439, 54072, 50937, 50441, 50876, 54947, 64920, 52464, 51218, 50447, 51001, 53567, 50931, 60201, 50951, 53176, 51147, 54529, 51081, 65736, 52133, 52121, 53997, 51922, 51081, 51127, 50421, 52253, 50917, 56040, 51074, 50430, 52253, 52749, 50965, 50972, 50436, 52253, 75094, 52340, 57937, 51001, 51145, 50442, 52685, 54247, 50876, 51310, 50445, 54072, 50915, 50449, 51711, 50943, 50461, 52255, 51313, 57497, 51922, 50965, 51295, 66650, 51166, 50421, 52253, 50938, 53645, 52980, 50429, 52253, 52749, 50876, 50972, 50434, 52253, 64967, 50931, 51145, 50440, 52544, 68247, 50876, 51387, 50448, 52253, 51377, 50450, 50965, 59435, 50871, 50972, 50458, 52253, 76888, 55793, 51449, 51863, 51080, 57530, 51085, 51922, 50965, 51477, 50416, 52253, 51189, 53502, 58309, 50623, 50916, 57524, 50965, 50972, 50437, 51711, 51283, 62335, 51965, 52253, 51377, 55513, 51387, 50447, 50621, 50449, 50619, 52685, 51025, 56222, 50905, 56236, 52730, 50846, 52049, 50857, 53324, 50857, 51975, 66277, 55189, 67729, 52049, 50904, 53324, 50886, 51975, 53272, 62346, 52049, 50857, 53324, 50813, 51975, 50857, 51887, 50811, 51375, 50811, 51690, 52726, 52049, 50904, 53324, 50864, 51975, 55643, 55189, 52841, 52730, 50846, 52049, 50857, 53324, 50857, 51975, 58545, 55189, 51264, 50444, 52049, 50864, 53324, 50886, 51975, 52743, 52049, 50857, 53324, 50857, 51975, 54199, 52049, 50864, 53324, 50864, 51975, 50886, 50799, 52049, 50813, 53324, 50813, 51975, 54657, 52049, 50864, 53324, 50864, 51975, 53935, 52049, 50857, 53324, 50813, 51975, 53705, 52632, 50865, 52049, 50864, 53324, 50886, 51975, 50886, 52481, 50811, 51375, 50811, 51690, 52952, 52049, 50862, 53324, 50862, 51975, 53524, 52049, 50864, 53324, 50886, 51975, 54105, 55189, 50805, 52049, 50862, 53324, 50862, 51975, 54319, 52730, 50808, 52049, 50835, 53324, 50867, 51975, 50829, 50799, 55189, 51157, 52292, 50813, 53324, 50813, 51975, 54657, 52292, 50864, 53324, 50864, 51975, 53935, 55189, 50849, 52292, 50857, 53324, 50813, 51975, 53705, 52730, 50938, 52292, 50864, 53324, 50886, 51975, 53980, 55189, 50807, 52292, 50862, 53324, 50862, 51975, 53524, 52292, 50864, 53324, 50886, 51975, 54105, 55189, 50873, 52292, 50862, 53324, 50862, 51975, 54319, 52730, 50937, 52292, 50835, 53324, 50867, 51975, 50829, 50799, 52730, 51141, 53334, 50813, 52049, 50813, 51975, 54657, 53334, 50864, 52049, 50864, 51975, 53935, 53334, 50857, 52049, 50813, 51975, 53705, 53761, 50808, 53334, 50864, 52049, 50886, 51975, 53980, 53761, 50808, 53334, 50862, 52049, 50862, 51975, 56714, 53859, 52597, 52253, 51103, 53334, 50864, 52049, 50886, 51975, 54105, 53334, 50862, 52049, 50862, 51975, 54319, 54679, 50865, 53334, 50835, 52049, 50867, 51975, 50829, 53623, 50811, 51093, 50811, 51304, 50811, 69716, 50865, 53882, 50813, 52292, 50813, 52342, 50857, 53599, 50811, 51093, 50811, 51304, 53213, 53882, 50864, 52292, 50864, 52342, 53935, 53882, 50857, 52292, 50813, 52342, 53705, 53882, 50864, 52292, 50886, 52342, 53980, 52544, 50812, 53882, 50862, 52292, 50862, 52342, 53524, 52544, 50897, 53882, 50864, 52292, 50886, 52342, 54105, 52544, 50897, 53882, 50862, 52292, 50862, 52342, 54319, 52544, 51116, 53882 ]

[ 0, 250, 2635, 12, 20764, 3495, 657, 2214, 278, 11, 5, 762, 9, 211, 538, 6, 4246, 10, 13305, 483, 7513, 30, 38668, 22052, 6, 3459, 9590, 6, 8, 21072, 4, 590, 10, 204, 73, 306, 86, 6543, 8, 10, 20889, 9, 4801, 13410, 228, 2289, 6, 42, 15352, 30054, 1011, 625, 7630, 6568, 10, 1372, 8, 8728, 1619, 5466, 6, 25, 5, 40286, 163, 119, 6, 381, 406, 6, 8, 272, 73, 250, 18399, 4704, 5, 30443, 149, 5, 15229, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50415, 65735, 50973, 51047, 74655, 51146, 51077, 51598, 51080, 50421, 70990, 72513, 51806, 50433, 50899, 51709, 50439, 50973, 51267, 51146, 51189, 50861, 51314, 50902, 51148, 51598, 51244, 50445, 50877, 50972, 50451, 50973, 50974, 50457, 78980, 50876, 51254, 50460, 51220, 50808, 51601, 50973, 55332, 78989, 52845, 50299, 51310, 50973, 51486, 50902, 51486, 51598, 60922, 65334, 51842, 50421, 50899, 51806, 51086, 51148, 50427, 65735, 50899, 50915, 50428, 51842, 50433, 70990, 50861, 51318, 79807, 51709, 50899, 59401, 73052, 51970, 50445, 50973, 51310, 50451, 50973, 62543, 51199, 50902, 51709, 50861, 61701, 65674, 51970, 50457, 50876, 77973, 50901, 57796, 50863, 51601, 50973, 55332, 78989, 71169, 51295, 50973, 51486, 50902, 51161, 51598, 60922, 70325, 51970, 50421, 70990, 51086, 51148, 72513, 52056, 50899, 50981, 50428, 51960, 50433, 50899, 51806, 50861, 51310, 79807, 51709, 50899, 59401, 73052, 51842, 50445, 50973, 51115, 50451, 50973, 64675, 51199, 50902, 51709, 50861, 61737, 65674, 51960, 50457, 50876, 69887, 50892, 57796, 50870, 51601, 50973, 62543, 64306, 52026, 50299, 51318, 50973, 51538, 50902, 51538, 51598, 70153, 65597, 51970, 50421, 50899, 51709, 51086, 51183, 72513, 51709, 50899, 50995, 50428, 51970, 50433, 50899, 63869, 51295, 79807, 51709, 50899, 68432, 73052, 51983, 50445, 50973, 51295, 50451, 50973, 55332, 51199, 50902, 51709, 50861, 63184, 79857, 51842, 50457, 50876, 77973, 50892, 57796, 50863, 51601, 50899, 63257, 70651, 52026, 50304, 51318, 50999, 68900, 51103, 50931, 51103, 51598, 63346, 70325, 51983, 50421, 62440, 50899, 51310, 50427, 70179, 50871, 50915, 50428, 51983, 50433, 50871, 67891, 77046, 51086, 66228, 54828, 73790, 51310, 50861, 51314, 50931, 51103, 50902, 51103, 51598, 63346, 69864, 51970, 50445, 50877, 51853, 50315, 51115, 50451, 50973, 62543, 62771, 79857, 51842, 50457, 50876, 52169, 50306, 50892, 57796, 50863, 51601, 50916, 52104, 50299, 52845, 50304, 51310, 50900, 51077, 50973, 71651, 51896, 50861, 51894, 51704, 52071, 50798, 65334, 51960, 50421, 51085, 52104, 50296, 51148, 50427, 51315, 52104, 50299, 51003, 50428, 51970, 50433, 51026, 71451, 51115, 50439, 50900, 51283, 50861, 66646, 69864, 51983, 50445, 50899, 78912, 51310, 50451, 50916, 68996, 62771, 67940, 51842, 50457, 50900, 51962, 50310, 61434, 52415, 50299, 50901, 51704, 50866, 57796, 50837, 51601, 50916, 51853, 50299, 63085, 51318, 50900, 51127, 50973, 71651, 51623, 50861, 51605, 51704, 52071, 50798, 65597, 51970, 50421, 51085, 51853, 50296, 51148, 50427, 51315, 51712, 50299, 50995, 50428, 51468, 50433, 51026, 69476, 51115, 50439, 50900, 51283, 50861, 68432, 69864, 51970, 50445, 50899, 62215, 51318, 50451, 50916, 61528, 61737, 67940, 51970, 50457, 50900, 73446, 65327, 52434, 50299, 50892, 51704, 50987, 57796, 50870, 51601, 50989, 68589, 52454, 50301, 76602, 51295, 50899, 74882, 51103, 50876, 50918, 51507, 60881, 65334, 51970, 50421, 51120, 51260, 50298, 51148, 50427, 51378, 51712, 50301, 50995, 50428, 51960, 50433, 51027, 61566, 51115, 50439, 50902, 62159, 68691, 71004, 51295, 51507, 73013, 73052, 51970, 50445, 50968, 66982, 51310, 50451, 50861, 57669, 67734, 59537, 51003, 51785, 50987, 50903, 68317, 51960, 50457, 51027, 71274, 57254, 60358, 50974, 52413, 50866, 57796, 50837, 51601, 52252, 51145, 52471, 51148, 50973, 62543, 64306, 71169, 51318, 50973, 51103, 50902, 51103, 51598, 54805, 65334, 51956, 50421, 50899, 51709, 51086, 51115, 50422, 51960, 72513, 51380, 50899, 51003, 50428, 51956, 50433, 50861, 62035, 51199, 50434, 51468, 50439, 52252, 51148, 52471, 51145, 51086, 64449, 56135, 52454, 50306, 51318, 50861, 51244, 50902, 51077, 51598, 51336, 50440, 51762, 50445, 50877, 61418, 51115, 64979, 57471, 50891, 57048, 57136, 50973, 65721, 56951, 70000, 50876, 69887, 70634, 51289, 54162, 50818, 51601, 52252, 51353, 52471, 51151, 50973, 57777, 56931, 63821, 51800, 50299, 51310, 50973, 51161, 51598, 51189, 67779, 65533, 51762, 50421, 50902, 51109, 51086, 51145, 50422, 51842, 50427, 63775, 50899, 58799, 68016, 51762, 50433, 50902, 51267, 69640, 51598, 50917, 50434, 52352, 51005, 57972, 50861, 79746, 51310, 51598, 55157, 68017, 51762, 50445, 50902, 66154, 51295, 50446, 51468, 50451, 50861, 64535, 58399, 56951, 67940, 51471, 50457, 50876, 69887, 58127, 60756, 50892, 51598, 67074, 51970, 51601, 52252, 51353, 52471, 51151, 50973, 63785, 57260, 58794, 51734, 50299, 51318, 50973, 51538, 51598, 57394, 72083, 51956, 50421, 50902, 51253, 51086, 51047, 50422, 51983, 50427, 69459, 50899, 57604, 70690, 51762, 50433, 50902, 51253, 50861, 51295, 51598, 78446, 51927, 51005, 57270, 50861, 79746, 51115, 51598, 62343, 68017, 51956, 50445, 50902, 66154, 51310, 50446, 51960, 50451, 50861, 78288, 57864, 58379, 65674, 51471, 50457, 50876, 77509, 58399, 59374, 50905, 51598, 50924, 50458, 51468, 51601, 52252, 51293, 52471, 51353, 50973, 73585, 58871, 67278, 68518, 51295, 50973, 51161, 51598, 57394, 64664, 80077, 50902, 51109, 51086, 51148, 50422, 51983, 50427, 63775, 50899, 57604, 68016, 51956, 50433, 50902, 51312, 50861, 51295, 51598, 78446, 56089, 65004, 50861, 60959, 51310, 51598, 55157, 68017, 51762, 50445, 50902, 66154, 51115, 50446, 51960, 50451, 50861, 51853, 50315, 58127, 56951, 65674, 51931, 50457, 50876, 69887, 57348, 60379, 50845, 51598, 67074, 51468, 51601, 51716, 51183, 52009, 51047, 50899, 67891, 71883, 62447, 51295, 50999, 68900, 51127, 50931, 51336, 51598, 57394, 50961, 50416, 80077, 50871, 51709, 50899, 51295, 50422, 51842, 76946, 52056, 50871, 58379, 77751, 51956, 50433, 50871, 63257, 50905, 51598, 66881, 58140, 60470, 52252, 51183, 52471, 51145, 51086, 64449, 55143, 73790, 51115, 50861, 51447, 50931, 51103, 50902, 51103, 51598, 62343, 68017, 51762, 50445, 50877, 78288, 51115, 50446, 51468, 50451, 50973, 55332, 57604, 79857, 51762, 50457, 50876, 77509, 50845, 51598, 73246, 51983, 51601, 51716, 51313, 52295, 51353, 50900, 61679, 63141, 74471, 69970, 51115, 50861, 71052, 51077, 51704, 57394, 70426, 51956, 50421, 50900, 51310, 51315, 51148, 50422, 51970, 50427, 51026, 72272, 51295, 50804, 71362, 51956, 50433, 50900, 51310, 70330, 51704, 77121, 71218, 58159, 50900, 64464, 51295, 51704, 64132, 77378, 51931, 50445, 50899, 61432, 51318, 50446, 51468, 50451, 50916, 63327, 50995, 51704, 58668, 79857, 51931, 50457, 50900, 52415, 50310, 65792, 51962, 50299, 70634, 51970, 51601, 51716, 51293, 52295, 51151, 50900, 61679, 51712, 50299, 52845, 50308, 70156, 51310, 74367, 50973, 50918, 51704, 67777, 70426, 79224, 50900, 51318, 51315, 51047, 50422, 51970, 50427, 51026, 68184, 51310, 50804, 70690, 51471, 50433, 50900, 51318, 65218, 51704, 66881, 71218, 57270, 50900, 51141, 69640, 51704, 64132, 68017, 51956, 50445, 50899, 61432, 51115, 50446, 51970, 50451, 50916, 63327, 50915, 51704, 71441, 65674, 51956, 50457, 50900, 73446, 65792, 52415, 50299, 73752, 51468, 51601, 52009, 51151, 53608, 51293, 50899, 62838, 51712, 50301, 52845, 50310, 75628, 51189, 50899, 51310, 77113, 51507, 67777, 64664, 51762, 50421, 50899, 51189, 51378, 51183, 50422, 51842, 50427, 51027, 68369, 58379, 70690, 51471, 50433, 51027, 59537, 51295, 51507, 78446, 51927, 51005, 57270, 50899, 62159, 56876, 51157, 68485, 51507, 56001, 67268, 51471, 50445, 50916, 75670, 51310, 50446, 51842, 50451, 50916, 57864 ]

[ 0, 713, 765, 5175, 2214, 16, 278, 11, 230, 3694, 8, 3136, 23, 41, 12447, 1001, 20889, 6, 4246, 10, 38668, 483, 6, 36075, 8669, 6, 8, 385, 922, 438, 15677, 14, 283, 561, 7, 1045, 10, 15352, 30054, 8, 20425, 5466, 19, 10, 11602, 9, 980, 219, 3366, 6601, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 71628, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 50799, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 62760, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 50799, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 71628, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 50799, 57057, 73672, 55852, 50331, 51628, 64822, 55852, 50321, 55852, 50330, 51757, 62760, 55852, 50321, 55852, 50328, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 52591, 71628, 55852, 50326, 55852, 50331, 52765, 71628, 55852, 50326, 55852, 50331, 51724, 71628, 55852, 50326, 55852, 50331, 52513, 71628, 55852, 50326, 55852, 50331, 51754, 71628, 55852, 50326, 55852, 50331, 50800, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 52910, 52648, 50795, 52412, 50795, 53015, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 53218, 52276, 50795, 52479, 50795, 52452, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 76755, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50338, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50331, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 59143, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50331, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50338, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 76755, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50338, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50331, 50795, 65409, 50983, 52648, 50807, 52412, 50807, 53015, 50807, 57210, 52910, 52648, 50795, 52412, 50795, 53015, 56750, 50328, 51736, 51611, 50983, 52276, 50807, 52479, 50807, 52452, 50807, 59143, 53218, 52276, 50795, 52479, 50795, 52452, 56750, 50331, 51798, 53682, 50983, 52276, 50983, 53112, 50983, 52117, 50983, 66840, 51091, 52591, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 54253, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 51646, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50335, 53658, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50333, 51923, 52305, 50795, 53112, 50795, 52479, 50795, 53015, 56750, 50338, 50795, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 19448, 5175, 25771, 2214, 4246, 10, 6755, 12547, 6, 13305, 6, 2352, 6757, 6, 2662, 271, 6, 8, 1515, 21305, 6, 2351, 10, 3366, 219, 8, 33558, 5466, 4, 8504, 11, 230, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 10, 33215, 16739, 9, 230, 6, 272, 406, 6, 211, 119, 6, 1918, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50426, 79151, 55277, 79151, 52121, 50799, 52133, 51293, 51743, 51293, 79656, 52338, 51293, 51996, 51293, 52196, 51293, 50945, 50844, 57971, 50844, 59849, 50844, 73980, 54788, 51411, 50417, 52327, 56944, 54351, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 62149, 76668, 50844, 52327, 56944, 53450, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50945, 50844, 57971, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 50844, 53357, 50844, 57971, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 60785, 76668, 50844, 51607, 56944, 54004, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 50945, 50844, 57971, 50844, 51607, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 52133, 51448, 51743, 51448, 51615, 51448, 52338, 51448, 51996, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 54788, 51411, 79151, 52121, 50417, 59849, 56944, 54351, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 62149, 61668, 50844, 52327, 56944, 53450, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50964, 50844, 54664, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 60977, 51607, 56944, 50844, 50799, 53181, 51448, 51881, 51448, 51615, 51448, 54277, 51448, 52665, 51448, 51946, 51448, 51096, 50844, 55151, 50844, 63767, 50844, 73980, 54788, 51411, 50417, 52257, 56944, 54351, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 62149, 63241, 50844, 52257, 56944, 53450, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 51096, 50844, 55151, 50844, 52257, 50844, 73980, 60234, 54910, 56944, 53614, 53181, 51448, 51881, 51448, 51743, 51448, 54277, 51448, 52665, 51448, 51996, 51448, 51096, 50844, 55151, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 60785, 63241, 50844, 51669, 56944, 54004, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 51096, 50844, 55151, 50844, 51669, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 51881, 51448, 51743, 51448, 51656, 51448, 52665, 51448, 51996, 51448, 52196, 51448, 72987, 54931, 50844, 59849, 50844, 73980, 54788, 51411, 50417, 52327, 56944, 54351, 72987, 54931, 50844, 54910, 50844, 73980, 62149, 68963, 50844, 52327, 56944, 53450, 72987, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 72987, 54931, 50844, 52327, 50844, 73980, 60234, 54910, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 51607, 50844, 73980, 60977, 52257, 56944, 50844, 50799, 52133, 51293, 51743, 51293, 79656, 52338, 51293, 51996, 51293, 52196, 51293, 50945, 50844, 57971, 50844, 59849, 50844, 73980, 54788, 51411, 79151, 52121, 50417, 52327, 56944, 54351, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 62149, 76668, 50844, 52327, 56944, 53450, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50945, 50844, 57971, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 50844, 53357, 50844, 57971, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 50945, 50844, 57971, 50844, 53876, 50844, 73980, 60785, 76668, 50844, 51607, 56944, 54004, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 50945, 50844, 57971, 50844, 51607, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 52133, 51448, 51743, 51448, 51615, 51448, 52338, 51448, 51996, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 54788, 51411, 50417, 59849, 56944, 54351, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 62149, 61668, 50844, 52327, 56944, 53450, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 50964, 50844, 54664, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 60977, 51607, 56944, 50844, 50799, 53181, 51448, 51881, 51448, 51615, 51448, 54277, 51448, 52665, 51448, 51946, 51448, 51096, 50844, 55151, 50844, 63767, 50844, 73980, 54788, 51411, 50417, 52257, 56944, 54351, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 62149, 63241, 50844, 52257, 56944, 53450, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 51096, 50844, 55151, 50844, 52257, 50844, 73980, 60234, 54910, 56944, 53614, 53181, 51448, 51881, 51448, 51743, 51448, 54277, 51448, 52665, 51448, 51996, 51448, 51096, 50844, 55151, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 51096, 50844, 55151, 50844, 54910, 50844, 73980, 60785, 63241, 50844, 51669, 56944, 54004, 51096, 50844, 54910, 50844, 73980, 56751, 51411, 50453, 52327, 56944, 54194, 51096, 50844, 55151, 50844, 51669, 50844, 73980, 60977, 52327, 56944, 50844, 50799, 51881, 51448, 51743, 51448, 51656, 51448, 52665, 51448, 51996, 51448, 52196, 51448, 72987, 54931, 50844, 59849, 50844, 73980, 54788, 51411, 79151, 52121, 50417, 52327, 56944, 54351, 72987, 54931, 50844, 54910, 50844, 73980, 62149, 68963, 50844, 52327, 56944, 53450, 72987, 54910, 50844, 73980, 56751, 51411, 50429, 51669, 56944, 53513, 72987, 54931, 50844, 52327, 50844, 73980, 60234, 54910, 56944, 53614, 52133, 51448, 52033, 51448, 51615, 51448, 52338, 51448, 53064, 51448, 51946, 51448, 50964, 50844, 54664, 50844, 52257, 50844, 73980, 54788, 51411, 50441, 63767, 56944, 53783, 50964, 50844, 54664, 50844, 53876, 50844, 73980, 60785, 61668, 50844, 51607, 56944, 54004, 50964, 50844, 53876, 50844, 73980, 56751, 51411, 50453, 52257, 56944, 54194, 50964, 50844, 54664, 50844, 51607, 50844, 73980, 60977, 52257, 56944, 50844, 50799, 55499, 51059, 54019, 51059, 52133, 51293, 51743, 51293, 79656, 52338, 51293, 51996, 51293, 52196, 51293, 50945, 50844, 59849, 50844, 73980, 54788, 51411, 50417, 52327, 56944, 54351, 50945, 50844, 53876, 50844, 73980, 62149, 52327, 56944, 53450, 50945, 50844, 53876, 50844, 73980, 56751, 51411, 50429, 51607, 56944, 53513, 52380, 50803, 62292, 71912, 50844, 52327, 50844, 73980, 60234, 53876, 56944, 53614, 52380, 51795, 62292, 51795, 50945, 50844, 52327, 50844, 73980, 54788, 51411, 50441, 59849, 56944, 53783, 50945, 50844, 53876, 50844 ]

[ 0, 250, 2635, 8, 2933, 5175, 2125, 4246, 10, 21040, 2426, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 20, 20889, 16, 10, 16906, 352, 226, 22740, 6, 8, 5, 33215, 16739, 9, 272, 6, 1918, 6, 8, 163, 119, 17992, 7, 5, 45565, 12589, 5466, 4, 2285, 63, 15549, 38639, 6, 5, 15229, 7630, 6568, 10, 25306, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 61791, 53032, 50807, 53195, 52910, 53032, 50807, 53195, 52424, 53032, 50918, 53195, 50918, 50799, 52758, 50795, 53141, 52115, 53195, 50795, 52969, 51631, 53141, 50795, 53429, 51736, 53195, 50795, 52969, 51646, 53195, 50918, 52969, 50918, 50799, 52758, 50795, 53141, 52115, 53195, 50795, 52969, 51631, 53141, 50795, 53429, 51736, 53195, 50795, 52969, 51646, 53195, 50795, 52969, 51918, 52758, 50795, 53141, 52728, 53032, 51923, 53032, 50918, 53195, 50918, 66243, 53032, 50807, 53195, 53218, 53032, 50807, 53195, 53312, 53032, 50918, 53195, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50795, 53429, 51798, 53195, 50795, 52969, 51923, 53195, 50918, 52969, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50807, 53429, 53312, 53195, 50795, 52969, 50795, 50799, 53195, 50795, 52969, 52115, 52758, 50795, 53141, 51631, 53032, 50795, 53195, 51736, 53032, 50918, 53195, 72423, 53032, 50795, 53032, 50795, 50799, 53032, 50795, 53032, 52115, 53032, 50795, 53032, 51631, 53032, 50807, 53032, 53218, 53032, 50795, 53032, 51798, 52758, 50795, 52758, 51923, 53032, 50795, 53032, 50795, 50799, 54489, 50795, 54489, 52115, 54182, 50795, 54182, 51631, 54890, 50795, 54890, 51358, 50432, 54890, 50918, 50799, 53195, 50795, 52969, 52115, 53141, 50795, 53429, 51631, 53141, 50795, 53429, 51736, 53195, 50795, 52969, 51646, 53032, 50795, 53195, 51918, 52758, 50795, 53141, 51798, 53032, 50795, 53195, 51923, 53032, 50918, 53195, 50918, 66243, 53032, 50807, 53195, 53218, 53032, 50807, 53195, 53312, 53032, 50918, 53195, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50795, 53429, 51798, 53195, 50795, 52969, 51923, 53195, 50918, 52969, 50918, 66243, 52758, 50795, 53141, 51646, 53195, 50795, 52969, 51918, 53141, 50807, 53429, 53312, 53195, 50795, 52969, 50795, 50799, 53032, 50795, 53195, 52115, 52758, 50795, 53141, 51631, 53032, 50795, 53195, 51736, 53032, 50918, 53195, 72423, 53032, 50807, 53195, 50807, 52591, 53032, 50807, 53195, 53182, 53032, 50807, 53195, 53218, 52758, 50795, 53141, 51798, 53195, 50795, 52969, 51923, 53141, 50795, 53429, 50795, 50799, 53195, 50795, 52969, 52115, 53195, 50918, 52969, 56027, 52758, 50795, 53141, 51798, 53195, 50795, 52969, 51923, 53141, 50795, 53429, 50795, 50799, 53141, 50795, 53429, 52115, 53032, 50795, 53195, 51631, 53195, 50795, 52969, 51736, 52758, 50795, 53141, 51646, 53032, 50795, 53195, 51918, 53032, 50918, 53195, 50918, 52591, 53032, 50807, 53032, 53182, 53032, 50795, 53032, 51646, 54489, 50795, 54489, 51918, 54182, 50795, 54182, 51798, 54890, 51358, 54890, 51358, 61627, 53195, 50795, 52969, 51918, 53141, 50807, 53429, 53312, 53195, 50795, 52969, 50795, 50799, 53195, 50795, 52969, 52115, 52758, 50795, 53141, 51631, 53032, 50795, 53195, 51736, 53032, 50918, 53195, 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, 250, 15352, 30054, 8, 2933, 5175, 15855, 2125, 4246, 10, 3741, 27374, 594, 6, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 204, 73, 398, 86, 6543, 8, 10, 23758, 3938, 20889, 9, 727, 163, 5683, 6, 36830, 227, 5, 40286, 272, 8, 230, 119, 1328, 42, 765, 2214, 6, 2351, 10, 980, 219, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 54122, 63603, 54548, 55265, 54122, 61993, 54548, 52302, 54122, 57369, 54548, 53578, 53489, 60517, 54548, 52630, 59633, 62938, 54122, 54396, 59633, 58976, 54122, 52265, 59633, 56987, 54122, 53785, 54548, 57776, 54122, 52676, 58658, 62968, 59633, 54129, 58658, 58772, 59633, 52267, 58658, 56877, 59633, 53851, 54122, 58977, 59633, 52568, 57961, 62353, 58658, 54085, 57961, 57859, 58658, 52193, 57961, 56995, 58658, 53736, 59633, 56912, 58658, 50817, 50799, 52118, 50817, 57961, 51795, 50416, 52230, 55265, 52118, 61993, 52230, 52302, 52118, 57369, 52230, 53578, 52760, 60517, 52230, 52630, 52345, 62938, 52118, 54396, 52345, 58976, 52118, 52265, 52345, 56987, 52118, 53785, 52230, 57776, 52118, 52676, 52661, 62968, 52345, 54129, 52661, 58772, 52345, 52267, 52661, 56877, 52345, 53851, 52118, 58977, 52345, 52568, 52360, 62353, 52661, 54085, 52360, 57859, 52661, 52193, 52360, 50817, 58658, 56575, 52661, 53736, 52360, 50817, 59633, 56771, 54267, 50817, 50799, 54122, 50803, 53276, 56778, 58658, 52244, 59633, 50803, 54832, 54433, 54122, 51973, 59633, 50803, 53328, 55396, 54548, 52119, 54122, 50803, 52230, 54241, 53489, 52057, 53480, 56119, 54548, 52284, 53328, 50803, 52661, 55373, 54267, 52116, 52661, 50803, 53469, 55680, 54548, 52163, 54832, 50803, 53252, 54934, 53276, 50803, 50799, 52661, 50803, 53480, 56778, 54548, 52244, 53328, 50803, 52661, 54433, 54267, 51973, 52661, 50803, 53469, 55396, 54548, 52119, 54832, 50803, 53252, 54241, 53276, 52057, 53480, 50803, 52661, 53609, 52661, 52284, 52230, 50803, 54548, 70048, 53480, 52116, 54470, 53532, 52230, 52163, 52724, 50803, 53489, 50802, 54122, 54934, 54470, 50803, 50799, 56064, 54024, 53480, 52244, 54470, 50803, 54548, 50802, 59633, 54433, 56064, 51973, 56549, 53300, 54470, 52119, 55532, 50803, 54122, 50802, 58658, 54241, 56549, 52057, 56064, 56119, 57961, 52284, 54548, 50803, 53480, 63058, 53328, 52116, 54832, 53532, 54548, 52163, 54832, 74218, 54934, 53276, 50803, 50799, 53328, 50803, 54750, 58297, 55183, 52244, 53328, 50803, 52230, 54433, 54267, 51973, 53232, 74218, 50802, 53252, 58542, 55183, 52119, 53276, 50803, 56687, 54241, 52360, 52057, 53232, 50803, 54750, 57699, 55183, 52284, 53328, 50803, 52230, 55373, 54267, 52116, 53232, 74218, 50802, 53252, 57325, 55183, 52163, 53276, 50803, 56687, 54934, 52360, 50803, 50799, 53232, 54024, 53232, 52244, 53252, 50803, 55183, 64381, 52724, 51973, 56687, 53300, 53232, 52119, 52230, 50803, 54267, 50802, 53328, 54241, 54750, 52057, 56687, 53609, 53232, 52284, 53252, 50803, 53276, 50802, 54832, 55373, 52724, 52116, 56687, 53532, 53232, 52163, 52230, 50803, 54267, 50802, 53328, 54934, 54750, 50803, 50799, 56687, 50803, 52360, 50802, 53276, 56778, 53232, 52244, 53252, 50803, 52360, 50802, 53276, 50802, 55183, 54433, 52724, 51973, 53874, 53300, 52118, 52119, 53252, 50803, 52661, 50802, 54267, 50802, 54548, 54241, 53874, 52057, 56687, 53609, 53232, 52284, 53252, 50803, 52360, 50802, 55183, 50802, 54122, 55373, 56687, 52116, 53480, 53532, 52661, 52163, 52230, 50803, 53328, 50802, 54548, 50802, 59633, 54934, 53480, 50803, 50799, 52724, 54024, 52360, 52244, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 54433, 52760, 51973, 52724, 53300, 52360, 52119, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54241, 52230, 52057, 52724, 53609, 52360, 52284, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 55373, 52760, 52116, 52724, 53532, 52360, 52163, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54934, 52230, 50803, 50799, 55532, 54024, 52724, 52244, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 62133, 54433, 56165, 51973, 55532, 53300, 52724, 52119, 56687, 50803, 53328, 50802, 55183, 50802, 54122, 50802, 57961, 54241, 54470, 52057, 55532, 53609, 52724, 52284, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 64974, 55373, 56165, 52116, 55532, 53532, 52724, 52163, 56687, 50803, 55183, 50802, 54122, 50802, 57961, 54934, 54470, 50803, 50799, 55532, 54024, 52724, 52244, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 64974, 54433, 55532, 51973, 75004, 58542, 62133, 52119, 57961, 52674, 54122, 52057, 59633, 50803, 56064, 50802, 57961, 57699, 54548, 52284, 54122, 50803, 53480, 55373, 53074, 52116, 55183, 74218, 50802, 54122, 57325, 53328, 52163, 53074, 50803, 55532, 54934, 53385, 50803, 50799, 53328, 50803, 54470, 56778, 54122, 52244, 53328, 50803, 52230, 54433, 52360, 51973, 54267, 50803, 53480, 55396, 59633, 52119, 54548, 50803, 52661, 54241, 52779, 52057, 52724, 50803, 53385, 56119, 52360, 52284, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 55373, 52760, 52116, 52724, 53532, 52360, 52163, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54934, 52230, 50803, 50799, 52724, 54024, 52360, 52244, 52118, 50803, 53385, 50802, 53074, 50802, 54548, 50802, 54122, 54433, 52760, 51973, 52724, 53300, 52360, 52119, 53232, 50803, 53328, 50802, 55183, 50802, 54122, 54241, 52230, 52057, 55532, 53609, 52724, 52284, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 62133, 55373, 56165, 52116, 55532, 53532, 52724, 52163, 56687, 50803, 53328, 50802, 55183, 50802, 54122, 50802, 57961, 54934, 54470, 50803, 50799, 55532, 54024, 52724, 52244, 53874, 50803, 53074, 50802, 54548, 50802, 54122, 50802, 64974, 54433, 56165, 51973, 55532, 53300, 52724, 52119, 56687, 50803, 55183, 50802, 54122, 50802, 57961, 54241, 54470, 52057, 55532, 53609, 52724, 52284, 53874, 50803, 53074, 50993, 54548, 50993, 54122, 50993, 64974, 70048, 55532, 52116, 75004, 57325, 62133, 52163, 57961, 52937, 54122, 50803, 50799, 59633, 50803, 56064, 50802, 57961, 58297, 54548, 52244, 54122, 50803, 53480, 54433, 53074, 51973, 55183, 74218, 50802, 54122, 58542, 53328, 52119, 53074, 50803, 55532, 54241, 53385, 52057, 53328, 50803, 54470, 56119, 54122, 52284, 53328, 50803, 56687, 55373, 52360, 52116, 54267, 50803, 53480, 55680, 59633, 52163, 54548, 50803, 53874, 54934, 53385, 50803, 50799, 53328, 50803, 56687, 56778, 54122, 52244, 53328, 50803, 75004, 54433, 52360, 51973, 54267, 50803, 56064, 55396, 59633, 52119, 54548, 50803, 60565, 54241, 53385, 52057, 53328, 50803, 75004, 56119, 52360, 52284, 54267, 50803, 56064, 55373, 52661, 52116, 53232, 50803, 55532, 55680, 53328, 52163, 52118, 50803, 79808, 54934, 53385, 50803, 50799, 53328, 51029, 56549, 58769, 56549, 51407, 50441, 52230, 52284, 52345, 52911, 52360, 52116, 53328, 53532, 53489, 52163, 54122, 52937, 62133, 50803, 50799, 57961, 51407, 50417, 54470, 52244, 53854, 52801, 52724, 51973, 52230, 53300, 52345, 52119, 52360, 52674, 53276, 52057, 54832, 51029, 50441, 57961, 52284, 58658, 52911, 55358, 52116, 58658, 53532, 55358, 52163, 58658, 50803, 53328, 54934, 57961, 50803, 50799, 50658, 50334, 50803, 53276, 56778, 57961, 52244, 58658, 50803, 53469, 54433, 59633, 51973, 54122, 50803, 53232, 55396, 54548, 52119, 55183, 50803, 52360, 54241, 54832, 52057, 53328, 50803, 54267, 56119, 59633, 52284, 55183, 50803, 54750, 63058, 53328, 52116, 54267, 53532, 59633, 52163, 54548, 50803, 53469, 50802, 52661, 54934, 54832, 50803, 50799, 54267, 50803, 52230, 50802, 53232, 51029, 50417, 59633, 52244, 55183, 50803, 54750, 51029, 50423, 53328, 51973, 54267, 53300, 59633, 52119, 54548, 50803, 53469, 50802, 52661, 54241 ]

[ 0, 250, 5679, 26709, 5175, 2125, 19, 15855, 16882, 6, 4246, 38668, 22052, 6, 32909, 6, 21979, 8669, 6, 1076, 560, 31365, 25999, 6, 8, 21072, 4, 8504, 11, 10, 155, 73, 306, 86, 6543, 8, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 19448, 8, 2829, 2933, 5466, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 8, 22848, 10, 33215, 16739, 9, 12608, 6, 2060, 6, 163, 428, 406, 6, 12608, 6, 8, 274, 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 ]

[ 51034, 50627, 51018, 51018, 51018, 50433, 52398, 50823, 51716, 55996, 58155, 50952, 59524, 51014, 56297, 61109, 52398, 50975, 51716, 60363, 58155, 51167, 59524, 51483, 56297, 50975, 50445, 51716, 50823, 53034, 56695, 53605, 50921, 56297, 51045, 50750, 50331, 51014, 50449, 51716, 50975, 53034, 50975, 51034, 51105, 51352, 53605, 51167, 56297, 50975, 50750, 50331, 51483, 51246, 51009, 51136, 51009, 50929, 51009, 51064, 51009, 50421, 52072, 50823, 52736, 56733, 54855, 50921, 57678, 50823, 72907, 51045, 50425, 52072, 50975, 52736, 59216, 54855, 51175, 57678, 51483, 72907, 51483, 50433, 52072, 50823, 52736, 55996, 54855, 50940, 57678, 51045, 72907, 51045, 50437, 52736, 50975, 52547, 60363, 58206, 51379, 72907, 50975, 64907, 51483, 51246, 51054, 51136, 50824, 73560, 68137, 50445, 52072, 50823, 52736, 56695, 54855, 50952, 57678, 51014, 72907, 51045, 50449, 52398, 52442, 51716, 52442, 51034, 51796, 51407, 58155, 56082, 59524, 52737, 56297, 52737, 50986, 51352, 51136, 51352, 51169, 51352, 51032, 51161, 51320, 52087, 56856, 50913, 52966, 66776, 51136, 51016, 51169, 51013, 65429, 59811, 56516, 52211, 50803, 51431, 53277, 50579, 52535, 52958, 50986, 51103, 51136, 50918, 51169, 50918, 51032, 50918, 52211, 50802, 51431, 51331, 64572, 54016, 58655, 50913, 58394, 66490, 51431, 50823, 51641, 51033, 51326, 52245, 50891, 51034, 51325, 51009, 50986, 51352, 51136, 51352, 51169, 51352, 51032, 51941, 51431, 52442, 52264, 52442, 51320, 52087, 56856, 50913, 52966, 66776, 77389, 78991, 51032, 51013, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53372, 68765, 71885, 50986, 51013, 51136, 51016, 51169, 51016, 51032, 51013, 59811, 50820, 51882, 51379, 52832, 50975, 50442, 50913, 60479, 53909, 62888, 50913, 50891, 52077, 51033, 54641, 63816, 54229, 51285, 51034, 51796, 51009, 50986, 51175, 51136, 51175, 51169, 51215, 51032, 51194, 51320, 52087, 50829, 52753, 51541, 58220, 51059, 50422, 70899, 51136, 50933, 51169, 50955, 51032, 79077, 52966, 50986, 51090, 77389, 51169, 51013, 51032, 50889, 50986, 51103, 51136, 51145, 51169, 51047, 51032, 51183, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53372, 51167, 54571, 68765, 51105, 51072, 50986, 51090, 51136, 51013, 51169, 50889, 51032, 55107, 51187, 52755, 50820, 51882, 51379, 52770, 50975, 50442, 50913, 60479, 53909, 50921, 55031, 62888, 50913, 50891, 52077, 51033, 54103, 63816, 54229, 51285, 53372, 51285, 51034, 51325, 51009, 50986, 51110, 51136, 51233, 51169, 51110, 51032, 51110, 51320, 52087, 50829, 52753, 51496, 52832, 51029, 50422, 50986, 51051, 51136, 50933, 51169, 50955, 51032, 75989, 52966, 66776, 51136, 50889, 51169, 51013, 51032, 50889, 50986, 51103, 51136, 51148, 51169, 51077, 51032, 51183, 59811, 57107, 54229, 50921, 53372, 62887, 50913, 50908, 52753, 50930, 52832, 57784, 54229, 51167, 53372, 68765, 71885, 50986, 51013, 51136, 50914, 73008, 51032, 53030, 51187, 52755, 50820, 52753, 51379, 52832, 50975, 50442, 50913, 60479, 53909, 50921, 55031, 62888, 50913, 50891, 52077, 51033, 54103, 63816, 53372, 51167, 54571, 51167, 51034, 51796, 51300, 50986, 50967, 51136, 51110, 51169, 51194, 51032, 51110, 51320, 52087, 50829, 51882, 51379, 52770, 50975, 50421, 53372, 50921, 54571, 62991, 50986, 51008, 51136, 51008, 51169, 50942, 51032, 63832, 50891, 51882, 51033, 52770, 63606, 53372, 51167, 54571, 67875, 50986, 51090, 51136, 51090, 51169, 51016, 51032, 50889, 50986, 51103, 51136, 51080, 51169, 51103, 51032, 51148, 59811, 50829, 51882, 51379, 52770, 50975, 50433, 53372, 50921, 54571, 62887, 50913, 50908, 51882, 51033, 52770, 61109, 53909, 51167, 55031, 68765, 51796, 50824, 50986, 51090, 51136, 51016, 51169, 51016, 51032, 50914, 55610, 52755, 50820, 52077, 51379, 54103, 50975, 50442, 50913, 60479, 54229, 50921, 53372, 62888, 50913, 50891, 52753, 51033, 52832, 63816, 52471, 51285, 53909, 51285, 51034, 51105, 51009, 51246, 51175, 51136, 51043, 50929, 50967, 51064, 51043, 51320, 52087, 50829, 51813, 51496, 54641, 51029, 50422, 51246, 51008, 51136, 50933, 71257, 51064, 51008, 50913, 52966, 51246, 51090, 51136, 51013, 56767, 51064, 50889, 51246, 50918, 51136, 51183, 80145, 51064, 51077, 51641, 50824, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53909, 68765, 51096, 51072, 51246, 51016, 51136, 50943, 58352, 68137, 51641, 50824, 51579, 54565, 51187, 52755, 50820, 52077, 51379, 54641, 50975, 50442, 50913, 60479, 54229, 50921, 60260, 52543, 50891, 52753, 51033, 58220, 63816, 52471, 51285, 51034, 51105, 51009, 51246, 51215, 51136, 51043, 50929, 51095, 51064, 51215, 51579, 51184, 52336, 52379, 51320, 52087, 50829, 51813, 51496, 56724, 51029, 50422, 51246, 50955, 51136, 50959, 71257, 51064, 79077, 52966, 51246, 51090, 51136, 51013, 50929, 51016, 68137, 51246, 51196, 51136, 51127, 50929, 51077, 51064, 51127, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 55031, 51167, 55803, 68765, 51096, 51072, 63965, 51136, 77749, 51013, 51064, 51016, 55610, 52755, 50820, 52655, 51379, 51831, 50975, 50442, 50913, 60479, 53372, 50921, 54571, 62888, 50913, 50891, 51882, 51033, 52770, 63816, 53909, 51285, 55031, 51285, 51034, 51105, 51300, 51246, 51110, 51136, 51642, 50929, 51110, 51064, 51110, 51320, 52087, 50829, 52077, 51496, 54103, 51029, 50422, 51246, 50878, 51136, 51008, 50929, 50910, 51064, 64099, 52966, 63965, 51136, 51237, 50929, 51237, 51064, 50889, 51246, 51127, 51136, 51244, 50929, 51127, 51064, 51127, 59811, 57107, 53909, 50921, 55031, 62887, 50913, 50908, 52077, 50882, 54103, 57880, 53909, 51167, 55031, 68765, 76091, 63965, 51136, 50889, 50929, 51016, 51064, 51013, 55610, 52755, 50820, 52077, 51379, 54103, 50975, 50442, 50913, 60479, 53372, 50921, 54571, 62888, 50913, 50891, 51882, 51033, 52770, 63816, 55031, 51167, 55803, 51167, 51034, 51105, 51300, 51246, 51095, 51136, 51233, 50929, 51110, 51064, 51178, 51320, 52087, 50829, 52655, 51379, 51831, 50975, 50421, 55031, 50921, 55803, 62991, 51246, 50959, 51136, 50959, 71257, 51064, 75989, 50891, 52655, 51033, 51831, 63606, 55031, 51167, 55803, 67875, 51246, 51090, 51136, 51237, 50929, 51054, 51064, 50889, 51246, 51077, 51136, 51183, 50929, 51103, 51064, 51127, 59811, 50829, 52655, 51379, 51831, 50975, 50433, 55031, 50921, 55803, 62887, 50913, 50908, 52655, 51033, 51831, 61109, 53372, 51167, 54571, 68765, 51096, 50975, 51246, 51016, 51136, 50914, 50929, 51016, 51064, 53030, 51187, 52755, 50820, 51882, 51379, 52770, 50975, 50442, 50913, 60479, 53909, 50921, 55031, 62888, 51105, 52199, 50891, 52077, 51033, 54103, 63816, 54229, 51274, 53372, 51274, 51034, 51325, 51870, 80149, 51136, 51110, 51169, 51110, 51032, 50967, 51320, 52087, 50829, 52753, 51496, 52832, 51029, 50422, 50986, 50959, 51136, 51142, 51169, 50942, 51032, 63832, 52966, 50986, 51054, 51136, 51090, 78991, 51032, 50914, 50986, 51336, 51136, 51103, 51169, 51145, 51032, 51127, 51431, 50824, 51641, 50824, 59811, 57107, 53034, 62887, 50913, 50908, 53216, 51033, 67500, 61109, 53372, 68765, 51105, 51072, 50986, 51016, 51136, 51013, 73008, 65429, 51431, 50824, 52264, 54565, 51187, 52755, 50820, 51882, 51379, 52832, 50975, 50442, 50913, 60479, 53909, 50921, 60260, 52532, 50891, 52077, 51033, 54641, 63816, 54229, 51285, 51034, 51796, 51009, 50986 ]

[ 0, 250, 20902, 3495, 2214, 4246, 3459, 8, 21979, 29589, 6, 31391, 1672, 9590, 6, 3152, 6757, 6, 8, 21040, 2426, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 13950, 13410, 228, 2289, 4, 20, 14899, 33301, 8, 204, 73, 306, 86, 6543, 1045, 10, 1372, 8, 33558, 5466, 6, 19, 5, 40286, 272, 8, 211, 1976, 5, 46336, 4811, 1328, 5, 2125, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 54920, 51055, 53195, 50918, 52969, 50918, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 52969, 50795, 54990, 57484, 50805, 71594, 52120, 53035, 65476, 53141, 50795, 53429, 50795, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 51358, 52969, 51358, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 52969, 50795, 54990, 57484, 50805, 71594, 61741, 69789, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 51358, 52969, 51358, 63755, 71594, 64765, 54920, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 52969, 50795, 54990, 57484, 50805, 71594, 61741, 65476, 53141, 50795, 53429, 50795, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 50807, 52969, 50807, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 53195, 50807, 52969, 50807, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 52969, 50795, 54990, 57484, 50805, 71594, 52120, 53035, 69789, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 50807, 52969, 50807, 51676, 58690, 63755, 71594, 64765, 54920, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 63755, 71594, 61741, 65476, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 51617, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 51676, 50923, 63755, 71594, 61741, 69789, 51676, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 51953, 50923, 63755, 71594, 64765, 54920, 51055, 51676, 50923, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 51676, 50923, 71615, 67672, 61862, 51416, 51055, 51676, 50923, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 51953, 50923, 71615, 67672, 52093, 57842, 51055, 51676, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 51676, 51054, 63755, 71594, 52120, 53035, 65476, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51617, 51552, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 51676, 50923, 63755, 71594, 52120, 53035, 69789, 51676, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 51953, 50923, 63755, 71594, 52093, 54920, 51055, 51676, 51054, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51676, 50923, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 51953, 50923, 71615, 67672, 52093, 57842, 51055, 51676, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 51676, 50923, 63755, 71594, 61741, 65476, 51676, 50923, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51617, 51552, 51207, 51013, 56745, 66976, 51076, 50943, 64765, 54920, 51055, 51897, 53336, 52012, 50879, 71836, 51131, 50805, 71615, 58993, 61862, 51416, 51055, 52012, 51013, 66615, 76901, 71615, 58993, 54161, 52975, 71615, 58993, 52093, 54585, 51055, 52012, 51013, 66615, 76901, 71615, 58993, 52166, 53675, 51617, 50923, 71615, 58993, 61741, 69789, 51617, 50923, 52012, 51013, 66615, 76901, 71615, 58993, 54161, 53563, 65476, 51617, 51552, 71615, 58993, 52093, 52894, 51055, 51504, 51013, 59737, 66776, 61416, 58993, 51897, 53336, 61416, 58993, 61862, 51132, 51055, 51504, 51013, 59737, 66776, 61416, 58993, 54161, 52975, 61416, 58993, 52093, 54908, 51055, 51504, 51013, 59737, 66776, 61416, 58993, 52166, 53675, 51617, 50923, 61416, 58993, 61741, 76616, 51617, 50923, 51504, 51013, 59737, 66776, 61416, 58993, 54161, 53563, 51640, 50806, 52333, 51552, 61416, 58993, 64765, 53053, 51055, 51207, 51013, 56745, 63755, 71594, 51897, 53336, 63755, 71594, 61862, 51137, 51055, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 52975, 63755, 71594, 52093, 57080, 51055, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 51617, 50923, 63755, 71594, 61741, 65476, 52333, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 69789, 51829, 52311, 63755, 71594, 64765, 54920, 51055, 53195, 50918, 52969, 50918, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 52120, 52905, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 53141, 50795, 53429, 50795, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 52969, 50795, 54990, 57484, 50805, 71594, 52120, 53035, 65476, 53141, 50795, 53429, 50795, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 51358, 52969, 51358, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 50806, 53141, 50795, 53429, 50795, 51617, 50923, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 65476, 52969, 50795, 54990, 50795, 52333, 50923, 63755, 71594, 52120, 53035, 69789, 53141, 50795, 53429, 50795, 51617, 50923, 51207, 51013, 56745, 63755, 51076, 53946, 51044, 53563, 51910, 50806, 53195, 50795, 52969, 50795, 52333, 50923, 63755, 71594, 64765, 54920, 51055, 51676, 55198, 51725, 51013, 66615, 71888, 71615, 67672, 51897, 53336, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615, 67672, 52093, 57842, 51055, 51207, 51013, 56745, 63755, 71594, 52166, 53675, 63755, 71594, 61741, 65476, 51207, 50879, 50960, 57484, 50805, 51076, 53946, 51044, 53563, 51910, 50806, 51207, 51013, 56745, 66976, 51076, 50943, 52093, 54920, 51055, 51897, 53336, 51725, 50879, 71836, 51207, 50805, 71615, 67672, 61862, 51416, 51055, 51725, 51013, 66615, 71888, 71615, 67672, 54161, 52975, 71615 ]

[ 0, 713, 5175, 25771, 2214, 6, 278, 11, 5, 762, 9, 230, 10431, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 15352, 30054, 8, 32076, 5466, 4, 20, 15229, 1575, 10, 11739, 9, 21072, 6, 3459, 8669, 6, 38668, 11212, 6, 13305, 6, 8, 6755, 12547, 6, 2351, 10, 4066, 8, 28026, 2369, 4, 13231, 5, 2125, 6, 5, 33215, 16739, 9, 2060, 6, 274, 10431, 6, 2060, 6, 8, 230, 10431, 16, 26584, 3520, 6, 6946, 7, 63, 13363, 28191, 20299, 4, 590, 10, 38451, 3938, 20889, 9, 727, 13410, 228, 2289, 6, 42, 2214, 5315, 10, 2394, 227, 26545, 8, 5581, 6, 442, 24, 41, 5631, 2031, 13, 3618, 6288, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 53028, 75011, 50841, 51570, 53083, 52261, 55881, 51184, 50956, 51184, 50989, 51184, 50906, 51184, 52343, 51036, 65638, 51184, 53953, 51184, 53654, 51184, 53361, 61912, 52191, 50817, 51513, 50817, 51659, 50817, 51543, 50898, 52782, 50424, 52191, 58459, 52191, 52975, 52191, 68676, 50817, 51659, 50817, 51543, 50898, 52782, 50444, 52191, 50817, 51513, 50817, 51659, 50817, 51543, 50898, 52782, 50448, 52191, 52768, 51721, 67897, 52191, 52884, 51990, 68676, 50817, 51659, 50817, 51543, 50817, 52226, 51331, 52167, 58526, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52426, 50983, 52200, 50802, 65143, 51029, 56470, 51029, 53953, 51029, 53654, 58823, 52007, 50817, 79007, 51513, 50817, 51659, 50817, 52226, 57838, 52167, 50424, 52007, 58459, 52007, 52265, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50883, 51262, 50828, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 64811, 52167, 50444, 52899, 50817, 51729, 50817, 51262, 50949, 51781, 50898, 52167, 50448, 52899, 59154, 52899, 52193, 52899, 50817, 51729, 50817, 51262, 50883, 51781, 50898, 51252, 50460, 52899, 50811, 55881, 51184, 50956, 51184, 50989, 51184, 50906, 51184, 52343, 51036, 65638, 51184, 53953, 51184, 53654, 51184, 53361, 61912, 52191, 50817, 51513, 50817, 51659, 50817, 51543, 51130, 52782, 50424, 52191, 58459, 52191, 52975, 52191, 68676, 50817, 51659, 50817, 51543, 51130, 52782, 50444, 52191, 50817, 51513, 50895, 51659, 50817, 51543, 51044, 52782, 50448, 52191, 52768, 53179, 58268, 52191, 52884, 51990, 68676, 50883, 51659, 50817, 51543, 50883, 53179, 51052, 52167, 58526, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52426, 50983, 52200, 50860, 65143, 51029, 56470, 51029, 53953, 51029, 53654, 58823, 52007, 50817, 79007, 51513, 50817, 51659, 50817, 52226, 57838, 52167, 50424, 52007, 58459, 52007, 52265, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50817, 51262, 50828, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 64811, 52167, 50444, 52899, 50817, 51729, 50883, 51262, 50846, 51781, 50898, 52167, 50448, 52899, 52768, 51488, 50911, 51905, 50911, 50454, 52899, 52193, 52899, 50817, 51729, 50895, 51262, 50828, 51781, 50817, 51395, 50911, 51811, 54065, 51252, 50460, 52899, 50811, 55881, 51184, 50956, 51184, 50989, 51184, 50906, 51184, 52343, 51036, 65638, 51184, 53953, 51184, 53654, 51184, 53361, 51184, 51600, 52017, 52405, 52017, 50420, 52191, 50817, 51513, 50883, 51659, 50817, 51543, 51044, 52782, 50424, 52191, 58459, 52191, 52975, 52191, 68676, 50817, 51659, 50817, 51543, 51044, 52782, 50444, 52191, 50817, 51513, 50883, 51659, 50817, 51543, 51044, 52782, 50448, 52191, 52768, 51721, 67897, 52191, 52884, 51990, 68676, 50883, 51659, 50817, 51543, 50949, 52226, 54589, 52167, 58526, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52426, 50983, 52200, 50802, 65143, 51029, 56470, 51029, 53953, 51029, 53654, 51029, 51395, 51496, 51811, 51496, 50420, 52007, 50817, 79007, 51513, 50817, 51659, 50817, 52226, 57838, 52167, 50424, 52007, 58459, 52007, 52265, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50883, 51262, 50828, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 51201, 52282, 51690, 52282, 50791, 52167, 50444, 52899, 50817, 51729, 50883, 51262, 50846, 51781, 50898, 52167, 50448, 52899, 59154, 52899, 52193, 52899, 50817, 51729, 50895, 51262, 50846, 51781, 51041, 51252, 50460, 52899, 50811, 58066, 51184, 51086, 51184, 50956, 51184, 50989, 51184, 52413, 51036, 75386, 51184, 56470, 51184, 53953, 51184, 53654, 51184, 51600, 52266, 52405, 52266, 50420, 53180, 50817, 79007, 51513, 50883, 51659, 50898, 52782, 50424, 53180, 58459, 53180, 52209, 53180, 50811, 79007, 51513, 50883, 51659, 50898, 52782, 50444, 53180, 50817, 51545, 50883, 51513, 50883, 51659, 50898, 52782, 50448, 53180, 52768, 51394, 51090, 53089, 51090, 50454, 55821, 54583, 53180, 50840, 51545, 50883, 51513, 50817, 51659, 51041, 52167, 57497, 51184, 51040, 51184, 50871, 51184, 50965, 51184, 52669, 51605, 77991, 51184, 55080, 51184, 52693, 51184, 54165, 51184, 51629, 52195, 52838, 52195, 59130, 51029, 51040, 51029, 50989, 75422, 51029, 52593, 50983, 67314, 51029, 55080, 51029, 53654, 51029, 53361, 51029, 52164, 65424, 50976, 69889, 50895, 53321, 50837, 55676, 54681, 51990, 50817, 51729, 50817, 51659, 50817, 51543, 51759, 50866, 51270, 56691, 54579, 56465, 50424, 51990, 52968, 52164, 70260, 50976, 52574, 51371, 54800, 50839, 53666, 58027, 51990, 51135, 54937, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50895, 51262, 50883, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 50852, 50866, 51383, 56136, 54487, 51270, 54800, 52904, 52164, 70260, 50975, 69889, 55201, 51270, 54940, 50837, 55820, 55489, 52899, 50817, 51729, 50895, 51262, 50818, 51781, 51759, 50987, 51383, 55150, 54926, 50920, 60411, 52899, 52568, 52164, 55075, 50860, 52574, 51371, 53045, 55079, 51270, 52539, 59753, 52899, 51156, 55433, 52447, 50811, 51729, 50895, 51262, 50818, 51781, 51759, 68814, 53045, 58323, 51270, 56047, 50920, 61994, 51270, 50825, 58066, 51029, 51086, 51029, 50956, 51029, 50989, 51029, 52413, 50983, 75386, 51029, 56470, 51029, 53953, 51029, 53654, 51029, 52164, 65424, 50976, 52574, 51371, 55004, 50895, 53321, 50837, 55676, 54681, 53180, 50817, 79007, 51513, 50817, 51659, 51759, 50866, 51270, 53045, 54579, 56465, 50424, 53180, 52968, 52164, 70260, 50976, 52574, 51371, 56136, 50839, 53666, 58027, 53180, 51156, 54937, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50817, 51262, 50818, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 50852, 50866, 51383, 53836, 54487, 51270, 55692, 52904, 52164, 70260, 50975, 69889, 55201, 51270, 54940, 50837, 55820, 55489, 52899, 50817, 51729, 50895, 51262, 50828, 51781, 51759, 50987, 51383, 56691, 54926, 50920, 60411, 52899, 52768, 52164, 55075, 50860, 52574, 51371, 54857, 50846, 54287, 59753, 52899, 50898, 55433, 52899, 50817, 51729, 50895, 51262, 50846, 51781, 51759, 68814, 56136, 54814, 50920, 61994, 52191, 50811, 59130, 51029, 51040, 51029, 50989, 75422, 51029, 52593, 50983, 67314, 51029, 55080, 51029, 53654, 51029, 53361, 51029, 52164, 65424, 50976, 69889, 50895, 53321, 50837, 55676, 54681, 51990, 50817, 51729, 50817, 51659, 50817, 51543, 52586, 50866, 51270, 56691, 54579, 56465, 50424, 51990, 52968, 52164, 70260, 50976, 52574, 51371, 54800, 50839, 53666, 58027, 51990, 51041, 54937, 51360, 51407, 51040, 51407, 50871, 51407, 50965, 51407, 52669, 51358, 52899, 50811, 51729, 50883, 51262, 50818, 51781, 50817, 77991, 51407, 55080, 51407, 52693, 51407, 54165, 51407, 50852, 50866, 51383, 56136, 54487, 51270, 54800, 52904, 52164, 70260, 50975, 69889, 55201, 51270, 54940, 50837, 55820, 55489, 52899, 50817, 51729, 50895, 51262, 50828, 51781, 52586, 50987, 51383, 55150, 54926, 50920, 60411, 52899, 52568, 52164, 55075, 50860, 52574, 51371, 53045, 55079, 51270, 52539, 59753, 52899, 50898, 55433, 52447, 50962, 51729, 50895, 51262, 50818, 51781, 52586, 68814, 53045, 58323, 51270, 56047, 50920, 61994, 51270 ]